TSTP Solution File: GRP697-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP697-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n133.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 00:24:03 EDT 2014

% Result   : Timeout 300.02s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP697-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n133.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 : Sat Jun  7 01:08:33 CDT 2014
% % CPUTime  : 300.02 
% Processing problem /tmp/CiME_42620_n133.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,unit : constant;  i : 1;  rd : 2;  mult : 2;  ld : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% mult(rd(A,B),B) = A;
% rd(mult(A,B),B) = A;
% mult(A,unit) = A;
% mult(unit,A) = A;
% mult(A,i(mult(B,A))) = i(B);
% mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C));
% mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C)));
% mult(i(A),A) = unit;
% mult(A,i(A)) = unit;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% i lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% ld > mult > rd > i > unit > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% i mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% ld > mult > rd > i > unit = 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 " mult(mult(a,b),mult(b,mult(c,b))) = mult(mult(a,mult(b,mult(b,c))),b);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,unit) = A,
% mult(unit,A) = A,
% mult(A,i(mult(B,A))) = i(B),
% mult(A,mult(B,C)) =
% mult(rd(mult(A,B),A),mult(A,C)),
% mult(mult(A,B),C) =
% mult(mult(A,C),ld(C,mult(B,C))),
% mult(i(A),A) = unit,
% mult(A,i(A)) = unit } (11 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 = { mult(mult(a,b),mult(b,mult(c,b))) =
% mult(mult(a,mult(b,mult(b,c))),b) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] mult(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 1
% New rule produced : [2] mult(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 2
% New rule produced : [3] mult(A,i(A)) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 3
% New rule produced : [4] mult(i(A),A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 4
% New rule produced : [5] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 5
% New rule produced : [6] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 6
% New rule produced : [7] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 7
% New rule produced : [8] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 8
% New rule produced : [9] mult(A,i(mult(B,A))) -> i(B)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 9
% New rule produced :
% [10] mult(mult(A,B),C) <-> mult(mult(A,C),ld(C,mult(B,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 24
% Current number of rules: 10
% New rule produced : [11] mult(rd(mult(A,B),A),mult(A,C)) -> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 23
% Current number of rules: 11
% New rule produced :
% [12] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 22
% Current number of rules: 12
% New rule produced : [13] i(unit) -> unit
% Current number of equations to process: 1
% Current number of ordered equations: 17
% Current number of rules: 13
% New rule produced : [14] rd(A,unit) -> A
% Current number of equations to process: 1
% Current number of ordered equations: 15
% Current number of rules: 14
% New rule produced : [15] rd(A,A) -> unit
% Current number of equations to process: 1
% Current number of ordered equations: 14
% Current number of rules: 15
% New rule produced : [16] ld(unit,A) -> A
% Current number of equations to process: 1
% Current number of ordered equations: 12
% Current number of rules: 16
% New rule produced : [17] ld(A,A) -> unit
% Current number of equations to process: 1
% Current number of ordered equations: 11
% Current number of rules: 17
% New rule produced : [18] rd(unit,A) -> i(A)
% Current number of equations to process: 2
% Current number of ordered equations: 9
% Current number of rules: 18
% New rule produced : [19] ld(A,unit) -> i(A)
% Current number of equations to process: 3
% Current number of ordered equations: 7
% Current number of rules: 19
% New rule produced : [20] i(i(A)) -> A
% Current number of equations to process: 3
% Current number of ordered equations: 6
% Current number of rules: 20
% New rule produced : [21] rd(A,ld(B,A)) -> B
% Current number of equations to process: 2
% Current number of ordered equations: 5
% Current number of rules: 21
% New rule produced : [22] ld(rd(A,B),A) -> B
% Current number of equations to process: 2
% Current number of ordered equations: 4
% Current number of rules: 22
% New rule produced : [23] mult(A,i(B)) -> i(rd(B,A))
% Rule [3] mult(A,i(A)) -> unit collapsed.
% Rule [9] mult(A,i(mult(B,A))) -> i(B) collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [24] mult(i(mult(A,B)),A) -> i(B)
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [25] mult(i(A),mult(A,B)) -> mult(A,mult(i(A),B))
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [26] mult(i(A),mult(B,A)) -> rd(mult(i(A),B),i(A))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [27] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C))
% Current number of equations to process: 8
% Current number of ordered equations: 2
% Current number of rules: 25
% New rule produced : [28] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C)
% Current number of equations to process: 8
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [29] mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,ld(A,C)))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 27
% Rule [10] mult(mult(A,B),C) <-> mult(mult(A,C),ld(C,mult(B,C))) is composed into 
% [10] mult(mult(A,B),C) <-> mult(mult(A,C),mult(mult(i(C),B),C))
% New rule produced : [30] ld(A,mult(B,A)) -> mult(mult(i(A),B),A)
% Rule [12] mult(mult(A,C),ld(C,mult(B,C))) <-> mult(mult(A,B),C) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [31] ld(A,i(rd(B,A))) -> i(B)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [32] rd(i(rd(A,B)),i(A)) -> B
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [33] i(rd(B,rd(A,i(B)))) -> A
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [34] mult(A,B) -> i(rd(i(B),A))
% Rule [1] mult(A,unit) -> A collapsed.
% Rule [2] mult(unit,A) -> A collapsed.
% Rule [4] mult(i(A),A) -> unit collapsed.
% Rule [5] rd(mult(A,B),B) -> A collapsed.
% Rule [6] mult(A,ld(A,B)) -> B collapsed.
% Rule [7] mult(rd(A,B),B) -> A collapsed.
% Rule [8] ld(A,mult(A,B)) -> B collapsed.
% Rule [10] mult(mult(A,B),C) <-> mult(mult(A,C),mult(mult(i(C),B),C))
% collapsed.
% Rule [11] mult(rd(mult(A,B),A),mult(A,C)) -> mult(A,mult(B,C)) collapsed.
% Rule [23] mult(A,i(B)) -> i(rd(B,A)) collapsed.
% Rule [24] mult(i(mult(A,B)),A) -> i(B) collapsed.
% Rule [25] mult(i(A),mult(A,B)) -> mult(A,mult(i(A),B)) collapsed.
% Rule [26] mult(i(A),mult(B,A)) -> rd(mult(i(A),B),i(A)) collapsed.
% Rule [27] mult(B,mult(ld(B,A),C)) -> mult(rd(A,B),mult(B,C)) collapsed.
% Rule [28] mult(A,mult(B,ld(A,C))) <-> mult(rd(mult(A,B),A),C) collapsed.
% Rule [29] mult(rd(mult(A,B),A),C) <-> mult(A,mult(B,ld(A,C))) collapsed.
% Rule [30] ld(A,mult(B,A)) -> mult(mult(i(A),B),A) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% i(rd(rd(rd(i(b),c),b),i(rd(i(b),a)))) = i(rd(i(b),i(rd(rd(rd(i(c),b),b),a))))
% 
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [35] i(rd(i(B),rd(A,B))) -> A
% Current number of equations to process: 30
% Current number of ordered equations: 5
% Current number of rules: 15
% New rule produced : [36] i(rd(i(ld(A,B)),A)) -> B
% Current number of equations to process: 30
% Current number of ordered equations: 4
% Current number of rules: 16
% New rule produced : [37] rd(i(rd(i(B),A)),B) -> A
% Current number of equations to process: 30
% Current number of ordered equations: 3
% Current number of rules: 17
% New rule produced :
% [38] i(rd(rd(i(C),A),rd(i(rd(i(B),A)),A))) <-> i(rd(rd(i(C),B),A))
% Current number of equations to process: 4
% Current number of ordered equations: 57
% Current number of rules: 18
% New rule produced :
% [39] i(rd(rd(i(C),B),A)) <-> i(rd(rd(i(C),A),rd(i(rd(i(B),A)),A)))
% Current number of equations to process: 4
% Current number of ordered equations: 56
% Current number of rules: 19
% New rule produced :
% [40]
% i(rd(rd(i(C),i(rd(i(B),i(C)))),i(rd(i(C),A)))) -> i(rd(i(C),i(rd(i(B),A))))
% Current number of equations to process: 4
% Current number of ordered equations: 55
% Current number of rules: 20
% New rule produced : [41] ld(A,i(B)) -> rd(i(A),B)
% Rule [31] ld(A,i(rd(B,A))) -> i(B) collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 37
% Current number of rules: 20
% New rule produced : [42] ld(A,B) -> rd(i(A),i(B))
% Rule [16] ld(unit,A) -> A collapsed.
% Rule [17] ld(A,A) -> unit collapsed.
% Rule [19] ld(A,unit) -> i(A) collapsed.
% Rule [21] rd(A,ld(B,A)) -> B collapsed.
% Rule [22] ld(rd(A,B),A) -> B collapsed.
% Rule [36] i(rd(i(ld(A,B)),A)) -> B collapsed.
% Rule [41] ld(A,i(B)) -> rd(i(A),B) collapsed.
% Current number of equations to process: 25
% Current number of ordered equations: 26
% Current number of rules: 14
% New rule produced : [43] rd(i(A),rd(B,A)) -> i(B)
% Rule [35] i(rd(i(B),rd(A,B))) -> A collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 18
% Current number of rules: 14
% New rule produced : [44] rd(B,rd(A,i(B))) -> i(A)
% Rule [33] i(rd(B,rd(A,i(B)))) -> A collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 14
% Current number of rules: 14
% New rule produced : [45] i(rd(i(A),i(rd(A,B)))) -> i(rd(A,i(rd(i(A),B))))
% Current number of equations to process: 23
% Current number of ordered equations: 13
% Current number of rules: 15
% New rule produced :
% [46] i(rd(i(B),i(rd(i(C),rd(A,B))))) <-> i(rd(i(rd(i(B),rd(i(B),C))),A))
% Current number of equations to process: 20
% Current number of ordered equations: 16
% Current number of rules: 16
% New rule produced :
% [47]
% i(rd(i(B),i(rd(i(rd(C,B)),A)))) <-> i(rd(i(rd(i(B),i(C))),i(rd(i(B),A))))
% Current number of equations to process: 20
% Current number of ordered equations: 15
% Current number of rules: 17
% New rule produced :
% [48] i(rd(i(rd(i(B),rd(i(B),C))),A)) <-> i(rd(i(B),i(rd(i(C),rd(A,B)))))
% Current number of equations to process: 20
% Current number of ordered equations: 14
% Current number of rules: 18
% New rule produced :
% [49]
% i(rd(i(rd(i(B),i(C))),i(rd(i(B),A)))) <-> i(rd(i(B),i(rd(i(rd(C,B)),A))))
% Current number of equations to process: 20
% Current number of ordered equations: 13
% Current number of rules: 19
% New rule produced :
% [50] rd(i(rd(rd(i(C),B),A)),i(rd(i(C),A))) -> rd(i(rd(i(B),A)),A)
% Current number of equations to process: 22
% Current number of ordered equations: 12
% Current number of rules: 20
% New rule produced :
% [51] rd(rd(i(B),A),rd(i(B),i(rd(i(C),A)))) -> rd(i(B),rd(i(B),C))
% Current number of equations to process: 21
% Current number of ordered equations: 12
% Current number of rules: 21
% New rule produced : [52] i(rd(rd(i(A),i(B)),B)) -> i(rd(rd(i(A),B),i(B)))
% Current number of equations to process: 23
% Current number of ordered equations: 11
% Current number of rules: 22
% New rule produced :
% [53] rd(i(rd(i(rd(i(B),rd(i(B),C))),i(rd(i(B),A)))),B) -> i(rd(i(C),A))
% Current number of equations to process: 22
% Current number of ordered equations: 11
% Current number of rules: 23
% New rule produced :
% [54] i(rd(i(rd(i(B),rd(i(B),C))),i(rd(i(B),rd(A,C))))) -> i(rd(i(B),A))
% Current number of equations to process: 21
% Current number of ordered equations: 11
% Current number of rules: 24
% New rule produced :
% [55] rd(i(rd(i(rd(i(B),A)),A)),rd(rd(i(C),B),A)) -> i(rd(i(C),A))
% Current number of equations to process: 20
% Current number of ordered equations: 11
% Current number of rules: 25
% New rule produced :
% [56] rd(i(rd(i(C),i(rd(i(B),A)))),rd(i(C),rd(i(C),B))) -> i(rd(i(C),A))
% Current number of equations to process: 19
% Current number of ordered equations: 11
% Current number of rules: 26
% New rule produced :
% [57] i(rd(rd(A,C),B)) <-> i(rd(rd(A,B),rd(i(rd(i(C),B)),B)))
% Rule [39] i(rd(rd(i(C),B),A)) <-> i(rd(rd(i(C),A),rd(i(rd(i(B),A)),A)))
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 10
% Current number of rules: 26
% New rule produced :
% [58] i(rd(rd(A,B),rd(i(rd(i(C),B)),B))) <-> i(rd(rd(A,C),B))
% Rule [38] i(rd(rd(i(C),A),rd(i(rd(i(B),A)),A))) <-> i(rd(rd(i(C),B),A))
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 9
% Current number of rules: 26
% New rule produced :
% [59] i(rd(rd(i(C),B),rd(i(rd(A,B)),B))) <-> i(rd(rd(i(C),i(A)),B))
% Current number of equations to process: 20
% Current number of ordered equations: 8
% Current number of rules: 27
% New rule produced :
% [60] i(rd(rd(i(C),i(A)),B)) <-> i(rd(rd(i(C),B),rd(i(rd(A,B)),B)))
% Current number of equations to process: 20
% Current number of ordered equations: 7
% Current number of rules: 28
% New rule produced : [61] i(rd(rd(i(B),A),i(B))) <-> rd(i(rd(i(A),i(B))),i(B))
% Current number of equations to process: 19
% Current number of ordered equations: 7
% Current number of rules: 29
% New rule produced : [62] rd(i(rd(i(A),i(B))),i(B)) <-> i(rd(rd(i(B),A),i(B)))
% Current number of equations to process: 19
% Current number of ordered equations: 5
% Current number of rules: 30
% New rule produced :
% [63] rd(rd(i(B),A),rd(i(rd(i(C),rd(i(C),B))),i(rd(i(C),A)))) -> C
% Current number of equations to process: 21
% Current number of ordered equations: 5
% Current number of rules: 31
% New rule produced : [64] i(rd(i(A),i(rd(i(B),i(A))))) <-> rd(i(A),rd(i(A),B))
% Current number of equations to process: 20
% Current number of ordered equations: 6
% Current number of rules: 32
% New rule produced : [65] rd(i(A),rd(i(A),B)) <-> i(rd(i(A),i(rd(i(B),i(A)))))
% Current number of equations to process: 20
% Current number of ordered equations: 5
% Current number of rules: 33
% New rule produced :
% [66] i(rd(rd(A,i(rd(i(B),A))),i(rd(A,C)))) -> i(rd(A,i(rd(i(B),C))))
% Rule
% [40]
% i(rd(rd(i(C),i(rd(i(B),i(C)))),i(rd(i(C),A)))) -> i(rd(i(C),i(rd(i(B),A))))
% collapsed.
% Current number of equations to process: 20
% Current number of ordered equations: 4
% Current number of rules: 33
% New rule produced : [67] i(rd(A,i(rd(i(A),A)))) -> A
% Current number of equations to process: 28
% Current number of ordered equations: 4
% Current number of rules: 34
% New rule produced : [68] rd(i(A),i(rd(A,B))) -> rd(A,i(rd(i(A),B)))
% Rule [45] i(rd(i(A),i(rd(A,B)))) -> i(rd(A,i(rd(i(A),B)))) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 4
% Current number of rules: 34
% Rule [61] i(rd(rd(i(B),A),i(B))) <-> rd(i(rd(i(A),i(B))),i(B)) is composed into 
% [61] i(rd(rd(i(B),A),i(B))) -> rd(i(B),i(rd(i(i(A)),i(B))))
% Rule [60] i(rd(rd(i(C),i(A)),B)) <-> i(rd(rd(i(C),B),rd(i(rd(A,B)),B))) is composed into 
% [60] i(rd(rd(i(C),i(A)),B)) <-> i(rd(rd(i(C),B),rd(B,i(rd(i(A),B)))))
% Rule [57] i(rd(rd(A,C),B)) <-> i(rd(rd(A,B),rd(i(rd(i(C),B)),B))) is composed into 
% [57] i(rd(rd(A,C),B)) <-> i(rd(rd(A,B),rd(B,i(rd(i(i(C)),B)))))
% Rule [50] rd(i(rd(rd(i(C),B),A)),i(rd(i(C),A))) -> rd(i(rd(i(B),A)),A) is composed into 
% [50] rd(i(rd(rd(i(C),B),A)),i(rd(i(C),A))) -> rd(A,i(rd(i(i(B)),A)))
% New rule produced : [69] rd(i(rd(B,A)),A) -> rd(A,i(rd(i(B),A)))
% Rule [55] rd(i(rd(i(rd(i(B),A)),A)),rd(rd(i(C),B),A)) -> i(rd(i(C),A))
% collapsed.
% Rule [58] i(rd(rd(A,B),rd(i(rd(i(C),B)),B))) <-> i(rd(rd(A,C),B)) collapsed.
% Rule [59] i(rd(rd(i(C),B),rd(i(rd(A,B)),B))) <-> i(rd(rd(i(C),i(A)),B))
% collapsed.
% Rule [62] rd(i(rd(i(A),i(B))),i(B)) <-> i(rd(rd(i(B),A),i(B))) collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 2
% Current number of rules: 31
% New rule produced : [70] rd(rd(i(A),i(B)),B) -> rd(rd(i(A),B),i(B))
% Rule [52] i(rd(rd(i(A),i(B)),B)) -> i(rd(rd(i(A),B),i(B))) collapsed.
% Current number of equations to process: 183
% Current number of ordered equations: 2
% Current number of rules: 31
% New rule produced : [71] rd(rd(i(A),i(B)),i(A)) -> rd(i(A),rd(i(A),B))
% Current number of equations to process: 210
% Current number of ordered equations: 2
% Current number of rules: 32
% New rule produced : [72] rd(i(rd(A,i(rd(i(A),B)))),A) -> i(rd(A,B))
% Current number of equations to process: 214
% Current number of ordered equations: 2
% Current number of rules: 33
% New rule produced : [73] i(rd(rd(i(rd(B,A)),B),i(B))) -> i(rd(A,B))
% Current number of equations to process: 213
% Current number of ordered equations: 2
% Current number of rules: 34
% New rule produced : [74] rd(rd(i(A),rd(i(A),B)),A) -> i(rd(i(B),i(A)))
% Current number of equations to process: 211
% Current number of ordered equations: 2
% Current number of rules: 35
% New rule produced : [75] rd(A,rd(i(A),rd(i(A),B))) -> i(rd(i(A),i(B)))
% Current number of equations to process: 295
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced : [76] i(rd(i(A),B)) <-> i(rd(i(B),rd(B,i(rd(A,B)))))
% Current number of equations to process: 332
% Current number of ordered equations: 3
% Current number of rules: 37
% New rule produced : [77] i(rd(i(B),rd(B,i(rd(A,B))))) <-> i(rd(i(A),B))
% Current number of equations to process: 332
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced : [78] rd(rd(A,B),rd(B,i(rd(C,B)))) <-> rd(rd(A,C),B)
% Current number of equations to process: 331
% Current number of ordered equations: 3
% Current number of rules: 39
% New rule produced : [79] rd(rd(A,C),B) <-> rd(rd(A,B),rd(B,i(rd(C,B))))
% Rule [60] i(rd(rd(i(C),i(A)),B)) <-> i(rd(rd(i(C),B),rd(B,i(rd(i(A),B)))))
% collapsed.
% Rule [70] rd(rd(i(A),i(B)),B) -> rd(rd(i(A),B),i(B)) collapsed.
% Rule [74] rd(rd(i(A),rd(i(A),B)),A) -> i(rd(i(B),i(A))) collapsed.
% Current number of equations to process: 333
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced : [80] i(rd(rd(A,B),A)) -> rd(A,i(rd(B,A)))
% Rule [61] i(rd(rd(i(B),A),i(B))) -> rd(i(B),i(rd(i(i(A)),i(B)))) collapsed.
% Current number of equations to process: 351
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced : [81] rd(rd(A,B),rd(A,i(rd(i(A),B)))) -> A
% Current number of equations to process: 364
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced : [82] rd(rd(i(A),B),i(A)) -> i(rd(i(A),i(rd(B,i(A)))))
% Rule [71] rd(rd(i(A),i(B)),i(A)) -> rd(i(A),rd(i(A),B)) collapsed.
% Current number of equations to process: 387
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced : [83] i(rd(A,i(rd(i(B),A)))) <-> rd(A,rd(A,B))
% Rule [64] i(rd(i(A),i(rd(i(B),i(A))))) <-> rd(i(A),rd(i(A),B)) collapsed.
% Rule [67] i(rd(A,i(rd(i(A),A)))) -> A collapsed.
% Current number of equations to process: 409
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced : [84] rd(i(A),rd(i(A),rd(A,B))) -> i(rd(i(A),i(B)))
% Current number of equations to process: 428
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced : [85] i(rd(i(A),rd(i(A),B))) <-> rd(i(A),i(rd(i(B),i(A))))
% Current number of equations to process: 440
% Current number of ordered equations: 5
% Current number of rules: 39
% New rule produced : [86] i(rd(i(A),i(rd(B,i(A))))) <-> rd(i(A),rd(i(A),i(B)))
% Current number of equations to process: 440
% Current number of ordered equations: 4
% Current number of rules: 40
% New rule produced : [87] rd(i(A),i(rd(i(B),i(A)))) <-> i(rd(i(A),rd(i(A),B)))
% Current number of equations to process: 440
% Current number of ordered equations: 3
% Current number of rules: 41
% New rule produced : [88] rd(i(A),rd(i(A),i(B))) <-> i(rd(i(A),i(rd(B,i(A)))))
% Current number of equations to process: 440
% Current number of ordered equations: 2
% Current number of rules: 42
% New rule produced : [89] i(rd(A,i(rd(i(A),rd(B,i(A)))))) -> i(rd(i(A),B))
% Current number of equations to process: 489
% Current number of ordered equations: 2
% Current number of rules: 43
% New rule produced : [90] rd(rd(A,B),rd(A,i(rd(i(C),B)))) -> rd(A,rd(A,C))
% Rule [51] rd(rd(i(B),A),rd(i(B),i(rd(i(C),A)))) -> rd(i(B),rd(i(B),C))
% collapsed.
% Rule [81] rd(rd(A,B),rd(A,i(rd(i(A),B)))) -> A collapsed.
% Current number of equations to process: 488
% Current number of ordered equations: 2
% Current number of rules: 42
% New rule produced :
% [91] i(rd(rd(i(C),i(rd(A,i(C)))),i(rd(i(C),B)))) -> i(rd(i(C),i(rd(A,B))))
% Current number of equations to process: 491
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced : [92] rd(A,i(rd(i(A),A))) -> i(A)
% Current number of equations to process: 493
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [93] rd(A,i(rd(i(A),rd(B,i(A))))) -> rd(i(A),B)
% Rule [89] i(rd(A,i(rd(i(A),rd(B,i(A)))))) -> i(rd(i(A),B)) collapsed.
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [94] rd(B,i(rd(rd(i(B),A),B))) -> rd(i(A),B)
% Current number of equations to process: 540
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [95] rd(i(A),rd(A,i(rd(i(B),A)))) -> rd(B,A)
% Current number of equations to process: 544
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced : [96] rd(i(A),A) -> i(rd(A,i(A)))
% Rule [92] rd(A,i(rd(i(A),A))) -> i(A) collapsed.
% Current number of equations to process: 558
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced : [97] rd(i(rd(A,B)),A) -> i(rd(A,rd(B,A)))
% Rule [72] rd(i(rd(A,i(rd(i(A),B)))),A) -> i(rd(A,B)) collapsed.
% Rule [73] i(rd(rd(i(rd(B,A)),B),i(B))) -> i(rd(A,B)) collapsed.
% Current number of equations to process: 561
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [98] rd(i(A),rd(A,rd(A,B))) -> i(rd(A,i(B)))
% Current number of equations to process: 566
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced : [99] i(rd(i(A),i(rd(B,A)))) -> rd(A,rd(i(A),i(B)))
% Current number of equations to process: 577
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [100] rd(i(rd(A,i(rd(i(B),A)))),rd(B,A)) -> A
% Current number of equations to process: 580
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced : [101] rd(i(B),i(rd(rd(B,A),i(B)))) -> rd(i(A),i(B))
% Current number of equations to process: 579
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [102] rd(rd(A,B),i(rd(B,rd(A,B)))) -> rd(A,rd(A,B))
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced : [103] rd(i(B),A) <-> rd(i(A),rd(A,i(rd(B,A))))
% Rule [32] rd(i(rd(A,B)),i(A)) -> B collapsed.
% Rule [37] rd(i(rd(i(B),A)),B) -> A collapsed.
% Rule [50] rd(i(rd(rd(i(C),B),A)),i(rd(i(C),A))) -> rd(A,i(rd(i(i(B)),A)))
% collapsed.
% Rule [53] rd(i(rd(i(rd(i(B),rd(i(B),C))),i(rd(i(B),A)))),B) -> i(rd(i(C),A))
% collapsed.
% Rule [69] rd(i(rd(B,A)),A) -> rd(A,i(rd(i(B),A))) collapsed.
% Rule [76] i(rd(i(A),B)) <-> i(rd(i(B),rd(B,i(rd(A,B))))) collapsed.
% Rule [97] rd(i(rd(A,B)),A) -> i(rd(A,rd(B,A))) collapsed.
% Rule [100] rd(i(rd(A,i(rd(i(B),A)))),rd(B,A)) -> A collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% i(rd(rd(rd(i(c),b),i(rd(i(b),a))),rd(i(rd(i(b),a)),i(rd(rd(b,i(rd(i(b),a))),
% rd(rd(i(b),a),i(
% rd(
% i(
% rd(
% i(b),a)),
% rd(
% i(
% rd(
% i(b),a)),
% i(
% rd(
% rd(
% rd(c,b),
% rd(b,
% rd(b,
% rd(c,b)))),
% i(
% rd(
% i(b),a))))))))))))) = 
% i(rd(i(b),i(rd(rd(rd(i(c),b),b),a))))
% 
% Current number of equations to process: 594
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [104]
% rd(i(B),rd(B,i(rd(rd(i(A),B),rd(B,i(rd(rd(A,B),rd(B,rd(B,rd(A,B)))))))))) ->
% A
% Current number of equations to process: 593
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [105] rd(A,rd(i(A),i(rd(i(B),i(A))))) -> rd(B,i(A))
% Current number of equations to process: 636
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [106] rd(rd(A,B),A) -> i(rd(A,i(rd(B,A))))
% Rule [80] i(rd(rd(A,B),A)) -> rd(A,i(rd(B,A))) collapsed.
% Rule [82] rd(rd(i(A),B),i(A)) -> i(rd(i(A),i(rd(B,i(A))))) collapsed.
% Current number of equations to process: 650
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [107] i(rd(A,rd(A,B))) <-> rd(A,i(rd(i(B),A)))
% Rule [85] i(rd(i(A),rd(i(A),B))) <-> rd(i(A),i(rd(i(B),i(A)))) collapsed.
% Current number of equations to process: 712
% Current number of ordered equations: 4
% Current number of rules: 44
% New rule produced : [108] i(rd(A,i(rd(B,A)))) <-> rd(A,rd(A,i(B)))
% Rule [86] i(rd(i(A),i(rd(B,i(A))))) <-> rd(i(A),rd(i(A),i(B))) collapsed.
% Current number of equations to process: 712
% Current number of ordered equations: 3
% Current number of rules: 44
% New rule produced : [109] rd(A,rd(A,i(B))) <-> i(rd(A,i(rd(B,A))))
% Rule [88] rd(i(A),rd(i(A),i(B))) <-> i(rd(i(A),i(rd(B,i(A))))) collapsed.
% Current number of equations to process: 712
% Current number of ordered equations: 2
% Current number of rules: 44
% New rule produced : [110] rd(A,i(rd(i(B),A))) <-> i(rd(A,rd(A,B)))
% Rule [87] rd(i(A),i(rd(i(B),i(A)))) <-> i(rd(i(A),rd(i(A),B))) collapsed.
% Current number of equations to process: 712
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [111] rd(A,rd(A,rd(i(A),B))) -> i(rd(A,i(B)))
% Current number of equations to process: 749
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [112] rd(rd(A,B),rd(rd(A,B),B)) -> rd(A,i(rd(B,A)))
% Current number of equations to process: 756
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced : [113] rd(A,i(rd(i(A),i(B)))) -> i(rd(A,i(rd(i(A),B))))
% Current number of equations to process: 794
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [114] rd(rd(A,B),rd(B,i(rd(i(A),B)))) -> rd(A,rd(B,A))
% Current number of equations to process: 804
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced : [115] rd(rd(A,rd(B,C)),rd(A,B)) -> rd(A,rd(A,C))
% Current number of equations to process: 812
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [116] rd(rd(A,B),rd(A,i(rd(C,B)))) -> rd(A,rd(A,i(C)))
% Rule [90] rd(rd(A,B),rd(A,i(rd(i(C),B)))) -> rd(A,rd(A,C)) collapsed.
% Current number of equations to process: 824
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [117] rd(rd(rd(i(A),B),A),rd(i(B),A)) -> i(A)
% Current number of equations to process: 930
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced : [118] rd(i(A),i(rd(i(B),A))) -> i(rd(A,rd(i(A),B)))
% Current number of equations to process: 930
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced : [119] i(rd(A,i(rd(B,i(A))))) <-> rd(i(A),rd(A,i(B)))
% Current number of equations to process: 1012
% Current number of ordered equations: 2
% Current number of rules: 52
% New rule produced : [120] rd(i(A),rd(A,i(B))) <-> i(rd(A,i(rd(B,i(A)))))
% Current number of equations to process: 1012
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced : [121] rd(i(A),i(rd(B,A))) -> i(rd(A,rd(i(A),i(B))))
% Rule [99] i(rd(i(A),i(rd(B,A)))) -> rd(A,rd(i(A),i(B))) collapsed.
% Rule [118] rd(i(A),i(rd(i(B),A))) -> i(rd(A,rd(i(A),B))) collapsed.
% Current number of equations to process: 1053
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced : [122] rd(rd(rd(A,B),i(A)),rd(i(B),i(A))) -> A
% Current number of equations to process: 1060
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced : [123] rd(rd(A,rd(B,A)),rd(B,rd(B,A))) -> i(rd(B,A))
% Current number of equations to process: 1119
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced : [124] rd(A,rd(i(A),i(rd(B,i(A))))) <-> rd(i(B),i(A))
% Current number of equations to process: 1265
% Current number of ordered equations: 2
% Current number of rules: 55
% New rule produced : [125] rd(i(B),i(A)) <-> rd(A,rd(i(A),i(rd(B,i(A)))))
% Current number of equations to process: 1265
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced : [126] rd(B,i(rd(i(B),rd(B,A)))) <-> rd(A,B)
% Current number of equations to process: 1340
% Current number of ordered equations: 2
% Current number of rules: 57
% New rule produced : [127] rd(A,B) <-> rd(B,i(rd(i(B),rd(B,A))))
% Rule [94] rd(B,i(rd(rd(i(B),A),B))) -> rd(i(A),B) collapsed.
% Rule [101] rd(i(B),i(rd(rd(B,A),i(B)))) -> rd(i(A),i(B)) collapsed.
% Rule [106] rd(rd(A,B),A) -> i(rd(A,i(rd(B,A)))) collapsed.
% Rule [112] rd(rd(A,B),rd(rd(A,B),B)) -> rd(A,i(rd(B,A))) collapsed.
% Rule [115] rd(rd(A,rd(B,C)),rd(A,B)) -> rd(A,rd(A,C)) collapsed.
% Rule [117] rd(rd(rd(i(A),B),A),rd(i(B),A)) -> i(A) collapsed.
% Rule [122] rd(rd(rd(A,B),i(A)),rd(i(B),i(A))) -> A collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% i(rd(rd(rd(i(c),b),i(rd(i(b),a))),rd(i(rd(i(b),a)),i(rd(rd(b,i(rd(i(b),a))),
% rd(rd(i(b),a),rd(
% rd(
% i(b),a),
% i(
% rd(
% i(
% rd(
% i(b),a)),
% rd(
% i(
% rd(
% i(b),a)),
% rd(
% i(
% rd(
% i(b),a)),
% rd(
% i(
% rd(
% i(b),a)),
% rd(
% rd(c,b),
% rd(b,
% rd(b,
% rd(c,b)))))))))))))))) = 
% i(rd(i(b),i(rd(a,i(rd(i(a),rd(a,rd(b,i(rd(i(b),rd(b,rd(i(c),b))))))))))))
% 
% Current number of equations to process: 1346
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced : [128] i(rd(A,rd(A,i(B)))) <-> rd(A,i(rd(B,A)))
% Current number of equations to process: 1443
% Current number of ordered equations: 2
% Current number of rules: 52
% New rule produced : [129] rd(A,i(rd(B,A))) <-> i(rd(A,rd(A,i(B))))
% Current number of equations to process: 1443
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced : [130] rd(rd(i(A),B),i(rd(B,rd(B,A)))) -> i(B)
% Current number of equations to process: 1628
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced : [131] rd(B,i(A)) <-> rd(A,i(rd(i(A),rd(i(A),B))))
% Current number of equations to process: 1627
% Current number of ordered equations: 2
% Current number of rules: 55
% New rule produced : [132] rd(A,i(rd(i(A),rd(i(A),B)))) <-> rd(B,i(A))
% Current number of equations to process: 1627
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced : [133] rd(A,rd(A,i(rd(A,i(A))))) -> i(rd(A,i(A)))
% Current number of equations to process: 1656
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced : [134] rd(rd(A,B),i(rd(B,rd(B,C)))) <-> rd(rd(A,i(C)),B)
% Current number of equations to process: 1709
% Current number of ordered equations: 2
% Current number of rules: 58
% New rule produced : [135] rd(rd(A,i(C)),B) <-> rd(rd(A,B),i(rd(B,rd(B,C))))
% Current number of equations to process: 1709
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [136]
% i(rd(A,rd(A,i(rd(i(A),rd(A,rd(i(A),B))))))) <-> rd(i(A),rd(A,rd(i(B),A)))
% Current number of equations to process: 1708
% Current number of ordered equations: 2
% Current number of rules: 60
% New rule produced :
% [137]
% rd(i(A),rd(A,rd(i(B),A))) <-> i(rd(A,rd(A,i(rd(i(A),rd(A,rd(i(A),B)))))))
% Current number of equations to process: 1708
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced : [138] i(rd(i(A),rd(A,i(rd(i(A),B))))) <-> rd(i(B),i(A))
% Current number of equations to process: 1706
% Current number of ordered equations: 2
% Current number of rules: 62
% New rule produced : [139] rd(i(B),i(A)) <-> i(rd(i(A),rd(A,i(rd(i(A),B)))))
% Current number of equations to process: 1706
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [140] rd(A,rd(A,i(rd(A,i(B))))) -> i(rd(A,i(rd(A,rd(A,B)))))
% Rule [133] rd(A,rd(A,i(rd(A,i(A))))) -> i(rd(A,i(A))) collapsed.
% Current number of equations to process: 1705
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced : [141] i(rd(A,B)) <-> rd(B,i(rd(B,i(rd(i(B),A)))))
% Current number of equations to process: 1713
% Current number of ordered equations: 2
% Current number of rules: 64
% New rule produced : [142] rd(B,i(rd(B,i(rd(i(B),A))))) <-> i(rd(A,B))
% Current number of equations to process: 1713
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [143] rd(A,rd(B,A)) <-> rd(rd(A,i(A)),B)
% Current number of equations to process: 1736
% Current number of ordered equations: 2
% Current number of rules: 66
% New rule produced : [144] rd(rd(A,i(A)),B) <-> rd(A,rd(B,A))
% Current number of equations to process: 1736
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced : [145] rd(rd(A,B),i(rd(B,rd(B,A)))) -> rd(A,rd(B,A))
% Current number of equations to process: 1758
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced : [146] rd(rd(A,B),rd(A,rd(B,i(B)))) -> rd(A,rd(A,B))
% Current number of equations to process: 1811
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced : [147] i(rd(i(A),rd(A,i(B)))) <-> rd(A,i(rd(B,i(A))))
% Current number of equations to process: 1868
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced : [148] rd(A,i(rd(B,i(A)))) <-> i(rd(i(A),rd(A,i(B))))
% Current number of equations to process: 1868
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced : [149] i(rd(A,i(rd(i(B),i(A))))) <-> rd(i(A),rd(A,B))
% Current number of equations to process: 1959
% Current number of ordered equations: 2
% Current number of rules: 72
% New rule produced : [150] rd(i(A),rd(A,B)) <-> i(rd(A,i(rd(i(B),i(A)))))
% Current number of equations to process: 1959
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced : [151] i(rd(i(B),A)) <-> rd(A,rd(A,i(rd(i(A),B))))
% Current number of equations to process: 1962
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced : [152] rd(A,rd(A,i(rd(i(A),B)))) <-> i(rd(i(B),A))
% Current number of equations to process: 1962
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced : [153] i(rd(B,i(rd(B,i(rd(i(B),A)))))) <-> rd(A,B)
% Current number of equations to process: 1990
% Current number of ordered equations: 2
% Current number of rules: 76
% New rule produced : [154] rd(A,B) <-> i(rd(B,i(rd(B,i(rd(i(B),A))))))
% Current number of equations to process: 1990
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced : [155] rd(rd(A,B),i(rd(B,rd(i(B),i(A))))) -> B
% Current number of equations to process: 2065
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced : [156] rd(rd(A,rd(i(A),B)),rd(B,i(A))) -> A
% Current number of equations to process: 2077
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced : [157] rd(rd(i(A),rd(A,B)),rd(B,A)) -> i(A)
% Current number of equations to process: 2262
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced : [158] rd(rd(A,rd(A,B)),rd(B,A)) -> A
% Current number of equations to process: 2290
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced : [159] rd(A,rd(A,i(rd(B,i(A))))) <-> rd(i(B),A)
% Current number of equations to process: 2293
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced : [160] rd(i(B),A) <-> rd(A,rd(A,i(rd(B,i(A)))))
% Rule [96] rd(i(A),A) -> i(rd(A,i(A))) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% i(rd(rd(rd(b,rd(b,i(rd(c,i(b))))),i(rd(a,rd(a,i(rd(b,i(a))))))),rd(i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% i(rd(
% rd(b,
% i(rd(a,
% rd(a,
% i(
% rd(b,
% i(a))))))),
% rd(
% rd(a,
% rd(a,
% i(rd(b,
% i(a))))),
% rd(
% rd(a,
% rd(a,
% i(rd(b,
% i(a))))),
% i(rd(
% i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% rd(
% i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% rd(
% i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% rd(
% i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% rd(
% rd(c,b),
% rd(b,
% rd(b,
% rd(c,b)))))))))))))))) = 
% i(rd(i(b),i(rd(a,i(rd(i(a),rd(a,i(rd(b,i(rd(b,i(c))))))))))))
% 
% Current number of equations to process: 2293
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced : [161] rd(rd(A,B),i(rd(B,rd(B,i(A))))) -> i(B)
% Current number of equations to process: 2618
% Current number of ordered equations: 1
% Current number of rules: 83
% Rule [136]
% i(rd(A,rd(A,i(rd(i(A),rd(A,rd(i(A),B))))))) <->
% rd(i(A),rd(A,rd(i(B),A))) is composed into [136]
% i(rd(A,rd(A,i(rd(i(A),
% rd(A,rd(i(A),B)))))))
% ->
% i(rd(A,rd(i(A),rd(A,i(B)))))
% New rule produced : [162] rd(i(A),rd(A,rd(B,A))) -> i(rd(A,rd(i(A),rd(A,B))))
% Rule
% [137]
% rd(i(A),rd(A,rd(i(B),A))) <-> i(rd(A,rd(A,i(rd(i(A),rd(A,rd(i(A),B)))))))
% collapsed.
% Current number of equations to process: 2854
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced : [163] rd(A,rd(A,i(rd(i(A),rd(i(A),B))))) -> i(B)
% The conjecture has been reduced. 
% Conjecture is now:
% i(rd(rd(rd(b,rd(b,i(rd(c,i(b))))),i(rd(a,rd(a,i(rd(b,i(a))))))),rd(i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% i(rd(
% rd(b,
% i(rd(a,
% rd(a,
% i(
% rd(b,
% i(a))))))),
% i(rd(
% i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% rd(
% i(
% rd(a,
% rd(a,
% i(
% rd(b,
% i(a)))))),
% rd(
% rd(c,b),
% rd(b,
% rd(b,
% rd(c,b)))))))))))) = 
% i(rd(i(b),i(rd(a,i(rd(i(a),rd(a,i(rd(b,i(rd(b,i(c))))))))))))
% 
% Current number of equations to process: 2853
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced : [164] rd(i(A),rd(A,i(rd(i(A),rd(A,B))))) -> i(B)
% Current number of equations to process: 2852
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced : [165] rd(rd(A,i(B)),i(rd(A,i(rd(i(A),B))))) -> A
% Current number of equations to process: 3059
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced : [166] rd(rd(A,B),i(rd(B,rd(B,i(C))))) <-> rd(rd(A,C),B)
% Current number of equations to process: 3056
% Current number of ordered equations: 2
% Current number of rules: 87
% New rule produced : [167] rd(rd(A,C),B) <-> rd(rd(A,B),i(rd(B,rd(B,i(C)))))
% Current number of equations to process: 3056
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [168] rd(A,i(rd(A,rd(A,i(B))))) -> i(rd(A,rd(A,i(rd(A,B)))))
% Current number of equations to process: 3055
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced : [169] i(rd(A,rd(A,i(rd(i(A),B))))) <-> rd(i(B),A)
% Current number of equations to process: 3185
% Current number of ordered equations: 2
% Current number of rules: 90
% New rule produced : [170] rd(i(B),A) <-> i(rd(A,rd(A,i(rd(i(A),B)))))
% Current number of equations to process: 3185
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced : [171] i(rd(i(A),i(B))) <-> rd(i(B),rd(B,i(rd(i(B),A))))
% Current number of equations to process: 3184
% Current number of ordered equations: 2
% Current number of rules: 92
% New rule produced : [172] rd(i(B),rd(B,i(rd(i(B),A)))) <-> i(rd(i(A),i(B)))
% Current number of equations to process: 3184
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced : [173] rd(A,i(rd(i(A),rd(A,i(rd(i(A),B)))))) -> B
% Current number of equations to process: 3363
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [174] i(rd(A,rd(A,i(rd(A,B))))) <-> rd(A,rd(A,i(rd(B,A))))
% Current number of equations to process: 3433
% Current number of ordered equations: 2
% Current number of rules: 95
% New rule produced :
% [175] rd(A,rd(A,i(rd(B,A)))) <-> i(rd(A,rd(A,i(rd(A,B)))))
% Current number of equations to process: 3433
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced : [176] rd(A,rd(B,rd(i(A),B))) -> i(rd(B,i(B)))
% Current number of equations to process: 3756
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced : [177] rd(i(A),rd(B,i(A))) <-> rd(i(rd(A,i(A))),B)
% Current number of equations to process: 3755
% Current number of ordered equations: 2
% Current number of rules: 98
% New rule produced : [178] rd(i(rd(A,i(A))),B) <-> rd(i(A),rd(B,i(A)))
% Current number of equations to process: 3755
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced : [179] rd(i(A),rd(B,rd(A,B))) -> i(rd(B,i(B)))
% Current number of equations to process: 3763
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced : [180] rd(i(A),i(rd(rd(A,i(A)),B))) -> rd(A,B)
% Current number of equations to process: 3833
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced : [181] rd(A,i(rd(i(rd(A,i(A))),B))) -> rd(i(A),B)
% Current number of equations to process: 3834
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced : [182] rd(i(rd(A,B)),rd(rd(B,i(B)),A)) -> i(B)
% Current number of equations to process: 3833
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced : [183] rd(A,rd(B,rd(A,B))) <-> rd(rd(A,i(A)),rd(B,i(B)))
% Current number of equations to process: 3834
% Current number of ordered equations: 2
% Current number of rules: 104
% New rule produced : [184] rd(rd(A,i(A)),rd(B,i(B))) <-> rd(A,rd(B,rd(A,B)))
% Current number of equations to process: 3834
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced : [185] rd(rd(A,i(rd(i(A),B))),i(rd(B,A))) -> i(A)
% Current number of equations to process: 3846
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced : [186] rd(rd(A,rd(A,B)),rd(B,rd(A,B))) -> i(rd(B,A))
% Current number of equations to process: 3863
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced : [187] rd(rd(A,B),rd(A,rd(B,A))) -> rd(B,i(rd(i(B),A)))
% Current number of equations to process: 3885
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced : [188] i(rd(i(A),rd(A,B))) <-> rd(A,i(rd(i(B),i(A))))
% Current number of equations to process: 4054
% Current number of ordered equations: 2
% Current number of rules: 109
% New rule produced : [189] rd(A,i(rd(i(B),i(A)))) <-> i(rd(i(A),rd(A,B)))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced : [190] rd(A,rd(A,i(rd(i(B),i(A))))) -> rd(B,A)
% Current number of equations to process: 4440
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced : [191] rd(rd(i(A),B),i(rd(B,rd(i(B),A)))) -> B
% Current number of equations to process: 1754
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced : [192] rd(i(rd(A,i(rd(B,A)))),rd(i(B),A)) -> A
% Current number of equations to process: 2342
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced : [193] rd(rd(A,B),i(rd(rd(B,i(B)),A))) -> rd(A,rd(A,B))
% Current number of equations to process: 2778
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [194] i(rd(A,i(rd(B,rd(A,B))))) <-> rd(A,rd(A,i(rd(B,i(B)))))
% Current number of equations to process: 2777
% Current number of ordered equations: 2
% Current number of rules: 115
% New rule produced :
% [195] rd(A,rd(A,i(rd(B,i(B))))) <-> i(rd(A,i(rd(B,rd(A,B)))))
% Current number of equations to process: 2777
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced : [196] i(rd(i(rd(B,A)),i(rd(B,rd(A,i(A)))))) -> A
% Current number of equations to process: 2776
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [197] rd(i(A),rd(rd(A,i(A)),B)) -> i(rd(A,rd(i(A),rd(A,B))))
% Current number of equations to process: 2775
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced : [198] rd(rd(A,i(rd(i(A),B))),i(rd(B,i(A)))) -> A
% Current number of equations to process: 2774
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [199] rd(A,rd(A,i(rd(B,i(A))))) <-> rd(i(A),rd(A,i(rd(B,A))))
% Current number of equations to process: 2773
% Current number of ordered equations: 2
% Current number of rules: 120
% New rule produced :
% [200] rd(i(A),rd(A,i(rd(B,A)))) <-> rd(A,rd(A,i(rd(B,i(A)))))
% Current number of equations to process: 2773
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced : [201] rd(rd(A,i(rd(B,i(A)))),i(rd(i(A),B))) -> A
% Current number of equations to process: 2770
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced : [202] rd(rd(A,i(rd(A,B))),i(rd(B,A))) -> A
% Current number of equations to process: 2821
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [203] i(rd(A,rd(A,i(rd(B,A))))) <-> rd(A,rd(A,i(rd(A,B))))
% Current number of equations to process: 3701
% Current number of ordered equations: 2
% Current number of rules: 124
% New rule produced :
% [204] rd(A,rd(A,i(rd(A,B)))) <-> i(rd(A,rd(A,i(rd(B,A)))))
% Current number of equations to process: 3701
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [205] i(rd(A,rd(A,rd(i(B),A)))) <-> rd(A,rd(A,rd(A,i(B))))
% Current number of equations to process: 4263
% Current number of ordered equations: 2
% Current number of rules: 126
% New rule produced :
% [206] rd(A,rd(A,rd(A,i(B)))) <-> i(rd(A,rd(A,rd(i(B),A))))
% Current number of equations to process: 4263
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced : [207] i(rd(A,rd(rd(A,i(A)),B))) -> rd(A,rd(A,rd(A,B)))
% Current number of equations to process: 4995
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced : [208] rd(A,rd(B,i(rd(A,i(A))))) <-> rd(i(A),B)
% Current number of equations to process: 1967
% Current number of ordered equations: 2
% Current number of rules: 129
% New rule produced : [209] rd(i(A),B) <-> rd(A,rd(B,i(rd(A,i(A)))))
% Current number of equations to process: 1967
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced : [210] rd(rd(A,B),rd(i(A),B)) -> rd(A,i(A))
% Current number of equations to process: 2070
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced : [211] rd(i(A),rd(B,rd(A,i(A)))) -> rd(A,B)
% Current number of equations to process: 2093
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [212] i(rd(rd(B,A),i(rd(B,A)))) -> rd(A,rd(B,rd(i(B),i(A))))
% Current number of equations to process: 3800
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced : [213] rd(i(rd(A,i(B))),rd(i(rd(B,i(B))),A)) -> B
% Current number of equations to process: 3799
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced : [214] i(rd(rd(i(A),i(B)),rd(B,i(B)))) -> i(rd(i(A),B))
% Current number of equations to process: 3798
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced : [215] rd(rd(A,rd(A,B)),rd(B,i(rd(B,A)))) -> rd(A,B)
% Current number of equations to process: 3797
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced : [216] rd(rd(A,B),rd(rd(A,i(A)),B)) -> rd(B,i(rd(i(B),A)))
% Current number of equations to process: 3796
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced : [217] rd(i(rd(B,A)),i(rd(B,rd(A,i(A))))) -> i(A)
% Rule [196] i(rd(i(rd(B,A)),i(rd(B,rd(A,i(A)))))) -> A collapsed.
% Current number of equations to process: 4362
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced : [218] i(rd(A,rd(A,rd(A,B)))) <-> rd(A,rd(A,rd(B,A)))
% Current number of equations to process: 2591
% Current number of ordered equations: 2
% Current number of rules: 138
% New rule produced : [219] rd(A,rd(A,rd(B,A))) <-> i(rd(A,rd(A,rd(A,B))))
% Current number of equations to process: 2591
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced : [220] i(rd(A,rd(A,rd(B,A)))) <-> rd(A,rd(A,rd(A,B)))
% Rule [205] i(rd(A,rd(A,rd(i(B),A)))) <-> rd(A,rd(A,rd(A,i(B)))) collapsed.
% Current number of equations to process: 2703
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced : [221] rd(A,rd(rd(A,i(A)),B)) -> i(rd(A,rd(A,rd(A,B))))
% Rule [207] i(rd(A,rd(rd(A,i(A)),B))) -> rd(A,rd(A,rd(A,B))) collapsed.
% Current number of equations to process: 2889
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced : [222] rd(i(rd(A,rd(B,i(B)))),rd(B,A)) -> B
% Current number of equations to process: 3349
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced : [223] rd(A,rd(B,rd(i(A),i(rd(B,i(B)))))) -> B
% Current number of equations to process: 3432
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced : [224] rd(i(A),rd(B,rd(A,i(rd(B,i(B)))))) -> B
% Current number of equations to process: 3431
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced : [225] i(rd(A,i(rd(i(A),rd(B,i(B)))))) -> rd(B,i(B))
% Current number of equations to process: 3433
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced : [226] rd(i(A),rd(B,rd(A,rd(B,A)))) -> rd(A,rd(B,i(B)))
% Current number of equations to process: 3432
% Current number of ordered equations: 1
% Current number of rules: 144
% Rule [206] rd(A,rd(A,rd(A,i(B)))) <-> i(rd(A,rd(A,rd(i(B),A)))) is composed into 
% [206] rd(A,rd(A,rd(A,i(B)))) <-> rd(A,i(rd(A,i(rd(B,A)))))
% New rule produced :
% [227] i(rd(A,rd(A,rd(i(B),A)))) -> rd(A,i(rd(A,i(rd(B,A)))))
% Current number of equations to process: 3454
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [228] rd(B,rd(A,i(rd(B,i(B))))) <-> rd(i(A),rd(A,i(rd(B,A))))
% Current number of equations to process: 3453
% Current number of ordered equations: 2
% Current number of rules: 146
% New rule produced :
% [229] rd(i(A),rd(A,i(rd(B,A)))) <-> rd(B,rd(A,i(rd(B,i(B)))))
% Current number of equations to process: 3453
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [230] rd(B,rd(A,i(rd(B,i(B))))) <-> rd(A,rd(A,i(rd(B,i(A)))))
% Current number of equations to process: 3452
% Current number of ordered equations: 2
% Current number of rules: 148
% New rule produced :
% [231] rd(A,rd(A,i(rd(B,i(A))))) <-> rd(B,rd(A,i(rd(B,i(B)))))
% The conjecture has been reduced. 
% Conjecture is now:
% i(rd(rd(rd(c,rd(b,i(rd(c,i(c))))),i(rd(b,rd(a,i(rd(b,i(b))))))),rd(i(
% rd(b,
% rd(a,
% i(
% rd(b,
% i(b)))))),
% i(rd(
% rd(b,
% i(rd(b,
% rd(a,
% i(
% rd(b,
% i(b))))))),
% i(rd(
% i(
% rd(b,
% rd(a,
% i(
% rd(b,
% i(b)))))),
% rd(
% i(
% rd(b,
% rd(a,
% i(
% rd(b,
% i(b)))))),
% rd(
% rd(c,b),
% rd(b,
% rd(b,
% rd(c,b)))))))))))) = 
% i(rd(i(b),i(rd(a,i(rd(i(a),rd(a,i(rd(b,i(rd(b,i(c))))))))))))
% 
% Current number of equations to process: 3452
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [232] i(rd(A,i(rd(B,rd(A,i(A)))))) <-> rd(A,rd(A,rd(A,B)))
% Current number of equations to process: 3451
% Current number of ordered equations: 2
% Current number of rules: 150
% New rule produced :
% [233] rd(A,rd(A,rd(A,B))) <-> i(rd(A,i(rd(B,rd(A,i(A))))))
% Current number of equations to process: 3451
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced : [234] i(rd(rd(A,i(B)),rd(B,i(B)))) -> i(rd(A,B))
% Rule [214] i(rd(rd(i(A),i(B)),rd(B,i(B)))) -> i(rd(i(A),B)) collapsed.
% Current number of equations to process: 3932
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [235] i(rd(A,rd(A,rd(A,B)))) <-> rd(A,i(rd(B,rd(A,i(A)))))
% Current number of equations to process: 2068
% Current number of ordered equations: 2
% Current number of rules: 152
% New rule produced :
% [236] rd(A,i(rd(B,rd(A,i(A))))) <-> i(rd(A,rd(A,rd(A,B))))
% Current number of equations to process: 2068
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced : [237] rd(B,i(rd(i(B),rd(A,i(A))))) -> i(rd(A,i(A)))
% Rule [225] i(rd(A,i(rd(i(A),rd(B,i(B)))))) -> rd(B,i(B)) collapsed.
% Current number of equations to process: 2375
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced : [238] rd(A,rd(A,rd(B,A))) <-> rd(A,i(rd(B,rd(A,i(A)))))
% The conjecture has been reduced. 
% Conjecture is now:
% i(rd(rd(rd(c,rd(b,i(rd(c,i(c))))),i(rd(b,rd(a,i(rd(b,i(b))))))),rd(i(
% rd(b,
% rd(a,
% i(
% rd(b,
% i(b)))))),
% i(rd(
% rd(b,
% i(rd(b,
% rd(a,
% i(
% rd(b,
% i(b))))))),
% i(rd(
% i(
% rd(b,
% rd(a,
% i(
% rd(b,
% i(b)))))),
% rd(
% i(
% rd(b,
% rd(a,
% i(
% rd(b,
% i(b)))))),
% rd(
% rd(c,b),
% rd(b,
% i(
% rd(c,
% rd(b,
% i(b)))))))))))))) = 
% i(rd(i(b),i(rd(a,i(rd(i(a),rd(a,i(rd(b,i(rd(b,i(c))))))))))))
% 
% Current number of equations to process: 3713
% Current number of ordered equations: 2
% Current number of rules: 154
% New rule produced : [239] rd(A,i(rd(B,rd(A,i(A))))) <-> rd(A,rd(A,rd(B,A)))
% Current number of equations to process: 3713
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced : [240] rd(rd(A,i(B)),rd(B,i(B))) -> rd(A,B)
% Rule [234] i(rd(rd(A,i(B)),rd(B,i(B)))) -> i(rd(A,B)) collapsed.
% Current number of equations to process: 3751
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced : [241] i(rd(i(rd(A,i(A))),B)) <-> rd(B,i(rd(A,i(A))))
% Current number of equations to process: 4189
% Current number of ordered equations: 2
% Current number of rules: 156
% New rule produced : [242] rd(B,i(rd(A,i(A)))) <-> i(rd(i(rd(A,i(A))),B))
% Current number of equations to process: 4189
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced : [243] i(rd(rd(B,i(B)),A)) <-> rd(A,rd(B,i(B)))
% Current number of equations to process: 4219
% Current number of ordered equations: 2
% Current number of rules: 158
% New rule produced : [244] rd(A,rd(B,i(B))) <-> i(rd(rd(B,i(B)),A))
% Current number of equations to process: 4219
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced : [245] i(rd(A,rd(B,i(B)))) <-> rd(rd(B,i(B)),A)
% Current number of equations to process: 4234
% Current number of ordered equations: 2
% Current number of rules: 160
% New rule produced : [246] rd(rd(B,i(B)),A) <-> i(rd(A,rd(B,i(B))))
% Current number of equations to process: 4234
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced : [247] i(rd(A,i(rd(B,i(B))))) <-> rd(i(rd(B,i(B))),A)
% Current number of equations to process: 4244
% Current number of ordered equations: 2
% Current number of rules: 162
% New rule produced : [248] rd(i(rd(B,i(B))),A) <-> i(rd(A,i(rd(B,i(B)))))
% Current number of equations to process: 4244
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced : [249] i(rd(i(B),rd(A,i(B)))) <-> rd(A,i(rd(B,i(B))))
% Current number of equations to process: 4418
% Current number of ordered equations: 2
% Current number of rules: 164
% New rule produced : [250] rd(A,i(rd(B,i(B)))) <-> i(rd(i(B),rd(A,i(B))))
% Current number of equations to process: 4418
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced : [251] i(rd(A,i(rd(B,i(B))))) <-> rd(i(B),rd(A,i(B)))
% Current number of equations to process: 4432
% Current number of ordered equations: 2
% Current number of rules: 166
% New rule produced : [252] rd(i(B),rd(A,i(B))) <-> i(rd(A,i(rd(B,i(B)))))
% Current number of equations to process: 4432
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced : [253] i(rd(A,rd(B,A))) <-> rd(B,rd(A,i(A)))
% Current number of equations to process: 4568
% Current number of ordered equations: 2
% Current number of rules: 168
% New rule produced : [254] rd(B,rd(A,i(A))) <-> i(rd(A,rd(B,A)))
% Rule [240] rd(rd(A,i(B)),rd(B,i(B))) -> rd(A,B) collapsed.
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced : [255] i(rd(B,rd(A,i(A)))) <-> rd(A,rd(B,A))
% Rule [239] rd(A,i(rd(B,rd(A,i(A))))) <-> rd(A,rd(A,rd(B,A))) collapsed.
% Current number of equations to process: 2458
% Current number of ordered equations: 2
% Current number of rules: 168
% New rule produced : [256] rd(A,rd(B,A)) <-> i(rd(B,rd(A,i(A))))
% Rule [238] rd(A,rd(A,rd(B,A))) <-> rd(A,i(rd(B,rd(A,i(A))))) collapsed.
% Current number of equations to process: 2458
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced : [257] i(rd(A,rd(B,rd(A,B)))) <-> rd(B,rd(rd(A,i(A)),B))
% Current number of equations to process: 4865
% Current number of ordered equations: 2
% Current number of rules: 169
% New rule produced : [258] rd(B,rd(rd(A,i(A)),B)) <-> i(rd(A,rd(B,rd(A,B))))
% Current number of equations to process: 4865
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced : [259] i(rd(B,rd(rd(A,i(A)),B))) <-> rd(A,rd(B,rd(A,B)))
% Current number of equations to process: 4864
% Current number of ordered equations: 2
% Current number of rules: 171
% New rule produced : [260] rd(A,rd(B,rd(A,B))) <-> i(rd(B,rd(rd(A,i(A)),B)))
% Current number of equations to process: 4864
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced : [261] i(rd(B,rd(A,rd(B,A)))) <-> rd(A,rd(B,rd(A,B)))
% Current number of equations to process: 1664
% Current number of ordered equations: 2
% Current number of rules: 173
% New rule produced : [262] rd(A,rd(B,rd(A,B))) <-> i(rd(B,rd(A,rd(B,A))))
% Current number of equations to process: 1664
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [263] i(rd(A,rd(B,rd(A,B)))) <-> rd(rd(B,i(B)),rd(A,i(A)))
% Current number of equations to process: 1844
% Current number of ordered equations: 2
% Current number of rules: 175
% New rule produced :
% [264] rd(rd(B,i(B)),rd(A,i(A))) <-> i(rd(A,rd(B,rd(A,B))))
% Current number of equations to process: 1844
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced : [265] rd(i(rd(A,i(A))),i(rd(A,rd(B,A)))) -> i(B)
% Current number of equations to process: 1843
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [266] i(rd(B,rd(rd(A,i(A)),B))) <-> rd(A,rd(rd(B,i(B)),A))
% Current number of equations to process: 1842
% Current number of ordered equations: 2
% Current number of rules: 178
% New rule produced :
% [267] rd(A,rd(rd(B,i(B)),A)) <-> i(rd(B,rd(rd(A,i(A)),B)))
% Current number of equations to process: 1842
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [268] i(rd(B,rd(A,rd(B,A)))) <-> rd(A,i(rd(A,rd(B,i(B)))))
% Current number of equations to process: 1839
% Current number of ordered equations: 2
% Current number of rules: 180
% New rule produced :
% [269] rd(A,i(rd(A,rd(B,i(B))))) <-> i(rd(B,rd(A,rd(B,A))))
% Current number of equations to process: 1839
% Current number of ordered equations: 1
% Current number of rules: 181
% Rule [194] i(rd(A,i(rd(B,rd(A,B))))) <-> rd(A,rd(A,i(rd(B,i(B))))) is composed into 
% [194] i(rd(A,i(rd(B,rd(A,B))))) <-> i(rd(A,rd(A,rd(B,i(B)))))
% New rule produced :
% [270] rd(A,rd(A,i(rd(B,i(B))))) -> i(rd(A,rd(A,rd(B,i(B)))))
% Rule [195] rd(A,rd(A,i(rd(B,i(B))))) <-> i(rd(A,i(rd(B,rd(A,B))))) collapsed.
% Current number of equations to process: 4559
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [271] i(rd(rd(B,i(B)),rd(A,i(A)))) <-> rd(A,rd(B,rd(A,B)))
% Current number of equations to process: 4569
% Current number of ordered equations: 2
% Current number of rules: 182
% New rule produced :
% [272] rd(A,rd(B,rd(A,B))) <-> i(rd(rd(B,i(B)),rd(A,i(A))))
% Current number of equations to process: 4569
% Current number of ordered equations: 1
% Current number of rules: 183
% Rule [272] rd(A,rd(B,rd(A,B))) <-> i(rd(rd(B,i(B)),rd(A,i(A)))) is composed into 
% [272] rd(A,rd(B,rd(A,B))) <-> i(rd(B,i(rd(B,rd(A,i(A))))))
% Rule [263] i(rd(A,rd(B,rd(A,B)))) <-> rd(rd(B,i(B)),rd(A,i(A))) is composed into 
% [263] i(rd(A,rd(B,rd(A,B)))) <-> rd(B,i(rd(B,rd(A,i(A)))))
% Rule [183] rd(A,rd(B,rd(A,B))) <-> rd(rd(A,i(A)),rd(B,i(B))) is composed into 
% [183] rd(A,rd(B,rd(A,B))) <-> rd(A,i(rd(A,rd(B,i(B)))))
% New rule produced :
% [273] rd(rd(A,i(A)),rd(B,i(B))) -> rd(A,i(rd(A,rd(B,i(B)))))
% Rule [184] rd(rd(A,i(A)),rd(B,i(B))) <-> rd(A,rd(B,rd(A,B))) collapsed.
% Rule [264] rd(rd(B,i(B)),rd(A,i(A))) <-> i(rd(A,rd(B,rd(A,B)))) collapsed.
% Rule [271] i(rd(rd(B,i(B)),rd(A,i(A)))) <-> rd(A,rd(B,rd(A,B))) collapsed.
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [274] i(rd(B,rd(rd(A,i(A)),B))) <-> rd(A,i(rd(A,rd(B,i(B)))))
% Current number of equations to process: 4557
% Current number of ordered equations: 2
% Current number of rules: 182
% New rule produced :
% [275] rd(A,i(rd(A,rd(B,i(B))))) <-> i(rd(B,rd(rd(A,i(A)),B)))
% Current number of equations to process: 4557
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [276]
% i(rd(i(rd(A,B)),i(rd(A,i(rd(A,i(rd(i(A),rd(A,B))))))))) -> i(rd(B,rd(A,B)))
% Current number of equations to process: 2369
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced : [277] rd(i(rd(A,i(B))),i(rd(A,i(rd(B,A))))) -> i(A)
% Current number of equations to process: 2739
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced : [278] rd(A,rd(A,rd(A,i(rd(i(A),B))))) -> i(rd(A,rd(A,B)))
% Current number of equations to process: 2975
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced : [279] rd(rd(A,rd(A,B)),rd(rd(C,i(B)),A)) -> i(rd(C,A))
% Current number of equations to process: 3105
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced : [280] rd(rd(rd(A,i(A)),B),rd(B,rd(B,A))) -> i(rd(B,A))
% Current number of equations to process: 3381
% Current number of ordered equations: 1
% Current number of rules: 188
% Rule [275] rd(A,i(rd(A,rd(B,i(B))))) <-> i(rd(B,rd(rd(A,i(A)),B))) is composed into 
% [275] rd(A,i(rd(A,rd(B,i(B))))) <-> i(rd(B,rd(A,rd(A,i(rd(i(A),rd(A,B)))))))
% Rule [260] rd(A,rd(B,rd(A,B))) <-> i(rd(B,rd(rd(A,i(A)),B))) is composed into 
% [260] rd(A,rd(B,rd(A,B))) <-> i(rd(B,rd(A,rd(A,i(rd(i(A),rd(A,B)))))))
% Rule [257] i(rd(A,rd(B,rd(A,B)))) <-> rd(B,rd(rd(A,i(A)),B)) is composed into 
% [257] i(rd(A,rd(B,rd(A,B)))) <-> rd(B,rd(A,rd(A,i(rd(i(A),rd(A,B))))))
% Rule [245] i(rd(A,rd(B,i(B)))) <-> rd(rd(B,i(B)),A) is composed into 
% [245] i(rd(A,rd(B,i(B)))) <-> rd(B,rd(B,i(rd(i(B),rd(B,A)))))
% Rule [244] rd(A,rd(B,i(B))) <-> i(rd(rd(B,i(B)),A)) is composed into 
% [244] rd(A,rd(B,i(B))) <-> i(rd(B,rd(B,i(rd(i(B),rd(B,A))))))
% Rule [143] rd(A,rd(B,A)) <-> rd(rd(A,i(A)),B) is composed into [143]
% rd(A,rd(B,A))
% <->
% rd(A,rd(A,
% i(
% rd(
% i(A),
% rd(A,B)))))
% New rule produced : [281] rd(rd(A,i(A)),B) -> rd(A,rd(A,i(rd(i(A),rd(A,B)))))
% Rule [144] rd(rd(A,i(A)),B) <-> rd(A,rd(B,A)) collapsed.
% Rule [180] rd(i(A),i(rd(rd(A,i(A)),B))) -> rd(A,B) collapsed.
% Rule [182] rd(i(rd(A,B)),rd(rd(B,i(B)),A)) -> i(B) collapsed.
% Rule [193] rd(rd(A,B),i(rd(rd(B,i(B)),A))) -> rd(A,rd(A,B)) collapsed.
% Rule [197] rd(i(A),rd(rd(A,i(A)),B)) -> i(rd(A,rd(i(A),rd(A,B)))) collapsed.
% Rule [216] rd(rd(A,B),rd(rd(A,i(A)),B)) -> rd(B,i(rd(i(B),A))) collapsed.
% Rule [221] rd(A,rd(rd(A,i(A)),B)) -> i(rd(A,rd(A,rd(A,B)))) collapsed.
% Rule [243] i(rd(rd(B,i(B)),A)) <-> rd(A,rd(B,i(B))) collapsed.
% Rule [246] rd(rd(B,i(B)),A) <-> i(rd(A,rd(B,i(B)))) collapsed.
% Rule [258] rd(B,rd(rd(A,i(A)),B)) <-> i(rd(A,rd(B,rd(A,B)))) collapsed.
% Rule [259] i(rd(B,rd(rd(A,i(A)),B))) <-> rd(A,rd(B,rd(A,B))) collapsed.
% Rule [266] i(rd(B,rd(rd(A,i(A)),B))) <-> rd(A,rd(rd(B,i(B)),A)) collapsed.
% Rule [267] rd(A,rd(rd(B,i(B)),A)) <-> i(rd(B,rd(rd(A,i(A)),B))) collapsed.
% Rule [273] rd(rd(A,i(A)),rd(B,i(B))) -> rd(A,i(rd(A,rd(B,i(B))))) collapsed.
% Rule [274] i(rd(B,rd(rd(A,i(A)),B))) <-> rd(A,i(rd(A,rd(B,i(B))))) collapsed.
% Rule [280] rd(rd(rd(A,i(A)),B),rd(B,rd(B,A))) -> i(rd(B,A)) collapsed.
% Current number of equations to process: 3592
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced : [282] rd(rd(A,i(B)),i(rd(i(B),rd(B,i(A))))) -> i(B)
% Current number of equations to process: 3812
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced : [283] rd(i(rd(A,i(rd(B,i(A))))),rd(i(B),A)) -> i(A)
% Current number of equations to process: 4092
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced : [284] rd(rd(A,rd(A,i(B))),rd(rd(C,B),A)) -> i(rd(C,A))
% Current number of equations to process: 4377
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [285] rd(i(A),rd(B,rd(A,rd(A,i(rd(i(A),rd(A,B))))))) -> rd(A,rd(B,i(B)))
% Current number of equations to process: 4668
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [286] rd(rd(A,rd(A,B)),rd(B,rd(B,i(rd(i(B),rd(B,A)))))) -> i(rd(B,A))
% Current number of equations to process: 4923
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced : [287] rd(rd(i(A),i(B)),i(rd(i(B),rd(B,A)))) -> i(B)
% Current number of equations to process: 1446
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [288] rd(rd(A,rd(A,i(rd(i(A),rd(A,B))))),rd(B,rd(B,A))) -> i(rd(B,A))
% Current number of equations to process: 1733
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced : [289] rd(i(rd(A,i(rd(B,i(B))))),rd(i(B),A)) -> i(B)
% Current number of equations to process: 1992
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [290] rd(rd(B,A),i(rd(B,A))) -> i(rd(A,rd(B,rd(i(B),i(A)))))
% Rule [212] i(rd(rd(B,A),i(rd(B,A)))) -> rd(A,rd(B,rd(i(B),i(A)))) collapsed.
% Current number of equations to process: 2211
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced : [291] rd(i(rd(A,i(rd(A,B)))),rd(B,A)) -> i(rd(B,rd(B,A)))
% Current number of equations to process: 2487
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [292] rd(A,rd(A,rd(i(B),A))) -> i(rd(A,i(rd(A,i(rd(B,A))))))
% Rule [227] i(rd(A,rd(A,rd(i(B),A)))) -> rd(A,i(rd(A,i(rd(B,A))))) collapsed.
% Current number of equations to process: 2772
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [293] rd(A,i(rd(A,i(rd(i(B),A))))) -> i(rd(A,rd(A,rd(B,A))))
% Current number of equations to process: 2938
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [294]
% i(rd(B,rd(B,i(rd(i(B),rd(B,rd(A,i(A)))))))) <->
% rd(A,rd(B,rd(B,i(rd(i(B),rd(B,A))))))
% Current number of equations to process: 3118
% Current number of ordered equations: 2
% Current number of rules: 184
% New rule produced :
% [295]
% rd(A,rd(B,rd(B,i(rd(i(B),rd(B,A)))))) <->
% i(rd(B,rd(B,i(rd(i(B),rd(B,rd(A,i(A))))))))
% Current number of equations to process: 3118
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [296] i(rd(A,i(rd(A,rd(B,i(B)))))) <-> rd(B,rd(A,rd(A,i(rd(i(A),rd(A,B))))))
% Current number of equations to process: 3648
% Current number of ordered equations: 2
% Current number of rules: 186
% New rule produced :
% [297] rd(B,rd(A,rd(A,i(rd(i(A),rd(A,B)))))) <-> i(rd(A,i(rd(A,rd(B,i(B))))))
% Current number of equations to process: 3648
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced : [298] rd(i(rd(A,B)),i(rd(A,i(rd(i(B),A))))) -> i(A)
% Current number of equations to process: 4161
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [299] i(rd(rd(i(C),rd(A,B)),rd(A,rd(A,B)))) -> i(rd(rd(i(C),B),rd(A,B)))
% Current number of equations to process: 4380
% Current number of ordered equations: 2
% Current number of rules: 189
% New rule produced :
% [300] i(rd(rd(i(B),C),rd(A,B))) <-> i(rd(i(A),rd(rd(A,B),i(rd(C,rd(A,B))))))
% Current number of equations to process: 4380
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [301] i(rd(i(A),rd(rd(A,B),i(rd(C,rd(A,B)))))) <-> i(rd(rd(i(B),C),rd(A,B)))
% Current number of equations to process: 4380
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [302] i(rd(i(rd(B,i(B))),rd(A,B))) <-> rd(A,i(B))
% Current number of equations to process: 4481
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced : [303] rd(A,i(B)) <-> i(rd(i(rd(B,i(B))),rd(A,B)))
% Current number of equations to process: 4481
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [304] i(rd(A,i(B))) <-> rd(i(rd(B,i(B))),rd(A,B))
% Current number of equations to process: 2324
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced : [305] rd(i(rd(B,i(B))),rd(A,B)) <-> i(rd(A,i(B)))
% Current number of equations to process: 2324
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [306] rd(i(rd(A,B)),i(rd(A,i(B)))) -> rd(B,i(B))
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [307]
% i(rd(i(rd(i(B),i(C))),i(rd(i(B),A)))) <->
% i(rd(rd(C,i(rd(i(C),rd(i(C),rd(i(C),B))))),i(rd(i(rd(i(B),i(C))),A))))
% Current number of equations to process: 3736
% Current number of ordered equations: 3
% Current number of rules: 197
% New rule produced :
% [308]
% i(rd(i(rd(i(B),i(A))),i(rd(i(C),B)))) <->
% rd(A,rd(A,i(rd(i(A),rd(i(rd(i(B),i(A))),rd(i(rd(i(B),i(A))),C))))))
% Current number of equations to process: 3736
% Current number of ordered equations: 2
% Current number of rules: 198
% New rule produced :
% [309]
% i(rd(rd(C,i(rd(i(C),rd(i(C),rd(i(C),B))))),i(rd(i(rd(i(B),i(C))),A)))) <->
% i(rd(i(rd(i(B),i(C))),i(rd(i(B),A))))
% Current number of equations to process: 3736
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [310]
% rd(A,rd(A,i(rd(i(A),rd(i(rd(i(B),i(A))),rd(i(rd(i(B),i(A))),C)))))) <->
% i(rd(i(rd(i(B),i(A))),i(rd(i(C),B))))
% Current number of equations to process: 3736
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [311] rd(A,i(rd(A,i(rd(i(A),rd(i(A),i(rd(i(B),i(A))))))))) -> i(rd(i(A),B))
% Current number of equations to process: 1538
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [312]
% i(rd(i(rd(A,C)),rd(rd(A,C),i(rd(i(rd(A,C)),rd(rd(A,B),C)))))) ->
% i(rd(C,rd(C,i(B))))
% Current number of equations to process: 1826
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [313]
% i(rd(rd(i(A),B),i(rd(rd(i(A),B),i(rd(i(rd(i(A),B)),rd(i(A),rd(B,C)))))))) ->
% rd(i(A),rd(i(A),C))
% Current number of equations to process: 2555
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [314] rd(rd(B,i(rd(i(B),A))),rd(A,B)) -> i(rd(A,rd(i(A),i(B))))
% Current number of equations to process: 3288
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [315] rd(rd(i(A),B),rd(B,i(rd(A,B)))) -> rd(i(A),rd(B,i(A)))
% Current number of equations to process: 3559
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [316] rd(i(rd(A,B)),i(rd(A,i(rd(B,A))))) -> rd(B,rd(A,B))
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [317] rd(rd(A,i(rd(B,A))),rd(B,rd(A,B))) -> rd(A,B)
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [318] rd(i(rd(A,B)),rd(A,rd(A,i(B)))) -> rd(B,rd(A,B))
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [319] rd(rd(A,B),i(rd(B,i(rd(B,A))))) -> rd(A,i(rd(B,A)))
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [320] i(rd(A,rd(i(A),rd(B,i(A))))) <-> rd(i(A),rd(A,rd(i(A),B)))
% Current number of equations to process: 1013
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [321] rd(i(A),rd(A,rd(i(A),B))) <-> i(rd(A,rd(i(A),rd(B,i(A)))))
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [322] rd(rd(A,rd(B,C)),rd(B,rd(B,C))) -> rd(rd(A,C),rd(B,C))
% Rule [123] rd(rd(A,rd(B,A)),rd(B,rd(B,A))) -> i(rd(B,A)) collapsed.
% Rule [299] i(rd(rd(i(C),rd(A,B)),rd(A,rd(A,B)))) -> i(rd(rd(i(C),B),rd(A,B)))
% collapsed.
% Current number of equations to process: 1632
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [323] rd(rd(A,i(B)),i(rd(B,i(rd(i(B),A))))) -> i(rd(A,rd(A,i(B))))
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [324] rd(i(rd(A,i(A))),i(rd(A,i(rd(A,i(A)))))) -> A
% Current number of equations to process: 2333
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [325] i(rd(i(rd(A,i(A))),i(rd(A,B)))) -> i(rd(i(A),B))
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [326] rd(i(rd(A,i(A))),i(rd(A,B))) -> rd(i(A),B)
% Rule [265] rd(i(rd(A,i(A))),i(rd(A,rd(B,A)))) -> i(B) collapsed.
% Rule [324] rd(i(rd(A,i(A))),i(rd(A,i(rd(A,i(A)))))) -> A collapsed.
% Rule [325] i(rd(i(rd(A,i(A))),i(rd(A,B)))) -> i(rd(i(A),B)) collapsed.
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 211
% Rule [228] rd(B,rd(A,i(rd(B,i(B))))) <-> rd(i(A),rd(A,i(rd(B,A)))) is composed into 
% [228] rd(B,rd(A,i(rd(B,i(B))))) <-> rd(A,i(rd(i(A),rd(A,i(B)))))
% Rule [199] rd(A,rd(A,i(rd(B,i(A))))) <-> rd(i(A),rd(A,i(rd(B,A)))) is composed into 
% [199] rd(A,rd(A,i(rd(B,i(A))))) <-> rd(A,i(rd(i(A),rd(A,i(B)))))
% Rule [103] rd(i(B),A) <-> rd(i(A),rd(A,i(rd(B,A)))) is composed into 
% [103] rd(i(B),A) <-> rd(A,i(rd(i(A),rd(A,i(B)))))
% New rule produced :
% [327] rd(i(A),rd(A,i(rd(B,A)))) -> rd(A,i(rd(i(A),rd(A,i(B)))))
% Rule [77] i(rd(i(B),rd(B,i(rd(A,B))))) <-> i(rd(i(A),B)) collapsed.
% Rule [95] rd(i(A),rd(A,i(rd(i(B),A)))) -> rd(B,A) collapsed.
% Rule [200] rd(i(A),rd(A,i(rd(B,A)))) <-> rd(A,rd(A,i(rd(B,i(A))))) collapsed.
% Rule [229] rd(i(A),rd(A,i(rd(B,A)))) <-> rd(B,rd(A,i(rd(B,i(B))))) collapsed.
% Current number of equations to process: 2799
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [328] i(rd(A,rd(i(B),A))) <-> rd(i(A),rd(A,i(rd(A,rd(A,B)))))
% Current number of equations to Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------