TSTP Solution File: GRP681-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP681-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n140.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 00:23:57 EDT 2014

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

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP681-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n140.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 00:54:18 CDT 2014
% % CPUTime  : 300.09 
% Processing problem /tmp/CiME_5458_n140.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a,op_d,op_c,unit : constant;  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,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C);
% mult(op_c,A) = mult(A,op_c);
% mult(op_d,A) = mult(A,op_d);
% ";
% 
% let s1 = status F "
% a lr_lex;
% op_d lr_lex;
% op_c lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% ld > mult > rd > unit > op_c > op_d > a";
% 
% let s2 = status F "
% a mul;
% op_d mul;
% op_c mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% ld > mult > rd > unit = op_c = op_d = a";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(mult(mult(op_c,op_c),op_d),a) = mult(a,mult(mult(op_c,op_c),op_d));"
% ;
% (*
% 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,mult(B,mult(A,C))) =
% mult(mult(A,mult(B,A)),C),
% mult(op_c,A) = mult(A,op_c),
% mult(op_d,A) = mult(A,op_d) } (9 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(mult(op_c,op_c),op_d),a) =
% mult(a,mult(mult(op_c,op_c),op_d)) }
% (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: 10
% 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: 9
% Current number of rules: 2
% New rule produced : [3] mult(A,op_c) <-> mult(op_c,A)
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 3
% New rule produced : [4] mult(A,op_d) <-> mult(op_d,A)
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(op_d,mult(op_c,op_c)),a) = mult(a,mult(op_d,mult(op_c,op_c)))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 4
% New rule produced : [5] mult(op_c,A) <-> mult(A,op_c)
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 5
% New rule produced : [6] mult(op_d,A) <-> mult(A,op_d)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 6
% New rule produced : [7] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 7
% New rule produced : [8] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 8
% New rule produced : [9] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 9
% New rule produced : [10] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [11] mult(mult(A,mult(B,A)),C) -> mult(A,mult(B,mult(A,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] ld(unit,A) -> A
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] ld(A,A) -> unit
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] rd(mult(op_c,A),op_c) -> A
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] rd(mult(op_d,A),op_d) -> A
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] rd(mult(A,op_c),A) -> op_c
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] rd(mult(A,op_d),A) -> op_d
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] rd(A,ld(B,A)) -> B
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] mult(op_c,rd(A,op_c)) -> A
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [22] mult(op_d,rd(A,op_d)) -> A
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [23] ld(A,mult(op_c,A)) -> op_c
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [24] ld(A,mult(op_d,A)) -> op_d
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [25] ld(op_c,mult(A,op_c)) -> A
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [26] ld(op_d,mult(A,op_d)) -> A
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [27] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [28] mult(mult(A,A),B) -> mult(A,mult(A,B))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [29] ld(op_c,A) -> rd(A,op_c)
% Rule [25] ld(op_c,mult(A,op_c)) -> A collapsed.
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [30] ld(op_d,A) -> rd(A,op_d)
% Rule [26] ld(op_d,mult(A,op_d)) -> A collapsed.
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [31] rd(A,rd(A,op_c)) -> op_c
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [32] rd(A,rd(A,op_d)) -> op_d
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [33] mult(A,mult(A,op_c)) <-> mult(op_c,mult(A,A))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced : [34] mult(op_c,mult(A,A)) <-> mult(A,mult(A,op_c))
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [35] mult(A,mult(A,op_d)) <-> mult(op_d,mult(A,A))
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [36] mult(op_d,mult(A,A)) <-> mult(A,mult(A,op_d))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [37] rd(mult(A,mult(A,B)),B) -> mult(A,A)
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [38] mult(A,mult(op_c,A)) <-> mult(op_c,mult(A,A))
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced : [39] mult(op_c,mult(A,A)) <-> mult(A,mult(op_c,A))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [40] ld(A,mult(op_c,mult(A,A))) -> mult(A,op_c)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [41] mult(A,mult(op_d,A)) <-> mult(op_d,mult(A,A))
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [42] mult(op_d,mult(A,A)) <-> mult(A,mult(op_d,A))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [43] ld(A,mult(op_d,mult(A,A))) -> mult(A,op_d)
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [44] rd(mult(A,mult(op_c,A)),op_c) -> mult(A,A)
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [45] rd(mult(A,mult(op_d,A)),op_d) -> mult(A,A)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [46] rd(mult(op_c,mult(A,op_c)),A) -> mult(op_c,op_c)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [47] rd(mult(op_d,mult(A,op_d)),A) -> mult(op_d,op_d)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [48] rd(mult(A,B),ld(A,B)) -> mult(A,A)
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [49] rd(mult(op_c,A),rd(A,op_c)) <-> mult(op_c,op_c)
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 47
% Rule [49] rd(mult(op_c,A),rd(A,op_c)) <-> mult(op_c,op_c) is composed into 
% [49] rd(mult(op_c,A),rd(A,op_c)) <-> rd(mult(op_c,a),rd(a,op_c))
% Rule [46] rd(mult(op_c,mult(A,op_c)),A) -> mult(op_c,op_c) is composed into 
% [46] rd(mult(op_c,mult(A,op_c)),A) -> rd(mult(op_c,a),rd(a,op_c))
% New rule produced : [50] mult(op_c,op_c) <-> rd(mult(op_c,A),rd(A,op_c))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(op_d,rd(mult(a,op_c),rd(a,op_c))),a) = mult(a,mult(op_d,rd(
% mult(a,op_c),
% rd(a,op_c))))
% 
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [51] rd(mult(op_d,A),rd(A,op_d)) <-> mult(op_d,op_d)
% Current number of equations to process: 44
% Current number of ordered equations: 1
% Current number of rules: 49
% Rule [51] rd(mult(op_d,A),rd(A,op_d)) <-> mult(op_d,op_d) is composed into 
% [51] rd(mult(op_d,A),rd(A,op_d)) <-> rd(mult(op_d,a),rd(a,op_d))
% Rule [47] rd(mult(op_d,mult(A,op_d)),A) -> mult(op_d,op_d) is composed into 
% [47] rd(mult(op_d,mult(A,op_d)),A) -> rd(mult(op_d,a),rd(a,op_d))
% New rule produced : [52] mult(op_d,op_d) <-> rd(mult(op_d,A),rd(A,op_d))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [53] rd(A,ld(A,unit)) -> mult(A,A)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [54] rd(mult(op_c,A),ld(A,op_c)) -> mult(A,A)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [55] rd(mult(op_d,A),ld(A,op_d)) -> mult(A,A)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [56] rd(A,ld(B,ld(B,A))) -> mult(B,B)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [57] ld(mult(A,A),mult(A,B)) -> ld(A,B)
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [58] ld(mult(A,A),A) -> ld(A,unit)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [59] mult(B,mult(B,ld(mult(B,B),A))) -> A
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [60] rd(mult(op_c,mult(A,A)),mult(A,op_c)) -> A
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [61] ld(mult(A,A),mult(op_c,A)) -> ld(A,op_c)
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [62] ld(mult(A,A),mult(op_d,A)) -> ld(A,op_d)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [63] ld(mult(A,A),B) -> ld(A,ld(A,B))
% Rule [57] ld(mult(A,A),mult(A,B)) -> ld(A,B) collapsed.
% Rule [58] ld(mult(A,A),A) -> ld(A,unit) collapsed.
% Rule [59] mult(B,mult(B,ld(mult(B,B),A))) -> A collapsed.
% Rule [61] ld(mult(A,A),mult(op_c,A)) -> ld(A,op_c) collapsed.
% Rule [62] ld(mult(A,A),mult(op_d,A)) -> ld(A,op_d) collapsed.
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [64] rd(mult(A,mult(A,op_c)),mult(A,A)) -> op_c
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [65] rd(mult(op_d,mult(A,A)),mult(A,op_d)) -> A
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [66] rd(mult(A,mult(A,op_d)),mult(A,A)) -> op_d
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [67] rd(mult(op_c,mult(A,A)),mult(op_c,A)) -> A
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [68] rd(mult(A,mult(op_c,A)),mult(A,A)) -> op_c
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [69] rd(mult(op_d,mult(A,A)),mult(op_d,A)) -> A
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [70] rd(mult(A,mult(op_d,A)),mult(A,A)) -> op_d
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [71] rd(mult(a,op_c),rd(a,op_c)) -> rd(op_c,rd(unit,op_c))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(mult(op_d,rd(op_c,rd(unit,op_c))),a) = mult(a,mult(op_d,rd(op_c,
% rd(unit,op_c))))
% 
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [72] rd(rd(mult(op_c,A),rd(A,op_c)),op_c) -> op_c
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [73] rd(mult(a,op_d),rd(a,op_d)) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [74] rd(rd(mult(op_d,A),rd(A,op_d)),op_d) -> op_d
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [75] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [76] rd(mult(A,mult(op_c,A)),mult(A,op_c)) -> A
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [77] ld(rd(op_c,rd(unit,op_c)),A) -> rd(rd(A,op_c),op_c)
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [78] ld(rd(op_d,rd(unit,op_d)),A) -> rd(rd(A,op_d),op_d)
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [79] rd(mult(A,mult(op_d,A)),mult(A,op_d)) -> A
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [80] rd(mult(A,mult(A,op_c)),mult(op_c,A)) -> A
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [81] rd(mult(A,mult(A,op_d)),mult(op_d,A)) -> A
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [82] rd(rd(op_c,rd(unit,op_c)),op_c) -> op_c
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [83] rd(rd(mult(op_d,op_c),rd(op_d,op_c)),op_c) -> op_c
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [84] rd(rd(mult(A,op_c),rd(A,op_c)),op_c) -> op_c
% Rule [83] rd(rd(mult(op_d,op_c),rd(op_d,op_c)),op_c) -> op_c collapsed.
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 76
% Rule [50] mult(op_c,op_c) <-> rd(mult(op_c,A),rd(A,op_c)) is composed into 
% [50] mult(op_c,op_c) -> rd(op_c,rd(unit,op_c))
% Rule [46] rd(mult(op_c,mult(A,op_c)),A) -> rd(mult(op_c,a),rd(a,op_c)) is composed into 
% [46] rd(mult(op_c,mult(A,op_c)),A) -> rd(op_c,rd(unit,op_c))
% New rule produced :
% [85] rd(mult(op_c,A),rd(A,op_c)) -> rd(op_c,rd(unit,op_c))
% Rule [49] rd(mult(op_c,A),rd(A,op_c)) <-> rd(mult(op_c,a),rd(a,op_c))
% collapsed.
% Rule [72] rd(rd(mult(op_c,A),rd(A,op_c)),op_c) -> op_c collapsed.
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [86] rd(rd(op_d,rd(unit,op_d)),op_d) -> op_d
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [87] rd(rd(mult(A,op_d),rd(A,op_d)),op_d) -> op_d
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 77
% Rule [52] mult(op_d,op_d) <-> rd(mult(op_d,A),rd(A,op_d)) is composed into 
% [52] mult(op_d,op_d) -> rd(op_d,rd(unit,op_d))
% Rule [47] rd(mult(op_d,mult(A,op_d)),A) -> rd(mult(op_d,a),rd(a,op_d)) is composed into 
% [47] rd(mult(op_d,mult(A,op_d)),A) -> rd(op_d,rd(unit,op_d))
% New rule produced :
% [88] rd(mult(op_d,A),rd(A,op_d)) -> rd(op_d,rd(unit,op_d))
% Rule [51] rd(mult(op_d,A),rd(A,op_d)) <-> rd(mult(op_d,a),rd(a,op_d))
% collapsed.
% Rule [74] rd(rd(mult(op_d,A),rd(A,op_d)),op_d) -> op_d collapsed.
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [89] rd(A,rd(rd(A,op_c),op_c)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [90] rd(A,rd(rd(A,op_d),op_d)) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [91] rd(mult(A,op_c),rd(A,op_c)) -> rd(op_c,rd(unit,op_c))
% Rule [71] rd(mult(a,op_c),rd(a,op_c)) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [84] rd(rd(mult(A,op_c),rd(A,op_c)),op_c) -> op_c collapsed.
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [92] rd(mult(A,op_d),rd(A,op_d)) -> rd(op_d,rd(unit,op_d))
% Rule [73] rd(mult(a,op_d),rd(a,op_d)) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [87] rd(rd(mult(A,op_d),rd(A,op_d)),op_d) -> op_d collapsed.
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [93] mult(A,mult(B,mult(A,op_c))) <-> mult(op_c,mult(A,mult(B,A)))
% Current number of equations to process: 222
% Current number of ordered equations: 2
% Current number of rules: 77
% New rule produced :
% [94] mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(A,op_c)))
% Current number of equations to process: 222
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [95] mult(mult(op_c,mult(op_c,A)),B) -> mult(op_c,mult(A,mult(op_c,B)))
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [96] mult(rd(op_c,rd(unit,op_c)),A) -> mult(op_c,mult(op_c,A))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [97] mult(A,mult(B,mult(A,op_d))) <-> mult(op_d,mult(A,mult(B,A)))
% Current number of equations to process: 308
% Current number of ordered equations: 2
% Current number of rules: 81
% New rule produced :
% [98] mult(op_d,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(A,op_d)))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [99] mult(mult(op_d,mult(op_d,A)),B) -> mult(op_d,mult(A,mult(op_d,B)))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [100] mult(rd(op_d,rd(unit,op_d)),A) -> mult(op_d,mult(op_d,A))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [101] mult(op_c,rd(op_d,rd(unit,op_d))) -> mult(op_d,mult(op_d,op_c))
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [102] mult(mult(A,mult(A,op_c)),B) -> mult(A,mult(op_c,mult(A,B)))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [103] mult(mult(A,mult(A,op_d)),B) -> mult(A,mult(op_d,mult(A,B)))
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [104] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B)
% Rule [75] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A) collapsed.
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [105] mult(mult(op_c,mult(A,A)),B) -> mult(A,mult(op_c,mult(A,B)))
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [106] mult(mult(op_d,mult(A,A)),B) -> mult(A,mult(op_d,mult(A,B)))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [107] rd(A,ld(rd(A,B),B)) -> rd(mult(rd(A,B),A),B)
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [108] rd(rd(rd(unit,A),A),rd(unit,A)) -> rd(unit,A)
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [109] ld(rd(unit,A),rd(rd(unit,A),A)) -> rd(unit,A)
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [110] mult(A,mult(B,mult(op_c,A))) <-> mult(op_c,mult(A,mult(B,A)))
% Current number of equations to process: 580
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [111] mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(op_c,A)))
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [112] mult(A,mult(op_c,mult(A,A))) <-> mult(op_c,mult(A,mult(A,A)))
% Current number of equations to process: 661
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [113] mult(op_c,mult(A,mult(A,A))) <-> mult(A,mult(op_c,mult(A,A)))
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [114]
% mult(op_c,mult(op_d,mult(op_d,A))) <-> mult(op_d,mult(A,mult(op_d,op_c)))
% Current number of equations to process: 693
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [115]
% mult(op_d,mult(A,mult(op_d,op_c))) <-> mult(op_c,mult(op_d,mult(op_d,A)))
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [116] mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(A,mult(A,op_c)))
% Current number of equations to process: 730
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [117] mult(op_c,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(A,op_c)))
% Current number of equations to process: 730
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [118] mult(A,mult(op_d,mult(A,op_c))) <-> mult(op_c,mult(A,mult(A,op_d)))
% Current number of equations to process: 744
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [119] mult(op_c,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(A,op_c)))
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [120] mult(rd(A,op_c),mult(op_c,A)) -> mult(op_c,mult(rd(A,op_c),A))
% Current number of equations to process: 769
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [121] mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(op_c,mult(A,A)))
% Current number of equations to process: 788
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [122] mult(op_c,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(A,op_c)))
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [123] mult(A,mult(op_d,mult(A,op_c))) <-> mult(op_c,mult(op_d,mult(A,A)))
% Current number of equations to process: 813
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [124] mult(op_c,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(A,op_c)))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [125]
% mult(op_c,mult(A,mult(op_d,op_c))) <-> mult(op_d,mult(op_c,mult(op_c,A)))
% Current number of equations to process: 850
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [126]
% mult(op_d,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(A,mult(op_d,op_c)))
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 109
% Rule [126]
% mult(op_d,mult(op_c,mult(op_c,A))) <->
% mult(op_c,mult(A,mult(op_d,op_c))) is composed into [126]
% mult(op_d,mult(op_c,
% mult(op_c,A)))
% <->
% mult(op_d,mult(op_c,
% mult(A,op_c)))
% New rule produced :
% [127] mult(A,mult(B,mult(op_d,A))) <-> mult(op_d,mult(A,mult(B,A)))
% Rule
% [125]
% mult(op_c,mult(A,mult(op_d,op_c))) <-> mult(op_d,mult(op_c,mult(op_c,A)))
% collapsed.
% Current number of equations to process: 904
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [128] mult(op_d,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(op_d,A)))
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [129] mult(A,mult(op_d,mult(A,A))) <-> mult(op_d,mult(A,mult(A,A)))
% Current number of equations to process: 1013
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [130] mult(op_d,mult(A,mult(A,A))) <-> mult(A,mult(op_d,mult(A,A)))
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [131] mult(A,mult(op_c,mult(A,op_d))) <-> mult(op_d,mult(A,mult(A,op_c)))
% Current number of equations to process: 1046
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [132] mult(op_d,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(A,op_d)))
% Current number of equations to process: 1046
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [133] mult(A,mult(op_d,mult(A,op_d))) <-> mult(op_d,mult(A,mult(A,op_d)))
% Current number of equations to process: 1065
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [134] mult(op_d,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(A,op_d)))
% Current number of equations to process: 1065
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [135] mult(rd(A,op_d),mult(op_d,A)) -> mult(op_d,mult(rd(A,op_d),A))
% Current number of equations to process: 1080
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [136] mult(A,mult(op_c,mult(A,op_d))) <-> mult(op_d,mult(op_c,mult(A,A)))
% Current number of equations to process: 1099
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [137] mult(op_d,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(A,op_d)))
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [138] mult(A,mult(op_d,mult(A,op_d))) <-> mult(op_d,mult(op_d,mult(A,A)))
% Current number of equations to process: 1129
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [139] mult(op_d,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(A,op_d)))
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [140] mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(A,mult(A,op_c)))
% Current number of equations to process: 1142
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [141] mult(op_c,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(op_c,A)))
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [142] mult(A,mult(op_d,mult(op_c,A))) <-> mult(op_c,mult(A,mult(A,op_d)))
% Current number of equations to process: 1180
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [143] mult(op_c,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(op_c,A)))
% Current number of equations to process: 1180
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [144] mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(op_c,mult(A,A)))
% Current number of equations to process: 1224
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [145] mult(op_c,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(op_c,A)))
% Current number of equations to process: 1224
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [146] mult(A,mult(op_d,mult(op_c,A))) <-> mult(op_c,mult(op_d,mult(A,A)))
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [147] mult(op_c,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(op_c,A)))
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [148]
% mult(rd(op_d,op_c),mult(op_d,op_c)) -> mult(op_c,mult(op_d,rd(op_d,op_c)))
% Current number of equations to process: 1330
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [149] mult(rd(A,op_c),mult(A,op_c)) -> mult(op_c,mult(rd(A,op_c),A))
% Rule
% [148]
% mult(rd(op_d,op_c),mult(op_d,op_c)) -> mult(op_c,mult(op_d,rd(op_d,op_c)))
% collapsed.
% Current number of equations to process: 1337
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [150] mult(A,mult(op_c,mult(op_d,A))) <-> mult(op_d,mult(A,mult(A,op_c)))
% Current number of equations to process: 1339
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [151] mult(op_d,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(op_d,A)))
% Current number of equations to process: 1339
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [152] mult(A,mult(op_d,mult(op_d,A))) <-> mult(op_d,mult(A,mult(A,op_d)))
% Current number of equations to process: 1391
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [153] mult(op_d,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(op_d,A)))
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [154] mult(A,mult(op_c,mult(op_d,A))) <-> mult(op_d,mult(op_c,mult(A,A)))
% Current number of equations to process: 1433
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [155] mult(op_d,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(op_d,A)))
% Current number of equations to process: 1433
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [156] mult(A,mult(op_d,mult(op_d,A))) <-> mult(op_d,mult(op_d,mult(A,A)))
% Current number of equations to process: 1499
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [157] mult(op_d,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(op_d,A)))
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [158] mult(rd(A,op_d),mult(A,op_d)) -> mult(op_d,mult(rd(A,op_d),A))
% Current number of equations to process: 1558
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [159] rd(mult(A,mult(B,mult(A,C))),C) -> mult(A,mult(B,A))
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [160] mult(A,rd(op_c,rd(unit,op_c))) <-> mult(op_c,mult(A,op_c))
% Current number of equations to process: 1561
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [161] mult(op_c,mult(A,op_c)) <-> mult(A,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [162] mult(A,rd(op_d,rd(unit,op_d))) <-> mult(op_d,mult(A,op_d))
% Rule [101] mult(op_c,rd(op_d,rd(unit,op_d))) -> mult(op_d,mult(op_d,op_c))
% collapsed.
% Current number of equations to process: 1593
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [163] mult(op_d,mult(A,op_d)) <-> mult(A,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 1593
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [164] ld(A,mult(op_c,mult(A,op_c))) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [165] mult(A,rd(op_c,rd(unit,op_c))) <-> mult(op_c,mult(op_c,A))
% Current number of equations to process: 1746
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [166] mult(op_c,mult(op_c,A)) <-> mult(A,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [167] ld(A,mult(op_d,mult(A,op_d))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [168] mult(A,rd(op_d,rd(unit,op_d))) <-> mult(op_d,mult(op_d,A))
% Current number of equations to process: 1796
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [169] mult(op_d,mult(op_d,A)) <-> mult(A,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 1796
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [170] ld(A,mult(op_c,mult(op_c,A))) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [171] ld(A,mult(op_d,mult(op_d,A))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [172] ld(rd(A,op_c),mult(op_c,A)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [173] ld(rd(A,op_d),mult(op_d,A)) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 1965
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [174] ld(rd(unit,op_c),op_c) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [175] ld(rd(op_d,op_c),mult(op_d,op_c)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [176] ld(rd(A,op_c),mult(A,op_c)) -> rd(op_c,rd(unit,op_c))
% Rule [175] ld(rd(op_d,op_c),mult(op_d,op_c)) -> rd(op_c,rd(unit,op_c))
% collapsed.
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [177] ld(rd(rd(A,op_c),op_c),A) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 1994
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [178] ld(rd(unit,op_d),op_d) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [179] ld(rd(A,op_d),mult(A,op_d)) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [180] ld(rd(rd(A,op_d),op_d),A) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [181] rd(op_c,rd(op_c,rd(unit,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [182] rd(rd(unit,op_c),op_c) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [77] ld(rd(op_c,rd(unit,op_c)),A) -> rd(rd(A,op_c),op_c) is composed into 
% [77] ld(rd(op_c,rd(unit,op_c)),A) -> rd(A,rd(op_c,rd(unit,op_c)))
% New rule produced : [183] rd(rd(A,op_c),op_c) -> rd(A,rd(op_c,rd(unit,op_c)))
% Rule [89] rd(A,rd(rd(A,op_c),op_c)) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [177] ld(rd(rd(A,op_c),op_c),A) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [182] rd(rd(unit,op_c),op_c) -> rd(unit,rd(op_c,rd(unit,op_c)))
% collapsed.
% Current number of equations to process: 2029
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [184] rd(op_d,rd(op_d,rd(unit,op_d))) -> rd(unit,op_d)
% Current number of equations to process: 2030
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [185] rd(rd(unit,op_d),op_d) -> rd(unit,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2030
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [78] ld(rd(op_d,rd(unit,op_d)),A) -> rd(rd(A,op_d),op_d) is composed into 
% [78] ld(rd(op_d,rd(unit,op_d)),A) -> rd(A,rd(op_d,rd(unit,op_d)))
% New rule produced : [186] rd(rd(A,op_d),op_d) -> rd(A,rd(op_d,rd(unit,op_d)))
% Rule [90] rd(A,rd(rd(A,op_d),op_d)) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [180] ld(rd(rd(A,op_d),op_d),A) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [185] rd(rd(unit,op_d),op_d) -> rd(unit,rd(op_d,rd(unit,op_d)))
% collapsed.
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [187] rd(mult(A,rd(op_c,rd(unit,op_c))),op_c) -> mult(A,op_c)
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [188] rd(mult(A,rd(op_d,rd(unit,op_d))),op_d) -> mult(A,op_d)
% Current number of equations to process: 2082
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [189] rd(mult(op_c,A),rd(op_c,rd(unit,op_c))) -> rd(A,op_c)
% Current number of equations to process: 2079
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [190] rd(mult(op_d,A),rd(op_d,rd(unit,op_d))) -> rd(A,op_d)
% Current number of equations to process: 2078
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [191] rd(mult(A,op_c),rd(op_c,rd(unit,op_c))) -> rd(A,op_c)
% Current number of equations to process: 2077
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [192] rd(mult(A,op_d),rd(op_d,rd(unit,op_d))) -> rd(A,op_d)
% Current number of equations to process: 2076
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [193] mult(op_c,rd(A,rd(op_c,rd(unit,op_c)))) -> rd(A,op_c)
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [194] mult(op_d,rd(A,rd(op_d,rd(unit,op_d)))) -> rd(A,op_d)
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [195] mult(mult(A,B),C) -> mult(A,mult(rd(B,A),mult(A,C)))
% Rule [11] mult(mult(A,mult(B,A)),C) -> mult(A,mult(B,mult(A,C))) collapsed.
% Rule [28] mult(mult(A,A),B) -> mult(A,mult(A,B)) collapsed.
% Rule [95] mult(mult(op_c,mult(op_c,A)),B) -> mult(op_c,mult(A,mult(op_c,B)))
% collapsed.
% Rule [99] mult(mult(op_d,mult(op_d,A)),B) -> mult(op_d,mult(A,mult(op_d,B)))
% collapsed.
% Rule [102] mult(mult(A,mult(A,op_c)),B) -> mult(A,mult(op_c,mult(A,B)))
% collapsed.
% Rule [103] mult(mult(A,mult(A,op_d)),B) -> mult(A,mult(op_d,mult(A,B)))
% collapsed.
% Rule [105] mult(mult(op_c,mult(A,A)),B) -> mult(A,mult(op_c,mult(A,B)))
% collapsed.
% Rule [106] mult(mult(op_d,mult(A,A)),B) -> mult(A,mult(op_d,mult(A,B)))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_d,mult(rd(rd(op_c,rd(unit,op_c)),op_d),mult(a,op_d))) = mult(a,
% mult(op_d,
% rd(op_c,
% rd(unit,op_c))))
% 
% Current number of equations to process: 2151
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [196] mult(A,mult(rd(unit,A),mult(A,B))) -> mult(A,B)
% Current number of equations to process: 2189
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [197] mult(rd(unit,B),mult(B,A)) -> A
% Rule [196] mult(A,mult(rd(unit,A),mult(A,B))) -> mult(A,B) collapsed.
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [198] mult(rd(unit,rd(unit,A)),B) -> mult(A,B)
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [199] ld(rd(unit,A),B) -> mult(A,B)
% Rule [109] ld(rd(unit,A),rd(rd(unit,A),A)) -> rd(unit,A) collapsed.
% Rule [174] ld(rd(unit,op_c),op_c) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [178] ld(rd(unit,op_d),op_d) -> rd(op_d,rd(unit,op_d)) collapsed.
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [200] mult(A,rd(rd(unit,A),A)) -> rd(unit,A)
% Current number of equations to process: 2267
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [201] rd(A,mult(B,A)) -> rd(unit,B)
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [202] ld(A,B) -> mult(rd(unit,A),B)
% Rule [8] mult(A,ld(A,B)) -> B collapsed.
% Rule [10] ld(A,mult(A,B)) -> B collapsed.
% Rule [14] ld(unit,A) -> A collapsed.
% Rule [15] ld(A,A) -> unit collapsed.
% Rule [20] rd(A,ld(B,A)) -> B collapsed.
% Rule [23] ld(A,mult(op_c,A)) -> op_c collapsed.
% Rule [24] ld(A,mult(op_d,A)) -> op_d collapsed.
% Rule [27] ld(rd(A,B),A) -> B collapsed.
% Rule [29] ld(op_c,A) -> rd(A,op_c) collapsed.
% Rule [30] ld(op_d,A) -> rd(A,op_d) collapsed.
% Rule [40] ld(A,mult(op_c,mult(A,A))) -> mult(A,op_c) collapsed.
% Rule [43] ld(A,mult(op_d,mult(A,A))) -> mult(A,op_d) collapsed.
% Rule [48] rd(mult(A,B),ld(A,B)) -> mult(A,A) collapsed.
% Rule [53] rd(A,ld(A,unit)) -> mult(A,A) collapsed.
% Rule [54] rd(mult(op_c,A),ld(A,op_c)) -> mult(A,A) collapsed.
% Rule [55] rd(mult(op_d,A),ld(A,op_d)) -> mult(A,A) collapsed.
% Rule [56] rd(A,ld(B,ld(B,A))) -> mult(B,B) collapsed.
% Rule [63] ld(mult(A,A),B) -> ld(A,ld(A,B)) collapsed.
% Rule [77] ld(rd(op_c,rd(unit,op_c)),A) -> rd(A,rd(op_c,rd(unit,op_c)))
% collapsed.
% Rule [78] ld(rd(op_d,rd(unit,op_d)),A) -> rd(A,rd(op_d,rd(unit,op_d)))
% collapsed.
% Rule [107] rd(A,ld(rd(A,B),B)) -> rd(mult(rd(A,B),A),B) collapsed.
% Rule [164] ld(A,mult(op_c,mult(A,op_c))) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [167] ld(A,mult(op_d,mult(A,op_d))) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [170] ld(A,mult(op_c,mult(op_c,A))) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [171] ld(A,mult(op_d,mult(op_d,A))) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [172] ld(rd(A,op_c),mult(op_c,A)) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [173] ld(rd(A,op_d),mult(op_d,A)) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [176] ld(rd(A,op_c),mult(A,op_c)) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [179] ld(rd(A,op_d),mult(A,op_d)) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [199] ld(rd(unit,A),B) -> mult(A,B) collapsed.
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [203] mult(A,mult(rd(unit,A),B)) -> B
% Current number of equations to process: 2301
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [204] mult(rd(unit,op_c),A) -> rd(A,op_c)
% Current number of equations to process: 2300
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [205] mult(rd(unit,op_d),A) -> rd(A,op_d)
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [206] rd(unit,rd(unit,B)) -> B
% Rule [198] mult(rd(unit,rd(unit,A)),B) -> mult(A,B) collapsed.
% Current number of equations to process: 2298
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [207] mult(rd(unit,A),mult(op_c,A)) -> op_c
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [208] mult(rd(unit,A),mult(op_d,A)) -> op_d
% Current number of equations to process: 2296
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [209] mult(rd(unit,rd(A,B)),A) -> B
% Current number of equations to process: 2295
% Current number of ordered equations: 0
% Current number of rules: 139
% Rule [156]
% mult(A,mult(op_d,mult(op_d,A))) <-> mult(op_d,mult(op_d,mult(A,A))) is composed into 
% [156]
% mult(A,mult(op_d,mult(op_d,A))) <-> mult(op_d,mult(op_d,rd(A,rd(unit,A))))
% Rule [154]
% mult(A,mult(op_c,mult(op_d,A))) <-> mult(op_d,mult(op_c,mult(A,A))) is composed into 
% [154]
% mult(A,mult(op_c,mult(op_d,A))) -> mult(op_d,mult(op_c,rd(A,rd(unit,A))))
% Rule [146]
% mult(A,mult(op_d,mult(op_c,A))) <-> mult(op_c,mult(op_d,mult(A,A))) is composed into 
% [146]
% mult(A,mult(op_d,mult(op_c,A))) <-> mult(op_c,mult(op_d,rd(A,rd(unit,A))))
% Rule [144]
% mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(op_c,mult(A,A))) is composed into 
% [144]
% mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(op_c,rd(A,rd(unit,A))))
% Rule [138]
% mult(A,mult(op_d,mult(A,op_d))) <-> mult(op_d,mult(op_d,mult(A,A))) is composed into 
% [138]
% mult(A,mult(op_d,mult(A,op_d))) <-> mult(op_d,mult(op_d,rd(A,rd(unit,A))))
% Rule [136]
% mult(A,mult(op_c,mult(A,op_d))) <-> mult(op_d,mult(op_c,mult(A,A))) is composed into 
% [136]
% mult(A,mult(op_c,mult(A,op_d))) -> mult(op_d,mult(op_c,rd(A,rd(unit,A))))
% Rule [123]
% mult(A,mult(op_d,mult(A,op_c))) <-> mult(op_c,mult(op_d,mult(A,A))) is composed into 
% [123]
% mult(A,mult(op_d,mult(A,op_c))) <-> mult(op_c,mult(op_d,rd(A,rd(unit,A))))
% Rule [121]
% mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(op_c,mult(A,A))) is composed into 
% [121]
% mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(op_c,rd(A,rd(unit,A))))
% Rule [45] rd(mult(A,mult(op_d,A)),op_d) -> mult(A,A) is composed into 
% [45] rd(mult(A,mult(op_d,A)),op_d) -> rd(A,rd(unit,A))
% Rule [44] rd(mult(A,mult(op_c,A)),op_c) -> mult(A,A) is composed into 
% [44] rd(mult(A,mult(op_c,A)),op_c) -> rd(A,rd(unit,A))
% Rule [41] mult(A,mult(op_d,A)) <-> mult(op_d,mult(A,A)) is composed into 
% [41] mult(A,mult(op_d,A)) <-> mult(op_d,rd(A,rd(unit,A)))
% Rule [38] mult(A,mult(op_c,A)) <-> mult(op_c,mult(A,A)) is composed into 
% [38] mult(A,mult(op_c,A)) <-> mult(op_c,rd(A,rd(unit,A)))
% Rule [37] rd(mult(A,mult(A,B)),B) -> mult(A,A) is composed into [37]
% rd(mult(A,
% mult(A,B)),B)
% ->
% rd(A,
% rd(unit,A))
% Rule [35] mult(A,mult(A,op_d)) <-> mult(op_d,mult(A,A)) is composed into 
% [35] mult(A,mult(A,op_d)) <-> mult(op_d,rd(A,rd(unit,A)))
% Rule [33] mult(A,mult(A,op_c)) <-> mult(op_c,mult(A,A)) is composed into 
% [33] mult(A,mult(A,op_c)) <-> mult(op_c,rd(A,rd(unit,A)))
% New rule produced : [210] mult(A,A) -> rd(A,rd(unit,A))
% Rule [34] mult(op_c,mult(A,A)) <-> mult(A,mult(A,op_c)) collapsed.
% Rule [36] mult(op_d,mult(A,A)) <-> mult(A,mult(A,op_d)) collapsed.
% Rule [39] mult(op_c,mult(A,A)) <-> mult(A,mult(op_c,A)) collapsed.
% Rule [42] mult(op_d,mult(A,A)) <-> mult(A,mult(op_d,A)) collapsed.
% Rule [50] mult(op_c,op_c) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [52] mult(op_d,op_d) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [60] rd(mult(op_c,mult(A,A)),mult(A,op_c)) -> A collapsed.
% Rule [64] rd(mult(A,mult(A,op_c)),mult(A,A)) -> op_c collapsed.
% Rule [65] rd(mult(op_d,mult(A,A)),mult(A,op_d)) -> A collapsed.
% Rule [66] rd(mult(A,mult(A,op_d)),mult(A,A)) -> op_d collapsed.
% Rule [67] rd(mult(op_c,mult(A,A)),mult(op_c,A)) -> A collapsed.
% Rule [68] rd(mult(A,mult(op_c,A)),mult(A,A)) -> op_c collapsed.
% Rule [69] rd(mult(op_d,mult(A,A)),mult(op_d,A)) -> A collapsed.
% Rule [70] rd(mult(A,mult(op_d,A)),mult(A,A)) -> op_d collapsed.
% Rule [104] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B) collapsed.
% Rule [112] mult(A,mult(op_c,mult(A,A))) <-> mult(op_c,mult(A,mult(A,A)))
% collapsed.
% Rule [113] mult(op_c,mult(A,mult(A,A))) <-> mult(A,mult(op_c,mult(A,A)))
% collapsed.
% Rule
% [122] mult(op_c,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(A,op_c)))
% collapsed.
% Rule
% [124] mult(op_c,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(A,op_c)))
% collapsed.
% Rule [129] mult(A,mult(op_d,mult(A,A))) <-> mult(op_d,mult(A,mult(A,A)))
% collapsed.
% Rule [130] mult(op_d,mult(A,mult(A,A))) <-> mult(A,mult(op_d,mult(A,A)))
% collapsed.
% Rule
% [137] mult(op_d,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(A,op_d)))
% collapsed.
% Rule
% [139] mult(op_d,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(A,op_d)))
% collapsed.
% Rule
% [145] mult(op_c,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(op_c,A)))
% collapsed.
% Rule
% [147] mult(op_c,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(op_c,A)))
% collapsed.
% Rule
% [155] mult(op_d,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(op_d,A)))
% collapsed.
% Rule
% [157] mult(op_d,mult(op_d,mult(A,A))) <-> mult(A,mult(op_d,mult(op_d,A)))
% collapsed.
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [211] mult(op_c,mult(A,rd(A,op_c))) -> rd(A,rd(unit,A))
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [212] mult(op_d,mult(A,rd(A,op_d))) -> rd(A,rd(unit,A))
% Current number of equations to process: 2345
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [213] rd(rd(unit,A),rd(rd(unit,A),A)) -> A
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [214] rd(op_c,mult(op_c,A)) -> rd(unit,A)
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [215] rd(op_d,mult(op_d,A)) -> rd(unit,A)
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [216] rd(A,mult(A,op_c)) -> rd(unit,op_c)
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [217] rd(A,mult(A,op_d)) -> rd(unit,op_d)
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [218] rd(A,B) <-> rd(unit,rd(B,A))
% Rule [7] rd(mult(A,B),B) -> A collapsed.
% Rule [16] rd(mult(op_c,A),op_c) -> A collapsed.
% Rule [17] rd(mult(op_d,A),op_d) -> A collapsed.
% Rule [18] rd(mult(A,op_c),A) -> op_c collapsed.
% Rule [19] rd(mult(A,op_d),A) -> op_d collapsed.
% Rule [37] rd(mult(A,mult(A,B)),B) -> rd(A,rd(unit,A)) collapsed.
% Rule [44] rd(mult(A,mult(op_c,A)),op_c) -> rd(A,rd(unit,A)) collapsed.
% Rule [45] rd(mult(A,mult(op_d,A)),op_d) -> rd(A,rd(unit,A)) collapsed.
% Rule [46] rd(mult(op_c,mult(A,op_c)),A) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [47] rd(mult(op_d,mult(A,op_d)),A) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [76] rd(mult(A,mult(op_c,A)),mult(A,op_c)) -> A collapsed.
% Rule [79] rd(mult(A,mult(op_d,A)),mult(A,op_d)) -> A collapsed.
% Rule [82] rd(rd(op_c,rd(unit,op_c)),op_c) -> op_c collapsed.
% Rule [85] rd(mult(op_c,A),rd(A,op_c)) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [86] rd(rd(op_d,rd(unit,op_d)),op_d) -> op_d collapsed.
% Rule [88] rd(mult(op_d,A),rd(A,op_d)) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [91] rd(mult(A,op_c),rd(A,op_c)) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [92] rd(mult(A,op_d),rd(A,op_d)) -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule [108] rd(rd(rd(unit,A),A),rd(unit,A)) -> rd(unit,A) collapsed.
% Rule [159] rd(mult(A,mult(B,mult(A,C))),C) -> mult(A,mult(B,A)) collapsed.
% Rule [183] rd(rd(A,op_c),op_c) -> rd(A,rd(op_c,rd(unit,op_c))) collapsed.
% Rule [186] rd(rd(A,op_d),op_d) -> rd(A,rd(op_d,rd(unit,op_d))) collapsed.
% Rule [187] rd(mult(A,rd(op_c,rd(unit,op_c))),op_c) -> mult(A,op_c) collapsed.
% Rule [188] rd(mult(A,rd(op_d,rd(unit,op_d))),op_d) -> mult(A,op_d) collapsed.
% Rule [189] rd(mult(op_c,A),rd(op_c,rd(unit,op_c))) -> rd(A,op_c) collapsed.
% Rule [190] rd(mult(op_d,A),rd(op_d,rd(unit,op_d))) -> rd(A,op_d) collapsed.
% Rule [191] rd(mult(A,op_c),rd(op_c,rd(unit,op_c))) -> rd(A,op_c) collapsed.
% Rule [192] rd(mult(A,op_d),rd(op_d,rd(unit,op_d))) -> rd(A,op_d) collapsed.
% Rule [200] mult(A,rd(rd(unit,A),A)) -> rd(unit,A) collapsed.
% Rule [213] rd(rd(unit,A),rd(rd(unit,A),A)) -> A collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_d,mult(rd(unit,rd(op_d,rd(op_c,rd(unit,op_c)))),mult(a,op_d))) = 
% mult(a,mult(op_d,rd(op_c,rd(unit,op_c))))
% 
% Current number of equations to process: 2377
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced : [219] rd(unit,rd(B,A)) <-> rd(A,B)
% Current number of equations to process: 2377
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [220] mult(A,rd(unit,A)) -> unit
% Current number of equations to process: 2428
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [221] mult(A,mult(op_c,rd(unit,A))) -> op_c
% Current number of equations to process: 2431
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [222] mult(A,mult(op_d,rd(unit,A))) -> op_d
% Current number of equations to process: 2430
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [223] mult(op_d,rd(unit,op_c)) -> rd(op_d,op_c)
% Current number of equations to process: 2439
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [224] mult(op_c,rd(unit,op_d)) -> rd(op_c,op_d)
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [225] mult(op_c,rd(unit,rd(op_c,A))) -> A
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [226] mult(op_d,rd(unit,rd(op_d,A))) -> A
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [227] mult(rd(unit,A),rd(A,rd(unit,A))) -> A
% Current number of equations to process: 2498
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [228] rd(A,rd(A,rd(unit,A))) -> rd(unit,A)
% Rule [181] rd(op_c,rd(op_c,rd(unit,op_c))) -> rd(unit,op_c) collapsed.
% Rule [184] rd(op_d,rd(op_d,rd(unit,op_d))) -> rd(unit,op_d) collapsed.
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [229] mult(rd(A,rd(unit,A)),B) -> mult(A,mult(A,B))
% Rule [96] mult(rd(op_c,rd(unit,op_c)),A) -> mult(op_c,mult(op_c,A))
% collapsed.
% Rule [100] mult(rd(op_d,rd(unit,op_d)),A) -> mult(op_d,mult(op_d,A))
% collapsed.
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [230] mult(rd(unit,A),mult(op_c,rd(A,rd(unit,A)))) -> mult(A,op_c)
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [231] mult(rd(unit,A),mult(op_d,rd(A,rd(unit,A)))) -> mult(A,op_d)
% Current number of equations to process: 2508
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [232] rd(mult(A,B),mult(rd(unit,A),B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [233] rd(mult(op_c,A),mult(op_c,rd(unit,A))) -> rd(A,rd(unit,A))
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [234] rd(mult(op_d,A),mult(op_d,rd(unit,A))) -> rd(A,rd(unit,A))
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [235] mult(A,rd(unit,rd(A,rd(unit,A)))) -> rd(unit,A)
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [236] rd(A,rd(unit,rd(op_c,A))) -> op_c
% Current number of equations to process: 2553
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [237] rd(A,rd(unit,rd(op_d,A))) -> op_d
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [238] mult(rd(A,B),rd(B,A)) -> unit
% Current number of equations to process: 2560
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [239] mult(rd(A,B),mult(rd(B,A),C)) -> C
% Current number of equations to process: 2599
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [240] mult(rd(A,B),mult(op_c,rd(B,A))) -> op_c
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [241] mult(rd(A,B),mult(op_d,rd(B,A))) -> op_d
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [242] rd(A,rd(op_c,rd(unit,op_c))) <-> rd(unit,rd(op_c,rd(A,op_c)))
% Current number of equations to process: 2640
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [243] rd(unit,rd(op_c,rd(A,op_c))) <-> rd(A,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2640
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [244] rd(A,rd(op_d,rd(unit,op_d))) <-> rd(unit,rd(op_d,rd(A,op_d)))
% Current number of equations to process: 2639
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [245] rd(unit,rd(op_d,rd(A,op_d))) <-> rd(A,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [246] rd(A,mult(op_d,mult(op_d,A))) -> rd(unit,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [247] rd(A,mult(op_c,mult(op_c,A))) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [248] rd(unit,mult(A,rd(A,op_c))) -> rd(op_c,rd(A,rd(unit,A)))
% Current number of equations to process: 2630
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [249] rd(unit,mult(A,rd(A,op_d))) -> rd(op_d,rd(A,rd(unit,A)))
% Current number of equations to process: 2629
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [250] rd(mult(op_d,A),mult(A,mult(A,op_d))) -> rd(unit,A)
% Current number of equations to process: 2628
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [251] rd(mult(op_c,A),mult(A,mult(A,op_c))) -> rd(unit,A)
% Current number of equations to process: 2627
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [252] rd(unit,rd(rd(op_d,op_c),rd(unit,op_c))) -> rd(unit,op_d)
% Current number of equations to process: 2626
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [253] rd(unit,rd(rd(op_c,op_d),rd(unit,op_d))) -> rd(unit,op_c)
% Current number of equations to process: 2625
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [254] rd(A,mult(B,mult(B,A))) -> rd(unit,rd(B,rd(unit,B)))
% Rule [246] rd(A,mult(op_d,mult(op_d,A))) -> rd(unit,rd(op_d,rd(unit,op_d)))
% collapsed.
% Rule [247] rd(A,mult(op_c,mult(op_c,A))) -> rd(unit,rd(op_c,rd(unit,op_c)))
% collapsed.
% Current number of equations to process: 2624
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [255] rd(rd(A,op_c),mult(op_c,A)) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [256] rd(rd(A,op_d),mult(op_d,A)) -> rd(unit,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [257] rd(A,mult(op_c,rd(op_c,A))) -> rd(rd(A,op_c),rd(op_c,A))
% Current number of equations to process: 2733
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [258] rd(A,mult(op_d,rd(op_d,A))) -> rd(rd(A,op_d),rd(op_d,A))
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [259] rd(rd(op_d,op_c),mult(op_d,op_c)) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [260] rd(rd(op_c,op_d),rd(unit,op_d)) -> op_c
% Rule [253] rd(unit,rd(rd(op_c,op_d),rd(unit,op_d))) -> rd(unit,op_c)
% collapsed.
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [261] rd(rd(op_d,op_c),rd(unit,op_c)) -> op_d
% Rule [252] rd(unit,rd(rd(op_d,op_c),rd(unit,op_c))) -> rd(unit,op_d)
% collapsed.
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [262] mult(rd(op_c,rd(A,op_c)),A) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [263] rd(op_c,rd(A,op_c)) <-> rd(rd(op_c,rd(unit,op_c)),A)
% Current number of equations to process: 2784
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [264] rd(rd(op_c,rd(unit,op_c)),A) <-> rd(op_c,rd(A,op_c))
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [265] mult(rd(op_d,rd(A,op_d)),A) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [266] rd(op_d,rd(A,op_d)) <-> rd(rd(op_d,rd(unit,op_d)),A)
% Current number of equations to process: 2816
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [267] rd(rd(op_d,rd(unit,op_d)),A) <-> rd(op_d,rd(A,op_d))
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [268] rd(A,mult(op_d,mult(A,op_d))) -> rd(unit,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [269] rd(op_c,mult(A,mult(op_c,A))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 2968
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [270] rd(op_d,mult(A,mult(op_d,A))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [271] rd(A,mult(op_c,mult(A,op_c))) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [272] rd(rd(A,op_c),mult(A,op_c)) -> rd(unit,rd(op_c,rd(unit,op_c)))
% Rule
% [259] rd(rd(op_d,op_c),mult(op_d,op_c)) -> rd(unit,rd(op_c,rd(unit,op_c)))
% collapsed.
% Current number of equations to process: 2984
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [273] rd(rd(A,op_d),mult(A,op_d)) -> rd(unit,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [274] mult(op_d,rd(op_c,rd(op_d,op_c))) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [275] mult(op_c,rd(op_d,rd(op_c,op_d))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 139
% Rule [263] rd(op_c,rd(A,op_c)) <-> rd(rd(op_c,rd(unit,op_c)),A) is composed into 
% [263] rd(op_c,rd(A,op_c)) <-> rd(op_c,rd(unit,rd(op_c,A)))
% New rule produced :
% [276] rd(rd(op_c,rd(unit,op_c)),A) -> rd(op_c,rd(unit,rd(op_c,A)))
% Rule [264] rd(rd(op_c,rd(unit,op_c)),A) <-> rd(op_c,rd(A,op_c)) collapsed.
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 139
% Rule [266] rd(op_d,rd(A,op_d)) <-> rd(rd(op_d,rd(unit,op_d)),A) is composed into 
% [266] rd(op_d,rd(A,op_d)) <-> rd(op_d,rd(unit,rd(op_d,A)))
% New rule produced :
% [277] rd(rd(op_d,rd(unit,op_d)),A) -> rd(op_d,rd(unit,rd(op_d,A)))
% Rule [267] rd(rd(op_d,rd(unit,op_d)),A) <-> rd(op_d,rd(A,op_d)) collapsed.
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [278] rd(mult(op_c,rd(A,rd(unit,A))),mult(A,op_c)) -> A
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [279] rd(unit,rd(rd(A,rd(unit,A)),mult(A,mult(A,op_c)))) -> op_c
% Current number of equations to process: 3156
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [280] rd(mult(op_d,rd(A,rd(unit,A))),mult(A,op_d)) -> A
% Current number of equations to process: 3173
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [281] rd(unit,rd(rd(A,rd(unit,A)),mult(A,mult(A,op_d)))) -> op_d
% Current number of equations to process: 3187
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [282] rd(unit,rd(mult(op_c,A),mult(op_c,rd(A,rd(unit,A))))) -> A
% Current number of equations to process: 3201
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [149] mult(rd(A,op_c),mult(A,op_c)) -> mult(op_c,mult(rd(A,op_c),A)) is composed into 
% [149]
% mult(rd(A,op_c),mult(A,op_c)) ->
% mult(op_c,mult(op_c,rd(rd(A,op_c),rd(op_c,A))))
% Rule [120] mult(rd(A,op_c),mult(op_c,A)) -> mult(op_c,mult(rd(A,op_c),A)) is composed into 
% [120]
% mult(rd(A,op_c),mult(op_c,A)) ->
% mult(op_c,mult(op_c,rd(rd(A,op_c),rd(op_c,A))))
% New rule produced :
% [283] mult(rd(A,op_c),A) -> mult(op_c,rd(rd(A,op_c),rd(op_c,A)))
% Current number of equations to process: 3246
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [284] rd(unit,rd(rd(A,rd(unit,A)),mult(A,mult(op_c,A)))) -> op_c
% Current number of equations to process: 3251
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [285] rd(unit,rd(mult(op_d,A),mult(op_d,rd(A,rd(unit,A))))) -> A
% Current number of equations to process: 3265
% Current number of ordered equations: 0
% Current number of rules: 147
% Rule [158] mult(rd(A,op_d),mult(A,op_d)) -> mult(op_d,mult(rd(A,op_d),A)) is composed into 
% [158]
% mult(rd(A,op_d),mult(A,op_d)) ->
% mult(op_d,mult(op_d,rd(rd(A,op_d),rd(op_d,A))))
% Rule [135] mult(rd(A,op_d),mult(op_d,A)) -> mult(op_d,mult(rd(A,op_d),A)) is composed into 
% [135]
% mult(rd(A,op_d),mult(op_d,A)) ->
% mult(op_d,mult(op_d,rd(rd(A,op_d),rd(op_d,A))))
% New rule produced :
% [286] mult(rd(A,op_d),A) -> mult(op_d,rd(rd(A,op_d),rd(op_d,A)))
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [287] rd(unit,rd(rd(A,rd(unit,A)),mult(A,mult(op_d,A)))) -> op_d
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [288] rd(unit,rd(mult(A,op_c),mult(A,mult(op_c,A)))) -> A
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [289] rd(mult(A,op_c),mult(A,mult(op_c,A))) -> rd(unit,A)
% Rule [288] rd(unit,rd(mult(A,op_c),mult(A,mult(op_c,A)))) -> A collapsed.
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [290] mult(rd(unit,rd(op_c,rd(unit,op_c))),B) -> rd(unit,rd(op_c,rd(B,op_c)))
% Current number of equations to process: 3351
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [291] mult(rd(unit,rd(op_d,rd(unit,op_d))),B) -> rd(unit,rd(op_d,rd(B,op_d)))
% Current number of equations to process: 3369
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [292] rd(unit,rd(mult(A,op_d),mult(A,mult(op_d,A)))) -> A
% Current number of equations to process: 3385
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [293] rd(mult(A,op_d),mult(A,mult(op_d,A))) -> rd(unit,A)
% Rule [292] rd(unit,rd(mult(A,op_d),mult(A,mult(op_d,A)))) -> A collapsed.
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [294]
% rd(unit,rd(op_c,rd(unit,rd(op_c,mult(op_d,rd(op_c,rd(unit,op_c))))))) -> op_d
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [295] rd(A,rd(A,rd(op_c,rd(unit,op_c)))) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 3409
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [296] rd(A,rd(A,rd(op_d,rd(unit,op_d)))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3411
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [297] mult(B,mult(A,op_c)) <-> mult(rd(unit,A),mult(op_c,mult(A,mult(B,A))))
% Current number of equations to process: 3409
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [298] mult(rd(unit,A),mult(op_c,mult(A,mult(B,A)))) <-> mult(B,mult(A,op_c))
% Current number of equations to process: 3409
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [299] mult(op_c,mult(A,rd(unit,op_c))) -> A
% Current number of equations to process: 3476
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [300] mult(A,rd(unit,op_c)) -> rd(A,op_c)
% Rule [223] mult(op_d,rd(unit,op_c)) -> rd(op_d,op_c) collapsed.
% Rule [299] mult(op_c,mult(A,rd(unit,op_c))) -> A collapsed.
% Current number of equations to process: 3507
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [301] mult(op_d,rd(op_d,op_c)) -> rd(op_d,rd(op_c,op_d))
% Current number of equations to process: 3511
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [302] mult(rd(unit,A),rd(A,op_c)) -> rd(unit,op_c)
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [303] rd(rd(unit,op_c),rd(A,op_c)) -> rd(unit,A)
% Current number of equations to process: 3522
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [304] rd(op_d,rd(op_d,rd(op_c,op_d))) -> rd(op_c,op_d)
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [305] rd(unit,rd(op_c,rd(A,rd(unit,op_c)))) -> A
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [306] mult(rd(op_c,op_d),rd(op_d,rd(op_c,op_d))) -> op_d
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [307] rd(rd(A,op_c),rd(unit,op_c)) -> A
% Rule [261] rd(rd(op_d,op_c),rd(unit,op_c)) -> op_d collapsed.
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [308] mult(A,rd(op_c,rd(A,rd(unit,op_c)))) -> unit
% Current number of equations to process: 3547
% Current number of ordered equations: 0
% Current number of rules: 165
% Rule [298]
% mult(rd(unit,A),mult(op_c,mult(A,mult(B,A)))) <-> mult(B,mult(A,op_c)) is composed into 
% [298]
% mult(rd(unit,A),mult(op_c,mult(A,mult(B,A)))) <-> mult(B,rd(A,rd(unit,op_c)))
% Rule [230] mult(rd(unit,A),mult(op_c,rd(A,rd(unit,A)))) -> mult(A,op_c) is composed into 
% [230] mult(rd(unit,A),mult(op_c,rd(A,rd(unit,A)))) -> rd(A,rd(unit,op_c))
% Rule [160] mult(A,rd(op_c,rd(unit,op_c))) <-> mult(op_c,mult(A,op_c)) is composed into 
% [160] mult(A,rd(op_c,rd(unit,op_c))) <-> mult(op_c,rd(A,rd(unit,op_c)))
% Rule [150]
% mult(A,mult(op_c,mult(op_d,A))) <-> mult(op_d,mult(A,mult(A,op_c))) is composed into 
% [150]
% mult(A,mult(op_c,mult(op_d,A))) <-> mult(op_d,mult(A,rd(A,rd(unit,op_c))))
% Rule [140]
% mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(A,mult(A,op_c))) is composed into 
% [140]
% mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(A,rd(A,rd(unit,op_c))))
% Rule [131]
% mult(A,mult(op_c,mult(A,op_d))) <-> mult(op_d,mult(A,mult(A,op_c))) is composed into 
% [131]
% mult(A,mult(op_c,mult(A,op_d))) <-> mult(op_d,mult(A,rd(A,rd(unit,op_c))))
% Rule [126]
% mult(op_d,mult(op_c,mult(op_c,A))) <->
% mult(op_d,mult(op_c,mult(A,op_c))) is composed into [126]
% mult(op_d,mult(op_c,
% mult(op_c,A)))
% ->
% mult(op_d,mult(op_c,
% rd(A,
% rd(unit,op_c))))
% Rule [119]
% mult(op_c,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(A,op_c))) is composed into 
% [119]
% mult(op_c,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,rd(A,rd(unit,op_c))))
% Rule [114]
% mult(op_c,mult(op_d,mult(op_d,A))) <->
% mult(op_d,mult(A,mult(op_d,op_c))) is composed into [114]
% mult(op_c,mult(op_d,
% mult(op_d,A)))
% <->
% mult(op_d,mult(A,
% rd(op_d,
% rd(unit,op_c))))
% Rule [94] mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(A,op_c))) is composed into 
% [94] mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,rd(A,rd(unit,op_c))))
% Rule [5] mult(op_c,A) <-> mult(A,op_c) is composed into [5]
% mult(op_c,A) ->
% rd(A,rd(unit,op_c))
% New rule produced : [309] mult(A,op_c) -> rd(A,rd(unit,op_c))
% Rule [3] mult(A,op_c) <-> mult(op_c,A) collapsed.
% Rule [33] mult(A,mult(A,op_c)) <-> mult(op_c,rd(A,rd(unit,A))) collapsed.
% Rule [80] rd(mult(A,mult(A,op_c)),mult(op_c,A)) -> A collapsed.
% Rule [93] mult(A,mult(B,mult(A,op_c))) <-> mult(op_c,mult(A,mult(B,A)))
% collapsed.
% Rule
% [115]
% mult(op_d,mult(A,mult(op_d,op_c))) <-> mult(op_c,mult(op_d,mult(op_d,A)))
% collapsed.
% Rule
% [116] mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(A,mult(A,op_c)))
% collapsed.
% Rule
% [117] mult(op_c,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(A,op_c)))
% collapsed.
% Rule
% [118] mult(A,mult(op_d,mult(A,op_c))) <-> mult(op_c,mult(A,mult(A,op_d)))
% collapsed.
% Rule
% [121]
% mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(op_c,rd(A,rd(unit,A))))
% collapsed.
% Rule
% [123]
% mult(A,mult(op_d,mult(A,op_c))) <-> mult(op_c,mult(op_d,rd(A,rd(unit,A))))
% collapsed.
% Rule
% [132] mult(op_d,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(A,op_d)))
% collapsed.
% Rule
% [141] mult(op_c,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(op_c,A)))
% collapsed.
% Rule
% [149]
% mult(rd(A,op_c),mult(A,op_c)) ->
% mult(op_c,mult(op_c,rd(rd(A,op_c),rd(op_c,A)))) collapsed.
% Rule
% [151] mult(op_d,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(op_d,A)))
% collapsed.
% Rule [161] mult(op_c,mult(A,op_c)) <-> mult(A,rd(op_c,rd(unit,op_c)))
% collapsed.
% Rule [216] rd(A,mult(A,op_c)) -> rd(unit,op_c) collapsed.
% Rule [251] rd(mult(op_c,A),mult(A,mult(A,op_c))) -> rd(unit,A) collapsed.
% Rule [271] rd(A,mult(op_c,mult(A,op_c))) -> rd(unit,rd(op_c,rd(unit,op_c)))
% collapsed.
% Rule [272] rd(rd(A,op_c),mult(A,op_c)) -> rd(unit,rd(op_c,rd(unit,op_c)))
% collapsed.
% Rule [278] rd(mult(op_c,rd(A,rd(unit,A))),mult(A,op_c)) -> A collapsed.
% Rule [279] rd(unit,rd(rd(A,rd(unit,A)),mult(A,mult(A,op_c)))) -> op_c
% collapsed.
% Rule [289] rd(mult(A,op_c),mult(A,mult(op_c,A))) -> rd(unit,A) collapsed.
% Rule
% [297] mult(B,mult(A,op_c)) <-> mult(rd(unit,A),mult(op_c,mult(A,mult(B,A))))
% collapsed.
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [310] rd(A,rd(A,rd(unit,op_c))) -> rd(unit,op_c)
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [311] rd(unit,A) <-> rd(op_c,rd(A,rd(unit,op_c)))
% Current number of equations to process: 3566
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced : [312] rd(op_c,rd(A,rd(unit,op_c))) <-> rd(unit,A)
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [313] mult(rd(op_c,rd(A,rd(unit,op_c))),A) -> unit
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 147
% Rule [150]
% mult(A,mult(op_c,mult(op_d,A))) <->
% mult(op_d,mult(A,rd(A,rd(unit,op_c)))) is composed into [150]
% mult(A,mult(op_c,
% mult(op_d,A)))
% ->
% mult(op_d,
% rd(rd(A,
% rd(unit,A)),
% rd(unit,op_c)))
% Rule [140]
% mult(A,mult(op_c,mult(op_c,A))) <->
% mult(op_c,mult(A,rd(A,rd(unit,op_c)))) is composed into [140]
% mult(A,mult(op_c,
% mult(op_c,A)))
% ->
% mult(op_c,
% rd(rd(A,
% rd(unit,A)),
% rd(unit,op_c)))
% Rule [131]
% mult(A,mult(op_c,mult(A,op_d))) <->
% mult(op_d,mult(A,rd(A,rd(unit,op_c)))) is composed into [131]
% mult(A,mult(op_c,
% mult(A,op_d)))
% ->
% mult(op_d,
% rd(rd(A,
% rd(unit,A)),
% rd(unit,op_c)))
% New rule produced :
% [314] mult(A,rd(A,rd(unit,op_c))) -> rd(rd(A,rd(unit,A)),rd(unit,op_c))
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 148
% Rule [166] mult(op_c,mult(op_c,A)) <-> mult(A,rd(op_c,rd(unit,op_c))) is composed into 
% [166]
% mult(op_c,mult(op_c,A)) -> rd(unit,rd(rd(unit,op_c),rd(A,rd(unit,op_c))))
% New rule produced :
% [315]
% mult(A,rd(op_c,rd(unit,op_c))) ->
% rd(unit,rd(rd(unit,op_c),rd(A,rd(unit,op_c))))
% Rule [160] mult(A,rd(op_c,rd(unit,op_c))) <-> mult(op_c,rd(A,rd(unit,op_c)))
% collapsed.
% Rule [165] mult(A,rd(op_c,rd(unit,op_c))) <-> mult(op_c,mult(op_c,A))
% collapsed.
% Rule
% [294]
% rd(unit,rd(op_c,rd(unit,rd(op_c,mult(op_d,rd(op_c,rd(unit,op_c))))))) -> op_d
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_d,mult(rd(unit,rd(op_d,rd(op_c,rd(unit,op_c)))),mult(a,op_d))) = 
% mult(a,rd(unit,rd(rd(unit,op_c),rd(op_d,rd(unit,op_c)))))
% 
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [316] rd(rd(unit,op_d),rd(unit,op_c)) -> rd(op_c,op_d)
% Current number of equations to process: 3599
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [317] mult(rd(unit,A),rd(A,rd(unit,op_c))) -> op_c
% Current number of equations to process: 3600
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [318] mult(A,rd(rd(unit,A),rd(unit,op_c))) -> op_c
% Current number of equations to process: 3599
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [319] mult(A,rd(unit,rd(op_c,rd(unit,A)))) -> rd(unit,op_c)
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [320] rd(unit,rd(op_d,rd(unit,op_c))) -> rd(unit,rd(op_c,rd(unit,op_d)))
% Current number of equations to process: 3637
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [321] rd(rd(op_d,op_c),rd(op_d,rd(op_c,op_d))) -> rd(unit,op_d)
% Current number of equations to process: 3635
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [322] mult(rd(unit,A),rd(unit,rd(op_c,A))) -> rd(unit,op_c)
% Current number of equations to process: 3632
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [323] rd(rd(unit,op_c),rd(unit,rd(op_c,A))) -> rd(unit,A)
% Current number of equations to process: 3631
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [324] rd(A,rd(unit,rd(rd(unit,op_c),A))) -> rd(unit,op_c)
% Current number of equations to process: 3630
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [325] rd(op_c,rd(unit,rd(rd(unit,op_c),A))) -> rd(unit,A)
% Current number of equations to process: 3629
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [326] rd(rd(op_c,op_d),rd(unit,op_c)) -> rd(op_c,rd(op_d,op_c))
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [327] rd(unit,rd(op_c,rd(op_c,rd(unit,op_d)))) -> op_d
% Current number of equations to process: 3662
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [114]
% mult(op_c,mult(op_d,mult(op_d,A))) <->
% mult(op_d,mult(A,rd(op_d,rd(unit,op_c)))) is composed into [114]
% mult(op_c,
% mult(op_d,
% mult(op_d,A)))
% <->
% mult(op_d,
% mult(A,
% rd(op_c,
% rd(unit,op_d))))
% New rule produced : [328] rd(op_d,rd(unit,op_c)) -> rd(op_c,rd(unit,op_d))
% Rule [320] rd(unit,rd(op_d,rd(unit,op_c))) -> rd(unit,rd(op_c,rd(unit,op_d)))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_d,mult(rd(unit,rd(op_d,rd(op_c,rd(unit,op_c)))),mult(a,op_d))) = 
% mult(a,rd(rd(op_c,rd(unit,op_d)),rd(unit,op_c)))
% 
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [329] mult(rd(op_d,op_c),rd(unit,op_d)) -> rd(unit,op_c)
% Current number of equations to process: 3667
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [330] rd(unit,rd(op_d,rd(op_c,rd(unit,op_d)))) -> op_c
% Current number of equations to process: 3684
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [331] rd(op_c,rd(op_c,rd(op_d,op_c))) -> rd(op_d,op_c)
% Current number of equations to process: 3733
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [332] mult(op_d,rd(op_c,rd(op_c,rd(unit,op_d)))) -> unit
% Current number of equations to process: 3736
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [333] rd(op_c,rd(op_c,rd(unit,op_d))) -> rd(unit,op_d)
% Rule [327] rd(unit,rd(op_c,rd(op_c,rd(unit,op_d)))) -> op_d collapsed.
% Rule [332] mult(op_d,rd(op_c,rd(op_c,rd(unit,op_d)))) -> unit collapsed.
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [329] mult(rd(op_d,op_c),rd(unit,op_d)) -> rd(unit,op_c) is composed into 
% [329] mult(rd(op_d,op_c),rd(unit,op_d)) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Rule [322] mult(rd(unit,A),rd(unit,rd(op_c,A))) -> rd(unit,op_c) is composed into 
% [322] mult(rd(unit,A),rd(unit,rd(op_c,A))) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Rule [319] mult(A,rd(unit,rd(op_c,rd(unit,A)))) -> rd(unit,op_c) is composed into 
% [319] mult(A,rd(unit,rd(op_c,rd(unit,A)))) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Rule [311] rd(unit,A) <-> rd(op_c,rd(A,rd(unit,op_c))) is composed into 
% [311] rd(unit,A) <-> rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Rule [309] mult(A,op_c) -> rd(A,rd(unit,op_c)) is composed into [309]
% mult(A,op_c)
% ->
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))
% Rule [302] mult(rd(unit,A),rd(A,op_c)) -> rd(unit,op_c) is composed into 
% [302] mult(rd(unit,A),rd(A,op_c)) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Rule [298]
% mult(rd(unit,A),mult(op_c,mult(A,mult(B,A)))) <->
% mult(B,rd(A,rd(unit,op_c))) is composed into [298]
% mult(rd(unit,A),mult(op_c,
% mult(A,
% mult(B,A))))
% <->
% mult(B,rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))
% Rule [274] mult(op_d,rd(op_c,rd(op_d,op_c))) -> rd(op_c,rd(unit,op_c)) is composed into 
% [274]
% mult(op_d,rd(op_c,rd(op_d,op_c))) -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Rule [262] mult(rd(op_c,rd(A,op_c)),A) -> rd(op_c,rd(unit,op_c)) is composed into 
% [262] mult(rd(op_c,rd(A,op_c)),A) -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Rule [255] rd(rd(A,op_c),mult(op_c,A)) -> rd(unit,rd(op_c,rd(unit,op_c))) is composed into 
% [255]
% rd(rd(A,op_c),mult(op_c,A)) ->
% rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Rule [243] rd(unit,rd(op_c,rd(A,op_c))) <-> rd(A,rd(op_c,rd(unit,op_c))) is composed into 
% [243]
% rd(unit,rd(op_c,rd(A,op_c))) <->
% rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Rule [230]
% mult(rd(unit,A),mult(op_c,rd(A,rd(unit,A)))) -> rd(A,rd(unit,op_c)) is composed into 
% [230]
% mult(rd(unit,A),mult(op_c,rd(A,rd(unit,A)))) ->
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))
% Rule [166]
% mult(op_c,mult(op_c,A)) ->
% rd(unit,rd(rd(unit,op_c),rd(A,rd(unit,op_c)))) is composed into 
% [166]
% mult(op_c,mult(op_c,A)) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule [150]
% mult(A,mult(op_c,mult(op_d,A))) ->
% mult(op_d,rd(rd(A,rd(unit,A)),rd(unit,op_c))) is composed into [150]
% mult(A,
% mult(op_c,
% mult(op_d,A)))
% ->
% mult(op_d,
% rd(
% rd(A,
% rd(unit,A)),
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))
% Rule [140]
% mult(A,mult(op_c,mult(op_c,A))) ->
% mult(op_c,rd(rd(A,rd(unit,A)),rd(unit,op_c))) is composed into [140]
% mult(A,
% mult(op_c,
% mult(op_c,A)))
% ->
% mult(op_c,
% rd(
% rd(A,
% rd(unit,A)),
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))
% Rule [131]
% mult(A,mult(op_c,mult(A,op_d))) ->
% mult(op_d,rd(rd(A,rd(unit,A)),rd(unit,op_c))) is composed into [131]
% mult(A,
% mult(op_c,
% mult(A,op_d)))
% ->
% mult(op_d,
% rd(
% rd(A,
% rd(unit,A)),
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))
% Rule [126]
% mult(op_d,mult(op_c,mult(op_c,A))) ->
% mult(op_d,mult(op_c,rd(A,rd(unit,op_c)))) is composed into [126]
% mult(op_d,
% mult(op_c,
% mult(op_c,A)))
% ->
% mult(op_d,
% mult(op_c,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))
% Rule [119]
% mult(op_c,mult(A,mult(A,op_d))) <->
% mult(A,mult(op_d,rd(A,rd(unit,op_c)))) is composed into [119]
% mult(op_c,
% mult(A,mult(A,op_d)))
% <->
% mult(A,mult(op_d,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))
% Rule [94]
% mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,rd(A,rd(unit,op_c)))) is composed into 
% [94]
% mult(op_c,mult(A,mult(B,A))) <->
% mult(A,mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule [5] mult(op_c,A) -> rd(A,rd(unit,op_c)) is composed into [5]
% mult(op_c,A) ->
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))
% New rule produced : [334] rd(unit,op_c) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Rule [193] mult(op_c,rd(A,rd(op_c,rd(unit,op_c)))) -> rd(A,op_c) collapsed.
% Rule [204] mult(rd(unit,op_c),A) -> rd(A,op_c) collapsed.
% Rule [242] rd(A,rd(op_c,rd(unit,op_c))) <-> rd(unit,rd(op_c,rd(A,op_c)))
% collapsed.
% Rule [276] rd(rd(op_c,rd(unit,op_c)),A) -> rd(op_c,rd(unit,rd(op_c,A)))
% collapsed.
% Rule
% [290] mult(rd(unit,rd(op_c,rd(unit,op_c))),B) -> rd(unit,rd(op_c,rd(B,op_c)))
% collapsed.
% Rule [295] rd(A,rd(A,rd(op_c,rd(unit,op_c)))) -> rd(op_c,rd(unit,op_c))
% collapsed.
% Rule [300] mult(A,rd(unit,op_c)) -> rd(A,op_c) collapsed.
% Rule [303] rd(rd(unit,op_c),rd(A,op_c)) -> rd(unit,A) collapsed.
% Rule [305] rd(unit,rd(op_c,rd(A,rd(unit,op_c)))) -> A collapsed.
% Rule [307] rd(rd(A,op_c),rd(unit,op_c)) -> A collapsed.
% Rule [308] mult(A,rd(op_c,rd(A,rd(unit,op_c)))) -> unit collapsed.
% Rule [310] rd(A,rd(A,rd(unit,op_c))) -> rd(unit,op_c) collapsed.
% Rule [312] rd(op_c,rd(A,rd(unit,op_c))) <-> rd(unit,A) collapsed.
% Rule [313] mult(rd(op_c,rd(A,rd(unit,op_c))),A) -> unit collapsed.
% Rule [314] mult(A,rd(A,rd(unit,op_c))) -> rd(rd(A,rd(unit,A)),rd(unit,op_c))
% collapsed.
% Rule
% [315]
% mult(A,rd(op_c,rd(unit,op_c))) ->
% rd(unit,rd(rd(unit,op_c),rd(A,rd(unit,op_c)))) collapsed.
% Rule [316] rd(rd(unit,op_d),rd(unit,op_c)) -> rd(op_c,op_d) collapsed.
% Rule [317] mult(rd(unit,A),rd(A,rd(unit,op_c))) -> op_c collapsed.
% Rule [318] mult(A,rd(rd(unit,A),rd(unit,op_c))) -> op_c collapsed.
% Rule [323] rd(rd(unit,op_c),rd(unit,rd(op_c,A))) -> rd(unit,A) collapsed.
% Rule [324] rd(A,rd(unit,rd(rd(unit,op_c),A))) -> rd(unit,op_c) collapsed.
% Rule [325] rd(op_c,rd(unit,rd(rd(unit,op_c),A))) -> rd(unit,A) collapsed.
% Rule [326] rd(rd(op_c,op_d),rd(unit,op_c)) -> rd(op_c,rd(op_d,op_c))
% collapsed.
% Rule [328] rd(op_d,rd(unit,op_c)) -> rd(op_c,rd(unit,op_d)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_d,mult(rd(unit,rd(op_d,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))),
% mult(a,op_d))) = mult(a,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,
% rd(unit,op_d)))))
% 
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [335] mult(rd(op_d,rd(op_c,rd(unit,op_d))),A) -> rd(A,op_c)
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [336] mult(rd(op_d,op_c),rd(op_c,rd(op_d,op_c))) -> op_c
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [337] mult(A,rd(op_d,rd(op_c,rd(unit,op_d)))) -> rd(A,op_c)
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [338]
% rd(rd(op_c,op_d),rd(op_c,rd(op_d,op_c))) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Current number of equations to process: 3776
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [339]
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(A,op_d))))))
% <-> mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 3807
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [340]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(A,op_d))))))
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [341]
% rd(unit,rd(op_c,mult(A,mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))) ->
% mult(A,mult(B,A))
% Current number of equations to process: 3861
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [342]
% rd(unit,rd(B,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [343]
% mult(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),B) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(rd(A,op_c),rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% Current number of equations to process: 3944
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [344] mult(B,mult(A,op_d)) <-> mult(rd(unit,A),mult(op_d,mult(A,mult(B,A))))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_d,mult(rd(unit,a),mult(op_d,mult(a,mult(rd(unit,rd(op_d,rd(op_c,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))),a))))) = 
% mult(a,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,rd(unit,op_d)))))
% 
% Current number of equations to process: 3982
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [345] mult(rd(unit,A),mult(op_d,mult(A,mult(B,A)))) <-> mult(B,mult(A,op_d))
% Current number of equations to process: 3982
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [346] rd(unit,rd(op_d,mult(A,mult(B,mult(A,op_d))))) -> mult(A,mult(B,A))
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [347]
% rd(unit,rd(B,mult(op_d,mult(A,mult(op_d,B))))) <-> mult(op_d,mult(op_d,A))
% Current number of equations to process: 4097
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [348]
% mult(op_d,mult(op_d,A)) <-> rd(unit,rd(B,mult(op_d,mult(A,mult(op_d,B)))))
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [349] rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))))) -> op_c
% Current number of equations to process: 4199
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [350]
% rd(unit,rd(B,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B))))))
% -> mult(A,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4212
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [351] rd(unit,rd(B,mult(A,mult(op_d,mult(A,B))))) <-> mult(A,mult(A,op_d))
% Current number of equations to process: 4301
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [352] mult(A,mult(A,op_d)) <-> rd(unit,rd(B,mult(A,mult(op_d,mult(A,B)))))
% Current number of equations to process: 4301
% Current number of ordered equations: 0
% Current number of rules: 156
% Rule [350]
% rd(unit,rd(B,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B))))))
% -> mult(A,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) is composed into 
% [350]
% rd(unit,rd(B,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% New rule produced :
% [353]
% mult(A,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4414
% Current number of ordered equations: 0
% Current number of rules: 157
% Rule [352]
% mult(A,mult(A,op_d)) <-> rd(unit,rd(B,mult(A,mult(op_d,mult(A,B))))) is composed into 
% [352] mult(A,mult(A,op_d)) <-> mult(op_d,rd(A,rd(unit,A)))
% New rule produced :
% [354]
% rd(unit,rd(B,mult(A,mult(op_d,mult(A,B))))) -> mult(op_d,rd(A,rd(unit,A)))
% Rule
% [351] rd(unit,rd(B,mult(A,mult(op_d,mult(A,B))))) <-> mult(A,mult(A,op_d))
% collapsed.
% Current number of equations to process: 4445
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [355] mult(rd(B,mult(rd(A,B),A)),A) -> mult(rd(unit,rd(A,B)),B)
% Current number of equations to process: 4539
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [356]
% mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(B,A)))))
% Current number of equations to process: 4584
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [357]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(B,A)))))
% <-> mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [358]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,
% rd(unit,A))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4679
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [359]
% rd(unit,rd(op_c,mult(A,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))))))
% -> mult(A,rd(A,rd(unit,A)))
% Current number of equations to process: 4717
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [360]
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(op_d,A))))))
% <-> mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4751
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [361]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(op_d,A))))))
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [362]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,rd(unit,A)),
% rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 4812
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [363]
% rd(unit,rd(op_c,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4833
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [364]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,op_d)))))
% -> mult(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4865
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [365]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% rd(A,rd(unit,A))))))
% -> mult(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4878
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [366]
% rd(unit,rd(op_c,mult(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% <-> mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4914
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [367]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(unit,rd(op_c,mult(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% Current number of equations to process: 4914
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [368] mult(B,mult(op_d,A)) <-> mult(rd(unit,A),mult(op_d,mult(A,mult(B,A))))
% Current number of equations to process: 4968
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [369] mult(rd(unit,A),mult(op_d,mult(A,mult(B,A)))) <-> mult(B,mult(op_d,A))
% Current number of equations to process: 4968
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [370] rd(unit,rd(op_d,mult(A,mult(B,mult(op_d,A))))) -> mult(A,mult(B,A))
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [371]
% mult(rd(unit,A),mult(op_d,mult(A,rd(A,rd(unit,A))))) ->
% mult(op_d,rd(A,rd(unit,A)))
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [372]
% rd(unit,rd(op_d,mult(A,mult(op_d,rd(A,rd(unit,A)))))) ->
% mult(A,rd(A,rd(unit,A)))
% Current number of equations to process: 2367
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [373]
% mult(rd(unit,A),mult(op_d,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,op_d)))
% Current number of equations to process: 2415
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [374]
% mult(rd(unit,A),mult(op_d,mult(A,mult(A,op_d)))) -> mult(op_d,mult(A,op_d))
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [375]
% mult(rd(unit,A),mult(op_d,mult(op_d,rd(A,rd(unit,A))))) ->
% mult(op_d,mult(A,op_d))
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [376]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(op_d,rd(op_c,op_d)),
% rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [377]
% rd(unit,rd(op_d,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,A))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 2508
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [378]
% rd(unit,rd(B,mult(op_d,mult(A,mult(B,op_d))))) -> mult(op_d,mult(A,op_d))
% Current number of equations to process: 2537
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [379] mult(A,mult(B,A)) <-> rd(mult(A,mult(B,C)),mult(rd(unit,A),C))
% Current number of equations to process: 2582
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [380] rd(mult(A,mult(B,C)),mult(rd(unit,A),C)) <-> mult(A,mult(B,A))
% Current number of equations to process: 2582
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [381] mult(A,mult(rd(B,mult(A,C)),A)) -> rd(mult(A,B),C)
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [382] rd(mult(A,op_d),mult(op_d,A)) -> unit
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [383] mult(op_d,mult(op_d,rd(unit,A))) -> rd(op_d,rd(unit,rd(op_d,A)))
% Current number of equations to process: 2886
% Current number of ordered equations: 0
% Current number of rules: 186
% Rule [158]
% mult(rd(A,op_d),mult(A,op_d)) ->
% mult(op_d,mult(op_d,rd(rd(A,op_d),rd(op_d,A)))) is composed into 
% [158]
% mult(rd(A,op_d),mult(A,op_d)) ->
% rd(mult(op_d,rd(A,op_d)),rd(rd(op_d,A),op_d))
% Rule [156]
% mult(A,mult(op_d,mult(op_d,A))) <->
% mult(op_d,mult(op_d,rd(A,rd(unit,A)))) is composed into [156]
% mult(A,mult(op_d,
% mult(op_d,A)))
% ->
% rd(mult(op_d,A),
% rd(rd(unit,A),op_d))
% Rule [138]
% mult(A,mult(op_d,mult(A,op_d))) <->
% mult(op_d,mult(op_d,rd(A,rd(unit,A)))) is composed into [138]
% mult(A,mult(op_d,
% mult(A,op_d)))
% ->
% rd(mult(op_d,A),
% rd(rd(unit,A),op_d))
% Rule [135]
% mult(rd(A,op_d),mult(op_d,A)) ->
% mult(op_d,mult(op_d,rd(rd(A,op_d),rd(op_d,A)))) is composed into 
% [135]
% mult(rd(A,op_d),mult(op_d,A)) ->
% rd(mult(op_d,rd(A,op_d)),rd(rd(op_d,A),op_d))
% New rule produced :
% [384] mult(op_d,mult(op_d,rd(A,B))) -> rd(mult(op_d,A),rd(B,op_d))
% Rule
% [375]
% mult(rd(unit,A),mult(op_d,mult(op_d,rd(A,rd(unit,A))))) ->
% mult(op_d,mult(A,op_d)) collapsed.
% Rule [383] mult(op_d,mult(op_d,rd(unit,A))) -> rd(op_d,rd(unit,rd(op_d,A)))
% collapsed.
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [385] rd(mult(op_d,A),mult(A,op_d)) -> unit
% Current number of equations to process: 2964
% Current number of ordered equations: 0
% Current number of rules: 186
% Rule [367]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(unit,rd(op_c,mult(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))) is composed into 
% [367]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% Rule [364]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,
% mult(A,op_d)))))
% -> mult(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) is composed into 
% [364]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,op_d)))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))
% Rule [361]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(op_d,A)))))) is composed into 
% [361]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))))
% Rule [352] mult(A,mult(A,op_d)) <-> mult(op_d,rd(A,rd(unit,A))) is composed into 
% [352]
% mult(A,mult(A,op_d)) -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,A))))))
% Rule [344]
% mult(B,mult(A,op_d)) <-> mult(rd(unit,A),mult(op_d,mult(A,mult(B,A)))) is composed into 
% [344]
% mult(B,mult(A,op_d)) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(B,A)))))))
% Rule [340]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(A,op_d)))))) is composed into 
% [340]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% mult(A,op_d)))))))))
% Rule [286] mult(rd(A,op_d),A) -> mult(op_d,rd(rd(A,op_d),rd(op_d,A))) is composed into 
% [286]
% mult(rd(A,op_d),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(rd(A,op_d),rd(op_d,A))))))
% Rule [168] mult(A,rd(op_d,rd(unit,op_d))) <-> mult(op_d,mult(op_d,A)) is composed into 
% [168]
% mult(A,rd(op_d,rd(unit,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% Rule [162] mult(A,rd(op_d,rd(unit,op_d))) <-> mult(op_d,mult(A,op_d)) is composed into 
% [162]
% mult(A,rd(op_d,rd(unit,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,op_d)))))
% Rule [158]
% mult(rd(A,op_d),mult(A,op_d)) ->
% rd(mult(op_d,rd(A,op_d)),rd(rd(op_d,A),op_d)) is composed into [158]
% mult(
% rd(A,op_d),
% mult(A,op_d))
% ->
% rd(
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(A,op_d))))),
% rd(
% rd(op_d,A),op_d))
% Rule [143]
% mult(op_c,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(op_c,A))) is composed into 
% [143]
% mult(op_c,mult(A,mult(A,op_d))) <->
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(op_c,A))))))
% Rule [136]
% mult(A,mult(op_c,mult(A,op_d))) ->
% mult(op_d,mult(op_c,rd(A,rd(unit,A)))) is composed into [136]
% mult(A,mult(op_c,
% mult(A,op_d)))
% ->
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% mult(op_c,
% rd(A,rd(unit,A)))))))
% Rule [131]
% mult(A,mult(op_c,mult(A,op_d))) ->
% mult(op_d,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))) is composed into 
% [131]
% mult(A,mult(op_c,mult(A,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))))))
% Rule [119]
% mult(op_c,mult(A,mult(A,op_d))) <->
% mult(A,mult(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) is composed into 
% [119]
% mult(op_c,mult(A,mult(A,op_d))) ->
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% Rule [97] mult(A,mult(B,mult(A,op_d))) <-> mult(op_d,mult(A,mult(B,A))) is composed into 
% [97]
% mult(A,mult(B,mult(A,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(B,A))))))
% Rule [35] mult(A,mult(A,op_d)) <-> mult(op_d,rd(A,rd(unit,A))) is composed into 
% [35]
% mult(A,mult(A,op_d)) -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,A))))))
% Rule [4] mult(A,op_d) <-> mult(op_d,A) is composed into [4]
% mult(A,op_d) ->
% rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,A))))
% New rule produced :
% [386] mult(op_d,A) -> rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))
% Rule [6] mult(op_d,A) <-> mult(A,op_d) collapsed.
% Rule [22] mult(op_d,rd(A,op_d)) -> A collapsed.
% Rule [41] mult(A,mult(op_d,A)) <-> mult(op_d,rd(A,rd(unit,A))) collapsed.
% Rule [81] rd(mult(A,mult(A,op_d)),mult(op_d,A)) -> A collapsed.
% Rule [98] mult(op_d,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(A,op_d)))
% collapsed.
% Rule
% [114]
% mult(op_c,mult(op_d,mult(op_d,A))) <->
% mult(op_d,mult(A,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [126]
% mult(op_d,mult(op_c,mult(op_c,A))) ->
% mult(op_d,mult(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) collapsed.
% Rule [127] mult(A,mult(B,mult(op_d,A))) <-> mult(op_d,mult(A,mult(B,A)))
% collapsed.
% Rule [128] mult(op_d,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(op_d,A)))
% collapsed.
% Rule
% [133] mult(A,mult(op_d,mult(A,op_d))) <-> mult(op_d,mult(A,mult(A,op_d)))
% collapsed.
% Rule
% [134] mult(op_d,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(A,op_d)))
% collapsed.
% Rule
% [135]
% mult(rd(A,op_d),mult(op_d,A)) ->
% rd(mult(op_d,rd(A,op_d)),rd(rd(op_d,A),op_d)) collapsed.
% Rule
% [138] mult(A,mult(op_d,mult(A,op_d))) -> rd(mult(op_d,A),rd(rd(unit,A),op_d))
% collapsed.
% Rule
% [142] mult(A,mult(op_d,mult(op_c,A))) <-> mult(op_c,mult(A,mult(A,op_d)))
% collapsed.
% Rule
% [146]
% mult(A,mult(op_d,mult(op_c,A))) <-> mult(op_c,mult(op_d,rd(A,rd(unit,A))))
% collapsed.
% Rule
% [150]
% mult(A,mult(op_c,mult(op_d,A))) ->
% mult(op_d,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [152] mult(A,mult(op_d,mult(op_d,A))) <-> mult(op_d,mult(A,mult(A,op_d)))
% collapsed.
% Rule
% [153] mult(op_d,mult(A,mult(A,op_d))) <-> mult(A,mult(op_d,mult(op_d,A)))
% collapsed.
% Rule
% [154]
% mult(A,mult(op_c,mult(op_d,A))) -> mult(op_d,mult(op_c,rd(A,rd(unit,A))))
% collapsed.
% Rule
% [156] mult(A,mult(op_d,mult(op_d,A))) -> rd(mult(op_d,A),rd(rd(unit,A),op_d))
% collapsed.
% Rule [163] mult(op_d,mult(A,op_d)) <-> mult(A,rd(op_d,rd(unit,op_d)))
% collapsed.
% Rule [169] mult(op_d,mult(op_d,A)) <-> mult(A,rd(op_d,rd(unit,op_d)))
% collapsed.
% Rule [194] mult(op_d,rd(A,rd(op_d,rd(unit,op_d)))) -> rd(A,op_d) collapsed.
% Rule [208] mult(rd(unit,A),mult(op_d,A)) -> op_d collapsed.
% Rule [212] mult(op_d,mult(A,rd(A,op_d))) -> rd(A,rd(unit,A)) collapsed.
% Rule [215] rd(op_d,mult(op_d,A)) -> rd(unit,A) collapsed.
% Rule [222] mult(A,mult(op_d,rd(unit,A))) -> op_d collapsed.
% Rule [226] mult(op_d,rd(unit,rd(op_d,A))) -> A collapsed.
% Rule [231] mult(rd(unit,A),mult(op_d,rd(A,rd(unit,A)))) -> mult(A,op_d)
% collapsed.
% Rule [234] rd(mult(op_d,A),mult(op_d,rd(unit,A))) -> rd(A,rd(unit,A))
% collapsed.
% Rule [241] mult(rd(A,B),mult(op_d,rd(B,A))) -> op_d collapsed.
% Rule [250] rd(mult(op_d,A),mult(A,mult(A,op_d))) -> rd(unit,A) collapsed.
% Rule [256] rd(rd(A,op_d),mult(op_d,A)) -> rd(unit,rd(op_d,rd(unit,op_d)))
% collapsed.
% Rule [258] rd(A,mult(op_d,rd(op_d,A))) -> rd(rd(A,op_d),rd(op_d,A))
% collapsed.
% Rule [268] rd(A,mult(op_d,mult(A,op_d))) -> rd(unit,rd(op_d,rd(unit,op_d)))
% collapsed.
% Rule [270] rd(op_d,mult(A,mult(op_d,A))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Rule
% [274]
% mult(op_d,rd(op_c,rd(op_d,op_c))) -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% collapsed.
% Rule [280] rd(mult(op_d,rd(A,rd(unit,A))),mult(A,op_d)) -> A collapsed.
% Rule [285] rd(unit,rd(mult(op_d,A),mult(op_d,rd(A,rd(unit,A))))) -> A
% collapsed.
% Rule [287] rd(unit,rd(rd(A,rd(unit,A)),mult(A,mult(op_d,A)))) -> op_d
% collapsed.
% Rule [293] rd(mult(A,op_d),mult(A,mult(op_d,A))) -> rd(unit,A) collapsed.
% Rule [301] mult(op_d,rd(op_d,op_c)) -> rd(op_d,rd(op_c,op_d)) collapsed.
% Rule
% [339]
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(A,op_d))))))
% <-> mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [345] mult(rd(unit,A),mult(op_d,mult(A,mult(B,A)))) <-> mult(B,mult(A,op_d))
% collapsed.
% Rule
% [347]
% rd(unit,rd(B,mult(op_d,mult(A,mult(op_d,B))))) <-> mult(op_d,mult(op_d,A))
% collapsed.
% Rule
% [348]
% mult(op_d,mult(op_d,A)) <-> rd(unit,rd(B,mult(op_d,mult(A,mult(op_d,B)))))
% collapsed.
% Rule
% [354]
% rd(unit,rd(B,mult(A,mult(op_d,mult(A,B))))) -> mult(op_d,rd(A,rd(unit,A)))
% collapsed.
% Rule
% [360]
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% mult(op_d,A))))))
% <-> mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [365]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,
% rd(A,rd(unit,A))))))
% -> mult(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [366]
% rd(unit,rd(op_c,mult(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% <-> mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [368] mult(B,mult(op_d,A)) <-> mult(rd(unit,A),mult(op_d,mult(A,mult(B,A))))
% collapsed.
% Rule
% [369] mult(rd(unit,A),mult(op_d,mult(A,mult(B,A)))) <-> mult(B,mult(op_d,A))
% collapsed.
% Rule
% [370] rd(unit,rd(op_d,mult(A,mult(B,mult(op_d,A))))) -> mult(A,mult(B,A))
% collapsed.
% Rule
% [371]
% mult(rd(unit,A),mult(op_d,mult(A,rd(A,rd(unit,A))))) ->
% mult(op_d,rd(A,rd(unit,A))) collapsed.
% Rule
% [372]
% rd(unit,rd(op_d,mult(A,mult(op_d,rd(A,rd(unit,A)))))) ->
% mult(A,rd(A,rd(unit,A))) collapsed.
% Rule
% [373]
% mult(rd(unit,A),mult(op_d,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,op_d))) collapsed.
% Rule
% [374]
% mult(rd(unit,A),mult(op_d,mult(A,mult(A,op_d)))) -> mult(op_d,mult(A,op_d))
% collapsed.
% Rule
% [377]
% rd(unit,rd(op_d,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(op_d,A))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [378]
% rd(unit,rd(B,mult(op_d,mult(A,mult(B,op_d))))) -> mult(op_d,mult(A,op_d))
% collapsed.
% Rule [382] rd(mult(A,op_d),mult(op_d,A)) -> unit collapsed.
% Rule [384] mult(op_d,mult(op_d,rd(A,B))) -> rd(mult(op_d,A),rd(B,op_d))
% collapsed.
% Rule [385] rd(mult(op_d,A),mult(A,op_d)) -> unit collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(rd(unit,a),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(a,
% mult(
% rd(unit,
% rd(op_d,
% rd(op_c,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))),a))))))))))) = 
% mult(a,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,rd(unit,op_d)))))
% 
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 125
% Rule [158]
% mult(rd(A,op_d),mult(A,op_d)) ->
% rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,op_d))))),rd(rd(op_d,A),op_d)) is composed into 
% [158] mult(rd(A,op_d),mult(A,op_d)) -> rd(A,rd(rd(op_d,A),op_d))
% New rule produced : [387] rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,op_d))))) -> A
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [388]
% rd(unit,rd(rd(B,op_c),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B)))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [389]
% rd(unit,rd(rd(B,op_d),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [390]
% rd(unit,rd(A,mult(A,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [391]
% rd(unit,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,A)))))))))
% -> mult(A,rd(A,rd(unit,A)))
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [392]
% rd(unit,rd(A,mult(A,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) ->
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))
% Current number of equations to process: 3247
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [393]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,rd(unit,A)),
% rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [394]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(A,rd(unit,A))))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% Current number of equations to process: 3307
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [395]
% rd(unit,rd(A,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [396]
% rd(unit,rd(A,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A)))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [397]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(unit,A)))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3406
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [398]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% <-> mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))
% Current number of equations to process: 3456
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [399]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) <->
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% Current number of equations to process: 3456
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [400]
% rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% -> A
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [401]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> A
% Current number of equations to process: 3562
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [402]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [403]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),mult(A,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> op_c
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [404]
% mult(rd(unit,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),mult(A,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))
% -> op_c
% Current number of equations to process: 3644
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [405]
% rd(unit,rd(A,mult(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3665
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [406]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))))
% -> A
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [407]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,
% rd(op_d,
% rd(unit,op_d)))))))))))
% -> A
% Current number of equations to process: 3725
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [408]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A)))))))))
% -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3742
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [409]
% mult(rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A)))))))))
% -> op_d
% Current number of equations to process: 3788
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [410]
% rd(unit,rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))
% -> op_d
% Current number of equations to process: 3811
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [411]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A))))))))))
% -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [412]
% mult(rd(op_c,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [413]
% mult(rd(op_d,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [414]
% mult(rd(unit,rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))),rd(A,op_c)) ->
% op_c
% Current number of equations to process: 3890
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [415] rd(rd(A,op_c),rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) -> op_c
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [416] mult(rd(unit,rd(A,rd(op_d,rd(unit,op_d)))),rd(A,op_d)) -> op_d
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [417] rd(rd(A,op_d),rd(A,rd(op_d,rd(unit,op_d)))) -> op_d
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [418]
% rd(A,rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3922
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [419] mult(A,mult(A,mult(rd(unit,rd(A,rd(unit,A))),B))) -> B
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [420]
% rd(unit,rd(op_d,mult(A,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) ->
% mult(A,mult(B,A))
% Current number of equations to process: 3999
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [421]
% rd(unit,rd(op_c,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% -> mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [422]
% rd(unit,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,A)))))))))))
% -> mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))
% Current number of equations to process: 4086
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [423] rd(rd(unit,A),rd(unit,rd(A,rd(unit,A)))) -> A
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [424]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(unit,A),rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4162
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [425]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(unit,A))))))))))
% -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [426] rd(unit,rd(op_c,rd(op_d,rd(unit,op_d)))) -> rd(op_d,rd(op_c,op_d))
% Current number of equations to process: 4232
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [427]
% rd(rd(op_c,op_d),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(unit,rd(op_d,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 4254
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [428] mult(A,rd(A,op_c)) -> rd(unit,rd(op_c,rd(A,rd(unit,A))))
% Rule [211] mult(op_c,mult(A,rd(A,op_c))) -> rd(A,rd(unit,A)) collapsed.
% Rule [248] rd(unit,mult(A,rd(A,op_c))) -> rd(op_c,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 4267
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [429] mult(A,rd(A,op_d)) -> rd(unit,rd(op_d,rd(A,rd(unit,A))))
% Rule [249] rd(unit,mult(A,rd(A,op_d))) -> rd(op_d,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [430]
% rd(op_c,mult(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(unit,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [431]
% rd(op_c,rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4307
% Current number of ordered equations: 0
% Current number of rules: 167
% Rule [427]
% rd(rd(op_c,op_d),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(unit,rd(op_d,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) is composed into 
% [427]
% rd(rd(op_c,op_d),rd(op_d,rd(op_c,rd(unit,op_d)))) -> rd(op_c,rd(op_d,op_c))
% New rule produced :
% [432]
% rd(unit,rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(A,op_c))
% Rule
% [414]
% mult(rd(unit,rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))),rd(A,op_c)) ->
% op_c collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(rd(unit,a),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(a,
% mult(
% rd(op_c,
% rd(op_d,op_c)),a))))))))))) = 
% mult(a,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,rd(unit,op_d)))))
% 
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [433]
% rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))))
% -> rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))
% Rule
% [406]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))))
% -> A collapsed.
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [434] rd(unit,rd(A,rd(op_d,rd(unit,op_d)))) -> rd(op_d,rd(A,op_d))
% Rule [416] mult(rd(unit,rd(A,rd(op_d,rd(unit,op_d)))),rd(A,op_d)) -> op_d
% collapsed.
% Rule [426] rd(unit,rd(op_c,rd(op_d,rd(unit,op_d)))) -> rd(op_d,rd(op_c,op_d))
% collapsed.
% Current number of equations to process: 4375
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [435]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(unit,rd(op_d,A))))))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 4400
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [436] rd(rd(op_d,op_c),rd(op_c,op_d)) -> rd(op_d,rd(op_c,rd(op_d,op_c)))
% Current number of equations to process: 4412
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [437]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(A,rd(unit,A)),
% rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> A
% Current number of equations to process: 4441
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [438]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(unit,rd(op_c,A))))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [439]
% rd(unit,rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(A,
% rd(unit,A))))))))
% -> A
% Current number of equations to process: 4520
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [440]
% rd(unit,rd(rd(A,op_d),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) ->
% rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [441] rd(A,rd(unit,rd(op_d,rd(A,op_d)))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4626
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [442]
% rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(unit,A),rd(op_d,rd(op_c,
% rd(unit,op_d)))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 4631
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [443]
% rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))),rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(unit,A))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [444]
% rd(unit,rd(rd(A,op_c),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [445]
% rd(A,rd(unit,rd(op_c,rd(A,op_c)))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [446]
% rd(unit,rd(op_c,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 4732
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [447]
% rd(unit,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [448] mult(rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A),rd(A,op_c)) -> op_c
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [449] mult(rd(op_d,rd(unit,rd(op_d,A))),rd(A,op_d)) -> op_d
% Current number of equations to process: 4827
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [450]
% rd(rd(op_d,rd(op_c,rd(op_d,op_c))),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(op_d,rd(op_c,op_d))
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [451]
% mult(rd(op_c,rd(unit,rd(op_c,A))),A) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4845
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [452] mult(rd(op_d,rd(unit,rd(op_d,A))),A) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4876
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [453] mult(A,rd(op_d,rd(A,op_d))) -> rd(op_d,rd(unit,op_d))
% Rule [275] mult(op_c,rd(op_d,rd(op_c,op_d))) -> rd(op_d,rd(unit,op_d))
% collapsed.
% Current number of equations to process: 4896
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [454]
% mult(A,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(A,rd(unit,A)),rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))
% -> unit
% Current number of equations to process: 4915
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [455]
% mult(rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(A,rd(unit,A)),rd(op_d,
% rd(op_c,
% rd(unit,op_d))))),A)
% -> unit
% Current number of equations to process: 4937
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [456] rd(unit,rd(op_c,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),A)))) -> A
% Current number of equations to process: 4951
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [457]
% mult(rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A)))))
% -> op_d
% Current number of equations to process: 4985
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [458] mult(A,mult(rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),B)) -> B
% Current number of equations to process: 1668
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [459] mult(rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),mult(A,B)) -> B
% Current number of equations to process: 1706
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [460]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_c,rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% -> op_c
% Current number of equations to process: 1769
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [461]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))))
% -> op_d
% Current number of equations to process: 1791
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [462] rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(op_c,A)))) -> A
% Current number of equations to process: 1812
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [463] mult(A,rd(op_c,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),A)))) -> unit
% Current number of equations to process: 1852
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [464] mult(rd(A,B),rd(rd(B,A),rd(op_d,rd(op_c,rd(unit,op_d))))) -> op_c
% Current number of equations to process: 1877
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [465]
% rd(rd(op_d,rd(op_c,op_d)),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(op_d,rd(unit,op_d))
% Rule
% [376]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(op_d,rd(op_c,op_d)),
% rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))))) collapsed.
% Current number of equations to process: 1913
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [466] mult(rd(op_c,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),A))),A) -> unit
% Current number of equations to process: 1924
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced : [467] rd(rd(A,op_c),rd(op_d,rd(op_c,rd(unit,op_d)))) -> A
% Current number of equations to process: 1943
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [468] mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),A))) -> op_c
% Current number of equations to process: 1960
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [469] mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,A)))) -> op_c
% Current number of equations to process: 2014
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [470] rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) -> A
% Current number of equations to process: 2067
% Current number of ordered equations: 1
% Current number of rules: 200
% Rule [431]
% rd(op_c,rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) is composed into 
% [431]
% rd(op_c,rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(op_c,rd(unit,op_d)))
% New rule produced :
% [471] rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))) -> rd(op_c,rd(unit,op_d))
% Rule
% [340]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% mult(A,op_d)))))))))
% collapsed.
% Rule [349] rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d)))))) -> op_c
% collapsed.
% Rule
% [361]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))))
% collapsed.
% Rule
% [367]
% mult(A,rd(op_d,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% collapsed.
% Current number of equations to process: 2116
% Current number of ordered equations: 0
% Current number of rules: 197
% Rule [389]
% rd(unit,rd(rd(B,op_d),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) is composed into 
% [389]
% rd(unit,rd(rd(B,op_d),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A))))
% Rule [168]
% mult(A,rd(op_d,rd(unit,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) is composed into 
% [168] mult(A,rd(op_d,rd(unit,op_d))) -> rd(op_d,rd(unit,rd(op_d,rd(unit,A))))
% New rule produced :
% [472]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A))))
% Rule
% [394]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(A,rd(unit,A))))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% collapsed.
% Rule
% [396]
% rd(unit,rd(A,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A)))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% collapsed.
% Rule
% [407]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,
% rd(op_d,
% rd(unit,op_d)))))))))))
% -> A collapsed.
% Rule
% [408]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A)))))))))
% -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule
% [409]
% mult(rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A)))))))))
% -> op_d collapsed.
% Rule
% [410]
% rd(unit,rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))
% -> op_d collapsed.
% Rule
% [411]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A))))))))))
% -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule
% [422]
% rd(unit,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,A)))))))))))
% -> mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) collapsed.
% Rule
% [425]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(unit,A))))))))))
% -> rd(op_d,rd(unit,op_d)) collapsed.
% Rule
% [433]
% rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))))
% -> rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) collapsed.
% Current number of equations to process: 2149
% Current number of ordered equations: 0
% Current number of rules: 188
% Rule [421]
% rd(unit,rd(op_c,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))))
% -> mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) is composed into 
% [421]
% rd(unit,rd(op_c,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% -> rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))
% Rule [398]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% <-> mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) is composed into 
% [398]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% -> rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))
% New rule produced :
% [473]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))
% Rule
% [392]
% rd(unit,rd(A,mult(A,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) ->
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) collapsed.
% Rule
% [399]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) <->
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% collapsed.
% Rule
% [447]
% rd(unit,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))) ->
% rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 2173
% Current number of ordered equations: 0
% Current number of rules: 186
% Rule [473]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) is composed into 
% [473]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Rule [421]
% rd(unit,rd(op_c,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))))
% -> rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) is composed into 
% [421]
% rd(unit,rd(op_c,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% -> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Rule [398]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% -> rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) is composed into 
% [398]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% -> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% New rule produced :
% [474]
% rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) ->
% rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 187
% Rule [420]
% rd(unit,rd(op_d,mult(A,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% -> mult(A,mult(B,A)) is composed into [420]
% rd(unit,rd(op_d,mult(A,mult(B,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))
% ->
% rd(unit,rd(rd(unit,A),mult(A,B)))
% Rule [380] rd(mult(A,mult(B,C)),mult(rd(unit,A),C)) <-> mult(A,mult(B,A)) is composed into 
% [380]
% rd(mult(A,mult(B,C)),mult(rd(unit,A),C)) -> rd(unit,rd(rd(unit,A),mult(A,B)))
% Rule [356]
% mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,
% mult(B,A))))) is composed into 
% [356]
% mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% mult(A,B))))))
% Rule [346]
% rd(unit,rd(op_d,mult(A,mult(B,mult(A,op_d))))) -> mult(A,mult(B,A)) is composed into 
% [346]
% rd(unit,rd(op_d,mult(A,mult(B,mult(A,op_d))))) ->
% rd(unit,rd(rd(unit,A),mult(A,B)))
% Rule [344]
% mult(B,mult(A,op_d)) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(B,A))))))) is composed into 
% [344]
% mult(B,mult(A,op_d)) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% mult(A,B))))))))
% Rule [341]
% rd(unit,rd(op_c,mult(A,mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))
% -> mult(A,mult(B,A)) is composed into [341]
% rd(unit,rd(op_c,mult(A,mult(B,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% ->
% rd(unit,rd(rd(unit,A),mult(A,B)))
% Rule [110] mult(A,mult(B,mult(op_c,A))) <-> mult(op_c,mult(A,mult(B,A))) is composed into 
% [110]
% mult(A,mult(B,mult(op_c,A))) <-> mult(op_c,rd(unit,rd(rd(unit,A),mult(A,B))))
% Rule [97]
% mult(A,mult(B,mult(A,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(B,A)))))) is composed into 
% [97]
% mult(A,mult(B,mult(A,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),mult(A,B)))))))
% New rule produced :
% [475] mult(A,mult(B,A)) -> rd(unit,rd(rd(unit,A),mult(A,B)))
% Rule [38] mult(A,mult(op_c,A)) <-> mult(op_c,rd(A,rd(unit,A))) collapsed.
% Rule
% [94]
% mult(op_c,mult(A,mult(B,A))) <->
% mult(A,mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) collapsed.
% Rule [111] mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(op_c,A)))
% collapsed.
% Rule [269] rd(op_c,mult(A,mult(op_c,A))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Rule [284] rd(unit,rd(rd(A,rd(unit,A)),mult(A,mult(op_c,A)))) -> op_c
% collapsed.
% Rule
% [298]
% mult(rd(unit,A),mult(op_c,mult(A,mult(B,A)))) <->
% mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [357]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(B,A)))))
% <-> mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule [379] mult(A,mult(B,A)) <-> rd(mult(A,mult(B,C)),mult(rd(unit,A),C))
% collapsed.
% Rule [381] mult(A,mult(rd(B,mult(A,C)),A)) -> rd(mult(A,B),C) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(rd(unit,a),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(unit,
% rd(rd(unit,a),
% mult(a,
% rd(op_c,
% rd(op_d,op_c)))))))))))))) = 
% mult(a,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,rd(unit,op_d)))))
% 
% Current number of equations to process: 2284
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [476] mult(rd(unit,rd(op_c,A)),A) -> rd(A,rd(op_c,A))
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [477] mult(rd(op_c,A),rd(A,rd(op_c,A))) -> A
% Rule [306] mult(rd(op_c,op_d),rd(op_d,rd(op_c,op_d))) -> op_d collapsed.
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [478] rd(A,rd(A,rd(op_c,A))) -> rd(op_c,A)
% Rule [304] rd(op_d,rd(op_d,rd(op_c,op_d))) -> rd(op_c,op_d) collapsed.
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [479] rd(A,mult(rd(unit,A),rd(unit,B))) -> rd(unit,rd(rd(unit,A),mult(A,B)))
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [480]
% rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))),B) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,B)))))))))
% Rule
% [439]
% rd(unit,rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(A,
% rd(unit,A))))))))
% -> A collapsed.
% Rule
% [443]
% rd(rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))),rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(unit,A))))))
% -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [481] rd(unit,rd(rd(unit,A),mult(A,rd(op_c,rd(A,rd(unit,A)))))) -> op_c
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [482] rd(unit,rd(rd(unit,A),mult(A,rd(op_d,rd(A,rd(unit,A)))))) -> op_d
% Current number of equations to process: 2619
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [483]
% rd(unit,rd(rd(unit,op_d),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A))))
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [484] rd(rd(op_d,op_c),rd(unit,op_d)) -> rd(op_d,rd(op_c,op_d))
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [485] mult(rd(op_d,rd(op_c,op_d)),rd(unit,op_d)) -> rd(op_d,op_c)
% Current number of equations to process: 2732
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [486] mult(A,rd(unit,rd(op_d,rd(op_d,rd(A,op_d))))) -> op_d
% Current number of equations to process: 2734
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [487] mult(A,rd(op_d,rd(unit,rd(op_d,A)))) -> rd(op_d,rd(unit,op_d))
% Rule
% [413]
% mult(rd(op_d,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(op_d,rd(unit,op_d)) collapsed.
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [488] mult(rd(op_d,op_c),rd(op_c,rd(unit,op_d))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [489] mult(rd(op_c,rd(unit,rd(op_c,A))),rd(A,op_c)) -> op_c
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [490] mult(rd(op_c,rd(unit,op_d)),rd(op_d,op_c)) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [491] rd(op_d,rd(op_d,rd(op_c,rd(op_d,op_c)))) -> rd(op_c,rd(op_d,op_c))
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [492]
% mult(A,mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),mult(A,B)))))
% Rule
% [341]
% rd(unit,rd(op_c,mult(A,mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))) ->
% rd(unit,rd(rd(unit,A),mult(A,B))) collapsed.
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 190
% Rule [397]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,
% rd(unit,A)))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) is composed into 
% [397]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(unit,A)))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule [363]
% rd(unit,rd(op_c,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) is composed into 
% [363]
% rd(unit,rd(op_c,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule [358]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,
% rd(A,
% rd(unit,A))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) is composed into 
% [358]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,
% rd(unit,A))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule [353]
% mult(A,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) is composed into 
% [353]
% mult(A,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule [350]
% rd(unit,rd(B,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) is composed into 
% [350]
% rd(unit,rd(B,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule [140]
% mult(A,mult(op_c,mult(op_c,A))) ->
% mult(op_c,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d))))) is composed into 
% [140]
% mult(A,mult(op_c,mult(op_c,A))) ->
% mult(op_c,rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))
% Rule [131]
% mult(A,mult(op_c,mult(A,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,
% rd(unit,op_d)))))))) is composed into 
% [131]
% mult(A,mult(op_c,mult(A,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))))
% New rule produced :
% [493]
% rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule
% [359]
% rd(unit,rd(op_c,mult(A,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))))))
% -> mult(A,rd(A,rd(unit,A))) collapsed.
% Rule
% [362]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,rd(unit,A)),
% rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% collapsed.
% Rule
% [390]
% rd(unit,rd(A,mult(A,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))))))
% -> rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [393]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,rd(unit,A)),
% rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% collapsed.
% Rule
% [437]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(A,rd(unit,A)),
% rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> A collapsed.
% Rule
% [446]
% rd(unit,rd(op_c,rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(A,rd(unit,A)) collapsed.
% Rule
% [454]
% mult(A,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(A,rd(unit,A)),rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))
% -> unit collapsed.
% Rule
% [455]
% mult(rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(A,rd(unit,A)),rd(op_d,
% rd(op_c,
% rd(unit,op_d))))),A)
% -> unit collapsed.
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [494] rd(unit,rd(B,mult(rd(A,B),A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [495]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),mult(A,rd(unit,rd(rd(unit,A),
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [496]
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [497]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(A,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(A,
% rd(unit,A)))))))))))))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [498]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(unit,rd(A,rd(unit,A)))),
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,
% rd(unit,A)))))))))))
% -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3140
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [499]
% rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(unit,op_d))
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [500] rd(A,mult(rd(unit,rd(A,B)),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 3231
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [501]
% mult(rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))
% -> rd(A,op_c)
% Current number of equations to process: 3328
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [502]
% mult(rd(unit,rd(A,rd(unit,A))),B) -> mult(rd(unit,A),mult(rd(unit,A),B))
% Rule
% [291] mult(rd(unit,rd(op_d,rd(unit,op_d))),B) -> rd(unit,rd(op_d,rd(B,op_d)))
% collapsed.
% Rule [419] mult(A,mult(A,mult(rd(unit,rd(A,rd(unit,A))),B))) -> B collapsed.
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [503]
% mult(rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))),A) ->
% rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Rule
% [501]
% mult(rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))
% -> rd(A,op_c) collapsed.
% Current number of equations to process: 3409
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [504]
% mult(A,mult(A,rd(A,rd(unit,A)))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 3429
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [505]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,op_c),
% rd(op_c,A)))))) ->
% rd(A,op_c)
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [506]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(rd(A,op_d),
% rd(op_d,A))))))))))))))
% -> rd(A,op_d)
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [507]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),mult(A,
% rd(B,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% -> mult(A,B)
% Current number of equations to process: 3549
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [508]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% mult(A,rd(A,
% rd(unit,A)))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 3613
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [509]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_c,rd(unit,op_d))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))))
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [510]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,A))))))
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 197
% Rule [119]
% mult(op_c,mult(A,mult(A,op_d))) ->
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))) is composed into 
% [119]
% mult(op_c,mult(A,mult(A,op_d))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(A,rd(unit,A))))))
% New rule produced :
% [511]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(A,rd(unit,A))))))
% Rule
% [421]
% rd(unit,rd(op_c,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% -> rd(op_d,rd(unit,rd(A,rd(unit,A)))) collapsed.
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [512]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% Rule
% [363]
% rd(unit,rd(op_c,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) collapsed.
% Rule
% [395]
% rd(unit,rd(A,mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% collapsed.
% Current number of equations to process: 3754
% Current number of ordered equations: 0
% Current number of rules: 196
% Rule [511]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(A,
% rd(unit,A)))))) is composed into 
% [511]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(unit,A))))))
% Rule [119]
% mult(op_c,mult(A,mult(A,op_d))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(A,
% rd(unit,A)))))) is composed into 
% [119]
% mult(op_c,mult(A,mult(A,op_d))) ->
% rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(unit,A))))))
% New rule produced :
% [513]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(A,rd(unit,A))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(unit,A))))))
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [514]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(unit,op_d))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(unit,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 3855
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [515]
% mult(rd(op_c,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))),A) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [516]
% mult(rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [517]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),mult(A,rd(B,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))))
% -> mult(A,B)
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [518]
% rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,A)))),mult(A,
% rd(A,
% rd(unit,A)))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 4027
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [519]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A)))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))))
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [520]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))))
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [521]
% mult(rd(op_d,rd(unit,rd(op_d,rd(unit,op_d)))),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))))))
% Current number of equations to process: 4216
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [522]
% mult(rd(op_d,rd(unit,rd(op_c,rd(unit,op_d)))),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,
% rd(op_d,op_c))))))))))
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [523]
% rd(unit,rd(rd(unit,A),mult(A,rd(A,rd(unit,A))))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [524]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(A,rd(op_d,
% rd(unit,
% rd(A,
% rd(unit,A)))))))))))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 4376
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [525]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))
% Current number of equations to process: 4458
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [526]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),
% rd(op_c,A))))))))
% -> rd(A,op_c)
% Current number of equations to process: 4502
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [527]
% mult(rd(op_c,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(
% rd(A,op_c),
% rd(op_c,A)))))))
% -> rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [528]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(rd(A,rd(op_c,rd(unit,op_d))),
% rd(op_d,rd(op_c,rd(unit,op_d))))))))))
% -> rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [529]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,
% rd(rd(A,op_d),
% rd(op_d,A))))))))))))))))
% -> rd(A,op_d)
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [530]
% mult(rd(op_d,A),rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A)))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))
% Current number of equations to process: 4641
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [531]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(unit,
% rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),
% rd(op_c,A))))))))))
% -> rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4649
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [532]
% mult(A,mult(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% Current number of equations to process: 4698
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [533]
% mult(A,mult(rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A),mult(A,B))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(B,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% Current number of equations to process: 4716
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [534]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(A,rd(unit,A)))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))))
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [535]
% mult(rd(op_d,rd(unit,rd(op_d,rd(unit,A)))),B) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,B)))))))))
% Rule
% [521]
% mult(rd(op_d,rd(unit,rd(op_d,rd(unit,op_d)))),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))))))
% collapsed.
% Current number of equations to process: 4870
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [536]
% rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))
% Rule
% [506]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(rd(A,op_d),
% rd(op_d,A))))))))))))))
% -> rd(A,op_d) collapsed.
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [537]
% rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))
% -> rd(A,op_c)
% Current number of equations to process: 1983
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [538] mult(C,mult(rd(unit,rd(C,mult(rd(unit,C),A))),mult(C,B))) -> mult(A,B)
% Current number of equations to process: 2023
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [539] rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) -> rd(unit,A)
% Rule [470] rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) -> A
% collapsed.
% Rule
% [472]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A)))) collapsed.
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [540]
% rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(unit,A),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> rd(unit,A)
% Current number of equations to process: 2210
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [541]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,rd(unit,A)))))))))))
% -> rd(unit,A)
% Current number of equations to process: 2236
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [542]
% rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),
% rd(op_c,A))))))) ->
% rd(op_c,A)
% Rule
% [526]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),
% rd(op_c,A))))))))
% -> rd(A,op_c) collapsed.
% Current number of equations to process: 2304
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [543]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,
% rd(rd(A,op_d),
% rd(op_d,A)))))))))))))))
% -> rd(op_d,A)
% Rule
% [529]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,
% rd(rd(A,op_d),
% rd(op_d,A))))))))))))))))
% -> rd(A,op_d) collapsed.
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [544]
% rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% -> rd(unit,A)
% Rule
% [400]
% rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% -> A collapsed.
% Current number of equations to process: 2345
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [545]
% rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),mult(A,rd(op_c,rd(op_d,rd(op_c,
% rd(unit,op_d))))))
% -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Rule
% [403]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),mult(A,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> op_c collapsed.
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [546]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,A)))))))))))))
% -> rd(unit,op_d)
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [547]
% mult(A,rd(unit,rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(A,rd(unit,A))))))))
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [548]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,mult(A,rd(unit,op_d))))))))
% -> rd(A,op_d)
% Current number of equations to process: 2495
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [549] rd(op_d,mult(A,rd(unit,op_d))) -> rd(op_d,rd(A,op_d))
% Rule
% [548]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,mult(A,rd(unit,op_d))))))))
% -> rd(A,op_d) collapsed.
% Current number of equations to process: 2530
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [550] rd(unit,mult(A,rd(unit,op_d))) -> rd(op_d,A)
% Current number of equations to process: 2555
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [551] rd(unit,A) <-> rd(op_d,rd(A,rd(unit,op_d)))
% Rule [334] rd(unit,op_c) -> rd(op_d,rd(op_c,rd(unit,op_d))) collapsed.
% Current number of equations to process: 2564
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced : [552] rd(op_d,rd(A,rd(unit,op_d))) <-> rd(unit,A)
% Current number of equations to process: 2564
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [553] mult(rd(op_d,A),mult(A,rd(unit,op_d))) -> unit
% Current number of equations to process: 2563
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [554] mult(A,rd(unit,op_d)) -> rd(unit,rd(op_d,A))
% Rule [224] mult(op_c,rd(unit,op_d)) -> rd(op_c,op_d) collapsed.
% Rule
% [329] mult(rd(op_d,op_c),rd(unit,op_d)) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% collapsed.
% Rule [485] mult(rd(op_d,rd(op_c,op_d)),rd(unit,op_d)) -> rd(op_d,op_c)
% collapsed.
% Rule [549] rd(op_d,mult(A,rd(unit,op_d))) -> rd(op_d,rd(A,op_d)) collapsed.
% Rule [550] rd(unit,mult(A,rd(unit,op_d))) -> rd(op_d,A) collapsed.
% Rule [553] mult(rd(op_d,A),mult(A,rd(unit,op_d))) -> unit collapsed.
% Current number of equations to process: 2563
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [555] mult(rd(op_d,rd(A,rd(unit,op_d))),A) -> unit
% Current number of equations to process: 2604
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [556] rd(unit,rd(op_d,rd(A,rd(unit,op_d)))) -> A
% Rule [330] rd(unit,rd(op_d,rd(op_c,rd(unit,op_d)))) -> op_c collapsed.
% Current number of equations to process: 2613
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [557] mult(A,rd(op_d,rd(A,rd(unit,op_d)))) -> unit
% Current number of equations to process: 2612
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [558] mult(rd(unit,A),rd(A,rd(unit,op_d))) -> op_d
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [559] rd(unit,rd(A,rd(A,rd(unit,op_d)))) -> op_d
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [560] rd(op_d,rd(unit,rd(rd(unit,op_d),A))) -> rd(unit,A)
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [561] mult(A,rd(unit,rd(op_d,rd(unit,A)))) -> rd(unit,op_d)
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [562] mult(rd(unit,A),rd(unit,rd(op_d,A))) -> rd(unit,op_d)
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [563] rd(rd(unit,op_d),rd(unit,rd(op_d,A))) -> rd(unit,A)
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [564] mult(A,rd(rd(unit,A),rd(unit,op_d))) -> op_d
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [565] rd(A,rd(A,rd(unit,op_d))) -> rd(unit,op_d)
% Rule [333] rd(op_c,rd(op_c,rd(unit,op_d))) -> rd(unit,op_d) collapsed.
% Rule [559] rd(unit,rd(A,rd(A,rd(unit,op_d)))) -> op_d collapsed.
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [566] mult(rd(unit,A),rd(A,op_d)) -> rd(unit,op_d)
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [567] rd(rd(unit,op_d),rd(A,op_d)) -> rd(unit,A)
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [568] rd(op_d,rd(op_d,rd(A,op_d))) <-> rd(rd(unit,op_d),rd(unit,A))
% Current number of equations to process: 3071
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [569] rd(rd(unit,op_d),rd(unit,A)) <-> rd(op_d,rd(op_d,rd(A,op_d)))
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [570] rd(rd(A,op_d),rd(unit,op_d)) -> A
% Rule [260] rd(rd(op_c,op_d),rd(unit,op_d)) -> op_c collapsed.
% Current number of equations to process: 3137
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [571] rd(A,rd(unit,rd(rd(unit,op_d),A))) -> rd(unit,op_d)
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [572] mult(rd(op_d,rd(A,op_d)),rd(unit,rd(op_d,A))) -> op_d
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [573] mult(A,mult(rd(op_d,rd(A,rd(unit,op_d))),B)) -> B
% Current number of equations to process: 3229
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [574] mult(rd(op_d,rd(A,rd(unit,op_d))),mult(A,B)) -> B
% Current number of equations to process: 3228
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [575] rd(A,rd(unit,op_d)) <-> rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))
% Rule [484] rd(rd(op_d,op_c),rd(unit,op_d)) -> rd(op_d,rd(op_c,op_d))
% collapsed.
% Rule [564] mult(A,rd(rd(unit,A),rd(unit,op_d))) -> op_d collapsed.
% Rule [570] rd(rd(A,op_d),rd(unit,op_d)) -> A collapsed.
% Current number of equations to process: 3228
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [576] rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))) <-> rd(A,rd(unit,op_d))
% Current number of equations to process: 3228
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [577] mult(rd(op_d,A),rd(A,rd(unit,op_d))) -> rd(op_d,rd(unit,op_d))
% Rule
% [488] mult(rd(op_d,op_c),rd(op_c,rd(unit,op_d))) -> rd(op_d,rd(unit,op_d))
% collapsed.
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [578] mult(rd(A,rd(unit,op_d)),rd(op_d,A)) -> rd(op_d,rd(unit,op_d))
% Rule
% [490] mult(rd(op_c,rd(unit,op_d)),rd(op_d,op_c)) -> rd(op_d,rd(unit,op_d))
% collapsed.
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [579] mult(rd(unit,A),rd(unit,rd(rd(unit,op_d),A))) -> op_d
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [580] mult(rd(A,B),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(B,A)))))) -> op_d
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [581] mult(A,rd(unit,rd(rd(unit,op_d),rd(unit,A)))) -> op_d
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [582]
% mult(A,rd(unit,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(op_d,rd(A,rd(unit,A))))))
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [583]
% mult(A,rd(op_d,rd(unit,rd(A,rd(unit,A))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))
% Rule
% [524]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(A,rd(op_d,
% rd(unit,
% rd(A,
% rd(unit,A)))))))))))))))
% -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 3603
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [584]
% mult(A,rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(unit,A)))))
% Rule
% [495]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),mult(A,rd(unit,rd(rd(unit,A),
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 3670
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [585]
% rd(op_c,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% mult(A,B)))))) ->
% rd(rd(unit,A),mult(A,B))
% Current number of equations to process: 3708
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [586]
% rd(op_c,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))))
% -> rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))
% Current number of equations to process: 3829
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [587]
% rd(op_c,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [588]
% rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(unit,A))))))) ->
% rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [589]
% rd(unit,mult(A,rd(op_c,rd(unit,op_d)))) ->
% rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% Current number of equations to process: 3954
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [590]
% rd(op_d,mult(A,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))) ->
% rd(rd(unit,A),mult(A,B))
% Rule
% [420]
% rd(unit,rd(op_d,mult(A,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))) ->
% rd(unit,rd(rd(unit,A),mult(A,B))) collapsed.
% Current number of equations to process: 4000
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [591]
% rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% <->
% rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))))
% Current number of equations to process: 4079
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [592]
% rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))))
% <->
% rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% Current number of equations to process: 4079
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [593]
% rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))))) ->
% rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [594]
% mult(rd(unit,rd(op_d,A)),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A))))))
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [595]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% mult(A,
% rd(unit,
% rd(op_c,A))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),rd(op_c,A))))))
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [596]
% rd(A,op_c) <->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),A))))
% Current number of equations to process: 4366
% Current number of ordered equations: 1
% Current number of rules: 252
% New rule produced :
% [597]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),A))))
% <-> rd(A,op_c)
% Current number of equations to process: 4366
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [598]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% -> rd(op_d,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [599]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(op_d,rd(unit,op_d)))))
% -> rd(op_c,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 4497
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [600]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(op_d,rd(unit,op_d))))))) ->
% rd(op_c,op_d)
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [601]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(op_c,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_d,op_c)
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [602]
% rd(unit,rd(op_c,rd(A,op_c))) <->
% rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A))
% Current number of equations to process: 4616
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced :
% [603]
% rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A)) <->
% rd(unit,rd(op_c,rd(A,op_c)))
% Current number of equations to process: 4616
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [604]
% rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(unit,rd(op_c,rd(unit,rd(op_c,A))))
% Current number of equations to process: 4755
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [605]
% rd(unit,rd(op_c,rd(unit,rd(op_c,A)))) <->
% rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [606] rd(A,rd(op_d,rd(unit,op_d))) <-> rd(unit,rd(op_d,rd(unit,rd(op_d,A))))
% Current number of equations to process: 4849
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [607] rd(unit,rd(op_d,rd(unit,rd(op_d,A)))) <-> rd(A,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [608] rd(unit,mult(A,rd(unit,rd(op_c,A)))) -> rd(op_c,rd(A,rd(unit,A)))
% Current number of equations to process: 4933
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [609] rd(unit,mult(A,rd(unit,rd(op_d,A)))) -> rd(op_d,rd(A,rd(unit,A)))
% Current number of equations to process: 4992
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [610]
% rd(A,mult(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Rule
% [405]
% rd(unit,rd(A,mult(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [611]
% rd(A,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))) <->
% rd(unit,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2255
% Current number of ordered equations: 1
% Current number of rules: 266
% Rule [611]
% rd(A,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))) <->
% rd(unit,rd(op_d,rd(unit,op_d))) is composed into [611]
% rd(A,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,A)))))
% <->
% rd(a,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,a)))))
% Rule [273] rd(rd(A,op_d),mult(A,op_d)) -> rd(unit,rd(op_d,rd(unit,op_d))) is composed into 
% [273]
% rd(rd(A,op_d),mult(A,op_d)) -> rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))
% New rule produced :
% [612]
% rd(unit,rd(op_d,rd(unit,op_d))) <->
% rd(A,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))
% Rule
% [599]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(op_d,rd(unit,op_d)))))
% -> rd(op_c,rd(op_d,rd(unit,op_d))) collapsed.
% Current number of equations to process: 2256
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [613]
% rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% -> rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 2365
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [614] rd(A,mult(A,rd(A,rd(unit,A)))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 2380
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [615]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))))))
% -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [616]
% rd(rd(unit,rd(op_c,A)),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 2551
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [617]
% rd(rd(unit,rd(op_d,A)),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))
% Current number of equations to process: 2575
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [618]
% rd(unit,rd(op_c,rd(unit,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))) ->
% rd(A,op_c)
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [619]
% rd(rd(A,op_c),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Rule
% [444]
% rd(unit,rd(rd(A,op_c),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [620]
% mult(rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A)))))
% -> rd(A,op_d)
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [621]
% rd(rd(A,rd(unit,A)),rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))
% -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [622]
% rd(rd(A,rd(unit,A)),rd(op_d,rd(unit,rd(A,rd(unit,A))))) -> rd(unit,op_d)
% Current number of equations to process: 2763
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [623]
% rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,op_c),rd(op_c,A)))))
% -> rd(op_c,A)
% Rule
% [505]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,op_c),
% rd(op_c,A)))))) ->
% rd(A,op_c) collapsed.
% Current number of equations to process: 2828
% Current number of ordered equations: 0
% Current number of rules: 275
% Rule [595]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,
% rd(rd(unit,A),
% mult(A,
% rd(unit,
% rd(op_c,A))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),
% rd(op_c,A)))))) is composed into 
% [595]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% mult(A,
% rd(unit,
% rd(op_c,A))))))))
% -> rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_c,A))))
% New rule produced :
% [624]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,op_c),rd(op_c,A)))) ->
% rd(A,rd(op_c,A))
% Rule
% [527]
% mult(rd(op_c,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(
% rd(A,op_c),
% rd(op_c,A)))))))
% -> rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [531]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(unit,
% rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),
% rd(op_c,A))))))))))
% -> rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [542]
% rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(rd(A,op_c),
% rd(op_c,A))))))) ->
% rd(op_c,A) collapsed.
% Rule
% [623]
% rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,op_c),rd(op_c,A)))))
% -> rd(op_c,A) collapsed.
% Current number of equations to process: 2846
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [625]
% rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(rd(A,op_d),rd(op_d,A))))))) ->
% rd(op_d,A)
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [626]
% mult(rd(unit,rd(op_d,A)),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(rd(A,op_d),rd(op_d,A))))))
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [627]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(a,rd(op_d,rd(unit,rd(op_d,
% rd(unit,a)))))))
% -> rd(op_c,rd(op_d,rd(unit,op_d)))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [628]
% mult(rd(B,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B))))
% Current number of equations to process: 3027
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [629]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B)))) <->
% mult(rd(B,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 3027
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [630]
% mult(A,rd(op_c,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% Current number of equations to process: 3238
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [631] mult(A,mult(rd(B,A),rd(A,op_c))) -> rd(unit,rd(op_c,mult(A,B)))
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [632] rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,op_c)) -> rd(unit,A)
% Current number of equations to process: 3332
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [633]
% mult(rd(A,B),rd(unit,rd(op_c,rd(B,A)))) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [634]
% rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(op_c,rd(A,rd(unit,A))))) ->
% rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 3405
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [635]
% rd(unit,rd(op_d,rd(op_c,rd(op_d,op_c)))) -> rd(op_c,rd(op_d,rd(op_c,op_d)))
% Current number of equations to process: 3455
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [636]
% mult(rd(op_d,rd(op_c,op_d)),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,A))))))))))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [637]
% rd(unit,rd(op_c,rd(op_d,rd(op_c,op_d)))) -> rd(op_d,rd(op_c,rd(op_d,op_c)))
% Current number of equations to process: 3538
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [638]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(rd(A,op_c),rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% <-> mult(A,mult(rd(op_c,A),mult(A,B)))
% Current number of equations to process: 3596
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [639]
% mult(A,mult(rd(op_c,A),mult(A,B))) <->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(rd(A,op_c),rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [640]
% rd(rd(op_c,op_d),rd(op_c,rd(unit,op_d))) ->
% rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))
% Current number of equations to process: 3824
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [641]
% rd(A,rd(A,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) <-> rd(unit,A)
% Current number of equations to process: 3830
% Current number of ordered equations: 2
% Current number of rules: 289
% New rule produced :
% [642]
% rd(unit,A) <-> rd(A,rd(A,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))
% Current number of equations to process: 3830
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [643]
% mult(rd(op_c,rd(A,rd(op_c,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))),
% rd(A,op_c)) -> rd(op_c,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 4083
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [644]
% rd(rd(unit,op_d),rd(op_c,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,op_d)
% Current number of equations to process: 4102
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [645]
% rd(op_c,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(op_d,rd(op_c,rd(unit,op_d)))
% Rule
% [643]
% mult(rd(op_c,rd(A,rd(op_c,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))),
% rd(A,op_c)) -> rd(op_c,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [644]
% rd(rd(unit,op_d),rd(op_c,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,op_d) collapsed.
% Current number of equations to process: 4106
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [646]
% rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> rd(op_c,A)
% Rule
% [401]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> A collapsed.
% Rule
% [601]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(op_c,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_d,op_c) collapsed.
% Current number of equations to process: 4106
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [647]
% mult(rd(op_d,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))),rd(op_c,op_d)) ->
% rd(op_d,rd(op_c,rd(unit,op_d)))
% Current number of equations to process: 4115
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [648] rd(rd(unit,op_d),rd(op_d,rd(op_c,rd(unit,op_d)))) -> rd(op_c,op_d)
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [649]
% mult(rd(B,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B))))))
% Current number of equations to process: 4127
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [650]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B)))))) <->
% mult(rd(B,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [651] rd(rd(unit,A),mult(A,rd(B,A))) -> rd(unit,mult(A,B))
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [652]
% mult(A,rd(op_d,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))))))
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [653]
% rd(unit,rd(rd(unit,A),mult(A,rd(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))))
% -> rd(unit,rd(op_d,mult(A,B)))
% Rule
% [517]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),mult(A,rd(B,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))))
% -> mult(A,B) collapsed.
% Current number of equations to process: 4537
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [654]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,B)))))) <->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))))
% Rule
% [440]
% rd(unit,rd(rd(A,op_d),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) ->
% rd(op_d,rd(unit,op_d)) collapsed.
% Rule
% [474]
% rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) ->
% rd(op_d,rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule
% [498]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(unit,rd(A,rd(unit,A)))),
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,
% rd(unit,A)))))))))))
% -> rd(op_d,rd(unit,op_d)) collapsed.
% Current number of equations to process: 4682
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [655]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))))
% <-> rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,B))))))
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [656]
% rd(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,B))))))))))
% -> rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))
% Current number of equations to process: 4900
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [657]
% rd(B,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B))))))) ->
% rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [658]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(A,rd(unit,A))))))) ->
% rd(op_d,rd(A,rd(unit,A)))
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 298
% Rule [352]
% mult(A,mult(A,op_d)) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,A)))))) is composed into 
% [352] mult(A,mult(A,op_d)) -> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Rule [35]
% mult(A,mult(A,op_d)) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,A)))))) is composed into 
% [35] mult(A,mult(A,op_d)) -> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% New rule produced :
% [659] rd(op_d,rd(op_d,rd(A,rd(unit,A)))) -> rd(A,rd(unit,A))
% Rule
% [391]
% rd(unit,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,A)))))))))
% -> mult(A,rd(A,rd(unit,A))) collapsed.
% Rule
% [497]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(A,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(A,
% rd(unit,A)))))))))))))))))
% -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 2560
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced : [660] mult(A,mult(A,rd(op_d,rd(A,rd(unit,A))))) -> op_d
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [661]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(unit,A))))))))))
% -> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [662]
% rd(mult(A,B),mult(rd(unit,A),C)) <-> rd(unit,rd(rd(unit,A),mult(A,rd(B,C))))
% Rule [232] rd(mult(A,B),mult(rd(unit,A),B)) -> rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 2837
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [663]
% rd(unit,rd(rd(unit,A),mult(A,rd(B,C)))) <-> rd(mult(A,B),mult(rd(unit,A),C))
% Current number of equations to process: 2837
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [664]
% rd(A,mult(rd(unit,A),rd(B,C))) -> rd(unit,rd(rd(unit,A),mult(A,rd(C,B))))
% Rule
% [479] rd(A,mult(rd(unit,A),rd(unit,B))) -> rd(unit,rd(rd(unit,A),mult(A,B)))
% collapsed.
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [665]
% rd(unit,rd(rd(unit,A),mult(A,rd(B,op_d)))) ->
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% mult(A,B)))))))))))
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [666] mult(rd(B,mult(A,C)),A) -> mult(rd(unit,A),rd(mult(A,B),C))
% Current number of equations to process: 3603
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [667]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,B)))))) ->
% rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,B))))))
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [668] rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) -> rd(unit,op_d)
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [669] mult(A,rd(unit,rd(op_c,A))) -> rd(unit,rd(op_c,rd(A,rd(unit,A))))
% Rule
% [438]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(unit,rd(op_c,A))))) ->
% rd(A,rd(unit,A)) collapsed.
% Rule
% [595]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% mult(A,
% rd(unit,
% rd(op_c,A))))))))
% -> rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_c,A)))) collapsed.
% Rule [608] rd(unit,mult(A,rd(unit,rd(op_c,A)))) -> rd(op_c,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 3871
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [670] mult(A,rd(unit,rd(op_d,A))) -> rd(unit,rd(op_d,rd(A,rd(unit,A))))
% Rule
% [435]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(unit,rd(op_d,A))))))) ->
% rd(A,rd(unit,A)) collapsed.
% Rule [609] rd(unit,mult(A,rd(unit,rd(op_d,A)))) -> rd(op_d,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [671] mult(rd(op_d,rd(op_c,rd(op_d,op_c))),rd(op_c,op_d)) -> rd(op_d,op_c)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 302
% Rule [584]
% mult(A,rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(unit,A))))) is composed into 
% [584]
% mult(A,rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(unit,rd(A,rd(unit,A))))))
% Rule [583]
% mult(A,rd(op_d,rd(unit,rd(A,rd(unit,A))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A))))))) is composed into 
% [583]
% mult(A,rd(op_d,rd(unit,rd(A,rd(unit,A))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,rd(A,rd(unit,A))))))))
% New rule produced :
% [672] mult(A,rd(A,rd(unit,A))) -> rd(A,rd(unit,rd(A,rd(unit,A))))
% Rule
% [358]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,
% rd(unit,A))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) collapsed.
% Rule
% [397]
% rd(unit,rd(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(unit,A)))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) collapsed.
% Rule
% [398]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,A)))))))))
% -> rd(op_d,rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule
% [504]
% mult(A,mult(A,rd(A,rd(unit,A)))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule
% [508]
% rd(unit,rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% mult(A,rd(A,
% rd(unit,A)))))))
% -> rd(A,rd(unit,A)) collapsed.
% Rule
% [518]
% rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,A)))),mult(A,
% rd(A,
% rd(unit,A)))))))
% -> rd(A,rd(unit,A)) collapsed.
% Rule
% [523]
% rd(unit,rd(rd(unit,A),mult(A,rd(A,rd(unit,A))))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(A,rd(unit,A)))) collapsed.
% Rule [614] rd(A,mult(A,rd(A,rd(unit,A)))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [673] mult(rd(A,rd(op_c,A)),A) -> rd(A,rd(unit,rd(A,rd(op_c,A))))
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [674] rd(unit,rd(rd(unit,op_d),A)) -> rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))
% Rule
% [483]
% rd(unit,rd(rd(unit,op_d),rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A)))) collapsed.
% Rule [560] rd(op_d,rd(unit,rd(rd(unit,op_d),A))) -> rd(unit,A) collapsed.
% Rule [571] rd(A,rd(unit,rd(rd(unit,op_d),A))) -> rd(unit,op_d) collapsed.
% Rule [579] mult(rd(unit,A),rd(unit,rd(rd(unit,op_d),A))) -> op_d collapsed.
% Rule [581] mult(A,rd(unit,rd(rd(unit,op_d),rd(unit,A)))) -> op_d collapsed.
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [675] mult(rd(op_c,rd(op_d,rd(unit,op_d))),rd(op_d,op_c)) -> rd(unit,op_d)
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [676] rd(rd(op_c,A),rd(unit,rd(op_c,A))) -> rd(op_c,rd(A,rd(op_c,A)))
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [677] rd(rd(op_c,A),rd(A,op_c)) -> rd(op_c,rd(A,rd(op_c,A)))
% Current number of equations to process: 4183
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [678] rd(A,mult(rd(B,A),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Rule [355] mult(rd(B,mult(rd(A,B),A)),A) -> mult(rd(unit,rd(A,B)),B)
% collapsed.
% Rule [494] rd(unit,rd(B,mult(rd(A,B),A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% collapsed.
% Current number of equations to process: 4238
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [679] rd(A,rd(A,rd(unit,rd(A,rd(unit,A))))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 4301
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [680] rd(A,rd(A,rd(op_d,rd(A,rd(unit,op_d))))) <-> rd(unit,A)
% Current number of equations to process: 4353
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [681] rd(unit,A) <-> rd(A,rd(A,rd(op_d,rd(A,rd(unit,op_d)))))
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [682] mult(rd(A,B),rd(unit,rd(op_d,rd(B,A)))) -> rd(unit,op_d)
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [683] mult(A,mult(rd(op_d,A),mult(A,B))) <-> mult(rd(A,rd(unit,op_d)),B)
% Current number of equations to process: 4599
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [684] mult(rd(A,rd(unit,op_d)),B) <-> mult(A,mult(rd(op_d,A),mult(A,B)))
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [685] mult(rd(A,rd(unit,op_d)),rd(unit,A)) -> mult(A,rd(op_d,A))
% Current number of equations to process: 4660
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [686] mult(rd(op_d,rd(op_d,rd(A,op_d))),rd(unit,A)) -> rd(unit,op_d)
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [687] mult(rd(op_d,A),rd(A,rd(op_d,rd(unit,op_d)))) -> rd(unit,op_d)
% Current number of equations to process: 4905
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [688] rd(rd(unit,op_d),rd(A,rd(op_d,rd(unit,op_d)))) -> rd(op_d,A)
% Current number of equations to process: 4924
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [689]
% rd(rd(A,op_d),rd(A,rd(unit,op_d))) ->
% rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))
% Rule
% [640]
% rd(rd(op_c,op_d),rd(op_c,rd(unit,op_d))) ->
% rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))) collapsed.
% Current number of equations to process: 4932
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [690] mult(rd(op_d,rd(A,rd(unit,op_d))),rd(A,op_d)) -> rd(unit,op_d)
% Current number of equations to process: 4943
% Current number of ordered equations: 0
% Current number of rules: 305
% Rule [568] rd(op_d,rd(op_d,rd(A,op_d))) <-> rd(rd(unit,op_d),rd(unit,A)) is composed into 
% [568] rd(op_d,rd(op_d,rd(A,op_d))) <-> rd(op_d,rd(op_d,rd(unit,rd(op_d,A))))
% New rule produced :
% [691] rd(rd(unit,op_d),rd(unit,A)) -> rd(op_d,rd(op_d,rd(unit,rd(op_d,A))))
% Rule [563] rd(rd(unit,op_d),rd(unit,rd(op_d,A))) -> rd(unit,A) collapsed.
% Rule [569] rd(rd(unit,op_d),rd(unit,A)) <-> rd(op_d,rd(op_d,rd(A,op_d)))
% collapsed.
% Current number of equations to process: 4955
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [692]
% rd(unit,rd(op_d,rd(op_d,rd(A,op_d)))) <->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,A)))))
% Current number of equations to process: 1746
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [693]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,A))))) <->
% rd(unit,rd(op_d,rd(op_d,rd(A,op_d))))
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [694] mult(A,rd(A,rd(unit,op_d))) -> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 1879
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [695] rd(rd(unit,A),rd(unit,rd(op_d,A))) -> rd(op_d,rd(A,rd(unit,A)))
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [696] rd(rd(unit,A),rd(A,op_d)) -> rd(op_d,rd(A,rd(unit,A)))
% Current number of equations to process: 1927
% Current number of ordered equations: 0
% Current number of rules: 309
% Rule [283] mult(rd(A,op_c),A) -> mult(op_c,rd(rd(A,op_c),rd(op_c,A))) is composed into 
% [283] mult(rd(A,op_c),A) -> mult(op_c,rd(unit,rd(op_c,rd(A,rd(op_c,A)))))
% Rule [257] rd(A,mult(op_c,rd(op_c,A))) -> rd(rd(A,op_c),rd(op_c,A)) is composed into 
% [257] rd(A,mult(op_c,rd(op_c,A))) -> rd(unit,rd(op_c,rd(A,rd(op_c,A))))
% Rule [120]
% mult(rd(A,op_c),mult(op_c,A)) ->
% mult(op_c,mult(op_c,rd(rd(A,op_c),rd(op_c,A)))) is composed into 
% [120]
% mult(rd(A,op_c),mult(op_c,A)) ->
% mult(op_c,mult(op_c,rd(unit,rd(op_c,rd(A,rd(op_c,A))))))
% New rule produced :
% [697] rd(rd(A,op_c),rd(op_c,A)) -> rd(unit,rd(op_c,rd(A,rd(op_c,A))))
% Rule [436] rd(rd(op_d,op_c),rd(op_c,op_d)) -> rd(op_d,rd(op_c,rd(op_d,op_c)))
% collapsed.
% Rule
% [624]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(A,op_c),rd(op_c,A)))) ->
% rd(A,rd(op_c,A)) collapsed.
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [698] rd(rd(op_c,op_d),rd(op_c,rd(op_d,rd(op_c,op_d)))) -> rd(op_d,op_c)
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [699] rd(rd(A,op_c),rd(unit,rd(op_c,rd(A,rd(op_c,A))))) -> rd(op_c,A)
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [700] mult(rd(unit,mult(A,B)),mult(A,rd(B,A))) -> rd(unit,A)
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [701] rd(rd(A,op_d),rd(unit,A)) -> rd(unit,rd(op_d,rd(A,rd(unit,A))))
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [702] mult(rd(op_c,rd(A,rd(op_c,A))),rd(A,op_c)) -> rd(op_c,A)
% Current number of equations to process: 2164
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [703] mult(rd(rd(unit,op_d),A),mult(A,rd(op_d,A))) -> rd(unit,A)
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [704] mult(rd(op_d,rd(A,rd(unit,A))),rd(A,op_d)) -> rd(unit,A)
% Current number of equations to process: 2225
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [705] mult(rd(op_d,op_c),rd(op_c,rd(op_d,rd(op_c,op_d)))) -> rd(op_c,op_d)
% Current number of equations to process: 2252
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [706] rd(op_c,rd(op_c,rd(op_d,rd(op_c,op_d)))) -> rd(op_d,rd(op_c,op_d))
% Current number of equations to process: 2253
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [707] rd(rd(op_d,op_c),rd(op_d,rd(op_c,rd(op_d,op_c)))) -> rd(op_c,op_d)
% Current number of equations to process: 2271
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [708] mult(rd(op_d,A),mult(A,rd(rd(unit,op_d),A))) -> rd(unit,A)
% Current number of equations to process: 2272
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [709] mult(rd(A,op_d),rd(unit,A)) -> mult(A,rd(rd(unit,op_d),A))
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [710] mult(rd(op_c,op_d),rd(op_d,rd(op_c,rd(op_d,op_c)))) -> rd(op_d,op_c)
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [711] mult(rd(unit,rd(op_d,A)),rd(unit,A)) -> mult(A,rd(rd(unit,op_d),A))
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [712] mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) -> op_d
% Current number of equations to process: 2421
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [713]
% rd(unit,rd(C,mult(A,mult(B,mult(A,C))))) -> rd(unit,rd(rd(unit,A),mult(A,B)))
% Rule
% [346]
% rd(unit,rd(op_d,mult(A,mult(B,mult(A,op_d))))) ->
% rd(unit,rd(rd(unit,A),mult(A,B))) collapsed.
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [714] rd(C,mult(A,mult(B,mult(A,C)))) -> rd(rd(unit,A),mult(A,B))
% Rule
% [713]
% rd(unit,rd(C,mult(A,mult(B,mult(A,C))))) -> rd(unit,rd(rd(unit,A),mult(A,B)))
% collapsed.
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [715] rd(rd(unit,B),mult(B,rd(unit,mult(B,A)))) -> rd(A,B)
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [716] mult(rd(A,B),mult(B,rd(unit,mult(B,A)))) -> rd(unit,B)
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [717] mult(rd(unit,rd(A,B)),rd(unit,B)) -> mult(B,rd(unit,mult(B,A)))
% Rule
% [711] mult(rd(unit,rd(op_d,A)),rd(unit,A)) -> mult(A,rd(rd(unit,op_d),A))
% collapsed.
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 325
% Rule [709] mult(rd(A,op_d),rd(unit,A)) -> mult(A,rd(rd(unit,op_d),A)) is composed into 
% [709]
% mult(rd(A,op_d),rd(unit,A)) ->
% mult(A,rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))
% New rule produced :
% [718]
% mult(A,rd(rd(unit,op_d),A)) ->
% mult(A,rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))
% Rule [708] mult(rd(op_d,A),mult(A,rd(rd(unit,op_d),A))) -> rd(unit,A)
% collapsed.
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [719] mult(rd(A,B),rd(unit,A)) -> mult(A,rd(unit,mult(A,B)))
% Rule [685] mult(rd(A,rd(unit,op_d)),rd(unit,A)) -> mult(A,rd(op_d,A))
% collapsed.
% Rule
% [709]
% mult(rd(A,op_d),rd(unit,A)) ->
% mult(A,rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) collapsed.
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [720] mult(B,rd(rd(unit,B),mult(B,A))) <-> mult(rd(unit,A),rd(unit,B))
% Current number of equations to process: 3363
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [721] mult(rd(unit,A),rd(unit,B)) <-> mult(B,rd(rd(unit,B),mult(B,A)))
% Rule
% [322] mult(rd(unit,A),rd(unit,rd(op_c,A))) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% collapsed.
% Rule [562] mult(rd(unit,A),rd(unit,rd(op_d,A))) -> rd(unit,op_d) collapsed.
% Rule [717] mult(rd(unit,rd(A,B)),rd(unit,B)) -> mult(B,rd(unit,mult(B,A)))
% collapsed.
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [722] mult(rd(unit,rd(A,B)),rd(unit,rd(B,A))) -> unit
% Current number of equations to process: 3414
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced : [723] mult(rd(op_c,rd(A,B)),rd(unit,rd(B,A))) -> op_c
% Current number of equations to process: 3463
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [724] mult(A,mult(B,rd(rd(unit,B),mult(B,A)))) -> rd(unit,B)
% Current number of equations to process: 3718
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [725] mult(A,rd(unit,rd(op_c,rd(op_c,rd(A,op_c))))) -> op_c
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [726] mult(B,mult(C,mult(B,mult(rd(rd(unit,B),mult(B,C)),A)))) -> A
% Current number of equations to process: 3917
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [727] mult(rd(rd(unit,A),mult(A,B)),mult(A,mult(B,mult(A,C)))) -> C
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [728]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(unit,rd(A,rd(unit,A)))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(unit,rd(A,rd(unit,A)))))))
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [729]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(unit,rd(A,rd(unit,A)))))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(A,rd(unit,rd(A,rd(unit,A)))))))))
% Current number of equations to process: 4481
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [730]
% mult(rd(unit,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> op_c
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [731] rd(unit,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) -> A
% Rule
% [618]
% rd(unit,rd(op_c,rd(unit,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))) ->
% rd(A,op_c) collapsed.
% Current number of equations to process: 4582
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [732]
% mult(rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))
% -> A
% Current number of equations to process: 4625
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [733]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(a,rd(op_d,rd(unit,rd(op_d,
% rd(unit,a))))))))))
% -> rd(op_d,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))))
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [734]
% rd(unit,rd(rd(op_c,rd(unit,op_d)),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(a,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,a))))))))))
% -> op_d
% Current number of equations to process: 4741
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [735]
% mult(rd(unit,mult(A,rd(A,rd(unit,rd(A,rd(unit,A)))))),B) ->
% mult(rd(unit,A),mult(rd(unit,A),mult(rd(unit,A),mult(rd(unit,A),B))))
% Current number of equations to process: 4804
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [736]
% rd(unit,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% -> op_c
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [737]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(A,rd(unit,A))))))
% -> rd(rd(unit,A),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [738]
% mult(A,rd(op_d,rd(A,rd(unit,A)))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,A)))))
% Rule [482] rd(unit,rd(rd(unit,A),mult(A,rd(op_d,rd(A,rd(unit,A)))))) -> op_d
% collapsed.
% Rule [660] mult(A,mult(A,rd(op_d,rd(A,rd(unit,A))))) -> op_d collapsed.
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [739]
% rd(unit,rd(rd(unit,rd(op_c,rd(A,rd(unit,A)))),rd(unit,rd(rd(unit,A),rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 1210
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [740]
% rd(rd(op_d,rd(unit,rd(A,rd(unit,A)))),rd(unit,rd(op_d,rd(A,rd(unit,A))))) ->
% rd(op_d,rd(unit,op_d))
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [741]
% rd(unit,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))) ->
% rd(op_d,rd(unit,op_d))
% Rule
% [733]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(a,rd(op_d,rd(unit,rd(op_d,
% rd(unit,a))))))))))
% -> rd(op_d,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))) collapsed.
% Rule
% [734]
% rd(unit,rd(rd(op_c,rd(unit,op_d)),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(a,rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,a))))))))))
% -> op_d collapsed.
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [742]
% mult(rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))))
% -> op_d
% Current number of equations to process: 1444
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [743]
% rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),mult(A,B))))),
% mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) -> A
% Current number of equations to process: 1501
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [744]
% mult(A,mult(B,mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(B,mult(B,A)))))
% Current number of equations to process: 1622
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [745]
% rd(unit,rd(rd(unit,rd(rd(unit,A),mult(A,B))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),
% mult(A,B)))))))
% -> op_c
% Current number of equations to process: 1689
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [746]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(B,rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% mult(rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))),A))))))
% -> A
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [747]
% mult(rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(B,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% -> B
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [748]
% mult(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))),B)
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 345
% Rule [748]
% mult(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))),B)
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))) is composed into 
% [748]
% mult(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))),B)
% ->
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% mult(A,B))))))
% New rule produced :
% [749]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% ->
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% mult(A,B))))))
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [750]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [751]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(unit,rd(rd(unit,A),mult(A,B))),
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(B,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,A))))))))))))))
% -> A
% Current number of equations to process: 2359
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [752]
% mult(A,mult(B,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(B,mult(B,A)))))))
% Current number of equations to process: 2579
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [753]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,
% rd(A,
% rd(op_d,op_c)))))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [754]
% mult(rd(rd(unit,A),mult(A,B)),mult(A,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))))
% -> op_d
% Current number of equations to process: 2740
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [755]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(unit,rd(op_c,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))))
% Current number of equations to process: 2939
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [756]
% rd(unit,rd(rd(unit,rd(rd(unit,A),mult(A,B))),mult(A,mult(B,rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,A))))))))
% -> op_d
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [757]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% mult(rd(unit,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,B))))),A))))))))))
% -> A
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [758]
% mult(rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(A,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,B))))))))))
% -> B
% Current number of equations to process: 3414
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [759]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(A,rd(op_d,rd(unit,rd(op_d,
% rd(op_d,B))))))))))
% -> mult(A,rd(op_d,rd(unit,rd(op_d,rd(unit,mult(A,B))))))
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [760]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(unit,A))))))))
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [761]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))))))
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [762]
% mult(rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))),A)
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [763]
% mult(B,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(B,mult(rd(rd(unit,B),
% rd(B,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))),A)))))
% -> A
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [764]
% mult(rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),mult(A,rd(unit,
% rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% mult(A,B)))))
% -> B
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [765]
% mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(B,mult(rd(unit,rd(op_d,rd(unit,
% rd(B,
% rd(unit,B))))),A)))))))
% -> A
% Current number of equations to process: 4167
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [766]
% mult(rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))),mult(A,rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% mult(A,B)))))))
% -> B
% Current number of equations to process: 4295
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [767]
% mult(rd(unit,rd(B,A)),mult(rd(unit,rd(B,A)),mult(rd(unit,rd(A,B)),B))) -> A
% Current number of equations to process: 4483
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [768]
% rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(unit,rd(A,rd(unit,A)))))),
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) -> A
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [769]
% rd(unit,rd(rd(A,rd(unit,rd(A,rd(unit,A)))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(A,rd(unit,rd(A,
% rd(unit,A))))))))
% -> op_c
% Current number of equations to process: 4652
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [770]
% rd(unit,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,A)))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,A))))))))
% -> op_c
% Current number of equations to process: 4808
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [771]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(A,rd(op_c,rd(unit,op_d)))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(unit,A))))))))
% Current number of equations to process: 4952
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [772]
% rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))),
% mult(A,rd(op_c,rd(unit,op_d)))) -> op_d
% Current number of equations to process: 1034
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [773]
% rd(unit,rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% -> A
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [774]
% rd(unit,rd(rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% -> op_c
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [775]
% rd(rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(unit,A)))))),rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> A
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [776]
% rd(unit,rd(rd(op_d,rd(unit,rd(A,rd(unit,A)))),rd(op_d,rd(unit,rd(op_d,
% rd(rd(op_d,op_c),
% rd(A,rd(unit,A))))))))
% -> op_c
% Current number of equations to process: 1407
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [777]
% mult(rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(rd(op_d,op_c),
% rd(A,
% rd(unit,A)))))))
% -> op_c
% Current number of equations to process: 1566
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [778]
% mult(A,rd(rd(A,rd(op_c,A)),rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(op_c,A)))))
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [779]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))))))))
% -> op_c
% Current number of equations to process: 1693
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [780]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,rd(op_c,rd(unit,op_d))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [781]
% mult(rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(op_c,rd(unit,op_d))))))
% -> op_d
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [782]
% rd(unit,rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(op_c,rd(unit,op_d)))))))
% -> op_d
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [783]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,rd(unit,rd(A,rd(unit,A)))),rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,
% rd(A,
% rd(unit,A)))))))))))
% -> A
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [784]
% rd(unit,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,op_c)))))),rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,
% rd(unit,
% rd(
% rd(unit,A),
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% -> A
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [785]
% mult(rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),mult(A,rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,
% rd(A,
% rd(op_d,op_c))))))))
% -> op_d
% Current number of equations to process: 2182
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [786]
% rd(unit,rd(rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))),
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,op_c))))))))) ->
% op_d
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [787]
% rd(unit,rd(rd(op_d,rd(unit,rd(op_d,rd(unit,A)))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,
% rd(A,
% rd(unit,A))))))))
% -> A
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [788]
% mult(rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,
% rd(A,
% rd(unit,A)))))))
% -> op_d
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [789]
% rd(unit,rd(rd(op_d,rd(unit,rd(A,rd(unit,A)))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,
% rd(A,rd(unit,A))))))))
% -> op_d
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [790]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(rd(A,op_d),
% rd(op_d,A)))))))))))
% Current number of equations to process: 2799
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [791] rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,A)))))) -> A
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [792]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(op_c,rd(op_d,rd(unit,op_d))))))
% -> rd(op_d,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))))
% Current number of equations to process: 2857
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [793]
% rd(unit,rd(B,mult(rd(A,B),mult(C,A)))) ->
% rd(unit,rd(rd(unit,rd(A,B)),mult(rd(A,B),C)))
% Current number of equations to process: 2921
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [794]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),
% rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(
% rd(unit,A),
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 391
% Rule [762]
% mult(rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))),A)
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))) is composed into 
% [762]
% mult(rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))),A)
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(op_d,op_c))))))))))))
% New rule produced :
% [795]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(op_d,op_c))))))))))))
% Current number of equations to process: 3388
% Current number of ordered equations: 1
% Current number of rules: 392
% New rule produced :
% [796]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(op_d,rd(unit,rd(op_c,
% rd(unit,op_d)))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [797]
% mult(rd(unit,A),mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3610
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [798]
% mult(rd(unit,A),mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,
% rd(unit,A))))))))
% -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3677
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [799]
% mult(rd(op_c,rd(A,rd(unit,A))),rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [800]
% mult(rd(op_d,rd(A,rd(unit,A))),rd(op_d,rd(unit,rd(A,rd(unit,A))))) ->
% rd(op_d,rd(unit,op_d))
% Current number of equations to process: 3866
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [801]
% rd(op_c,rd(op_c,rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))
% Current number of equations to process: 3977
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [802]
% rd(op_d,rd(op_d,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))))) ->
% rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [803]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),
% rd(A,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% -> rd(unit,rd(op_c,rd(unit,rd(op_c,rd(A,op_c)))))
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [804]
% rd(unit,rd(op_c,rd(unit,rd(op_c,rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))))
% -> rd(unit,rd(op_c,rd(A,rd(unit,A))))
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [805]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),
% rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 4202
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [806] mult(rd(unit,mult(A,B)),mult(A,mult(rd(B,A),mult(A,C)))) -> C
% Current number of equations to process: 4295
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [807]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(rd(A,op_d),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,B)))))))))
% <-> mult(A,mult(rd(op_d,A),mult(A,B)))
% Current number of equations to process: 4610
% Current number of ordered equations: 1
% Current number of rules: 404
% New rule produced :
% [808]
% mult(A,mult(rd(op_d,A),mult(A,B))) <->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(rd(A,op_d),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,B)))))))))
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [809] mult(B,mult(rd(C,B),mult(B,mult(rd(unit,mult(B,C)),A)))) -> A
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [810]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),
% rd(op_d,rd(unit,rd(op_d,
% rd(
% rd(op_d,op_c),
% rd(A,
% rd(unit,A))))))))))
% -> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 1358
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [811]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),
% rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(
% rd(unit,A),
% mult(A,B)))))))))
% -> rd(unit,rd(rd(unit,A),mult(A,B)))
% Current number of equations to process: 1530
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [812]
% mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% mult(A,B))))))))
% Rule
% [594]
% mult(rd(unit,rd(op_d,A)),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A)))))) collapsed.
% Current number of equations to process: 1821
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [813]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% mult(A,B)))))))) <->
% mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))
% The conjecture has been reduced. 
% Conjecture is now:
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(rd(op_c,rd(op_d,op_c)),rd(a,rd(unit,op_d))))))) = 
% mult(a,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,rd(unit,op_d)))))
% 
% Current number of equations to process: 1821
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [814]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Rule
% [797]
% mult(rd(unit,A),mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [815]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(unit,A)))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [816]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,op_c))))))
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [817]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A))))
% Rule
% [798]
% mult(rd(unit,A),mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,
% rd(unit,A))))))))
% -> rd(op_d,rd(unit,op_d)) collapsed.
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [818]
% rd(op_d,rd(unit,rd(op_d,rd(unit,mult(rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))),A)))))
% -> A
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [819] mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,A)))))) -> op_d
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [820]
% mult(rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))),rd(op_d,rd(unit,rd(op_c,
% rd(unit,op_d)))))
% -> op_c
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [821]
% mult(rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))
% -> op_d
% Current number of equations to process: 2660
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [822]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,rd(op_c,
% rd(unit,op_d))),
% rd(unit,rd(rd(op_c,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))),A))))))
% -> A
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [823]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_c,rd(op_d,rd(unit,op_d)))))
% -> rd(op_c,rd(op_d,rd(op_c,op_d)))
% Current number of equations to process: 2825
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [824]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% rd(unit,
% rd(op_c,
% rd(A,
% rd(unit,A)))))))))
% -> rd(rd(A,rd(op_c,A)),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 2919
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [825]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% rd(unit,rd(op_d,
% rd(A,
% rd(unit,A)))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A))))))
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced : [826] rd(rd(A,B),rd(rd(A,B),rd(B,A))) -> rd(unit,rd(A,B))
% Current number of equations to process: 3202
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [827] mult(rd(rd(A,B),rd(B,A)),C) -> mult(rd(A,B),mult(rd(A,B),C))
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [828] mult(A,rd(rd(unit,A),rd(op_d,rd(op_c,rd(unit,op_d))))) -> op_c
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [829]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))) ->
% rd(op_d,rd(unit,op_d))
% Rule
% [741]
% rd(unit,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))) ->
% rd(op_d,rd(unit,op_d)) collapsed.
% Current number of equations to process: 3507
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [830] rd(unit,rd(rd(A,B),rd(unit,rd(A,B)))) <-> rd(rd(B,A),rd(unit,rd(B,A)))
% Current number of equations to process: 3632
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [831] rd(rd(B,A),rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),rd(unit,rd(A,B))))
% Current number of equations to process: 3632
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [832]
% mult(rd(unit,A),mult(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(rd(unit,A),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [833]
% rd(unit,rd(A,rd(rd(op_c,A),rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(A,rd(op_c,A)))
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [834]
% rd(rd(op_d,A),rd(unit,rd(op_d,A))) ->
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,A)))))))
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [835]
% mult(rd(A,B),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(B,A),rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [836]
% mult(rd(A,B),rd(op_d,rd(unit,rd(op_d,rd(unit,rd(B,A)))))) ->
% rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4308
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [837]
% mult(rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))),rd(op_c,rd(A,op_c))) ->
% unit
% Current number of equations to process: 4400
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [838]
% mult(rd(op_c,rd(A,op_c)),rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% unit
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [839] mult(rd(A,rd(op_d,rd(unit,op_d))),rd(op_d,rd(A,op_d))) -> unit
% Current number of equations to process: 4448
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [840] mult(rd(op_d,rd(A,op_d)),rd(A,rd(op_d,rd(unit,op_d)))) -> unit
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [841]
% mult(rd(unit,rd(op_c,A)),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,
% rd(
% rd(unit,
% rd(op_c,A)),
% mult(
% rd(op_c,A),
% rd(unit,
% rd(op_c,
% rd(A,
% rd(op_c,A))))))))))
% -> A
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [842]
% mult(rd(op_c,rd(A,rd(op_c,A))),A) ->
% rd(rd(op_c,A),rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4539
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [843]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_c,rd(op_d,rd(op_c,op_d))))))) ->
% rd(op_c,rd(op_d,op_c))
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [844]
% mult(rd(unit,rd(rd(A,op_d),rd(op_d,A))),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,A)))))
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [845]
% rd(rd(A,op_c),rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A))) ->
% op_c
% Current number of equations to process: 4655
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [846] rd(rd(A,op_d),rd(unit,rd(op_d,rd(unit,rd(op_d,A))))) -> op_d
% Current number of equations to process: 4687
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [847]
% mult(rd(unit,A),mult(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% -> op_c
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [848]
% mult(rd(unit,A),mult(rd(unit,A),rd(op_d,rd(unit,rd(A,rd(unit,A)))))) -> op_d
% Current number of equations to process: 4791
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [849]
% mult(rd(op_d,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(rd(A,op_d),rd(op_d,A)))))))
% -> A
% Current number of equations to process: 4897
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [850] mult(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) -> op_c
% Rule
% [832]
% mult(rd(unit,A),mult(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(rd(unit,A),rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [851]
% rd(A,rd(unit,rd(op_c,rd(unit,rd(op_c,A))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [852] rd(A,rd(unit,rd(op_d,rd(unit,rd(op_d,A))))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4999
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [853] rd(rd(op_d,rd(A,op_d)),rd(unit,A)) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [854]
% mult(A,rd(op_c,rd(unit,op_d))) ->
% rd(unit,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,
% rd(op_d,
% rd(unit,A))))))))
% Rule
% [510]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(op_c,rd(unit,op_d))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,A))))))
% collapsed.
% Rule
% [589]
% rd(unit,mult(A,rd(op_c,rd(unit,op_d)))) ->
% rd(op_c,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))))))))
% collapsed.
% Rule
% [771]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,mult(A,rd(op_c,rd(unit,op_d)))))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,
% rd(unit,A))))))))
% collapsed.
% Rule
% [772]
% rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))),
% mult(A,rd(op_c,rd(unit,op_d)))) -> op_d collapsed.
% Rule
% [780]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,rd(op_c,rd(unit,op_d))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))))))
% collapsed.
% Rule
% [781]
% mult(rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(op_c,rd(unit,op_d))))))
% -> op_d collapsed.
% Rule
% [782]
% rd(unit,rd(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d)))))),
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(op_c,rd(unit,op_d)))))))
% -> op_d collapsed.
% Current number of equations to process: 1250
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [855]
% mult(A,mult(rd(rd(op_d,rd(op_c,rd(unit,op_d))),A),mult(A,B))) <->
% mult(rd(A,op_c),B)
% Current number of equations to process: 1307
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [856]
% mult(rd(A,op_c),B) <->
% mult(A,mult(rd(rd(op_d,rd(op_c,rd(unit,op_d))),A),mult(A,B)))
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [857]
% rd(unit,rd(op_c,mult(A,rd(op_d,op_c)))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(A,op_c)))))))
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [858] rd(rd(A,op_c),rd(unit,rd(op_c,rd(unit,A)))) -> rd(A,rd(unit,A))
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [859]
% mult(rd(op_d,op_c),rd(op_d,rd(op_c,op_d))) ->
% rd(op_d,rd(op_c,rd(op_d,rd(op_c,op_d))))
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [860] mult(A,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) -> unit
% Current number of equations to process: 1787
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [861] mult(rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),A) -> unit
% Current number of equations to process: 1812
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [862]
% rd(unit,rd(rd(op_d,op_c),rd(op_c,rd(unit,op_d)))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 1823
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [863]
% mult(rd(unit,A),rd(A,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))) -> A
% Current number of equations to process: 1913
% Current number of ordered equations: 1
% Current number of rules: 448
% New rule produced :
% [864]
% mult(rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),rd(A,rd(unit,A))) -> A
% Current number of equations to process: 1913
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [865]
% mult(rd(A,rd(op_c,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))),B) ->
% mult(A,mult(A,B))
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [866]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),A))) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% Current number of equations to process: 2121
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [867]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))))))))
% -> rd(unit,rd(op_d,A))
% Current number of equations to process: 2190
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [868]
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A)))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A))))
% Rule
% [541]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(unit,
% rd(A,rd(unit,A)))))))))))
% -> rd(unit,A) collapsed.
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [869]
% rd(unit,rd(rd(unit,A),rd(A,op_c))) -> rd(unit,rd(op_c,rd(A,rd(unit,A))))
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [870] rd(rd(unit,A),rd(A,op_c)) -> rd(op_c,rd(A,rd(unit,A)))
% Rule
% [869]
% rd(unit,rd(rd(unit,A),rd(A,op_c))) -> rd(unit,rd(op_c,rd(A,rd(unit,A))))
% collapsed.
% Current number of equations to process: 2422
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [871] mult(rd(op_c,rd(A,rd(unit,A))),rd(A,op_c)) -> rd(unit,A)
% Rule
% [675] mult(rd(op_c,rd(op_d,rd(unit,op_d))),rd(op_d,op_c)) -> rd(unit,op_d)
% collapsed.
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [872] rd(unit,rd(rd(A,op_c),rd(unit,A))) -> rd(op_c,rd(A,rd(unit,A)))
% Current number of equations to process: 2473
% Current number of ordered equations: 1
% Current number of rules: 454
% New rule produced :
% [873] rd(rd(unit,A),rd(unit,rd(op_c,A))) -> rd(op_c,rd(A,rd(unit,A)))
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [874] rd(rd(A,op_c),rd(unit,A)) -> rd(unit,rd(op_c,rd(A,rd(unit,A))))
% Rule [872] rd(unit,rd(rd(A,op_c),rd(unit,A))) -> rd(op_c,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 2472
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [875]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(unit,A),rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% mult(A,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,B)))))))))))))))
% -> rd(unit,rd(rd(unit,A),mult(A,B)))
% Current number of equations to process: 2646
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [876]
% rd(mult(A,B),mult(rd(unit,A),C)) <->
% rd(unit,rd(rd(unit,A),mult(A,rd(unit,rd(C,B)))))
% Current number of equations to process: 2849
% Current number of ordered equations: 1
% Current number of rules: 457
% New rule produced :
% [877]
% rd(unit,rd(rd(unit,A),mult(A,rd(unit,rd(C,B))))) <->
% rd(mult(A,B),mult(rd(unit,A),C))
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [878]
% rd(unit,rd(rd(unit,A),mult(A,rd(unit,rd(mult(A,B),C))))) -> rd(mult(A,C),B)
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [879]
% mult(A,rd(unit,rd(op_d,rd(A,op_d)))) ->
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(A,rd(unit,A))))))
% Current number of equations to process: 3934
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [880]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(op_d,A))))))))))
% -> rd(A,rd(unit,rd(op_d,rd(op_d,A))))
% Current number of equations to process: 3974
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [881] rd(rd(unit,rd(op_d,A)),rd(A,rd(op_d,rd(unit,op_d)))) -> op_d
% Current number of equations to process: 4048
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [882] rd(op_c,rd(A,op_c)) <-> rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A)
% Rule
% [602]
% rd(unit,rd(op_c,rd(A,op_c))) <->
% rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A)) collapsed.
% Current number of equations to process: 4083
% Current number of ordered equations: 1
% Current number of rules: 462
% New rule produced :
% [883] rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A) <-> rd(op_c,rd(A,op_c))
% Rule
% [603]
% rd(unit,rd(rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))),A)) <->
% rd(unit,rd(op_c,rd(A,op_c))) collapsed.
% Current number of equations to process: 4083
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [884]
% rd(unit,rd(op_d,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [885] mult(B,rd(unit,A)) <-> mult(A,rd(unit,rd(A,mult(rd(unit,A),B))))
% Current number of equations to process: 4188
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [886] mult(A,rd(unit,rd(A,mult(rd(unit,A),B)))) <-> mult(B,rd(unit,A))
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [887] mult(rd(A,B),rd(B,rd(A,B))) -> mult(A,rd(unit,rd(A,B)))
% Rule [227] mult(rd(unit,A),rd(A,rd(unit,A))) -> A collapsed.
% Rule [336] mult(rd(op_d,op_c),rd(op_c,rd(op_d,op_c))) -> op_c collapsed.
% Rule [477] mult(rd(op_c,A),rd(A,rd(op_c,A))) -> A collapsed.
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 463
% Rule [885] mult(B,rd(unit,A)) <-> mult(A,rd(unit,rd(A,mult(rd(unit,A),B)))) is composed into 
% [885] mult(B,rd(unit,A)) <-> mult(A,rd(rd(unit,A),mult(A,rd(unit,B))))
% New rule produced :
% [888] rd(unit,rd(A,mult(rd(unit,A),B))) -> rd(rd(unit,A),mult(A,rd(unit,B)))
% Rule
% [538] mult(C,mult(rd(unit,rd(C,mult(rd(unit,C),A))),mult(C,B))) -> mult(A,B)
% collapsed.
% Rule [886] mult(A,rd(unit,rd(A,mult(rd(unit,A),B)))) <-> mult(B,rd(unit,A))
% collapsed.
% Current number of equations to process: 4837
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [889] mult(A,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_d,A)))))) -> op_d
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [890] mult(rd(op_c,rd(op_d,op_c)),rd(op_d,rd(op_c,rd(op_d,op_c)))) -> op_d
% Current number of equations to process: 1971
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [891] mult(rd(op_d,rd(A,rd(unit,op_d))),rd(A,rd(unit,A))) -> A
% Current number of equations to process: 1973
% Current number of ordered equations: 1
% Current number of rules: 465
% New rule produced :
% [892] mult(rd(unit,A),rd(A,rd(op_d,rd(A,rd(unit,op_d))))) -> A
% Current number of equations to process: 1973
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [893] mult(rd(A,rd(op_d,rd(A,rd(unit,op_d)))),B) -> mult(A,mult(A,B))
% Current number of equations to process: 2025
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [894]
% rd(A,rd(unit,rd(op_d,rd(unit,A)))) <-> rd(op_d,rd(unit,rd(A,rd(unit,A))))
% Current number of equations to process: 2162
% Current number of ordered equations: 1
% Current number of rules: 468
% New rule produced :
% [895]
% rd(op_d,rd(unit,rd(A,rd(unit,A)))) <-> rd(A,rd(unit,rd(op_d,rd(unit,A))))
% Current number of equations to process: 2162
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [896]
% rd(unit,rd(op_d,rd(op_d,rd(unit,rd(A,rd(unit,A)))))) -> rd(A,rd(unit,A))
% Rule
% [658]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(A,rd(unit,A))))))) ->
% rd(op_d,rd(A,rd(unit,A))) collapsed.
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [897] rd(rd(unit,op_d),A) -> rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))
% Rule [567] rd(rd(unit,op_d),rd(A,op_d)) -> rd(unit,A) collapsed.
% Rule [648] rd(rd(unit,op_d),rd(op_d,rd(op_c,rd(unit,op_d)))) -> rd(op_c,op_d)
% collapsed.
% Rule
% [674] rd(unit,rd(rd(unit,op_d),A)) -> rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))
% collapsed.
% Rule [688] rd(rd(unit,op_d),rd(A,rd(op_d,rd(unit,op_d)))) -> rd(op_d,A)
% collapsed.
% Rule
% [691] rd(rd(unit,op_d),rd(unit,A)) -> rd(op_d,rd(op_d,rd(unit,rd(op_d,A))))
% collapsed.
% Rule [703] mult(rd(rd(unit,op_d),A),mult(A,rd(op_d,A))) -> rd(unit,A)
% collapsed.
% Rule
% [718]
% mult(A,rd(rd(unit,op_d),A)) ->
% mult(A,rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))))) collapsed.
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [898]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A)))))
% Rule
% [667]
% rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,B)))))) ->
% rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,B)))))) collapsed.
% Rule
% [821]
% mult(rd(unit,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,A)))))
% -> op_d collapsed.
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [899] rd(rd(A,op_d),rd(unit,rd(op_d,rd(unit,A)))) -> rd(A,rd(unit,A))
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [900] mult(rd(op_d,rd(op_d,rd(unit,rd(op_d,A)))),rd(op_d,rd(A,op_d))) -> op_d
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [901] mult(rd(A,rd(unit,op_d)),rd(unit,rd(op_d,rd(op_d,A)))) -> op_d
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [902]
% rd(op_d,mult(rd(A,op_d),mult(B,A))) -> rd(rd(op_d,A),mult(rd(A,op_d),B))
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [903]
% rd(rd(unit,A),rd(A,rd(unit,A))) -> rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [904] rd(rd(A,op_c),rd(unit,rd(op_c,rd(unit,rd(op_c,A))))) -> op_c
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [905]
% rd(op_d,rd(unit,rd(op_c,rd(unit,op_d)))) ->
% rd(op_c,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))))
% Rule
% [499]
% rd(unit,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(unit,op_d)) collapsed.
% Rule
% [509]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_c,rd(unit,op_d))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))))
% collapsed.
% Rule
% [514]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_c,rd(unit,op_d))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(unit,rd(op_c,rd(unit,op_d)))))) collapsed.
% Rule
% [522]
% mult(rd(op_d,rd(unit,rd(op_c,rd(unit,op_d)))),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,
% rd(op_d,op_c))))))))))
% collapsed.
% Rule
% [796]
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(op_d,rd(unit,rd(op_c,
% rd(unit,op_d)))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))))
% collapsed.
% Rule
% [820]
% mult(rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a))))),rd(op_d,rd(unit,rd(op_c,
% rd(unit,op_d)))))
% -> op_c collapsed.
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 463
% Rule [825]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% rd(unit,
% rd(op_d,
% rd(A,rd(unit,A)))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A)))))) is composed into 
% [825]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% rd(unit,rd(op_d,
% rd(A,
% rd(unit,A)))))))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(op_d,A))))))))))
% New rule produced :
% [906]
% rd(unit,rd(rd(A,op_d),rd(op_d,A))) ->
% rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,A)))))))
% Rule
% [530]
% mult(rd(op_d,A),rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A)))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,A)))) collapsed.
% Rule
% [543]
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,
% rd(rd(A,op_d),
% rd(op_d,A)))))))))))))))
% -> rd(op_d,A) collapsed.
% Rule
% [790]
% mult(A,rd(op_d,rd(unit,rd(op_d,rd(unit,rd(rd(A,op_d),rd(op_d,A))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(rd(A,op_d),
% rd(op_d,A)))))))))))
% collapsed.
% Rule
% [844]
% mult(rd(unit,rd(rd(A,op_d),rd(op_d,A))),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(op_d,A))))) collapsed.
% Current number of equations to process: 3117
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [907] rd(rd(op_c,rd(op_d,op_c)),rd(op_c,rd(op_d,rd(op_c,op_d)))) -> op_d
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [908] rd(rd(op_d,rd(op_c,op_d)),rd(op_d,rd(op_c,rd(op_d,op_c)))) -> op_c
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [909] rd(rd(unit,A),mult(A,rd(unit,rd(A,B)))) -> rd(unit,mult(A,B))
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [910] rd(mult(rd(unit,A),C),mult(A,B)) <-> rd(rd(unit,A),mult(A,rd(B,C)))
% Current number of equations to process: 3387
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [911] rd(rd(unit,A),mult(A,rd(B,C))) <-> rd(mult(rd(unit,A),C),mult(A,B))
% Current number of equations to process: 3387
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [912] rd(unit,rd(A,rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) -> op_c
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [913] mult(rd(unit,rd(mult(A,B),C)),A) -> mult(rd(unit,A),rd(mult(A,C),B))
% Current number of equations to process: 4083
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [914] rd(rd(op_c,A),rd(op_c,rd(A,rd(op_c,A)))) -> rd(unit,rd(op_c,A))
% Rule [698] rd(rd(op_c,op_d),rd(op_c,rd(op_d,rd(op_c,op_d)))) -> rd(op_d,op_c)
% collapsed.
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [915]
% mult(rd(op_c,rd(A,rd(op_c,A))),B) -> mult(rd(op_c,A),mult(rd(op_c,A),B))
% Rule [702] mult(rd(op_c,rd(A,rd(op_c,A))),rd(A,op_c)) -> rd(op_c,A)
% collapsed.
% Rule
% [842]
% mult(rd(op_c,rd(A,rd(op_c,A))),A) ->
% rd(rd(op_c,A),rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Current number of equations to process: 4371
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [916] rd(unit,rd(A,rd(A,rd(op_d,rd(A,rd(unit,op_d)))))) -> A
% Current number of equations to process: 4514
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [917] mult(rd(A,rd(A,rd(op_d,rd(A,rd(unit,op_d))))),A) -> unit
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [918] mult(A,rd(A,rd(A,rd(op_d,rd(A,rd(unit,op_d)))))) -> unit
% Current number of equations to process: 4657
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [919]
% mult(A,mult(rd(op_d,A),mult(A,rd(op_d,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))))))
% -> unit
% Current number of equations to process: 4677
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [920]
% mult(rd(unit,rd(op_c,A)),rd(A,op_c)) -> rd(unit,rd(op_c,rd(A,rd(op_c,A))))
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [921] mult(rd(A,B),rd(rd(B,A),rd(A,B))) -> rd(unit,rd(A,B))
% Current number of equations to process: 4870
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [922] mult(rd(A,B),rd(unit,rd(B,A))) -> rd(rd(A,B),rd(B,A))
% Current number of equations to process: 4960
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [923] mult(rd(A,op_c),rd(op_c,rd(A,rd(op_c,A)))) -> rd(op_c,A)
% Rule
% [705] mult(rd(op_d,op_c),rd(op_c,rd(op_d,rd(op_c,op_d)))) -> rd(op_c,op_d)
% collapsed.
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced : [924] rd(rd(unit,rd(A,B)),rd(B,A)) -> unit
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced : [925] rd(rd(A,op_c),rd(unit,rd(op_c,A))) -> unit
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced : [926] rd(rd(A,B),rd(unit,rd(B,A))) -> unit
% Rule [925] rd(rd(A,op_c),rd(unit,rd(op_c,A))) -> unit collapsed.
% Current number of equations to process: 2150
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [927] rd(rd(unit,B),mult(B,rd(C,mult(B,A)))) -> rd(A,mult(B,C))
% Rule [715] rd(rd(unit,B),mult(B,rd(unit,mult(B,A)))) -> rd(A,B) collapsed.
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [928] rd(A,rd(unit,rd(op_d,mult(B,rd(A,op_d))))) -> rd(op_d,rd(B,op_d))
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [929]
% rd(rd(A,rd(unit,op_d)),rd(unit,A)) -> rd(A,rd(unit,rd(op_d,rd(unit,A))))
% Current number of equations to process: 2566
% Current number of ordered equations: 0
% Current number of rules: 477
% Rule [824]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,
% rd(rd(unit,A),
% rd(unit,
% rd(op_c,
% rd(A,
% rd(unit,A)))))))))
% -> rd(rd(A,rd(op_c,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) is composed into 
% [824]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% rd(unit,
% rd(op_c,
% rd(A,
% rd(unit,A)))))))))
% -> rd(op_c,rd(unit,rd(op_c,rd(op_c,rd(A,rd(op_c,A))))))
% Rule [737]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(A,rd(unit,A))))))
% -> rd(rd(unit,A),rd(op_d,rd(op_c,rd(unit,op_d)))) is composed into 
% [737]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(A,rd(unit,A))))))
% -> rd(op_c,rd(unit,rd(op_c,rd(op_c,rd(unit,A)))))
% New rule produced :
% [930]
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))) <->
% rd(op_c,rd(unit,rd(op_c,rd(op_c,A))))
% Rule
% [424]
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(unit,A),rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [427]
% rd(rd(op_c,op_d),rd(op_d,rd(op_c,rd(unit,op_d)))) -> rd(op_c,rd(op_d,op_c))
% collapsed.
% Rule
% [442]
% rd(rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))),rd(rd(unit,A),rd(op_d,rd(op_c,
% rd(unit,op_d)))))
% -> rd(A,rd(unit,A)) collapsed.
% Rule
% [450]
% rd(rd(op_d,rd(op_c,rd(op_d,op_c))),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(op_d,rd(op_c,op_d)) collapsed.
% Rule [464] mult(rd(A,B),rd(rd(B,A),rd(op_d,rd(op_c,rd(unit,op_d))))) -> op_c
% collapsed.
% Rule
% [465]
% rd(rd(op_d,rd(op_c,op_d)),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(op_d,rd(unit,op_d)) collapsed.
% Rule [467] rd(rd(A,op_c),rd(op_d,rd(op_c,rd(unit,op_d)))) -> A collapsed.
% Rule
% [493]
% rd(rd(A,rd(unit,A)),rd(op_d,rd(op_c,rd(unit,op_d)))) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))))) collapsed.
% Rule
% [528]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(rd(A,rd(op_c,rd(unit,op_d))),
% rd(op_d,rd(op_c,rd(unit,op_d))))))))))
% -> rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [778]
% mult(A,rd(rd(A,rd(op_c,A)),rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,rd(A,rd(op_c,A)))))
% collapsed.
% Rule [828] mult(A,rd(rd(unit,A),rd(op_d,rd(op_c,rd(unit,op_d))))) -> op_c
% collapsed.
% Rule
% [833]
% rd(unit,rd(A,rd(rd(op_c,A),rd(op_d,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(A,rd(op_c,A))) collapsed.
% Rule
% [835]
% mult(rd(A,B),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(rd(B,A),rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [884]
% rd(unit,rd(op_d,rd(rd(op_c,rd(unit,op_d)),rd(op_d,rd(op_c,rd(unit,op_d))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(rd(op_c,rd(op_d,op_c)),rd(a,rd(unit,op_d))))))) = 
% mult(a,rd(op_c,rd(unit,rd(op_c,rd(unit,op_d)))))
% 
% Current number of equations to process: 2641
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced : [931] rd(op_c,rd(unit,rd(op_c,rd(op_c,rd(A,op_c))))) -> A
% Current number of equations to process: 2640
% Current number of ordered equations: 1
% Current number of rules: 465
% New rule produced :
% [932] mult(A,rd(op_c,rd(unit,rd(op_c,rd(op_c,rd(unit,A)))))) -> op_c
% Current number of equations to process: 2639
% Current number of ordered equations: 1
% Current number of rules: 466
% New rule produced :
% [933]
% rd(op_c,rd(unit,rd(op_c,rd(op_c,A)))) <->
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [934] mult(A,rd(op_c,rd(A,op_c))) -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [935] mult(rd(unit,A),rd(A,mult(rd(unit,A),B))) <-> mult(rd(unit,B),A)
% Current number of equations to process: 2995
% Current number of ordered equations: 1
% Current number of rules: 469
% New rule produced :
% [936] mult(rd(unit,B),A) <-> mult(rd(unit,A),rd(A,mult(rd(unit,A),B)))
% Rule [209] mult(rd(unit,rd(A,B)),A) -> B collapsed.
% Rule [476] mult(rd(unit,rd(op_c,A)),A) -> rd(A,rd(op_c,A)) collapsed.
% Rule [500] rd(A,mult(rd(unit,rd(A,B)),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% collapsed.
% Rule
% [626]
% mult(rd(unit,rd(op_d,A)),A) ->
% rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(rd(A,op_d),rd(op_d,A)))))) collapsed.
% Rule
% [767]
% mult(rd(unit,rd(B,A)),mult(rd(unit,rd(B,A)),mult(rd(unit,rd(A,B)),B))) -> A
% collapsed.
% Rule
% [913] mult(rd(unit,rd(mult(A,B),C)),A) -> mult(rd(unit,A),rd(mult(A,C),B))
% collapsed.
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [937] mult(B,rd(rd(unit,B),mult(B,rd(rd(unit,B),A)))) -> A
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [938] mult(A,mult(rd(unit,B),rd(B,mult(rd(unit,B),A)))) -> B
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [939] mult(A,rd(unit,rd(op_c,rd(op_c,rd(unit,rd(op_c,A)))))) -> op_c
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [940]
% mult(rd(unit,rd(A,B)),mult(rd(unit,A),rd(unit,rd(rd(unit,A),mult(A,rd(A,B))))))
% -> A
% Current number of equations to process: 3716
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [941]
% mult(rd(op_d,rd(op_c,rd(op_d,op_c))),A) ->
% mult(rd(op_d,op_c),mult(rd(op_d,op_c),A))
% Rule
% [671] mult(rd(op_d,rd(op_c,rd(op_d,op_c))),rd(op_c,op_d)) -> rd(op_d,op_c)
% collapsed.
% Current number of equations to process: 3920
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [942] rd(unit,rd(rd(A,B),rd(B,A))) <-> rd(rd(B,A),rd(unit,rd(B,A)))
% Current number of equations to process: 3967
% Current number of ordered equations: 1
% Current number of rules: 469
% New rule produced :
% [943] rd(rd(B,A),rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),rd(B,A)))
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [944]
% rd(unit,rd(op_d,rd(op_c,rd(unit,rd(op_c,rd(unit,op_d)))))) ->
% rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))
% Current number of equations to process: 4311
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [945] rd(rd(A,rd(unit,op_d)),rd(unit,rd(op_d,A))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [946] rd(rd(op_d,A),rd(unit,rd(A,rd(unit,op_d)))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4442
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [947] rd(unit,rd(rd(unit,A),rd(op_d,rd(A,op_d)))) -> rd(op_d,rd(unit,op_d))
% Current number of equations to process: 4466
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [948] rd(op_c,rd(op_c,rd(unit,rd(op_c,rd(op_c,rd(unit,A)))))) -> A
% Current number of equations to process: 4578
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [949] rd(op_c,rd(op_c,rd(unit,rd(op_c,rd(op_c,A))))) -> rd(unit,A)
% Rule [948] rd(op_c,rd(op_c,rd(unit,rd(op_c,rd(op_c,rd(unit,A)))))) -> A
% collapsed.
% Current number of equations to process: 4617
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [950]
% rd(A,rd(unit,rd(op_c,rd(unit,A)))) <-> rd(op_c,rd(unit,rd(A,rd(unit,A))))
% Rule
% [905]
% rd(op_d,rd(unit,rd(op_c,rd(unit,op_d)))) ->
% rd(op_c,rd(a,rd(op_d,rd(unit,rd(op_d,rd(unit,a)))))) collapsed.
% Current number of equations to process: 4656
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [951]
% rd(op_c,rd(unit,rd(A,rd(unit,A)))) <-> rd(A,rd(unit,rd(op_c,rd(unit,A))))
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [952]
% mult(A,rd(rd(unit,A),mult(A,rd(unit,rd(mult(A,B),C))))) ->
% mult(A,rd(unit,rd(mult(A,C),B)))
% Current number of equations to process: 4879
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [953] rd(rd(unit,rd(op_d,A)),rd(unit,rd(op_d,rd(A,op_d)))) -> op_d
% Current number of equations to process: 1756
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [954] mult(rd(A,op_c),rd(op_c,rd(unit,rd(op_c,A)))) -> mult(A,rd(op_c,A))
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [955] mult(rd(A,op_d),rd(op_d,rd(unit,rd(op_d,A)))) -> mult(A,rd(op_d,A))
% Current number of equations to process: 1792
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [956] mult(rd(A,B),mult(B,rd(unit,rd(B,A)))) -> rd(A,rd(B,A))
% Current number of equations to process: 1829
% Current number of ordered equations: 0
% Current number of rules: 481
% Rule [911]
% rd(rd(unit,A),mult(A,rd(B,C))) <-> rd(mult(rd(unit,A),C),mult(A,B)) is composed into 
% [911]
% rd(rd(unit,A),mult(A,rd(B,C))) <->
% rd(rd(rd(unit,A),mult(A,rd(rd(unit,A),C))),mult(A,B))
% Rule [877]
% rd(unit,rd(rd(unit,A),mult(A,rd(unit,rd(C,B))))) <->
% rd(mult(A,B),mult(rd(unit,A),C)) is composed into [877]
% rd(unit,rd(rd(unit,A),
% mult(A,
% rd(unit,
% rd(C,B)))))
% <->
% rd(mult(A,B),rd(
% rd(unit,A),
% mult(A,
% rd(
% rd(unit,A),C))))
% Rule [812]
% mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% mult(A,B)))))))) is composed into 
% [812]
% mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) <->
% rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,
% rd(
% rd(unit,A),
% mult(A,B))))))))))
% Rule [720] mult(B,rd(rd(unit,B),mult(B,A))) <-> mult(rd(unit,A),rd(unit,B)) is composed into 
% [720]
% mult(B,rd(rd(unit,B),mult(B,A))) <->
% rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(unit,B))))
% Rule [666] mult(rd(B,mult(A,C)),A) -> mult(rd(unit,A),rd(mult(A,B),C)) is composed into 
% [666]
% mult(rd(B,mult(A,C)),A) ->
% rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(mult(A,B),C))))
% Rule [663]
% rd(unit,rd(rd(unit,A),mult(A,rd(B,C)))) <->
% rd(mult(A,B),mult(rd(unit,A),C)) is composed into [663]
% rd(unit,rd(rd(unit,A),
% mult(A,
% rd(B,C)))) <->
% rd(mult(A,B),rd(
% rd(unit,A),
% mult(A,
% rd(
% rd(unit,A),C))))
% Rule [649]
% mult(rd(B,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B)))))) is composed into 
% [649]
% mult(rd(B,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) ->
% rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B))))))))
% Rule [628]
% mult(rd(B,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B)))) is composed into 
% [628]
% mult(rd(B,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) ->
% rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% mult(A,B))))))
% Rule [356]
% mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,
% rd(rd(unit,A),
% mult(A,B)))))) is composed into 
% [356]
% mult(B,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) <->
% rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),
% rd(unit,rd(rd(unit,A),mult(A,B))))))))
% Rule [344]
% mult(B,mult(A,op_d)) <->
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% mult(A,B)))))))) is composed into 
% [344]
% mult(B,mult(A,op_d)) <->
% rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,
% rd(
% rd(unit,A),
% mult(A,B))))))))))
% Rule [202] ld(A,B) -> mult(rd(unit,A),B) is composed into [202]
% ld(A,B) ->
% rd(rd(unit,A),
% mult(A,rd(rd(unit,A),B)))
% New rule produced :
% [957] mult(rd(unit,A),B) -> rd(rd(unit,A),mult(A,rd(rd(unit,A),B)))
% Rule [197] mult(rd(unit,B),mult(B,A)) -> A collapsed.
% Rule [203] mult(A,mult(rd(unit,A),B)) -> B collapsed.
% Rule [205] mult(rd(unit,op_d),A) -> rd(A,op_d) collapsed.
% Rule [207] mult(rd(unit,A),mult(op_c,A)) -> op_c collapsed.
% Rule
% [230]
% mult(rd(unit,A),mult(op_c,rd(A,rd(unit,A)))) ->
% rd(A,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule [302] mult(rd(unit,A),rd(A,op_c)) -> rd(op_d,rd(op_c,rd(unit,op_d)))
% collapsed.
% Rule
% [364]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,mult(A,op_d)))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))
% collapsed.
% Rule
% [380]
% rd(mult(A,mult(B,C)),mult(rd(unit,A),C)) -> rd(unit,rd(rd(unit,A),mult(A,B)))
% collapsed.
% Rule
% [402]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d)))) collapsed.
% Rule
% [404]
% mult(rd(unit,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))),mult(A,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d))))))
% -> op_c collapsed.
% Rule
% [468] mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),A))) -> op_c
% collapsed.
% Rule
% [502]
% mult(rd(unit,rd(A,rd(unit,A))),B) -> mult(rd(unit,A),mult(rd(unit,A),B))
% collapsed.
% Rule
% [503]
% mult(rd(unit,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))),A) ->
% rd(A,rd(op_c,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule [558] mult(rd(unit,A),rd(A,rd(unit,op_d))) -> op_d collapsed.
% Rule [566] mult(rd(unit,A),rd(A,op_d)) -> rd(unit,op_d) collapsed.
% Rule
% [629]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),mult(A,B)))) <->
% mult(rd(B,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) collapsed.
% Rule
% [650]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(A,B)))))) <->
% mult(rd(B,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) collapsed.
% Rule
% [662]
% rd(mult(A,B),mult(rd(unit,A),C)) <-> rd(unit,rd(rd(unit,A),mult(A,rd(B,C))))
% collapsed.
% Rule
% [664]
% rd(A,mult(rd(unit,A),rd(B,C))) -> rd(unit,rd(rd(unit,A),mult(A,rd(C,B))))
% collapsed.
% Rule [700] mult(rd(unit,mult(A,B)),mult(A,rd(B,A))) -> rd(unit,A) collapsed.
% Rule [712] mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) -> op_d
% collapsed.
% Rule [721] mult(rd(unit,A),rd(unit,B)) <-> mult(B,rd(rd(unit,B),mult(B,A)))
% collapsed.
% Rule [722] mult(rd(unit,rd(A,B)),rd(unit,rd(B,A))) -> unit collapsed.
% Rule
% [730]
% mult(rd(unit,rd(op_c,rd(unit,op_d))),rd(op_d,rd(unit,rd(op_c,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))
% -> op_c collapsed.
% Rule
% [735]
% mult(rd(unit,mult(A,rd(A,rd(unit,rd(A,rd(unit,A)))))),B) ->
% mult(rd(unit,A),mult(rd(unit,A),mult(rd(unit,A),mult(rd(unit,A),B))))
% collapsed.
% Rule
% [748]
% mult(rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))),B)
% ->
% mult(A,rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(rd(op_d,
% rd(op_c,
% rd(unit,op_d))),
% mult(A,B))))))
% collapsed.
% Rule
% [757]
% rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% mult(rd(unit,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(unit,B))))),A))))))))))
% -> A collapsed.
% Rule
% [758]
% mult(rd(unit,rd(op_d,rd(unit,rd(op_d,rd(unit,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(op_d,
% mult(A,
% rd(op_d,
% rd(unit,
% rd(op_d,
% rd(op_d,B))))))))))
% -> B collapsed.
% Rule
% [765]
% mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,mult(B,mult(rd(unit,rd(op_d,rd(unit,
% rd(B,
% rd(unit,B))))),A)))))))
% -> A collapsed.
% Rule
% [766]
% mult(rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))),mult(A,rd(op_d,rd(unit,
% rd(op_d,
% rd(op_d,
% mult(A,B)))))))
% -> B collapsed.
% Rule
% [777]
% mult(rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(rd(op_d,op_c),
% rd(A,
% rd(unit,A)))))))
% -> op_c collapsed.
% Rule
% [788]
% mult(rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))),rd(op_d,rd(unit,rd(op_d,
% rd(unit,
% rd(A,
% rd(unit,A)))))))
% -> op_d collapsed.
% Rule [806] mult(rd(unit,mult(A,B)),mult(A,mult(rd(B,A),mult(A,C)))) -> C
% collapsed.
% Rule [809] mult(B,mult(rd(C,B),mult(B,mult(rd(unit,mult(B,C)),A)))) -> A
% collapsed.
% Rule
% [813]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% mult(A,B)))))))) <->
% mult(B,rd(op_d,rd(unit,rd(op_d,rd(op_d,A))))) collapsed.
% Rule
% [814]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% rd(A,
% rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))
% ->
% rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))
% collapsed.
% Rule
% [815]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(rd(op_d,op_c),rd(A,rd(unit,A)))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))))))
% collapsed.
% Rule
% [816]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% rd(A,rd(op_d,
% rd(op_c,
% rd(unit,op_d)))))))))))
% -> rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,op_c)))))) collapsed.
% Rule
% [817]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(unit,A))))))) ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,A)))) collapsed.
% Rule
% [824]
% mult(rd(unit,A),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,rd(
% rd(unit,A),
% rd(unit,
% rd(op_c,
% rd(A,
% rd(unit,A)))))))))
% -> rd(op_c,rd(unit,rd(op_c,rd(op_c,rd(A,rd(op_c,A)))))) collapsed.
% Rule
% [825]
% mult(rd(unit,A),rd(op_d,rd(unit,rd(op_d,rd(op_d,rd(unit,rd(rd(unit,A),
% rd(unit,rd(op_d,
% rd(A,
% rd(unit,A)))))))))))
% ->
% rd(op_d,rd(unit,rd(op_d,rd(unit,rd(A,rd(op_d,rd(unit,rd(op_d,rd(op_d,
% rd(op_d,A))))))))))
% collapsed.
% Rule
% [841]
% mult(rd(unit,rd(op_c,A)),rd(unit,rd(rd(op_d,rd(op_c,rd(unit,op_d))),rd(unit,
% rd(
% rd(unit,
% rd(op_c,A)),
% mult(
% rd(op_c,A),
% rd(unit,
% rd(op_c,
% rd(A,
% rd(op_c,A))))))))))
% -> A collapsed.
% Rule
% [847]
% mult(rd(unit,A),mult(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(op_d,rd(op_c,
% rd(unit,op_d))))))))
% -> op_c collapsed.
% Rule
% [848]
% mult(rd(unit,A),mult(rd(unit,A),rd(op_d,rd(unit,rd(A,rd(unit,A)))))) -> op_d
% collapsed.
% Rule [850] mult(rd(unit,A),rd(A,rd(op_d,rd(op_c,rd(unit,op_d))))) -> op_c
% collapsed.
% Rule
% [863]
% mult(rd(unit,A),rd(A,rd(op_c,Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------