%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP687-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n089.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 00:23:58 EDT 2014

% Result   : Timeout 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP687-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n089.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 00:58:33 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_62811_n089.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,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(mult(A,A),mult(B,C)) = mult(mult(A,mult(A,B)),C);
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% ld > mult > rd > unit > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% ld > mult > rd > unit = a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(a,mult(b,mult(b,c))) = mult(mult(a,mult(b,b)),c);"
% ;
% (*
% 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(mult(A,A),mult(B,C)) =
% mult(mult(A,mult(A,B)),C) } (7 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(a,mult(b,mult(b,c))) =
% mult(mult(a,mult(b,b)),c) } (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: 6
% 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: 5
% Current number of rules: 2
% New rule produced : [3] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 3
% New rule produced : [4] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced : [5] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced : [6] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7] mult(mult(A,mult(A,B)),C) -> mult(mult(A,A),mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] ld(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] ld(A,A) -> unit
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] rd(A,ld(B,A)) -> B
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 13
% Rule [7] mult(mult(A,mult(A,B)),C) -> mult(mult(A,A),mult(B,C)) is composed into 
% [7] mult(mult(A,mult(A,B)),C) -> mult(A,mult(A,mult(B,C)))
% New rule produced : [14] mult(mult(A,A),B) -> mult(A,mult(A,B))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] rd(mult(A,mult(A,B)),B) -> mult(A,A)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] rd(mult(A,B),ld(A,B)) -> mult(A,A)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] rd(A,ld(A,unit)) -> mult(A,A)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] rd(A,ld(B,ld(B,A))) -> mult(B,B)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] ld(mult(A,A),A) -> ld(A,unit)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] ld(mult(A,A),mult(A,B)) -> ld(A,B)
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] ld(mult(A,A),B) -> ld(A,ld(A,B))
% Rule [19] ld(mult(A,A),A) -> ld(A,unit) collapsed.
% Rule [20] ld(mult(A,A),mult(A,B)) -> ld(A,B) collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [22] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [23] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B)
% Rule [22] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A) collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [24] rd(A,ld(rd(A,B),B)) -> rd(mult(rd(A,B),A),B)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [25] rd(rd(rd(unit,A),A),rd(unit,A)) -> rd(unit,A)
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [26] ld(rd(unit,A),rd(rd(unit,A),A)) -> rd(unit,A)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [27] rd(mult(A,mult(A,mult(B,C))),C) -> mult(A,mult(A,B))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [28] mult(A,mult(A,rd(B,C))) -> rd(mult(A,mult(A,B)),C)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [29] mult(A,mult(A,mult(ld(A,B),C))) -> mult(mult(A,B),C)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [30] ld(A,mult(mult(A,B),C)) -> mult(A,mult(ld(A,B),C))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [31] mult(B,mult(ld(B,unit),A)) -> A
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [32] ld(ld(A,unit),B) -> mult(A,B)
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 29
% Rule [21] ld(mult(A,A),B) -> ld(A,ld(A,B)) is composed into [21]
% ld(mult(A,A),B)
% ->
% mult(ld(A,unit),
% ld(A,B))
% New rule produced : [33] ld(A,B) <-> mult(ld(A,unit),B)
% Rule [6] ld(A,mult(A,B)) -> B collapsed.
% Rule [18] rd(A,ld(B,ld(B,A))) -> mult(B,B) collapsed.
% Rule [26] ld(rd(unit,A),rd(rd(unit,A),A)) -> rd(unit,A) collapsed.
% Rule [30] ld(A,mult(mult(A,B),C)) -> mult(A,mult(ld(A,B),C)) collapsed.
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [34] mult(ld(A,unit),mult(A,B)) -> B
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [35] rd(A,mult(ld(B,unit),A)) -> B
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [36] mult(rd(unit,A),mult(A,B)) -> B
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [37] rd(A,mult(B,A)) <-> ld(B,unit)
% Current number of equations to process: 97
% Current number of ordered equations: 1
% Current number of rules: 30
% Rule [37] rd(A,mult(B,A)) <-> ld(B,unit) is composed into [37]
% rd(A,mult(B,A)) <->
% rd(c,mult(B,c))
% Rule [33] ld(A,B) <-> mult(ld(A,unit),B) is composed into [33]
% ld(A,B) ->
% mult(rd(A,mult(A,A)),B)
% Rule [21] ld(mult(A,A),B) -> mult(ld(A,unit),ld(A,B)) is composed into 
% [21] ld(mult(A,A),B) -> mult(rd(A,mult(A,A)),ld(A,B))
% New rule produced : [38] ld(B,unit) <-> rd(A,mult(B,A))
% Rule [17] rd(A,ld(A,unit)) -> mult(A,A) collapsed.
% Rule [31] mult(B,mult(ld(B,unit),A)) -> A collapsed.
% Rule [32] ld(ld(A,unit),B) -> mult(A,B) collapsed.
% Rule [34] mult(ld(A,unit),mult(A,B)) -> B collapsed.
% Rule [35] rd(A,mult(ld(B,unit),A)) -> B collapsed.
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [39] mult(rd(A,mult(A,A)),mult(A,B)) -> B
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 27
% Rule [33] ld(A,B) -> mult(rd(A,mult(A,A)),B) is composed into [33]
% ld(A,B) ->
% mult(rd(unit,A),B)
% Rule [21] ld(mult(A,A),B) -> mult(rd(A,mult(A,A)),ld(A,B)) is composed into 
% [21] ld(mult(A,A),B) -> mult(rd(unit,A),ld(A,B))
% New rule produced : [40] mult(rd(A,mult(A,A)),B) -> mult(rd(unit,A),B)
% Rule [39] mult(rd(A,mult(A,A)),mult(A,B)) -> B collapsed.
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [41] rd(A,rd(A,mult(A,A))) -> mult(A,A)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [42] mult(rd(rd(A,mult(A,A)),rd(unit,mult(A,A))),B) -> mult(A,B)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [43] mult(A,mult(rd(unit,A),B)) -> B
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [44] rd(A,mult(rd(unit,B),A)) -> B
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [45] mult(rd(unit,rd(B,A)),B) -> A
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 32
% Rule [38] ld(B,unit) <-> rd(A,mult(B,A)) is composed into [38]
% ld(B,unit) ->
% rd(unit,B)
% New rule produced : [46] rd(A,mult(B,A)) -> rd(unit,B)
% Rule [37] rd(A,mult(B,A)) <-> rd(c,mult(B,c)) collapsed.
% Rule [40] mult(rd(A,mult(A,A)),B) -> mult(rd(unit,A),B) collapsed.
% Rule [41] rd(A,rd(A,mult(A,A))) -> mult(A,A) collapsed.
% Rule [42] mult(rd(rd(A,mult(A,A)),rd(unit,mult(A,A))),B) -> mult(A,B)
% collapsed.
% Rule [44] rd(A,mult(rd(unit,B),A)) -> B collapsed.
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [47] rd(unit,rd(unit,B)) -> B
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 29
% Rule [16] rd(mult(A,B),ld(A,B)) -> mult(A,A) is composed into [16]
% rd(mult(A,B),
% ld(A,B)) ->
% rd(A,rd(unit,A))
% Rule [15] rd(mult(A,mult(A,B)),B) -> mult(A,A) is composed into [15]
% rd(mult(A,
% mult(A,B)),B)
% ->
% rd(A,
% rd(unit,A))
% New rule produced : [48] mult(A,A) -> rd(A,rd(unit,A))
% Rule [14] mult(mult(A,A),B) -> mult(A,mult(A,B)) collapsed.
% Rule [21] ld(mult(A,A),B) -> mult(rd(unit,A),ld(A,B)) collapsed.
% Rule [23] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(a,mult(b,mult(b,c))) = mult(mult(a,rd(b,rd(unit,b))),c)
% 
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [49] mult(rd(A,rd(unit,A)),B) -> mult(A,mult(A,B))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [50] mult(A,rd(unit,A)) -> unit
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 29
% Rule [24] rd(A,ld(rd(A,B),B)) -> rd(mult(rd(A,B),A),B) is composed into 
% [24] rd(A,ld(rd(A,B),B)) -> rd(unit,rd(B,mult(rd(A,B),A)))
% New rule produced : [51] rd(A,B) <-> rd(unit,rd(B,A))
% Rule [3] rd(mult(A,B),B) -> A collapsed.
% Rule [15] rd(mult(A,mult(A,B)),B) -> rd(A,rd(unit,A)) collapsed.
% Rule [25] rd(rd(rd(unit,A),A),rd(unit,A)) -> rd(unit,A) collapsed.
% Rule [27] rd(mult(A,mult(A,mult(B,C))),C) -> mult(A,mult(A,B)) collapsed.
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [52] rd(A,rd(A,rd(unit,A))) -> rd(unit,A)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [53] mult(rd(unit,A),rd(A,rd(unit,A))) -> A
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [54] rd(A,mult(rd(unit,B),mult(rd(unit,B),A))) -> rd(B,rd(unit,B))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [55] mult(rd(unit,rd(A,rd(unit,A))),B) -> mult(rd(unit,A),mult(rd(unit,A),B))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [56] rd(mult(A,B),mult(rd(unit,A),B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [57] mult(A,rd(unit,rd(A,rd(unit,A)))) -> rd(unit,A)
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [58] rd(A,mult(B,mult(B,A))) -> rd(unit,rd(B,rd(unit,B)))
% Rule [54] rd(A,mult(rd(unit,B),mult(rd(unit,B),A))) -> rd(B,rd(unit,B))
% collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [59] mult(rd(B,mult(rd(A,B),A)),A) -> mult(rd(unit,rd(A,B)),B)
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [60] rd(mult(A,mult(A,B)),mult(rd(unit,C),B)) <-> mult(A,mult(A,C))
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [61] mult(A,mult(A,C)) <-> rd(mult(A,mult(A,B)),mult(rd(unit,C),B))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [62] mult(rd(unit,A),rd(mult(A,mult(A,B)),C)) -> mult(A,rd(B,C))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [63] mult(mult(A,C),mult(rd(unit,mult(rd(unit,A),C)),B)) -> mult(A,mult(A,B))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 37
% Rule [63]
% mult(mult(A,C),mult(rd(unit,mult(rd(unit,A),C)),B)) -> mult(A,mult(A,B)) is composed into 
% [63]
% mult(mult(A,C),mult(rd(unit,mult(rd(unit,A),C)),B)) ->
% rd(rd(A,rd(unit,A)),rd(unit,B))
% Rule [55]
% mult(rd(unit,rd(A,rd(unit,A))),B) -> mult(rd(unit,A),mult(rd(unit,A),B)) is composed into 
% [55]
% mult(rd(unit,rd(A,rd(unit,A))),B) ->
% rd(rd(rd(unit,A),rd(unit,rd(unit,A))),rd(unit,B))
% Rule [49] mult(rd(A,rd(unit,A)),B) -> mult(A,mult(A,B)) is composed into 
% [49] mult(rd(A,rd(unit,A)),B) -> rd(rd(A,rd(unit,A)),rd(unit,B))
% New rule produced : [64] mult(A,mult(A,B)) -> rd(rd(A,rd(unit,A)),rd(unit,B))
% Rule [7] mult(mult(A,mult(A,B)),C) -> mult(A,mult(A,mult(B,C))) collapsed.
% Rule [28] mult(A,mult(A,rd(B,C))) -> rd(mult(A,mult(A,B)),C) collapsed.
% Rule [29] mult(A,mult(A,mult(ld(A,B),C))) -> mult(mult(A,B),C) collapsed.
% Rule [58] rd(A,mult(B,mult(B,A))) -> rd(unit,rd(B,rd(unit,B))) collapsed.
% Rule [60] rd(mult(A,mult(A,B)),mult(rd(unit,C),B)) <-> mult(A,mult(A,C))
% collapsed.
% Rule [61] mult(A,mult(A,C)) <-> rd(mult(A,mult(A,B)),mult(rd(unit,C),B))
% collapsed.
% Rule [62] mult(rd(unit,A),rd(mult(A,mult(A,B)),C)) -> mult(A,rd(B,C))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(a,rd(unit,rd(rd(unit,c),rd(b,rd(unit,b))))) = mult(mult(a,rd(b,rd(unit,b))),c)
% 
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [65]
% mult(rd(rd(A,rd(unit,A)),rd(unit,B)),C) ->
% rd(rd(A,rd(unit,A)),rd(unit,mult(B,C)))
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [66] rd(rd(unit,A),rd(unit,rd(A,rd(unit,A)))) -> A
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [24] rd(A,ld(rd(A,B),B)) -> rd(unit,rd(B,mult(rd(A,B),A))) is composed into 
% [24] rd(A,ld(rd(A,B),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% New rule produced :
% [67] rd(unit,rd(B,mult(rd(A,B),A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [68]
% 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: 246
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [69]
% rd(unit,rd(rd(B,C),rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [70]
% rd(unit,rd(rd(unit,B),rd(rd(A,rd(unit,A)),rd(unit,B)))) <->
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 243
% Current number of ordered equations: 1
% Current number of rules: 37
% Rule [68]
% 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)))) is composed into 
% [68]
% rd(unit,rd(rd(unit,A),mult(A,rd(A,rd(unit,A))))) ->
% rd(unit,rd(rd(unit,A),rd(rd(A,rd(unit,A)),rd(unit,A))))
% New rule produced :
% [71]
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B)))) <->
% rd(unit,rd(rd(unit,B),rd(rd(A,rd(unit,A)),rd(unit,B))))
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [72] mult(A,mult(mult(rd(unit,A),B),C)) -> mult(rd(unit,A),mult(mult(A,B),C))
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [73] rd(mult(mult(A,B),C),mult(mult(rd(unit,A),B),C)) -> rd(A,rd(unit,A))
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [74] rd(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,A))) -> rd(B,rd(unit,B))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [75] rd(A,mult(rd(unit,rd(A,B)),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [76] rd(rd(rd(A,rd(unit,A)),rd(unit,B)),mult(C,B)) -> rd(rd(A,rd(unit,A)),C)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [77]
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,mult(C,A)))) ->
% rd(unit,rd(rd(B,rd(unit,B)),rd(unit,C)))
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [78]
% mult(mult(A,rd(A,rd(unit,A))),B) -> mult(A,rd(rd(A,rd(unit,A)),rd(unit,B)))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [79] rd(rd(A,rd(unit,A)),rd(B,C)) <-> rd(rd(rd(A,rd(unit,A)),rd(unit,C)),B)
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [80] rd(rd(rd(A,rd(unit,A)),rd(unit,C)),B) <-> rd(rd(A,rd(unit,A)),rd(B,C))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [81] rd(A,mult(A,rd(A,rd(unit,A)))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [82]
% rd(rd(B,rd(unit,B)),rd(unit,mult(C,mult(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,C))),A))))
% -> A
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [83]
% mult(rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B))),rd(rd(A,rd(unit,A)),rd(unit,
% mult(B,C))))
% -> C
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [84]
% mult(rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))),B) ->
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))))
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [85] rd(rd(rd(A,B),rd(unit,rd(A,B))),rd(unit,mult(rd(unit,rd(A,B)),B))) -> A
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [86]
% rd(A,mult(rd(unit,A),rd(unit,rd(A,rd(unit,A))))) ->
% rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [87] rd(rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C),mult(A,rd(B,C))) -> A
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [88]
% mult(rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C),V_3) ->
% rd(rd(A,rd(unit,A)),rd(unit,mult(rd(B,C),V_3)))
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [89]
% rd(unit,rd(rd(unit,B),rd(unit,rd(B,rd(rd(A,rd(unit,A)),B))))) ->
% rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [90]
% mult(rd(unit,A),rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)) -> mult(A,rd(B,C))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [91]
% rd(rd(B,rd(unit,B)),rd(unit,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,A)))) -> A
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [92]
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B)))) -> B
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [93]
% rd(rd(A,rd(unit,A)),rd(unit,mult(B,rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B))))))
% -> unit
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [94] mult(rd(unit,A),rd(mult(A,B),C)) -> mult(A,rd(mult(rd(unit,A),B),C))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [95] mult(rd(unit,A),rd(rd(A,rd(unit,A)),B)) -> mult(A,rd(unit,B))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [96] mult(mult(A,B),rd(unit,mult(rd(unit,A),B))) -> rd(A,rd(unit,A))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [97]
% mult(mult(rd(A,B),A),C) ->
% rd(rd(rd(A,B),rd(unit,rd(A,B))),rd(unit,mult(B,C)))
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [98]
% rd(rd(A,rd(unit,A)),rd(B,rd(rd(A,rd(unit,A)),rd(unit,B)))) ->
% rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [99]
% rd(rd(rd(A,rd(unit,A)),rd(unit,B)),rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B)))
% -> rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [100]
% rd(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(rd(unit,rd(B,rd(unit,B))),
% rd(unit,A))))) ->
% rd(unit,rd(rd(unit,B),rd(unit,rd(rd(unit,B),rd(B,rd(unit,B))))))
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [101]
% rd(mult(A,rd(rd(A,rd(unit,A)),rd(unit,B))),mult(rd(unit,A),B)) ->
% rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [102]
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),
% rd(A,rd(unit,A))))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [103]
% rd(rd(unit,rd(A,rd(unit,A))),rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,
% rd(unit,A))))))
% -> rd(A,rd(unit,A))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [104]
% rd(rd(A,rd(unit,A)),rd(C,rd(rd(B,rd(unit,B)),rd(unit,C)))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B))))
% Rule
% [98]
% rd(rd(A,rd(unit,A)),rd(B,rd(rd(A,rd(unit,A)),rd(unit,B)))) ->
% rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))))) collapsed.
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [105]
% rd(rd(rd(A,rd(unit,A)),rd(unit,C)),rd(rd(unit,rd(B,rd(unit,B))),rd(unit,C)))
% -> rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B))))
% Rule
% [99]
% rd(rd(rd(A,rd(unit,A)),rd(unit,B)),rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B)))
% -> rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))))
% collapsed.
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [106]
% rd(rd(rd(A,rd(unit,A)),rd(unit,mult(B,C))),mult(rd(unit,B),C)) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [107]
% rd(rd(A,rd(unit,A)),rd(unit,mult(mult(mult(rd(unit,A),B),C),V_3))) ->
% mult(mult(mult(A,B),C),V_3)
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [108] rd(A,rd(rd(B,rd(unit,B)),rd(unit,A))) -> rd(unit,rd(B,rd(unit,B)))
% Rule
% [104]
% rd(rd(A,rd(unit,A)),rd(C,rd(rd(B,rd(unit,B)),rd(unit,C)))) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B)))) collapsed.
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [109] rd(A,mult(rd(B,A),B)) -> rd(unit,rd(rd(B,A),rd(unit,rd(B,A))))
% Rule [59] mult(rd(B,mult(rd(A,B),A)),A) -> mult(rd(unit,rd(A,B)),B)
% collapsed.
% Rule [67] 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: 173
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [110]
% rd(rd(A,B),rd(rd(rd(C,rd(unit,C)),rd(unit,A)),B)) ->
% rd(unit,rd(C,rd(unit,C)))
% Rule
% [69]
% rd(unit,rd(rd(B,C),rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C))) ->
% rd(A,rd(unit,A)) collapsed.
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [111]
% mult(rd(unit,rd(B,A)),A) ->
% rd(unit,rd(rd(unit,B),rd(rd(A,B),rd(unit,rd(A,B)))))
% Rule [75] rd(A,mult(rd(unit,rd(A,B)),B)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% collapsed.
% Rule
% [85] rd(rd(rd(A,B),rd(unit,rd(A,B))),rd(unit,mult(rd(unit,rd(A,B)),B))) -> A
% collapsed.
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [112]
% mult(A,rd(C,mult(B,rd(rd(A,rd(unit,A)),rd(unit,C))))) <->
% mult(rd(unit,A),rd(unit,B))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [113]
% mult(rd(unit,A),rd(unit,B)) <->
% mult(A,rd(C,mult(B,rd(rd(A,rd(unit,A)),rd(unit,C)))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [114] rd(rd(A,rd(unit,A)),rd(unit,mult(rd(unit,A),B))) -> mult(A,B)
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [115] mult(A,rd(A,rd(unit,A))) -> rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))
% Rule
% [68]
% rd(unit,rd(rd(unit,A),mult(A,rd(A,rd(unit,A))))) ->
% rd(unit,rd(rd(unit,A),rd(rd(A,rd(unit,A)),rd(unit,A)))) collapsed.
% Rule
% [78]
% mult(mult(A,rd(A,rd(unit,A))),B) -> mult(A,rd(rd(A,rd(unit,A)),rd(unit,B)))
% collapsed.
% Rule [81] rd(A,mult(A,rd(A,rd(unit,A)))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [116]
% rd(rd(A,rd(unit,A)),rd(unit,mult(mult(rd(unit,A),B),C))) -> mult(mult(A,B),C)
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [117]
% rd(unit,rd(rd(unit,A),mult(rd(unit,A),rd(unit,rd(A,rd(unit,A)))))) ->
% rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [118]
% rd(unit,rd(rd(B,C),mult(A,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)))) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [119]
% rd(mult(A,mult(mult(A,B),C)),mult(mult(rd(unit,A),B),C)) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [120]
% rd(mult(A,B),mult(rd(unit,C),mult(rd(unit,A),B))) ->
% rd(rd(A,rd(unit,A)),rd(unit,C))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [121]
% rd(unit,mult(rd(unit,A),rd(B,rd(unit,B)))) ->
% rd(rd(unit,rd(B,rd(unit,B))),rd(unit,A))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [122]
% rd(mult(rd(A,B),A),mult(rd(unit,C),B)) ->
% rd(rd(rd(A,B),rd(unit,rd(A,B))),rd(unit,C))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [123]
% mult(rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B))),rd(rd(A,rd(unit,A)),rd(unit,C)))
% -> mult(rd(unit,B),C)
% Rule
% [83]
% mult(rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B))),rd(rd(A,rd(unit,A)),rd(unit,
% mult(B,C))))
% -> C collapsed.
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [124]
% rd(rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))),mult(rd(unit,B),A)) ->
% rd(rd(A,rd(unit,A)),rd(unit,B))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [125]
% rd(unit,rd(mult(rd(unit,A),B),rd(rd(C,rd(unit,C)),rd(unit,B)))) <->
% rd(rd(C,rd(unit,C)),rd(unit,A))
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [126]
% rd(rd(C,rd(unit,C)),rd(unit,A)) <->
% rd(unit,rd(mult(rd(unit,A),B),rd(rd(C,rd(unit,C)),rd(unit,B))))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [127]
% mult(rd(unit,A),rd(rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))),B)) ->
% mult(A,rd(A,B))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [128]
% mult(rd(unit,A),rd(unit,rd(B,rd(rd(A,rd(unit,A)),rd(unit,C))))) ->
% mult(A,rd(C,B))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [129]
% mult(mult(A,B),mult(rd(unit,A),B)) ->
% rd(mult(A,B),rd(unit,mult(rd(unit,A),B)))
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [130]
% mult(rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))),mult(rd(unit,A),B)) ->
% rd(rd(A,rd(unit,A)),rd(unit,B))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [131]
% mult(A,mult(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,A))),C)) ->
% rd(rd(unit,rd(B,rd(unit,B))),rd(unit,C))
% Rule
% [82]
% rd(rd(B,rd(unit,B)),rd(unit,mult(C,mult(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,C))),A))))
% -> A collapsed.
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [132]
% mult(rd(unit,mult(rd(unit,A),B)),C) ->
% mult(rd(unit,mult(A,B)),rd(rd(A,rd(unit,A)),rd(unit,C)))
% Rule
% [63]
% mult(mult(A,C),mult(rd(unit,mult(rd(unit,A),C)),B)) ->
% rd(rd(A,rd(unit,A)),rd(unit,B)) collapsed.
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 85
% Rule [126]
% rd(rd(C,rd(unit,C)),rd(unit,A)) <->
% rd(unit,rd(mult(rd(unit,A),B),rd(rd(C,rd(unit,C)),rd(unit,B)))) is composed into 
% [126]
% rd(rd(C,rd(unit,C)),rd(unit,A)) <->
% rd(unit,rd(mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))),rd(rd(C,rd(unit,C)),
% rd(unit,B))))
% Rule [112]
% mult(A,rd(C,mult(B,rd(rd(A,rd(unit,A)),rd(unit,C))))) <->
% mult(rd(unit,A),rd(unit,B)) is composed into [112]
% mult(A,rd(C,mult(B,
% rd(rd(A,
% rd(unit,A)),
% rd(unit,C)))))
% ->
% mult(A,rd(rd(unit,rd(A,
% rd(unit,A))),
% rd(unit,rd(unit,B))))
% Rule [33] ld(A,B) -> mult(rd(unit,A),B) is composed into [33]
% ld(A,B) ->
% mult(A,rd(rd(unit,
% rd(A,
% rd(unit,A))),
% rd(unit,B)))
% New rule produced :
% [133] mult(rd(unit,A),B) -> mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B)))
% Rule [36] mult(rd(unit,A),mult(A,B)) -> B collapsed.
% Rule [43] mult(A,mult(rd(unit,A),B)) -> B collapsed.
% Rule [45] mult(rd(unit,rd(B,A)),B) -> A collapsed.
% Rule [53] mult(rd(unit,A),rd(A,rd(unit,A))) -> A collapsed.
% Rule
% [55]
% mult(rd(unit,rd(A,rd(unit,A))),B) ->
% rd(rd(rd(unit,A),rd(unit,rd(unit,A))),rd(unit,B)) collapsed.
% Rule [56] rd(mult(A,B),mult(rd(unit,A),B)) -> rd(A,rd(unit,A)) collapsed.
% Rule
% [72] mult(A,mult(mult(rd(unit,A),B),C)) -> mult(rd(unit,A),mult(mult(A,B),C))
% collapsed.
% Rule
% [73] rd(mult(mult(A,B),C),mult(mult(rd(unit,A),B),C)) -> rd(A,rd(unit,A))
% collapsed.
% Rule
% [86]
% rd(A,mult(rd(unit,A),rd(unit,rd(A,rd(unit,A))))) ->
% rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))))) collapsed.
% Rule
% [90]
% mult(rd(unit,A),rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)) -> mult(A,rd(B,C))
% collapsed.
% Rule
% [94] mult(rd(unit,A),rd(mult(A,B),C)) -> mult(A,rd(mult(rd(unit,A),B),C))
% collapsed.
% Rule [95] mult(rd(unit,A),rd(rd(A,rd(unit,A)),B)) -> mult(A,rd(unit,B))
% collapsed.
% Rule [96] mult(mult(A,B),rd(unit,mult(rd(unit,A),B))) -> rd(A,rd(unit,A))
% collapsed.
% Rule
% [101]
% rd(mult(A,rd(rd(A,rd(unit,A)),rd(unit,B))),mult(rd(unit,A),B)) ->
% rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))))) collapsed.
% Rule
% [106]
% rd(rd(rd(A,rd(unit,A)),rd(unit,mult(B,C))),mult(rd(unit,B),C)) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B)))) collapsed.
% Rule
% [107]
% rd(rd(A,rd(unit,A)),rd(unit,mult(mult(mult(rd(unit,A),B),C),V_3))) ->
% mult(mult(mult(A,B),C),V_3) collapsed.
% Rule
% [111]
% mult(rd(unit,rd(B,A)),A) ->
% rd(unit,rd(rd(unit,B),rd(rd(A,B),rd(unit,rd(A,B))))) collapsed.
% Rule
% [113]
% mult(rd(unit,A),rd(unit,B)) <->
% mult(A,rd(C,mult(B,rd(rd(A,rd(unit,A)),rd(unit,C))))) collapsed.
% Rule [114] rd(rd(A,rd(unit,A)),rd(unit,mult(rd(unit,A),B))) -> mult(A,B)
% collapsed.
% Rule
% [116]
% rd(rd(A,rd(unit,A)),rd(unit,mult(mult(rd(unit,A),B),C))) -> mult(mult(A,B),C)
% collapsed.
% Rule
% [117]
% rd(unit,rd(rd(unit,A),mult(rd(unit,A),rd(unit,rd(A,rd(unit,A)))))) ->
% rd(unit,rd(A,rd(unit,A))) collapsed.
% Rule
% [119]
% rd(mult(A,mult(mult(A,B),C)),mult(mult(rd(unit,A),B),C)) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))) collapsed.
% Rule
% [120]
% rd(mult(A,B),mult(rd(unit,C),mult(rd(unit,A),B))) ->
% rd(rd(A,rd(unit,A)),rd(unit,C)) collapsed.
% Rule
% [121]
% rd(unit,mult(rd(unit,A),rd(B,rd(unit,B)))) ->
% rd(rd(unit,rd(B,rd(unit,B))),rd(unit,A)) collapsed.
% Rule
% [122]
% rd(mult(rd(A,B),A),mult(rd(unit,C),B)) ->
% rd(rd(rd(A,B),rd(unit,rd(A,B))),rd(unit,C)) collapsed.
% Rule
% [123]
% mult(rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B))),rd(rd(A,rd(unit,A)),rd(unit,C)))
% -> mult(rd(unit,B),C) collapsed.
% Rule
% [124]
% rd(rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))),mult(rd(unit,B),A)) ->
% rd(rd(A,rd(unit,A)),rd(unit,B)) collapsed.
% Rule
% [125]
% rd(unit,rd(mult(rd(unit,A),B),rd(rd(C,rd(unit,C)),rd(unit,B)))) <->
% rd(rd(C,rd(unit,C)),rd(unit,A)) collapsed.
% Rule
% [127]
% mult(rd(unit,A),rd(rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))),B)) ->
% mult(A,rd(A,B)) collapsed.
% Rule
% [128]
% mult(rd(unit,A),rd(unit,rd(B,rd(rd(A,rd(unit,A)),rd(unit,C))))) ->
% mult(A,rd(C,B)) collapsed.
% Rule
% [129]
% mult(mult(A,B),mult(rd(unit,A),B)) ->
% rd(mult(A,B),rd(unit,mult(rd(unit,A),B))) collapsed.
% Rule
% [130]
% mult(rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))),mult(rd(unit,A),B)) ->
% rd(rd(A,rd(unit,A)),rd(unit,B)) collapsed.
% Rule
% [131]
% mult(A,mult(rd(unit,rd(rd(B,rd(unit,B)),rd(unit,A))),C)) ->
% rd(rd(unit,rd(B,rd(unit,B))),rd(unit,C)) collapsed.
% Rule
% [132]
% mult(rd(unit,mult(rd(unit,A),B)),C) ->
% mult(rd(unit,mult(A,B)),rd(rd(A,rd(unit,A)),rd(unit,C))) collapsed.
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [134] mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))) -> B
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 53
% Rule [133]
% mult(rd(unit,A),B) -> mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))) is composed into 
% [133] mult(rd(unit,A),B) -> rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))
% Rule [126]
% rd(rd(C,rd(unit,C)),rd(unit,A)) <->
% rd(unit,rd(mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))),rd(rd(C,
% rd(unit,C)),
% rd(unit,B)))) is composed into 
% [126]
% rd(rd(C,rd(unit,C)),rd(unit,A)) <->
% rd(unit,rd(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),rd(rd(C,rd(unit,C)),
% rd(unit,B))))
% Rule [112]
% mult(A,rd(C,mult(B,rd(rd(A,rd(unit,A)),rd(unit,C))))) ->
% mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(unit,B)))) is composed into 
% [112]
% mult(A,rd(C,mult(B,rd(rd(A,rd(unit,A)),rd(unit,C))))) ->
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,rd(unit,B))))
% Rule [33] ld(A,B) -> mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))) is composed into 
% [33] ld(A,B) -> rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))
% New rule produced :
% [135]
% mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))) ->
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))
% Rule [134] mult(A,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))) -> B
% collapsed.
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [136] rd(rd(rd(A,rd(unit,A)),B),mult(A,rd(unit,B))) -> A
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [137] rd(rd(unit,A),rd(rd(B,rd(unit,B)),A)) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [138] rd(rd(unit,A),rd(rd(unit,rd(B,rd(unit,B))),A)) -> rd(B,rd(unit,B))
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [139]
% mult(rd(rd(A,rd(unit,A)),B),mult(B,C)) -> rd(rd(A,rd(unit,A)),rd(unit,C))
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [140] mult(rd(rd(A,rd(unit,A)),rd(B,C)),B) -> rd(rd(A,rd(unit,A)),rd(unit,C))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [141] rd(rd(A,rd(unit,A)),rd(C,rd(unit,B))) <-> rd(rd(rd(A,rd(unit,A)),B),C)
% Current number of equations to process: 716
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [142] rd(rd(rd(A,rd(unit,A)),B),C) <-> rd(rd(A,rd(unit,A)),rd(C,rd(unit,B)))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [143] rd(rd(rd(A,rd(unit,A)),rd(B,C)),mult(A,rd(C,B))) -> A
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [144] rd(B,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B)))) -> A
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [145] rd(rd(unit,A),mult(B,rd(unit,mult(A,rd(B,rd(unit,B)))))) -> B
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [146] rd(rd(unit,rd(A,rd(B,rd(unit,B)))),mult(B,rd(unit,A))) -> B
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [147] rd(rd(unit,rd(A,B)),rd(B,A)) -> unit
% Current number of equations to process: 1143
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [148] rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(A,rd(unit,A))))) -> A
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [149] rd(rd(unit,rd(rd(unit,A),rd(B,rd(unit,B)))),mult(B,A)) -> B
% Current number of equations to process: 1240
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [150] rd(unit,rd(rd(A,B),rd(unit,rd(B,A)))) -> unit
% Current number of equations to process: 1250
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [151] rd(rd(A,B),rd(unit,rd(B,A))) -> unit
% Rule [150] rd(unit,rd(rd(A,B),rd(unit,rd(B,A)))) -> unit collapsed.
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [152] mult(A,rd(rd(unit,A),rd(A,rd(unit,A)))) -> rd(unit,rd(A,rd(unit,A)))
% Rule [148] rd(rd(unit,A),mult(A,rd(rd(unit,A),rd(A,rd(unit,A))))) -> A
% collapsed.
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [153] rd(rd(rd(A,rd(unit,A)),rd(B,C)),rd(C,B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [154]
% rd(unit,rd(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),mult(A,rd(
% rd(A,
% rd(unit,A)),
% rd(unit,B)))))
% -> rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))))
% Current number of equations to process: 1398
% Current number of ordered equations: 0
% Current number of rules: 70
% Rule [79]
% rd(rd(A,rd(unit,A)),rd(B,C)) <-> rd(rd(rd(A,rd(unit,A)),rd(unit,C)),B) is composed into 
% [79] rd(rd(A,rd(unit,A)),rd(B,C)) <-> rd(rd(A,rd(unit,A)),rd(unit,rd(C,B)))
% New rule produced :
% [155]
% rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C) ->
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))
% Rule
% [76] rd(rd(rd(A,rd(unit,A)),rd(unit,B)),mult(C,B)) -> rd(rd(A,rd(unit,A)),C)
% collapsed.
% Rule
% [80] rd(rd(rd(A,rd(unit,A)),rd(unit,C)),B) <-> rd(rd(A,rd(unit,A)),rd(B,C))
% collapsed.
% Rule [87] rd(rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C),mult(A,rd(B,C))) -> A
% collapsed.
% Rule
% [88]
% mult(rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C),V_3) ->
% rd(rd(A,rd(unit,A)),rd(unit,mult(rd(B,C),V_3))) collapsed.
% Rule
% [105]
% rd(rd(rd(A,rd(unit,A)),rd(unit,C)),rd(rd(unit,rd(B,rd(unit,B))),rd(unit,C)))
% -> rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,B)))) collapsed.
% Rule
% [110]
% rd(rd(A,B),rd(rd(rd(C,rd(unit,C)),rd(unit,A)),B)) ->
% rd(unit,rd(C,rd(unit,C))) collapsed.
% Rule
% [118]
% rd(unit,rd(rd(B,C),mult(A,rd(rd(rd(A,rd(unit,A)),rd(unit,B)),C)))) ->
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))) collapsed.
% Current number of equations to process: 1507
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [156]
% mult(mult(A,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))),V_3) ->
% rd(rd(A,rd(unit,A)),rd(unit,mult(mult(A,rd(B,C)),V_3)))
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [157]
% rd(unit,rd(mult(A,rd(B,C)),mult(A,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [158]
% rd(unit,rd(rd(unit,rd(A,B)),rd(rd(A,B),rd(unit,rd(A,B))))) ->
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(rd(A,B),rd(unit,rd(A,B)))))))
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 67
% Rule [154]
% rd(unit,rd(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),mult(A,
% rd(rd(A,
% rd(unit,A)),
% rd(unit,B)))))
% -> rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))))) is composed into 
% [154]
% rd(unit,rd(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),mult(A,rd(
% rd(A,
% rd(unit,A)),
% rd(unit,B)))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(unit,rd(A,rd(unit,A))))))
% Rule [115]
% mult(A,rd(A,rd(unit,A))) -> rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))) is composed into 
% [115] mult(A,rd(A,rd(unit,A))) -> rd(A,rd(unit,rd(A,rd(unit,A))))
% Rule [100]
% rd(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(rd(unit,rd(B,rd(unit,B))),
% rd(unit,A))))) ->
% rd(unit,rd(rd(unit,B),rd(unit,rd(rd(unit,B),rd(B,rd(unit,B)))))) is composed into 
% [100]
% rd(A,rd(rd(unit,rd(B,rd(unit,B))),rd(unit,rd(rd(unit,rd(B,rd(unit,B))),
% rd(unit,A))))) ->
% rd(unit,rd(rd(unit,B),rd(B,rd(unit,rd(B,rd(unit,B))))))
% New rule produced :
% [159]
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))) -> rd(A,rd(unit,rd(A,rd(unit,A))))
% Rule
% [84]
% mult(rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,rd(unit,A))))),B) ->
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B))))
% collapsed.
% Rule
% [102]
% rd(unit,rd(rd(A,rd(unit,A)),rd(unit,rd(rd(unit,A),rd(unit,rd(rd(unit,A),
% rd(A,rd(unit,A))))))))
% -> rd(A,rd(unit,A)) collapsed.
% Rule
% [103]
% rd(rd(unit,rd(A,rd(unit,A))),rd(rd(unit,A),rd(unit,rd(rd(unit,A),rd(A,
% rd(unit,A))))))
% -> rd(A,rd(unit,A)) collapsed.
% Rule
% [158]
% rd(unit,rd(rd(unit,rd(A,B)),rd(rd(A,B),rd(unit,rd(A,B))))) ->
% rd(unit,rd(B,rd(unit,rd(rd(unit,A),rd(rd(A,B),rd(unit,rd(A,B)))))))
% collapsed.
% Current number of equations to process: 1799
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [160]
% rd(rd(unit,A),rd(A,rd(unit,A))) -> rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))
% Rule
% [152] mult(A,rd(rd(unit,A),rd(A,rd(unit,A)))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Rule
% [159]
% rd(unit,rd(rd(unit,A),rd(A,rd(unit,A)))) -> rd(A,rd(unit,rd(A,rd(unit,A))))
% collapsed.
% Current number of equations to process: 1802
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [161] mult(rd(A,rd(unit,rd(A,rd(unit,A)))),rd(unit,A)) -> rd(A,rd(unit,A))
% Current number of equations to process: 1810
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [162]
% rd(rd(A,rd(unit,A)),rd(unit,rd(B,rd(unit,rd(rd(unit,B),rd(unit,rd(rd(B,C),
% rd(unit,
% rd(B,C)))))))))
% -> rd(rd(A,rd(unit,A)),rd(unit,rd(rd(B,C),rd(unit,rd(B,C)))))
% Current number of equations to process: 1831
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [163]
% rd(mult(A,mult(mult(A,B),C)),mult(A,mult(rd(rd(unit,rd(A,rd(unit,A))),
% rd(unit,mult(A,B))),C))) ->
% rd(A,rd(unit,A))
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [164]
% mult(mult(A,B),mult(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),
% rd(C,V_3))) ->
% rd(mult(mult(A,B),mult(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),C)),V_3)
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [165]
% mult(A,rd(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,B)),C)) ->
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,rd(B,C))))
% Current number of equations to process: 2010
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [166]
% mult(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),C) ->
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(mult(A,B),C)))
% Rule
% [163]
% rd(mult(A,mult(mult(A,B),C)),mult(A,mult(rd(rd(unit,rd(A,rd(unit,A))),
% rd(unit,mult(A,B))),C))) ->
% rd(A,rd(unit,A)) collapsed.
% Rule
% [164]
% mult(mult(A,B),mult(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),
% rd(C,V_3))) ->
% rd(mult(mult(A,B),mult(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),C)),V_3)
% collapsed.
% Current number of equations to process: 2053
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [167]
% rd(unit,rd(rd(B,rd(unit,B)),rd(rd(A,rd(unit,A)),rd(unit,B)))) ->
% rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 2097
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [168] rd(A,rd(A,rd(unit,rd(A,rd(unit,A))))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 2192
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [169]
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,rd(rd(A,rd(unit,A)),rd(unit,C)))))
% -> mult(A,C)
% Current number of equations to process: 2211
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [170]
% rd(rd(unit,rd(rd(A,B),rd(unit,rd(A,B)))),rd(unit,mult(rd(A,B),rd(mult(
% rd(A,B),A),C))))
% -> mult(rd(A,B),rd(B,C))
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [171]
% mult(A,rd(rd(A,rd(unit,A)),rd(unit,B))) ->
% rd(rd(A,rd(unit,A)),rd(unit,mult(A,B)))
% Rule
% [154]
% rd(unit,rd(rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,B))),mult(A,rd(
% rd(A,
% rd(unit,A)),
% rd(unit,B)))))
% -> rd(unit,rd(rd(unit,A),rd(A,rd(unit,rd(A,rd(unit,A)))))) collapsed.
% Rule
% [156]
% mult(mult(A,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))),V_3) ->
% rd(rd(A,rd(unit,A)),rd(unit,mult(mult(A,rd(B,C)),V_3))) collapsed.
% Rule
% [157]
% rd(unit,rd(mult(A,rd(B,C)),mult(A,rd(rd(A,rd(unit,A)),rd(unit,rd(B,C)))))) ->
% rd(A,rd(unit,A)) collapsed.
% Rule
% [169]
% rd(rd(unit,rd(A,rd(unit,A))),rd(unit,mult(A,rd(rd(A,rd(unit,A)),rd(unit,C)))))
% -> mult(A,C) collapsed.
% Current number of equations to process: 2321
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [172]
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),A))) <->
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,A)))
% Current number of equations to process: 2340
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [173]
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,A))) <->
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),A)))
% Current number of equations to process: 2340
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [174] rd(rd(rd(A,rd(unit,A)),B),mult(C,rd(unit,B))) -> rd(rd(A,rd(unit,A)),C)
% Rule [136] rd(rd(rd(A,rd(unit,A)),B),mult(A,rd(unit,B))) -> A collapsed.
% Current number of equations to process: 2486
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [175] rd(unit,mult(A,rd(unit,rd(B,rd(unit,B))))) -> rd(rd(B,rd(unit,B)),A)
% Current number of equations to process: 2516
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [176] mult(B,rd(unit,rd(A,rd(unit,A)))) -> rd(unit,rd(rd(A,rd(unit,A)),B))
% Rule [57] mult(A,rd(unit,rd(A,rd(unit,A)))) -> rd(unit,A) collapsed.
% Rule
% [175] rd(unit,mult(A,rd(unit,rd(B,rd(unit,B))))) -> rd(rd(B,rd(unit,B)),A)
% collapsed.
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [177] mult(A,rd(B,rd(unit,B))) -> rd(unit,rd(rd(unit,rd(B,rd(unit,B))),A))
% Rule [115] mult(A,rd(A,rd(unit,A))) -> rd(A,rd(unit,rd(A,rd(unit,A))))
% collapsed.
% Rule [145] rd(rd(unit,A),mult(B,rd(unit,mult(A,rd(B,rd(unit,B)))))) -> B
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% mult(a,rd(unit,rd(rd(unit,c),rd(b,rd(unit,b))))) = mult(rd(a,rd(unit,
% rd(b,rd(unit,b)))),c)
% 
% Current number of equations to process: 2586
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [178]
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))) <->
% rd(rd(C,rd(unit,C)),rd(unit,rd(B,A)))
% Current number of equations to process: 2623
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [179]
% rd(rd(C,rd(unit,C)),rd(unit,rd(B,A))) <->
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C))))
% Current number of equations to process: 2623
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [180] rd(A,rd(rd(B,rd(unit,B)),A)) <-> rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 2743
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [181] rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) <-> rd(A,rd(rd(B,rd(unit,B)),A))
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [182] mult(rd(A,rd(rd(B,rd(unit,B)),A)),B) -> rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 2870
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [183] rd(B,rd(rd(A,rd(unit,A)),B)) <-> rd(unit,rd(A,rd(rd(B,rd(unit,B)),A)))
% Current number of equations to process: 2880
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [184] rd(unit,rd(A,rd(rd(B,rd(unit,B)),A))) <-> rd(B,rd(rd(A,rd(unit,A)),B))
% Current number of equations to process: 2880
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [185]
% mult(A,rd(unit,rd(rd(B,rd(unit,B)),rd(unit,A)))) -> rd(unit,rd(B,rd(unit,B)))
% Rule
% [93]
% rd(rd(A,rd(unit,A)),rd(unit,mult(B,rd(unit,rd(rd(A,rd(unit,A)),rd(unit,B))))))
% -> unit collapsed.
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [186] mult(A,rd(rd(unit,A),rd(B,rd(unit,B)))) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [187] mult(A,rd(rd(unit,A),rd(unit,rd(B,rd(unit,B))))) -> rd(B,rd(unit,B))
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [188] rd(unit,mult(rd(B,A),B)) -> rd(rd(unit,A),rd(rd(B,A),rd(unit,rd(B,A))))
% Current number of equations to process: 3173
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [189]
% rd(A,rd(unit,rd(rd(unit,A),rd(B,rd(unit,B))))) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [190] rd(rd(A,B),rd(rd(C,rd(unit,C)),rd(B,A))) -> rd(unit,rd(C,rd(unit,C)))
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [191]
% rd(rd(unit,A),rd(unit,rd(A,rd(B,rd(unit,B))))) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 3369
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [192]
% mult(rd(rd(A,rd(unit,A)),B),rd(unit,B)) ->
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 3403
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [193]
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,C))) <->
% rd(unit,rd(rd(B,rd(unit,B)),rd(A,C)))
% Current number of equations to process: 3443
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [194]
% rd(unit,rd(rd(B,rd(unit,B)),rd(A,C))) <->
% rd(A,rd(rd(B,rd(unit,B)),rd(unit,C)))
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [195] rd(A,rd(rd(C,rd(unit,C)),rd(unit,B))) <-> rd(rd(A,B),rd(C,rd(unit,C)))
% Current number of equations to process: 3571
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [196] rd(rd(A,B),rd(C,rd(unit,C))) <-> rd(A,rd(rd(C,rd(unit,C)),rd(unit,B)))
% Current number of equations to process: 3571
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [197] rd(rd(A,rd(unit,C)),rd(B,rd(unit,B))) <-> rd(A,rd(rd(B,rd(unit,B)),C))
% Rule
% [181] rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) <-> rd(A,rd(rd(B,rd(unit,B)),A))
% collapsed.
% Current number of equations to process: 3696
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [198] rd(A,rd(rd(B,rd(unit,B)),C)) <-> rd(rd(A,rd(unit,C)),rd(B,rd(unit,B)))
% Rule
% [180] rd(A,rd(rd(B,rd(unit,B)),A)) <-> rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [199] mult(rd(rd(A,rd(unit,A)),B),rd(B,rd(A,rd(unit,A)))) -> unit
% Current number of equations to process: 3983
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [200] rd(rd(B,rd(unit,B)),rd(A,rd(unit,rd(B,rd(unit,B))))) -> rd(unit,A)
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [201] rd(rd(unit,A),mult(B,rd(rd(unit,rd(B,rd(unit,B))),A))) -> B
% Current number of equations to process: 4148
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [202]
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),C))) <->
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,C)))
% Rule
% [172]
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),A))) <->
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,A))) collapsed.
% Current number of equations to process: 4207
% Current number of ordered equations: 3
% Current number of rules: 90
% New rule produced :
% [203]
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,C))) <->
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),C)))
% Rule
% [173]
% rd(rd(B,rd(unit,B)),rd(A,rd(unit,A))) <->
% rd(unit,rd(A,rd(rd(B,rd(unit,B)),A))) collapsed.
% Current number of equations to process: 4207
% Current number of ordered equations: 2
% Current number of rules: 90
% New rule produced :
% [204]
% rd(rd(B,rd(unit,B)),rd(C,rd(unit,A))) <->
% rd(rd(unit,rd(A,rd(B,rd(unit,B)))),C)
% Current number of equations to process: 4207
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [205]
% rd(rd(unit,rd(A,rd(B,rd(unit,B)))),C) <->
% rd(rd(B,rd(unit,B)),rd(C,rd(unit,A)))
% Current number of equations to process: 4207
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [206] rd(rd(A,rd(unit,A)),rd(B,rd(unit,A))) -> rd(A,B)
% Rule
% [167]
% rd(unit,rd(rd(B,rd(unit,B)),rd(rd(A,rd(unit,A)),rd(unit,B)))) ->
% rd(rd(A,rd(unit,A)),B) collapsed.
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [207] rd(rd(A,rd(unit,A)),rd(B,A)) <-> rd(rd(A,rd(unit,rd(A,rd(unit,A)))),B)
% Current number of equations to process: 4550
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [208] rd(rd(A,rd(unit,rd(A,rd(unit,A)))),B) <-> rd(rd(A,rd(unit,A)),rd(B,A))
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [209] rd(rd(A,B),rd(rd(unit,A),B)) -> rd(A,rd(unit,A))
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [210] mult(rd(A,B),rd(B,rd(unit,A))) -> rd(A,rd(unit,A))
% Current number of equations to process: 4608
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [211] rd(rd(unit,rd(A,rd(unit,A))),rd(B,A)) -> rd(rd(unit,A),B)
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [212] rd(rd(A,B),mult(A,rd(rd(unit,A),B))) -> A
% Current number of equations to process: 4621
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [213] rd(unit,rd(rd(A,rd(unit,B)),rd(B,rd(unit,B)))) -> rd(B,A)
% Current number of equations to process: 4646
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [214] rd(rd(A,rd(unit,A)),rd(unit,rd(rd(unit,A),B))) -> rd(A,B)
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [215] rd(rd(unit,rd(A,rd(unit,B))),rd(B,A)) -> rd(unit,rd(B,rd(unit,B)))
% Current number of equations to process: 4645
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [216]
% mult(rd(A,B),mult(rd(B,rd(unit,A)),C)) -> rd(rd(A,rd(unit,A)),rd(unit,C))
% Current number of equations to process: 4644
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [217] mult(rd(A,B),rd(rd(B,rd(unit,A)),rd(A,rd(unit,A)))) -> unit
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [218] rd(rd(unit,A),rd(rd(unit,B),mult(A,B))) -> rd(B,rd(unit,B))
% Current number of equations to process: 4897
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [219] rd(rd(A,B),rd(unit,rd(B,rd(unit,A)))) -> rd(A,rd(unit,A))
% Current number of equations to process: 4895
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [220] rd(rd(unit,rd(A,B)),rd(rd(unit,B),A)) -> rd(B,rd(unit,B))
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [221] mult(rd(rd(unit,A),B),rd(B,A)) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [222] rd(rd(A,rd(unit,B)),rd(B,rd(unit,B))) -> rd(unit,rd(B,A))
% Rule [213] rd(unit,rd(rd(A,rd(unit,B)),rd(B,rd(unit,B)))) -> rd(B,A)
% collapsed.
% Rule [217] mult(rd(A,B),rd(rd(B,rd(unit,A)),rd(A,rd(unit,A)))) -> unit
% collapsed.
% Current number of equations to process: 4971
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [223] mult(rd(A,B),rd(unit,rd(rd(unit,A),B))) -> rd(A,rd(unit,A))
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [224] rd(rd(A,B),rd(B,A)) <-> rd(unit,rd(rd(B,A),rd(unit,rd(B,A))))
% Current number of equations to process: 4993
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [225] rd(unit,rd(rd(B,A),rd(unit,rd(B,A)))) <-> rd(rd(A,B),rd(B,A))
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [226] rd(rd(unit,rd(A,B)),mult(B,rd(rd(unit,B),A))) -> B
% Current number of equations to process: 1817
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [227] rd(rd(unit,A),mult(B,rd(rd(unit,B),mult(A,B)))) -> B
% Current number of equations to process: 1856
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [228] rd(rd(A,mult(B,rd(unit,A))),mult(A,rd(unit,B))) -> A
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [229] rd(rd(A,B),mult(A,rd(unit,rd(B,rd(unit,A))))) -> A
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [230] rd(unit,rd(rd(A,B),rd(rd(A,B),rd(B,A)))) -> rd(A,B)
% Current number of equations to process: 1887
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [231] rd(A,mult(B,rd(unit,A))) -> rd(rd(A,rd(unit,A)),B)
% Rule [228] rd(rd(A,mult(B,rd(unit,A))),mult(A,rd(unit,B))) -> A collapsed.
% Current number of equations to process: 1901
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [232] mult(rd(rd(unit,A),B),rd(unit,rd(A,B))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [233] rd(unit,rd(rd(A,B),rd(B,A))) <-> rd(rd(B,A),rd(unit,rd(B,A)))
% Current number of equations to process: 1948
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [234] rd(rd(B,A),rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),rd(B,A)))
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [235] rd(unit,rd(rd(A,B),rd(unit,rd(B,rd(unit,B))))) <-> rd(rd(unit,B),A)
% Current number of equations to process: 1996
% Current number of ordered equations: 2
% Current number of rules: 118
% New rule produced :
% [236] rd(rd(unit,B),A) <-> rd(unit,rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))))
% Current number of equations to process: 1996
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [237] rd(rd(unit,rd(A,rd(unit,A))),rd(unit,rd(A,B))) -> rd(rd(unit,A),B)
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [238] rd(rd(A,rd(B,rd(unit,B))),rd(unit,rd(B,rd(unit,B)))) -> A
% Current number of equations to process: 1994
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [239] rd(rd(A,B),C) <-> rd(rd(A,rd(unit,A)),rd(C,rd(rd(unit,A),B)))
% Current number of equations to process: 1992
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [240] rd(rd(A,rd(unit,A)),rd(C,rd(rd(unit,A),B))) <-> rd(rd(A,B),C)
% Current number of equations to process: 1992
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [241] rd(rd(rd(unit,A),B),rd(unit,rd(B,A))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [242] rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))) <-> rd(unit,rd(rd(unit,B),A))
% Rule [66] rd(rd(unit,A),rd(unit,rd(A,rd(unit,A)))) -> A collapsed.
% Current number of equations to process: 2317
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [243] rd(unit,rd(rd(unit,B),A)) <-> rd(rd(A,B),rd(unit,rd(B,rd(unit,B))))
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [244] rd(rd(A,B),rd(rd(A,B),rd(B,A))) -> rd(unit,rd(A,B))
% Rule [230] rd(unit,rd(rd(A,B),rd(rd(A,B),rd(B,A)))) -> rd(A,B) collapsed.
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [245] rd(rd(unit,A),mult(B,A)) -> rd(rd(unit,rd(A,rd(unit,A))),B)
% Rule [218] rd(rd(unit,A),rd(rd(unit,B),mult(A,B))) -> rd(B,rd(unit,B))
% collapsed.
% Rule [227] rd(rd(unit,A),mult(B,rd(rd(unit,B),mult(A,B)))) -> B collapsed.
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [246] rd(rd(unit,rd(A,B)),rd(unit,rd(A,rd(unit,B)))) -> rd(B,rd(unit,B))
% Current number of equations to process: 3256
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [247]
% rd(mult(A,B),rd(unit,mult(A,B))) -> rd(A,rd(unit,rd(B,rd(unit,mult(A,B)))))
% Current number of equations to process: 3255
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [248] rd(rd(A,B),rd(unit,rd(A,B))) <-> rd(unit,rd(rd(B,A),rd(unit,rd(B,A))))
% Current number of equations to process: 3252
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [249] rd(unit,rd(rd(B,A),rd(unit,rd(B,A)))) <-> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 3252
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [250] rd(rd(unit,rd(A,B)),mult(B,rd(unit,rd(A,rd(unit,B))))) -> B
% Current number of equations to process: 3251
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [251] rd(rd(unit,rd(A,B)),rd(unit,rd(A,rd(unit,A)))) -> rd(B,rd(unit,A))
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [252]
% rd(A,mult(B,rd(rd(unit,rd(B,rd(unit,B))),A))) ->
% rd(rd(A,rd(unit,A)),rd(unit,B))
% Current number of equations to process: 3249
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [253] rd(rd(A,B),rd(unit,rd(rd(B,A),rd(A,B)))) -> rd(unit,rd(A,B))
% Current number of equations to process: 3245
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [254] rd(rd(unit,rd(A,B)),rd(unit,rd(B,A))) -> rd(unit,rd(rd(A,B),rd(B,A)))
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [255] mult(rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))),rd(unit,B)) -> A
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [256] rd(rd(rd(A,B),C),rd(rd(rd(unit,A),B),C)) -> rd(A,rd(unit,A))
% Current number of equations to process: 3845
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [257] mult(rd(rd(A,B),C),rd(C,rd(rd(unit,A),B))) -> rd(A,rd(unit,A))
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [258] rd(rd(rd(A,B),C),mult(A,rd(rd(rd(unit,A),B),C))) -> A
% Current number of equations to process: 3868
% Current number of ordered equations: 0
% Current number of rules: 137
% Rule [243]
% rd(unit,rd(rd(unit,B),A)) <-> rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))) is composed into 
% [243] rd(unit,rd(rd(unit,B),A)) <-> rd(A,rd(unit,B))
% Rule [236]
% rd(rd(unit,B),A) <-> rd(unit,rd(rd(A,B),rd(unit,rd(B,rd(unit,B))))) is composed into 
% [236] rd(rd(unit,B),A) <-> rd(unit,rd(A,rd(unit,B)))
% New rule produced :
% [259] rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))) -> rd(A,rd(unit,B))
% Rule
% [235] rd(unit,rd(rd(A,B),rd(unit,rd(B,rd(unit,B))))) <-> rd(rd(unit,B),A)
% collapsed.
% Rule
% [242] rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))) <-> rd(unit,rd(rd(unit,B),A))
% collapsed.
% Rule [255] mult(rd(rd(A,B),rd(unit,rd(B,rd(unit,B)))),rd(unit,B)) -> A
% collapsed.
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [260] mult(rd(A,rd(unit,B)),rd(rd(unit,B),A)) -> unit
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [261] mult(rd(rd(unit,A),B),rd(B,rd(unit,A))) -> unit
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [262] rd(unit,rd(C,rd(unit,rd(rd(unit,B),A)))) <-> rd(rd(A,rd(unit,B)),C)
% Current number of equations to process: 4155
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [263] rd(rd(A,rd(unit,B)),C) <-> rd(unit,rd(C,rd(unit,rd(rd(unit,B),A))))
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [264] rd(unit,rd(rd(A,rd(unit,B)),C)) <-> rd(C,rd(unit,rd(rd(unit,B),A)))
% Current number of equations to process: 4162
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [265] rd(C,rd(unit,rd(rd(unit,B),A))) <-> rd(unit,rd(rd(A,rd(unit,B)),C))
% Current number of equations to process: 4162
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [266] mult(rd(rd(unit,rd(A,rd(unit,A))),B),mult(B,A)) -> rd(unit,A)
% Current number of equations to process: 4292
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [267] rd(rd(A,B),rd(B,rd(unit,B))) -> rd(A,rd(B,rd(unit,rd(B,rd(unit,B)))))
% Rule
% [160]
% rd(rd(unit,A),rd(A,rd(unit,A))) -> rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))
% collapsed.
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [268] rd(rd(unit,rd(A,B)),rd(rd(B,A),rd(A,B))) -> rd(unit,rd(B,A))
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [269] rd(unit,mult(rd(A,B),rd(rd(B,A),rd(A,B)))) -> rd(A,B)
% Current number of equations to process: 4765
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [270] mult(rd(rd(A,B),rd(B,A)),rd(unit,rd(A,B))) -> rd(unit,rd(B,A))
% Current number of equations to process: 1645
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [271] mult(rd(A,B),rd(B,A)) -> unit
% Rule [199] mult(rd(rd(A,rd(unit,A)),B),rd(B,rd(A,rd(unit,A)))) -> unit
% collapsed.
% Rule [260] mult(rd(A,rd(unit,B)),rd(rd(unit,B),A)) -> unit collapsed.
% Rule [261] mult(rd(rd(unit,A),B),rd(B,rd(unit,A))) -> unit collapsed.
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [272] rd(unit,rd(A,rd(unit,rd(B,C)))) <-> rd(rd(C,B),A)
% Rule [225] rd(unit,rd(rd(B,A),rd(unit,rd(B,A)))) <-> rd(rd(A,B),rd(B,A))
% collapsed.
% Rule
% [262] rd(unit,rd(C,rd(unit,rd(rd(unit,B),A)))) <-> rd(rd(A,rd(unit,B)),C)
% collapsed.
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [273] rd(unit,rd(rd(A,B),C)) <-> rd(C,rd(unit,rd(B,A)))
% Rule
% [178]
% rd(unit,rd(rd(A,B),rd(C,rd(unit,C)))) <->
% rd(rd(C,rd(unit,C)),rd(unit,rd(B,A))) collapsed.
% Rule [233] rd(unit,rd(rd(A,B),rd(B,A))) <-> rd(rd(B,A),rd(unit,rd(B,A)))
% collapsed.
% Rule
% [264] rd(unit,rd(rd(A,rd(unit,B)),C)) <-> rd(C,rd(unit,rd(rd(unit,B),A)))
% collapsed.
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [274] mult(rd(A,rd(unit,rd(rd(unit,B),C))),rd(C,rd(unit,B))) -> A
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [275] mult(rd(A,B),rd(unit,rd(B,A))) -> rd(rd(A,B),rd(B,A))
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [276] mult(rd(A,B),rd(rd(B,A),rd(A,B))) -> rd(unit,rd(A,B))
% Rule [269] rd(unit,mult(rd(A,B),rd(rd(B,A),rd(A,B)))) -> rd(A,B) collapsed.
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [277] rd(rd(rd(A,B),C),rd(rd(unit,rd(B,A)),C)) -> unit
% Current number of equations to process: 3357
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [278] rd(rd(rd(unit,rd(A,B)),C),rd(rd(B,A),C)) -> unit
% Current number of equations to process: 3356
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [279] mult(rd(rd(A,B),C),rd(C,rd(unit,rd(B,A)))) -> unit
% Current number of equations to process: 3368
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [280] mult(rd(A,rd(unit,rd(B,C))),rd(rd(C,B),A)) -> unit
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [281] rd(rd(rd(unit,rd(C,B)),V_3),A) <-> rd(unit,rd(A,rd(rd(B,C),V_3)))
% Current number of equations to process: 3830
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [282] rd(unit,rd(A,rd(rd(B,C),V_3))) <-> rd(rd(rd(unit,rd(C,B)),V_3),A)
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [283] rd(rd(A,rd(B,C)),rd(A,rd(unit,rd(C,B)))) -> unit
% Current number of equations to process: 3829
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [284] rd(rd(A,rd(unit,rd(B,C))),rd(A,rd(C,B))) -> unit
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [285] rd(unit,rd(rd(unit,rd(B,C)),mult(A,rd(C,B)))) -> A
% Current number of equations to process: 3827
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [286] rd(rd(B,rd(V_3,C)),A) <-> rd(unit,rd(A,rd(B,rd(unit,rd(C,V_3)))))
% Current number of equations to process: 3826
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [287] rd(unit,rd(A,rd(B,rd(unit,rd(C,V_3))))) <-> rd(rd(B,rd(V_3,C)),A)
% Current number of equations to process: 3826
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [288] rd(rd(rd(A,B),C),rd(rd(B,A),C)) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 3829
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [289]
% rd(unit,rd(rd(rd(A,B),C),V_3)) <-> rd(V_3,rd(unit,rd(C,rd(unit,rd(B,A)))))
% Current number of equations to process: 3828
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [290]
% rd(V_3,rd(unit,rd(C,rd(unit,rd(B,A))))) <-> rd(unit,rd(rd(rd(A,B),C),V_3))
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [291]
% rd(unit,rd(V_3,rd(unit,rd(rd(C,B),A)))) <-> rd(rd(A,rd(unit,rd(B,C))),V_3)
% Current number of equations to process: 3823
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [292]
% rd(rd(A,rd(unit,rd(B,C))),V_3) <-> rd(unit,rd(V_3,rd(unit,rd(rd(C,B),A))))
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [293]
% rd(unit,rd(rd(A,rd(unit,rd(B,C))),V_3)) <-> rd(V_3,rd(unit,rd(rd(C,B),A)))
% Current number of equations to process: 3822
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [294]
% rd(V_3,rd(unit,rd(rd(C,B),A))) <-> rd(unit,rd(rd(A,rd(unit,rd(B,C))),V_3))
% Current number of equations to process: 3822
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [295] mult(rd(A,rd(unit,rd(B,C))),rd(C,B)) -> A
% Rule [274] mult(rd(A,rd(unit,rd(rd(unit,B),C))),rd(C,rd(unit,B))) -> A
% collapsed.
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [296] rd(unit,rd(rd(unit,C),rd(B,A))) <-> rd(rd(unit,rd(A,B)),rd(unit,C))
% Current number of equations to process: 4417
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [297] rd(rd(unit,rd(A,B)),rd(unit,C)) <-> rd(unit,rd(rd(unit,C),rd(B,A)))
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [298] rd(unit,rd(C,rd(B,A))) <-> rd(rd(unit,rd(A,B)),C)
% Rule
% [296] rd(unit,rd(rd(unit,C),rd(B,A))) <-> rd(rd(unit,rd(A,B)),rd(unit,C))
% collapsed.
% Current number of equations to process: 4463
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced : [299] rd(rd(unit,rd(A,B)),C) <-> rd(unit,rd(C,rd(B,A)))
% Rule
% [297] rd(rd(unit,rd(A,B)),rd(unit,C)) <-> rd(unit,rd(rd(unit,C),rd(B,A)))
% collapsed.
% Current number of equations to process: 4463
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [300] rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3)) <-> rd(V_3,rd(rd(B,A),C))
% Current number of equations to process: 4752
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [301] rd(V_3,rd(rd(B,A),C)) <-> rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3))
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [302] rd(rd(unit,rd(B,C)),mult(A,rd(C,B))) -> rd(unit,A)
% Rule [285] rd(unit,rd(rd(unit,rd(B,C)),mult(A,rd(C,B)))) -> A collapsed.
% Current number of equations to process: 1704
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [303] rd(A,rd(B,rd(C,V_3))) <-> rd(unit,rd(rd(B,rd(unit,rd(V_3,C))),A))
% Rule [241] rd(rd(rd(unit,A),B),rd(unit,rd(B,A))) -> rd(unit,rd(A,rd(unit,A)))
% collapsed.
% Current number of equations to process: 1964
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [304] rd(unit,rd(rd(B,rd(unit,rd(V_3,C))),A)) <-> rd(A,rd(B,rd(C,V_3)))
% Current number of equations to process: 1964
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [305] rd(unit,rd(V_3,rd(A,rd(C,B)))) <-> rd(rd(A,rd(unit,rd(B,C))),V_3)
% Current number of equations to process: 1981
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [306] rd(rd(A,rd(unit,rd(B,C))),V_3) <-> rd(unit,rd(V_3,rd(A,rd(C,B))))
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [307] rd(unit,rd(V_3,rd(rd(unit,rd(B,A)),C))) <-> rd(rd(rd(A,B),C),V_3)
% Current number of equations to process: 2026
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [308] rd(rd(rd(A,B),C),V_3) <-> rd(unit,rd(V_3,rd(rd(unit,rd(B,A)),C)))
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [309] rd(unit,rd(rd(A,rd(B,C)),V_3)) <-> rd(V_3,rd(A,rd(unit,rd(C,B))))
% Current number of equations to process: 2120
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [310] rd(V_3,rd(A,rd(unit,rd(C,B)))) <-> rd(unit,rd(rd(A,rd(B,C)),V_3))
% Current number of equations to process: 2120
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [311] rd(unit,rd(rd(unit,rd(A,B)),rd(unit,C))) <-> rd(rd(unit,C),rd(B,A))
% Current number of equations to process: 2274
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [312] rd(rd(unit,C),rd(B,A)) <-> rd(unit,rd(rd(unit,rd(A,B)),rd(unit,C)))
% Rule [215] rd(rd(unit,rd(A,rd(unit,B))),rd(B,A)) -> rd(unit,rd(B,rd(unit,B)))
% collapsed.
% Current number of equations to process: 2274
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [313] mult(rd(A,B),rd(unit,rd(rd(A,B),rd(B,A)))) -> rd(unit,rd(A,B))
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [314] rd(rd(rd(A,B),C),rd(unit,rd(C,rd(unit,rd(B,A))))) -> unit
% Current number of equations to process: 2354
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [315] rd(rd(unit,rd(A,rd(B,C))),rd(rd(unit,rd(C,B)),A)) -> unit
% Current number of equations to process: 2354
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [316] rd(rd(rd(unit,rd(A,B)),C),rd(unit,rd(C,rd(B,A)))) -> unit
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [317] rd(rd(unit,A),rd(rd(B,C),mult(A,rd(unit,rd(C,B))))) -> unit
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [318] rd(rd(unit,rd(A,rd(unit,rd(B,C)))),rd(rd(C,B),A)) -> unit
% Current number of equations to process: 2349
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [319] mult(rd(rd(A,B),C),rd(unit,rd(rd(unit,rd(B,A)),C))) -> unit
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [320] mult(rd(A,rd(unit,rd(B,C))),rd(unit,rd(A,rd(C,B)))) -> unit
% Current number of equations to process: 2340
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [321] rd(rd(A,rd(unit,rd(B,C))),rd(unit,rd(rd(C,B),A))) -> unit
% Current number of equations to process: 2339
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [322] mult(rd(A,rd(rd(B,C),V_3)),rd(rd(unit,rd(C,B)),V_3)) -> A
% Current number of equations to process: 2336
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [323]
% rd(rd(unit,rd(A,rd(unit,rd(B,C)))),V_3) <-> rd(unit,rd(V_3,rd(rd(C,B),A)))
% Current number of equations to process: 2334
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [324]
% rd(unit,rd(V_3,rd(rd(C,B),A))) <-> rd(rd(unit,rd(A,rd(unit,rd(B,C)))),V_3)
% Current number of equations to process: 2334
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [325]
% rd(rd(rd(unit,rd(V_3,C)),B),A) <-> rd(unit,rd(A,rd(unit,rd(B,rd(C,V_3)))))
% Current number of equations to process: 2327
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [326]
% rd(unit,rd(A,rd(unit,rd(B,rd(C,V_3))))) <-> rd(rd(rd(unit,rd(V_3,C)),B),A)
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [327]
% rd(unit,rd(rd(A,B),rd(C,V_3))) <-> rd(rd(unit,rd(V_3,C)),rd(unit,rd(B,A)))
% Current number of equations to process: 2311
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [328]
% rd(rd(unit,rd(V_3,C)),rd(unit,rd(B,A))) <-> rd(unit,rd(rd(A,B),rd(C,V_3)))
% Rule
% [254] rd(rd(unit,rd(A,B)),rd(unit,rd(B,A))) -> rd(unit,rd(rd(A,B),rd(B,A)))
% collapsed.
% Current number of equations to process: 2311
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [329] rd(rd(A,rd(B,C)),rd(unit,rd(rd(unit,rd(C,B)),A))) -> unit
% Current number of equations to process: 2309
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [330] rd(rd(unit,rd(rd(A,B),C)),rd(C,rd(unit,rd(B,A)))) -> unit
% Current number of equations to process: 2309
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [331] rd(rd(unit,rd(rd(unit,rd(A,B)),C)),rd(C,rd(B,A))) -> unit
% Current number of equations to process: 2304
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [332] mult(rd(A,rd(B,rd(unit,rd(C,V_3)))),rd(B,rd(V_3,C))) -> A
% Current number of equations to process: 2296
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [333]
% rd(unit,rd(V_3,rd(C,rd(unit,rd(B,A))))) <-> rd(rd(unit,rd(rd(A,B),C)),V_3)
% Current number of equations to process: 2295
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [334]
% rd(rd(unit,rd(rd(A,B),C)),V_3) <-> rd(unit,rd(V_3,rd(C,rd(unit,rd(B,A)))))
% Current number of equations to process: 2295
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [335] mult(rd(rd(A,B),C),rd(C,rd(B,A))) -> rd(rd(A,B),rd(unit,rd(A,B)))
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [336] rd(unit,rd(rd(unit,rd(A,B)),C)) <-> rd(C,rd(B,A))
% Rule
% [311] rd(unit,rd(rd(unit,rd(A,B)),rd(unit,C))) <-> rd(rd(unit,C),rd(B,A))
% collapsed.
% Current number of equations to process: 2470
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced : [337] rd(C,rd(B,A)) <-> rd(unit,rd(rd(unit,rd(A,B)),C))
% Rule [153] rd(rd(rd(A,rd(unit,A)),rd(B,C)),rd(C,B)) -> rd(A,rd(unit,A))
% collapsed.
% Rule
% [312] rd(rd(unit,C),rd(B,A)) <-> rd(unit,rd(rd(unit,rd(A,B)),rd(unit,C)))
% collapsed.
% Current number of equations to process: 2470
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [338]
% rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3)) <-> rd(V_3,rd(unit,rd(C,rd(B,A))))
% Current number of equations to process: 2479
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [339]
% rd(V_3,rd(unit,rd(C,rd(B,A)))) <-> rd(unit,rd(rd(rd(unit,rd(A,B)),C),V_3))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [340] rd(A,rd(rd(unit,rd(B,C)),V_3)) <-> rd(unit,rd(rd(rd(C,B),V_3),A))
% Current number of equations to process: 2873
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [341] rd(unit,rd(rd(rd(C,B),V_3),A)) <-> rd(A,rd(rd(unit,rd(B,C)),V_3))
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [342]
% rd(unit,rd(rd(A,rd(B,C)),V_3)) <-> rd(V_3,rd(unit,rd(rd(unit,rd(C,B)),A)))
% Current number of equations to process: 3732
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [343]
% rd(V_3,rd(unit,rd(rd(unit,rd(C,B)),A))) <-> rd(unit,rd(rd(A,rd(B,C)),V_3))
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [344] mult(rd(A,rd(B,C)),rd(unit,rd(C,B))) -> A
% Rule [270] mult(rd(rd(A,B),rd(B,A)),rd(unit,rd(A,B))) -> rd(unit,rd(B,A))
% collapsed.
% Current number of equations to process: 4386
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [345] mult(rd(rd(unit,rd(A,B)),C),rd(C,rd(B,A))) -> unit
% Current number of equations to process: 4928
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [346] mult(rd(A,rd(B,C)),rd(rd(unit,rd(C,B)),A)) -> unit
% Current number of equations to process: 4927
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [347] rd(rd(A,B),rd(unit,rd(C,V_3))) <-> rd(rd(unit,rd(B,A)),rd(V_3,C))
% Current number of equations to process: 4926
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [348] rd(rd(unit,rd(B,A)),rd(V_3,C)) <-> rd(rd(A,B),rd(unit,rd(C,V_3)))
% Current number of equations to process: 4926
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [349] rd(rd(A,B),mult(C,rd(unit,rd(B,A)))) -> rd(unit,C)
% Rule [317] rd(rd(unit,A),rd(rd(B,C),mult(A,rd(unit,rd(C,B))))) -> unit
% collapsed.
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [350]
% rd(unit,rd(rd(unit,rd(A,B)),rd(C,V_3))) <-> rd(rd(unit,rd(V_3,C)),rd(B,A))
% Current number of equations to process: 1581
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [351]
% rd(rd(unit,rd(V_3,C)),rd(B,A)) <-> rd(unit,rd(rd(unit,rd(A,B)),rd(C,V_3)))
% Current number of equations to process: 1581
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [352] mult(rd(A,rd(rd(unit,rd(B,C)),V_3)),rd(rd(C,B),V_3)) -> A
% Current number of equations to process: 1580
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [353]
% rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3))) <-> rd(rd(unit,rd(V_3,rd(C,B))),A)
% Current number of equations to process: 1579
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [354]
% rd(rd(unit,rd(V_3,rd(C,B))),A) <-> rd(unit,rd(A,rd(rd(unit,rd(B,C)),V_3)))
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [355] mult(rd(A,rd(B,rd(C,V_3))),rd(B,rd(unit,rd(V_3,C)))) -> A
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [356]
% rd(unit,rd(V_3,rd(C,rd(B,A)))) <-> rd(rd(unit,rd(rd(unit,rd(A,B)),C)),V_3)
% Current number of equations to process: 1569
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [357]
% rd(rd(unit,rd(rd(unit,rd(A,B)),C)),V_3) <-> rd(unit,rd(V_3,rd(C,rd(B,A))))
% Current number of equations to process: 1569
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [358] rd(rd(A,B),mult(C,rd(B,A))) -> rd(rd(rd(A,B),rd(unit,rd(A,B))),C)
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [359] mult(rd(A,rd(B,C)),rd(unit,rd(A,rd(unit,rd(C,B))))) -> unit
% Current number of equations to process: 1566
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [360]
% rd(rd(A,B),rd(unit,rd(C,V_3))) <-> rd(unit,rd(rd(V_3,C),rd(unit,rd(B,A))))
% Rule
% [248] rd(rd(A,B),rd(unit,rd(A,B))) <-> rd(unit,rd(rd(B,A),rd(unit,rd(B,A))))
% collapsed.
% Current number of equations to process: 1561
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [361]
% rd(unit,rd(rd(V_3,C),rd(unit,rd(B,A)))) <-> rd(rd(A,B),rd(unit,rd(C,V_3)))
% Rule
% [249] rd(unit,rd(rd(B,A),rd(unit,rd(B,A)))) <-> rd(rd(A,B),rd(unit,rd(A,B)))
% collapsed.
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [362]
% rd(unit,rd(rd(unit,rd(rd(A,B),C)),V_3)) <-> rd(V_3,rd(C,rd(unit,rd(B,A))))
% Current number of equations to process: 1513
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [363]
% rd(V_3,rd(C,rd(unit,rd(B,A)))) <-> rd(unit,rd(rd(unit,rd(rd(A,B),C)),V_3))
% Current number of equations to process: 1513
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [364]
% rd(unit,rd(rd(unit,rd(A,rd(B,C))),V_3)) <-> rd(V_3,rd(rd(unit,rd(C,B)),A))
% Current number of equations to process: 3577
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [365]
% rd(V_3,rd(rd(unit,rd(C,B)),A)) <-> rd(unit,rd(rd(unit,rd(A,rd(B,C))),V_3))
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [366] mult(rd(rd(unit,rd(A,B)),C),rd(unit,rd(rd(B,A),C))) -> unit
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [367]
% mult(A,rd(unit,rd(A,rd(unit,rd(A,rd(unit,A)))))) -> rd(unit,rd(A,rd(unit,A)))
% Current number of equations to process: 1845
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [368] rd(rd(mult(rd(A,B),A),C),mult(rd(A,B),rd(B,C))) -> rd(A,B)
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [369]
% mult(A,rd(unit,rd(rd(B,rd(unit,B)),A))) ->
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [370] mult(A,rd(A,rd(B,rd(unit,B)))) -> rd(rd(A,rd(unit,A)),rd(B,rd(unit,B)))
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [371] mult(rd(A,rd(unit,B)),rd(unit,rd(B,A))) -> rd(rd(A,rd(unit,B)),rd(B,A))
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [372] mult(rd(A,rd(unit,B)),rd(A,B)) -> rd(rd(A,rd(unit,B)),rd(B,A))
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [373] mult(rd(A,B),rd(unit,rd(rd(unit,B),A))) -> rd(rd(A,B),rd(rd(unit,B),A))
% Current number of equations to process: 2660
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [374] mult(rd(A,B),rd(A,rd(unit,B))) -> rd(rd(A,B),rd(rd(unit,B),A))
% Current number of equations to process: 2830
% Current number of ordered equations: 0
% Current number of rules: 226
% Rule [370]
% mult(A,rd(A,rd(B,rd(unit,B)))) -> rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) is composed into 
% [370] mult(A,rd(A,rd(B,rd(unit,B)))) -> rd(A,rd(unit,rd(A,rd(B,rd(unit,B)))))
% Rule [369]
% mult(A,rd(unit,rd(rd(B,rd(unit,B)),A))) ->
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) is composed into [369]
% mult(A,rd(unit,
% rd(
% rd(B,
% rd(unit,B)),A)))
% ->
% rd(A,rd(unit,
% rd(A,
% rd(B,
% rd(unit,B)))))
% Rule [192]
% mult(rd(rd(A,rd(unit,A)),B),rd(unit,B)) ->
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) is composed into [192]
% mult(rd(rd(A,
% rd(unit,A)),B),
% rd(unit,B)) ->
% rd(A,rd(unit,
% rd(A,
% rd(B,
% rd(unit,B)))))
% New rule produced :
% [375]
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) ->
% rd(A,rd(unit,rd(A,rd(B,rd(unit,B)))))
% Current number of equations to process: 3276
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [376] mult(rd(A,rd(unit,rd(A,rd(B,rd(unit,B))))),B) -> rd(rd(A,rd(unit,A)),B)
% Current number of equations to process: 3559
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [377]
% rd(A,rd(unit,rd(A,rd(B,rd(unit,B))))) <->
% rd(unit,rd(B,rd(rd(A,rd(unit,A)),B)))
% Current number of equations to process: 3692
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [378]
% rd(unit,rd(B,rd(rd(A,rd(unit,A)),B))) <->
% rd(A,rd(unit,rd(A,rd(B,rd(unit,B)))))
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [379] mult(rd(A,B),rd(rd(B,A),rd(C,rd(unit,C)))) -> rd(unit,rd(C,rd(unit,C)))
% Current number of equations to process: 4384
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [380]
% rd(B,rd(rd(C,rd(unit,C)),rd(unit,A))) <->
% rd(rd(unit,rd(A,B)),rd(C,rd(unit,C)))
% Current number of equations to process: 4572
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [381]
% rd(rd(unit,rd(A,B)),rd(C,rd(unit,C))) <->
% rd(B,rd(rd(C,rd(unit,C)),rd(unit,A)))
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [382]
% rd(unit,rd(rd(rd(A,rd(unit,A)),B),C)) <->
% rd(rd(C,rd(unit,B)),rd(A,rd(unit,A)))
% Current number of equations to process: 758
% Current number of ordered equations: 2
% Current number of rules: 234
% Rule [382]
% rd(unit,rd(rd(rd(A,rd(unit,A)),B),C)) <->
% rd(rd(C,rd(unit,B)),rd(A,rd(unit,A))) is composed into [382]
% rd(unit,rd(
% rd(
% rd(A,
% rd(unit,A)),B),C))
% <->
% rd(C,rd(unit,
% rd(B,
% rd(A,
% rd(unit,A)))))
% Rule [198]
% rd(A,rd(rd(B,rd(unit,B)),C)) <-> rd(rd(A,rd(unit,C)),rd(B,rd(unit,B))) is composed into 
% [198] rd(A,rd(rd(B,rd(unit,B)),C)) <-> rd(A,rd(unit,rd(C,rd(B,rd(unit,B)))))
% New rule produced :
% [383]
% rd(rd(A,rd(unit,B)),rd(C,rd(unit,C))) ->
% rd(A,rd(unit,rd(B,rd(C,rd(unit,C)))))
% Rule
% [197] rd(rd(A,rd(unit,C)),rd(B,rd(unit,B))) <-> rd(A,rd(rd(B,rd(unit,B)),C))
% collapsed.
% Rule [222] rd(rd(A,rd(unit,B)),rd(B,rd(unit,B))) -> rd(unit,rd(B,A))
% collapsed.
% Rule
% [375]
% rd(rd(A,rd(unit,A)),rd(B,rd(unit,B))) ->
% rd(A,rd(unit,rd(A,rd(B,rd(unit,B))))) collapsed.
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [384] rd(rd(unit,rd(A,rd(unit,A))),rd(B,rd(A,rd(unit,A)))) -> rd(unit,B)
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% CurreCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------