TSTP Solution File: LAT074-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT074-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n042.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:26:13 EDT 2014

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

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT074-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n042.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 19:58:48 CDT 2014
% % CPUTime  : 300.03 
% Processing problem /tmp/CiME_29881_n042.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  f : 2;";
% let X = vars "B A C D";
% let Axioms = equations F X "
% f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(A,D)))) = A;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% f lr_lex;
% ";
% 
% let p1 = precedence F "
% f > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% f mul;
% ";
% 
% let p2 = precedence F "
% f > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " f(a,f(f(b,c),f(b,c))) = f(c,f(f(b,a),f(b,a)));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),
% f(A,D)))) = A }
% (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { f(a,f(f(b,c),f(b,c))) =
% f(c,f(f(b,a),f(b,a))) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1] f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(A,D)))) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% f(f(B,f(A,C)),f(f(f(f(A,C),f(A,C)),D),f(f(f(f(f(f(A,C),B),D),D),f(A,C)),C)))
% -> f(A,C)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(f(f(A,A),D),f(f(f(f(
% f(A,V_4),D),D),A),
% f(A,V_5)))))) ->
% A
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [4] f(f(B,A),f(f(f(A,A),C),A)) -> A
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] f(f(B,A),f(A,A)) -> A
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] f(B,f(f(B,A),f(f(f(B,B),C),B))) -> f(f(f(B,B),C),B)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] f(f(B,f(f(f(A,A),C),A)),A) -> f(f(f(A,A),C),A)
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8] f(f(B,f(f(f(A,A),C),A)),f(f(A,D),f(f(f(A,A),C),A))) -> f(f(f(A,A),C),A)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] f(f(B,f(A,A)),A) -> f(A,A)
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] f(f(B,A),f(A,f(f(A,A),f(A,C)))) -> A
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] f(f(B,f(A,A)),f(f(A,A),f(A,f(f(A,A),C)))) -> f(A,A)
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] f(B,f(f(B,A),f(B,B))) -> f(B,B)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] f(f(B,f(A,A)),f(f(A,C),f(A,A))) -> f(A,A)
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] f(f(B,f(A,C)),f(f(A,C),f(f(f(A,C),f(A,C)),C))) -> f(A,C)
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] f(f(f(B,B),A),B) -> f(B,B)
% Rule [4] f(f(B,A),f(f(f(A,A),C),A)) -> A collapsed.
% Rule [6] f(B,f(f(B,A),f(f(f(B,B),C),B))) -> f(f(f(B,B),C),B) collapsed.
% Rule [7] f(f(B,f(f(f(A,A),C),A)),A) -> f(f(f(A,A),C),A) collapsed.
% Rule
% [8] f(f(B,f(f(f(A,A),C),A)),f(f(A,D),f(f(f(A,A),C),A))) -> f(f(f(A,A),C),A)
% collapsed.
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [16] f(f(B,A),f(f(f(A,A),f(B,B)),f(f(f(B,f(B,B)),A),f(A,C)))) -> A
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [17] f(f(f(B,B),A),f(f(f(A,A),B),f(f(f(f(B,B),B),A),f(A,C)))) -> A
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [18] f(f(B,f(A,f(f(A,A),f(A,C)))),A) -> f(A,f(f(A,A),f(A,C)))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [19] f(B,f(f(B,B),f(B,f(f(B,B),A)))) -> f(B,B)
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [20] f(f(B,f(f(A,A),f(A,f(f(A,A),C)))),f(A,A)) -> f(f(A,A),f(A,f(f(A,A),C)))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [21]
% f(B,f(f(B,f(f(B,B),f(B,A))),f(B,f(f(B,B),f(B,A))))) -> f(B,f(f(B,B),f(B,A)))
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [22] f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,f(C,f(B,B))),A),A),B),f(B,D)))) -> B
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [23]
% f(B,f(f(B,A),f(f(f(f(f(f(B,B),f(C,B)),A),A),f(B,B)),f(f(B,B),D)))) -> f(B,B)
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [24] f(f(B,A),f(A,f(f(B,A),f(B,A)))) -> f(f(B,A),f(B,A))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [25] f(f(B,A),f(B,B)) -> B
% Rule [12] f(B,f(f(B,A),f(B,B))) -> f(B,B) collapsed.
% Rule [13] f(f(B,f(A,A)),f(f(A,C),f(A,A))) -> f(A,A) collapsed.
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [26]
% f(f(B,f(f(A,C),f(f(f(A,C),f(A,C)),C))),f(A,C)) ->
% f(f(A,C),f(f(f(A,C),f(A,C)),C))
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [27]
% f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),C),f(f(f(f(f(A,D),C),C),A),f(A,V_4)))))) ->
% A
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [28] f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(B,A)))) -> B
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [29] f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,f(f(B,B),C)),A),A),B),f(B,D)))) -> B
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [30]
% f(f(B,f(A,A)),f(f(A,C),f(f(f(f(f(f(A,A),B),C),C),f(A,A)),f(f(A,A),D)))) ->
% f(A,A)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [31]
% f(f(B,f(A,C)),f(f(f(f(A,C),f(A,C)),f(B,B)),f(f(f(B,f(B,B)),f(A,C)),C))) ->
% f(A,C)
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [32]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),C),f(f(f(f(B,C),C),f(A,B)),B))) ->
% f(A,B)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [33]
% f(f(f(B,B),f(A,C)),f(f(f(f(A,C),f(A,C)),B),f(f(f(f(B,B),B),f(A,C)),C))) ->
% f(A,C)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [34]
% f(f(B,f(A,A)),f(f(A,f(B,B)),f(f(f(B,f(B,B)),f(A,A)),f(f(A,A),C)))) -> f(A,A)
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [35]
% f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),f(C,C)),f(f(f(C,f(C,C)),A),f(A,D)))))) -> A
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [36] f(f(f(B,B),B),f(f(f(B,B),B),f(f(B,B),f(B,A)))) -> B
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [37] f(f(B,f(f(B,B),f(B,A))),f(B,f(f(B,f(f(B,B),f(B,A))),f(B,C)))) -> B
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [38] f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),C),f(f(f(f(C,C),C),A),f(A,D)))))) -> A
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [39] f(B,f(f(B,B),f(B,A))) -> f(B,B)
% Rule [10] f(f(B,A),f(A,f(f(A,A),f(A,C)))) -> A collapsed.
% Rule [18] f(f(B,f(A,f(f(A,A),f(A,C)))),A) -> f(A,f(f(A,A),f(A,C))) collapsed.
% Rule [19] f(B,f(f(B,B),f(B,f(f(B,B),A)))) -> f(B,B) collapsed.
% Rule
% [21]
% f(B,f(f(B,f(f(B,B),f(B,A))),f(B,f(f(B,B),f(B,A))))) -> f(B,f(f(B,B),f(B,A)))
% collapsed.
% Rule [37] f(f(B,f(f(B,B),f(B,A))),f(B,f(f(B,f(f(B,B),f(B,A))),f(B,C)))) -> B
% collapsed.
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [40]
% f(f(f(B,B),f(A,A)),f(f(A,B),f(f(f(f(B,B),B),f(A,A)),f(f(A,A),C)))) -> f(A,A)
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [41] f(f(B,B),f(B,f(f(B,B),A))) -> B
% Rule [11] f(f(B,f(A,A)),f(f(A,A),f(A,f(f(A,A),C)))) -> f(A,A) collapsed.
% Rule
% [20] f(f(B,f(f(A,A),f(A,f(f(A,A),C)))),f(A,A)) -> f(f(A,A),f(A,f(f(A,A),C)))
% collapsed.
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [42]
% f(f(B,f(f(A,A),C)),f(f(f(A,A),C),f(f(f(f(A,A),C),f(f(A,A),C)),f(A,A)))) ->
% f(f(A,A),C)
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [43]
% f(f(f(B,A),f(B,A)),f(f(B,A),f(f(f(B,A),f(f(f(B,A),f(B,A)),A)),f(f(B,A),C))))
% -> f(B,A)
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [44] f(B,f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(f(B,B),C)))) -> f(B,B)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [45] f(B,f(f(A,B),f(A,B))) -> f(A,B)
% Rule [24] f(f(B,A),f(A,f(f(B,A),f(B,A)))) -> f(f(B,A),f(B,A)) collapsed.
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [46] f(f(B,B),f(f(f(B,B),A),f(f(B,B),A))) -> f(f(B,B),A)
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [47] f(B,f(f(B,A),f(B,A))) -> f(B,A)
% Rule [46] f(f(B,B),f(f(f(B,B),A),f(f(B,B),A))) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [48] f(B,f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(B,C))),f(B,B))) -> f(B,B)
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [49] f(f(B,A),f(f(f(A,A),f(f(A,B),f(A,B))),f(f(f(A,B),A),f(A,C)))) -> A
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [50] f(B,f(f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),f(B,D))),f(B,B))) -> f(B,B)
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [51] f(B,f(f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(B,C))),f(B,B))) -> f(B,B)
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [52] f(f(B,A),f(f(f(A,A),f(B,B)),f(f(f(B,f(B,B)),A),f(f(B,f(B,B)),A)))) -> A
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [53] f(f(f(B,B),A),f(f(f(A,A),B),f(f(f(f(B,B),B),A),f(f(f(B,B),B),A)))) -> A
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [54]
% f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(f(f(f(A,B),C),C),A)))) -> A
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [55]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(B,C),C),f(B,A)),A))) ->
% f(B,A)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [56]
% f(f(B,f(A,C)),f(f(f(f(A,C),f(A,C)),f(B,B)),f(f(f(B,f(B,B)),f(A,C)),A))) ->
% f(A,C)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [57]
% f(f(f(B,B),f(A,C)),f(f(f(f(A,C),f(A,C)),B),f(f(f(f(B,B),B),f(A,C)),A))) ->
% f(A,C)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [58]
% f(f(B,B),f(f(f(B,A),f(f(f(f(f(f(B,B),f(C,B)),A),A),f(B,B)),f(f(B,B),D))),B))
% -> B
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [59] f(f(B,A),f(f(f(B,A),f(B,A)),A)) -> f(f(B,A),f(B,A))
% Rule [14] f(f(B,f(A,C)),f(f(A,C),f(f(f(A,C),f(A,C)),C))) -> f(A,C) collapsed.
% Rule
% [26]
% f(f(B,f(f(A,C),f(f(f(A,C),f(A,C)),C))),f(A,C)) ->
% f(f(A,C),f(f(f(A,C),f(A,C)),C)) collapsed.
% Rule
% [43]
% f(f(f(B,A),f(B,A)),f(f(B,A),f(f(f(B,A),f(f(f(B,A),f(B,A)),A)),f(f(B,A),C))))
% -> f(B,A) collapsed.
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [60]
% f(f(B,f(A,C)),f(f(f(f(A,C),f(A,C)),D),f(f(f(f(f(f(A,C),B),D),D),f(A,C)),A)))
% -> f(A,C)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [61]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),C),f(f(f(f(B,C),C),f(A,B)),f(
% f(A,B),D))))
% -> f(A,B)
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [62] f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,B),A)))) -> f(B,B)
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [63]
% f(f(B,B),f(B,f(f(f(B,f(f(f(B,B),B),f(f(f(B,B),B),f(B,A)))),B),f(B,C)))) -> B
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [64]
% f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),f(f(A,C),f(A,C))),f(f(f(A,C),A),f(A,D))))))
% -> A
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [65]
% f(B,f(f(B,A),f(f(f(f(f(f(B,B),f(B,C)),A),A),f(B,B)),f(f(B,B),D)))) -> f(B,B)
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [66]
% f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,B),A),f(f(f(B,B),A),f(f(B,B),A))),B),
% f(B,C)))) -> B
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [67]
% f(f(f(B,A),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),A)))
% -> f(B,A)
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [68]
% f(B,f(f(A,B),f(f(f(f(A,B),f(f(A,B),f(A,B))),f(B,B)),f(f(B,B),C)))) -> f(B,B)
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [69]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(B,C),C),f(B,A)),f(
% f(B,A),D))))
% -> f(B,A)
% Current number of equations to process: 442
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [70]
% f(f(f(B,A),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),B)))
% -> f(B,A)
% Current number of equations to process: 440
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [71]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),f(B,B)),f(f(B,f(A,B)),B))) -> f(A,B)
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [72]
% f(f(f(f(f(B,B),B),f(f(B,B),B)),B),f(f(f(f(B,B),B),f(f(B,B),B)),B)) ->
% f(f(f(B,B),B),f(f(B,B),B))
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [73] f(B,f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),f(B,D))))) -> f(B,B)
% Rule
% [27]
% f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),C),f(f(f(f(f(A,D),C),C),A),f(A,V_4)))))) ->
% A collapsed.
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [74] f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(f(B,B),A)))) -> f(B,B)
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [75]
% f(B,f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(B,A))),f(B,B)),f(f(B,B),C)))) -> f(B,B)
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [76]
% f(f(B,A),f(A,f(f(f(A,f(A,A)),f(f(B,A),f(B,A))),f(f(f(B,A),f(B,A)),C)))) ->
% f(f(B,A),f(B,A))
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [77]
% f(f(B,A),f(B,f(f(f(B,f(B,B)),f(f(B,A),f(B,A))),f(f(f(B,A),f(B,A)),C)))) ->
% f(f(B,A),f(B,A))
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [78] f(B,f(f(B,B),f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(B,C))))) -> f(B,B)
% Rule
% [35]
% f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),f(C,C)),f(f(f(C,f(C,C)),A),f(A,D)))))) -> A
% collapsed.
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [79] f(f(f(B,B),B),f(f(B,B),f(B,A))) -> f(B,B)
% Rule [36] f(f(f(B,B),B),f(f(f(B,B),B),f(f(B,B),f(B,A)))) -> B collapsed.
% Current number of equations to process: 781
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [80] f(B,f(f(B,B),f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(B,C))))) -> f(B,B)
% Rule
% [38] f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),C),f(f(f(f(C,C),C),A),f(A,D)))))) -> A
% collapsed.
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [81] f(f(B,A),f(f(f(B,A),f(B,A)),B)) -> f(f(B,A),f(B,A))
% Rule
% [42]
% f(f(B,f(f(A,A),C)),f(f(f(A,A),C),f(f(f(f(A,A),C),f(f(A,A),C)),f(A,A)))) ->
% f(f(A,A),C) collapsed.
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [82]
% f(f(B,f(A,A)),f(f(A,A),f(A,f(f(A,C),f(f(f(f(C,C),C),f(A,A)),f(f(A,A),D))))))
% -> f(A,A)
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [83] f(f(B,B),f(B,f(f(f(B,f(B,f(f(B,B),A))),B),f(B,C)))) -> B
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [84] f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(A,B)))) -> B
% Current number of equations to process: 989
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced : [85] f(f(f(f(B,B),B),f(f(f(B,B),B),f(B,A))),f(B,B)) -> B
% Current number of equations to process: 989
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [86] f(B,f(f(B,B),f(A,B))) -> f(B,B)
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [87] f(f(B,B),f(B,f(A,f(B,B)))) -> B
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [88] f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(B,C))),f(B,B)) -> B
% Rule [48] f(B,f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(B,C))),f(B,B))) -> f(B,B)
% collapsed.
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [89] f(f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,B),C))),B) -> f(B,B)
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [90] f(B,f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(C,f(B,B))))) -> f(B,B)
% Current number of equations to process: 1004
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [91] f(f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(f(B,B),C))),B) -> f(B,B)
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [92] f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(D,A)))) -> A
% Rule
% [54]
% f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(f(f(f(A,B),C),C),A)))) -> A
% collapsed.
% Current number of equations to process: 1002
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [93] f(f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),f(B,D))),f(B,B)) -> B
% Rule
% [50] f(B,f(f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),f(B,D))),f(B,B))) -> f(B,B)
% collapsed.
% Current number of equations to process: 1002
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [94] f(f(B,A),f(f(f(A,A),f(B,B)),f(f(f(B,f(B,B)),A),f(C,A)))) -> A
% Rule
% [52] f(f(B,A),f(f(f(A,A),f(B,B)),f(f(f(B,f(B,B)),A),f(f(B,f(B,B)),A)))) -> A
% collapsed.
% Current number of equations to process: 1000
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [95] f(f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(B,C))),f(B,B)) -> B
% Rule
% [51] f(B,f(f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(B,C))),f(B,B))) -> f(B,B)
% collapsed.
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [96] f(f(f(B,B),A),f(f(f(A,A),B),f(f(f(f(B,B),B),A),f(C,A)))) -> A
% Rule
% [53] f(f(f(B,B),A),f(f(f(A,A),B),f(f(f(f(B,B),B),A),f(f(f(B,B),B),A)))) -> A
% collapsed.
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [97] f(f(f(B,f(A,A)),f(f(f(A,f(A,A)),f(B,B)),f(f(B,B),C))),B) -> f(B,B)
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [98] f(f(f(B,A),f(f(f(f(f(f(B,B),C),A),A),f(B,B)),f(f(B,B),D))),B) -> f(B,B)
% Rule
% [58]
% f(f(B,B),f(f(f(B,A),f(f(f(f(f(f(B,B),f(C,B)),A),A),f(B,B)),f(f(B,B),D))),B))
% -> B collapsed.
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [99] f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,f(C,f(B,B))),A),A),B),f(D,B)))) -> B
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [100] f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,f(f(B,B),C)),A),A),B),f(D,B)))) -> B
% Current number of equations to process: 1018
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [101]
% f(B,f(f(B,B),f(f(f(f(B,B),f(f(B,B),f(B,A))),f(B,B)),f(f(B,B),C)))) -> f(B,B)
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [102]
% f(B,f(f(B,A),f(f(f(f(f(f(B,B),f(C,B)),A),A),f(B,B)),f(D,f(B,B))))) -> f(B,B)
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [103]
% f(f(B,f(A,A)),f(f(A,f(B,B)),f(f(f(B,f(B,B)),f(A,A)),f(C,f(A,A))))) -> f(A,A)
% Current number of equations to process: 1014
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [104]
% f(f(f(B,B),f(A,A)),f(f(A,B),f(f(f(f(B,B),B),f(A,A)),f(C,f(A,A))))) -> f(A,A)
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [105]
% f(f(f(f(B,A),f(B,A)),A),f(f(f(A,A),C),f(f(f(f(f(B,A),C),C),A),f(A,D)))) -> A
% Current number of equations to process: 1012
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [106]
% f(f(f(f(B,A),f(B,A)),B),f(f(f(B,B),C),f(f(f(f(f(B,A),C),C),B),f(B,D)))) -> B
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [107]
% f(f(B,f(A,A)),f(f(A,C),f(f(f(f(f(f(A,A),B),C),C),f(A,A)),f(D,f(A,A))))) ->
% f(A,A)
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [108]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(A,C),C),f(B,A)),A)),f(f(B,A),f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [109]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(C,C),C),f(B,A)),A)),f(f(B,A),f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [110]
% f(f(B,A),f(A,f(f(f(f(f(A,B),f(A,f(f(A,A),C))),f(A,f(f(A,A),C))),A),f(A,D))))
% -> A
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [111] f(f(f(B,B),B),f(f(B,f(B,B)),f(f(B,B),f(B,A)))) -> B
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [112] f(f(B,f(B,B)),f(f(f(B,B),B),f(B,f(f(B,B),A)))) -> f(B,B)
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [113] f(f(f(f(B,B),f(f(B,A),f(B,A))),f(f(f(B,A),B),f(B,C))),f(B,B)) -> B
% Current number of equations to process: 1086
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [114] f(f(B,A),f(f(f(A,A),f(f(A,B),f(A,B))),f(f(f(A,B),A),f(C,A)))) -> A
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [115]
% f(f(f(f(B,A),f(B,A)),A),f(f(f(A,A),f(f(B,A),f(B,A))),f(f(f(B,A),A),f(A,C))))
% -> A
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [116]
% f(f(f(f(B,A),f(B,A)),B),f(f(f(B,B),f(f(B,A),f(B,A))),f(f(f(B,A),B),f(B,C))))
% -> B
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [117]
% f(f(f(f(f(B,A),f(B,A)),f(C,C)),f(f(f(C,f(C,C)),f(B,A)),A)),f(f(B,A),f(B,A)))
% -> f(B,A)
% Current number of equations to process: 1083
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [118]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),f(B,B)),f(f(B,f(A,B)),f(f(A,B),C))))
% -> f(A,B)
% Current number of equations to process: 1082
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [119]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,B)),f(f(B,f(B,A)),f(f(B,A),C))))
% -> f(B,A)
% Current number of equations to process: 1081
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [120]
% f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(B,A)),A)))
% -> f(B,A)
% Current number of equations to process: 1080
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [121]
% f(f(B,f(A,A)),f(f(A,A),f(A,f(f(A,f(C,C)),f(f(f(C,f(C,C)),f(A,A)),f(f(A,A),D))))))
% -> f(A,A)
% Current number of equations to process: 1079
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [122]
% f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(B,A)),B)))
% -> f(B,A)
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [123]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(f(f(B,A),D),C),C),f(B,A)),A)),f(f(B,A),
% f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [124]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,B)),f(f(B,f(B,A)),A))) -> f(B,A)
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [125]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(B,C),C),f(B,A)),A)),f(f(B,A),f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [126]
% f(f(f(f(f(B,A),f(B,A)),f(C,C)),f(f(f(C,f(C,C)),f(B,A)),B)),f(f(B,A),f(B,A)))
% -> f(B,A)
% Current number of equations to process: 1208
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [127] f(f(B,B),f(B,f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,B),C))))) -> B
% Rule
% [82]
% f(f(B,f(A,A)),f(f(A,A),f(A,f(f(A,C),f(f(f(f(C,C),C),f(A,A)),f(f(A,A),D))))))
% -> f(A,A) collapsed.
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [128] f(f(B,B),f(B,f(f(B,f(A,A)),f(f(f(A,f(A,A)),f(B,B)),f(f(B,B),C))))) -> B
% Rule
% [121]
% f(f(B,f(A,A)),f(f(A,A),f(A,f(f(A,f(C,C)),f(f(f(C,f(C,C)),f(A,A)),f(f(A,A),D))))))
% -> f(A,A) collapsed.
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [129]
% f(B,f(f(B,B),f(f(f(B,B),f(f(B,A),f(B,A))),f(f(f(B,A),B),f(B,C))))) -> f(B,B)
% Rule
% [64]
% f(f(B,A),f(A,f(f(A,A),f(f(f(A,A),f(f(A,C),f(A,C))),f(f(f(A,C),A),f(A,D))))))
% -> A collapsed.
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [130]
% f(f(B,B),f(B,f(f(B,A),f(f(f(f(f(f(B,B),C),A),A),f(B,B)),f(f(B,B),D))))) -> B
% Current number of equations to process: 1301
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [131]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(C,C),C),f(B,A)),B)),f(f(B,A),f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1300
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [132]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(B,C),C),f(B,A)),B))) ->
% f(B,A)
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [133]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(f(f(B,A),D),C),C),f(B,A)),B)),f(f(B,A),
% f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [134]
% f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(f(f(A,A),A),f(f(f(A,A),A),
% f(A,D)))))) -> A
% Current number of equations to process: 1293
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [135]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),
% f(B,D)))))) -> B
% Current number of equations to process: 1293
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [136]
% f(f(B,A),f(f(f(A,A),f(B,B)),f(f(f(B,f(B,B)),A),f(f(f(A,A),A),f(f(f(A,A),A),
% f(A,C)))))) -> A
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [137]
% f(f(f(B,B),A),f(f(f(A,A),B),f(f(f(f(B,B),B),A),f(f(f(A,A),A),f(f(f(A,A),A),
% f(A,C)))))) -> A
% Current number of equations to process: 1289
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [138]
% f(f(B,B),f(B,f(f(f(f(f(B,f(A,f(B,B))),f(B,f(f(B,B),C))),f(B,f(f(B,B),C))),B),
% f(B,D)))) -> B
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [139]
% f(f(B,B),f(B,f(f(f(f(f(B,f(f(B,B),A)),f(B,f(f(B,B),C))),f(B,f(f(B,B),C))),B),
% f(B,D)))) -> B
% Current number of equations to process: 1286
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [140]
% f(f(f(B,B),f(f(f(f(B,B),B),f(f(B,B),B)),B)),f(f(f(B,B),B),f(f(B,B),B))) ->
% f(f(f(f(B,B),B),f(f(B,B),B)),B)
% Current number of equations to process: 1285
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [141]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),C),f(f(f(f(B,C),C),f(A,B)),A))) ->
% f(A,B)
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [142]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),C),f(f(f(f(B,C),C),f(A,B)),f(D,
% f(A,B)))))
% -> f(A,B)
% Current number of equations to process: 1405
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [143]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(A,C),C),f(B,A)),f(f(B,A),D))),f(f(B,A),
% f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [144]
% f(f(B,f(A,A)),f(f(A,f(f(f(A,A),B),f(f(A,A),B))),f(f(f(f(A,A),B),f(A,A)),
% f(f(A,A),C)))) -> f(A,A)
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [145]
% f(f(f(f(B,f(B,B)),f(B,f(B,B))),f(B,B)),f(f(f(B,f(B,B)),f(B,f(B,B))),f(B,B)))
% -> f(f(B,f(B,B)),f(B,f(B,B)))
% Current number of equations to process: 1400
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [146]
% f(f(f(B,A),f(B,A)),f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(f(f(B,A),f(B,A)),C))),
% f(B,A)),A))) -> f(B,A)
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [147]
% f(B,f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(f(B,C),f(f(f(f(B,C),C),f(B,B)),
% f(f(B,B),D)))))) -> f(B,B)
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [148]
% f(f(B,A),f(f(f(B,A),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(A,C),C),f(B,A)),A))))
% -> f(f(B,A),f(B,A))
% Current number of equations to process: 1396
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [149]
% f(f(B,A),f(f(f(B,A),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(C,C),C),f(B,A)),A))))
% -> f(f(B,A),f(B,A))
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [150]
% f(f(B,A),f(f(f(B,A),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(B,C),C),f(B,A)),A))))
% -> f(f(B,A),f(B,A))
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [151]
% f(f(B,A),f(f(f(B,A),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(C,C),C),f(B,A)),B))))
% -> f(f(B,A),f(B,A))
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [152]
% f(f(f(B,A),f(B,A)),f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(f(f(B,A),f(B,A)),C))),
% f(B,A)),B))) -> f(B,A)
% Current number of equations to process: 1392
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [153] f(f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,B),A))),B) -> f(B,B)
% Current number of equations to process: 1482
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [154] f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(A,f(B,B))))) -> f(B,B)
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [155]
% f(f(B,B),f(B,f(f(f(B,f(f(f(B,B),B),f(f(f(B,B),B),f(A,B)))),B),f(B,C)))) -> B
% Current number of equations to process: 1526
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [156]
% f(f(B,B),f(B,f(f(f(B,f(f(f(B,B),B),f(f(f(B,B),B),f(B,A)))),B),f(C,B)))) -> B
% Current number of equations to process: 1526
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [157]
% f(B,f(f(B,A),f(f(f(f(f(f(B,B),f(B,C)),A),A),f(B,B)),f(D,f(B,B))))) -> f(B,B)
% Current number of equations to process: 1580
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [158]
% f(f(f(f(B,B),A),f(f(f(f(f(B,B),A),f(f(f(B,B),A),f(f(B,B),A))),B),f(B,C))),
% f(B,B)) -> B
% Current number of equations to process: 1671
% Current number of ordered equations: 2
% Current number of rules: 125
% New rule produced :
% [159]
% f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,B),A),f(f(f(B,B),A),f(f(B,B),A))),B),
% f(C,B)))) -> B
% Current number of equations to process: 1671
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [160]
% f(f(B,B),f(f(A,f(B,B)),f(f(f(f(A,f(B,B)),f(f(A,f(B,B)),f(A,f(B,B)))),B),
% f(B,C)))) -> B
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [161]
% f(B,f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,B),C))))))
% -> f(B,B)
% Current number of equations to process: 1670
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [162]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(B,C))))))
% -> B
% Current number of equations to process: 1716
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [163]
% f(f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),A)),f(f(B,A),
% f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [164]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),B),f(B,A))))))
% -> B
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [165]
% f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,B),A))))))
% -> f(B,B)
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [166]
% f(B,f(f(A,B),f(f(f(f(A,B),f(f(A,B),f(A,B))),f(B,B)),f(C,f(B,B))))) -> f(B,B)
% Current number of equations to process: 1763
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [167]
% f(f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(B,A))),f(A,A)),f(f(A,A),C))),A) -> f(A,A)
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [168]
% f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,B),C))))))
% -> f(B,B)
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [169]
% f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(f(B,B),C))))))
% -> f(B,B)
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [170]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),
% f(B,C)))))) -> B
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [171]
% f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,f(A,A)),f(f(f(A,f(A,A)),f(B,B)),
% f(f(B,B),C)))))) -> f(B,B)
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [172]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),C),f(f(f(f(B,C),C),f(B,A)),f(D,
% f(B,A)))))
% -> f(B,A)
% Current number of equations to process: 1834
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [173]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(B,C),C),f(B,A)),f(f(B,A),D))),f(f(B,A),
% f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [174]
% f(f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),B)),f(f(B,A),
% f(B,A))) ->
% f(B,A)
% Current number of equations to process: 1923
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [175]
% f(f(f(f(f(B,A),f(B,A)),f(A,A)),f(f(A,f(B,A)),A)),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 1957
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [176] f(f(f(f(B,B),B),f(f(B,B),B)),B) -> f(f(B,B),B)
% Rule
% [72]
% f(f(f(f(f(B,B),B),f(f(B,B),B)),B),f(f(f(f(B,B),B),f(f(B,B),B)),B)) ->
% f(f(f(B,B),B),f(f(B,B),B)) collapsed.
% Rule
% [140]
% f(f(f(B,B),f(f(f(f(B,B),B),f(f(B,B),B)),B)),f(f(f(B,B),B),f(f(B,B),B))) ->
% f(f(f(f(B,B),B),f(f(B,B),B)),B) collapsed.
% Current number of equations to process: 2030
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [177] f(B,f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(C,B),A),A),B),f(B,D))))) -> f(B,B)
% Current number of equations to process: 2035
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [178] f(B,f(f(B,B),f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),f(D,B))))) -> f(B,B)
% Current number of equations to process: 2035
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [179] f(f(f(B,f(B,B)),f(B,f(f(B,B),A))),B) -> f(B,B)
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [180] f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(A,f(B,B))))) -> f(B,B)
% Current number of equations to process: 2113
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [181] f(f(B,f(B,B)),f(B,f(f(B,B),A))) -> B
% Rule [74] f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(f(B,B),A)))) -> f(B,B) collapsed.
% Rule [179] f(f(f(B,f(B,B)),f(B,f(f(B,B),A))),B) -> f(B,B) collapsed.
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [182]
% f(B,f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(B,A))),f(B,B)),f(C,f(B,B))))) -> f(B,B)
% Current number of equations to process: 2137
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [183]
% f(f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(B,A))),f(B,B)),f(f(B,B),C))),B) -> f(B,B)
% Current number of equations to process: 2137
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [184]
% f(f(B,A),f(A,f(f(f(A,f(A,A)),f(f(B,A),f(B,A))),f(C,f(f(B,A),f(B,A)))))) ->
% f(f(B,A),f(B,A))
% Current number of equations to process: 2186
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [185]
% f(f(B,f(f(f(B,f(B,B)),f(f(A,B),f(A,B))),f(f(f(A,B),f(A,B)),C))),f(A,B)) ->
% f(f(A,B),f(A,B))
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [186]
% f(f(B,A),f(f(f(B,A),f(B,A)),f(f(f(f(B,A),f(B,A)),f(A,A)),f(f(A,f(B,A)),A))))
% -> f(f(B,A),f(B,A))
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [187] f(f(B,B),f(f(B,f(f(f(B,B),B),f(f(f(B,B),B),f(B,A)))),B)) -> B
% Current number of equations to process: 2242
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [188]
% f(f(B,A),f(B,f(f(f(B,f(B,B)),f(f(B,A),f(B,A))),f(C,f(f(B,A),f(B,A)))))) ->
% f(f(B,A),f(B,A))
% Current number of equations to process: 2260
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [189]
% f(f(B,f(f(f(B,f(B,B)),f(f(B,A),f(B,A))),f(f(f(B,A),f(B,A)),C))),f(B,A)) ->
% f(f(B,A),f(B,A))
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [190] f(B,f(f(B,B),f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(C,B))))) -> f(B,B)
% Current number of equations to process: 2306
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [191] f(f(f(B,B),B),f(f(B,B),f(A,B))) -> f(B,B)
% Current number of equations to process: 2359
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [192] f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(B,A)),B)) -> f(f(B,A),f(B,A))
% Rule
% [122]
% f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(B,A)),B)))
% -> f(B,A) collapsed.
% Current number of equations to process: 2362
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [193] f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(B,A)),A)) -> f(f(B,A),f(B,A))
% Rule
% [120]
% f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(B,A)),A)))
% -> f(B,A) collapsed.
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [194] f(B,f(f(B,B),f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(C,B))))) -> f(B,B)
% Current number of equations to process: 2417
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [195] f(f(B,B),f(B,f(f(f(B,f(B,f(A,f(B,B)))),B),f(B,C)))) -> B
% Current number of equations to process: 2495
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [196] f(f(B,B),f(B,f(f(f(B,f(B,f(f(B,B),A))),B),f(C,B)))) -> B
% Current number of equations to process: 2495
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [197] f(f(B,B),f(f(B,f(B,f(f(B,B),A))),B)) -> B
% Current number of equations to process: 2518
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [198] f(f(f(f(B,B),B),f(f(f(B,B),B),f(A,B))),f(B,B)) -> B
% Current number of equations to process: 2518
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [199] f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(C,B))),f(B,B)) -> B
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [200]
% f(B,f(f(B,B),f(f(f(f(B,B),f(f(B,B),f(A,B))),f(B,B)),f(f(B,B),C)))) -> f(B,B)
% Current number of equations to process: 2722
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [201] f(f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(C,f(B,B)))),B) -> f(B,B)
% Current number of equations to process: 2788
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [202] f(f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(C,f(B,B)))),B) -> f(B,B)
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [203]
% f(B,f(f(B,B),f(f(f(f(B,B),f(f(B,B),f(B,A))),f(B,B)),f(C,f(B,B))))) -> f(B,B)
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [204]
% f(B,f(f(B,B),f(f(f(f(B,B),f(f(B,B),f(A,B))),f(B,B)),f(C,f(B,B))))) -> f(B,B)
% Current number of equations to process: 2961
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [205]
% f(f(f(f(B,A),f(B,A)),B),f(f(f(B,B),C),f(f(f(f(f(B,A),C),C),B),f(D,B)))) -> B
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [206] f(f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),f(D,B))),f(B,B)) -> B
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [207] f(f(B,B),f(B,f(f(f(B,f(B,f(A,f(B,B)))),B),f(C,B)))) -> B
% Current number of equations to process: 3254
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [208] f(f(f(f(B,B),A),f(f(f(f(f(C,B),A),A),B),f(B,D))),f(B,B)) -> B
% Current number of equations to process: 3276
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [209]
% f(f(f(f(B,A),f(B,A)),A),f(f(f(A,A),C),f(f(f(f(f(B,A),C),C),A),f(D,A)))) -> A
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [210]
% f(f(B,B),f(B,f(f(f(B,f(f(f(B,B),B),f(f(f(B,B),B),f(A,B)))),B),f(C,B)))) -> B
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [211] f(f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(C,B))),f(B,B)) -> B
% Current number of equations to process: 3367
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [212]
% f(f(B,B),f(B,f(f(f(B,f(B,f(f(f(B,f(B,f(f(B,B),A))),B),f(B,C)))),B),f(B,D))))
% -> B
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [213]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),B),f(A,B))))))
% -> B
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [214]
% f(f(B,A),f(A,f(f(f(f(f(A,B),f(A,f(C,f(A,A)))),f(A,f(C,f(A,A)))),A),f(A,D))))
% -> A
% Current number of equations to process: 3754
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [215]
% f(f(B,A),f(A,f(f(f(f(f(A,B),f(A,f(f(A,A),C))),f(A,f(f(A,A),C))),A),f(D,A))))
% -> A
% Current number of equations to process: 3753
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [216]
% f(f(B,B),f(B,f(f(f(B,f(B,f(f(f(B,f(B,f(f(B,B),A))),B),f(B,C)))),B),f(D,B))))
% -> B
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [217]
% f(f(B,A),f(A,f(f(f(f(f(A,B),f(A,f(C,f(A,A)))),f(A,f(C,f(A,A)))),A),f(D,A))))
% -> A
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [218] f(f(f(B,f(A,A)),f(f(f(A,f(A,A)),f(B,B)),f(C,f(B,B)))),B) -> f(B,B)
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [219] f(f(f(B,A),f(f(f(f(f(C,f(B,B)),A),A),f(B,B)),f(f(B,B),D))),B) -> f(B,B)
% Current number of equations to process: 3827
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [220] f(f(f(B,A),f(f(f(f(f(f(B,B),C),A),A),f(B,B)),f(D,f(B,B)))),B) -> f(B,B)
% Current number of equations to process: 3827
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [221]
% f(f(f(B,f(f(f(B,B),A),f(f(B,B),A))),f(f(f(f(B,B),A),f(B,B)),f(f(B,B),C))),B)
% -> f(B,B)
% Current number of equations to process: 3969
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [222]
% f(f(f(B,f(A,A)),f(f(f(f(B,f(A,A)),f(f(B,f(A,A)),f(B,f(A,A)))),A),f(A,C))),
% f(A,A)) -> A
% Current number of equations to process: 4239
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [223]
% f(f(B,B),f(f(A,f(B,B)),f(f(f(f(A,f(B,B)),f(f(A,f(B,B)),f(A,f(B,B)))),B),
% f(C,B)))) -> B
% Current number of equations to process: 4238
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [224]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(C,B))))))
% -> B
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [225] f(f(B,B),f(B,f(f(B,f(A,A)),f(f(f(A,f(A,A)),f(B,B)),f(C,f(B,B)))))) -> B
% Current number of equations to process: 4540
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [226] f(f(B,B),f(B,f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(C,f(B,B)))))) -> B
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [227]
% f(f(f(f(B,A),f(B,A)),A),f(f(f(A,A),f(B,B)),f(f(f(B,f(B,B)),A),f(A,C)))) -> A
% Current number of equations to process: 4747
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [228]
% f(f(f(f(f(B,B),A),f(f(B,B),A)),A),f(f(f(A,A),B),f(f(f(f(B,B),B),A),f(A,C))))
% -> A
% Current number of equations to process: 4806
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [229] f(f(f(B,B),B),f(f(f(B,B),f(f(B,B),f(B,A))),f(f(B,B),f(B,C)))) -> B
% Current number of equations to process: 4855
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [230]
% f(f(f(f(B,A),f(B,A)),B),f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(B,C)))) -> B
% Current number of equations to process: 4961
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [231]
% f(f(f(f(B,f(A,A)),f(B,f(A,A))),B),f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(B,C))))
% -> B
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [232]
% f(f(f(B,B),f(f(B,B),f(B,A))),f(f(f(f(f(B,B),f(B,A)),f(f(B,B),f(B,A))),B),B))
% -> f(f(B,B),f(B,A))
% Current number of equations to process: 2106
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [233]
% f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(C,f(B,B)))))))
% -> f(B,B)
% Current number of equations to process: 2105
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [234]
% f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(C,f(B,B)))))))
% -> f(B,B)
% Current number of equations to process: 2104
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [235]
% f(f(B,B),f(B,f(f(B,A),f(f(f(f(f(f(B,B),C),A),A),f(B,B)),f(D,f(B,B)))))) -> B
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [236]
% f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(f(f(B,B),B),f(f(f(B,B),B),f(B,C))))),
% f(B,B)) -> B
% Current number of equations to process: 2603
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [237]
% f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(f(f(B,B),B),f(f(f(B,B),B),f(C,B))))),
% f(B,B)) -> B
% Current number of equations to process: 2602
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [238]
% f(f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,B),C))))),B)
% -> f(B,B)
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [239] f(f(B,A),f(f(f(f(A,B),f(A,f(f(A,A),C))),f(A,f(f(A,A),C))),A)) -> A
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [240] f(f(f(B,f(B,B)),f(f(B,B),f(B,A))),f(B,B)) -> B
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [241] f(f(f(B,B),B),f(f(B,f(B,B)),f(f(B,B),f(A,B)))) -> B
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [242] f(f(B,f(B,B)),f(f(B,B),f(B,A))) -> f(B,B)
% Rule [111] f(f(f(B,B),B),f(f(B,f(B,B)),f(f(B,B),f(B,A)))) -> B collapsed.
% Rule [240] f(f(f(B,f(B,B)),f(f(B,B),f(B,A))),f(B,B)) -> B collapsed.
% Current number of equations to process: 2818
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [243] f(f(f(f(B,B),B),f(B,f(f(B,B),A))),B) -> f(B,B)
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [244] f(f(B,f(B,B)),f(f(f(B,B),B),f(B,f(A,f(B,B))))) -> f(B,B)
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [245] f(f(f(B,B),B),f(B,f(f(B,B),A))) -> B
% Rule [112] f(f(B,f(B,B)),f(f(f(B,B),B),f(B,f(f(B,B),A)))) -> f(B,B)
% collapsed.
% Rule [243] f(f(f(f(B,B),B),f(B,f(f(B,B),A))),B) -> f(B,B) collapsed.
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [246] f(f(f(f(B,B),f(f(B,A),f(B,A))),f(f(f(B,A),B),f(C,B))),f(B,B)) -> B
% Current number of equations to process: 2851
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [247] f(f(f(f(B,B),f(f(A,B),f(A,B))),f(f(f(A,B),B),f(B,C))),f(B,B)) -> B
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [248]
% f(f(f(f(B,A),f(B,A)),A),f(f(f(A,A),f(f(B,A),f(B,A))),f(f(f(B,A),A),f(C,A))))
% -> A
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [249]
% f(f(f(f(B,A),f(B,A)),B),f(f(f(B,B),f(f(B,A),f(B,A))),f(f(f(B,A),B),f(C,B))))
% -> B
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [250]
% f(B,f(f(B,B),f(f(f(B,B),f(f(B,A),f(B,A))),f(f(f(B,A),B),f(C,B))))) -> f(B,B)
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [251]
% f(f(f(f(f(B,A),f(B,A)),f(A,A)),f(f(A,f(B,A)),f(f(B,A),C))),f(f(B,A),f(B,A)))
% -> f(B,A)
% Current number of equations to process: 3241
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [252]
% f(f(f(f(f(B,A),f(B,A)),f(B,B)),f(f(B,f(B,A)),f(f(B,A),C))),f(f(B,A),f(B,A)))
% -> f(B,A)
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [253]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),f(B,B)),f(f(B,f(A,B)),f(C,f(A,B)))))
% -> f(A,B)
% Current number of equations to process: 3238
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [254]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,B)),f(f(B,f(B,A)),f(C,f(B,A)))))
% -> f(B,A)
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [255]
% f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(f(B,A),f(B,A))),f(f(f(B,A),f(B,A)),A)))
% -> f(B,A)
% Current number of equations to process: 3232
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [256]
% f(f(f(f(B,A),f(B,A)),f(B,A)),f(f(f(B,A),f(f(B,A),f(B,A))),f(f(f(B,A),f(B,A)),B)))
% -> f(B,A)
% Current number of equations to process: 3231
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [257]
% f(B,f(f(B,B),f(f(f(B,B),f(f(A,B),f(A,B))),f(f(f(A,B),B),f(B,C))))) -> f(B,B)
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [258]
% f(f(B,f(f(B,B),B)),f(f(f(B,B),B),f(f(f(B,B),f(f(B,B),B)),f(f(f(B,B),B),A))))
% -> f(f(B,B),B)
% Current number of equations to process: 3538
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [259]
% f(f(B,A),f(f(f(A,A),C),f(f(f(f(f(A,B),C),C),A),f(f(f(A,A),A),f(f(f(A,A),A),
% f(D,A)))))) -> A
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [260]
% f(f(B,A),f(f(f(A,A),f(B,B)),f(f(f(B,f(B,B)),A),f(f(f(A,A),A),f(f(f(A,A),A),
% f(C,A)))))) -> A
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [261]
% f(f(f(B,B),A),f(f(f(A,A),B),f(f(f(f(B,B),B),A),f(f(f(A,A),A),f(f(f(A,A),A),
% f(C,A)))))) -> A
% Current number of equations to process: 3535
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [262]
% f(f(B,B),f(B,f(f(f(f(f(B,f(A,f(B,B))),f(B,f(C,f(B,B)))),f(B,f(C,f(B,B)))),B),
% f(B,D)))) -> B
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [263]
% f(f(B,B),f(B,f(f(f(f(f(B,f(f(B,B),A)),f(B,f(C,f(B,B)))),f(B,f(C,f(B,B)))),B),
% f(B,D)))) -> B
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [264]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),A),f(f(f(f(f(B,C),A),A),B),
% f(D,B)))))) -> B
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [265]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),
% f(C,B)))))) -> B
% Current number of equations to process: 3531
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [266]
% f(f(B,B),f(B,f(f(f(f(f(B,f(A,f(B,B))),f(B,f(f(B,B),C))),f(B,f(f(B,B),C))),B),
% f(D,B)))) -> B
% Current number of equations to process: 3530
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [267]
% f(f(B,B),f(B,f(f(f(f(f(B,f(A,f(B,B))),f(B,f(C,f(B,B)))),f(B,f(C,f(B,B)))),B),
% f(D,B)))) -> B
% Current number of equations to process: 3529
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [268]
% f(f(B,B),f(B,f(f(f(f(f(B,f(f(B,B),A)),f(B,f(f(B,B),C))),f(B,f(f(B,B),C))),B),
% f(D,B)))) -> B
% Current number of equations to process: 3528
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [269]
% f(f(B,B),f(B,f(f(f(f(f(B,f(f(B,B),A)),f(B,f(C,f(B,B)))),f(B,f(C,f(B,B)))),B),
% f(D,B)))) -> B
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [270]
% f(f(B,B),f(f(f(B,B),B),f(f(f(B,B),B),f(f(f(B,B),A),f(f(f(f(f(C,B),A),A),B),
% f(B,D)))))) -> B
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [271]
% f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(f(f(B,B),C),f(f(f(f(C,C),C),B),f(B,D))))),
% f(B,B)) -> B
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [272]
% f(f(f(f(B,B),A),f(f(f(f(A,A),A),B),f(f(f(B,B),C),f(f(f(f(C,C),C),B),f(D,B))))),
% f(B,B)) -> B
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [273] f(f(f(B,f(B,B)),f(B,f(B,B))),f(B,B)) -> f(B,f(B,B))
% Rule
% [145]
% f(f(f(f(B,f(B,B)),f(B,f(B,B))),f(B,B)),f(f(f(B,f(B,B)),f(B,f(B,B))),f(B,B)))
% -> f(f(B,f(B,B)),f(B,f(B,B))) collapsed.
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [274]
% f(f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(f(f(B,B),B),f(f(f(B,B),B),f(B,C))))),
% f(B,B)) -> B
% Current number of equations to process: 3662
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [275]
% f(f(f(f(B,B),f(A,A)),f(f(f(A,f(A,A)),B),f(f(f(B,B),B),f(f(f(B,B),B),f(C,B))))),
% f(B,B)) -> B
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [276]
% f(f(f(B,B),f(A,B)),f(f(f(f(A,B),f(A,B)),f(B,B)),f(f(B,f(A,B)),A))) -> f(A,B)
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [277] f(f(f(B,B),f(f(B,B),B)),f(B,B)) -> f(f(B,B),B)
% Current number of equations to process: 3738
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [278]
% f(f(f(B,B),f(B,A)),f(f(f(f(B,A),f(B,A)),f(B,B)),f(f(B,f(B,A)),B))) -> f(B,A)
% Current number of equations to process: 3826
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [279]
% f(f(f(f(f(B,A),f(B,A)),C),f(f(f(f(f(D,f(B,A)),C),C),f(B,A)),A)),f(f(B,A),
% f(B,A))) ->
% f(B,A)
% Current number of equations to process: 3944
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [280]
% f(f(f(B,A),f(B,A)),f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(C,f(f(B,A),f(B,A))))),
% f(B,A)),A))) -> f(B,A)
% Current number of equations to process: 3941
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [281]
% f(f(f(B,A),f(B,A)),f(f(B,A),f(f(f(f(B,A),f(f(B,A),f(C,f(f(B,A),f(B,A))))),
% f(B,A)),B))) -> f(B,A)
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [282]
% f(B,f(f(B,A),f(f(f(f(B,A),A),f(B,B)),f(f(B,C),f(f(f(f(B,C),C),f(B,B)),
% f(D,f(B,B))))))) -> f(B,B)
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [283]
% f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(f(B,f(A,A)),f(f(f(A,f(A,A)),f(B,B)),
% f(C,f(B,B))))))) -> f(B,B)
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [284]
% f(f(B,f(A,A)),f(f(A,f(f(f(A,A),B),f(f(A,A),B))),f(f(f(f(A,A),B),f(A,A)),
% f(C,f(A,A))))) -> f(A,A)
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [285]
% f(f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,C),f(f(f(f(C,C),C),f(B,B)),f(
% f(B,B),D))))),B)
% -> f(B,B)
% Current number of equations to process: 3936
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [286]
% f(f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,C),f(f(f(f(B,C),C),f(B,B)),f(
% f(B,B),D))))),B)
% -> f(B,B)
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [287]
% f(f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,C),f(f(f(f(B,C),C),f(B,B)),f(D,
% f(B,B)))))),B)
% -> f(B,B)
% Current number of equations to process: 3934
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [288]
% f(f(f(B,A),f(f(f(f(A,A),A),f(B,B)),f(f(B,C),f(f(f(f(C,C),C),f(B,B)),f(D,
% f(B,B)))))),B)
% -> f(B,B)
% Current number of equations to process: 3933
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [289]
% f(f(f(B,f(A,A)),f(f(f(A,f(A,A)),f(B,B)),f(f(B,f(B,B)),f(f(B,f(B,B)),f(
% f(B,B),C))))),B)
% -> f(B,B)
% Current number of equations to process: 3930
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [290]
% f(f(f(f(f(B,A),f(B,A)),f(B,B)),f(f(B,f(B,A)),A)),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to processCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------