TSTP Solution File: KLE145-10 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : KLE145-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n184.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.5MB
% OS       : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 13:06:59 EST 2019

% Result   : Timeout 300.08s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : KLE145-10 : TPTP v7.3.0. Released v7.3.0.
% 0.02/0.04  % Command  : tptp2X_and_run_cime %s
% 0.04/0.26  % Computer : n184.star.cs.uiowa.edu
% 0.04/0.26  % Model    : x86_64 x86_64
% 0.04/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.04/0.26  % Memory   : 32218.5MB
% 0.04/0.26  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.04/0.26  % CPULimit : 300
% 0.04/0.26  % DateTime : Thu Feb 21 05:09:29 CST 2019
% 0.04/0.26  % CPUTime  : 
% 1.22/1.49  Processing problem /tmp/CiME_1239_n184.star.cs.uiowa.edu
% 1.22/1.49  #verbose 1;
% 1.22/1.49                let F = signature "  addition : AC; sK1_goals_X0,true,one,zero : constant;  strong_iteration : 1;  leq : 2;  star : 1;  multiplication : 2;  ifeq : 4;  ifeq2 : 4;  ifeq3 : 4;";
% 1.22/1.49  let X = vars "A B C";
% 1.22/1.49  let Axioms = equations F X "
% 1.22/1.49   multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C));
% 1.22/1.49   ifeq3(A,A,B,C) = B;
% 1.22/1.49   ifeq2(A,A,B,C) = B;
% 1.22/1.49   ifeq(A,A,B,C) = B;
% 1.22/1.49   A addition zero = A;
% 1.22/1.49   A addition A = A;
% 1.22/1.49   multiplication(A,one) = A;
% 1.22/1.49   multiplication(one,A) = A;
% 1.22/1.49   multiplication(A,B addition C) = multiplication(A,B) addition multiplication(A,C);
% 1.22/1.49   multiplication(A addition B,C) = multiplication(A,C) addition multiplication(B,C);
% 1.22/1.49   multiplication(zero,A) = zero;
% 1.22/1.49   one addition multiplication(A,star(A)) = star(A);
% 1.22/1.49   one addition multiplication(star(A),A) = star(A);
% 1.22/1.49   ifeq(leq(multiplication(A,C) addition B,C),true,leq(multiplication(star(A),B),C),true) = true;
% 1.22/1.49   ifeq(leq(multiplication(C,A) addition B,C),true,leq(multiplication(B,star(A)),C),true) = true;
% 1.22/1.49   strong_iteration(A) = multiplication(A,strong_iteration(A)) addition one;
% 1.22/1.49   ifeq(leq(C,multiplication(A,C) addition B),true,leq(C,multiplication(strong_iteration(A),B)),true) = true;
% 1.22/1.49   strong_iteration(A) = star(A) addition multiplication(strong_iteration(A),zero);
% 1.22/1.49   ifeq2(leq(A,B),true,A addition B,B) = B;
% 1.22/1.49   ifeq3(A addition B,B,leq(A,B),true) = true;
% 1.22/1.49  ";
% 1.22/1.49  
% 1.22/1.49  let s1 = status F "
% 1.22/1.49   sK1_goals_X0 lr_lex;
% 1.22/1.49   strong_iteration lr_lex;
% 1.22/1.49   true lr_lex;
% 1.22/1.49   leq lr_lex;
% 1.22/1.49   star lr_lex;
% 1.22/1.49   one lr_lex;
% 1.22/1.49   zero lr_lex;
% 1.22/1.49   ifeq lr_lex;
% 1.22/1.49   ifeq2 lr_lex;
% 1.22/1.49   ifeq3 lr_lex;
% 1.22/1.49   multiplication mul;
% 1.22/1.49   addition mul;
% 1.22/1.49  ";
% 1.22/1.49  
% 1.22/1.49  let p1 = precedence F "
% 1.22/1.49  ifeq3 > ifeq2 > ifeq > multiplication > leq > star > strong_iteration > addition > zero > one > true > sK1_goals_X0";
% 1.22/1.49  
% 1.22/1.49  let s2 = status F "
% 1.22/1.49  sK1_goals_X0 mul;
% 1.22/1.49  strong_iteration mul;
% 1.22/1.49  true mul;
% 1.22/1.49  leq mul;
% 1.22/1.49  star mul;
% 1.22/1.49  one mul;
% 1.22/1.49  multiplication mul;
% 1.22/1.49  zero mul;
% 1.22/1.49  addition mul;
% 1.22/1.49  ifeq mul;
% 1.22/1.49  ifeq2 mul;
% 1.22/1.49  ifeq3 mul;
% 1.22/1.49  ";
% 1.22/1.49  
% 1.22/1.49  let p2 = precedence F "
% 1.22/1.49  ifeq3 > ifeq2 > ifeq > multiplication > leq > star > strong_iteration > addition > zero = one = true = sK1_goals_X0";
% 1.22/1.49  
% 1.22/1.49  let o_auto = AUTO Axioms;
% 1.22/1.49  
% 1.22/1.49  let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.22/1.49  
% 1.22/1.49  let Conjectures = equations F X " star(strong_iteration(sK1_goals_X0)) = strong_iteration(sK1_goals_X0);"
% 1.22/1.49  ;
% 1.22/1.49  (*
% 1.22/1.49  let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.22/1.49  
% 1.22/1.49  let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% 1.22/1.49  *)
% 1.22/1.49  #time on;
% 1.22/1.49  
% 1.22/1.49  let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.22/1.49  
% 1.22/1.49  #time off;
% 1.22/1.49  
% 1.22/1.49  
% 1.22/1.49  let status = if res then "unsatisfiable" else "satisfiable";
% 1.22/1.49  #quit;
% 1.22/1.49  Verbose level is now 1
% 1.22/1.49  
% 1.22/1.49  F : signature = <signature>
% 1.22/1.49  X : variable_set = <variable set>
% 1.22/1.49  
% 1.22/1.49  Axioms : (F,X) equations = { multiplication(multiplication(A,B),C) =
% 1.22/1.49                               multiplication(A,multiplication(B,C)),
% 1.22/1.49                               ifeq3(A,A,B,C) = B,
% 1.22/1.49                               ifeq2(A,A,B,C) = B,
% 1.22/1.49                               ifeq(A,A,B,C) = B,
% 1.22/1.49                               zero addition A = A,
% 1.22/1.49                               A addition A = A,
% 1.22/1.49                               multiplication(A,one) = A,
% 1.22/1.49                               multiplication(one,A) = A,
% 1.22/1.49                               multiplication(A,B addition C) =
% 1.22/1.49                               multiplication(A,B) addition multiplication(A,C),
% 1.22/1.49                               multiplication(A addition B,C) =
% 1.22/1.49                               multiplication(A,C) addition multiplication(B,C),
% 1.22/1.49                               multiplication(zero,A) = zero,
% 1.22/1.49                               one addition multiplication(A,star(A)) = star(A),
% 1.22/1.49                               one addition multiplication(star(A),A) = star(A),
% 1.22/1.49                               ifeq(leq(multiplication(A,C) addition B,C),true,
% 1.22/1.49                               leq(multiplication(star(A),B),C),true) = true,
% 1.22/1.49                               ifeq(leq(multiplication(C,A) addition B,C),true,
% 1.22/1.49                               leq(multiplication(B,star(A)),C),true) = true,
% 1.22/1.49                               strong_iteration(A) =
% 1.22/1.49                               one addition multiplication(A,strong_iteration(A)),
% 1.22/1.49                               ifeq(leq(C,multiplication(A,C) addition B),true,
% 1.23/1.50                               leq(C,multiplication(strong_iteration(A),B)),true)
% 1.23/1.50                               = true,
% 1.23/1.50                               strong_iteration(A) =
% 1.23/1.50                               star(A) addition multiplication(strong_iteration(A),zero),
% 1.23/1.50                               ifeq2(leq(A,B),true,A addition B,B) = B,
% 1.23/1.50                               ifeq3(A addition B,B,leq(A,B),true) = true }
% 1.23/1.50                               (20 equation(s))
% 1.23/1.50  s1 : F status = <status>
% 1.23/1.50  p1 : F precedence = <precedence>
% 1.23/1.50  s2 : F status = <status>
% 1.23/1.50  p2 : F precedence = <precedence>
% 1.23/1.50  o_auto : F term_ordering = <term ordering>
% 1.23/1.50  o : F term_ordering = <term ordering>
% 1.23/1.50  Conjectures : (F,X) equations = { star(strong_iteration(sK1_goals_X0)) =
% 1.23/1.50                                    strong_iteration(sK1_goals_X0) }
% 1.23/1.50                                    (1 equation(s))
% 1.23/1.50  time is now on
% 1.23/1.50  
% 1.23/1.50  Initializing completion ...
% 1.23/1.50  New rule produced : [1] A addition A -> A
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 20
% 1.23/1.50  Current number of rules: 1
% 1.23/1.50  New rule produced : [2] zero addition A -> A
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 19
% 1.23/1.50  Current number of rules: 2
% 1.23/1.50  New rule produced : [3] multiplication(A,one) -> A
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 18
% 1.23/1.50  Current number of rules: 3
% 1.23/1.50  New rule produced : [4] multiplication(zero,A) -> zero
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 17
% 1.23/1.50  Current number of rules: 4
% 1.23/1.50  New rule produced : [5] multiplication(one,A) -> A
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 16
% 1.23/1.50  Current number of rules: 5
% 1.23/1.50  New rule produced : [6] ifeq(A,A,B,C) -> B
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 15
% 1.23/1.50  Current number of rules: 6
% 1.23/1.50  New rule produced : [7] ifeq2(A,A,B,C) -> B
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 14
% 1.23/1.50  Current number of rules: 7
% 1.23/1.50  New rule produced : [8] ifeq3(A,A,B,C) -> B
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 13
% 1.23/1.50  Current number of rules: 8
% 1.23/1.50  New rule produced : [9] one addition multiplication(A,star(A)) -> star(A)
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 12
% 1.23/1.50  Current number of rules: 9
% 1.23/1.50  New rule produced : [10] one addition multiplication(star(A),A) -> star(A)
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 11
% 1.23/1.50  Current number of rules: 10
% 1.23/1.50  New rule produced :
% 1.23/1.50  [11]
% 1.23/1.50  one addition multiplication(A,strong_iteration(A)) -> strong_iteration(A)
% 1.23/1.50  Current number of equations to process: 0
% 1.23/1.50  Current number of ordered equations: 10
% 1.23/1.50  Current number of rules: 11
% 1.23/1.50  New rule produced :
% 1.23/1.50  [12]
% 1.23/1.50  multiplication(A,multiplication(B,C)) <->
% 1.23/1.50  multiplication(multiplication(A,B),C)
% 1.23/1.50  Current number of equations to process: 24
% 1.23/1.50  Current number of ordered equations: 19
% 1.23/1.50  Current number of rules: 12
% 1.23/1.50  New rule produced :
% 1.23/1.50  [13]
% 1.23/1.50  multiplication(multiplication(A,B),C) <->
% 1.23/1.50  multiplication(A,multiplication(B,C))
% 1.23/1.50  Current number of equations to process: 24
% 1.23/1.50  Current number of ordered equations: 18
% 1.23/1.50  Current number of rules: 13
% 1.23/1.50  New rule produced :
% 1.23/1.50  [14]
% 1.23/1.50  star(A) addition multiplication(strong_iteration(A),zero) ->
% 1.23/1.50  strong_iteration(A)
% 1.23/1.50  Current number of equations to process: 24
% 1.23/1.50  Current number of ordered equations: 17
% 1.23/1.50  Current number of rules: 14
% 1.23/1.50  New rule produced : [15] ifeq3(A addition B,B,leq(A,B),true) -> true
% 1.23/1.50  Current number of equations to process: 24
% 1.23/1.50  Current number of ordered equations: 16
% 1.23/1.50  Current number of rules: 15
% 1.23/1.50  New rule produced :
% 1.23/1.50  [16]
% 1.23/1.50  multiplication(A,B addition C) ->
% 1.23/1.50  multiplication(A,B) addition multiplication(A,C)
% 1.23/1.50  Current number of equations to process: 24
% 1.23/1.50  Current number of ordered equations: 15
% 1.23/1.50  Current number of rules: 16
% 1.23/1.50  New rule produced :
% 1.23/1.50  [17]
% 1.23/1.50  multiplication(A addition B,C) ->
% 1.23/1.50  multiplication(A,C) addition multiplication(B,C)
% 1.23/1.50  Current number of equations to process: 24
% 1.23/1.50  Current number of ordered equations: 14
% 1.23/1.50  Current number of rules: 17
% 1.23/1.50  New rule produced : [18] ifeq2(leq(A,B),true,A addition B,B) -> B
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 13
% 1.23/1.55  Current number of rules: 18
% 1.23/1.55  New rule produced :
% 1.23/1.55  [19]
% 1.23/1.55  ifeq(leq(multiplication(A,C) addition B,C),true,leq(multiplication(star(A),B),C),true)
% 1.23/1.55  -> true
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 12
% 1.23/1.55  Current number of rules: 19
% 1.23/1.55  New rule produced :
% 1.23/1.55  [20]
% 1.23/1.55  ifeq(leq(multiplication(C,A) addition B,C),true,leq(multiplication(B,star(A)),C),true)
% 1.23/1.55  -> true
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 11
% 1.23/1.55  Current number of rules: 20
% 1.23/1.55  New rule produced :
% 1.23/1.55  [21]
% 1.23/1.55  ifeq(leq(C,multiplication(A,C) addition B),true,leq(C,multiplication(
% 1.23/1.55                                                        strong_iteration(A),B)),true)
% 1.23/1.55  -> true
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 10
% 1.23/1.55  Current number of rules: 21
% 1.23/1.55  New rule produced : [22] star(zero) -> one
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 8
% 1.23/1.55  Current number of rules: 22
% 1.23/1.55  New rule produced : [23] strong_iteration(zero) -> one
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 6
% 1.23/1.55  Current number of rules: 23
% 1.23/1.55  New rule produced : [24] one addition star(A) -> star(A)
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 2
% 1.23/1.55  Current number of rules: 24
% 1.23/1.55  New rule produced :
% 1.23/1.55  [25] one addition strong_iteration(A) -> strong_iteration(A)
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 25
% 1.23/1.55  New rule produced :
% 1.23/1.55  [26] multiplication(multiplication(A,zero),B) -> multiplication(A,zero)
% 1.23/1.55  Current number of equations to process: 25
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 26
% 1.23/1.55  New rule produced :
% 1.23/1.55  [27] strong_iteration(A) addition star(A) -> strong_iteration(A)
% 1.23/1.55  Current number of equations to process: 32
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 27
% 1.23/1.55  New rule produced :
% 1.23/1.55  [28] star(A) addition multiplication(A,star(A)) -> star(A)
% 1.23/1.55  Current number of equations to process: 30
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 28
% 1.23/1.55  New rule produced :
% 1.23/1.55  [29] star(A) addition multiplication(star(A),A) -> star(A)
% 1.23/1.55  Current number of equations to process: 27
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 29
% 1.23/1.55  New rule produced :
% 1.23/1.55  [30]
% 1.23/1.55  strong_iteration(A) addition multiplication(A,strong_iteration(A)) ->
% 1.23/1.55  strong_iteration(A)
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 30
% 1.23/1.55  New rule produced :
% 1.23/1.55  [31]
% 1.23/1.55  strong_iteration(A) addition multiplication(strong_iteration(A),zero) ->
% 1.23/1.55  strong_iteration(A)
% 1.23/1.55  Current number of equations to process: 22
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 31
% 1.23/1.55  New rule produced : [32] leq(A,A) -> true
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 32
% 1.23/1.55  New rule produced : [33] leq(A,A addition B) -> true
% 1.23/1.55  Current number of equations to process: 23
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 33
% 1.23/1.55  New rule produced : [34] leq(zero,A) -> true
% 1.23/1.55  Current number of equations to process: 24
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 34
% 1.23/1.55  New rule produced : [35] ifeq3(A,zero,leq(A,zero),true) -> true
% 1.23/1.55  Current number of equations to process: 23
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 35
% 1.23/1.55  New rule produced :
% 1.23/1.55  [36]
% 1.23/1.55  multiplication(A,zero) addition multiplication(A,B) -> multiplication(A,B)
% 1.23/1.55  Current number of equations to process: 68
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 36
% 1.23/1.55  New rule produced : [37] ifeq2(leq(A,zero),true,A,zero) -> zero
% 1.23/1.55  Current number of equations to process: 90
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 37
% 1.23/1.55  New rule produced :
% 1.23/1.55  [38]
% 1.23/1.55  multiplication(A,multiplication(B,star(B))) addition A ->
% 1.23/1.55  multiplication(A,star(B))
% 1.23/1.55  Current number of equations to process: 121
% 1.23/1.55  Current number of ordered equations: 0
% 1.23/1.55  Current number of rules: 38
% 1.23/1.55  New rule produced :
% 1.23/1.55  [39]
% 1.23/1.55  multiplication(A,multiplication(star(B),B)) addition A ->
% 1.23/1.56  multiplication(A,star(B))
% 1.23/1.56  Current number of equations to process: 120
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 39
% 1.23/1.56  New rule produced :
% 1.23/1.56  [40]
% 1.23/1.56  multiplication(A,multiplication(B,strong_iteration(B))) addition A ->
% 1.23/1.56  multiplication(A,strong_iteration(B))
% 1.23/1.56  Current number of equations to process: 119
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 40
% 1.23/1.56  New rule produced :
% 1.23/1.56  [41]
% 1.23/1.56  multiplication(multiplication(A,star(A)),B) addition B ->
% 1.23/1.56  multiplication(star(A),B)
% 1.23/1.56  Current number of equations to process: 118
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 41
% 1.23/1.56  New rule produced :
% 1.23/1.56  [42]
% 1.23/1.56  multiplication(multiplication(star(A),A),B) addition B ->
% 1.23/1.56  multiplication(star(A),B)
% 1.23/1.56  Current number of equations to process: 117
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 42
% 1.23/1.56  New rule produced :
% 1.23/1.56  [43]
% 1.23/1.56  multiplication(multiplication(A,strong_iteration(A)),B) addition B ->
% 1.23/1.56  multiplication(strong_iteration(A),B)
% 1.23/1.56  Current number of equations to process: 116
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 43
% 1.23/1.56  New rule produced :
% 1.23/1.56  [44]
% 1.23/1.56  star(A) addition multiplication(B,star(B)) <->
% 1.23/1.56  star(B) addition multiplication(A,star(A))
% 1.23/1.56  Current number of equations to process: 115
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 44
% 1.23/1.56  New rule produced :
% 1.23/1.56  [45]
% 1.23/1.56  star(A) addition multiplication(star(B),B) <->
% 1.23/1.56  star(B) addition multiplication(star(A),A)
% 1.23/1.56  Current number of equations to process: 114
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 45
% 1.23/1.56  New rule produced :
% 1.23/1.56  [46]
% 1.23/1.56  star(A) addition multiplication(star(B),B) <->
% 1.23/1.56  star(B) addition multiplication(A,star(A))
% 1.23/1.56  Current number of equations to process: 113
% 1.23/1.56  Current number of ordered equations: 1
% 1.23/1.56  Current number of rules: 46
% 1.23/1.56  New rule produced :
% 1.23/1.56  [47]
% 1.23/1.56  star(B) addition multiplication(A,star(A)) <->
% 1.23/1.56  star(A) addition multiplication(star(B),B)
% 1.23/1.56  Current number of equations to process: 113
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 47
% 1.23/1.56  New rule produced :
% 1.23/1.56  [48]
% 1.23/1.56  strong_iteration(A) addition multiplication(B,strong_iteration(B)) <->
% 1.23/1.56  strong_iteration(B) addition multiplication(A,strong_iteration(A))
% 1.23/1.56  Current number of equations to process: 112
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 48
% 1.23/1.56  New rule produced :
% 1.23/1.56  [49]
% 1.23/1.56  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.23/1.56  strong_iteration(B) addition multiplication(A,star(A))
% 1.23/1.56  Current number of equations to process: 111
% 1.23/1.56  Current number of ordered equations: 1
% 1.23/1.56  Current number of rules: 49
% 1.23/1.56  New rule produced :
% 1.23/1.56  [50]
% 1.23/1.56  strong_iteration(B) addition multiplication(A,star(A)) <->
% 1.23/1.56  star(A) addition multiplication(B,strong_iteration(B))
% 1.23/1.56  Current number of equations to process: 111
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 50
% 1.23/1.56  New rule produced :
% 1.23/1.56  [51]
% 1.23/1.56  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.23/1.56  strong_iteration(B) addition multiplication(star(A),A)
% 1.23/1.56  Current number of equations to process: 110
% 1.23/1.56  Current number of ordered equations: 1
% 1.23/1.56  Current number of rules: 51
% 1.23/1.56  New rule produced :
% 1.23/1.56  [52]
% 1.23/1.56  strong_iteration(B) addition multiplication(star(A),A) <->
% 1.23/1.56  star(A) addition multiplication(B,strong_iteration(B))
% 1.23/1.56  Current number of equations to process: 110
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 52
% 1.23/1.56  New rule produced :
% 1.23/1.56  [53]
% 1.23/1.56  multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 1.23/1.56  multiplication(multiplication(A,B),multiplication(C,V_3))
% 1.23/1.56  Current number of equations to process: 109
% 1.23/1.56  Current number of ordered equations: 1
% 1.23/1.56  Current number of rules: 53
% 1.23/1.56  New rule produced :
% 1.23/1.56  [54]
% 1.23/1.56  multiplication(multiplication(A,B),multiplication(C,V_3)) <->
% 1.23/1.56  multiplication(A,multiplication(multiplication(B,C),V_3))
% 1.23/1.56  Current number of equations to process: 109
% 1.23/1.56  Current number of ordered equations: 0
% 1.23/1.56  Current number of rules: 54
% 1.23/1.56  New rule produced :
% 1.23/1.56  [55]
% 1.23/1.56  multiplication(multiplication(A,multiplication(B,C)),V_3) <->
% 1.23/1.56  multiplication(multiplication(A,B),multiplication(C,V_3))
% 1.23/1.56  Current number of equations to process: 108
% 1.23/1.56  Current number of ordered equations: 1
% 1.23/1.56  Current number of rules: 55
% 1.23/1.56  New rule produced :
% 1.23/1.56  [56]
% 1.23/1.56  multiplication(multiplication(A,B),multiplication(C,V_3)) <->
% 1.23/1.58  multiplication(multiplication(A,multiplication(B,C)),V_3)
% 1.23/1.58  Current number of equations to process: 108
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 56
% 1.23/1.58  New rule produced :
% 1.23/1.58  [57]
% 1.23/1.58  multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 1.23/1.58  multiplication(multiplication(multiplication(A,B),C),V_3)
% 1.23/1.58  Current number of equations to process: 105
% 1.23/1.58  Current number of ordered equations: 5
% 1.23/1.58  Current number of rules: 57
% 1.23/1.58  New rule produced :
% 1.23/1.58  [58]
% 1.23/1.58  multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 1.23/1.58  multiplication(multiplication(A,multiplication(B,C)),V_3)
% 1.23/1.58  Current number of equations to process: 105
% 1.23/1.58  Current number of ordered equations: 4
% 1.23/1.58  Current number of rules: 58
% 1.23/1.58  New rule produced :
% 1.23/1.58  [59]
% 1.23/1.58  multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 1.23/1.58  multiplication(multiplication(multiplication(A,B),C),V_3)
% 1.23/1.58  Current number of equations to process: 105
% 1.23/1.58  Current number of ordered equations: 3
% 1.23/1.58  Current number of rules: 59
% 1.23/1.58  New rule produced :
% 1.23/1.58  [60]
% 1.23/1.58  multiplication(multiplication(A,multiplication(B,C)),V_3) <->
% 1.23/1.58  multiplication(A,multiplication(B,multiplication(C,V_3)))
% 1.23/1.58  Current number of equations to process: 105
% 1.23/1.58  Current number of ordered equations: 2
% 1.23/1.58  Current number of rules: 60
% 1.23/1.58  New rule produced :
% 1.23/1.58  [61]
% 1.23/1.58  multiplication(multiplication(multiplication(A,B),C),V_3) <->
% 1.23/1.58  multiplication(A,multiplication(multiplication(B,C),V_3))
% 1.23/1.58  Current number of equations to process: 105
% 1.23/1.58  Current number of ordered equations: 1
% 1.23/1.58  Current number of rules: 61
% 1.23/1.58  New rule produced :
% 1.23/1.58  [62]
% 1.23/1.58  multiplication(multiplication(multiplication(A,B),C),V_3) <->
% 1.23/1.58  multiplication(A,multiplication(B,multiplication(C,V_3)))
% 1.23/1.58  Current number of equations to process: 105
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 62
% 1.23/1.58  New rule produced :
% 1.23/1.58  [63]
% 1.23/1.58  multiplication(strong_iteration(A),zero) addition multiplication(star(A),B)
% 1.23/1.58  -> multiplication(strong_iteration(A),B)
% 1.23/1.58  Current number of equations to process: 100
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 63
% 1.23/1.58  New rule produced :
% 1.23/1.58  [64] ifeq3(A addition B,A,leq(A addition B,A),true) -> true
% 1.23/1.58  Current number of equations to process: 99
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 64
% 1.23/1.58  New rule produced :
% 1.23/1.58  [65] ifeq3(star(A),one,leq(multiplication(A,star(A)),one),true) -> true
% 1.23/1.58  Current number of equations to process: 98
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 65
% 1.23/1.58  New rule produced :
% 1.23/1.58  [66] ifeq3(star(A),one,leq(multiplication(star(A),A),one),true) -> true
% 1.23/1.58  Current number of equations to process: 97
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 66
% 1.23/1.58  New rule produced :
% 1.23/1.58  [67]
% 1.23/1.58  ifeq3(strong_iteration(A),one,leq(multiplication(A,strong_iteration(A)),one),true)
% 1.23/1.58  -> true
% 1.23/1.58  Current number of equations to process: 96
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 67
% 1.23/1.58  New rule produced : [68] ifeq2(leq(A addition B,A),true,A addition B,A) -> A
% 1.23/1.58  Current number of equations to process: 95
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 68
% 1.23/1.58  New rule produced :
% 1.23/1.58  [69] ifeq2(leq(multiplication(A,star(A)),one),true,star(A),one) -> one
% 1.23/1.58  Current number of equations to process: 94
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 69
% 1.23/1.58  New rule produced :
% 1.23/1.58  [70] ifeq2(leq(multiplication(star(A),A),one),true,star(A),one) -> one
% 1.23/1.58  Current number of equations to process: 93
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 70
% 1.23/1.58  New rule produced :
% 1.23/1.58  [71]
% 1.23/1.58  ifeq2(leq(multiplication(A,strong_iteration(A)),one),true,strong_iteration(A),one)
% 1.23/1.58  -> one
% 1.23/1.58  Current number of equations to process: 92
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 71
% 1.23/1.58  New rule produced :
% 1.23/1.58  [72]
% 1.23/1.58  multiplication(A,star(B)) addition multiplication(A,multiplication(strong_iteration(B),zero))
% 1.23/1.58  -> multiplication(A,strong_iteration(B))
% 1.23/1.58  Current number of equations to process: 91
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.58  Current number of rules: 72
% 1.23/1.58  New rule produced :
% 1.23/1.58  [73]
% 1.23/1.58  ifeq3(strong_iteration(A),star(A),leq(multiplication(strong_iteration(A),zero),
% 1.23/1.58                                    star(A)),true) -> true
% 1.23/1.58  Current number of equations to process: 84
% 1.23/1.58  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 73
% 1.23/1.60  New rule produced :
% 1.23/1.60  [74]
% 1.23/1.60  ifeq2(leq(multiplication(strong_iteration(A),zero),star(A)),true,strong_iteration(A),
% 1.23/1.60  star(A)) -> star(A)
% 1.23/1.60  Current number of equations to process: 83
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 74
% 1.23/1.60  New rule produced :
% 1.23/1.60  [75]
% 1.23/1.60  ifeq3(star(A),multiplication(A,star(A)),leq(one,multiplication(A,star(A))),true)
% 1.23/1.60  -> true
% 1.23/1.60  Current number of equations to process: 82
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 75
% 1.23/1.60  New rule produced :
% 1.23/1.60  [76]
% 1.23/1.60  ifeq3(star(A),multiplication(star(A),A),leq(one,multiplication(star(A),A)),true)
% 1.23/1.60  -> true
% 1.23/1.60  Current number of equations to process: 81
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 76
% 1.23/1.60  New rule produced :
% 1.23/1.60  [77]
% 1.23/1.60  ifeq3(strong_iteration(A),multiplication(A,strong_iteration(A)),leq(one,
% 1.23/1.60                                                                  multiplication(A,
% 1.23/1.60                                                                  strong_iteration(A))),true)
% 1.23/1.60  -> true
% 1.23/1.60  Current number of equations to process: 80
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 77
% 1.23/1.60  New rule produced :
% 1.23/1.60  [78]
% 1.23/1.60  ifeq3(star(A) addition B,one,leq(multiplication(A,star(A)) addition B,one),true)
% 1.23/1.60  -> true
% 1.23/1.60  Current number of equations to process: 79
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 78
% 1.23/1.60  New rule produced :
% 1.23/1.60  [79]
% 1.23/1.60  ifeq3(star(A) addition B,one,leq(multiplication(star(A),A) addition B,one),true)
% 1.23/1.60  -> true
% 1.23/1.60  Current number of equations to process: 78
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 79
% 1.23/1.60  New rule produced :
% 1.23/1.60  [80]
% 1.23/1.60  ifeq3(strong_iteration(A) addition B,one,leq(multiplication(A,strong_iteration(A)) addition B,one),true)
% 1.23/1.60  -> true
% 1.23/1.60  Current number of equations to process: 77
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 80
% 1.23/1.60  New rule produced :
% 1.23/1.60  [81]
% 1.23/1.60  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),zero),leq(
% 1.23/1.60                                                                     star(A),
% 1.23/1.60                                                                     multiplication(
% 1.23/1.60                                                                     strong_iteration(A),zero)),true)
% 1.23/1.60  -> true
% 1.23/1.60  Current number of equations to process: 76
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 81
% 1.23/1.60  New rule produced :
% 1.23/1.60  [82]
% 1.23/1.60  ifeq2(leq(multiplication(A,star(A)) addition B,one),true,star(A) addition B,one)
% 1.23/1.60  -> one
% 1.23/1.60  Current number of equations to process: 75
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 82
% 1.23/1.60  New rule produced :
% 1.23/1.60  [83]
% 1.23/1.60  ifeq2(leq(multiplication(star(A),A) addition B,one),true,star(A) addition B,one)
% 1.23/1.60  -> one
% 1.23/1.60  Current number of equations to process: 74
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 83
% 1.23/1.60  New rule produced :
% 1.23/1.60  [84]
% 1.23/1.60  ifeq2(leq(multiplication(A,strong_iteration(A)) addition B,one),true,
% 1.23/1.60  strong_iteration(A) addition B,one) -> one
% 1.23/1.60  Current number of equations to process: 73
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 84
% 1.23/1.60  New rule produced :
% 1.23/1.60  [85]
% 1.23/1.60  ifeq2(leq(one,multiplication(A,star(A))),true,star(A),multiplication(A,
% 1.23/1.60                                                        star(A))) ->
% 1.23/1.60  multiplication(A,star(A))
% 1.23/1.60  Current number of equations to process: 66
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 85
% 1.23/1.60  New rule produced :
% 1.23/1.60  [86]
% 1.23/1.60  ifeq2(leq(one,multiplication(star(A),A)),true,star(A),multiplication(
% 1.23/1.60                                                        star(A),A)) ->
% 1.23/1.60  multiplication(star(A),A)
% 1.23/1.60  Current number of equations to process: 65
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 86
% 1.23/1.60  New rule produced :
% 1.23/1.60  [87]
% 1.23/1.60  ifeq2(leq(one,multiplication(A,strong_iteration(A))),true,strong_iteration(A),
% 1.23/1.60  multiplication(A,strong_iteration(A))) ->
% 1.23/1.60  multiplication(A,strong_iteration(A))
% 1.23/1.60  Current number of equations to process: 64
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 87
% 1.23/1.60  New rule produced : [88] ifeq(leq(A,B),true,leq(A,B),true) -> true
% 1.23/1.60  Current number of equations to process: 69
% 1.23/1.60  Current number of ordered equations: 0
% 1.23/1.60  Current number of rules: 88
% 1.23/1.60  New rule produced :
% 1.23/1.60  [89]
% 1.35/1.66  ifeq(leq(multiplication(A,B),B),true,leq(multiplication(star(A),zero),B),true)
% 1.35/1.66  -> true
% 1.35/1.66  Current number of equations to process: 80
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 89
% 1.35/1.66  New rule produced :
% 1.35/1.66  [90]
% 1.35/1.66  ifeq(leq(one addition multiplication(A,B),B),true,leq(star(A),B),true) ->
% 1.35/1.66  true
% 1.35/1.66  Current number of equations to process: 78
% 1.35/1.66  Current number of ordered equations: 1
% 1.35/1.66  Current number of rules: 90
% 1.35/1.66  New rule produced :
% 1.35/1.66  [91]
% 1.35/1.66  ifeq(leq(A addition B,one),true,leq(multiplication(star(A),B),one),true) ->
% 1.35/1.66  true
% 1.35/1.66  Current number of equations to process: 78
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 91
% 1.35/1.66  New rule produced :
% 1.35/1.66  [92]
% 1.35/1.66  ifeq(leq(A addition B,A),true,leq(multiplication(star(one),B),A),true) ->
% 1.35/1.66  true
% 1.35/1.66  Current number of equations to process: 77
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 92
% 1.35/1.66  New rule produced :
% 1.35/1.66  [93]
% 1.35/1.66  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(strong_iteration(A)),
% 1.35/1.66                                              star(A)),zero),true) -> true
% 1.35/1.66  Current number of equations to process: 76
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 93
% 1.35/1.66  New rule produced :
% 1.35/1.66  [94] ifeq(leq(multiplication(A,B),A),true,true,true) -> true
% 1.35/1.66  Current number of equations to process: 78
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 94
% 1.35/1.66  New rule produced : [95] leq(star(A),strong_iteration(A)) -> true
% 1.35/1.66  Current number of equations to process: 89
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 95
% 1.35/1.66  New rule produced :
% 1.35/1.66  [96] ifeq(leq(A,zero),true,leq(multiplication(A,star(B)),zero),true) -> true
% 1.35/1.66  Current number of equations to process: 88
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 96
% 1.35/1.66  New rule produced :
% 1.35/1.66  [97]
% 1.35/1.66  ifeq(leq(A addition B,A),true,leq(multiplication(B,star(one)),A),true) ->
% 1.35/1.66  true
% 1.35/1.66  Current number of equations to process: 90
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 97
% 1.35/1.66  New rule produced :
% 1.35/1.66  [98]
% 1.35/1.66  ifeq(leq(A addition B,one),true,leq(multiplication(B,star(A)),one),true) ->
% 1.35/1.66  true
% 1.35/1.66  Current number of equations to process: 88
% 1.35/1.66  Current number of ordered equations: 1
% 1.35/1.66  Current number of rules: 98
% 1.35/1.66  New rule produced :
% 1.35/1.66  [99]
% 1.35/1.66  ifeq(leq(one addition multiplication(A,B),A),true,leq(star(B),A),true) ->
% 1.35/1.66  true
% 1.35/1.66  Current number of equations to process: 88
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 99
% 1.35/1.66  New rule produced :
% 1.35/1.66  [100] leq(A,multiplication(strong_iteration(one),B)) -> true
% 1.35/1.66  Current number of equations to process: 93
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 100
% 1.35/1.66  New rule produced :
% 1.35/1.66  [101]
% 1.35/1.66  leq(star(A),strong_iteration(A) addition multiplication(strong_iteration(A),B))
% 1.35/1.66  -> true
% 1.35/1.66  Current number of equations to process: 93
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 101
% 1.35/1.66  New rule produced :
% 1.35/1.66  [102]
% 1.35/1.66  ifeq(leq(A,multiplication(B,A)),true,leq(A,multiplication(strong_iteration(B),zero)),true)
% 1.35/1.66  -> true
% 1.35/1.66  Current number of equations to process: 99
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 102
% 1.35/1.66  New rule produced :
% 1.35/1.66  [103]
% 1.35/1.66  ifeq(leq(one,A addition B),true,leq(one,multiplication(strong_iteration(A),B)),true)
% 1.35/1.66  -> true
% 1.35/1.66  Current number of equations to process: 97
% 1.35/1.66  Current number of ordered equations: 1
% 1.35/1.66  Current number of rules: 103
% 1.35/1.66  New rule produced :
% 1.35/1.66  [104]
% 1.35/1.66  ifeq(leq(A,one addition multiplication(B,A)),true,leq(A,strong_iteration(B)),true)
% 1.35/1.66  -> true
% 1.35/1.66  Current number of equations to process: 97
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 104
% 1.35/1.66  New rule produced : [105] leq(one,star(A)) -> true
% 1.35/1.66  Current number of equations to process: 111
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 105
% 1.35/1.66  New rule produced : [106] leq(one,star(A) addition B) -> true
% 1.35/1.66  Current number of equations to process: 110
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 106
% 1.35/1.66  New rule produced :
% 1.35/1.66  [107] multiplication(A,star(B)) addition A -> multiplication(A,star(B))
% 1.35/1.66  Current number of equations to process: 121
% 1.35/1.66  Current number of ordered equations: 0
% 1.35/1.66  Current number of rules: 107
% 1.35/1.66  New rule produced :
% 1.35/1.66  [108] multiplication(star(A),B) addition B -> multiplication(star(A),B)
% 1.42/1.68  Current number of equations to process: 120
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 108
% 1.42/1.68  Rule [46]
% 1.42/1.68       star(A) addition multiplication(star(B),B) <->
% 1.42/1.68       star(B) addition multiplication(A,star(A)) is composed into [46]
% 1.42/1.68                                                                   star(A) addition 
% 1.42/1.68                                                                   multiplication(
% 1.42/1.68                                                                   star(B),B)
% 1.42/1.68                                                                   ->
% 1.42/1.68                                                                   star(A) addition 
% 1.42/1.68                                                                   star(B)
% 1.42/1.68  New rule produced :
% 1.42/1.68  [109] star(B) addition multiplication(A,star(A)) -> star(A) addition star(B)
% 1.42/1.68  Rule [28] star(A) addition multiplication(A,star(A)) -> star(A) collapsed.
% 1.42/1.68  Rule
% 1.42/1.68  [44]
% 1.42/1.68  star(A) addition multiplication(B,star(B)) <->
% 1.42/1.68  star(B) addition multiplication(A,star(A)) collapsed.
% 1.42/1.68  Rule
% 1.42/1.68  [47]
% 1.42/1.68  star(B) addition multiplication(A,star(A)) <->
% 1.42/1.68  star(A) addition multiplication(star(B),B) collapsed.
% 1.42/1.68  Current number of equations to process: 119
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 106
% 1.42/1.68  Rule [52]
% 1.42/1.68       strong_iteration(B) addition multiplication(star(A),A) <->
% 1.42/1.68       star(A) addition multiplication(B,strong_iteration(B)) is composed into 
% 1.42/1.68  [52]
% 1.42/1.68  strong_iteration(B) addition multiplication(star(A),A) ->
% 1.42/1.68  strong_iteration(B) addition star(A)
% 1.42/1.68  Rule [50]
% 1.42/1.68       strong_iteration(B) addition multiplication(A,star(A)) <->
% 1.42/1.68       star(A) addition multiplication(B,strong_iteration(B)) is composed into 
% 1.42/1.68  [50]
% 1.42/1.68  strong_iteration(B) addition multiplication(A,star(A)) ->
% 1.42/1.68  strong_iteration(B) addition star(A)
% 1.42/1.68  New rule produced :
% 1.42/1.68  [110]
% 1.42/1.68  star(B) addition multiplication(A,strong_iteration(A)) ->
% 1.42/1.68  strong_iteration(A) addition star(B)
% 1.42/1.68  Rule
% 1.42/1.68  [49]
% 1.42/1.68  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.42/1.68  strong_iteration(B) addition multiplication(A,star(A)) collapsed.
% 1.42/1.68  Rule
% 1.42/1.68  [51]
% 1.42/1.68  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.42/1.68  strong_iteration(B) addition multiplication(star(A),A) collapsed.
% 1.42/1.68  Current number of equations to process: 117
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 105
% 1.42/1.68  New rule produced : [111] ifeq3(star(A),one,leq(star(A),one),true) -> true
% 1.42/1.68  Current number of equations to process: 116
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 106
% 1.42/1.68  New rule produced : [112] ifeq2(leq(star(A),one),true,star(A),one) -> one
% 1.42/1.68  Current number of equations to process: 115
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 107
% 1.42/1.68  New rule produced : [113] leq(one,strong_iteration(A)) -> true
% 1.42/1.68  Current number of equations to process: 124
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 108
% 1.42/1.68  New rule produced : [114] leq(one,strong_iteration(A) addition B) -> true
% 1.42/1.68  Current number of equations to process: 123
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 109
% 1.42/1.68  New rule produced :
% 1.42/1.68  [115]
% 1.42/1.68  multiplication(A,strong_iteration(B)) addition A ->
% 1.42/1.68  multiplication(A,strong_iteration(B))
% 1.42/1.68  Current number of equations to process: 134
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 110
% 1.42/1.68  New rule produced :
% 1.42/1.68  [116]
% 1.42/1.68  multiplication(strong_iteration(A),B) addition B ->
% 1.42/1.68  multiplication(strong_iteration(A),B)
% 1.42/1.68  Current number of equations to process: 133
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 111
% 1.42/1.68  New rule produced :
% 1.42/1.68  [117]
% 1.42/1.68  strong_iteration(B) addition multiplication(A,strong_iteration(A)) ->
% 1.42/1.68  strong_iteration(A) addition strong_iteration(B)
% 1.42/1.68  Rule
% 1.42/1.68  [30]
% 1.42/1.68  strong_iteration(A) addition multiplication(A,strong_iteration(A)) ->
% 1.42/1.68  strong_iteration(A) collapsed.
% 1.42/1.68  Rule
% 1.42/1.68  [48]
% 1.42/1.68  strong_iteration(A) addition multiplication(B,strong_iteration(B)) <->
% 1.42/1.68  strong_iteration(B) addition multiplication(A,strong_iteration(A)) collapsed.
% 1.42/1.68  Current number of equations to process: 132
% 1.42/1.68  Current number of ordered equations: 0
% 1.42/1.68  Current number of rules: 110
% 1.42/1.68  New rule produced :
% 1.42/1.68  [118]
% 1.42/1.68  ifeq3(strong_iteration(A),one,leq(strong_iteration(A),one),true) -> true
% 1.42/1.68  Current number of equations to process: 131
% 1.42/1.68  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 111
% 1.50/1.78  New rule produced :
% 1.50/1.78  [119] ifeq2(leq(strong_iteration(A),one),true,strong_iteration(A),one) -> one
% 1.50/1.78  Current number of equations to process: 130
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 112
% 1.50/1.78  New rule produced :
% 1.50/1.78  [120] star(multiplication(A,zero)) -> one addition multiplication(A,zero)
% 1.50/1.78  Current number of equations to process: 135
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 113
% 1.50/1.78  New rule produced :
% 1.50/1.78  [121]
% 1.50/1.78  strong_iteration(multiplication(A,zero)) ->
% 1.50/1.78  one addition multiplication(A,zero)
% 1.50/1.78  Current number of equations to process: 134
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 114
% 1.50/1.78  New rule produced :
% 1.50/1.78  [122]
% 1.50/1.78  multiplication(multiplication(A,multiplication(B,zero)),C) ->
% 1.50/1.78  multiplication(A,multiplication(B,zero))
% 1.50/1.78  Current number of equations to process: 133
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 115
% 1.50/1.78  New rule produced : [123] leq(star(A),strong_iteration(A) addition B) -> true
% 1.50/1.78  Rule
% 1.50/1.78  [101]
% 1.50/1.78  leq(star(A),strong_iteration(A) addition multiplication(strong_iteration(A),B))
% 1.50/1.78  -> true collapsed.
% 1.50/1.78  Current number of equations to process: 138
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 115
% 1.50/1.78  New rule produced :
% 1.50/1.78  [124]
% 1.50/1.78  multiplication(A,strong_iteration(B)) addition multiplication(A,star(B)) ->
% 1.50/1.78  multiplication(A,strong_iteration(B))
% 1.50/1.78  Current number of equations to process: 149
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 116
% 1.50/1.78  New rule produced :
% 1.50/1.78  [125]
% 1.50/1.78  multiplication(strong_iteration(A),B) addition multiplication(star(A),B) ->
% 1.50/1.78  multiplication(strong_iteration(A),B)
% 1.50/1.78  Current number of equations to process: 148
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 117
% 1.50/1.78  New rule produced : [126] leq(multiplication(star(A),A),star(A)) -> true
% 1.50/1.78  Current number of equations to process: 155
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 118
% 1.50/1.78  New rule produced :
% 1.50/1.78  [127] leq(multiplication(star(A),A),star(A) addition B) -> true
% 1.50/1.78  Current number of equations to process: 169
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 119
% 1.50/1.78  New rule produced :
% 1.50/1.78  [128]
% 1.50/1.78  ifeq3(strong_iteration(A),star(A),leq(strong_iteration(A),star(A)),true) ->
% 1.50/1.78  true
% 1.50/1.78  Current number of equations to process: 168
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 120
% 1.50/1.78  New rule produced :
% 1.50/1.78  [129]
% 1.50/1.78  ifeq2(leq(strong_iteration(A),star(A)),true,strong_iteration(A),star(A)) ->
% 1.50/1.78  star(A)
% 1.50/1.78  Current number of equations to process: 167
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 121
% 1.50/1.78  New rule produced :
% 1.50/1.78  [130] leq(multiplication(star(A),star(A)),star(A)) -> true
% 1.50/1.78  Current number of equations to process: 168
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 122
% 1.50/1.78  New rule produced :
% 1.50/1.78  [131]
% 1.50/1.78  leq(multiplication(strong_iteration(A),zero),strong_iteration(A)) -> true
% 1.50/1.78  Current number of equations to process: 176
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 123
% 1.50/1.78  New rule produced :
% 1.50/1.78  [132]
% 1.50/1.78  leq(multiplication(strong_iteration(A),zero),strong_iteration(A) addition B)
% 1.50/1.78  -> true
% 1.50/1.78  Current number of equations to process: 185
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 124
% 1.50/1.78  New rule produced : [133] leq(multiplication(A,star(A)),star(A)) -> true
% 1.50/1.78  Current number of equations to process: 206
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 125
% 1.50/1.78  New rule produced :
% 1.50/1.78  [134] leq(multiplication(A,strong_iteration(A)),strong_iteration(A)) -> true
% 1.50/1.78  Current number of equations to process: 205
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 126
% 1.50/1.78  New rule produced : [135] leq(one addition A,star(B) addition A) -> true
% 1.50/1.78  Current number of equations to process: 204
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 127
% 1.50/1.78  New rule produced :
% 1.50/1.78  [136] leq(one addition A,strong_iteration(B) addition A) -> true
% 1.50/1.78  Current number of equations to process: 203
% 1.50/1.78  Current number of ordered equations: 0
% 1.50/1.78  Current number of rules: 128
% 1.50/1.78  New rule produced :
% 1.50/1.78  [137] leq(multiplication(A,star(A)),star(A) addition B) -> true
% 1.50/1.78  Current number of equations to process: 202
% 1.50/1.78  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 129
% 1.57/1.84  New rule produced :
% 1.57/1.84  [138]
% 1.57/1.84  leq(multiplication(A,strong_iteration(A)),strong_iteration(A) addition B) ->
% 1.57/1.84  true
% 1.57/1.84  Current number of equations to process: 201
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 130
% 1.57/1.84  New rule produced :
% 1.57/1.84  [139] leq(star(A) addition B,strong_iteration(A) addition B) -> true
% 1.57/1.84  Current number of equations to process: 200
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 131
% 1.57/1.84  New rule produced :
% 1.57/1.84  [140] leq(one addition A,star(B) addition A addition C) -> true
% 1.57/1.84  Current number of equations to process: 199
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 132
% 1.57/1.84  New rule produced :
% 1.57/1.84  [141] leq(one addition A,strong_iteration(B) addition A addition C) -> true
% 1.57/1.84  Current number of equations to process: 198
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 133
% 1.57/1.84  New rule produced :
% 1.57/1.84  [142] leq(A,multiplication(strong_iteration(B),A)) -> true
% 1.57/1.84  Current number of equations to process: 199
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 134
% 1.57/1.84  New rule produced :
% 1.57/1.84  [143] leq(multiplication(A,star(A)) addition B,star(A) addition B) -> true
% 1.57/1.84  Current number of equations to process: 202
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 135
% 1.57/1.84  New rule produced :
% 1.57/1.84  [144] leq(multiplication(star(A),A) addition B,star(A) addition B) -> true
% 1.57/1.84  Current number of equations to process: 201
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 136
% 1.57/1.84  New rule produced :
% 1.57/1.84  [145]
% 1.57/1.84  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition B)
% 1.57/1.84  -> true
% 1.57/1.84  Current number of equations to process: 200
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 137
% 1.57/1.84  New rule produced :
% 1.57/1.84  [146]
% 1.57/1.84  leq(star(A) addition B,strong_iteration(A) addition B addition C) -> true
% 1.57/1.84  Current number of equations to process: 198
% 1.57/1.84  Current number of ordered equations: 1
% 1.57/1.84  Current number of rules: 138
% 1.57/1.84  New rule produced :
% 1.57/1.84  [147]
% 1.57/1.84  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B)
% 1.57/1.84  -> true
% 1.57/1.84  Current number of equations to process: 198
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 139
% 1.57/1.84  New rule produced : [148] multiplication(A,zero) addition A -> A
% 1.57/1.84  Rule
% 1.57/1.84  [31]
% 1.57/1.84  strong_iteration(A) addition multiplication(strong_iteration(A),zero) ->
% 1.57/1.84  strong_iteration(A) collapsed.
% 1.57/1.84  Current number of equations to process: 196
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 139
% 1.57/1.84  New rule produced : [149] star(A) addition multiplication(A,zero) -> star(A)
% 1.57/1.84  Current number of equations to process: 197
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 140
% 1.57/1.84  New rule produced :
% 1.57/1.84  [150]
% 1.57/1.84  strong_iteration(A) addition multiplication(A,zero) -> strong_iteration(A)
% 1.57/1.84  Current number of equations to process: 198
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 141
% 1.57/1.84  New rule produced :
% 1.57/1.84  [151] leq(multiplication(A,zero),multiplication(A,B)) -> true
% 1.57/1.84  Current number of equations to process: 212
% 1.57/1.84  Current number of ordered equations: 0
% 1.57/1.84  Current number of rules: 142
% 1.57/1.84  New rule produced :
% 1.57/1.85  [152] leq(multiplication(A,zero),multiplication(A,B) addition C) -> true
% 1.57/1.85  Current number of equations to process: 224
% 1.57/1.85  Current number of ordered equations: 0
% 1.57/1.85  Current number of rules: 143
% 1.57/1.85  New rule produced :
% 1.57/1.85  [153]
% 1.57/1.85  star(A) addition multiplication(strong_iteration(A),B) ->
% 1.57/1.85  strong_iteration(A) addition multiplication(strong_iteration(A),B)
% 1.57/1.85  Rule
% 1.57/1.85  [14]
% 1.57/1.85  star(A) addition multiplication(strong_iteration(A),zero) ->
% 1.57/1.85  strong_iteration(A) collapsed.
% 1.57/1.85  Current number of equations to process: 221
% 1.57/1.85  Current number of ordered equations: 0
% 1.57/1.85  Current number of rules: 143
% 1.57/1.85  New rule produced :
% 1.57/1.85  [154]
% 1.57/1.85  multiplication(multiplication(A,B),C) addition multiplication(A,zero) <->
% 1.57/1.85  multiplication(A,multiplication(B,C))
% 1.57/1.85  Current number of equations to process: 220
% 1.57/1.85  Current number of ordered equations: 1
% 1.57/1.85  Current number of rules: 144
% 1.57/1.85  New rule produced :
% 1.57/1.85  [155]
% 1.57/1.85  multiplication(A,multiplication(B,C)) <->
% 1.57/1.85  multiplication(multiplication(A,B),C) addition multiplication(A,zero)
% 1.57/1.85  Current number of equations to process: 220
% 1.57/1.85  Current number of ordered equations: 0
% 1.57/1.85  Current number of rules: 145
% 1.72/2.03  Rule [155]
% 1.72/2.03       multiplication(A,multiplication(B,C)) <->
% 1.72/2.03       multiplication(multiplication(A,B),C) addition multiplication(A,zero) is composed into 
% 1.72/2.03  [155]
% 1.72/2.03  multiplication(A,multiplication(B,C)) <->
% 1.72/2.03  multiplication(multiplication(A,B),C)
% 1.72/2.03  New rule produced :
% 1.72/2.03  [156]
% 1.72/2.03  multiplication(multiplication(A,B),C) addition multiplication(A,zero) ->
% 1.72/2.03  multiplication(multiplication(A,B),C)
% 1.72/2.03  Rule
% 1.72/2.03  [154]
% 1.72/2.03  multiplication(multiplication(A,B),C) addition multiplication(A,zero) <->
% 1.72/2.03  multiplication(A,multiplication(B,C)) collapsed.
% 1.72/2.03  Current number of equations to process: 219
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 145
% 1.72/2.03  New rule produced :
% 1.72/2.03  [157]
% 1.72/2.03  leq(multiplication(A,zero) addition B,multiplication(A,C) addition B) -> true
% 1.72/2.03  Current number of equations to process: 223
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 146
% 1.72/2.03  New rule produced :
% 1.72/2.03  [158]
% 1.72/2.03  multiplication(multiplication(A,B),star(B)) addition A ->
% 1.72/2.03  multiplication(A,star(B))
% 1.72/2.03  Current number of equations to process: 260
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 147
% 1.72/2.03  New rule produced :
% 1.72/2.03  [159]
% 1.72/2.03  one addition multiplication(star(multiplication(A,star(A))),star(A)) ->
% 1.72/2.03  star(multiplication(A,star(A)))
% 1.72/2.03  Current number of equations to process: 255
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 148
% 1.72/2.03  New rule produced :
% 1.72/2.03  [160]
% 1.72/2.03  multiplication(A,star(B)) addition multiplication(A,multiplication(star(B),B))
% 1.72/2.03  -> multiplication(A,star(B))
% 1.72/2.03  Current number of equations to process: 254
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 149
% 1.72/2.03  New rule produced :
% 1.72/2.03  [161]
% 1.72/2.03  multiplication(star(A),B) addition multiplication(multiplication(star(A),A),B)
% 1.72/2.03  -> multiplication(star(A),B)
% 1.72/2.03  Current number of equations to process: 253
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 150
% 1.72/2.03  New rule produced :
% 1.72/2.03  [162]
% 1.72/2.03  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(
% 1.72/2.03                                                                  strong_iteration(B),zero))
% 1.72/2.03  -> multiplication(A,strong_iteration(B))
% 1.72/2.03  Current number of equations to process: 252
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 151
% 1.72/2.03  New rule produced :
% 1.72/2.03  [163]
% 1.72/2.03  multiplication(A,star(B)) addition multiplication(A,multiplication(B,star(B)))
% 1.72/2.03  -> multiplication(A,star(B))
% 1.72/2.03  Current number of equations to process: 251
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 152
% 1.72/2.03  New rule produced : [164] leq(A,multiplication(A,star(B))) -> true
% 1.72/2.03  Current number of equations to process: 274
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 153
% 1.72/2.03  New rule produced : [165] leq(A,multiplication(A,star(B)) addition C) -> true
% 1.72/2.03  Current number of equations to process: 273
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 154
% 1.72/2.03  New rule produced :
% 1.72/2.03  [166]
% 1.72/2.03  one addition multiplication(star(A),star(B)) ->
% 1.72/2.03  multiplication(star(A),star(B))
% 1.72/2.03  Rule
% 1.72/2.03  [159]
% 1.72/2.03  one addition multiplication(star(multiplication(A,star(A))),star(A)) ->
% 1.72/2.03  star(multiplication(A,star(A))) collapsed.
% 1.72/2.03  Current number of equations to process: 272
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 154
% 1.72/2.03  New rule produced :
% 1.72/2.03  [167]
% 1.72/2.03  one addition multiplication(strong_iteration(A),star(B)) ->
% 1.72/2.03  multiplication(strong_iteration(A),star(B))
% 1.72/2.03  Current number of equations to process: 271
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 155
% 1.72/2.03  New rule produced :
% 1.72/2.03  [168]
% 1.72/2.03  multiplication(multiplication(A,star(B)),B) addition A ->
% 1.72/2.03  multiplication(A,star(B))
% 1.72/2.03  Current number of equations to process: 310
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 156
% 1.72/2.03  New rule produced :
% 1.72/2.03  [169]
% 1.72/2.03  multiplication(star(multiplication(A,star(A))),star(A)) ->
% 1.72/2.03  star(multiplication(A,star(A)))
% 1.72/2.03  Current number of equations to process: 309
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 157
% 1.72/2.03  New rule produced :
% 1.72/2.03  [170] leq(A addition B,multiplication(A,star(C)) addition B) -> true
% 1.72/2.03  Current number of equations to process: 308
% 1.72/2.03  Current number of ordered equations: 0
% 1.72/2.03  Current number of rules: 158
% 1.72/2.03  New rule produced :
% 1.72/2.03  [171]
% 1.72/2.03  multiplication(star(multiplication(star(A),A)),star(A)) ->
% 2.03/2.31  star(multiplication(star(A),A))
% 2.03/2.31  Current number of equations to process: 307
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 159
% 2.03/2.31  New rule produced :
% 2.03/2.31  [172]
% 2.03/2.31  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,star(B))) ->
% 2.03/2.31  true
% 2.03/2.31  Current number of equations to process: 306
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 160
% 2.03/2.31  New rule produced :
% 2.03/2.31  [173]
% 2.03/2.31  multiplication(star(A),star(B)) addition multiplication(star(A),A) ->
% 2.03/2.31  multiplication(star(A),star(B))
% 2.03/2.31  Current number of equations to process: 303
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 161
% 2.03/2.31  New rule produced :
% 2.03/2.31  [174]
% 2.03/2.31  leq(A addition B,multiplication(A,star(C)) addition B addition V_3) -> true
% 2.03/2.31  Current number of equations to process: 302
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 162
% 2.03/2.31  New rule produced :
% 2.03/2.31  [175]
% 2.03/2.31  multiplication(multiplication(A,B),strong_iteration(B)) addition A ->
% 2.03/2.31  multiplication(A,strong_iteration(B))
% 2.03/2.31  Current number of equations to process: 361
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 163
% 2.03/2.31  New rule produced :
% 2.03/2.31  [176]
% 2.03/2.31  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,star(B))) ->
% 2.03/2.31  true
% 2.03/2.31  Current number of equations to process: 360
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 164
% 2.03/2.31  New rule produced :
% 2.03/2.31  [177]
% 2.03/2.31  one addition multiplication(star(multiplication(A,strong_iteration(A))),
% 2.03/2.31               strong_iteration(A)) ->
% 2.03/2.31  star(multiplication(A,strong_iteration(A)))
% 2.03/2.31  Current number of equations to process: 359
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 165
% 2.03/2.31  New rule produced :
% 2.03/2.31  [178]
% 2.03/2.31  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(B,
% 2.03/2.31                                                                  strong_iteration(B)))
% 2.03/2.31  -> multiplication(A,strong_iteration(B))
% 2.03/2.31  Current number of equations to process: 358
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 166
% 2.03/2.31  New rule produced :
% 2.03/2.31  [179] leq(A,multiplication(A,strong_iteration(B))) -> true
% 2.03/2.31  Current number of equations to process: 381
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 167
% 2.03/2.31  New rule produced :
% 2.03/2.31  [180] leq(A,multiplication(A,strong_iteration(B)) addition C) -> true
% 2.03/2.31  Current number of equations to process: 380
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 168
% 2.03/2.31  New rule produced :
% 2.03/2.31  [181]
% 2.03/2.31  one addition multiplication(star(A),strong_iteration(B)) ->
% 2.03/2.31  multiplication(star(A),strong_iteration(B))
% 2.03/2.31  Rule
% 2.03/2.31  [177]
% 2.03/2.31  one addition multiplication(star(multiplication(A,strong_iteration(A))),
% 2.03/2.31               strong_iteration(A)) ->
% 2.03/2.31  star(multiplication(A,strong_iteration(A))) collapsed.
% 2.03/2.31  Current number of equations to process: 379
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 168
% 2.03/2.31  New rule produced :
% 2.03/2.31  [182]
% 2.03/2.31  one addition multiplication(strong_iteration(A),strong_iteration(B)) ->
% 2.03/2.31  multiplication(strong_iteration(A),strong_iteration(B))
% 2.03/2.31  Current number of equations to process: 378
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 169
% 2.03/2.31  New rule produced :
% 2.03/2.31  [183]
% 2.03/2.31  multiplication(multiplication(A,star(A)),zero) ->
% 2.03/2.31  multiplication(star(A),zero)
% 2.03/2.31  Current number of equations to process: 397
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 170
% 2.03/2.31  New rule produced :
% 2.03/2.31  [184]
% 2.03/2.31  multiplication(A,multiplication(star(A),B)) addition B ->
% 2.03/2.31  multiplication(star(A),B)
% 2.03/2.31  Current number of equations to process: 434
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 171
% 2.03/2.31  New rule produced :
% 2.03/2.31  [185]
% 2.03/2.31  multiplication(star(multiplication(A,strong_iteration(A))),strong_iteration(A))
% 2.03/2.31  -> star(multiplication(A,strong_iteration(A)))
% 2.03/2.31  Current number of equations to process: 433
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 172
% 2.03/2.31  New rule produced :
% 2.03/2.31  [186]
% 2.03/2.31  leq(A addition B,multiplication(A,strong_iteration(C)) addition B) -> true
% 2.03/2.31  Current number of equations to process: 432
% 2.03/2.31  Current number of ordered equations: 0
% 2.03/2.31  Current number of rules: 173
% 2.03/2.31  New rule produced :
% 2.03/2.31  [187]
% 2.03/2.31  multiplication(star(A),star(multiplication(A,star(A)))) ->
% 2.03/2.31  star(multiplication(A,star(A)))
% 2.03/2.31  Current number of equations to process: 431
% 2.03/2.31  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 174
% 2.17/2.51  New rule produced :
% 2.17/2.51  [188]
% 2.17/2.51  multiplication(star(A),strong_iteration(multiplication(A,star(A)))) ->
% 2.17/2.51  strong_iteration(multiplication(A,star(A)))
% 2.17/2.51  Current number of equations to process: 430
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 175
% 2.17/2.51  New rule produced :
% 2.17/2.51  [189]
% 2.17/2.51  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(A,
% 2.17/2.51                                                              strong_iteration(B)))
% 2.17/2.51  -> true
% 2.17/2.51  Current number of equations to process: 428
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 176
% 2.17/2.51  New rule produced :
% 2.17/2.51  [190]
% 2.17/2.51  multiplication(star(A),strong_iteration(B)) addition multiplication(star(A),A)
% 2.17/2.51  -> multiplication(star(A),strong_iteration(B))
% 2.17/2.51  Current number of equations to process: 425
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 177
% 2.17/2.51  New rule produced :
% 2.17/2.51  [191]
% 2.17/2.51  leq(A addition B,multiplication(A,strong_iteration(C)) addition B addition V_3)
% 2.17/2.51  -> true
% 2.17/2.51  Current number of equations to process: 424
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 178
% 2.17/2.51  New rule produced :
% 2.17/2.51  [192]
% 2.17/2.51  multiplication(star(A),B) addition multiplication(multiplication(A,star(A)),B)
% 2.17/2.51  -> multiplication(star(A),B)
% 2.17/2.51  Current number of equations to process: 423
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 179
% 2.17/2.51  New rule produced : [193] leq(A,multiplication(star(B),A)) -> true
% 2.17/2.51  Current number of equations to process: 440
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 180
% 2.17/2.51  New rule produced : [194] leq(A,multiplication(star(B),A) addition C) -> true
% 2.17/2.51  Current number of equations to process: 439
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 181
% 2.17/2.51  New rule produced :
% 2.17/2.51  [195]
% 2.17/2.51  multiplication(star(A),multiplication(A,B)) addition B ->
% 2.17/2.51  multiplication(star(A),B)
% 2.17/2.51  Current number of equations to process: 512
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 182
% 2.17/2.51  New rule produced :
% 2.17/2.51  [196]
% 2.17/2.51  star(B) addition multiplication(star(A),strong_iteration(B)) ->
% 2.17/2.51  multiplication(star(A),strong_iteration(B))
% 2.17/2.51  Current number of equations to process: 511
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 183
% 2.17/2.51  New rule produced :
% 2.17/2.51  [197] leq(A addition B,multiplication(star(C),A) addition B) -> true
% 2.17/2.51  Current number of equations to process: 510
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 184
% 2.17/2.51  New rule produced :
% 2.17/2.51  [198]
% 2.17/2.51  multiplication(star(A),multiplication(A,star(A))) <->
% 2.17/2.51  multiplication(multiplication(A,star(A)),star(A))
% 2.17/2.51  Current number of equations to process: 509
% 2.17/2.51  Current number of ordered equations: 1
% 2.17/2.51  Current number of rules: 185
% 2.17/2.51  New rule produced :
% 2.17/2.51  [199]
% 2.17/2.51  multiplication(multiplication(A,star(A)),star(A)) <->
% 2.17/2.51  multiplication(star(A),multiplication(A,star(A)))
% 2.17/2.51  Current number of equations to process: 509
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 186
% 2.17/2.51  New rule produced :
% 2.17/2.51  [200]
% 2.17/2.51  multiplication(star(A),star(multiplication(star(A),A))) ->
% 2.17/2.51  star(multiplication(star(A),A))
% 2.17/2.51  Current number of equations to process: 508
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 187
% 2.17/2.51  New rule produced :
% 2.17/2.51  [201]
% 2.17/2.51  multiplication(star(A),strong_iteration(multiplication(star(A),A))) ->
% 2.17/2.51  strong_iteration(multiplication(star(A),A))
% 2.17/2.51  Current number of equations to process: 507
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 188
% 2.17/2.51  New rule produced :
% 2.17/2.51  [202]
% 2.17/2.51  leq(multiplication(multiplication(A,star(A)),B),multiplication(star(A),B)) ->
% 2.17/2.51  true
% 2.17/2.51  Current number of equations to process: 506
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 189
% 2.17/2.51  New rule produced :
% 2.17/2.51  [203]
% 2.17/2.51  multiplication(star(A),star(B)) addition multiplication(star(B),B) ->
% 2.17/2.51  multiplication(star(A),star(B))
% 2.17/2.51  Current number of equations to process: 505
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 190
% 2.17/2.51  New rule produced :
% 2.17/2.51  [204]
% 2.17/2.51  leq(A addition B,multiplication(star(C),A) addition B addition V_3) -> true
% 2.17/2.51  Current number of equations to process: 504
% 2.17/2.51  Current number of ordered equations: 0
% 2.17/2.51  Current number of rules: 191
% 2.17/2.51  New rule produced :
% 2.17/2.51  [205]
% 2.17/2.51  multiplication(star(A),multiplication(B,C)) addition multiplication(B,zero)
% 2.64/2.89  -> multiplication(star(A),multiplication(B,C))
% 2.64/2.89  Current number of equations to process: 503
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 192
% 2.64/2.89  New rule produced :
% 2.64/2.89  [206]
% 2.64/2.89  multiplication(multiplication(A,strong_iteration(A)),zero) ->
% 2.64/2.89  multiplication(strong_iteration(A),zero)
% 2.64/2.89  Current number of equations to process: 556
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 193
% 2.64/2.89  New rule produced :
% 2.64/2.89  [207]
% 2.64/2.89  multiplication(A,multiplication(strong_iteration(A),B)) addition B ->
% 2.64/2.89  multiplication(strong_iteration(A),B)
% 2.64/2.89  Current number of equations to process: 593
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 194
% 2.64/2.89  New rule produced :
% 2.64/2.89  [208]
% 2.64/2.89  multiplication(star(A),multiplication(star(A),A)) <->
% 2.64/2.89  multiplication(multiplication(star(A),A),star(A))
% 2.64/2.89  Current number of equations to process: 592
% 2.64/2.89  Current number of ordered equations: 1
% 2.64/2.89  Current number of rules: 195
% 2.64/2.89  New rule produced :
% 2.64/2.89  [209]
% 2.64/2.89  multiplication(multiplication(star(A),A),star(A)) <->
% 2.64/2.89  multiplication(star(A),multiplication(star(A),A))
% 2.64/2.89  Current number of equations to process: 592
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 196
% 2.64/2.89  New rule produced :
% 2.64/2.89  [210]
% 2.64/2.89  multiplication(strong_iteration(A),star(multiplication(A,strong_iteration(A))))
% 2.64/2.89  -> star(multiplication(A,strong_iteration(A)))
% 2.64/2.89  Current number of equations to process: 591
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 197
% 2.64/2.89  New rule produced :
% 2.64/2.89  [211]
% 2.64/2.89  multiplication(strong_iteration(A),strong_iteration(multiplication(A,
% 2.64/2.89                                                      strong_iteration(A)))) ->
% 2.64/2.89  strong_iteration(multiplication(A,strong_iteration(A)))
% 2.64/2.89  Current number of equations to process: 590
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 198
% 2.64/2.89  New rule produced :
% 2.64/2.89  [212]
% 2.64/2.89  leq(multiplication(multiplication(star(A),A),B),multiplication(star(A),B)) ->
% 2.64/2.89  true
% 2.64/2.89  Current number of equations to process: 588
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 199
% 2.64/2.89  New rule produced :
% 2.64/2.89  [213]
% 2.64/2.89  multiplication(strong_iteration(A),B) addition multiplication(multiplication(A,
% 2.64/2.89                                                                strong_iteration(A)),B)
% 2.64/2.89  -> multiplication(strong_iteration(A),B)
% 2.64/2.89  Current number of equations to process: 587
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 200
% 2.64/2.89  New rule produced :
% 2.64/2.89  [214] leq(A,multiplication(strong_iteration(B),A) addition C) -> true
% 2.64/2.89  Current number of equations to process: 603
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 201
% 2.64/2.89  New rule produced :
% 2.64/2.89  [215]
% 2.64/2.89  star(B) addition multiplication(strong_iteration(A),strong_iteration(B)) ->
% 2.64/2.89  multiplication(strong_iteration(A),strong_iteration(B))
% 2.64/2.89  Current number of equations to process: 674
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 202
% 2.64/2.89  New rule produced :
% 2.64/2.89  [216]
% 2.64/2.89  leq(A addition B,multiplication(strong_iteration(C),A) addition B) -> true
% 2.64/2.89  Current number of equations to process: 673
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 203
% 2.64/2.89  New rule produced :
% 2.64/2.89  [217]
% 2.64/2.89  multiplication(strong_iteration(A),multiplication(A,strong_iteration(A))) <->
% 2.64/2.89  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A))
% 2.64/2.89  Current number of equations to process: 672
% 2.64/2.89  Current number of ordered equations: 1
% 2.64/2.89  Current number of rules: 204
% 2.64/2.89  New rule produced :
% 2.64/2.89  [218]
% 2.64/2.89  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)) <->
% 2.64/2.89  multiplication(strong_iteration(A),multiplication(A,strong_iteration(A)))
% 2.64/2.89  Current number of equations to process: 672
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 205
% 2.64/2.89  New rule produced :
% 2.64/2.89  [219]
% 2.64/2.89  leq(multiplication(multiplication(A,strong_iteration(A)),B),multiplication(
% 2.64/2.89                                                              strong_iteration(A),B))
% 2.64/2.89  -> true
% 2.64/2.89  Current number of equations to process: 671
% 2.64/2.89  Current number of ordered equations: 0
% 2.64/2.89  Current number of rules: 206
% 2.64/2.89  New rule produced :
% 2.64/2.89  [220]
% 2.64/2.89  multiplication(strong_iteration(A),star(B)) addition multiplication(star(B),B)
% 2.64/2.89  -> multiplication(strong_iteration(A),star(B))
% 2.64/2.89  Current number of equations to process: 670
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 207
% 3.31/3.61  New rule produced :
% 3.31/3.61  [221]
% 3.31/3.61  leq(A addition B,multiplication(strong_iteration(C),A) addition B addition V_3)
% 3.31/3.61  -> true
% 3.31/3.61  Current number of equations to process: 669
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 208
% 3.31/3.61  New rule produced :
% 3.31/3.61  [222]
% 3.31/3.61  multiplication(strong_iteration(A),multiplication(B,C)) addition multiplication(B,zero)
% 3.31/3.61  -> multiplication(strong_iteration(A),multiplication(B,C))
% 3.31/3.61  Current number of equations to process: 668
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 209
% 3.31/3.61  New rule produced :
% 3.31/3.61  [223]
% 3.31/3.61  leq(star(A),multiplication(strong_iteration(A),strong_iteration(B))) -> true
% 3.31/3.61  Current number of equations to process: 759
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 210
% 3.31/3.61  New rule produced :
% 3.31/3.61  [224]
% 3.31/3.61  multiplication(multiplication(A,multiplication(B,multiplication(C,zero))),V_3)
% 3.31/3.61  -> multiplication(multiplication(A,B),multiplication(C,zero))
% 3.31/3.61  Current number of equations to process: 968
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 211
% 3.31/3.61  New rule produced :
% 3.31/3.61  [225]
% 3.31/3.61  one addition multiplication(strong_iteration(A),A) -> strong_iteration(A)
% 3.31/3.61  Current number of equations to process: 1327
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 212
% 3.31/3.61  New rule produced :
% 3.31/3.61  [226]
% 3.31/3.61  multiplication(strong_iteration(A),star(star(A))) ->
% 3.31/3.61  star(star(A)) addition multiplication(strong_iteration(A),zero)
% 3.31/3.61  Current number of equations to process: 1353
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 213
% 3.31/3.61  New rule produced :
% 3.31/3.61  [227]
% 3.31/3.61  multiplication(strong_iteration(A),strong_iteration(star(A))) ->
% 3.31/3.61  strong_iteration(star(A)) addition multiplication(strong_iteration(A),zero)
% 3.31/3.61  Current number of equations to process: 1352
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 214
% 3.31/3.61  New rule produced :
% 3.31/3.61  [228]
% 3.31/3.61  ifeq(leq(multiplication(A,zero) addition B,A),true,leq(B,A),true) -> true
% 3.31/3.61  Current number of equations to process: 1351
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 215
% 3.31/3.61  New rule produced :
% 3.31/3.61  [229] ifeq3(star(A) addition B,one,leq(star(A) addition B,one),true) -> true
% 3.31/3.61  Current number of equations to process: 1350
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 216
% 3.31/3.61  New rule produced :
% 3.31/3.61  [230] ifeq2(leq(star(A) addition B,one),true,star(A) addition B,one) -> one
% 3.31/3.61  Current number of equations to process: 1349
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 217
% 3.31/3.61  New rule produced :
% 3.31/3.61  [231]
% 3.31/3.61  ifeq3(strong_iteration(A) addition B,one,leq(strong_iteration(A) addition B,one),true)
% 3.31/3.61  -> true
% 3.31/3.61  Current number of equations to process: 1348
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 218
% 3.31/3.61  New rule produced :
% 3.31/3.61  [232]
% 3.31/3.61  ifeq2(leq(strong_iteration(A) addition B,one),true,strong_iteration(A) addition B,one)
% 3.31/3.61  -> one
% 3.31/3.61  Current number of equations to process: 1347
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 219
% 3.31/3.61  New rule produced :
% 3.31/3.61  [233]
% 3.31/3.61  leq(multiplication(A,star(A)) addition B,star(A) addition B addition C) ->
% 3.31/3.61  true
% 3.31/3.61  Current number of equations to process: 1346
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 220
% 3.31/3.61  New rule produced :
% 3.31/3.61  [234]
% 3.31/3.61  leq(multiplication(star(A),A) addition B,star(A) addition B addition C) ->
% 3.31/3.61  true
% 3.31/3.61  Current number of equations to process: 1345
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 221
% 3.31/3.61  New rule produced :
% 3.31/3.61  [235]
% 3.31/3.61  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition B addition C)
% 3.31/3.61  -> true
% 3.31/3.61  Current number of equations to process: 1344
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 222
% 3.31/3.61  New rule produced :
% 3.31/3.61  [236]
% 3.31/3.61  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B addition C)
% 3.31/3.61  -> true
% 3.31/3.61  Current number of equations to process: 1343
% 3.31/3.61  Current number of ordered equations: 0
% 3.31/3.61  Current number of rules: 223
% 3.31/3.61  New rule produced :
% 3.31/3.61  [237]
% 3.31/3.61  multiplication(multiplication(A,B),C) addition multiplication(A,multiplication(B,zero))
% 3.31/3.61  -> multiplication(multiplication(A,B),C)
% 3.31/3.61  Current number of equations to process: 1339
% 3.31/3.61  Current number of ordered equations: 2
% 3.39/3.66  Current number of rules: 224
% 3.39/3.66  New rule produced :
% 3.39/3.66  [238]
% 3.39/3.66  multiplication(multiplication(A,B),C) <->
% 3.39/3.66  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 3.39/3.66  Current number of equations to process: 1339
% 3.39/3.66  Current number of ordered equations: 1
% 3.39/3.66  Current number of rules: 225
% 3.39/3.66  New rule produced :
% 3.39/3.66  [239]
% 3.39/3.66  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 3.39/3.66  <-> multiplication(multiplication(A,B),C)
% 3.39/3.66  Current number of equations to process: 1339
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 226
% 3.39/3.66  New rule produced :
% 3.39/3.66  [240]
% 3.39/3.66  multiplication(A,multiplication(B,zero)) addition multiplication(A,multiplication(B,C))
% 3.39/3.66  -> multiplication(A,multiplication(B,C))
% 3.39/3.66  Current number of equations to process: 1337
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 227
% 3.39/3.66  New rule produced :
% 3.39/3.66  [241]
% 3.39/3.66  leq(multiplication(A,zero) addition B,multiplication(A,C) addition B addition V_3)
% 3.39/3.66  -> true
% 3.39/3.66  Current number of equations to process: 1336
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 228
% 3.39/3.66  New rule produced :
% 3.39/3.66  [242]
% 3.39/3.66  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,star(B)) addition C)
% 3.39/3.66  -> true
% 3.39/3.66  Current number of equations to process: 1334
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 229
% 3.39/3.66  New rule produced :
% 3.39/3.66  [243]
% 3.39/3.66  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,star(B)) addition C)
% 3.39/3.66  -> true
% 3.39/3.66  Current number of equations to process: 1332
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 230
% 3.39/3.66  New rule produced :
% 3.39/3.66  [244]
% 3.39/3.66  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(A,
% 3.39/3.66                                                              strong_iteration(B)) addition C)
% 3.39/3.66  -> true
% 3.39/3.66  Current number of equations to process: 1330
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 231
% 3.39/3.66  New rule produced :
% 3.39/3.66  [245]
% 3.39/3.66  leq(multiplication(multiplication(A,star(A)),B),multiplication(star(A),B) addition C)
% 3.39/3.66  -> true
% 3.39/3.66  Current number of equations to process: 1326
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 232
% 3.39/3.66  New rule produced :
% 3.39/3.66  [246]
% 3.39/3.66  leq(multiplication(multiplication(star(A),A),B),multiplication(star(A),B) addition C)
% 3.39/3.66  -> true
% 3.39/3.66  Current number of equations to process: 1322
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 233
% 3.39/3.66  New rule produced :
% 3.39/3.66  [247]
% 3.39/3.66  leq(multiplication(multiplication(A,strong_iteration(A)),B),multiplication(
% 3.39/3.66                                                              strong_iteration(A),B) addition C)
% 3.39/3.66  -> true
% 3.39/3.66  Current number of equations to process: 1317
% 3.39/3.66  Current number of ordered equations: 0
% 3.39/3.66  Current number of rules: 234
% 3.39/3.66  New rule produced :
% 3.39/3.66  [248]
% 3.39/3.66  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.66  <->
% 3.39/3.66  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.39/3.66  Current number of equations to process: 1313
% 3.39/3.66  Current number of ordered equations: 5
% 3.39/3.66  Current number of rules: 235
% 3.39/3.66  New rule produced :
% 3.39/3.66  [249]
% 3.39/3.66  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.66  <->
% 3.39/3.66  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.39/3.66  Current number of equations to process: 1313
% 3.39/3.66  Current number of ordered equations: 4
% 3.39/3.66  Current number of rules: 236
% 3.39/3.66  New rule produced :
% 3.39/3.66  [250]
% 3.39/3.66  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.39/3.66  <->
% 3.39/3.66  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.39/3.66  Current number of equations to process: 1313
% 3.39/3.66  Current number of ordered equations: 3
% 3.39/3.66  Current number of rules: 237
% 3.39/3.66  New rule produced :
% 3.39/3.66  [251]
% 3.39/3.66  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.39/3.66  <->
% 3.39/3.66  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.66  Current number of equations to process: 1313
% 3.39/3.66  Current number of ordered equations: 2
% 3.39/3.66  Current number of rules: 238
% 3.39/3.66  New rule produced :
% 3.39/3.66  [252]
% 3.39/3.66  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.39/3.66  <->
% 3.39/3.66  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.39/3.66  Current number of equations to process: 1313
% 3.39/3.66  Current number of ordered equations: 1
% 3.39/3.72  Current number of rules: 239
% 3.39/3.72  New rule produced :
% 3.39/3.72  [253]
% 3.39/3.72  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.72  Current number of equations to process: 1313
% 3.39/3.72  Current number of ordered equations: 0
% 3.39/3.72  Current number of rules: 240
% 3.39/3.72  New rule produced :
% 3.39/3.72  [254]
% 3.39/3.72  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.39/3.72  Current number of equations to process: 1310
% 3.39/3.72  Current number of ordered equations: 5
% 3.39/3.72  Current number of rules: 241
% 3.39/3.72  New rule produced :
% 3.39/3.72  [255]
% 3.39/3.72  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.39/3.72  Current number of equations to process: 1310
% 3.39/3.72  Current number of ordered equations: 4
% 3.39/3.72  Current number of rules: 242
% 3.39/3.72  New rule produced :
% 3.39/3.72  [256]
% 3.39/3.72  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.39/3.72  Current number of equations to process: 1310
% 3.39/3.72  Current number of ordered equations: 3
% 3.39/3.72  Current number of rules: 243
% 3.39/3.72  New rule produced :
% 3.39/3.72  [257]
% 3.39/3.72  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.39/3.72  Current number of equations to process: 1310
% 3.39/3.72  Current number of ordered equations: 2
% 3.39/3.72  Current number of rules: 244
% 3.39/3.72  New rule produced :
% 3.39/3.72  [258]
% 3.39/3.72  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.39/3.72  Current number of equations to process: 1310
% 3.39/3.72  Current number of ordered equations: 1
% 3.39/3.72  Current number of rules: 245
% 3.39/3.72  New rule produced :
% 3.39/3.72  [259]
% 3.39/3.72  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.39/3.72  <->
% 3.39/3.72  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.72  Current number of equations to process: 1310
% 3.39/3.72  Current number of ordered equations: 0
% 3.39/3.72  Current number of rules: 246
% 3.39/3.72  New rule produced :
% 3.39/3.72  [260]
% 3.39/3.72  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.39/3.72  Current number of equations to process: 1307
% 3.39/3.72  Current number of ordered equations: 3
% 3.39/3.72  Current number of rules: 247
% 3.39/3.72  New rule produced :
% 3.39/3.72  [261]
% 3.39/3.72  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.39/3.72  Current number of equations to process: 1307
% 3.39/3.72  Current number of ordered equations: 2
% 3.39/3.72  Current number of rules: 248
% 3.39/3.72  New rule produced :
% 3.39/3.72  [262]
% 3.39/3.72  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.39/3.72  Current number of equations to process: 1307
% 3.39/3.72  Current number of ordered equations: 1
% 3.39/3.72  Current number of rules: 249
% 3.39/3.72  New rule produced :
% 3.39/3.72  [263]
% 3.39/3.72  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.39/3.72  Current number of equations to process: 1307
% 3.39/3.72  Current number of ordered equations: 0
% 3.39/3.72  Current number of rules: 250
% 3.39/3.72  New rule produced :
% 3.39/3.72  [264]
% 3.39/3.72  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.39/3.72  Current number of equations to process: 1304
% 3.39/3.72  Current number of ordered equations: 5
% 3.39/3.72  Current number of rules: 251
% 3.39/3.72  New rule produced :
% 3.39/3.72  [265]
% 3.39/3.72  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.39/3.72  Current number of equations to process: 1304
% 3.39/3.72  Current number of ordered equations: 4
% 3.39/3.72  Current number of rules: 252
% 3.39/3.72  New rule produced :
% 3.39/3.72  [266]
% 3.39/3.72  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.39/3.72  <->
% 3.39/3.72  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.52/3.78  Current number of equations to process: 1304
% 3.52/3.78  Current number of ordered equations: 3
% 3.52/3.78  Current number of rules: 253
% 3.52/3.78  New rule produced :
% 3.52/3.78  [267]
% 3.52/3.78  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.52/3.78  Current number of equations to process: 1304
% 3.52/3.78  Current number of ordered equations: 2
% 3.52/3.78  Current number of rules: 254
% 3.52/3.78  New rule produced :
% 3.52/3.78  [268]
% 3.52/3.78  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.52/3.78  Current number of equations to process: 1304
% 3.52/3.78  Current number of ordered equations: 1
% 3.52/3.78  Current number of rules: 255
% 3.52/3.78  New rule produced :
% 3.52/3.78  [269]
% 3.52/3.78  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.52/3.78  Current number of equations to process: 1304
% 3.52/3.78  Current number of ordered equations: 0
% 3.52/3.78  Current number of rules: 256
% 3.52/3.78  New rule produced :
% 3.52/3.78  [270]
% 3.52/3.78  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.78  Current number of equations to process: 1302
% 3.52/3.78  Current number of ordered equations: 3
% 3.52/3.78  Current number of rules: 257
% 3.52/3.78  New rule produced :
% 3.52/3.78  [271]
% 3.52/3.78  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.78  Current number of equations to process: 1302
% 3.52/3.78  Current number of ordered equations: 2
% 3.52/3.78  Current number of rules: 258
% 3.52/3.78  New rule produced :
% 3.52/3.78  [272]
% 3.52/3.78  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.52/3.78  Current number of equations to process: 1302
% 3.52/3.78  Current number of ordered equations: 1
% 3.52/3.78  Current number of rules: 259
% 3.52/3.78  New rule produced :
% 3.52/3.78  [273]
% 3.52/3.78  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.52/3.78  Current number of equations to process: 1302
% 3.52/3.78  Current number of ordered equations: 0
% 3.52/3.78  Current number of rules: 260
% 3.52/3.78  New rule produced :
% 3.52/3.78  [274]
% 3.52/3.78  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.78  Current number of equations to process: 1299
% 3.52/3.78  Current number of ordered equations: 3
% 3.52/3.78  Current number of rules: 261
% 3.52/3.78  New rule produced :
% 3.52/3.78  [275]
% 3.52/3.78  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.52/3.78  Current number of equations to process: 1299
% 3.52/3.78  Current number of ordered equations: 2
% 3.52/3.78  Current number of rules: 262
% 3.52/3.78  New rule produced :
% 3.52/3.78  [276]
% 3.52/3.78  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.78  Current number of equations to process: 1299
% 3.52/3.78  Current number of ordered equations: 1
% 3.52/3.78  Current number of rules: 263
% 3.52/3.78  New rule produced :
% 3.52/3.78  [277]
% 3.52/3.78  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.78  <->
% 3.52/3.78  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.52/3.78  Current number of equations to process: 1299
% 3.52/3.78  Current number of ordered equations: 0
% 3.52/3.78  Current number of rules: 264
% 3.52/3.78  New rule produced :
% 3.52/3.78  [278]
% 3.52/3.78  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.52/3.78  Current number of equations to process: 1296
% 3.52/3.78  Current number of ordered equations: 5
% 3.52/3.78  Current number of rules: 265
% 3.52/3.78  New rule produced :
% 3.52/3.78  [279]
% 3.52/3.78  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.52/3.78  <->
% 3.52/3.78  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.78  Current number of equations to process: 1296
% 3.52/3.78  Current number of ordered equations: 4
% 3.52/3.78  Current number of rules: 266
% 3.52/3.78  New rule produced :
% 3.52/3.78  [280]
% 3.52/3.78  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.84  Current number of equations to process: 1296
% 3.52/3.84  Current number of ordered equations: 3
% 3.52/3.84  Current number of rules: 267
% 3.52/3.84  New rule produced :
% 3.52/3.84  [281]
% 3.52/3.84  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.52/3.84  Current number of equations to process: 1296
% 3.52/3.84  Current number of ordered equations: 2
% 3.52/3.84  Current number of rules: 268
% 3.52/3.84  New rule produced :
% 3.52/3.84  [282]
% 3.52/3.84  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.52/3.84  Current number of equations to process: 1296
% 3.52/3.84  Current number of ordered equations: 1
% 3.52/3.84  Current number of rules: 269
% 3.52/3.84  New rule produced :
% 3.52/3.84  [283]
% 3.52/3.84  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.84  Current number of equations to process: 1296
% 3.52/3.84  Current number of ordered equations: 0
% 3.52/3.84  Current number of rules: 270
% 3.52/3.84  New rule produced :
% 3.52/3.84  [284]
% 3.52/3.84  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.52/3.84  Current number of equations to process: 1290
% 3.52/3.84  Current number of ordered equations: 1
% 3.52/3.84  Current number of rules: 271
% 3.52/3.84  New rule produced :
% 3.52/3.84  [285]
% 3.52/3.84  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.84  Current number of equations to process: 1290
% 3.52/3.84  Current number of ordered equations: 0
% 3.52/3.84  Current number of rules: 272
% 3.52/3.84  New rule produced :
% 3.52/3.84  [286]
% 3.52/3.84  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.52/3.84  Current number of equations to process: 1287
% 3.52/3.84  Current number of ordered equations: 3
% 3.52/3.84  Current number of rules: 273
% 3.52/3.84  New rule produced :
% 3.52/3.84  [287]
% 3.52/3.84  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.84  Current number of equations to process: 1287
% 3.52/3.84  Current number of ordered equations: 2
% 3.52/3.84  Current number of rules: 274
% 3.52/3.84  New rule produced :
% 3.52/3.84  [288]
% 3.52/3.84  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.52/3.84  Current number of equations to process: 1287
% 3.52/3.84  Current number of ordered equations: 1
% 3.52/3.84  Current number of rules: 275
% 3.52/3.84  New rule produced :
% 3.52/3.84  [289]
% 3.52/3.84  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.84  Current number of equations to process: 1287
% 3.52/3.84  Current number of ordered equations: 0
% 3.52/3.84  Current number of rules: 276
% 3.52/3.84  New rule produced :
% 3.52/3.84  [290]
% 3.52/3.84  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.52/3.84  Current number of equations to process: 1283
% 3.52/3.84  Current number of ordered equations: 3
% 3.52/3.84  Current number of rules: 277
% 3.52/3.84  New rule produced :
% 3.52/3.84  [291]
% 3.52/3.84  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.52/3.84  Current number of equations to process: 1283
% 3.52/3.84  Current number of ordered equations: 2
% 3.52/3.84  Current number of rules: 278
% 3.52/3.84  New rule produced :
% 3.52/3.84  [292]
% 3.52/3.84  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.52/3.84  Current number of equations to process: 1283
% 3.52/3.84  Current number of ordered equations: 1
% 3.52/3.84  Current number of rules: 279
% 3.52/3.84  New rule produced :
% 3.52/3.84  [293]
% 3.52/3.84  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.52/3.84  <->
% 3.52/3.84  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.52/3.84  Current number of equations to process: 1283
% 3.52/3.84  Current number of ordered equations: 0
% 3.52/3.84  Current number of rules: 280
% 3.62/3.92  New rule produced :
% 3.62/3.92  [294]
% 3.62/3.92  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  Current number of equations to process: 1277
% 3.62/3.92  Current number of ordered equations: 5
% 3.62/3.92  Current number of rules: 281
% 3.62/3.92  New rule produced :
% 3.62/3.92  [295]
% 3.62/3.92  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  Current number of equations to process: 1277
% 3.62/3.92  Current number of ordered equations: 4
% 3.62/3.92  Current number of rules: 282
% 3.62/3.92  New rule produced :
% 3.62/3.92  [296]
% 3.62/3.92  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.62/3.92  Current number of equations to process: 1277
% 3.62/3.92  Current number of ordered equations: 3
% 3.62/3.92  Current number of rules: 283
% 3.62/3.92  New rule produced :
% 3.62/3.92  [297]
% 3.62/3.92  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.62/3.92  <->
% 3.62/3.92  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.62/3.92  Current number of equations to process: 1277
% 3.62/3.92  Current number of ordered equations: 2
% 3.62/3.92  Current number of rules: 284
% 3.62/3.92  New rule produced :
% 3.62/3.92  [298]
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  <->
% 3.62/3.92  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.62/3.92  Current number of equations to process: 1277
% 3.62/3.92  Current number of ordered equations: 1
% 3.62/3.92  Current number of rules: 285
% 3.62/3.92  New rule produced :
% 3.62/3.92  [299]
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  <->
% 3.62/3.92  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.62/3.92  Current number of equations to process: 1277
% 3.62/3.92  Current number of ordered equations: 0
% 3.62/3.92  Current number of rules: 286
% 3.62/3.92  New rule produced :
% 3.62/3.92  [300]
% 3.62/3.92  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  Current number of equations to process: 1275
% 3.62/3.92  Current number of ordered equations: 1
% 3.62/3.92  Current number of rules: 287
% 3.62/3.92  New rule produced :
% 3.62/3.92  [301]
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  <->
% 3.62/3.92  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.62/3.92  Current number of equations to process: 1275
% 3.62/3.92  Current number of ordered equations: 0
% 3.62/3.92  Current number of rules: 288
% 3.62/3.92  New rule produced :
% 3.62/3.92  [302]
% 3.62/3.92  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.62/3.92  Current number of equations to process: 1273
% 3.62/3.92  Current number of ordered equations: 3
% 3.62/3.92  Current number of rules: 289
% 3.62/3.92  New rule produced :
% 3.62/3.92  [303]
% 3.62/3.92  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  Current number of equations to process: 1273
% 3.62/3.92  Current number of ordered equations: 2
% 3.62/3.92  Current number of rules: 290
% 3.62/3.92  New rule produced :
% 3.62/3.92  [304]
% 3.62/3.92  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.62/3.92  <->
% 3.62/3.92  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.62/3.92  Current number of equations to process: 1273
% 3.62/3.92  Current number of ordered equations: 1
% 3.62/3.92  Current number of rules: 291
% 3.62/3.92  New rule produced :
% 3.62/3.92  [305]
% 3.62/3.92  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.62/3.92  Current number of equations to process: 1273
% 3.62/3.92  Current number of ordered equations: 0
% 3.62/3.92  Current number of rules: 292
% 3.62/3.92  New rule produced :
% 3.62/3.92  [306]
% 3.62/3.92  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.62/3.92  Current number of equations to process: 1266
% 3.62/3.92  Current number of ordered equations: 5
% 3.62/3.92  Current number of rules: 293
% 3.62/3.92  New rule produced :
% 3.62/3.92  [307]
% 3.62/3.92  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.62/3.92  <->
% 3.62/3.92  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.62/3.92  Current number of equations to process: 1266
% 3.69/4.00  Current number of ordered equations: 4
% 3.69/4.00  Current number of rules: 294
% 3.69/4.00  New rule produced :
% 3.69/4.00  [308]
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.69/4.00  <->
% 3.69/4.00  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.69/4.00  Current number of equations to process: 1266
% 3.69/4.00  Current number of ordered equations: 3
% 3.69/4.00  Current number of rules: 295
% 3.69/4.00  New rule produced :
% 3.69/4.00  [309]
% 3.69/4.00  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.69/4.00  <->
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.69/4.00  Current number of equations to process: 1266
% 3.69/4.00  Current number of ordered equations: 2
% 3.69/4.00  Current number of rules: 296
% 3.69/4.00  New rule produced :
% 3.69/4.00  [310]
% 3.69/4.00  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.69/4.00  <->
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.69/4.00  Current number of equations to process: 1266
% 3.69/4.00  Current number of ordered equations: 1
% 3.69/4.00  Current number of rules: 297
% 3.69/4.00  New rule produced :
% 3.69/4.00  [311]
% 3.69/4.00  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.69/4.00  <->
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.69/4.00  Current number of equations to process: 1266
% 3.69/4.00  Current number of ordered equations: 0
% 3.69/4.00  Current number of rules: 298
% 3.69/4.00  New rule produced :
% 3.69/4.00  [312]
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.69/4.00  <->
% 3.69/4.00  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.69/4.00  Current number of equations to process: 1262
% 3.69/4.00  Current number of ordered equations: 1
% 3.69/4.00  Current number of rules: 299
% 3.69/4.00  New rule produced :
% 3.69/4.00  [313]
% 3.69/4.00  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.69/4.00  <->
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.69/4.00  Current number of equations to process: 1262
% 3.69/4.00  Current number of ordered equations: 0
% 3.69/4.00  Current number of rules: 300
% 3.69/4.00  New rule produced :
% 3.69/4.00  [314]
% 3.69/4.00  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.69/4.00  <->
% 3.69/4.00  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.69/4.00  Current number of equations to process: 1259
% 3.69/4.00  Current number of ordered equations: 1
% 3.69/4.00  Current number of rules: 301
% 3.69/4.00  New rule produced :
% 3.69/4.00  [315]
% 3.69/4.00  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.69/4.00  <->
% 3.69/4.00  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.69/4.00  Current number of equations to process: 1259
% 3.69/4.00  Current number of ordered equations: 0
% 3.69/4.00  Current number of rules: 302
% 3.69/4.00  New rule produced :
% 3.69/4.00  [316]
% 3.69/4.00  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.69/4.00  <->
% 3.69/4.00  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.69/4.00  Current number of equations to process: 1257
% 3.69/4.00  Current number of ordered equations: 1
% 3.69/4.00  Current number of rules: 303
% 3.69/4.00  New rule produced :
% 3.69/4.00  [317]
% 3.69/4.00  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.69/4.00  <->
% 3.69/4.00  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.69/4.00  Current number of equations to process: 1257
% 3.69/4.00  Current number of ordered equations: 0
% 3.69/4.00  Current number of rules: 304
% 3.69/4.00  New rule produced :
% 3.69/4.00  [318]
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.69/4.00  <->
% 3.69/4.00  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.69/4.00  Current number of equations to process: 1250
% 3.69/4.00  Current number of ordered equations: 3
% 3.69/4.00  Current number of rules: 305
% 3.69/4.00  New rule produced :
% 3.69/4.00  [319]
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.69/4.00  <->
% 3.69/4.00  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.69/4.00  Current number of equations to process: 1250
% 3.69/4.00  Current number of ordered equations: 2
% 3.69/4.00  Current number of rules: 306
% 3.69/4.00  New rule produced :
% 3.69/4.00  [320]
% 3.69/4.00  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.69/4.00  <->
% 3.69/4.00  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.69/4.00  Current number of equations to process: 1250
% 3.69/4.00  Current number of ordered equations: 1
% 3.69/4.00  Current number of rules: 307
% 3.69/4.00  New rule produced :
% 3.69/4.00  [321]
% 3.69/4.00  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.69/4.00  <->
% 4.59/4.88  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 4.59/4.88  Current number of equations to process: 1250
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 308
% 4.59/4.88  New rule produced :
% 4.59/4.88  [322]
% 4.59/4.88  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 4.59/4.88  <->
% 4.59/4.88  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 4.59/4.88  Current number of equations to process: 1246
% 4.59/4.88  Current number of ordered equations: 3
% 4.59/4.88  Current number of rules: 309
% 4.59/4.88  New rule produced :
% 4.59/4.88  [323]
% 4.59/4.88  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 4.59/4.88  <->
% 4.59/4.88  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 4.59/4.88  Current number of equations to process: 1246
% 4.59/4.88  Current number of ordered equations: 2
% 4.59/4.88  Current number of rules: 310
% 4.59/4.88  New rule produced :
% 4.59/4.88  [324]
% 4.59/4.88  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 4.59/4.88  <->
% 4.59/4.88  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 4.59/4.88  Current number of equations to process: 1246
% 4.59/4.88  Current number of ordered equations: 1
% 4.59/4.88  Current number of rules: 311
% 4.59/4.88  New rule produced :
% 4.59/4.88  [325]
% 4.59/4.88  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 4.59/4.88  <->
% 4.59/4.88  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 4.59/4.88  Current number of equations to process: 1246
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 312
% 4.59/4.88  New rule produced :
% 4.59/4.88  [326]
% 4.59/4.88  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 4.59/4.88  <->
% 4.59/4.88  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 4.59/4.88  Current number of equations to process: 1232
% 4.59/4.88  Current number of ordered equations: 1
% 4.59/4.88  Current number of rules: 313
% 4.59/4.88  New rule produced :
% 4.59/4.88  [327]
% 4.59/4.88  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 4.59/4.88  <->
% 4.59/4.88  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 4.59/4.88  Current number of equations to process: 1232
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 314
% 4.59/4.88  New rule produced :
% 4.59/4.88  [328]
% 4.59/4.88  multiplication(strong_iteration(A),B) addition multiplication(star(A),C) ->
% 4.59/4.88  multiplication(strong_iteration(A),B) addition multiplication(strong_iteration(A),C)
% 4.59/4.88  Rule
% 4.59/4.88  [63]
% 4.59/4.88  multiplication(strong_iteration(A),zero) addition multiplication(star(A),B)
% 4.59/4.88  -> multiplication(strong_iteration(A),B) collapsed.
% 4.59/4.88  Rule
% 4.59/4.88  [125]
% 4.59/4.88  multiplication(strong_iteration(A),B) addition multiplication(star(A),B) ->
% 4.59/4.88  multiplication(strong_iteration(A),B) collapsed.
% 4.59/4.88  Current number of equations to process: 1191
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 313
% 4.59/4.88  New rule produced :
% 4.59/4.88  [329]
% 4.59/4.88  ifeq3(multiplication(A,star(B)),A,leq(multiplication(A,star(B)),A),true) ->
% 4.59/4.88  true
% 4.59/4.88  Current number of equations to process: 1280
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 314
% 4.59/4.88  New rule produced :
% 4.59/4.88  [330]
% 4.59/4.88  ifeq3(multiplication(A,strong_iteration(B)),A,leq(multiplication(A,strong_iteration(B)),A),true)
% 4.59/4.88  -> true
% 4.59/4.88  Current number of equations to process: 1279
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 315
% 4.59/4.88  New rule produced :
% 4.59/4.88  [331]
% 4.59/4.88  ifeq3(multiplication(star(A),B),B,leq(multiplication(star(A),B),B),true) ->
% 4.59/4.88  true
% 4.59/4.88  Current number of equations to process: 1278
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 316
% 4.59/4.88  New rule produced :
% 4.59/4.88  [332]
% 4.59/4.88  ifeq3(multiplication(strong_iteration(A),B),B,leq(multiplication(strong_iteration(A),B),B),true)
% 4.59/4.88  -> true
% 4.59/4.88  Current number of equations to process: 1277
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 317
% 4.59/4.88  New rule produced :
% 4.59/4.88  [333]
% 4.59/4.88  ifeq2(leq(multiplication(A,star(B)),A),true,multiplication(A,star(B)),A) -> A
% 4.59/4.88  Current number of equations to process: 1369
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 318
% 4.59/4.88  New rule produced :
% 4.59/4.88  [334]
% 4.59/4.88  ifeq2(leq(multiplication(A,strong_iteration(B)),A),true,multiplication(A,
% 4.59/4.88                                                          strong_iteration(B)),A)
% 4.59/4.88  -> A
% 4.59/4.88  Current number of equations to process: 1368
% 4.59/4.88  Current number of ordered equations: 0
% 4.59/4.88  Current number of rules: 319
% 4.59/4.88  New rule produced :
% 4.59/4.88  [335]
% 4.59/4.88  ifeq2(leq(multiplication(star(A),B),B),true,multiplication(star(A),B),B) -> B
% 4.73/5.06  Current number of equations to process: 1367
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 320
% 4.73/5.06  New rule produced :
% 4.73/5.06  [336]
% 4.73/5.06  ifeq2(leq(multiplication(strong_iteration(A),B),B),true,multiplication(
% 4.73/5.06                                                          strong_iteration(A),B),B)
% 4.73/5.06  -> B
% 4.73/5.06  Current number of equations to process: 1366
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 321
% 4.73/5.06  New rule produced :
% 4.73/5.06  [337]
% 4.73/5.06  star(A) addition multiplication(A,multiplication(strong_iteration(A),zero))
% 4.73/5.06  -> strong_iteration(A)
% 4.73/5.06  Current number of equations to process: 1374
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 322
% 4.73/5.06  New rule produced :
% 4.73/5.06  [338]
% 4.73/5.06  multiplication(multiplication(A,strong_iteration(B)),zero) addition multiplication(A,
% 4.73/5.06                                                                      star(B))
% 4.73/5.06  -> multiplication(A,strong_iteration(B))
% 4.73/5.06  Current number of equations to process: 1400
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 323
% 4.73/5.06  New rule produced :
% 4.73/5.06  [339]
% 4.73/5.06  strong_iteration(A) addition multiplication(star(A),multiplication(B,star(B)))
% 4.73/5.06  -> strong_iteration(A) addition multiplication(star(A),star(B))
% 4.73/5.06  Current number of equations to process: 1395
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 324
% 4.73/5.06  New rule produced :
% 4.73/5.06  [340]
% 4.73/5.06  strong_iteration(A) addition multiplication(star(A),multiplication(star(B),B))
% 4.73/5.06  -> strong_iteration(A) addition multiplication(star(A),star(B))
% 4.73/5.06  Current number of equations to process: 1394
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 325
% 4.73/5.06  New rule produced :
% 4.73/5.06  [341]
% 4.73/5.06  strong_iteration(A) addition multiplication(star(A),multiplication(B,
% 4.73/5.06                                                      strong_iteration(B))) ->
% 4.73/5.06  strong_iteration(A) addition multiplication(star(A),strong_iteration(B))
% 4.73/5.06  Current number of equations to process: 1393
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 326
% 4.73/5.06  New rule produced :
% 4.73/5.06  [342]
% 4.73/5.06  strong_iteration(A) addition multiplication(multiplication(B,star(B)),
% 4.73/5.06                               star(A)) ->
% 4.73/5.06  strong_iteration(A) addition multiplication(star(B),star(A))
% 4.73/5.06  Current number of equations to process: 1392
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 327
% 4.73/5.06  New rule produced :
% 4.73/5.06  [343]
% 4.73/5.06  strong_iteration(A) addition multiplication(multiplication(star(B),B),
% 4.73/5.06                               star(A)) ->
% 4.73/5.06  strong_iteration(A) addition multiplication(star(B),star(A))
% 4.73/5.06  Current number of equations to process: 1391
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 328
% 4.73/5.06  New rule produced :
% 4.73/5.06  [344]
% 4.73/5.06  strong_iteration(A) addition multiplication(multiplication(B,strong_iteration(B)),
% 4.73/5.06                               star(A)) ->
% 4.73/5.06  strong_iteration(A) addition multiplication(strong_iteration(B),star(A))
% 4.73/5.06  Current number of equations to process: 1390
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 329
% 4.73/5.06  New rule produced :
% 4.73/5.06  [345]
% 4.73/5.06  multiplication(star(A),star(B)) addition multiplication(star(C),C) ->
% 4.73/5.06  star(C) addition multiplication(star(A),star(B))
% 4.73/5.06  Rule
% 4.73/5.06  [173]
% 4.73/5.06  multiplication(star(A),star(B)) addition multiplication(star(A),A) ->
% 4.73/5.06  multiplication(star(A),star(B)) collapsed.
% 4.73/5.06  Rule
% 4.73/5.06  [203]
% 4.73/5.06  multiplication(star(A),star(B)) addition multiplication(star(B),B) ->
% 4.73/5.06  multiplication(star(A),star(B)) collapsed.
% 4.73/5.06  Current number of equations to process: 1389
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 328
% 4.73/5.06  New rule produced :
% 4.73/5.06  [346]
% 4.73/5.06  multiplication(star(A),strong_iteration(B)) addition multiplication(star(C),C)
% 4.73/5.06  -> star(C) addition multiplication(star(A),strong_iteration(B))
% 4.73/5.06  Rule
% 4.73/5.06  [190]
% 4.73/5.06  multiplication(star(A),strong_iteration(B)) addition multiplication(star(A),A)
% 4.73/5.06  -> multiplication(star(A),strong_iteration(B)) collapsed.
% 4.73/5.06  Current number of equations to process: 1388
% 4.73/5.06  Current number of ordered equations: 0
% 4.73/5.06  Current number of rules: 328
% 4.73/5.06  New rule produced :
% 4.73/5.06  [347]
% 4.73/5.06  multiplication(strong_iteration(A),star(B)) addition multiplication(star(C),C)
% 4.73/5.06  -> star(C) addition multiplication(strong_iteration(A),star(B))
% 4.73/5.06  Rule
% 4.73/5.06  [220]
% 4.73/5.06  multiplication(strong_iteration(A),star(B)) addition multiplication(star(B),B)
% 4.73/5.06  -> multiplication(strong_iteration(A),star(B)) collapsed.
% 4.87/5.12  Current number of equations to process: 1386
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 328
% 4.87/5.12  New rule produced :
% 4.87/5.12  [348]
% 4.87/5.12  multiplication(strong_iteration(A),star(B)) addition multiplication(C,
% 4.87/5.12                                                       star(C)) ->
% 4.87/5.12  star(C) addition multiplication(strong_iteration(A),star(B))
% 4.87/5.12  Current number of equations to process: 1382
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 329
% 4.87/5.12  New rule produced :
% 4.87/5.12  [349]
% 4.87/5.12  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(C,
% 4.87/5.12                                                                   star(C)) ->
% 4.87/5.12  star(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 4.87/5.12  Current number of equations to process: 1381
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 330
% 4.87/5.12  New rule produced :
% 4.87/5.12  [350]
% 4.87/5.12  multiplication(star(A),strong_iteration(B)) addition multiplication(C,
% 4.87/5.12                                                       star(C)) ->
% 4.87/5.12  star(C) addition multiplication(star(A),strong_iteration(B))
% 4.87/5.12  Current number of equations to process: 1380
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 331
% 4.87/5.12  New rule produced :
% 4.87/5.12  [351]
% 4.87/5.12  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 4.87/5.12                                                                   star(C),C)
% 4.87/5.12  -> star(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 4.87/5.12  Current number of equations to process: 1377
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 332
% 4.87/5.12  New rule produced :
% 4.87/5.12  [352]
% 4.87/5.12  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.87/5.12                                                                   star(A),B),C)
% 4.87/5.12  <-> multiplication(strong_iteration(A),multiplication(B,C))
% 4.87/5.12  Current number of equations to process: 1372
% 4.87/5.12  Current number of ordered equations: 1
% 4.87/5.12  Current number of rules: 333
% 4.87/5.12  New rule produced :
% 4.87/5.12  [353]
% 4.87/5.12  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 4.87/5.12  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.87/5.12                                                                   star(A),B),C)
% 4.87/5.12  Current number of equations to process: 1372
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 334
% 4.87/5.12  Rule [353]
% 4.87/5.12       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 4.87/5.12       multiplication(strong_iteration(A),zero) addition multiplication(
% 4.87/5.12                                                         multiplication(
% 4.87/5.12                                                         star(A),B),C) is composed into 
% 4.87/5.12  [353]
% 4.87/5.12  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 4.87/5.12  multiplication(multiplication(strong_iteration(A),B),C)
% 4.87/5.12  New rule produced :
% 4.87/5.12  [354]
% 4.87/5.12  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.87/5.12                                                                   star(A),B),C)
% 4.87/5.12  -> multiplication(multiplication(strong_iteration(A),B),C)
% 4.87/5.12  Rule
% 4.87/5.12  [352]
% 4.87/5.12  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.87/5.12                                                                   star(A),B),C)
% 4.87/5.12  <-> multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 4.87/5.12  Current number of equations to process: 1371
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 334
% 4.87/5.12  New rule produced :
% 4.87/5.12  [355]
% 4.87/5.12  ifeq3(star(A) addition B,star(A),leq(one addition B,star(A)),true) -> true
% 4.87/5.12  Current number of equations to process: 1370
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 335
% 4.87/5.12  New rule produced :
% 4.87/5.12  [356]
% 4.87/5.12  ifeq3(strong_iteration(A) addition B,strong_iteration(A),leq(one addition B,
% 4.87/5.12                                                           strong_iteration(A)),true)
% 4.87/5.12  -> true
% 4.87/5.12  Current number of equations to process: 1369
% 4.87/5.12  Current number of ordered equations: 0
% 4.87/5.12  Current number of rules: 336
% 4.87/5.12  New rule produced :
% 4.87/5.12  [357]
% 4.87/5.12  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 4.87/5.12  <-> multiplication(A,multiplication(multiplication(B,C),V_3))
% 4.87/5.12  Current number of equations to process: 1364
% 4.87/5.12  Current number of ordered equations: 1
% 5.27/5.53  Current number of rules: 337
% 5.27/5.53  New rule produced :
% 5.27/5.53  [358]
% 5.27/5.53  multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 5.27/5.53  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 5.27/5.53  Current number of equations to process: 1364
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 338
% 5.27/5.53  New rule produced :
% 5.27/5.53  [359]
% 5.27/5.53  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 5.27/5.53  <-> multiplication(A,multiplication(B,multiplication(C,V_3)))
% 5.27/5.53  Current number of equations to process: 1363
% 5.27/5.53  Current number of ordered equations: 1
% 5.27/5.53  Current number of rules: 339
% 5.27/5.53  New rule produced :
% 5.27/5.53  [360]
% 5.27/5.53  multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 5.27/5.53  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 5.27/5.53  Current number of equations to process: 1363
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 340
% 5.27/5.53  New rule produced :
% 5.27/5.53  [361]
% 5.27/5.53  leq(multiplication(A,star(B)),multiplication(A,strong_iteration(B))) -> true
% 5.27/5.53  Current number of equations to process: 1376
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 341
% 5.27/5.53  New rule produced :
% 5.27/5.53  [362]
% 5.27/5.53  leq(multiplication(A,star(B)),multiplication(A,strong_iteration(B)) addition C)
% 5.27/5.53  -> true
% 5.27/5.53  Current number of equations to process: 1404
% 5.27/5.53  Current number of ordered equations: 1
% 5.27/5.53  Current number of rules: 342
% 5.27/5.53  New rule produced :
% 5.27/5.53  [363]
% 5.27/5.53  leq(multiplication(A,multiplication(strong_iteration(B),zero)),multiplication(A,
% 5.27/5.53                                                                 strong_iteration(B)))
% 5.27/5.53  -> true
% 5.27/5.53  Current number of equations to process: 1404
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 343
% 5.27/5.53  New rule produced :
% 5.27/5.53  [364]
% 5.27/5.53  leq(multiplication(A,multiplication(strong_iteration(B),zero)),multiplication(A,
% 5.27/5.53                                                                 strong_iteration(B)) addition C)
% 5.27/5.53  -> true
% 5.27/5.53  Current number of equations to process: 1440
% 5.27/5.53  Current number of ordered equations: 1
% 5.27/5.53  Current number of rules: 344
% 5.27/5.53  New rule produced :
% 5.27/5.53  [365]
% 5.27/5.53  leq(multiplication(A,star(B)) addition C,multiplication(A,strong_iteration(B)) addition C)
% 5.27/5.53  -> true
% 5.27/5.53  Current number of equations to process: 1440
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 345
% 5.27/5.53  New rule produced :
% 5.27/5.53  [366]
% 5.27/5.53  ifeq2(leq(one addition A,star(B)),true,star(B) addition A,star(B)) -> star(B)
% 5.27/5.53  Current number of equations to process: 1439
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 346
% 5.27/5.53  New rule produced :
% 5.27/5.53  [367]
% 5.27/5.53  ifeq2(leq(one addition A,strong_iteration(B)),true,strong_iteration(B) addition A,
% 5.27/5.53  strong_iteration(B)) -> strong_iteration(B)
% 5.27/5.53  Current number of equations to process: 1438
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 347
% 5.27/5.53  New rule produced :
% 5.27/5.53  [368]
% 5.27/5.53  multiplication(multiplication(A,B),star(C)) <->
% 5.27/5.53  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.27/5.53  multiplication(A,B)
% 5.27/5.53  Current number of equations to process: 1437
% 5.27/5.53  Current number of ordered equations: 1
% 5.27/5.53  Current number of rules: 348
% 5.27/5.53  New rule produced :
% 5.27/5.53  [369]
% 5.27/5.53  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.27/5.53  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.27/5.53  Current number of equations to process: 1437
% 5.27/5.53  Current number of ordered equations: 0
% 5.27/5.53  Current number of rules: 349
% 5.27/5.53  Rule [368]
% 5.27/5.53       multiplication(multiplication(A,B),star(C)) <->
% 5.27/5.53       multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.27/5.53       multiplication(A,B) is composed into [368]
% 5.27/5.53                                            multiplication(multiplication(A,B),
% 5.27/5.53                                            star(C)) <->
% 5.27/5.53                                            multiplication(A,multiplication(B,
% 5.27/5.53                                                             star(C)))
% 5.27/5.53  New rule produced :
% 5.27/5.53  [370]
% 5.27/5.53  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.27/5.53  multiplication(A,B) -> multiplication(A,multiplication(B,star(C)))
% 5.27/5.53  Rule
% 5.27/5.53  [369]
% 5.27/5.53  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.27/5.53  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.27/5.53  collapsed.
% 5.27/5.53  Current number of equations to process: 1436
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 349
% 5.27/5.59  New rule produced :
% 5.27/5.59  [371]
% 5.27/5.59  multiplication(multiplication(A,multiplication(B,star(B))),C) addition 
% 5.27/5.59  multiplication(A,C) -> multiplication(multiplication(A,star(B)),C)
% 5.27/5.59  Current number of equations to process: 1435
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 350
% 5.27/5.59  New rule produced :
% 5.27/5.59  [372]
% 5.27/5.59  multiplication(multiplication(A,B),star(C)) <->
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.27/5.59  multiplication(A,B)
% 5.27/5.59  Current number of equations to process: 1434
% 5.27/5.59  Current number of ordered equations: 1
% 5.27/5.59  Current number of rules: 351
% 5.27/5.59  New rule produced :
% 5.27/5.59  [373]
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.27/5.59  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.27/5.59  Current number of equations to process: 1434
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 352
% 5.27/5.59  Rule [372]
% 5.27/5.59       multiplication(multiplication(A,B),star(C)) <->
% 5.27/5.59       multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.27/5.59       multiplication(A,B) is composed into [372]
% 5.27/5.59                                            multiplication(multiplication(A,B),
% 5.27/5.59                                            star(C)) <->
% 5.27/5.59                                            multiplication(A,multiplication(B,
% 5.27/5.59                                                             star(C)))
% 5.27/5.59  New rule produced :
% 5.27/5.59  [374]
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.27/5.59  multiplication(A,B) -> multiplication(A,multiplication(B,star(C)))
% 5.27/5.59  Rule
% 5.27/5.59  [373]
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.27/5.59  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.27/5.59  collapsed.
% 5.27/5.59  Current number of equations to process: 1433
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 352
% 5.27/5.59  New rule produced :
% 5.27/5.59  [375]
% 5.27/5.59  multiplication(multiplication(A,multiplication(star(B),B)),C) addition 
% 5.27/5.59  multiplication(A,C) -> multiplication(multiplication(A,star(B)),C)
% 5.27/5.59  Current number of equations to process: 1432
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 353
% 5.27/5.59  New rule produced :
% 5.27/5.59  [376]
% 5.27/5.59  multiplication(multiplication(A,B),strong_iteration(C)) <->
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.27/5.59  multiplication(A,B)
% 5.27/5.59  Current number of equations to process: 1431
% 5.27/5.59  Current number of ordered equations: 1
% 5.27/5.59  Current number of rules: 354
% 5.27/5.59  New rule produced :
% 5.27/5.59  [377]
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.27/5.59  multiplication(A,B) <->
% 5.27/5.59  multiplication(multiplication(A,B),strong_iteration(C))
% 5.27/5.59  Current number of equations to process: 1431
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 355
% 5.27/5.59  Rule [376]
% 5.27/5.59       multiplication(multiplication(A,B),strong_iteration(C)) <->
% 5.27/5.59       multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.27/5.59       multiplication(A,B) is composed into [376]
% 5.27/5.59                                            multiplication(multiplication(A,B),
% 5.27/5.59                                            strong_iteration(C)) <->
% 5.27/5.59                                            multiplication(A,multiplication(B,
% 5.27/5.59                                                             strong_iteration(C)))
% 5.27/5.59  New rule produced :
% 5.27/5.59  [378]
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.27/5.59  multiplication(A,B) ->
% 5.27/5.59  multiplication(A,multiplication(B,strong_iteration(C)))
% 5.27/5.59  Rule
% 5.27/5.59  [377]
% 5.27/5.59  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.27/5.59  multiplication(A,B) <->
% 5.27/5.59  multiplication(multiplication(A,B),strong_iteration(C)) collapsed.
% 5.27/5.59  Current number of equations to process: 1430
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 355
% 5.27/5.59  New rule produced :
% 5.27/5.59  [379]
% 5.27/5.59  multiplication(multiplication(A,multiplication(B,strong_iteration(B))),C) addition 
% 5.27/5.59  multiplication(A,C) ->
% 5.27/5.59  multiplication(multiplication(A,strong_iteration(B)),C)
% 5.27/5.59  Current number of equations to process: 1429
% 5.27/5.59  Current number of ordered equations: 0
% 5.27/5.59  Current number of rules: 356
% 5.27/5.59  New rule produced :
% 5.27/5.59  [380]
% 5.27/5.59  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.34/5.64  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.34/5.64  Current number of equations to process: 1428
% 5.34/5.64  Current number of ordered equations: 1
% 5.34/5.64  Current number of rules: 357
% 5.34/5.64  New rule produced :
% 5.34/5.64  [381]
% 5.34/5.64  multiplication(star(A),multiplication(B,C)) <->
% 5.34/5.64  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.34/5.64  multiplication(B,C)
% 5.34/5.64  Current number of equations to process: 1428
% 5.34/5.64  Current number of ordered equations: 0
% 5.34/5.64  Current number of rules: 358
% 5.34/5.64  New rule produced :
% 5.34/5.64  [382]
% 5.34/5.64  multiplication(A,multiplication(multiplication(B,star(B)),C)) addition 
% 5.34/5.64  multiplication(A,C) -> multiplication(A,multiplication(star(B),C))
% 5.34/5.64  Current number of equations to process: 1427
% 5.34/5.64  Current number of ordered equations: 0
% 5.34/5.64  Current number of rules: 359
% 5.34/5.64  Rule [381]
% 5.34/5.64       multiplication(star(A),multiplication(B,C)) <->
% 5.34/5.64       multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.34/5.64       multiplication(B,C) is composed into [381]
% 5.34/5.64                                            multiplication(star(A),multiplication(B,C))
% 5.34/5.64                                            <->
% 5.34/5.64                                            multiplication(multiplication(
% 5.34/5.64                                                           star(A),B),C)
% 5.34/5.64  New rule produced :
% 5.34/5.64  [383]
% 5.34/5.64  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.34/5.64  multiplication(B,C) -> multiplication(multiplication(star(A),B),C)
% 5.34/5.64  Rule
% 5.34/5.64  [380]
% 5.34/5.64  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.34/5.64  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.34/5.64  collapsed.
% 5.34/5.64  Current number of equations to process: 1426
% 5.34/5.64  Current number of ordered equations: 0
% 5.34/5.64  Current number of rules: 359
% 5.34/5.64  New rule produced :
% 5.34/5.64  [384]
% 5.34/5.64  multiplication(star(A),multiplication(B,C)) <->
% 5.34/5.64  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.34/5.64  multiplication(B,C)
% 5.34/5.64  Current number of equations to process: 1425
% 5.34/5.64  Current number of ordered equations: 1
% 5.34/5.64  Current number of rules: 360
% 5.34/5.64  New rule produced :
% 5.34/5.64  [385]
% 5.34/5.64  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.34/5.64  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.34/5.64  Current number of equations to process: 1425
% 5.34/5.64  Current number of ordered equations: 0
% 5.34/5.64  Current number of rules: 361
% 5.34/5.64  New rule produced :
% 5.34/5.64  [386]
% 5.34/5.64  multiplication(A,multiplication(multiplication(star(B),B),C)) addition 
% 5.34/5.64  multiplication(A,C) -> multiplication(A,multiplication(star(B),C))
% 5.34/5.64  Current number of equations to process: 1424
% 5.34/5.64  Current number of ordered equations: 0
% 5.34/5.64  Current number of rules: 362
% 5.34/5.64  Rule [384]
% 5.34/5.64       multiplication(star(A),multiplication(B,C)) <->
% 5.34/5.64       multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.34/5.64       multiplication(B,C) is composed into [384]
% 5.34/5.64                                            multiplication(star(A),multiplication(B,C))
% 5.34/5.64                                            <->
% 5.34/5.64                                            multiplication(multiplication(
% 5.34/5.64                                                           star(A),B),C)
% 5.34/5.64  New rule produced :
% 5.34/5.64  [387]
% 5.34/5.64  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.34/5.64  multiplication(B,C) -> multiplication(multiplication(star(A),B),C)
% 5.34/5.64  Rule
% 5.34/5.64  [385]
% 5.34/5.64  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.34/5.64  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.34/5.64  collapsed.
% 5.34/5.64  Current number of equations to process: 1423
% 5.34/5.64  Current number of ordered equations: 0
% 5.34/5.64  Current number of rules: 362
% 5.34/5.64  New rule produced :
% 5.34/5.64  [388]
% 5.34/5.64  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 5.34/5.64  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.34/5.64  multiplication(B,C)
% 5.34/5.64  Current number of equations to process: 1422
% 5.34/5.64  Current number of ordered equations: 1
% 5.34/5.64  Current number of rules: 363
% 5.34/5.64  New rule produced :
% 5.34/5.64  [389]
% 5.34/5.64  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.34/5.64  multiplication(B,C) <->
% 5.34/5.64  multiplication(strong_iteration(A),multiplication(B,C))
% 5.34/5.64  Current number of equations to process: 1422
% 5.34/5.64  Current number of ordered equations: 0
% 5.34/5.64  Current number of rules: 364
% 5.34/5.64  New rule produced :
% 5.34/5.64  [390]
% 5.34/5.64  multiplication(A,multiplication(multiplication(B,strong_iteration(B)),C)) addition 
% 5.45/5.71  multiplication(A,C) ->
% 5.45/5.71  multiplication(A,multiplication(strong_iteration(B),C))
% 5.45/5.71  Current number of equations to process: 1421
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 365
% 5.45/5.71  Rule [388]
% 5.45/5.71       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 5.45/5.71       multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.45/5.71       multiplication(B,C) is composed into [388]
% 5.45/5.71                                            multiplication(strong_iteration(A),
% 5.45/5.71                                            multiplication(B,C)) <->
% 5.45/5.71                                            multiplication(multiplication(
% 5.45/5.71                                                           strong_iteration(A),B),C)
% 5.45/5.71  New rule produced :
% 5.45/5.71  [391]
% 5.45/5.71  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.45/5.71  multiplication(B,C) ->
% 5.45/5.71  multiplication(multiplication(strong_iteration(A),B),C)
% 5.45/5.71  Rule
% 5.45/5.71  [389]
% 5.45/5.71  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.45/5.71  multiplication(B,C) <->
% 5.45/5.71  multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 5.45/5.71  Current number of equations to process: 1420
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 365
% 5.45/5.71  New rule produced :
% 5.45/5.71  [392]
% 5.45/5.71  multiplication(multiplication(A,B),multiplication(C,star(multiplication(B,C)))) addition A
% 5.45/5.71  -> multiplication(A,star(multiplication(B,C)))
% 5.45/5.71  Current number of equations to process: 1419
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 366
% 5.45/5.71  New rule produced :
% 5.45/5.71  [393]
% 5.45/5.71  multiplication(multiplication(A,B),multiplication(C,strong_iteration(
% 5.45/5.71                                                      multiplication(B,C)))) addition A
% 5.45/5.71  -> multiplication(A,strong_iteration(multiplication(B,C)))
% 5.45/5.71  Current number of equations to process: 1418
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 367
% 5.45/5.71  New rule produced :
% 5.45/5.71  [394]
% 5.45/5.71  multiplication(multiplication(A,B),star(C)) <->
% 5.45/5.71  multiplication(A,multiplication(multiplication(B,C),star(C))) addition 
% 5.45/5.71  multiplication(A,B)
% 5.45/5.71  Current number of equations to process: 1417
% 5.45/5.71  Current number of ordered equations: 1
% 5.45/5.71  Current number of rules: 368
% 5.45/5.71  New rule produced :
% 5.45/5.71  [395]
% 5.45/5.71  multiplication(A,multiplication(multiplication(B,C),star(C))) addition 
% 5.45/5.71  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.45/5.71  Current number of equations to process: 1417
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 369
% 5.45/5.71  New rule produced :
% 5.45/5.71  [396]
% 5.45/5.71  multiplication(multiplication(A,B),star(C)) <->
% 5.45/5.71  multiplication(A,multiplication(multiplication(B,star(C)),C)) addition 
% 5.45/5.71  multiplication(A,B)
% 5.45/5.71  Current number of equations to process: 1416
% 5.45/5.71  Current number of ordered equations: 1
% 5.45/5.71  Current number of rules: 370
% 5.45/5.71  New rule produced :
% 5.45/5.71  [397]
% 5.45/5.71  multiplication(A,multiplication(multiplication(B,star(C)),C)) addition 
% 5.45/5.71  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.45/5.71  Current number of equations to process: 1416
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 371
% 5.45/5.71  New rule produced :
% 5.45/5.71  [398]
% 5.45/5.71  multiplication(A,multiplication(multiplication(B,C),strong_iteration(C))) addition 
% 5.45/5.71  multiplication(A,B) <->
% 5.45/5.71  multiplication(multiplication(A,B),strong_iteration(C))
% 5.45/5.71  Current number of equations to process: 1415
% 5.45/5.71  Current number of ordered equations: 1
% 5.45/5.71  Current number of rules: 372
% 5.45/5.71  New rule produced :
% 5.45/5.71  [399]
% 5.45/5.71  multiplication(multiplication(A,B),strong_iteration(C)) <->
% 5.45/5.71  multiplication(A,multiplication(multiplication(B,C),strong_iteration(C))) addition 
% 5.45/5.71  multiplication(A,B)
% 5.45/5.71  Current number of equations to process: 1415
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 373
% 5.45/5.71  New rule produced :
% 5.45/5.71  [400]
% 5.45/5.71  multiplication(multiplication(star(multiplication(A,B)),A),multiplication(B,C)) addition C
% 5.45/5.71  -> multiplication(star(multiplication(A,B)),C)
% 5.45/5.71  Current number of equations to process: 1414
% 5.45/5.71  Current number of ordered equations: 0
% 5.45/5.71  Current number of rules: 374
% 5.45/5.71  New rule produced :
% 5.45/5.71  [401]
% 5.45/5.71  multiplication(multiplication(A,multiplication(star(A),B)),C) addition 
% 5.45/5.71  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.45/5.71  Current number of equations to process: 1413
% 5.45/5.71  Current number of ordered equations: 1
% 5.45/5.71  Current number of rules: 375
% 5.57/5.87  New rule produced :
% 5.57/5.87  [402]
% 5.57/5.87  multiplication(star(A),multiplication(B,C)) <->
% 5.57/5.87  multiplication(multiplication(A,multiplication(star(A),B)),C) addition 
% 5.57/5.87  multiplication(B,C)
% 5.57/5.87  Current number of equations to process: 1413
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 376
% 5.57/5.87  New rule produced :
% 5.57/5.87  [403]
% 5.57/5.87  multiplication(star(A),multiplication(B,C)) <->
% 5.57/5.87  multiplication(multiplication(star(A),multiplication(A,B)),C) addition 
% 5.57/5.87  multiplication(B,C)
% 5.57/5.87  Current number of equations to process: 1412
% 5.57/5.87  Current number of ordered equations: 1
% 5.57/5.87  Current number of rules: 377
% 5.57/5.87  New rule produced :
% 5.57/5.87  [404]
% 5.57/5.87  multiplication(multiplication(star(A),multiplication(A,B)),C) addition 
% 5.57/5.87  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.57/5.87  Current number of equations to process: 1412
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 378
% 5.57/5.87  New rule produced :
% 5.57/5.87  [405]
% 5.57/5.87  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 5.57/5.87  multiplication(multiplication(A,multiplication(strong_iteration(A),B)),C) addition 
% 5.57/5.87  multiplication(B,C)
% 5.57/5.87  Current number of equations to process: 1411
% 5.57/5.87  Current number of ordered equations: 1
% 5.57/5.87  Current number of rules: 379
% 5.57/5.87  New rule produced :
% 5.57/5.87  [406]
% 5.57/5.87  multiplication(multiplication(A,multiplication(strong_iteration(A),B)),C) addition 
% 5.57/5.87  multiplication(B,C) <->
% 5.57/5.87  multiplication(strong_iteration(A),multiplication(B,C))
% 5.57/5.87  Current number of equations to process: 1411
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 380
% 5.57/5.87  New rule produced :
% 5.57/5.87  [407]
% 5.57/5.87  multiplication(multiplication(multiplication(A,B),C),star(multiplication(B,C))) addition A
% 5.57/5.87  -> multiplication(A,star(multiplication(B,C)))
% 5.57/5.87  Current number of equations to process: 1410
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 381
% 5.57/5.87  New rule produced :
% 5.57/5.87  [408]
% 5.57/5.87  multiplication(multiplication(multiplication(A,B),C),strong_iteration(
% 5.57/5.87                                                       multiplication(B,C))) addition A
% 5.57/5.87  -> multiplication(A,strong_iteration(multiplication(B,C)))
% 5.57/5.87  Current number of equations to process: 1409
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 382
% 5.57/5.87  New rule produced :
% 5.57/5.87  [409]
% 5.57/5.87  multiplication(star(multiplication(A,B)),multiplication(A,multiplication(B,C))) addition C
% 5.57/5.87  -> multiplication(star(multiplication(A,B)),C)
% 5.57/5.87  Current number of equations to process: 1408
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 383
% 5.57/5.87  New rule produced :
% 5.57/5.87  [410]
% 5.57/5.87  star(star(A)) addition multiplication(star(star(A)),multiplication(strong_iteration(A),zero))
% 5.57/5.87  -> multiplication(star(star(A)),strong_iteration(A))
% 5.57/5.87  Current number of equations to process: 1407
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 384
% 5.57/5.87  New rule produced :
% 5.57/5.87  [411]
% 5.57/5.87  ifeq3(star(A) addition B,one addition B,leq(star(A),one addition B),true) ->
% 5.57/5.87  true
% 5.57/5.87  Current number of equations to process: 1416
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 385
% 5.57/5.87  New rule produced :
% 5.57/5.87  [412]
% 5.57/5.87  ifeq3(strong_iteration(A) addition B,one addition B,leq(strong_iteration(A),
% 5.57/5.87                                                      one addition B),true) ->
% 5.57/5.87  true
% 5.57/5.87  Current number of equations to process: 1415
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 386
% 5.57/5.87  New rule produced :
% 5.57/5.87  [413]
% 5.57/5.87  ifeq3(strong_iteration(A) addition B,star(A),leq(strong_iteration(A) addition B,
% 5.57/5.87                                               star(A)),true) -> true
% 5.57/5.87  Current number of equations to process: 1413
% 5.57/5.87  Current number of ordered equations: 1
% 5.57/5.87  Current number of rules: 387
% 5.57/5.87  New rule produced :
% 5.57/5.87  [414]
% 5.57/5.87  ifeq3(strong_iteration(A) addition B,strong_iteration(A),leq(star(A) addition B,
% 5.57/5.87                                                           strong_iteration(A)),true)
% 5.57/5.87  -> true
% 5.57/5.87  Current number of equations to process: 1413
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 388
% 5.57/5.87  New rule produced :
% 5.57/5.87  [415]
% 5.57/5.87  ifeq3(star(A),multiplication(star(A),A),leq(star(A),multiplication(star(A),A)),true)
% 5.57/5.87  -> true
% 5.57/5.87  Current number of equations to process: 1412
% 5.57/5.87  Current number of ordered equations: 0
% 5.57/5.87  Current number of rules: 389
% 5.57/5.87  New rule produced :
% 5.57/5.87  [416]
% 5.57/5.87  ifeq(leq(star(A),A),true,leq(multiplication(star(star(A)),star(A)),A),true)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1411
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 390
% 5.65/5.94  New rule produced :
% 5.65/5.94  [417]
% 5.65/5.94  ifeq(leq(A,star(A)),true,leq(A,multiplication(strong_iteration(star(A)),
% 5.65/5.94                                 star(A))),true) -> true
% 5.65/5.94  Current number of equations to process: 1410
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 391
% 5.65/5.94  New rule produced :
% 5.65/5.94  [418]
% 5.65/5.94  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),zero),leq(
% 5.65/5.94                                                                     strong_iteration(A),
% 5.65/5.94                                                                     multiplication(
% 5.65/5.94                                                                     strong_iteration(A),zero)),true)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1409
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 392
% 5.65/5.94  New rule produced :
% 5.65/5.94  [419]
% 5.65/5.94  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(strong_iteration(A)),
% 5.65/5.94                                              strong_iteration(A)),zero),true)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1408
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 393
% 5.65/5.94  New rule produced :
% 5.65/5.94  [420]
% 5.65/5.94  ifeq3(multiplication(A,B),multiplication(A,zero),leq(multiplication(A,B),
% 5.65/5.94                                                   multiplication(A,zero)),true)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1407
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 394
% 5.65/5.94  New rule produced :
% 5.65/5.94  [421]
% 5.65/5.94  ifeq3(multiplication(A,star(B)),A,leq(multiplication(A,multiplication(B,
% 5.65/5.94                                                         star(B))),A),true) ->
% 5.65/5.94  true
% 5.65/5.94  Current number of equations to process: 1405
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 395
% 5.65/5.94  New rule produced :
% 5.65/5.94  [422]
% 5.65/5.94  ifeq2(leq(multiplication(A,multiplication(B,star(B))),A),true,multiplication(A,
% 5.65/5.94                                                                star(B)),A) ->
% 5.65/5.94  A
% 5.65/5.94  Current number of equations to process: 1404
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 396
% 5.65/5.94  New rule produced :
% 5.65/5.94  [423]
% 5.65/5.94  leq(multiplication(A,multiplication(B,star(B))) addition C,multiplication(A,
% 5.65/5.94                                                             star(B)) addition C)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1402
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 397
% 5.65/5.94  New rule produced :
% 5.65/5.94  [424]
% 5.65/5.94  ifeq3(multiplication(A,star(B)),A,leq(multiplication(A,multiplication(
% 5.65/5.94                                                         star(B),B)),A),true)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1401
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 398
% 5.65/5.94  New rule produced :
% 5.65/5.94  [425]
% 5.65/5.94  ifeq2(leq(multiplication(A,multiplication(star(B),B)),A),true,multiplication(A,
% 5.65/5.94                                                                star(B)),A) ->
% 5.65/5.94  A
% 5.65/5.94  Current number of equations to process: 1400
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 399
% 5.65/5.94  New rule produced :
% 5.65/5.94  [426]
% 5.65/5.94  leq(multiplication(A,multiplication(star(B),B)) addition C,multiplication(A,
% 5.65/5.94                                                             star(B)) addition C)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1399
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 400
% 5.65/5.94  New rule produced :
% 5.65/5.94  [427]
% 5.65/5.94  ifeq3(multiplication(A,strong_iteration(B)),A,leq(multiplication(A,multiplication(B,
% 5.65/5.94                                                                     strong_iteration(B))),A),true)
% 5.65/5.94  -> true
% 5.65/5.94  Current number of equations to process: 1397
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 401
% 5.65/5.94  New rule produced :
% 5.65/5.94  [428]
% 5.65/5.94  ifeq2(leq(multiplication(A,multiplication(B,strong_iteration(B))),A),true,
% 5.65/5.94  multiplication(A,strong_iteration(B)),A) -> A
% 5.65/5.94  Current number of equations to process: 1396
% 5.65/5.94  Current number of ordered equations: 0
% 5.65/5.94  Current number of rules: 402
% 5.65/5.94  New rule produced :
% 5.65/5.94  [429]
% 5.65/5.94  leq(multiplication(A,multiplication(B,strong_iteration(B))) addition C,
% 5.65/5.94  multiplication(A,strong_iteration(B)) addition C) -> true
% 5.65/5.94  Current number of equations to process: 1394
% 5.65/5.94  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 403
% 5.77/6.02  New rule produced :
% 5.77/6.02  [430]
% 5.77/6.02  ifeq3(multiplication(star(A),B),B,leq(multiplication(multiplication(A,
% 5.77/6.02                                                       star(A)),B),B),true) ->
% 5.77/6.02  true
% 5.77/6.02  Current number of equations to process: 1393
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 404
% 5.77/6.02  New rule produced :
% 5.77/6.02  [431]
% 5.77/6.02  ifeq2(leq(multiplication(multiplication(A,star(A)),B),B),true,multiplication(
% 5.77/6.02                                                                star(A),B),B)
% 5.77/6.02  -> B
% 5.77/6.02  Current number of equations to process: 1392
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 405
% 5.77/6.02  New rule produced :
% 5.77/6.02  [432]
% 5.77/6.02  leq(multiplication(multiplication(A,star(A)),B) addition C,multiplication(
% 5.77/6.02                                                             star(A),B) addition C)
% 5.77/6.02  -> true
% 5.77/6.02  Current number of equations to process: 1390
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 406
% 5.77/6.02  New rule produced :
% 5.77/6.02  [433]
% 5.77/6.02  ifeq3(multiplication(star(A),B),B,leq(multiplication(multiplication(star(A),A),B),B),true)
% 5.77/6.02  -> true
% 5.77/6.02  Current number of equations to process: 1389
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 407
% 5.77/6.02  New rule produced :
% 5.77/6.02  [434]
% 5.77/6.02  ifeq2(leq(multiplication(multiplication(star(A),A),B),B),true,multiplication(
% 5.77/6.02                                                                star(A),B),B)
% 5.77/6.02  -> B
% 5.77/6.02  Current number of equations to process: 1388
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 408
% 5.77/6.02  New rule produced :
% 5.77/6.02  [435]
% 5.77/6.02  leq(multiplication(multiplication(star(A),A),B) addition C,multiplication(
% 5.77/6.02                                                             star(A),B) addition C)
% 5.77/6.02  -> true
% 5.77/6.02  Current number of equations to process: 1387
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 409
% 5.77/6.02  New rule produced :
% 5.77/6.02  [436]
% 5.77/6.02  ifeq3(multiplication(strong_iteration(A),B),B,leq(multiplication(multiplication(A,
% 5.77/6.02                                                                   strong_iteration(A)),B),B),true)
% 5.77/6.02  -> true
% 5.77/6.02  Current number of equations to process: 1386
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 410
% 5.77/6.02  New rule produced :
% 5.77/6.02  [437]
% 5.77/6.02  ifeq2(leq(multiplication(multiplication(A,strong_iteration(A)),B),B),true,
% 5.77/6.02  multiplication(strong_iteration(A),B),B) -> B
% 5.77/6.02  Current number of equations to process: 1385
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 411
% 5.77/6.02  New rule produced :
% 5.77/6.02  [438]
% 5.77/6.02  leq(multiplication(multiplication(A,strong_iteration(A)),B) addition C,
% 5.77/6.02  multiplication(strong_iteration(A),B) addition C) -> true
% 5.77/6.02  Current number of equations to process: 1383
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 412
% 5.77/6.02  New rule produced :
% 5.77/6.02  [439]
% 5.77/6.02  multiplication(A,star(C)) addition multiplication(A,multiplication(star(B),B))
% 5.77/6.02  -> multiplication(A,star(B)) addition multiplication(A,star(C))
% 5.77/6.02  Rule
% 5.77/6.02  [160]
% 5.77/6.02  multiplication(A,star(B)) addition multiplication(A,multiplication(star(B),B))
% 5.77/6.02  -> multiplication(A,star(B)) collapsed.
% 5.77/6.02  Current number of equations to process: 1382
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 412
% 5.77/6.02  New rule produced :
% 5.77/6.02  [440]
% 5.77/6.02  multiplication(star(C),B) addition multiplication(multiplication(star(A),A),B)
% 5.77/6.02  -> multiplication(star(A),B) addition multiplication(star(C),B)
% 5.77/6.02  Rule
% 5.77/6.02  [161]
% 5.77/6.02  multiplication(star(A),B) addition multiplication(multiplication(star(A),A),B)
% 5.77/6.02  -> multiplication(star(A),B) collapsed.
% 5.77/6.02  Current number of equations to process: 1381
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 412
% 5.77/6.02  New rule produced :
% 5.77/6.02  [441]
% 5.77/6.02  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(C,
% 5.77/6.02                                                                  star(C))) ->
% 5.77/6.02  multiplication(A,strong_iteration(B)) addition multiplication(A,star(C))
% 5.77/6.02  Current number of equations to process: 1378
% 5.77/6.02  Current number of ordered equations: 0
% 5.77/6.02  Current number of rules: 413
% 5.77/6.02  New rule produced :
% 5.77/6.02  [442]
% 5.77/6.02  multiplication(strong_iteration(A),B) addition multiplication(multiplication(C,
% 5.77/6.02                                                                star(C)),B) ->
% 5.77/6.02  multiplication(strong_iteration(A),B) addition multiplication(star(C),B)
% 6.70/7.01  Current number of equations to process: 1377
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 414
% 6.70/7.01  New rule produced :
% 6.70/7.01  [443]
% 6.70/7.01  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(
% 6.70/7.01                                                                  star(C),C))
% 6.70/7.01  -> multiplication(A,strong_iteration(B)) addition multiplication(A,star(C))
% 6.70/7.01  Current number of equations to process: 1376
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 415
% 6.70/7.01  New rule produced :
% 6.70/7.01  [444]
% 6.70/7.01  multiplication(strong_iteration(A),B) addition multiplication(multiplication(
% 6.70/7.01                                                                star(C),C),B)
% 6.70/7.01  -> multiplication(strong_iteration(A),B) addition multiplication(star(C),B)
% 6.70/7.01  Current number of equations to process: 1375
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 416
% 6.70/7.01  New rule produced :
% 6.70/7.01  [445]
% 6.70/7.01  ifeq3(star(A),multiplication(A,star(A)),leq(star(A),multiplication(A,star(A))),true)
% 6.70/7.01  -> true
% 6.70/7.01  Current number of equations to process: 1374
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 417
% 6.70/7.01  New rule produced :
% 6.70/7.01  [446]
% 6.70/7.01  ifeq3(strong_iteration(A),multiplication(A,strong_iteration(A)),leq(strong_iteration(A),
% 6.70/7.01                                                                  multiplication(A,
% 6.70/7.01                                                                  strong_iteration(A))),true)
% 6.70/7.01  -> true
% 6.70/7.01  Current number of equations to process: 1372
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 418
% 6.70/7.01  New rule produced :
% 6.70/7.01  [447]
% 6.70/7.01  leq(multiplication(A,star(B)) addition C,multiplication(A,strong_iteration(B)) addition C addition V_3)
% 6.70/7.01  -> true
% 6.70/7.01  Current number of equations to process: 1367
% 6.70/7.01  Current number of ordered equations: 1
% 6.70/7.01  Current number of rules: 419
% 6.70/7.01  New rule produced :
% 6.70/7.01  [448]
% 6.70/7.01  leq(multiplication(A,multiplication(strong_iteration(B),zero)) addition C,
% 6.70/7.01  multiplication(A,strong_iteration(B)) addition C) -> true
% 6.70/7.01  Current number of equations to process: 1367
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 420
% 6.70/7.01  New rule produced :
% 6.70/7.01  [449]
% 6.70/7.01  ifeq2(leq(strong_iteration(A) addition B,star(A)),true,strong_iteration(A) addition B,
% 6.70/7.01  star(A)) -> star(A)
% 6.70/7.01  Current number of equations to process: 1547
% 6.70/7.01  Current number of ordered equations: 1
% 6.70/7.01  Current number of rules: 421
% 6.70/7.01  New rule produced :
% 6.70/7.01  [450]
% 6.70/7.01  ifeq2(leq(star(A) addition B,strong_iteration(A)),true,strong_iteration(A) addition B,
% 6.70/7.01  strong_iteration(A)) -> strong_iteration(A)
% 6.70/7.01  Current number of equations to process: 1547
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 422
% 6.70/7.01  New rule produced :
% 6.70/7.01  [451]
% 6.70/7.01  multiplication(A,multiplication(strong_iteration(B),zero)) addition multiplication(A,
% 6.70/7.01                                                                      multiplication(
% 6.70/7.01                                                                      star(B),C))
% 6.70/7.01  -> multiplication(A,multiplication(strong_iteration(B),C))
% 6.70/7.01  Current number of equations to process: 1540
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 423
% 6.70/7.01  New rule produced :
% 6.70/7.01  [452]
% 6.70/7.01  multiplication(multiplication(A,star(B)),C) addition multiplication(A,
% 6.70/7.01                                                       multiplication(strong_iteration(B),zero))
% 6.70/7.01  -> multiplication(multiplication(A,strong_iteration(B)),C)
% 6.70/7.01  Current number of equations to process: 1537
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 424
% 6.70/7.01  New rule produced : [453] leq(multiplication(star(one),zero),A) -> true
% 6.70/7.01  Current number of equations to process: 1546
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 425
% 6.70/7.01  New rule produced :
% 6.70/7.01  [454]
% 6.70/7.01  ifeq(leq(A,one),true,leq(multiplication(star(A),zero),one),true) -> true
% 6.70/7.01  Current number of equations to process: 1549
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 426
% 6.70/7.01  New rule produced :
% 6.70/7.01  [455] ifeq(leq(one addition A,one),true,leq(star(A),one),true) -> true
% 6.70/7.01  Current number of equations to process: 1566
% 6.70/7.01  Current number of ordered equations: 0
% 6.70/7.01  Current number of rules: 427
% 6.70/7.01  New rule produced :
% 6.70/7.01  [456] ifeq(leq(one addition A,A),true,leq(star(one),A),true) -> true
% 6.70/7.01  Current number of equations to process: 1565
% 6.70/7.01  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 428
% 7.31/7.57  New rule produced :
% 7.31/7.57  [457] ifeq(leq(star(A),A),true,leq(star(star(A)),A),true) -> true
% 7.31/7.57  Current number of equations to process: 1564
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 429
% 7.31/7.57  New rule produced :
% 7.31/7.57  [458] ifeq(leq(A,one),true,leq(multiplication(star(A),A),one),true) -> true
% 7.31/7.57  Current number of equations to process: 1597
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 430
% 7.31/7.57  New rule produced :
% 7.31/7.57  [459]
% 7.31/7.57  ifeq(leq(star(A),one),true,leq(multiplication(star(one),star(A)),one),true)
% 7.31/7.57  -> true
% 7.31/7.57  Current number of equations to process: 1659
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 431
% 7.31/7.57  New rule produced :
% 7.31/7.57  [460]
% 7.31/7.57  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(star(one),strong_iteration(A)),one),true)
% 7.31/7.57  -> true
% 7.31/7.57  Current number of equations to process: 1658
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 432
% 7.31/7.57  New rule produced :
% 7.31/7.57  [461]
% 7.31/7.57  ifeq(leq(star(A),one),true,leq(star(multiplication(star(A),A)),one),true) ->
% 7.31/7.57  true
% 7.31/7.57  Current number of equations to process: 1657
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 433
% 7.31/7.57  New rule produced : [462] leq(multiplication(star(one),A),A) -> true
% 7.31/7.57  Current number of equations to process: 1660
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 434
% 7.31/7.57  New rule produced :
% 7.31/7.57  [463] leq(multiplication(star(one),A),A addition B) -> true
% 7.31/7.57  Current number of equations to process: 1659
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 435
% 7.31/7.57  New rule produced :
% 7.31/7.57  [464]
% 7.31/7.57  ifeq(leq(A,zero),true,leq(multiplication(star(one),A),zero),true) -> true
% 7.31/7.57  Current number of equations to process: 1679
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 436
% 7.31/7.57  New rule produced :
% 7.31/7.57  [465] leq(multiplication(star(one),star(A)),strong_iteration(A)) -> true
% 7.31/7.57  Current number of equations to process: 1684
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 437
% 7.31/7.57  New rule produced :
% 7.31/7.57  [466]
% 7.31/7.57  leq(multiplication(star(one),star(A)),strong_iteration(A) addition B) -> true
% 7.31/7.57  Current number of equations to process: 1683
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 438
% 7.31/7.57  New rule produced :
% 7.31/7.57  [467]
% 7.31/7.57  leq(multiplication(star(one),multiplication(star(A),A)),star(A)) -> true
% 7.31/7.57  Current number of equations to process: 1686
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 439
% 7.31/7.57  New rule produced :
% 7.31/7.57  [468]
% 7.31/7.57  leq(multiplication(star(one),multiplication(A,zero)),multiplication(A,B)) ->
% 7.31/7.57  true
% 7.31/7.57  Current number of equations to process: 1689
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 440
% 7.31/7.57  New rule produced :
% 7.31/7.57  [469]
% 7.31/7.57  leq(multiplication(star(one),multiplication(star(A),A)),star(A) addition B)
% 7.31/7.57  -> true
% 7.31/7.57  Current number of equations to process: 1723
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 441
% 7.31/7.57  New rule produced :
% 7.31/7.57  [470]
% 7.31/7.57  leq(multiplication(star(one),multiplication(A,zero)),multiplication(A,B) addition C)
% 7.31/7.57  -> true
% 7.31/7.57  Current number of equations to process: 1722
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 442
% 7.31/7.57  New rule produced :
% 7.31/7.57  [471]
% 7.31/7.57  ifeq(leq(multiplication(A,multiplication(star(A),zero)),multiplication(
% 7.31/7.57                                                          star(A),zero)),true,true,true)
% 7.31/7.57  -> true
% 7.31/7.57  Current number of equations to process: 1723
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 443
% 7.31/7.57  New rule produced :
% 7.31/7.57  [472]
% 7.31/7.57  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(star(strong_iteration(A)),
% 7.31/7.57                                             star(A)),one),true) -> true
% 7.31/7.57  Current number of equations to process: 1721
% 7.31/7.57  Current number of ordered equations: 1
% 7.31/7.57  Current number of rules: 444
% 7.31/7.57  New rule produced :
% 7.31/7.57  [473]
% 7.31/7.57  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(star(star(A)),
% 7.31/7.57                                             strong_iteration(A)),one),true) ->
% 7.31/7.57  true
% 7.31/7.57  Current number of equations to process: 1721
% 7.31/7.57  Current number of ordered equations: 0
% 7.31/7.57  Current number of rules: 445
% 7.31/7.57  New rule produced :
% 7.31/7.57  [474] ifeq(leq(one,zero),true,leq(star(one),zero),true) -> true
% 7.31/7.57  Current number of equations to process: 1721
% 7.31/7.57  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 446
% 7.90/8.19  New rule produced : [475] ifeq(leq(A,one),true,true,true) -> true
% 7.90/8.19  Current number of equations to process: 1721
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 447
% 7.90/8.19  New rule produced :
% 7.90/8.19  [476]
% 7.90/8.19  ifeq(leq(multiplication(multiplication(A,B),C),A),true,true,true) -> true
% 7.90/8.19  Current number of equations to process: 1724
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 448
% 7.90/8.19  New rule produced :
% 7.90/8.19  [477] ifeq(leq(one,zero),true,leq(star(A),zero),true) -> true
% 7.90/8.19  Rule [474] ifeq(leq(one,zero),true,leq(star(one),zero),true) -> true
% 7.90/8.19  collapsed.
% 7.90/8.19  Current number of equations to process: 1732
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 448
% 7.90/8.19  New rule produced :
% 7.90/8.19  [478]
% 7.90/8.19  ifeq(leq(multiplication(A,multiplication(B,C)),multiplication(A,B)),true,true,true)
% 7.90/8.19  -> true
% 7.90/8.19  Current number of equations to process: 1732
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 449
% 7.90/8.19  New rule produced :
% 7.90/8.19  [479]
% 7.90/8.19  ifeq(leq(multiplication(A,B) addition multiplication(A,C),A),true,true,true)
% 7.90/8.19  -> true
% 7.90/8.19  Current number of equations to process: 1731
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 450
% 7.90/8.19  New rule produced :
% 7.90/8.19  [480]
% 7.90/8.19  ifeq(leq(multiplication(multiplication(multiplication(A,B),C),V_3),A),true,true,true)
% 7.90/8.19  -> true
% 7.90/8.19  Current number of equations to process: 1730
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 451
% 7.90/8.19  New rule produced : [481] leq(multiplication(A,star(one)),A) -> true
% 7.90/8.19  Current number of equations to process: 1737
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 452
% 7.90/8.19  New rule produced :
% 7.90/8.19  [482] leq(multiplication(A,star(one)),A addition B) -> true
% 7.90/8.19  Current number of equations to process: 1736
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 453
% 7.90/8.19  New rule produced :
% 7.90/8.19  [483] leq(multiplication(star(A),star(one)),strong_iteration(A)) -> true
% 7.90/8.19  Current number of equations to process: 1764
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 454
% 7.90/8.19  New rule produced :
% 7.90/8.19  [484]
% 7.90/8.19  leq(multiplication(star(A),star(one)),strong_iteration(A) addition B) -> true
% 7.90/8.19  Current number of equations to process: 1763
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 455
% 7.90/8.19  New rule produced :
% 7.90/8.19  [485]
% 7.90/8.19  leq(multiplication(multiplication(star(A),A),star(one)),star(A)) -> true
% 7.90/8.19  Current number of equations to process: 1766
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 456
% 7.90/8.19  New rule produced :
% 7.90/8.19  [486]
% 7.90/8.19  leq(multiplication(multiplication(star(A),A),star(one)),star(A) addition B)
% 7.90/8.19  -> true
% 7.90/8.19  Current number of equations to process: 1802
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 457
% 7.90/8.19  New rule produced :
% 7.90/8.19  [487]
% 7.90/8.19  ifeq(leq(star(A),one),true,leq(multiplication(star(A),star(one)),one),true)
% 7.90/8.19  -> true
% 7.90/8.19  Current number of equations to process: 1803
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 458
% 7.90/8.19  New rule produced :
% 7.90/8.19  [488]
% 7.90/8.19  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(strong_iteration(A),
% 7.90/8.19                                             star(one)),one),true) -> true
% 7.90/8.19  Current number of equations to process: 1802
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 459
% 7.90/8.19  New rule produced :
% 7.90/8.19  [489] ifeq(leq(A,one),true,leq(multiplication(A,star(A)),one),true) -> true
% 7.90/8.19  Current number of equations to process: 1825
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 460
% 7.90/8.19  New rule produced :
% 7.90/8.19  [490]
% 7.90/8.19  ifeq(leq(strong_iteration(A),A),true,leq(star(strong_iteration(A)),A),true)
% 7.90/8.19  -> true
% 7.90/8.19  Current number of equations to process: 1889
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 461
% 7.90/8.19  New rule produced : [491] leq(A,strong_iteration(one)) -> true
% 7.90/8.19  Current number of equations to process: 1900
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 462
% 7.90/8.19  New rule produced :
% 7.90/8.19  [492]
% 7.90/8.19  multiplication(strong_iteration(one),A) addition B ->
% 7.90/8.19  multiplication(strong_iteration(one),A)
% 7.90/8.19  Current number of equations to process: 1903
% 7.90/8.19  Current number of ordered equations: 0
% 7.90/8.19  Current number of rules: 463
% 7.90/8.19  New rule produced :
% 7.90/8.19  [493]
% 7.90/8.19  leq(A,multiplication(multiplication(strong_iteration(one),B),C)) -> true
% 8.16/8.41  Current number of equations to process: 1902
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 464
% 8.16/8.41  New rule produced :
% 8.16/8.41  [494]
% 8.16/8.41  ifeq3(strong_iteration(one),multiplication(strong_iteration(one),zero),true,true)
% 8.16/8.41  -> true
% 8.16/8.41  Current number of equations to process: 1904
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 465
% 8.16/8.41  New rule produced :
% 8.16/8.41  [495]
% 8.16/8.41  multiplication(strong_iteration(one),star(strong_iteration(one))) ->
% 8.16/8.41  star(strong_iteration(one))
% 8.16/8.41  Current number of equations to process: 1904
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 466
% 8.16/8.41  New rule produced :
% 8.16/8.41  [496]
% 8.16/8.41  multiplication(strong_iteration(one),strong_iteration(strong_iteration(one)))
% 8.16/8.41  -> strong_iteration(strong_iteration(one))
% 8.16/8.41  Current number of equations to process: 1904
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 467
% 8.16/8.41  New rule produced :
% 8.16/8.41  [497]
% 8.16/8.41  ifeq(leq(one,A),true,leq(one,multiplication(strong_iteration(A),zero)),true)
% 8.16/8.41  -> true
% 8.16/8.41  Current number of equations to process: 1905
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 468
% 8.16/8.41  New rule produced :
% 8.16/8.41  [498]
% 8.16/8.41  leq(A,multiplication(strong_iteration(strong_iteration(one)),zero)) -> true
% 8.16/8.41  Current number of equations to process: 1915
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 469
% 8.16/8.41  New rule produced :
% 8.16/8.41  [499]
% 8.16/8.41  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 8.16/8.41                                                          star(B)))) -> true
% 8.16/8.41  Current number of equations to process: 1925
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 470
% 8.16/8.41  New rule produced :
% 8.16/8.41  [500]
% 8.16/8.41  leq(one,multiplication(strong_iteration(one addition A),multiplication(
% 8.16/8.41                                                          star(B),B))) -> true
% 8.16/8.41  Current number of equations to process: 1924
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 471
% 8.16/8.41  New rule produced :
% 8.16/8.41  [501]
% 8.16/8.41  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 8.16/8.41                                                          strong_iteration(B))))
% 8.16/8.41  -> true
% 8.16/8.41  Current number of equations to process: 1923
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 472
% 8.16/8.41  New rule produced :
% 8.16/8.41  [502]
% 8.16/8.41  ifeq(leq(one,A),true,leq(one,multiplication(strong_iteration(A),A)),true) ->
% 8.16/8.41  true
% 8.16/8.41  Current number of equations to process: 1923
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 473
% 8.16/8.41  New rule produced :
% 8.16/8.41  [503]
% 8.16/8.41  leq(one,multiplication(strong_iteration(one addition A),star(B))) -> true
% 8.16/8.41  Current number of equations to process: 1923
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 474
% 8.16/8.41  New rule produced :
% 8.16/8.41  [504]
% 8.16/8.41  leq(one,multiplication(strong_iteration(one addition A),strong_iteration(B)))
% 8.16/8.41  -> true
% 8.16/8.41  Current number of equations to process: 1923
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 475
% 8.16/8.41  New rule produced :
% 8.16/8.41  [505]
% 8.16/8.41  leq(one,multiplication(strong_iteration(strong_iteration(A)),star(A))) ->
% 8.16/8.41  true
% 8.16/8.41  Current number of equations to process: 1925
% 8.16/8.41  Current number of ordered equations: 1
% 8.16/8.41  Current number of rules: 476
% 8.16/8.41  New rule produced :
% 8.16/8.41  [506]
% 8.16/8.41  leq(one,multiplication(strong_iteration(star(A)),strong_iteration(A))) ->
% 8.16/8.41  true
% 8.16/8.41  Current number of equations to process: 1925
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 477
% 8.16/8.41  New rule produced :
% 8.16/8.41  [507]
% 8.16/8.41  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 8.16/8.41          star(A))) -> true
% 8.16/8.41  Current number of equations to process: 1923
% 8.16/8.41  Current number of ordered equations: 1
% 8.16/8.41  Current number of rules: 478
% 8.16/8.41  New rule produced :
% 8.16/8.41  [508]
% 8.16/8.41  leq(one,multiplication(strong_iteration(star(A) addition B),strong_iteration(A)))
% 8.16/8.41  -> true
% 8.16/8.41  Current number of equations to process: 1923
% 8.16/8.41  Current number of ordered equations: 0
% 8.16/8.41  Current number of rules: 479
% 8.16/8.41  New rule produced :
% 8.16/8.41  [509] leq(one,multiplication(strong_iteration(one addition A),B)) -> true
% 8.16/8.41  Rule
% 8.16/8.41  [499]
% 8.16/8.41  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 8.16/8.41                                                          star(B)))) -> true
% 8.16/8.41  collapsed.
% 8.16/8.41  Rule
% 8.16/8.41  [500]
% 8.16/8.41  leq(one,multiplication(strong_iteration(one addition A),multiplication(
% 8.16/8.41                                                          star(B),B))) -> true
% 8.35/8.61  collapsed.
% 8.35/8.61  Rule
% 8.35/8.61  [501]
% 8.35/8.61  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 8.35/8.61                                                          strong_iteration(B))))
% 8.35/8.61  -> true collapsed.
% 8.35/8.61  Rule
% 8.35/8.61  [503]
% 8.35/8.61  leq(one,multiplication(strong_iteration(one addition A),star(B))) -> true
% 8.35/8.61  collapsed.
% 8.35/8.61  Rule
% 8.35/8.61  [504]
% 8.35/8.61  leq(one,multiplication(strong_iteration(one addition A),strong_iteration(B)))
% 8.35/8.61  -> true collapsed.
% 8.35/8.61  Current number of equations to process: 1927
% 8.35/8.61  Current number of ordered equations: 0
% 8.35/8.61  Current number of rules: 475
% 8.35/8.61  New rule produced :
% 8.35/8.61  [510]
% 8.35/8.61  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(A),A)))
% 8.35/8.61  -> true
% 8.35/8.61  Current number of equations to process: 1925
% 8.35/8.61  Current number of ordered equations: 1
% 8.35/8.61  Current number of rules: 476
% 8.35/8.61  New rule produced :
% 8.35/8.61  [511]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(A)))
% 8.35/8.61  -> true
% 8.35/8.61  Current number of equations to process: 1925
% 8.35/8.61  Current number of ordered equations: 0
% 8.35/8.61  Current number of rules: 477
% 8.35/8.61  New rule produced :
% 8.35/8.61  [512]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(B)))
% 8.35/8.61  -> true
% 8.35/8.61  Rule
% 8.35/8.61  [511]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(A)))
% 8.35/8.61  -> true collapsed.
% 8.35/8.61  Current number of equations to process: 1954
% 8.35/8.61  Current number of ordered equations: 1
% 8.35/8.61  Current number of rules: 477
% 8.35/8.61  New rule produced :
% 8.35/8.61  [513]
% 8.35/8.61  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(B),B)))
% 8.35/8.61  -> true
% 8.35/8.61  Rule
% 8.35/8.61  [510]
% 8.35/8.61  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(A),A)))
% 8.35/8.61  -> true collapsed.
% 8.35/8.61  Current number of equations to process: 1954
% 8.35/8.61  Current number of ordered equations: 0
% 8.35/8.61  Current number of rules: 477
% 8.35/8.61  New rule produced :
% 8.35/8.61  [514]
% 8.35/8.61  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(B,
% 8.35/8.61                                                               star(B)))) ->
% 8.35/8.61  true
% 8.35/8.61  Current number of equations to process: 1958
% 8.35/8.61  Current number of ordered equations: 1
% 8.35/8.61  Current number of rules: 478
% 8.35/8.61  New rule produced :
% 8.35/8.61  [515]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(A,star(A))),strong_iteration(B)))
% 8.35/8.61  -> true
% 8.35/8.61  Current number of equations to process: 1958
% 8.35/8.61  Current number of ordered equations: 0
% 8.35/8.61  Current number of rules: 479
% 8.35/8.61  New rule produced :
% 8.35/8.61  [516]
% 8.35/8.61  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(
% 8.35/8.61                                                               star(B),B))) ->
% 8.35/8.61  true
% 8.35/8.61  Current number of equations to process: 1960
% 8.35/8.61  Current number of ordered equations: 1
% 8.35/8.61  Current number of rules: 480
% 8.35/8.61  New rule produced :
% 8.35/8.61  [517]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),strong_iteration(B)))
% 8.35/8.61  -> true
% 8.35/8.61  Current number of equations to process: 1960
% 8.35/8.61  Current number of ordered equations: 0
% 8.35/8.61  Current number of rules: 481
% 8.35/8.61  New rule produced :
% 8.35/8.61  [518]
% 8.35/8.61  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 8.35/8.61                                                              star(A),A))) ->
% 8.35/8.61  true
% 8.35/8.61  Current number of equations to process: 1962
% 8.35/8.61  Current number of ordered equations: 1
% 8.35/8.61  Current number of rules: 482
% 8.35/8.61  New rule produced :
% 8.35/8.61  [519]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 8.35/8.61          star(A))) -> true
% 8.35/8.61  Current number of equations to process: 1962
% 8.35/8.61  Current number of ordered equations: 0
% 8.35/8.61  Current number of rules: 483
% 8.35/8.61  New rule produced :
% 8.35/8.61  [520]
% 8.35/8.61  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 8.35/8.61                                                              star(C),C))) ->
% 8.35/8.61  true
% 8.35/8.61  Rule
% 8.35/8.61  [518]
% 8.35/8.61  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 8.35/8.61                                                              star(A),A))) ->
% 8.35/8.61  true collapsed.
% 8.35/8.61  Current number of equations to process: 1960
% 8.35/8.61  Current number of ordered equations: 1
% 8.35/8.61  Current number of rules: 483
% 8.35/8.61  New rule produced :
% 8.35/8.61  [521]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 8.35/8.61          star(C))) -> true
% 8.35/8.61  Rule
% 8.35/8.61  [519]
% 8.35/8.61  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 8.35/8.61          star(A))) -> true collapsed.
% 8.35/8.61  Current number of equations to process: 1960
% 8.35/8.61  Current number of ordered equations: 0
% 8.35/8.61  Current number of rules: 483
% 8.66/8.94  New rule produced :
% 8.66/8.94  [522]
% 8.66/8.94  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 8.66/8.94          multiplication(C,star(C)))) -> true
% 8.66/8.94  Current number of equations to process: 1956
% 8.66/8.94  Current number of ordered equations: 1
% 8.66/8.94  Current number of rules: 484
% 8.66/8.94  New rule produced :
% 8.66/8.94  [523]
% 8.66/8.94  leq(one,multiplication(strong_iteration(multiplication(A,star(A)) addition B),
% 8.66/8.94          strong_iteration(C))) -> true
% 8.66/8.94  Current number of equations to process: 1956
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 485
% 8.66/8.94  New rule produced :
% 8.66/8.94  [524]
% 8.66/8.94  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 8.66/8.94          multiplication(star(C),C))) -> true
% 8.66/8.94  Current number of equations to process: 1954
% 8.66/8.94  Current number of ordered equations: 1
% 8.66/8.94  Current number of rules: 486
% 8.66/8.94  New rule produced :
% 8.66/8.94  [525]
% 8.66/8.94  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 8.66/8.94          strong_iteration(C))) -> true
% 8.66/8.94  Current number of equations to process: 1954
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 487
% 8.66/8.94  New rule produced :
% 8.66/8.94  [526] ifeq(leq(A,star(A)),true,leq(A,strong_iteration(star(A))),true) -> true
% 8.66/8.94  Current number of equations to process: 1962
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 488
% 8.66/8.94  New rule produced : [527] leq(one,multiplication(star(A),star(B))) -> true
% 8.66/8.94  Current number of equations to process: 1973
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 489
% 8.66/8.94  New rule produced :
% 8.66/8.94  [528] leq(one,multiplication(star(A),strong_iteration(B))) -> true
% 8.66/8.94  Current number of equations to process: 1974
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 490
% 8.66/8.94  New rule produced :
% 8.66/8.94  [529] leq(one,multiplication(strong_iteration(A),star(B))) -> true
% 8.66/8.94  Rule
% 8.66/8.94  [505]
% 8.66/8.94  leq(one,multiplication(strong_iteration(strong_iteration(A)),star(A))) ->
% 8.66/8.94  true collapsed.
% 8.66/8.94  Rule
% 8.66/8.94  [507]
% 8.66/8.94  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 8.66/8.94          star(A))) -> true collapsed.
% 8.66/8.94  Rule
% 8.66/8.94  [512]
% 8.66/8.94  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(B)))
% 8.66/8.94  -> true collapsed.
% 8.66/8.94  Rule
% 8.66/8.94  [521]
% 8.66/8.94  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 8.66/8.94          star(C))) -> true collapsed.
% 8.66/8.94  Current number of equations to process: 1976
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 487
% 8.66/8.94  New rule produced :
% 8.66/8.94  [530] leq(one,multiplication(star(A),star(B)) addition C) -> true
% 8.66/8.94  Current number of equations to process: 1975
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 488
% 8.66/8.94  New rule produced :
% 8.66/8.94  [531] leq(one,multiplication(star(A),strong_iteration(B)) addition C) -> true
% 8.66/8.94  Current number of equations to process: 1974
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 489
% 8.66/8.94  New rule produced :
% 8.66/8.94  [532] leq(one,multiplication(strong_iteration(A),star(B)) addition C) -> true
% 8.66/8.94  Current number of equations to process: 1972
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 490
% 8.66/8.94  New rule produced :
% 8.66/8.94  [533] leq(one,multiplication(strong_iteration(star(A)),B)) -> true
% 8.66/8.94  Rule
% 8.66/8.94  [506]
% 8.66/8.94  leq(one,multiplication(strong_iteration(star(A)),strong_iteration(A))) ->
% 8.66/8.94  true collapsed.
% 8.66/8.94  Rule
% 8.66/8.94  [513]
% 8.66/8.94  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(B),B)))
% 8.66/8.94  -> true collapsed.
% 8.66/8.94  Current number of equations to process: 1973
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 489
% 8.66/8.94  New rule produced :
% 8.66/8.94  [534] leq(one,multiplication(strong_iteration(star(A) addition B),C)) -> true
% 8.66/8.94  Rule
% 8.66/8.94  [508]
% 8.66/8.94  leq(one,multiplication(strong_iteration(star(A) addition B),strong_iteration(A)))
% 8.66/8.94  -> true collapsed.
% 8.66/8.94  Rule
% 8.66/8.94  [520]
% 8.66/8.94  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 8.66/8.94                                                              star(C),C))) ->
% 8.66/8.94  true collapsed.
% 8.66/8.94  Current number of equations to process: 1972
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 488
% 8.66/8.94  New rule produced : [535] star(A) addition A -> star(A)
% 8.66/8.94  Current number of equations to process: 1975
% 8.66/8.94  Current number of ordered equations: 0
% 8.66/8.94  Current number of rules: 489
% 8.66/8.94  New rule produced :
% 8.66/8.94  [536] multiplication(star(star(A)),star(A)) -> star(star(A))
% 8.66/8.94  Rule
% 8.66/8.94  [416]
% 9.85/10.10  ifeq(leq(star(A),A),true,leq(multiplication(star(star(A)),star(A)),A),true)
% 9.85/10.10  -> true collapsed.
% 9.85/10.10  Current number of equations to process: 2000
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 489
% 9.85/10.10  New rule produced :
% 9.85/10.10  [537]
% 9.85/10.10  multiplication(strong_iteration(A),star(strong_iteration(A))) ->
% 9.85/10.10  star(strong_iteration(A))
% 9.85/10.10  Rule
% 9.85/10.10  [495]
% 9.85/10.10  multiplication(strong_iteration(one),star(strong_iteration(one))) ->
% 9.85/10.10  star(strong_iteration(one)) collapsed.
% 9.85/10.10  Current number of equations to process: 2044
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 489
% 9.85/10.10  New rule produced :
% 9.85/10.10  [538] leq(multiplication(star(one),A),multiplication(A,star(B))) -> true
% 9.85/10.10  Current number of equations to process: 2091
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 490
% 9.85/10.10  New rule produced :
% 9.85/10.10  [539]
% 9.85/10.10  leq(multiplication(star(one),A),multiplication(A,star(B)) addition C) -> true
% 9.85/10.10  Current number of equations to process: 2090
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 491
% 9.85/10.10  New rule produced :
% 9.85/10.10  [540] leq(multiplication(A,star(one)),multiplication(A,star(B))) -> true
% 9.85/10.10  Current number of equations to process: 2093
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 492
% 9.85/10.10  New rule produced :
% 9.85/10.10  [541] multiplication(star(A),star(star(A))) -> star(star(A))
% 9.85/10.10  Current number of equations to process: 2112
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 493
% 9.85/10.10  New rule produced :
% 9.85/10.10  [542]
% 9.85/10.10  multiplication(star(A),strong_iteration(star(A))) ->
% 9.85/10.10  strong_iteration(star(A))
% 9.85/10.10  Current number of equations to process: 2111
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 494
% 9.85/10.10  New rule produced :
% 9.85/10.10  [543]
% 9.85/10.10  leq(multiplication(A,star(one)),multiplication(A,star(B)) addition C) -> true
% 9.85/10.10  Current number of equations to process: 2126
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 495
% 9.85/10.10  New rule produced :
% 9.85/10.10  [544]
% 9.85/10.10  multiplication(star(strong_iteration(A)),strong_iteration(A)) ->
% 9.85/10.10  star(strong_iteration(A))
% 9.85/10.10  Rule
% 9.85/10.10  [419]
% 9.85/10.10  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(strong_iteration(A)),
% 9.85/10.10                                              strong_iteration(A)),zero),true)
% 9.85/10.10  -> true collapsed.
% 9.85/10.10  Current number of equations to process: 2174
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 495
% 9.85/10.10  New rule produced :
% 9.85/10.10  [545] leq(multiplication(star(one),A),multiplication(star(B),A)) -> true
% 9.85/10.10  Current number of equations to process: 2224
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 496
% 9.85/10.10  New rule produced :
% 9.85/10.10  [546]
% 9.85/10.10  leq(multiplication(star(one),A),multiplication(star(B),A) addition C) -> true
% 9.85/10.10  Current number of equations to process: 2223
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 497
% 9.85/10.10  New rule produced :
% 9.85/10.10  [547] leq(multiplication(A,star(one)),multiplication(star(B),A)) -> true
% 9.85/10.10  Current number of equations to process: 2226
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 498
% 9.85/10.10  New rule produced :
% 9.85/10.10  [548]
% 9.85/10.10  leq(multiplication(A,star(one)),multiplication(star(B),A) addition C) -> true
% 9.85/10.10  Current number of equations to process: 2263
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 499
% 9.85/10.10  New rule produced :
% 9.85/10.10  [549]
% 9.85/10.10  ifeq(leq(strong_iteration(A),zero),true,leq(star(strong_iteration(A)),zero),true)
% 9.85/10.10  -> true
% 9.85/10.10  Current number of equations to process: 2262
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 500
% 9.85/10.10  New rule produced :
% 9.85/10.10  [550]
% 9.85/10.10  multiplication(multiplication(A,star(B)),star(C)) addition A ->
% 9.85/10.10  multiplication(multiplication(A,star(B)),star(C))
% 9.85/10.10  Current number of equations to process: 2261
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 501
% 9.85/10.10  New rule produced :
% 9.85/10.10  [551]
% 9.85/10.10  multiplication(multiplication(A,star(B)),strong_iteration(C)) addition A ->
% 9.85/10.10  multiplication(multiplication(A,star(B)),strong_iteration(C))
% 9.85/10.10  Current number of equations to process: 2260
% 9.85/10.10  Current number of ordered equations: 0
% 9.85/10.10  Current number of rules: 502
% 9.85/10.10  New rule produced :
% 9.85/10.10  [552]
% 9.85/10.10  multiplication(star(A),multiplication(B,star(C))) addition B ->
% 9.85/10.10  multiplication(star(A),multiplication(B,star(C)))
% 9.85/10.10  Current number of equations to process: 2258
% 9.85/10.10  Current number of ordered equations: 1
% 9.85/10.10  Current number of rules: 503
% 10.69/10.93  New rule produced :
% 10.69/10.93  [553]
% 10.69/10.93  multiplication(star(A),star(B)) addition multiplication(A,star(A)) ->
% 10.69/10.93  multiplication(star(A),star(B))
% 10.69/10.93  Current number of equations to process: 2258
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 504
% 10.69/10.93  New rule produced :
% 10.69/10.93  [554]
% 10.69/10.93  multiplication(strong_iteration(A),multiplication(B,star(C))) addition B ->
% 10.69/10.93  multiplication(strong_iteration(A),multiplication(B,star(C)))
% 10.69/10.93  Current number of equations to process: 2255
% 10.69/10.93  Current number of ordered equations: 1
% 10.69/10.93  Current number of rules: 505
% 10.69/10.93  New rule produced :
% 10.69/10.93  [555]
% 10.69/10.93  multiplication(strong_iteration(A),star(B)) addition multiplication(A,
% 10.69/10.93                                                       strong_iteration(A)) ->
% 10.69/10.93  multiplication(strong_iteration(A),star(B))
% 10.69/10.93  Current number of equations to process: 2255
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 506
% 10.69/10.93  New rule produced :
% 10.69/10.93  [556]
% 10.69/10.93  multiplication(multiplication(star(A),B),star(C)) addition B ->
% 10.69/10.93  multiplication(multiplication(star(A),B),star(C))
% 10.69/10.93  Current number of equations to process: 2252
% 10.69/10.93  Current number of ordered equations: 1
% 10.69/10.93  Current number of rules: 507
% 10.69/10.93  New rule produced :
% 10.69/10.93  [557]
% 10.69/10.93  multiplication(star(A),star(B)) addition multiplication(B,star(B)) ->
% 10.69/10.93  multiplication(star(A),star(B))
% 10.69/10.93  Current number of equations to process: 2252
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 508
% 10.69/10.93  New rule produced :
% 10.69/10.93  [558]
% 10.69/10.93  multiplication(multiplication(star(A),B),strong_iteration(C)) addition B ->
% 10.69/10.93  multiplication(multiplication(star(A),B),strong_iteration(C))
% 10.69/10.93  Current number of equations to process: 2249
% 10.69/10.93  Current number of ordered equations: 1
% 10.69/10.93  Current number of rules: 509
% 10.69/10.93  New rule produced :
% 10.69/10.93  [559]
% 10.69/10.93  multiplication(star(A),strong_iteration(B)) addition multiplication(B,
% 10.69/10.93                                                       strong_iteration(B)) ->
% 10.69/10.93  multiplication(star(A),strong_iteration(B))
% 10.69/10.93  Current number of equations to process: 2249
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 510
% 10.69/10.93  New rule produced :
% 10.69/10.93  [560]
% 10.69/10.93  multiplication(star(A),multiplication(star(B),C)) addition C ->
% 10.69/10.93  multiplication(star(A),multiplication(star(B),C))
% 10.69/10.93  Current number of equations to process: 2248
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 511
% 10.69/10.93  New rule produced :
% 10.69/10.93  [561]
% 10.69/10.93  multiplication(strong_iteration(A),multiplication(star(B),C)) addition C ->
% 10.69/10.93  multiplication(strong_iteration(A),multiplication(star(B),C))
% 10.69/10.93  Current number of equations to process: 2247
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 512
% 10.69/10.93  New rule produced :
% 10.69/10.93  [562]
% 10.69/10.93  multiplication(strong_iteration(A),zero) addition multiplication(star(B),
% 10.69/10.93                                                    strong_iteration(A)) ->
% 10.69/10.93  multiplication(star(B),strong_iteration(A))
% 10.69/10.93  Current number of equations to process: 2246
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 513
% 10.69/10.93  New rule produced :
% 10.69/10.93  [563] leq(star(A),multiplication(strong_iteration(A),star(B))) -> true
% 10.69/10.93  Current number of equations to process: 2245
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 514
% 10.69/10.93  New rule produced :
% 10.69/10.93  [564]
% 10.69/10.93  leq(one,multiplication(strong_iteration(A),strong_iteration(B))) -> true
% 10.69/10.93  Rule
% 10.69/10.93  [515]
% 10.69/10.93  leq(one,multiplication(strong_iteration(multiplication(A,star(A))),strong_iteration(B)))
% 10.69/10.93  -> true collapsed.
% 10.69/10.93  Rule
% 10.69/10.93  [517]
% 10.69/10.93  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),strong_iteration(B)))
% 10.69/10.93  -> true collapsed.
% 10.69/10.93  Rule
% 10.69/10.93  [523]
% 10.69/10.93  leq(one,multiplication(strong_iteration(multiplication(A,star(A)) addition B),
% 10.69/10.93          strong_iteration(C))) -> true collapsed.
% 10.69/10.93  Rule
% 10.69/10.93  [525]
% 10.69/10.93  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 10.69/10.93          strong_iteration(C))) -> true collapsed.
% 10.69/10.93  Current number of equations to process: 2392
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 511
% 10.69/10.93  New rule produced :
% 10.69/10.93  [565]
% 10.69/10.93  leq(one,multiplication(strong_iteration(A),strong_iteration(B)) addition C)
% 10.69/10.93  -> true
% 10.69/10.93  Current number of equations to process: 2391
% 10.69/10.93  Current number of ordered equations: 0
% 10.69/10.93  Current number of rules: 512
% 10.69/10.93  New rule produced :
% 10.69/10.93  [566]
% 10.69/10.93  leq(one,multiplication(strong_iteration(strong_iteration(A)),B)) -> true
% 10.69/10.93  Rule
% 10.69/10.93  [514]
% 10.69/10.93  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(B,
% 12.09/12.35                                                               star(B)))) ->
% 12.09/12.35  true collapsed.
% 12.09/12.35  Rule
% 12.09/12.35  [516]
% 12.09/12.35  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(
% 12.09/12.35                                                               star(B),B))) ->
% 12.09/12.35  true collapsed.
% 12.09/12.35  Current number of equations to process: 2392
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 511
% 12.09/12.35  New rule produced :
% 12.09/12.35  [567]
% 12.09/12.35  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),C))
% 12.09/12.35  -> true
% 12.09/12.35  Rule
% 12.09/12.35  [522]
% 12.09/12.35  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 12.09/12.35          multiplication(C,star(C)))) -> true collapsed.
% 12.09/12.35  Rule
% 12.09/12.35  [524]
% 12.09/12.35  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 12.09/12.35          multiplication(star(C),C))) -> true collapsed.
% 12.09/12.35  Current number of equations to process: 2391
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 510
% 12.09/12.35  New rule produced :
% 12.09/12.35  [568] strong_iteration(A) addition A -> strong_iteration(A)
% 12.09/12.35  Current number of equations to process: 2402
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 511
% 12.09/12.35  New rule produced :
% 12.09/12.35  [569]
% 12.09/12.35  leq(multiplication(star(one),A),multiplication(A,strong_iteration(B))) ->
% 12.09/12.35  true
% 12.09/12.35  Current number of equations to process: 2500
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 512
% 12.09/12.35  New rule produced :
% 12.09/12.35  [570]
% 12.09/12.35  leq(multiplication(star(one),A),multiplication(A,strong_iteration(B)) addition C)
% 12.09/12.35  -> true
% 12.09/12.35  Current number of equations to process: 2499
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 513
% 12.09/12.35  New rule produced :
% 12.09/12.35  [571]
% 12.09/12.35  leq(multiplication(A,star(one)),multiplication(A,strong_iteration(B))) ->
% 12.09/12.35  true
% 12.09/12.35  Current number of equations to process: 2502
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 514
% 12.09/12.35  New rule produced :
% 12.09/12.35  [572]
% 12.09/12.35  multiplication(strong_iteration(A),strong_iteration(strong_iteration(A))) ->
% 12.09/12.35  strong_iteration(strong_iteration(A))
% 12.09/12.35  Rule
% 12.09/12.35  [496]
% 12.09/12.35  multiplication(strong_iteration(one),strong_iteration(strong_iteration(one)))
% 12.09/12.35  -> strong_iteration(strong_iteration(one)) collapsed.
% 12.09/12.35  Current number of equations to process: 2533
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 514
% 12.09/12.35  New rule produced :
% 12.09/12.35  [573]
% 12.09/12.35  leq(multiplication(A,star(one)),multiplication(A,strong_iteration(B)) addition C)
% 12.09/12.35  -> true
% 12.09/12.35  Current number of equations to process: 2549
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 515
% 12.09/12.35  New rule produced :
% 12.09/12.35  [574]
% 12.09/12.35  leq(multiplication(star(one),A),multiplication(strong_iteration(B),A)) ->
% 12.09/12.35  true
% 12.09/12.35  Current number of equations to process: 2633
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 516
% 12.09/12.35  New rule produced :
% 12.09/12.35  [575]
% 12.09/12.35  leq(multiplication(star(one),A),multiplication(strong_iteration(B),A) addition C)
% 12.09/12.35  -> true
% 12.09/12.35  Current number of equations to process: 2632
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 517
% 12.09/12.35  New rule produced :
% 12.09/12.35  [576]
% 12.09/12.35  leq(multiplication(A,star(one)),multiplication(strong_iteration(B),A)) ->
% 12.09/12.35  true
% 12.09/12.35  Current number of equations to process: 2635
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 518
% 12.09/12.35  New rule produced :
% 12.09/12.35  [577]
% 12.09/12.35  leq(multiplication(A,star(one)),multiplication(strong_iteration(B),A) addition C)
% 12.09/12.35  -> true
% 12.09/12.35  Current number of equations to process: 2682
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 519
% 12.09/12.35  New rule produced :
% 12.09/12.35  [578]
% 12.09/12.35  multiplication(multiplication(A,strong_iteration(B)),star(C)) addition A ->
% 12.09/12.35  multiplication(multiplication(A,strong_iteration(B)),star(C))
% 12.09/12.35  Current number of equations to process: 2681
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 520
% 12.09/12.35  New rule produced :
% 12.09/12.35  [579]
% 12.09/12.35  multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C)) addition A
% 12.09/12.35  -> multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C))
% 12.09/12.35  Current number of equations to process: 2680
% 12.09/12.35  Current number of ordered equations: 0
% 12.09/12.35  Current number of rules: 521
% 12.09/12.35  New rule produced :
% 12.09/12.35  [580]
% 12.09/12.35  multiplication(star(A),multiplication(B,strong_iteration(C))) addition B ->
% 12.09/12.35  multiplication(star(A),multiplication(B,strong_iteration(C)))
% 12.09/12.35  Current number of equations to process: 2679
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 522
% 12.67/12.93  New rule produced :
% 12.67/12.93  [581]
% 12.67/12.93  multiplication(strong_iteration(A),multiplication(B,strong_iteration(C))) addition B
% 12.67/12.93  -> multiplication(strong_iteration(A),multiplication(B,strong_iteration(C)))
% 12.67/12.93  Current number of equations to process: 2677
% 12.67/12.93  Current number of ordered equations: 1
% 12.67/12.93  Current number of rules: 523
% 12.67/12.93  New rule produced :
% 12.67/12.93  [582]
% 12.67/12.93  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(A,
% 12.67/12.93                                                                   strong_iteration(A))
% 12.67/12.93  -> multiplication(strong_iteration(A),strong_iteration(B))
% 12.67/12.93  Current number of equations to process: 2677
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 524
% 12.67/12.93  New rule produced :
% 12.67/12.93  [583]
% 12.67/12.93  multiplication(multiplication(strong_iteration(A),B),star(C)) addition B ->
% 12.67/12.93  multiplication(multiplication(strong_iteration(A),B),star(C))
% 12.67/12.93  Current number of equations to process: 2673
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 525
% 12.67/12.93  New rule produced :
% 12.67/12.93  [584]
% 12.67/12.93  multiplication(multiplication(strong_iteration(A),B),strong_iteration(C)) addition B
% 12.67/12.93  -> multiplication(multiplication(strong_iteration(A),B),strong_iteration(C))
% 12.67/12.93  Current number of equations to process: 2671
% 12.67/12.93  Current number of ordered equations: 1
% 12.67/12.93  Current number of rules: 526
% 12.67/12.93  New rule produced :
% 12.67/12.93  [585]
% 12.67/12.93  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(B,
% 12.67/12.93                                                                   strong_iteration(B))
% 12.67/12.93  -> multiplication(strong_iteration(A),strong_iteration(B))
% 12.67/12.93  Current number of equations to process: 2671
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 527
% 12.67/12.93  New rule produced :
% 12.67/12.93  [586]
% 12.67/12.93  multiplication(star(A),multiplication(strong_iteration(B),C)) addition C ->
% 12.67/12.93  multiplication(star(A),multiplication(strong_iteration(B),C))
% 12.67/12.93  Current number of equations to process: 2670
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 528
% 12.67/12.93  New rule produced :
% 12.67/12.93  [587]
% 12.67/12.93  multiplication(strong_iteration(A),multiplication(strong_iteration(B),C)) addition C
% 12.67/12.93  -> multiplication(strong_iteration(A),multiplication(strong_iteration(B),C))
% 12.67/12.93  Current number of equations to process: 2669
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 529
% 12.67/12.93  New rule produced :
% 12.67/12.93  [588]
% 12.67/12.93  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 12.67/12.93                                                                   strong_iteration(B),zero)
% 12.67/12.93  -> multiplication(strong_iteration(A),strong_iteration(B))
% 12.67/12.93  Current number of equations to process: 2668
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 530
% 12.67/12.93  New rule produced :
% 12.67/12.93  [589]
% 12.67/12.93  star(multiplication(A,multiplication(B,zero))) <->
% 12.67/12.93  one addition multiplication(multiplication(A,B),zero)
% 12.67/12.93  Current number of equations to process: 2738
% 12.67/12.93  Current number of ordered equations: 1
% 12.67/12.93  Current number of rules: 531
% 12.67/12.93  New rule produced :
% 12.67/12.93  [590]
% 12.67/12.93  one addition multiplication(multiplication(A,B),zero) <->
% 12.67/12.93  star(multiplication(A,multiplication(B,zero)))
% 12.67/12.93  Current number of equations to process: 2738
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 532
% 12.67/12.93  New rule produced :
% 12.67/12.93  [591]
% 12.67/12.93  strong_iteration(multiplication(A,multiplication(B,zero))) <->
% 12.67/12.93  one addition multiplication(multiplication(A,B),zero)
% 12.67/12.93  Current number of equations to process: 2745
% 12.67/12.93  Current number of ordered equations: 1
% 12.67/12.93  Current number of rules: 533
% 12.67/12.93  New rule produced :
% 12.67/12.93  [592]
% 12.67/12.93  one addition multiplication(multiplication(A,B),zero) <->
% 12.67/12.93  strong_iteration(multiplication(A,multiplication(B,zero)))
% 12.67/12.93  Current number of equations to process: 2745
% 12.67/12.93  Current number of ordered equations: 0
% 12.67/12.93  Current number of rules: 534
% 12.67/12.93  Rule [590]
% 12.67/12.93       one addition multiplication(multiplication(A,B),zero) <->
% 12.67/12.93       star(multiplication(A,multiplication(B,zero))) is composed into 
% 12.67/12.93  [590]
% 12.67/12.93  one addition multiplication(multiplication(A,B),zero) <->
% 12.67/12.93  one addition multiplication(A,multiplication(B,zero))
% 12.67/12.93  New rule produced :
% 12.67/12.93  [593]
% 12.67/12.93  star(multiplication(A,multiplication(B,zero))) ->
% 12.67/12.93  one addition multiplication(A,multiplication(B,zero))
% 12.67/12.93  Rule
% 12.67/12.93  [589]
% 12.67/12.93  star(multiplication(A,multiplication(B,zero))) <->
% 13.01/13.28  one addition multiplication(multiplication(A,B),zero) collapsed.
% 13.01/13.28  Current number of equations to process: 2751
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 534
% 13.01/13.28  Rule [592]
% 13.01/13.28       one addition multiplication(multiplication(A,B),zero) <->
% 13.01/13.28       strong_iteration(multiplication(A,multiplication(B,zero))) is composed into 
% 13.01/13.28  [592]
% 13.01/13.28  one addition multiplication(multiplication(A,B),zero) <->
% 13.01/13.28  one addition multiplication(A,multiplication(B,zero))
% 13.01/13.28  New rule produced :
% 13.01/13.28  [594]
% 13.01/13.28  strong_iteration(multiplication(A,multiplication(B,zero))) ->
% 13.01/13.28  one addition multiplication(A,multiplication(B,zero))
% 13.01/13.28  Rule
% 13.01/13.28  [591]
% 13.01/13.28  strong_iteration(multiplication(A,multiplication(B,zero))) <->
% 13.01/13.28  one addition multiplication(multiplication(A,B),zero) collapsed.
% 13.01/13.28  Current number of equations to process: 2750
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 534
% 13.01/13.28  New rule produced :
% 13.01/13.28  [595]
% 13.01/13.28  leq(star(A),multiplication(strong_iteration(B),strong_iteration(A))) -> true
% 13.01/13.28  Current number of equations to process: 2758
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 535
% 13.01/13.28  New rule produced :
% 13.01/13.28  [596] leq(star(A),multiplication(star(B),strong_iteration(A))) -> true
% 13.01/13.28  Current number of equations to process: 2761
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 536
% 13.01/13.28  New rule produced :
% 13.01/13.28  [597]
% 13.01/13.28  leq(star(A),multiplication(strong_iteration(A),star(B)) addition C) -> true
% 13.01/13.28  Current number of equations to process: 2761
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 537
% 13.01/13.28  New rule produced :
% 13.01/13.28  [598]
% 13.01/13.28  leq(star(A),multiplication(strong_iteration(A),strong_iteration(B)) addition C)
% 13.01/13.28  -> true
% 13.01/13.28  Current number of equations to process: 2760
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 538
% 13.01/13.28  New rule produced :
% 13.01/13.28  [599]
% 13.01/13.28  leq(star(A),multiplication(star(B),strong_iteration(A)) addition C) -> true
% 13.01/13.28  Current number of equations to process: 2759
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 539
% 13.01/13.28  New rule produced :
% 13.01/13.28  [600]
% 13.01/13.28  leq(star(A),multiplication(strong_iteration(B),strong_iteration(A)) addition C)
% 13.01/13.28  -> true
% 13.01/13.28  Current number of equations to process: 2758
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 540
% 13.01/13.28  New rule produced :
% 13.01/13.28  [601]
% 13.01/13.28  multiplication(multiplication(A,B),star(C)) <->
% 13.01/13.28  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B)
% 13.01/13.28  Current number of equations to process: 2779
% 13.01/13.28  Current number of ordered equations: 1
% 13.01/13.28  Current number of rules: 541
% 13.01/13.28  New rule produced :
% 13.01/13.28  [602]
% 13.01/13.28  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) <->
% 13.01/13.28  multiplication(multiplication(A,B),star(C))
% 13.01/13.28  Current number of equations to process: 2779
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 542
% 13.01/13.28  Rule [601]
% 13.01/13.28       multiplication(multiplication(A,B),star(C)) <->
% 13.01/13.28       multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) is composed into 
% 13.01/13.28  [601]
% 13.01/13.28  multiplication(multiplication(A,B),star(C)) <->
% 13.01/13.28  multiplication(A,multiplication(B,star(C)))
% 13.01/13.28  New rule produced :
% 13.01/13.28  [603]
% 13.01/13.28  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) ->
% 13.01/13.28  multiplication(A,multiplication(B,star(C)))
% 13.01/13.28  Rule
% 13.01/13.28  [602]
% 13.01/13.28  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) <->
% 13.01/13.28  multiplication(multiplication(A,B),star(C)) collapsed.
% 13.01/13.28  Current number of equations to process: 2778
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 542
% 13.01/13.28  New rule produced :
% 13.01/13.28  [604]
% 13.01/13.28  multiplication(multiplication(A,star(B)),C) addition multiplication(A,C) ->
% 13.01/13.28  multiplication(multiplication(A,star(B)),C)
% 13.01/13.28  Current number of equations to process: 2777
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 543
% 13.01/13.28  New rule produced :
% 13.01/13.28  [605]
% 13.01/13.28  multiplication(multiplication(star(A),B),C) addition multiplication(B,C) <->
% 13.01/13.28  multiplication(star(A),multiplication(B,C))
% 13.01/13.28  Current number of equations to process: 2776
% 13.01/13.28  Current number of ordered equations: 1
% 13.01/13.28  Current number of rules: 544
% 13.01/13.28  New rule produced :
% 13.01/13.28  [606]
% 13.01/13.28  multiplication(star(A),multiplication(B,C)) <->
% 13.01/13.28  multiplication(multiplication(star(A),B),C) addition multiplication(B,C)
% 13.01/13.28  Current number of equations to process: 2776
% 13.01/13.28  Current number of ordered equations: 0
% 13.01/13.28  Current number of rules: 545
% 13.11/13.36  New rule produced :
% 13.11/13.36  [607]
% 13.11/13.36  multiplication(A,multiplication(star(B),C)) addition multiplication(A,C) ->
% 13.11/13.36  multiplication(A,multiplication(star(B),C))
% 13.11/13.36  Current number of equations to process: 2775
% 13.11/13.36  Current number of ordered equations: 0
% 13.11/13.36  Current number of rules: 546
% 13.11/13.36  Rule [606]
% 13.11/13.36       multiplication(star(A),multiplication(B,C)) <->
% 13.11/13.36       multiplication(multiplication(star(A),B),C) addition multiplication(B,C) is composed into 
% 13.11/13.36  [606]
% 13.11/13.36  multiplication(star(A),multiplication(B,C)) <->
% 13.11/13.36  multiplication(multiplication(star(A),B),C)
% 13.11/13.36  New rule produced :
% 13.11/13.36  [608]
% 13.11/13.36  multiplication(multiplication(star(A),B),C) addition multiplication(B,C) ->
% 13.11/13.36  multiplication(multiplication(star(A),B),C)
% 13.11/13.36  Rule
% 13.11/13.36  [605]
% 13.11/13.36  multiplication(multiplication(star(A),B),C) addition multiplication(B,C) <->
% 13.11/13.36  multiplication(star(A),multiplication(B,C)) collapsed.
% 13.11/13.36  Current number of equations to process: 2774
% 13.11/13.36  Current number of ordered equations: 0
% 13.11/13.36  Current number of rules: 546
% 13.11/13.36  New rule produced :
% 13.11/13.36  [609]
% 13.11/13.36  multiplication(multiplication(A,B),strong_iteration(C)) <->
% 13.11/13.36  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.11/13.36  Current number of equations to process: 2773
% 13.11/13.36  Current number of ordered equations: 1
% 13.11/13.36  Current number of rules: 547
% 13.11/13.36  New rule produced :
% 13.11/13.36  [610]
% 13.11/13.36  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.11/13.36  <-> multiplication(multiplication(A,B),strong_iteration(C))
% 13.11/13.36  Current number of equations to process: 2773
% 13.11/13.36  Current number of ordered equations: 0
% 13.11/13.36  Current number of rules: 548
% 13.11/13.36  Rule [609]
% 13.11/13.36       multiplication(multiplication(A,B),strong_iteration(C)) <->
% 13.11/13.36       multiplication(A,multiplication(B,strong_iteration(C))) addition 
% 13.11/13.36       multiplication(A,B) is composed into [609]
% 13.11/13.36                                            multiplication(multiplication(A,B),
% 13.11/13.36                                            strong_iteration(C)) <->
% 13.11/13.36                                            multiplication(A,multiplication(B,
% 13.11/13.36                                                             strong_iteration(C)))
% 13.11/13.36  New rule produced :
% 13.11/13.36  [611]
% 13.11/13.36  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.11/13.36  -> multiplication(A,multiplication(B,strong_iteration(C)))
% 13.11/13.36  Rule
% 13.11/13.36  [610]
% 13.11/13.36  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.11/13.36  <-> multiplication(multiplication(A,B),strong_iteration(C)) collapsed.
% 13.11/13.36  Current number of equations to process: 2772
% 13.11/13.36  Current number of ordered equations: 0
% 13.11/13.36  Current number of rules: 548
% 13.11/13.36  New rule produced :
% 13.11/13.36  [612]
% 13.11/13.36  multiplication(multiplication(A,strong_iteration(B)),C) addition multiplication(A,C)
% 13.11/13.36  -> multiplication(multiplication(A,strong_iteration(B)),C)
% 13.11/13.36  Current number of equations to process: 2771
% 13.11/13.36  Current number of ordered equations: 0
% 13.11/13.36  Current number of rules: 549
% 13.11/13.36  New rule produced :
% 13.11/13.36  [613]
% 13.11/13.36  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 13.11/13.36  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.11/13.36  Current number of equations to process: 2770
% 13.11/13.36  Current number of ordered equations: 1
% 13.11/13.36  Current number of rules: 550
% 13.11/13.36  New rule produced :
% 13.11/13.36  [614]
% 13.11/13.36  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.11/13.36  <-> multiplication(strong_iteration(A),multiplication(B,C))
% 13.11/13.36  Current number of equations to process: 2770
% 13.11/13.36  Current number of ordered equations: 0
% 13.11/13.36  Current number of rules: 551
% 13.11/13.36  New rule produced :
% 13.11/13.36  [615]
% 13.11/13.36  multiplication(A,multiplication(strong_iteration(B),C)) addition multiplication(A,C)
% 13.11/13.36  -> multiplication(A,multiplication(strong_iteration(B),C))
% 13.11/13.36  Current number of equations to process: 2769
% 13.11/13.36  Current number of ordered equations: 0
% 13.11/13.36  Current number of rules: 552
% 13.11/13.36  Rule [613]
% 13.11/13.36       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 13.11/13.36       multiplication(multiplication(strong_iteration(A),B),C) addition 
% 13.11/13.36       multiplication(B,C) is composed into [613]
% 13.11/13.36                                            multiplication(strong_iteration(A),
% 13.11/13.36                                            multiplication(B,C)) <->
% 13.11/13.36                                            multiplication(multiplication(
% 13.11/13.36                                                           strong_iteration(A),B),C)
% 13.11/13.36  New rule produced :
% 13.86/14.09  [616]
% 13.86/14.09  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.86/14.09  -> multiplication(multiplication(strong_iteration(A),B),C)
% 13.86/14.09  Rule
% 13.86/14.09  [614]
% 13.86/14.09  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.86/14.09  <-> multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 13.86/14.09  Current number of equations to process: 2768
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 552
% 13.86/14.09  New rule produced :
% 13.86/14.09  [617]
% 13.86/14.09  star(multiplication(A,zero) addition multiplication(B,zero)) ->
% 13.86/14.09  one addition multiplication(A,zero) addition multiplication(B,zero)
% 13.86/14.09  Current number of equations to process: 2767
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 553
% 13.86/14.09  New rule produced :
% 13.86/14.09  [618]
% 13.86/14.09  strong_iteration(multiplication(A,zero) addition multiplication(B,zero)) ->
% 13.86/14.09  one addition multiplication(A,zero) addition multiplication(B,zero)
% 13.86/14.09  Current number of equations to process: 2765
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 554
% 13.86/14.09  New rule produced :
% 13.86/14.09  [619]
% 13.86/14.09  leq(multiplication(star(one),multiplication(A,star(B))),multiplication(A,
% 13.86/14.09                                                          strong_iteration(B)))
% 13.86/14.09  -> true
% 13.86/14.09  Current number of equations to process: 2827
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 555
% 13.86/14.09  New rule produced :
% 13.86/14.09  [620]
% 13.86/14.09  leq(multiplication(multiplication(A,star(B)),star(one)),multiplication(A,
% 13.86/14.09                                                          strong_iteration(B)))
% 13.86/14.09  -> true
% 13.86/14.09  Current number of equations to process: 2830
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 556
% 13.86/14.09  New rule produced :
% 13.86/14.09  [621] leq(multiplication(star(A),A),strong_iteration(A)) -> true
% 13.86/14.09  Current number of equations to process: 2851
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 557
% 13.86/14.09  New rule produced :
% 13.86/14.09  [622] leq(multiplication(star(A),A),strong_iteration(A) addition B) -> true
% 13.86/14.09  Current number of equations to process: 2850
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 558
% 13.86/14.09  New rule produced :
% 13.86/14.09  [623]
% 13.86/14.09  leq(multiplication(star(A),A),multiplication(strong_iteration(B),star(A))) ->
% 13.86/14.09  true
% 13.86/14.09  Current number of equations to process: 2858
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 559
% 13.86/14.09  New rule produced :
% 13.86/14.09  [624] leq(multiplication(star(A),A),multiplication(star(A),star(B))) -> true
% 13.86/14.09  Current number of equations to process: 2857
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 560
% 13.86/14.09  New rule produced :
% 13.86/14.09  [625]
% 13.86/14.09  leq(multiplication(star(A),A),multiplication(star(A),strong_iteration(B))) ->
% 13.86/14.09  true
% 13.86/14.09  Current number of equations to process: 2856
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 561
% 13.86/14.09  New rule produced :
% 13.86/14.09  [626] leq(multiplication(star(A),A),multiplication(star(B),star(A))) -> true
% 13.86/14.09  Current number of equations to process: 2855
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 562
% 13.86/14.09  New rule produced :
% 13.86/14.09  [627]
% 13.86/14.09  leq(multiplication(star(A),A),multiplication(star(A),star(B)) addition C) ->
% 13.86/14.09  true
% 13.86/14.09  Current number of equations to process: 2853
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 563
% 13.86/14.09  New rule produced :
% 13.86/14.09  [628]
% 13.86/14.09  leq(multiplication(star(A),A),multiplication(star(A),strong_iteration(B)) addition C)
% 13.86/14.09  -> true
% 13.86/14.09  Current number of equations to process: 2852
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 564
% 13.86/14.09  New rule produced :
% 13.86/14.09  [629]
% 13.86/14.09  leq(multiplication(star(A),A),multiplication(star(B),star(A)) addition C) ->
% 13.86/14.09  true
% 13.86/14.09  Current number of equations to process: 2851
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 565
% 13.86/14.09  New rule produced :
% 13.86/14.09  [630]
% 13.86/14.09  leq(multiplication(star(A),A),multiplication(strong_iteration(B),star(A)) addition C)
% 13.86/14.09  -> true
% 13.86/14.09  Current number of equations to process: 2850
% 13.86/14.09  Current number of ordered equations: 0
% 13.86/14.09  Current number of rules: 566
% 13.86/14.09  New rule produced :
% 13.86/14.09  [631]
% 13.86/14.09  multiplication(star(A),star(B)) addition multiplication(C,star(C)) ->
% 13.86/14.09  star(C) addition multiplication(star(A),star(B))
% 13.86/14.09  Rule
% 13.86/14.09  [553]
% 13.86/14.09  multiplication(star(A),star(B)) addition multiplication(A,star(A)) ->
% 13.86/14.09  multiplication(star(A),star(B)) collapsed.
% 13.86/14.09  Rule
% 13.86/14.09  [557]
% 13.86/14.09  multiplication(star(A),star(B)) addition multiplication(B,star(B)) ->
% 14.14/14.37  multiplication(star(A),star(B)) collapsed.
% 14.14/14.37  Current number of equations to process: 2849
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 565
% 14.14/14.37  New rule produced :
% 14.14/14.37  [632]
% 14.14/14.37  multiplication(star(A),star(B)) addition multiplication(C,strong_iteration(C))
% 14.14/14.37  -> strong_iteration(C) addition multiplication(star(A),star(B))
% 14.14/14.37  Current number of equations to process: 2848
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 566
% 14.14/14.37  New rule produced :
% 14.14/14.37  [633]
% 14.14/14.37  multiplication(star(A),strong_iteration(B)) addition multiplication(C,
% 14.14/14.37                                                       strong_iteration(C)) ->
% 14.14/14.37  strong_iteration(C) addition multiplication(star(A),strong_iteration(B))
% 14.14/14.37  Rule
% 14.14/14.37  [559]
% 14.14/14.37  multiplication(star(A),strong_iteration(B)) addition multiplication(B,
% 14.14/14.37                                                       strong_iteration(B)) ->
% 14.14/14.37  multiplication(star(A),strong_iteration(B)) collapsed.
% 14.14/14.37  Current number of equations to process: 2847
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 566
% 14.14/14.37  New rule produced :
% 14.14/14.37  [634]
% 14.14/14.37  multiplication(strong_iteration(A),star(B)) addition multiplication(C,
% 14.14/14.37                                                       strong_iteration(C)) ->
% 14.14/14.37  strong_iteration(C) addition multiplication(strong_iteration(A),star(B))
% 14.14/14.37  Rule
% 14.14/14.37  [555]
% 14.14/14.37  multiplication(strong_iteration(A),star(B)) addition multiplication(A,
% 14.14/14.37                                                       strong_iteration(A)) ->
% 14.14/14.37  multiplication(strong_iteration(A),star(B)) collapsed.
% 14.14/14.37  Current number of equations to process: 2845
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 566
% 14.14/14.37  New rule produced :
% 14.14/14.37  [635]
% 14.14/14.37  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(C,
% 14.14/14.37                                                                   strong_iteration(C))
% 14.14/14.37  ->
% 14.14/14.37  strong_iteration(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 14.14/14.37  Rule
% 14.14/14.37  [582]
% 14.14/14.37  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(A,
% 14.14/14.37                                                                   strong_iteration(A))
% 14.14/14.37  -> multiplication(strong_iteration(A),strong_iteration(B)) collapsed.
% 14.14/14.37  Rule
% 14.14/14.37  [585]
% 14.14/14.37  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(B,
% 14.14/14.37                                                                   strong_iteration(B))
% 14.14/14.37  -> multiplication(strong_iteration(A),strong_iteration(B)) collapsed.
% 14.14/14.37  Current number of equations to process: 2840
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 565
% 14.14/14.37  New rule produced :
% 14.14/14.37  [636] leq(multiplication(star(star(A)),zero),star(A)) -> true
% 14.14/14.37  Current number of equations to process: 2835
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 566
% 14.14/14.37  New rule produced :
% 14.14/14.37  [637]
% 14.14/14.37  leq(multiplication(strong_iteration(A),zero),multiplication(strong_iteration(B),
% 14.14/14.37                                               strong_iteration(A))) -> true
% 14.14/14.37  Current number of equations to process: 2840
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 567
% 14.14/14.37  New rule produced :
% 14.14/14.37  [638]
% 14.14/14.37  leq(multiplication(strong_iteration(A),zero),multiplication(star(B),strong_iteration(A)))
% 14.14/14.37  -> true
% 14.14/14.37  Current number of equations to process: 2839
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 568
% 14.14/14.37  New rule produced :
% 14.14/14.37  [639]
% 14.14/14.37  leq(multiplication(strong_iteration(A),zero),multiplication(star(B),strong_iteration(A)) addition C)
% 14.14/14.37  -> true
% 14.14/14.37  Current number of equations to process: 2837
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 569
% 14.14/14.37  New rule produced :
% 14.14/14.37  [640]
% 14.14/14.37  leq(multiplication(strong_iteration(A),zero),multiplication(strong_iteration(B),
% 14.14/14.37                                               strong_iteration(A)) addition C)
% 14.14/14.37  -> true
% 14.14/14.37  Current number of equations to process: 2836
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 570
% 14.14/14.37  New rule produced : [641] leq(multiplication(star(A),zero),star(A)) -> true
% 14.14/14.37  Current number of equations to process: 2838
% 14.14/14.37  Current number of ordered equations: 0
% 14.14/14.37  Current number of rules: 571
% 14.14/14.37  New rule produced :
% 14.14/14.37  [642] leq(multiplication(star(A),zero),strong_iteration(A)) -> true
% 14.14/14.37  Current number of equations to process: 2840
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 572
% 14.66/14.89  New rule produced :
% 14.66/14.89  [643] leq(multiplication(A,star(A)),strong_iteration(A)) -> true
% 14.66/14.89  Current number of equations to process: 2867
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 573
% 14.66/14.89  New rule produced :
% 14.66/14.89  [644] leq(multiplication(A,star(A)),strong_iteration(A) addition B) -> true
% 14.66/14.89  Current number of equations to process: 2866
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 574
% 14.66/14.89  New rule produced :
% 14.66/14.89  [645]
% 14.66/14.89  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),star(A))) ->
% 14.66/14.89  true
% 14.66/14.89  Current number of equations to process: 2874
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 575
% 14.66/14.89  New rule produced :
% 14.66/14.89  [646] leq(multiplication(A,star(A)),multiplication(star(A),star(B))) -> true
% 14.66/14.89  Current number of equations to process: 2873
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 576
% 14.66/14.89  New rule produced :
% 14.66/14.89  [647]
% 14.66/14.89  leq(multiplication(A,star(A)),multiplication(star(A),strong_iteration(B))) ->
% 14.66/14.89  true
% 14.66/14.89  Current number of equations to process: 2872
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 577
% 14.66/14.89  New rule produced :
% 14.66/14.89  [648] leq(multiplication(A,star(A)),multiplication(star(B),star(A))) -> true
% 14.66/14.89  Current number of equations to process: 2871
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 578
% 14.66/14.89  New rule produced :
% 14.66/14.89  [649]
% 14.66/14.89  leq(multiplication(A,star(A)),multiplication(star(A),star(B)) addition C) ->
% 14.66/14.89  true
% 14.66/14.89  Current number of equations to process: 2869
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 579
% 14.66/14.89  New rule produced :
% 14.66/14.89  [650]
% 14.66/14.89  leq(multiplication(A,star(A)),multiplication(star(A),strong_iteration(B)) addition C)
% 14.66/14.89  -> true
% 14.66/14.89  Current number of equations to process: 2868
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 580
% 14.66/14.89  New rule produced :
% 14.66/14.89  [651]
% 14.66/14.89  leq(multiplication(A,star(A)),multiplication(star(B),star(A)) addition C) ->
% 14.66/14.89  true
% 14.66/14.89  Current number of equations to process: 2867
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 581
% 14.66/14.89  New rule produced :
% 14.66/14.89  [652]
% 14.66/14.89  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),star(A)) addition C)
% 14.66/14.89  -> true
% 14.66/14.89  Current number of equations to process: 2866
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 582
% 14.66/14.89  New rule produced :
% 14.66/14.89  [653]
% 14.66/14.89  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(B),
% 14.66/14.89                                            strong_iteration(A))) -> true
% 14.66/14.89  Current number of equations to process: 2876
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 583
% 14.66/14.89  New rule produced :
% 14.66/14.89  [654]
% 14.66/14.89  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 14.66/14.89                                            star(B))) -> true
% 14.66/14.89  Current number of equations to process: 2875
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 584
% 14.66/14.89  New rule produced :
% 14.66/14.89  [655]
% 14.66/14.89  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 14.66/14.89                                            strong_iteration(B))) -> true
% 14.66/14.89  Current number of equations to process: 2874
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 585
% 14.66/14.89  New rule produced :
% 14.66/14.89  [656]
% 14.66/14.89  leq(multiplication(A,strong_iteration(A)),multiplication(star(B),strong_iteration(A)))
% 14.66/14.89  -> true
% 14.66/14.89  Current number of equations to process: 2873
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 586
% 14.66/14.89  New rule produced :
% 14.66/14.89  [657]
% 14.66/14.89  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 14.66/14.89                                            star(B)) addition C) -> true
% 14.66/14.89  Current number of equations to process: 2871
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 587
% 14.66/14.89  New rule produced :
% 14.66/14.89  [658]
% 14.66/14.89  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 14.66/14.89                                            strong_iteration(B)) addition C) ->
% 14.66/14.89  true
% 14.66/14.89  Current number of equations to process: 2870
% 14.66/14.89  Current number of ordered equations: 0
% 14.66/14.89  Current number of rules: 588
% 14.66/14.89  New rule produced :
% 14.66/14.89  [659]
% 14.66/14.89  leq(multiplication(A,strong_iteration(A)),multiplication(star(B),strong_iteration(A)) addition C)
% 14.66/14.89  -> true
% 14.66/14.89  Current number of equations to process: 2869
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 589
% 16.17/16.42  New rule produced :
% 16.17/16.42  [660]
% 16.17/16.42  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(B),
% 16.17/16.42                                            strong_iteration(A)) addition C) ->
% 16.17/16.42  true
% 16.17/16.42  Current number of equations to process: 2868
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 590
% 16.17/16.42  New rule produced :
% 16.17/16.42  [661] leq(one addition A,star(B) addition multiplication(A,star(C))) -> true
% 16.17/16.42  Current number of equations to process: 2936
% 16.17/16.42  Current number of ordered equations: 1
% 16.17/16.42  Current number of rules: 591
% 16.17/16.42  New rule produced :
% 16.17/16.42  [662] leq(one addition A,multiplication(star(B),star(C)) addition A) -> true
% 16.17/16.42  Current number of equations to process: 2936
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 592
% 16.17/16.42  New rule produced :
% 16.17/16.42  [663]
% 16.17/16.42  leq(one addition A,star(B) addition multiplication(A,strong_iteration(C))) ->
% 16.17/16.42  true
% 16.17/16.42  Current number of equations to process: 2934
% 16.17/16.42  Current number of ordered equations: 1
% 16.17/16.42  Current number of rules: 593
% 16.17/16.42  New rule produced :
% 16.17/16.42  [664]
% 16.17/16.42  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition A) ->
% 16.17/16.42  true
% 16.17/16.42  Current number of equations to process: 2934
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 594
% 16.17/16.42  New rule produced :
% 16.17/16.42  [665] leq(one addition A,star(B) addition multiplication(star(C),A)) -> true
% 16.17/16.42  Current number of equations to process: 2932
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 595
% 16.17/16.42  New rule produced :
% 16.17/16.42  [666]
% 16.17/16.42  leq(one addition A,star(B) addition multiplication(strong_iteration(C),A)) ->
% 16.17/16.42  true
% 16.17/16.42  Current number of equations to process: 2930
% 16.17/16.42  Current number of ordered equations: 1
% 16.17/16.42  Current number of rules: 596
% 16.17/16.42  New rule produced :
% 16.17/16.42  [667]
% 16.17/16.42  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition A) ->
% 16.17/16.42  true
% 16.17/16.42  Current number of equations to process: 2930
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 597
% 16.17/16.42  New rule produced :
% 16.17/16.42  [668]
% 16.17/16.42  leq(one addition multiplication(A,zero),star(B) addition multiplication(A,C))
% 16.17/16.42  -> true
% 16.17/16.42  Current number of equations to process: 2937
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 598
% 16.17/16.42  New rule produced :
% 16.17/16.42  [669]
% 16.17/16.42  leq(one addition A,strong_iteration(B) addition multiplication(A,star(C))) ->
% 16.17/16.42  true
% 16.17/16.42  Current number of equations to process: 3012
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 599
% 16.17/16.42  New rule produced :
% 16.17/16.42  [670]
% 16.17/16.42  leq(one addition A,strong_iteration(B) addition multiplication(A,strong_iteration(C)))
% 16.17/16.42  -> true
% 16.17/16.42  Current number of equations to process: 3010
% 16.17/16.42  Current number of ordered equations: 1
% 16.17/16.42  Current number of rules: 600
% 16.17/16.42  New rule produced :
% 16.17/16.42  [671]
% 16.17/16.42  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition A)
% 16.17/16.42  -> true
% 16.17/16.42  Current number of equations to process: 3010
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 601
% 16.17/16.42  New rule produced :
% 16.17/16.42  [672]
% 16.17/16.42  leq(one addition A,strong_iteration(B) addition multiplication(star(C),A)) ->
% 16.17/16.42  true
% 16.17/16.42  Current number of equations to process: 3009
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 602
% 16.17/16.42  New rule produced :
% 16.17/16.42  [673]
% 16.17/16.42  leq(one addition A,strong_iteration(B) addition multiplication(strong_iteration(C),A))
% 16.17/16.42  -> true
% 16.17/16.42  Current number of equations to process: 3007
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 603
% 16.17/16.42  New rule produced :
% 16.17/16.42  [674]
% 16.17/16.42  leq(one addition multiplication(A,zero),strong_iteration(B) addition 
% 16.17/16.42                                          multiplication(A,C)) -> true
% 16.17/16.42  Current number of equations to process: 3014
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 604
% 16.17/16.42  New rule produced :
% 16.17/16.42  [675]
% 16.17/16.42  leq(multiplication(A,B),multiplication(multiplication(strong_iteration(C),A),B))
% 16.17/16.42  -> true
% 16.17/16.42  Current number of equations to process: 3029
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 605
% 16.17/16.42  New rule produced :
% 16.17/16.42  [676]
% 16.17/16.42  leq(A,multiplication(strong_iteration(strong_iteration(B)),zero)) -> true
% 16.17/16.42  Rule
% 16.17/16.42  [498]
% 16.17/16.42  leq(A,multiplication(strong_iteration(strong_iteration(one)),zero)) -> true
% 16.17/16.42  collapsed.
% 16.17/16.42  Current number of equations to process: 3034
% 16.17/16.42  Current number of ordered equations: 0
% 16.17/16.42  Current number of rules: 605
% 16.17/16.42  New rule produced :
% 17.51/17.74  [677]
% 17.51/17.74  leq(multiplication(star(A),A) addition multiplication(A,star(A)),star(A)) ->
% 17.51/17.74  true
% 17.51/17.74  Current number of equations to process: 3038
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 606
% 17.51/17.74  New rule produced :
% 17.51/17.74  [678]
% 17.51/17.74  leq(one addition A,star(B) addition multiplication(A,star(C)) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3036
% 17.51/17.74  Current number of ordered equations: 1
% 17.51/17.74  Current number of rules: 607
% 17.51/17.74  New rule produced :
% 17.51/17.74  [679]
% 17.51/17.74  leq(one addition A,multiplication(star(B),star(C)) addition A addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3036
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 608
% 17.51/17.74  New rule produced :
% 17.51/17.74  [680]
% 17.51/17.74  leq(one addition A,star(B) addition multiplication(A,strong_iteration(C)) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3034
% 17.51/17.74  Current number of ordered equations: 1
% 17.51/17.74  Current number of rules: 609
% 17.51/17.74  New rule produced :
% 17.51/17.74  [681]
% 17.51/17.74  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition A addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3034
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 610
% 17.51/17.74  New rule produced :
% 17.51/17.74  [682]
% 17.51/17.74  leq(one addition A,star(B) addition multiplication(star(C),A) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3032
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 611
% 17.51/17.74  New rule produced :
% 17.51/17.74  [683]
% 17.51/17.74  leq(one addition A,star(B) addition multiplication(strong_iteration(C),A) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3030
% 17.51/17.74  Current number of ordered equations: 1
% 17.51/17.74  Current number of rules: 612
% 17.51/17.74  New rule produced :
% 17.51/17.74  [684]
% 17.51/17.74  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition A addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3030
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 613
% 17.51/17.74  New rule produced :
% 17.51/17.74  [685]
% 17.51/17.74  leq(one addition A,strong_iteration(B) addition multiplication(A,star(C)) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3022
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 614
% 17.51/17.74  New rule produced :
% 17.51/17.74  [686]
% 17.51/17.74  leq(one addition A,strong_iteration(B) addition multiplication(A,strong_iteration(C)) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3020
% 17.51/17.74  Current number of ordered equations: 1
% 17.51/17.74  Current number of rules: 615
% 17.51/17.74  New rule produced :
% 17.51/17.74  [687]
% 17.51/17.74  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition A addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3020
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 616
% 17.51/17.74  New rule produced :
% 17.51/17.74  [688]
% 17.51/17.74  leq(one addition A,strong_iteration(B) addition multiplication(star(C),A) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3018
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 617
% 17.51/17.74  New rule produced :
% 17.51/17.74  [689]
% 17.51/17.74  leq(one addition A,strong_iteration(B) addition multiplication(strong_iteration(C),A) addition V_3)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3016
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 618
% 17.51/17.74  New rule produced :
% 17.51/17.74  [690]
% 17.51/17.74  leq(A addition B,multiplication(strong_iteration(C),A) addition multiplication(
% 17.51/17.74                                                                  strong_iteration(C),B))
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3009
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 619
% 17.51/17.74  New rule produced :
% 17.51/17.74  [691]
% 17.51/17.74  leq(star(A) addition star(B),strong_iteration(A) addition strong_iteration(B))
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3165
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 620
% 17.51/17.74  New rule produced :
% 17.51/17.74  [692]
% 17.51/17.74  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,star(C)))
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3171
% 17.51/17.74  Current number of ordered equations: 1
% 17.51/17.74  Current number of rules: 621
% 17.51/17.74  New rule produced :
% 17.51/17.74  [693]
% 17.51/17.74  leq(star(A) addition B,multiplication(strong_iteration(A),star(C)) addition B)
% 17.51/17.74  -> true
% 17.51/17.74  Current number of equations to process: 3171
% 17.51/17.74  Current number of ordered equations: 0
% 17.51/17.74  Current number of rules: 622
% 17.51/17.74  New rule produced :
% 17.51/17.74  [694]
% 17.51/17.74  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,
% 18.19/18.47                                                      strong_iteration(C))) ->
% 18.19/18.47  true
% 18.19/18.47  Current number of equations to process: 3169
% 18.19/18.47  Current number of ordered equations: 1
% 18.19/18.47  Current number of rules: 623
% 18.19/18.47  New rule produced :
% 18.19/18.47  [695]
% 18.19/18.47  leq(star(A) addition B,multiplication(strong_iteration(A),strong_iteration(C)) addition B)
% 18.19/18.47  -> true
% 18.19/18.47  Current number of equations to process: 3169
% 18.19/18.47  Current number of ordered equations: 0
% 18.19/18.47  Current number of rules: 624
% 18.19/18.47  New rule produced :
% 18.19/18.47  [696]
% 18.19/18.47  leq(star(A) addition B,strong_iteration(A) addition multiplication(star(C),B))
% 18.19/18.47  -> true
% 18.19/18.47  Current number of equations to process: 3167
% 18.19/18.47  Current number of ordered equations: 1
% 18.19/18.47  Current number of rules: 625
% 18.19/18.47  New rule produced :
% 18.19/18.47  [697]
% 18.19/18.47  leq(star(A) addition B,multiplication(star(C),strong_iteration(A)) addition B)
% 18.19/18.47  -> true
% 18.19/18.47  Current number of equations to process: 3167
% 18.19/18.47  Current number of ordered equations: 0
% 18.19/18.47  Current number of rules: 626
% 18.19/18.47  New rule produced :
% 18.19/18.47  [698]
% 18.19/18.47  leq(star(A) addition B,strong_iteration(A) addition multiplication(strong_iteration(C),B))
% 18.19/18.47  -> true
% 18.19/18.47  Current number of equations to process: 3165
% 18.19/18.47  Current number of ordered equations: 1
% 18.19/18.47  Current number of rules: 627
% 18.19/18.47  New rule produced :
% 18.19/18.47  [699]
% 18.19/18.47  leq(star(A) addition B,multiplication(strong_iteration(C),strong_iteration(A)) addition B)
% 18.19/18.47  -> true
% 18.19/18.47  Current number of equations to process: 3165
% 18.19/18.47  Current number of ordered equations: 0
% 18.19/18.47  Current number of rules: 628
% 18.19/18.47  New rule produced :
% 18.19/18.47  [700]
% 18.19/18.47  leq(star(A) addition star(B),strong_iteration(A) addition strong_iteration(B) addition C)
% 18.19/18.47  -> true
% 18.19/18.47  Current number of equations to process: 3164
% 18.19/18.47  Current number of ordered equations: 0
% 18.19/18.47  Current number of rules: 629
% 18.19/18.47  New rule produced :
% 18.19/18.47  [701]
% 18.19/18.47  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 18.19/18.47                                              multiplication(B,C)) -> true
% 18.19/18.47  Current number of equations to process: 3163
% 18.19/18.47  Current number of ordered equations: 0
% 18.19/18.47  Current number of rules: 630
% 18.19/18.47  New rule produced :
% 18.19/18.47  [702]
% 18.19/18.47  leq(one addition multiplication(strong_iteration(A),zero),strong_iteration(A))
% 18.19/18.47  -> true
% 18.19/18.47  Current number of equations to process: 3183
% 18.19/18.48  Current number of ordered equations: 0
% 18.19/18.48  Current number of rules: 631
% 18.19/18.48  New rule produced :
% 18.19/18.48  [703]
% 18.19/18.48  leq(one addition multiplication(strong_iteration(A),zero) addition B,
% 18.19/18.48  strong_iteration(A) addition B) -> true
% 18.19/18.48  Current number of equations to process: 3196
% 18.19/18.48  Current number of ordered equations: 0
% 18.19/18.48  Current number of rules: 632
% 18.19/18.48  New rule produced : [704] leq(multiplication(A,zero),A) -> true
% 18.19/18.48  Rule
% 18.19/18.48  [131]
% 18.19/18.48  leq(multiplication(strong_iteration(A),zero),strong_iteration(A)) -> true
% 18.19/18.48  collapsed.
% 18.19/18.48  Rule [641] leq(multiplication(star(A),zero),star(A)) -> true collapsed.
% 18.19/18.48  Current number of equations to process: 3211
% 18.19/18.48  Current number of ordered equations: 0
% 18.19/18.48  Current number of rules: 631
% 18.19/18.48  New rule produced : [705] leq(multiplication(A,zero),A addition B) -> true
% 18.19/18.48  Rule
% 18.19/18.48  [132]
% 18.19/18.48  leq(multiplication(strong_iteration(A),zero),strong_iteration(A) addition B)
% 18.19/18.48  -> true collapsed.
% 18.19/18.48  Current number of equations to process: 3219
% 18.19/18.48  Current number of ordered equations: 0
% 18.19/18.48  Current number of rules: 631
% 18.19/18.48  New rule produced :
% 18.19/18.48  [706]
% 18.19/18.48  multiplication(strong_iteration(A),B) addition multiplication(B,zero) ->
% 18.19/18.48  multiplication(strong_iteration(A),B)
% 18.19/18.48  Rule
% 18.19/18.48  [588]
% 18.19/18.48  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 18.19/18.48                                                                   strong_iteration(B),zero)
% 18.19/18.48  -> multiplication(strong_iteration(A),strong_iteration(B)) collapsed.
% 18.19/18.48  Current number of equations to process: 3218
% 18.19/18.48  Current number of ordered equations: 0
% 18.19/18.48  Current number of rules: 631
% 18.19/18.48  New rule produced :
% 18.19/18.48  [707]
% 18.19/18.48  multiplication(A,multiplication(B,zero)) addition multiplication(A,B) ->
% 18.19/18.48  multiplication(A,B)
% 18.19/18.48  Rule
% 18.19/18.48  [162]
% 18.19/18.48  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(
% 18.19/18.48                                                                  strong_iteration(B),zero))
% 18.19/18.48  -> multiplication(A,strong_iteration(B)) collapsed.
% 18.19/18.48  Current number of equations to process: 3217
% 18.19/18.48  Current number of ordered equations: 0
% 18.19/18.48  Current number of rules: 631
% 18.19/18.48  New rule produced :
% 18.19/18.48  [708]
% 18.19/18.48  strong_iteration(A) addition multiplication(star(A),zero) ->
% 18.19/18.48  strong_iteration(A)
% 18.70/19.01  Current number of equations to process: 3229
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 632
% 18.70/19.01  New rule produced :
% 18.70/19.01  [709] leq(multiplication(A,zero) addition B,A addition B) -> true
% 18.70/19.01  Rule
% 18.70/19.01  [147]
% 18.70/19.01  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B)
% 18.70/19.01  -> true collapsed.
% 18.70/19.01  Current number of equations to process: 3237
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 632
% 18.70/19.01  New rule produced :
% 18.70/19.01  [710]
% 18.70/19.01  multiplication(star(A),B) addition multiplication(B,zero) ->
% 18.70/19.01  multiplication(star(A),B)
% 18.70/19.01  Rule
% 18.70/19.01  [562]
% 18.70/19.01  multiplication(strong_iteration(A),zero) addition multiplication(star(B),
% 18.70/19.01                                                    strong_iteration(A)) ->
% 18.70/19.01  multiplication(star(B),strong_iteration(A)) collapsed.
% 18.70/19.01  Current number of equations to process: 3236
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 632
% 18.70/19.01  New rule produced :
% 18.70/19.01  [711] leq(multiplication(star(one),multiplication(A,zero)),A) -> true
% 18.70/19.01  Current number of equations to process: 3250
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 633
% 18.70/19.01  New rule produced : [712] leq(multiplication(A,zero),star(A)) -> true
% 18.70/19.01  Current number of equations to process: 3291
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 634
% 18.70/19.01  New rule produced :
% 18.70/19.01  [713] leq(multiplication(A,zero),star(A) addition B) -> true
% 18.70/19.01  Current number of equations to process: 3305
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 635
% 18.70/19.01  New rule produced :
% 18.70/19.01  [714] leq(one addition multiplication(star(A),zero),star(A)) -> true
% 18.70/19.01  Current number of equations to process: 3304
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 636
% 18.70/19.01  New rule produced :
% 18.70/19.01  [715]
% 18.70/19.01  multiplication(star(A),B) addition multiplication(A,zero) ->
% 18.70/19.01  multiplication(star(A),B)
% 18.70/19.01  Current number of equations to process: 3303
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 637
% 18.70/19.01  New rule produced :
% 18.70/19.01  [716]
% 18.70/19.01  leq(multiplication(star(one),multiplication(A,zero)),A addition B) -> true
% 18.70/19.01  Current number of equations to process: 3302
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 638
% 18.70/19.01  New rule produced :
% 18.70/19.01  [717] leq(one addition multiplication(A,zero),star(B) addition A) -> true
% 18.70/19.01  Current number of equations to process: 3301
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 639
% 18.70/19.01  New rule produced :
% 18.70/19.01  [718]
% 18.70/19.01  leq(one addition multiplication(A,zero),strong_iteration(B) addition A) ->
% 18.70/19.01  true
% 18.70/19.01  Current number of equations to process: 3300
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 640
% 18.70/19.01  New rule produced :
% 18.70/19.01  [719]
% 18.70/19.01  ifeq3(A,multiplication(A,zero),leq(A,multiplication(A,zero)),true) -> true
% 18.70/19.01  Rule
% 18.70/19.01  [418]
% 18.70/19.01  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),zero),leq(
% 18.70/19.01                                                                     strong_iteration(A),
% 18.70/19.01                                                                     multiplication(
% 18.70/19.01                                                                     strong_iteration(A),zero)),true)
% 18.70/19.01  -> true collapsed.
% 18.70/19.01  Current number of equations to process: 3298
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 640
% 18.70/19.01  New rule produced :
% 18.70/19.01  [720] leq(multiplication(A,zero) addition B,A addition B addition C) -> true
% 18.70/19.01  Rule
% 18.70/19.01  [236]
% 18.70/19.01  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B addition C)
% 18.70/19.01  -> true collapsed.
% 18.70/19.01  Current number of equations to process: 3297
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 640
% 18.70/19.01  New rule produced :
% 18.70/19.01  [721]
% 18.70/19.01  leq(one addition multiplication(star(A),zero),star(A) addition B) -> true
% 18.70/19.01  Current number of equations to process: 3295
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 641
% 18.70/19.01  New rule produced :
% 18.70/19.01  [722]
% 18.70/19.01  leq(one addition multiplication(strong_iteration(A),zero),strong_iteration(A) addition B)
% 18.70/19.01  -> true
% 18.70/19.01  Current number of equations to process: 3294
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 642
% 18.70/19.01  New rule produced :
% 18.70/19.01  [723]
% 18.70/19.01  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition B)
% 18.70/19.01  -> true
% 18.70/19.01  Current number of equations to process: 3293
% 18.70/19.01  Current number of ordered equations: 0
% 18.70/19.01  Current number of rules: 643
% 19.62/19.86  New rule produced :
% 19.62/19.86  [724]
% 19.62/19.86  multiplication(strong_iteration(A),star(B)) addition multiplication(B,zero)
% 19.62/19.86  -> multiplication(strong_iteration(A),star(B))
% 19.62/19.86  Current number of equations to process: 3292
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 644
% 19.62/19.86  New rule produced :
% 19.62/19.86  [725] leq(multiplication(A,zero) addition B,star(A) addition B) -> true
% 19.62/19.86  Current number of equations to process: 3307
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 645
% 19.62/19.86  New rule produced :
% 19.62/19.86  [726] leq(multiplication(star(one),multiplication(A,zero)),star(A)) -> true
% 19.62/19.86  Current number of equations to process: 3313
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 646
% 19.62/19.86  New rule produced :
% 19.62/19.86  [727] leq(one addition multiplication(A,zero),star(A)) -> true
% 19.62/19.86  Current number of equations to process: 3319
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 647
% 19.62/19.86  New rule produced :
% 19.62/19.86  [728] leq(multiplication(A,zero),strong_iteration(A)) -> true
% 19.62/19.86  Current number of equations to process: 3346
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 648
% 19.62/19.86  New rule produced :
% 19.62/19.86  [729] leq(multiplication(A,zero),strong_iteration(A) addition B) -> true
% 19.62/19.86  Current number of equations to process: 3360
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 649
% 19.62/19.86  New rule produced :
% 19.62/19.86  [730]
% 19.62/19.86  multiplication(strong_iteration(A),B) addition multiplication(A,zero) ->
% 19.62/19.86  multiplication(strong_iteration(A),B)
% 19.62/19.86  Current number of equations to process: 3359
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 650
% 19.62/19.86  New rule produced :
% 19.62/19.86  [731] leq(one addition multiplication(A,zero),star(A) addition B) -> true
% 19.62/19.86  Current number of equations to process: 3358
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 651
% 19.62/19.86  New rule produced :
% 19.62/19.86  [732]
% 19.62/19.86  multiplication(star(A),star(B)) addition multiplication(B,zero) ->
% 19.62/19.86  multiplication(star(A),star(B))
% 19.62/19.86  Current number of equations to process: 3357
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 652
% 19.62/19.86  New rule produced :
% 19.62/19.86  [733]
% 19.62/19.86  leq(multiplication(star(one),multiplication(A,zero)),star(A) addition B) ->
% 19.62/19.86  true
% 19.62/19.86  Current number of equations to process: 3356
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 653
% 19.62/19.86  New rule produced :
% 19.62/19.86  [734]
% 19.62/19.86  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(B,zero)
% 19.62/19.86  -> multiplication(strong_iteration(A),strong_iteration(B))
% 19.62/19.86  Current number of equations to process: 3352
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 654
% 19.62/19.86  New rule produced :
% 19.62/19.86  [735]
% 19.62/19.86  leq(multiplication(A,zero) addition B,strong_iteration(A) addition B) -> true
% 19.62/19.86  Current number of equations to process: 3368
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 655
% 19.62/19.86  New rule produced :
% 19.62/19.86  [736]
% 19.62/19.86  leq(multiplication(star(one),multiplication(A,zero)),strong_iteration(A)) ->
% 19.62/19.86  true
% 19.62/19.86  Current number of equations to process: 3374
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 656
% 19.62/19.86  New rule produced :
% 19.62/19.86  [737] leq(one addition multiplication(A,zero),strong_iteration(A)) -> true
% 19.62/19.86  Current number of equations to process: 3380
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 657
% 19.62/19.86  New rule produced :
% 19.62/19.86  [738]
% 19.62/19.86  leq(multiplication(A,zero),multiplication(multiplication(A,B),C)) -> true
% 19.62/19.86  Current number of equations to process: 3397
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 658
% 19.62/19.86  New rule produced :
% 19.62/19.86  [739]
% 19.62/19.86  leq(one addition multiplication(A,zero),strong_iteration(A) addition B) ->
% 19.62/19.86  true
% 19.62/19.86  Current number of equations to process: 3396
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 659
% 19.62/19.86  New rule produced :
% 19.62/19.86  [740]
% 19.62/19.86  multiplication(star(A),strong_iteration(B)) addition multiplication(B,zero)
% 19.62/19.86  -> multiplication(star(A),strong_iteration(B))
% 19.62/19.86  Current number of equations to process: 3395
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 660
% 19.62/19.86  New rule produced :
% 19.62/19.86  [741]
% 19.62/19.86  leq(multiplication(star(one),multiplication(A,zero)),strong_iteration(A) addition B)
% 19.62/19.86  -> true
% 19.62/19.86  Current number of equations to process: 3394
% 19.62/19.86  Current number of ordered equations: 0
% 19.62/19.86  Current number of rules: 661
% 19.62/19.86  New rule produced :
% 19.62/19.86  [742]
% 19.84/20.07  leq(multiplication(A,multiplication(B,zero)),multiplication(multiplication(A,B),C))
% 19.84/20.07  -> true
% 19.84/20.07  Current number of equations to process: 3389
% 19.84/20.07  Current number of ordered equations: 1
% 19.84/20.07  Current number of rules: 662
% 19.84/20.07  New rule produced :
% 19.84/20.07  [743]
% 19.84/20.07  leq(multiplication(multiplication(A,B),zero),multiplication(A,multiplication(B,C)))
% 19.84/20.07  -> true
% 19.84/20.07  Current number of equations to process: 3389
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 663
% 19.84/20.07  New rule produced :
% 19.84/20.07  [744]
% 19.84/20.07  leq(multiplication(A,zero),multiplication(multiplication(multiplication(A,B),C),V_3))
% 19.84/20.07  -> true
% 19.84/20.07  Current number of equations to process: 3394
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 664
% 19.84/20.07  New rule produced :
% 19.84/20.07  [745]
% 19.84/20.07  leq(multiplication(A,zero),multiplication(strong_iteration(A),zero)) -> true
% 19.84/20.07  Current number of equations to process: 3395
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 665
% 19.84/20.07  New rule produced :
% 19.84/20.07  [746]
% 19.84/20.07  leq(multiplication(A,zero),multiplication(strong_iteration(B),multiplication(A,C)))
% 19.84/20.07  -> true
% 19.84/20.07  Current number of equations to process: 3400
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 666
% 19.84/20.07  New rule produced :
% 19.84/20.07  [747]
% 19.84/20.07  leq(multiplication(A,zero),multiplication(multiplication(A,B),C) addition V_3)
% 19.84/20.07  -> true
% 19.84/20.07  Current number of equations to process: 3399
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 667
% 19.84/20.07  New rule produced :
% 19.84/20.07  [748]
% 19.84/20.07  star(multiplication(A,B)) addition multiplication(A,multiplication(B,zero))
% 19.84/20.07  -> star(multiplication(A,B))
% 19.84/20.07  Current number of equations to process: 3398
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 668
% 19.84/20.07  New rule produced :
% 19.84/20.07  [749]
% 19.84/20.07  multiplication(A,star(B)) addition multiplication(A,multiplication(B,zero))
% 19.84/20.07  -> multiplication(A,star(B))
% 19.84/20.07  Current number of equations to process: 3397
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 669
% 19.84/20.07  New rule produced :
% 19.84/20.07  [750]
% 19.84/20.07  strong_iteration(multiplication(A,B)) addition multiplication(A,multiplication(B,zero))
% 19.84/20.07  -> strong_iteration(multiplication(A,B))
% 19.84/20.07  Current number of equations to process: 3396
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 670
% 19.84/20.07  New rule produced :
% 19.84/20.07  [751]
% 19.84/20.07  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(B,zero))
% 19.84/20.07  -> multiplication(A,strong_iteration(B))
% 19.84/20.07  Current number of equations to process: 3395
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 671
% 19.84/20.07  New rule produced :
% 19.84/20.07  [752]
% 19.84/20.07  ifeq2(leq(A,multiplication(A,zero)),true,A,multiplication(A,zero)) ->
% 19.84/20.07  multiplication(A,zero)
% 19.84/20.07  Current number of equations to process: 3394
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 672
% 19.84/20.07  New rule produced :
% 19.84/20.07  [753] ifeq(leq(A,zero),true,leq(multiplication(star(A),A),zero),true) -> true
% 19.84/20.07  Current number of equations to process: 3393
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 673
% 19.84/20.07  New rule produced :
% 19.84/20.07  [754]
% 19.84/20.07  leq(one addition multiplication(A,zero),star(B) addition A addition C) ->
% 19.84/20.07  true
% 19.84/20.07  Current number of equations to process: 3391
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 674
% 19.84/20.07  New rule produced :
% 19.84/20.07  [755]
% 19.84/20.07  leq(one addition multiplication(A,zero),strong_iteration(B) addition A addition C)
% 19.84/20.07  -> true
% 19.84/20.07  Current number of equations to process: 3390
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 675
% 19.84/20.07  New rule produced :
% 19.84/20.07  [756]
% 19.84/20.07  leq(multiplication(star(A),zero) addition multiplication(A,star(A)),star(A))
% 19.84/20.07  -> true
% 19.84/20.07  Current number of equations to process: 3389
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 676
% 19.84/20.07  New rule produced :
% 19.84/20.07  [757]
% 19.84/20.07  leq(multiplication(strong_iteration(A),zero) addition multiplication(A,
% 19.84/20.07                                                        strong_iteration(A)),
% 19.84/20.07  strong_iteration(A)) -> true
% 19.84/20.07  Current number of equations to process: 3388
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 677
% 19.84/20.07  New rule produced :
% 19.84/20.07  [758]
% 19.84/20.07  leq(multiplication(A,zero) addition B,star(A) addition B addition C) -> true
% 19.84/20.07  Current number of equations to process: 3387
% 19.84/20.07  Current number of ordered equations: 0
% 19.84/20.07  Current number of rules: 678
% 19.84/20.07  New rule produced :
% 19.84/20.07  [759]
% 19.84/20.07  leq(one addition multiplication(A,zero) addition B,star(A) addition B) ->
% 20.77/20.99  true
% 20.77/20.99  Current number of equations to process: 3386
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 679
% 20.77/20.99  New rule produced :
% 20.77/20.99  [760]
% 20.77/20.99  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 20.77/20.99                                              star(B)) -> true
% 20.77/20.99  Current number of equations to process: 3385
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 680
% 20.77/20.99  New rule produced :
% 20.77/20.99  [761]
% 20.77/20.99  leq(multiplication(A,zero) addition B,strong_iteration(A) addition B addition C)
% 20.77/20.99  -> true
% 20.77/20.99  Current number of equations to process: 3384
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 681
% 20.77/20.99  New rule produced :
% 20.77/20.99  [762]
% 20.77/20.99  leq(one addition multiplication(A,zero) addition B,strong_iteration(A) addition B)
% 20.77/20.99  -> true
% 20.77/20.99  Current number of equations to process: 3383
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 682
% 20.77/20.99  New rule produced :
% 20.77/20.99  [763]
% 20.77/20.99  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 20.77/20.99                                              strong_iteration(B)) -> true
% 20.77/20.99  Current number of equations to process: 3382
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 683
% 20.77/20.99  New rule produced :
% 20.77/20.99  [764]
% 20.77/20.99  leq(multiplication(A,zero),multiplication(strong_iteration(B),multiplication(A,C)) addition V_3)
% 20.77/20.99  -> true
% 20.77/20.99  Current number of equations to process: 3381
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 684
% 20.77/20.99  New rule produced :
% 20.77/20.99  [765]
% 20.77/20.99  leq(multiplication(A,zero),multiplication(strong_iteration(A),B)) -> true
% 20.77/20.99  Rule
% 20.77/20.99  [745]
% 20.77/20.99  leq(multiplication(A,zero),multiplication(strong_iteration(A),zero)) -> true
% 20.77/20.99  collapsed.
% 20.77/20.99  Current number of equations to process: 3381
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 684
% 20.77/20.99  New rule produced :
% 20.77/20.99  [766]
% 20.77/20.99  leq(multiplication(A,zero),multiplication(star(B),multiplication(A,C))) ->
% 20.77/20.99  true
% 20.77/20.99  Current number of equations to process: 3387
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 685
% 20.77/20.99  New rule produced :
% 20.77/20.99  [767]
% 20.77/20.99  leq(multiplication(A,zero),multiplication(star(B),multiplication(A,C)) addition V_3)
% 20.77/20.99  -> true
% 20.77/20.99  Current number of equations to process: 3386
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 686
% 20.77/20.99  New rule produced :
% 20.77/20.99  [768]
% 20.77/20.99  multiplication(multiplication(A,star(B)),zero) addition multiplication(A,
% 20.77/20.99                                                          strong_iteration(B))
% 20.77/20.99  -> multiplication(A,strong_iteration(B))
% 20.77/20.99  Current number of equations to process: 3413
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 687
% 20.77/20.99  New rule produced :
% 20.77/20.99  [769]
% 20.77/20.99  leq(A,multiplication(strong_iteration(strong_iteration(B)),star(B))) -> true
% 20.77/20.99  Current number of equations to process: 3415
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 688
% 20.77/20.99  New rule produced :
% 20.77/20.99  [770] star(strong_iteration(A)) addition star(A) -> star(strong_iteration(A))
% 20.77/20.99  Current number of equations to process: 3479
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 689
% 20.77/20.99  New rule produced :
% 20.77/20.99  [771]
% 20.77/20.99  strong_iteration(strong_iteration(A)) addition star(A) ->
% 20.77/20.99  strong_iteration(strong_iteration(A))
% 20.77/20.99  Current number of equations to process: 3480
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 690
% 20.77/20.99  New rule produced :
% 20.77/20.99  [772]
% 20.77/20.99  ifeq3(A addition B,A,leq(multiplication(A,zero) addition B,A),true) -> true
% 20.77/20.99  Current number of equations to process: 3479
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 691
% 20.77/20.99  New rule produced :
% 20.77/20.99  [773]
% 20.77/20.99  ifeq2(leq(multiplication(A,zero) addition B,A),true,A addition B,A) -> A
% 20.77/20.99  Current number of equations to process: 3478
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 692
% 20.77/20.99  New rule produced :
% 20.77/20.99  [774]
% 20.77/20.99  leq(one addition multiplication(star(A),zero) addition B,star(A) addition B)
% 20.77/20.99  -> true
% 20.77/20.99  Current number of equations to process: 3477
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 693
% 20.77/20.99  New rule produced :
% 20.77/20.99  [775]
% 20.77/20.99  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition B addition C)
% 20.77/20.99  -> true
% 20.77/20.99  Current number of equations to process: 3476
% 20.77/20.99  Current number of ordered equations: 0
% 20.77/20.99  Current number of rules: 694
% 20.77/20.99  New rule produced :
% 20.77/20.99  [776]
% 20.77/20.99  ifeq3(star(A),multiplication(A,zero),leq(star(A),multiplication(A,zero)),true)
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3475
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 695
% 21.49/21.76  New rule produced :
% 21.49/21.76  [777]
% 21.49/21.76  ifeq3(strong_iteration(A),multiplication(A,zero),leq(strong_iteration(A),
% 21.49/21.76                                                   multiplication(A,zero)),true)
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3472
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 696
% 21.49/21.76  New rule produced :
% 21.49/21.76  [778]
% 21.49/21.76  leq(multiplication(multiplication(A,B),zero),multiplication(A,multiplication(
% 21.49/21.76                                                                multiplication(B,C),V_3)))
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3469
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 697
% 21.49/21.76  New rule produced :
% 21.49/21.76  [779]
% 21.49/21.76  leq(multiplication(multiplication(A,B),zero),multiplication(multiplication(A,
% 21.49/21.76                                                              multiplication(B,C)),V_3))
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3468
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 698
% 21.49/21.76  New rule produced :
% 21.49/21.76  [780]
% 21.49/21.76  leq(multiplication(A,multiplication(B,zero)),multiplication(multiplication(A,B),C) addition V_3)
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3466
% 21.49/21.76  Current number of ordered equations: 1
% 21.49/21.76  Current number of rules: 699
% 21.49/21.76  New rule produced :
% 21.49/21.76  [781]
% 21.49/21.76  leq(multiplication(multiplication(A,B),zero),multiplication(A,multiplication(B,C)) addition V_3)
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3466
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 700
% 21.49/21.76  New rule produced :
% 21.49/21.76  [782]
% 21.49/21.76  leq(multiplication(A,zero),multiplication(multiplication(multiplication(A,B),C),V_3) addition V_4)
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3465
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 701
% 21.49/21.76  New rule produced :
% 21.49/21.76  [783]
% 21.49/21.76  star(A) addition multiplication(multiplication(strong_iteration(A),B),C) <->
% 21.49/21.76  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 21.49/21.76  Current number of equations to process: 3464
% 21.49/21.76  Current number of ordered equations: 1
% 21.49/21.76  Current number of rules: 702
% 21.49/21.76  New rule produced :
% 21.49/21.76  [784]
% 21.49/21.76  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 21.49/21.76  <-> star(A) addition multiplication(multiplication(strong_iteration(A),B),C)
% 21.49/21.76  Current number of equations to process: 3464
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 703
% 21.49/21.76  New rule produced :
% 21.49/21.76  [785]
% 21.49/21.76  star(multiplication(A,B)) addition multiplication(A,zero) ->
% 21.49/21.76  star(multiplication(A,B))
% 21.49/21.76  Current number of equations to process: 3498
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 704
% 21.49/21.76  New rule produced :
% 21.49/21.76  [786]
% 21.49/21.76  strong_iteration(multiplication(A,B)) addition multiplication(A,zero) ->
% 21.49/21.76  strong_iteration(multiplication(A,B))
% 21.49/21.76  Current number of equations to process: 3497
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 705
% 21.49/21.76  New rule produced :
% 21.49/21.76  [787]
% 21.49/21.76  multiplication(multiplication(A,strong_iteration(A)),multiplication(A,zero))
% 21.49/21.76  -> multiplication(strong_iteration(A),multiplication(A,zero))
% 21.49/21.76  Current number of equations to process: 3514
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 706
% 21.49/21.76  New rule produced :
% 21.49/21.76  [788]
% 21.49/21.76  multiplication(multiplication(A,star(A)),multiplication(A,zero)) ->
% 21.49/21.76  multiplication(star(A),multiplication(A,zero))
% 21.49/21.76  Current number of equations to process: 3557
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 707
% 21.49/21.76  New rule produced :
% 21.49/21.76  [789]
% 21.49/21.76  multiplication(multiplication(star(A),A),multiplication(star(A),zero)) ->
% 21.49/21.76  multiplication(star(A),multiplication(star(A),zero))
% 21.49/21.76  Current number of equations to process: 3563
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 708
% 21.49/21.76  New rule produced :
% 21.49/21.76  [790]
% 21.49/21.76  leq(multiplication(A,zero) addition B,multiplication(multiplication(A,C),V_3) addition B)
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3562
% 21.49/21.76  Current number of ordered equations: 0
% 21.49/21.76  Current number of rules: 709
% 21.49/21.76  New rule produced :
% 21.49/21.76  [791]
% 21.49/21.76  leq(multiplication(star(one),multiplication(A,zero)),multiplication(multiplication(A,B),C))
% 21.49/21.76  -> true
% 21.49/21.76  Current number of equations to process: 3566
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 710
% 23.96/24.21  New rule produced :
% 23.96/24.21  [792]
% 23.96/24.21  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 23.96/24.21                                                          strong_iteration(A),B))
% 23.96/24.21  -> true
% 23.96/24.21  Current number of equations to process: 3603
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 711
% 23.96/24.21  Rule [784]
% 23.96/24.21       strong_iteration(A) addition multiplication(strong_iteration(A),
% 23.96/24.21                                    multiplication(B,C)) <->
% 23.96/24.21       star(A) addition multiplication(multiplication(strong_iteration(A),B),C) is composed into 
% 23.96/24.21  [784]
% 23.96/24.21  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 23.96/24.21  <->
% 23.96/24.21  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),B),C)
% 23.96/24.21  New rule produced :
% 23.96/24.21  [793]
% 23.96/24.21  star(A) addition multiplication(multiplication(strong_iteration(A),B),C) ->
% 23.96/24.21  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),B),C)
% 23.96/24.21  Rule
% 23.96/24.21  [783]
% 23.96/24.21  star(A) addition multiplication(multiplication(strong_iteration(A),B),C) <->
% 23.96/24.21  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 23.96/24.21  collapsed.
% 23.96/24.21  Current number of equations to process: 3602
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 711
% 23.96/24.21  New rule produced :
% 23.96/24.21  [794]
% 23.96/24.21  leq(multiplication(star(A),zero) addition B,multiplication(star(A),B)) ->
% 23.96/24.21  true
% 23.96/24.21  Current number of equations to process: 3616
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 712
% 23.96/24.21  New rule produced :
% 23.96/24.21  [795]
% 23.96/24.21  star(strong_iteration(A)) addition multiplication(A,star(strong_iteration(A)))
% 23.96/24.21  -> star(strong_iteration(A)) addition A
% 23.96/24.21  Current number of equations to process: 3669
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 713
% 23.96/24.21  New rule produced :
% 23.96/24.21  [796]
% 23.96/24.21  multiplication(multiplication(A,B),star(B)) addition multiplication(A,
% 23.96/24.21                                                       star(B)) ->
% 23.96/24.21  multiplication(A,star(B))
% 23.96/24.21  Current number of equations to process: 3668
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 714
% 23.96/24.21  New rule produced :
% 23.96/24.21  [797]
% 23.96/24.21  leq(multiplication(multiplication(A,B),star(B)),multiplication(A,star(B))) ->
% 23.96/24.21  true
% 23.96/24.21  Current number of equations to process: 3744
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 715
% 23.96/24.21  New rule produced :
% 23.96/24.21  [798]
% 23.96/24.21  star(star(A)) addition multiplication(A,star(star(A))) ->
% 23.96/24.21  star(star(A)) addition A
% 23.96/24.21  Current number of equations to process: 3743
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 716
% 23.96/24.21  New rule produced :
% 23.96/24.21  [799]
% 23.96/24.21  multiplication(multiplication(A,B),zero) addition multiplication(A,star(B))
% 23.96/24.21  -> multiplication(A,star(B))
% 23.96/24.21  Current number of equations to process: 3742
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 717
% 23.96/24.21  New rule produced :
% 23.96/24.21  [800]
% 23.96/24.21  multiplication(A,star(B)) addition multiplication(A,B) ->
% 23.96/24.21  multiplication(A,star(B))
% 23.96/24.21  Current number of equations to process: 3800
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 718
% 23.96/24.21  New rule produced :
% 23.96/24.21  [801]
% 23.96/24.21  leq(multiplication(multiplication(A,B),zero),multiplication(A,star(B))) ->
% 23.96/24.21  true
% 23.96/24.21  Current number of equations to process: 3853
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 719
% 23.96/24.21  New rule produced :
% 23.96/24.21  [802]
% 23.96/24.21  leq(multiplication(multiplication(A,B),zero),multiplication(A,star(B)) addition C)
% 23.96/24.21  -> true
% 23.96/24.21  Current number of equations to process: 3890
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 720
% 23.96/24.21  New rule produced :
% 23.96/24.21  [803]
% 23.96/24.21  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 23.96/24.21                                                          star(B))) -> true
% 23.96/24.21  Current number of equations to process: 3889
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 721
% 23.96/24.21  New rule produced :
% 23.96/24.21  [804]
% 23.96/24.21  multiplication(multiplication(A,B),strong_iteration(B)) addition multiplication(A,
% 23.96/24.21                                                                   star(B)) ->
% 23.96/24.21  multiplication(A,strong_iteration(B))
% 23.96/24.21  Current number of equations to process: 3887
% 23.96/24.21  Current number of ordered equations: 0
% 23.96/24.21  Current number of rules: 722
% 23.96/24.21  New rule produced :
% 23.96/24.21  [805]
% 23.96/24.21  leq(multiplication(multiplication(A,B),star(B)),multiplication(A,star(B)) addition C)
% 24.12/24.38  -> true
% 24.12/24.38  Current number of equations to process: 3886
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 723
% 24.12/24.38  New rule produced :
% 24.12/24.38  [806]
% 24.12/24.38  multiplication(multiplication(A,strong_iteration(A)),multiplication(B,zero)) addition B
% 24.12/24.38  -> multiplication(strong_iteration(A),multiplication(B,zero)) addition B
% 24.12/24.38  Current number of equations to process: 3885
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 724
% 24.12/24.38  New rule produced :
% 24.12/24.38  [807]
% 24.12/24.38  multiplication(multiplication(A,star(A)),multiplication(B,zero)) addition B
% 24.12/24.38  -> multiplication(star(A),multiplication(B,zero)) addition B
% 24.12/24.38  Current number of equations to process: 3884
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 725
% 24.12/24.38  New rule produced :
% 24.12/24.38  [808]
% 24.12/24.38  multiplication(multiplication(star(A),A),multiplication(B,zero)) addition B
% 24.12/24.38  -> multiplication(star(A),multiplication(B,zero)) addition B
% 24.12/24.38  Current number of equations to process: 3883
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 726
% 24.12/24.38  New rule produced :
% 24.12/24.38  [809]
% 24.12/24.38  star(A addition B) addition multiplication(A,zero) addition multiplication(B,zero)
% 24.12/24.38  -> star(A addition B)
% 24.12/24.38  Current number of equations to process: 3882
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 727
% 24.12/24.38  New rule produced :
% 24.12/24.38  [810]
% 24.12/24.38  strong_iteration(A addition B) addition multiplication(A,zero) addition 
% 24.12/24.38  multiplication(B,zero) -> strong_iteration(A addition B)
% 24.12/24.38  Current number of equations to process: 3881
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 728
% 24.12/24.38  New rule produced :
% 24.12/24.38  [811]
% 24.12/24.38  strong_iteration(A) addition multiplication(multiplication(star(A),B),
% 24.12/24.38                               star(B)) ->
% 24.12/24.38  strong_iteration(A) addition multiplication(star(A),star(B))
% 24.12/24.38  Current number of equations to process: 3878
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 729
% 24.12/24.38  New rule produced :
% 24.12/24.38  [812]
% 24.12/24.38  star(A) addition multiplication(multiplication(A,star(A)),star(B)) ->
% 24.12/24.38  one addition multiplication(multiplication(A,star(A)),star(B))
% 24.12/24.38  Current number of equations to process: 3877
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 730
% 24.12/24.38  New rule produced :
% 24.12/24.38  [813]
% 24.12/24.38  star(A) addition multiplication(multiplication(star(A),A),star(B)) ->
% 24.12/24.38  one addition multiplication(multiplication(star(A),A),star(B))
% 24.12/24.38  Current number of equations to process: 3876
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 731
% 24.12/24.38  New rule produced :
% 24.12/24.38  [814]
% 24.12/24.38  strong_iteration(A) addition multiplication(multiplication(A,strong_iteration(A)),
% 24.12/24.38                               star(B)) ->
% 24.12/24.38  one addition multiplication(multiplication(A,strong_iteration(A)),star(B))
% 24.12/24.38  Current number of equations to process: 3875
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 732
% 24.12/24.38  New rule produced :
% 24.12/24.38  [815]
% 24.12/24.38  star(A) addition multiplication(star(B),multiplication(A,star(A))) ->
% 24.12/24.38  one addition multiplication(star(B),multiplication(A,star(A)))
% 24.12/24.38  Current number of equations to process: 3874
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 733
% 24.12/24.38  New rule produced :
% 24.12/24.38  [816]
% 24.12/24.38  star(A) addition multiplication(star(B),multiplication(star(A),A)) ->
% 24.12/24.38  one addition multiplication(star(B),multiplication(star(A),A))
% 24.12/24.38  Current number of equations to process: 3873
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 734
% 24.12/24.38  New rule produced :
% 24.12/24.38  [817]
% 24.12/24.38  strong_iteration(A) addition multiplication(star(B),multiplication(A,
% 24.12/24.38                                                      strong_iteration(A))) ->
% 24.12/24.38  one addition multiplication(star(B),multiplication(A,strong_iteration(A)))
% 24.12/24.38  Current number of equations to process: 3872
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 735
% 24.12/24.38  New rule produced :
% 24.12/24.38  [818]
% 24.12/24.38  star(A) addition multiplication(multiplication(A,star(A)),strong_iteration(B))
% 24.12/24.38  -> one addition multiplication(multiplication(A,star(A)),strong_iteration(B))
% 24.12/24.38  Current number of equations to process: 3871
% 24.12/24.38  Current number of ordered equations: 0
% 24.12/24.38  Current number of rules: 736
% 24.12/24.38  New rule produced :
% 24.12/24.38  [819]
% 24.12/24.38  star(A) addition multiplication(multiplication(star(A),A),strong_iteration(B))
% 24.12/24.38  -> one addition multiplication(multiplication(star(A),A),strong_iteration(B))
% 24.26/24.53  Current number of equations to process: 3870
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 737
% 24.26/24.53  New rule produced :
% 24.26/24.53  [820]
% 24.26/24.53  strong_iteration(A) addition multiplication(multiplication(A,strong_iteration(A)),
% 24.26/24.53                               strong_iteration(B)) ->
% 24.26/24.53  one addition multiplication(multiplication(A,strong_iteration(A)),strong_iteration(B))
% 24.26/24.53  Current number of equations to process: 3869
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 738
% 24.26/24.53  New rule produced :
% 24.26/24.53  [821]
% 24.26/24.53  star(A) addition multiplication(strong_iteration(B),multiplication(A,star(A)))
% 24.26/24.53  -> one addition multiplication(strong_iteration(B),multiplication(A,star(A)))
% 24.26/24.53  Current number of equations to process: 3868
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 739
% 24.26/24.53  New rule produced :
% 24.26/24.53  [822]
% 24.26/24.53  star(A) addition multiplication(strong_iteration(B),multiplication(star(A),A))
% 24.26/24.53  -> one addition multiplication(strong_iteration(B),multiplication(star(A),A))
% 24.26/24.53  Current number of equations to process: 3867
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 740
% 24.26/24.53  New rule produced :
% 24.26/24.53  [823]
% 24.26/24.53  strong_iteration(A) addition multiplication(strong_iteration(B),multiplication(A,
% 24.26/24.53                                                                  strong_iteration(A)))
% 24.26/24.53  ->
% 24.26/24.53  one addition multiplication(strong_iteration(B),multiplication(A,strong_iteration(A)))
% 24.26/24.53  Current number of equations to process: 3866
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 741
% 24.26/24.53  New rule produced :
% 24.26/24.53  [824]
% 24.26/24.53  leq(multiplication(star(one),multiplication(A,star(B))),multiplication(A,
% 24.26/24.53                                                          strong_iteration(B)) addition C)
% 24.26/24.53  -> true
% 24.26/24.53  Current number of equations to process: 3865
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 742
% 24.26/24.53  New rule produced :
% 24.26/24.53  [825]
% 24.26/24.53  leq(multiplication(multiplication(A,star(B)),star(one)),multiplication(A,
% 24.26/24.53                                                          strong_iteration(B)) addition C)
% 24.26/24.53  -> true
% 24.26/24.53  Current number of equations to process: 3864
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 743
% 24.26/24.53  New rule produced :
% 24.26/24.53  [826]
% 24.26/24.53  leq(one addition multiplication(A,zero),star(B) addition multiplication(A,C) addition V_3)
% 24.26/24.53  -> true
% 24.26/24.53  Current number of equations to process: 3863
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 744
% 24.26/24.53  New rule produced :
% 24.26/24.53  [827]
% 24.26/24.53  leq(one addition multiplication(A,star(B)),star(C) addition multiplication(A,
% 24.26/24.53                                                              strong_iteration(B)))
% 24.26/24.53  -> true
% 24.26/24.53  Current number of equations to process: 3862
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 745
% 24.26/24.53  New rule produced :
% 24.26/24.53  [828]
% 24.26/24.53  leq(one addition multiplication(A,zero),strong_iteration(B) addition 
% 24.26/24.53                                          multiplication(A,C) addition V_3) ->
% 24.26/24.53  true
% 24.26/24.53  Current number of equations to process: 3861
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 746
% 24.26/24.53  New rule produced :
% 24.26/24.53  [829]
% 24.26/24.53  leq(one addition multiplication(A,star(B)),strong_iteration(C) addition 
% 24.26/24.53                                             multiplication(A,strong_iteration(B)))
% 24.26/24.53  -> true
% 24.26/24.53  Current number of equations to process: 3860
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 747
% 24.26/24.53  New rule produced :
% 24.26/24.53  [830]
% 24.26/24.53  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 24.26/24.53                                                           strong_iteration(V_3),A),
% 24.26/24.53                                            multiplication(B,C))) -> true
% 24.26/24.53  Current number of equations to process: 3859
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 748
% 24.26/24.53  New rule produced :
% 24.26/24.53  [831]
% 24.26/24.53  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 24.26/24.53                                                           multiplication(
% 24.26/24.53                                                           strong_iteration(V_3),A),B),C))
% 24.26/24.53  -> true
% 24.26/24.53  Current number of equations to process: 3858
% 24.26/24.53  Current number of ordered equations: 0
% 24.26/24.53  Current number of rules: 749
% 24.26/24.53  New rule produced :
% 24.26/24.53  [832]
% 24.26/24.53  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 24.42/24.71                                                           strong_iteration(V_3),
% 24.42/24.71                                                           multiplication(A,B)),C))
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3857
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 750
% 24.42/24.71  New rule produced :
% 24.42/24.71  [833]
% 24.42/24.71  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 24.42/24.71                                                           multiplication(
% 24.42/24.71                                                           strong_iteration(V_3),A),B),C))
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3856
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 751
% 24.42/24.71  New rule produced :
% 24.42/24.71  [834]
% 24.42/24.71  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,star(C)) addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3854
% 24.42/24.71  Current number of ordered equations: 1
% 24.42/24.71  Current number of rules: 752
% 24.42/24.71  New rule produced :
% 24.42/24.71  [835]
% 24.42/24.71  leq(star(A) addition B,multiplication(strong_iteration(A),star(C)) addition B addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3854
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 753
% 24.42/24.71  New rule produced :
% 24.42/24.71  [836]
% 24.42/24.71  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,
% 24.42/24.71                                                      strong_iteration(C)) addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3850
% 24.42/24.71  Current number of ordered equations: 1
% 24.42/24.71  Current number of rules: 754
% 24.42/24.71  New rule produced :
% 24.42/24.71  [837]
% 24.42/24.71  leq(star(A) addition B,multiplication(strong_iteration(A),strong_iteration(C)) addition B addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3850
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 755
% 24.42/24.71  New rule produced :
% 24.42/24.71  [838]
% 24.42/24.71  leq(star(A) addition B,strong_iteration(A) addition multiplication(star(C),B) addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3848
% 24.42/24.71  Current number of ordered equations: 1
% 24.42/24.71  Current number of rules: 756
% 24.42/24.71  New rule produced :
% 24.42/24.71  [839]
% 24.42/24.71  leq(star(A) addition B,multiplication(star(C),strong_iteration(A)) addition B addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3848
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 757
% 24.42/24.71  New rule produced :
% 24.42/24.71  [840]
% 24.42/24.71  leq(star(A) addition B,strong_iteration(A) addition multiplication(strong_iteration(C),B) addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3846
% 24.42/24.71  Current number of ordered equations: 1
% 24.42/24.71  Current number of rules: 758
% 24.42/24.71  New rule produced :
% 24.42/24.71  [841]
% 24.42/24.71  leq(star(A) addition B,multiplication(strong_iteration(C),strong_iteration(A)) addition B addition V_3)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3846
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 759
% 24.42/24.71  New rule produced :
% 24.42/24.71  [842]
% 24.42/24.71  ifeq(leq(A,one),true,leq(multiplication(star(A),multiplication(A,zero)),one),true)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3837
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 760
% 24.42/24.71  New rule produced :
% 24.42/24.71  [843]
% 24.42/24.71  ifeq(leq(one,A),true,leq(one,multiplication(strong_iteration(A),multiplication(A,zero))),true)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3836
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 761
% 24.42/24.71  New rule produced :
% 24.42/24.71  [844]
% 24.42/24.71  leq(one addition multiplication(A,zero) addition B,star(C) addition A addition B)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3835
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 762
% 24.42/24.71  New rule produced :
% 24.42/24.71  [845]
% 24.42/24.71  leq(one addition multiplication(A,zero) addition B,strong_iteration(C) addition A addition B)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3834
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 763
% 24.42/24.71  New rule produced :
% 24.42/24.71  [846]
% 24.42/24.71  ifeq2(leq(star(A),multiplication(A,zero)),true,star(A),multiplication(A,zero))
% 24.42/24.71  -> multiplication(A,zero)
% 24.42/24.71  Current number of equations to process: 3832
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 764
% 24.42/24.71  New rule produced :
% 24.42/24.71  [847]
% 24.42/24.71  leq(one addition multiplication(A,zero) addition B,star(A) addition B addition C)
% 24.42/24.71  -> true
% 24.42/24.71  Current number of equations to process: 3828
% 24.42/24.71  Current number of ordered equations: 0
% 24.42/24.71  Current number of rules: 765
% 25.41/25.67  New rule produced :
% 25.41/25.67  [848]
% 25.41/25.67  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 25.41/25.67                                              star(B) addition C) -> true
% 25.41/25.67  Current number of equations to process: 3827
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 766
% 25.41/25.67  New rule produced :
% 25.41/25.67  [849]
% 25.41/25.67  ifeq2(leq(strong_iteration(A),multiplication(A,zero)),true,strong_iteration(A),
% 25.41/25.67  multiplication(A,zero)) -> multiplication(A,zero)
% 25.41/25.67  Current number of equations to process: 3825
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 767
% 25.41/25.67  New rule produced :
% 25.41/25.67  [850]
% 25.41/25.67  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(A),strong_iteration(A)),zero),true)
% 25.41/25.67  -> true
% 25.41/25.67  Current number of equations to process: 3824
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 768
% 25.41/25.67  New rule produced :
% 25.41/25.67  [851]
% 25.41/25.67  leq(one addition multiplication(A,zero) addition B,strong_iteration(A) addition B addition C)
% 25.41/25.67  -> true
% 25.41/25.67  Current number of equations to process: 3820
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 769
% 25.41/25.67  New rule produced :
% 25.41/25.67  [852]
% 25.41/25.67  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 25.41/25.67                                              strong_iteration(B) addition C)
% 25.41/25.67  -> true
% 25.41/25.67  Current number of equations to process: 3819
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 770
% 25.41/25.67  Rule [360]
% 25.41/25.67       multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 25.41/25.67       multiplication(multiplication(multiplication(A,B),C),V_3) addition 
% 25.41/25.67       multiplication(A,zero) is composed into [360]
% 25.41/25.67                                               multiplication(A,multiplication(B,
% 25.41/25.67                                                                multiplication(C,V_3)))
% 25.41/25.67                                               <->
% 25.41/25.67                                               multiplication(multiplication(
% 25.41/25.67                                                              multiplication(A,B),C),V_3)
% 25.41/25.67  Rule [358]
% 25.41/25.67       multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 25.41/25.67       multiplication(multiplication(multiplication(A,B),C),V_3) addition 
% 25.41/25.67       multiplication(A,zero) is composed into [358]
% 25.41/25.67                                               multiplication(A,multiplication(
% 25.41/25.67                                                                multiplication(B,C),V_3))
% 25.41/25.67                                               <->
% 25.41/25.67                                               multiplication(multiplication(
% 25.41/25.67                                                              multiplication(A,B),C),V_3)
% 25.41/25.67  New rule produced :
% 25.41/25.67  [853]
% 25.41/25.67  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 25.41/25.67  -> multiplication(multiplication(multiplication(A,B),C),V_3)
% 25.41/25.67  Rule
% 25.41/25.67  [357]
% 25.41/25.67  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 25.41/25.67  <-> multiplication(A,multiplication(multiplication(B,C),V_3)) collapsed.
% 25.41/25.67  Rule
% 25.41/25.67  [359]
% 25.41/25.67  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 25.41/25.67  <-> multiplication(A,multiplication(B,multiplication(C,V_3))) collapsed.
% 25.41/25.67  Current number of equations to process: 3818
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 769
% 25.41/25.67  New rule produced :
% 25.41/25.67  [854]
% 25.41/25.67  leq(multiplication(star(one),multiplication(A,zero)),multiplication(multiplication(A,B),C) addition V_3)
% 25.41/25.67  -> true
% 25.41/25.67  Current number of equations to process: 3813
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 770
% 25.41/25.67  New rule produced :
% 25.41/25.67  [855]
% 25.41/25.67  leq(one addition multiplication(A,zero),star(B) addition multiplication(
% 25.41/25.67                                                           multiplication(A,C),V_3))
% 25.41/25.67  -> true
% 25.41/25.67  Current number of equations to process: 3812
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 771
% 25.41/25.67  New rule produced :
% 25.41/25.67  [856]
% 25.41/25.67  leq(one addition multiplication(A,zero),strong_iteration(B) addition 
% 25.41/25.67                                          multiplication(multiplication(A,C),V_3))
% 25.41/25.67  -> true
% 25.41/25.67  Current number of equations to process: 3811
% 25.41/25.67  Current number of ordered equations: 0
% 25.41/25.67  Current number of rules: 772
% 25.41/25.67  New rule produced :
% 25.41/25.67  [857]
% 25.41/25.67  leq(multiplication(A,B),multiplication(A,multiplication(B,star(C)))) -> true
% 25.41/25.67  Current number of equations to process: 3911
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 773
% 25.92/26.20  New rule produced :
% 25.92/26.20  [858] leq(star(A),multiplication(strong_iteration(star(A)),zero)) -> true
% 25.92/26.20  Current number of equations to process: 3916
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 774
% 25.92/26.20  New rule produced : [859] leq(A,strong_iteration(B) addition star(A)) -> true
% 25.92/26.20  Current number of equations to process: 3920
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 775
% 25.92/26.20  New rule produced : [860] leq(A,star(A)) -> true
% 25.92/26.20  Rule
% 25.92/26.20  [417]
% 25.92/26.20  ifeq(leq(A,star(A)),true,leq(A,multiplication(strong_iteration(star(A)),
% 25.92/26.20                                 star(A))),true) -> true collapsed.
% 25.92/26.20  Rule
% 25.92/26.20  [526] ifeq(leq(A,star(A)),true,leq(A,strong_iteration(star(A))),true) -> true
% 25.92/26.20  collapsed.
% 25.92/26.20  Current number of equations to process: 3923
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 774
% 25.92/26.20  New rule produced : [861] leq(A,star(A) addition B) -> true
% 25.92/26.20  Rule [859] leq(A,strong_iteration(B) addition star(A)) -> true collapsed.
% 25.92/26.20  Current number of equations to process: 3922
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 774
% 25.92/26.20  New rule produced : [862] leq(A,strong_iteration(star(A))) -> true
% 25.92/26.20  Current number of equations to process: 3922
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 775
% 25.92/26.20  New rule produced :
% 25.92/26.20  [863]
% 25.92/26.20  leq(A,multiplication(strong_iteration(B),multiplication(A,star(C)))) -> true
% 25.92/26.20  Current number of equations to process: 3921
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 776
% 25.92/26.20  New rule produced :
% 25.92/26.20  [864]
% 25.92/26.20  leq(A,multiplication(strong_iteration(B),multiplication(A,star(C))) addition V_3)
% 25.92/26.20  -> true
% 25.92/26.20  Current number of equations to process: 3919
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 777
% 25.92/26.20  New rule produced :
% 25.92/26.20  [865] leq(star(A),multiplication(strong_iteration(star(A)),B)) -> true
% 25.92/26.20  Rule
% 25.92/26.20  [858] leq(star(A),multiplication(strong_iteration(star(A)),zero)) -> true
% 25.92/26.20  collapsed.
% 25.92/26.20  Current number of equations to process: 3919
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 777
% 25.92/26.20  New rule produced :
% 25.92/26.20  [866] leq(A,multiplication(multiplication(A,star(B)),star(C))) -> true
% 25.92/26.20  Current number of equations to process: 3928
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 778
% 25.92/26.20  New rule produced :
% 25.92/26.20  [867]
% 25.92/26.20  leq(A,multiplication(multiplication(A,star(B)),strong_iteration(C))) -> true
% 25.92/26.20  Current number of equations to process: 3927
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 779
% 25.92/26.20  New rule produced :
% 25.92/26.20  [868] leq(A,multiplication(star(B),multiplication(A,star(C)))) -> true
% 25.92/26.20  Current number of equations to process: 3926
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 780
% 25.92/26.20  New rule produced :
% 25.92/26.20  [869]
% 25.92/26.20  leq(A,multiplication(multiplication(A,star(B)),star(C)) addition V_3) -> true
% 25.92/26.20  Current number of equations to process: 3925
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 781
% 25.92/26.20  New rule produced :
% 25.92/26.20  [870]
% 25.92/26.20  leq(A,multiplication(multiplication(A,star(B)),strong_iteration(C)) addition V_3)
% 25.92/26.20  -> true
% 25.92/26.20  Current number of equations to process: 3924
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 782
% 25.92/26.20  New rule produced :
% 25.92/26.20  [871]
% 25.92/26.20  leq(A,multiplication(star(B),multiplication(A,star(C))) addition V_3) -> true
% 25.92/26.20  Current number of equations to process: 3923
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 783
% 25.92/26.20  New rule produced :
% 25.92/26.20  [872] leq(multiplication(A,B),multiplication(A,star(B))) -> true
% 25.92/26.20  Current number of equations to process: 3924
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 784
% 25.92/26.20  New rule produced :
% 25.92/26.20  [873] leq(multiplication(A,B),multiplication(A,star(B)) addition C) -> true
% 25.92/26.20  Current number of equations to process: 3923
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 785
% 25.92/26.20  New rule produced :
% 25.92/26.20  [874] leq(A,multiplication(strong_iteration(star(A)),star(A))) -> true
% 25.92/26.20  Current number of equations to process: 3944
% 25.92/26.20  Current number of ordered equations: 0
% 25.92/26.20  Current number of rules: 786
% 25.92/26.20  New rule produced :
% 25.92/26.20  [875]
% 25.92/26.20  leq(multiplication(A,B),multiplication(A,multiplication(B,star(C))) addition V_3)
% 25.92/26.20  -> true
% 29.23/29.45  Current number of equations to process: 3943
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 787
% 29.23/29.45  New rule produced :
% 29.23/29.45  [876]
% 29.23/29.45  multiplication(A,multiplication(star(B),star(C))) addition A ->
% 29.23/29.45  multiplication(A,multiplication(star(B),star(C)))
% 29.23/29.45  Current number of equations to process: 3942
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 788
% 29.23/29.45  New rule produced :
% 29.23/29.45  [877]
% 29.23/29.45  multiplication(multiplication(star(A),star(B)),C) addition C ->
% 29.23/29.45  multiplication(multiplication(star(A),star(B)),C)
% 29.23/29.45  Current number of equations to process: 3941
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 789
% 29.23/29.45  New rule produced : [878] leq(star(A),strong_iteration(star(B))) -> true
% 29.23/29.45  Current number of equations to process: 3963
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 790
% 29.23/29.45  New rule produced :
% 29.23/29.45  [879]
% 29.23/29.45  leq(one addition multiplication(star(A),zero),multiplication(star(A),star(B)))
% 29.23/29.45  -> true
% 29.23/29.45  Current number of equations to process: 3994
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 791
% 29.23/29.45  New rule produced :
% 29.23/29.45  [880]
% 29.23/29.45  multiplication(A,multiplication(strong_iteration(B),star(C))) addition A ->
% 29.23/29.45  multiplication(A,multiplication(strong_iteration(B),star(C)))
% 29.23/29.45  Current number of equations to process: 3993
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 792
% 29.23/29.45  New rule produced :
% 29.23/29.45  [881]
% 29.23/29.45  multiplication(multiplication(strong_iteration(A),star(B)),C) addition C ->
% 29.23/29.45  multiplication(multiplication(strong_iteration(A),star(B)),C)
% 29.23/29.45  Current number of equations to process: 3992
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 793
% 29.23/29.45  New rule produced :
% 29.23/29.45  [882] leq(star(A),strong_iteration(strong_iteration(B))) -> true
% 29.23/29.45  Current number of equations to process: 4014
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 794
% 29.23/29.45  New rule produced :
% 29.23/29.45  [883]
% 29.23/29.45  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 29.23/29.45                                                            strong_iteration(A),
% 29.23/29.45                                                            star(B))) -> true
% 29.23/29.45  Current number of equations to process: 4075
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 795
% 29.23/29.45  New rule produced :
% 29.23/29.45  [884]
% 29.23/29.45  multiplication(multiplication(A,star(B)),B) addition multiplication(A,
% 29.23/29.45                                                       star(B)) ->
% 29.23/29.45  multiplication(A,star(B))
% 29.23/29.45  Current number of equations to process: 4074
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 796
% 29.23/29.45  New rule produced :
% 29.23/29.45  [885] multiplication(A,star(A)) <-> multiplication(star(A),A)
% 29.23/29.45  Current number of equations to process: 4111
% 29.23/29.45  Current number of ordered equations: 1
% 29.23/29.45  Current number of rules: 797
% 29.23/29.45  New rule produced :
% 29.23/29.45  [886] multiplication(star(A),A) <-> multiplication(A,star(A))
% 29.23/29.45  Current number of equations to process: 4111
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 798
% 29.23/29.45  New rule produced :
% 29.23/29.45  [887]
% 29.23/29.45  leq(multiplication(multiplication(A,star(B)),B),multiplication(A,star(B))) ->
% 29.23/29.45  true
% 29.23/29.45  Current number of equations to process: 4143
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 799
% 29.23/29.45  New rule produced :
% 29.23/29.45  [888]
% 29.23/29.45  multiplication(multiplication(A,star(strong_iteration(B))),star(B)) ->
% 29.23/29.45  multiplication(A,star(strong_iteration(B)))
% 29.23/29.45  Current number of equations to process: 4205
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 800
% 29.23/29.45  New rule produced :
% 29.23/29.45  [889]
% 29.23/29.45  multiplication(multiplication(A,star(star(B))),star(B)) ->
% 29.23/29.45  multiplication(A,star(star(B)))
% 29.23/29.45  Current number of equations to process: 4268
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 801
% 29.23/29.45  New rule produced :
% 29.23/29.45  [890]
% 29.23/29.45  star(multiplication(A,star(A))) addition star(A) ->
% 29.23/29.45  star(multiplication(A,star(A)))
% 29.23/29.45  Current number of equations to process: 4290
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 802
% 29.23/29.45  New rule produced : [891] leq(one addition A,star(A)) -> true
% 29.23/29.45  Current number of equations to process: 4345
% 29.23/29.45  Current number of ordered equations: 0
% 29.23/29.45  Current number of rules: 803
% 29.23/29.45  New rule produced :
% 29.23/29.45  [892] leq(multiplication(A,B) addition A,multiplication(A,star(B))) -> true
% 29.23/29.45  Current number of equations to process: 4353
% 29.23/29.45  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 804
% 30.14/30.41  New rule produced :
% 30.14/30.41  [893]
% 30.14/30.41  leq(strong_iteration(A) addition B,strong_iteration(A) addition star(B)) ->
% 30.14/30.41  true
% 30.14/30.41  Current number of equations to process: 4352
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 805
% 30.14/30.41  New rule produced :
% 30.14/30.41  [894] leq(one addition A addition B,star(A) addition B) -> true
% 30.14/30.41  Current number of equations to process: 4351
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 806
% 30.14/30.41  New rule produced :
% 30.14/30.41  [895]
% 30.14/30.41  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 30.14/30.41                                           star(B))) -> true
% 30.14/30.41  Current number of equations to process: 4350
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 807
% 30.14/30.41  New rule produced :
% 30.14/30.41  [896]
% 30.14/30.41  leq(star(A),one addition multiplication(multiplication(star(A),A),star(B)))
% 30.14/30.41  -> true
% 30.14/30.41  Current number of equations to process: 4349
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 808
% 30.14/30.41  New rule produced :
% 30.14/30.41  [897]
% 30.14/30.41  leq(star(A),one addition multiplication(multiplication(A,star(A)),star(B)))
% 30.14/30.41  -> true
% 30.14/30.41  Current number of equations to process: 4348
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 809
% 30.14/30.41  New rule produced :
% 30.14/30.41  [898]
% 30.14/30.41  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 30.14/30.41                                                      strong_iteration(A)),
% 30.14/30.41                                       star(B))) -> true
% 30.14/30.41  Current number of equations to process: 4346
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 810
% 30.14/30.41  New rule produced :
% 30.14/30.41  [899] leq(star(A) addition star(B),multiplication(star(B),star(A))) -> true
% 30.14/30.41  Current number of equations to process: 4382
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 811
% 30.14/30.41  New rule produced :
% 30.14/30.41  [900] leq(star(A) addition B,star(A) addition star(B)) -> true
% 30.14/30.41  Current number of equations to process: 4393
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 812
% 30.14/30.41  New rule produced :
% 30.14/30.41  [901]
% 30.14/30.41  star(multiplication(star(A),A)) addition star(A) ->
% 30.14/30.41  star(multiplication(star(A),A))
% 30.14/30.41  Current number of equations to process: 4426
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 813
% 30.14/30.41  New rule produced :
% 30.14/30.41  [902]
% 30.14/30.41  leq(A addition B,multiplication(A,star(C)) addition multiplication(B,star(C)))
% 30.14/30.41  -> true
% 30.14/30.41  Current number of equations to process: 4430
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 814
% 30.14/30.41  New rule produced :
% 30.14/30.41  [903]
% 30.14/30.41  leq(multiplication(multiplication(A,star(B)),B),multiplication(A,star(B)) addition C)
% 30.14/30.41  -> true
% 30.14/30.41  Current number of equations to process: 4429
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 815
% 30.14/30.41  New rule produced :
% 30.14/30.41  [904]
% 30.14/30.41  multiplication(multiplication(A,star(multiplication(B,star(B)))),star(B)) ->
% 30.14/30.41  multiplication(A,star(multiplication(B,star(B))))
% 30.14/30.41  Current number of equations to process: 4428
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 816
% 30.14/30.41  New rule produced :
% 30.14/30.41  [905]
% 30.14/30.41  multiplication(multiplication(A,star(multiplication(star(B),B))),star(B)) ->
% 30.14/30.41  multiplication(A,star(multiplication(star(B),B)))
% 30.14/30.41  Current number of equations to process: 4427
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 817
% 30.14/30.41  New rule produced :
% 30.14/30.41  [906]
% 30.14/30.41  multiplication(multiplication(A,star(multiplication(B,strong_iteration(B)))),
% 30.14/30.41  strong_iteration(B)) ->
% 30.14/30.41  multiplication(A,star(multiplication(B,strong_iteration(B))))
% 30.14/30.41  Current number of equations to process: 4426
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 818
% 30.14/30.41  New rule produced :
% 30.14/30.41  [907]
% 30.14/30.41  leq(multiplication(multiplication(A,star(B)),zero) addition A,multiplication(A,
% 30.14/30.41                                                                star(B))) ->
% 30.14/30.41  true
% 30.14/30.41  Current number of equations to process: 4424
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 819
% 30.14/30.41  New rule produced :
% 30.14/30.41  [908]
% 30.14/30.41  multiplication(star(multiplication(A,star(A))),multiplication(star(A),B)) ->
% 30.14/30.41  multiplication(star(multiplication(A,star(A))),B)
% 30.14/30.41  Current number of equations to process: 4422
% 30.14/30.41  Current number of ordered equations: 0
% 30.14/30.41  Current number of rules: 820
% 30.14/30.41  New rule produced :
% 30.14/30.41  [909]
% 30.14/30.41  leq(multiplication(A,multiplication(strong_iteration(B),zero)) addition A,
% 31.03/31.30  multiplication(A,strong_iteration(B))) -> true
% 31.03/31.30  Current number of equations to process: 4417
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 821
% 31.03/31.30  New rule produced :
% 31.03/31.30  [910]
% 31.03/31.30  multiplication(star(multiplication(star(A),A)),multiplication(star(A),B)) ->
% 31.03/31.30  multiplication(star(multiplication(star(A),A)),B)
% 31.03/31.30  Current number of equations to process: 4415
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 822
% 31.03/31.30  New rule produced : [911] leq(A addition B,star(A) addition B) -> true
% 31.03/31.30  Rule
% 31.03/31.30  [893]
% 31.03/31.30  leq(strong_iteration(A) addition B,strong_iteration(A) addition star(B)) ->
% 31.03/31.30  true collapsed.
% 31.03/31.30  Rule [900] leq(star(A) addition B,star(A) addition star(B)) -> true
% 31.03/31.30  collapsed.
% 31.03/31.30  Current number of equations to process: 4528
% 31.03/31.30  Current number of ordered equations: 1
% 31.03/31.30  Current number of rules: 821
% 31.03/31.30  New rule produced : [912] leq(one addition A,star(A) addition B) -> true
% 31.03/31.30  Current number of equations to process: 4528
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 822
% 31.03/31.30  New rule produced :
% 31.03/31.30  [913] leq(A addition B,star(A) addition B addition C) -> true
% 31.03/31.30  Current number of equations to process: 4545
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 823
% 31.03/31.30  New rule produced :
% 31.03/31.30  [914]
% 31.03/31.30  leq(multiplication(A,B) addition C,multiplication(A,star(B)) addition C) ->
% 31.03/31.30  true
% 31.03/31.30  Current number of equations to process: 4543
% 31.03/31.30  Current number of ordered equations: 1
% 31.03/31.30  Current number of rules: 824
% 31.03/31.30  New rule produced :
% 31.03/31.30  [915]
% 31.03/31.30  leq(multiplication(A,B) addition A,multiplication(A,star(B)) addition C) ->
% 31.03/31.30  true
% 31.03/31.30  Current number of equations to process: 4543
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 825
% 31.03/31.30  New rule produced :
% 31.03/31.30  [916] leq(one addition A addition B,star(A) addition B addition C) -> true
% 31.03/31.30  Current number of equations to process: 4541
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 826
% 31.03/31.30  New rule produced :
% 31.03/31.30  [917]
% 31.03/31.30  leq(A addition B,multiplication(A,star(C)) addition multiplication(B,
% 31.03/31.30                                                      star(V_3))) -> true
% 31.03/31.30  Rule
% 31.03/31.30  [902]
% 31.03/31.30  leq(A addition B,multiplication(A,star(C)) addition multiplication(B,star(C)))
% 31.03/31.30  -> true collapsed.
% 31.03/31.30  Current number of equations to process: 4539
% 31.03/31.30  Current number of ordered equations: 1
% 31.03/31.30  Current number of rules: 826
% 31.03/31.30  New rule produced :
% 31.03/31.30  [918]
% 31.03/31.30  leq(A addition B,multiplication(multiplication(A,star(C)),star(V_3)) addition B)
% 31.03/31.30  -> true
% 31.03/31.30  Current number of equations to process: 4539
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 827
% 31.03/31.30  New rule produced :
% 31.03/31.30  [919]
% 31.03/31.30  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(A,
% 31.03/31.30                                                                  star(V_3)))
% 31.03/31.30  -> true
% 31.03/31.30  Current number of equations to process: 4535
% 31.03/31.30  Current number of ordered equations: 2
% 31.03/31.30  Current number of rules: 828
% 31.03/31.30  New rule produced :
% 31.03/31.30  [920]
% 31.03/31.30  leq(A addition B,multiplication(strong_iteration(C),multiplication(A,
% 31.03/31.30                                                      star(V_3))) addition B)
% 31.03/31.30  -> true
% 31.03/31.30  Current number of equations to process: 4535
% 31.03/31.30  Current number of ordered equations: 1
% 31.03/31.30  Current number of rules: 829
% 31.03/31.30  New rule produced :
% 31.03/31.30  [921]
% 31.03/31.30  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 31.03/31.30                                           star(B)) addition C) -> true
% 31.03/31.30  Current number of equations to process: 4535
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 830
% 31.03/31.30  New rule produced :
% 31.03/31.30  [922]
% 31.03/31.30  one addition multiplication(multiplication(star(A),star(B)),star(C)) ->
% 31.03/31.30  multiplication(multiplication(star(A),star(B)),star(C))
% 31.03/31.30  Current number of equations to process: 4534
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 831
% 31.03/31.30  New rule produced :
% 31.03/31.30  [923]
% 31.03/31.30  one addition multiplication(strong_iteration(A),multiplication(star(B),
% 31.03/31.30                                                  star(C))) ->
% 31.03/31.30  multiplication(strong_iteration(A),multiplication(star(B),star(C)))
% 31.03/31.30  Current number of equations to process: 4533
% 31.03/31.30  Current number of ordered equations: 0
% 31.03/31.30  Current number of rules: 832
% 31.03/31.30  New rule produced :
% 31.03/31.30  [924]
% 31.03/31.30  one addition multiplication(multiplication(star(A),star(B)),strong_iteration(C))
% 31.03/31.30  -> multiplication(multiplication(star(A),star(B)),strong_iteration(C))
% 33.16/33.37  Current number of equations to process: 4531
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 833
% 33.16/33.37  New rule produced :
% 33.16/33.37  [925]
% 33.16/33.37  one addition multiplication(star(A),multiplication(star(B),star(C))) ->
% 33.16/33.37  multiplication(star(A),multiplication(star(B),star(C)))
% 33.16/33.37  Current number of equations to process: 4530
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 834
% 33.16/33.37  New rule produced :
% 33.16/33.37  [926]
% 33.16/33.37  one addition multiplication(multiplication(strong_iteration(A),star(B)),
% 33.16/33.37               star(C)) ->
% 33.16/33.37  multiplication(multiplication(strong_iteration(A),star(B)),star(C))
% 33.16/33.37  Current number of equations to process: 4525
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 835
% 33.16/33.37  New rule produced :
% 33.16/33.37  [927]
% 33.16/33.37  one addition multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 33.16/33.37                                                  star(C))) ->
% 33.16/33.37  multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 33.16/33.37                                     star(C)))
% 33.16/33.37  Current number of equations to process: 4524
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 836
% 33.16/33.37  New rule produced :
% 33.16/33.37  [928]
% 33.16/33.37  one addition multiplication(multiplication(strong_iteration(A),star(B)),
% 33.16/33.37               strong_iteration(C)) ->
% 33.16/33.37  multiplication(multiplication(strong_iteration(A),star(B)),strong_iteration(C))
% 33.16/33.37  Current number of equations to process: 4522
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 837
% 33.16/33.37  New rule produced :
% 33.16/33.37  [929]
% 33.16/33.37  one addition multiplication(star(A),multiplication(strong_iteration(B),
% 33.16/33.37                                      star(C))) ->
% 33.16/33.37  multiplication(star(A),multiplication(strong_iteration(B),star(C)))
% 33.16/33.37  Current number of equations to process: 4521
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 838
% 33.16/33.37  New rule produced :
% 33.16/33.37  [930]
% 33.16/33.37  strong_iteration(A) addition multiplication(multiplication(star(A),star(B)),B)
% 33.16/33.37  -> strong_iteration(A) addition multiplication(star(A),star(B))
% 33.16/33.37  Current number of equations to process: 4516
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 839
% 33.16/33.37  New rule produced :
% 33.16/33.37  [931]
% 33.16/33.37  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 33.16/33.37                                                                  star(V_3)))
% 33.16/33.37  -> true
% 33.16/33.37  Current number of equations to process: 4618
% 33.16/33.37  Current number of ordered equations: 1
% 33.16/33.37  Current number of rules: 840
% 33.16/33.37  New rule produced :
% 33.16/33.37  [932]
% 33.16/33.37  leq(A addition B,multiplication(multiplication(A,star(C)),strong_iteration(V_3)) addition B)
% 33.16/33.37  -> true
% 33.16/33.37  Current number of equations to process: 4618
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 841
% 33.16/33.37  New rule produced :
% 33.16/33.37  [933]
% 33.16/33.37  leq(A addition B,multiplication(star(C),B) addition multiplication(A,
% 33.16/33.37                                                      star(V_3))) -> true
% 33.16/33.37  Current number of equations to process: 4615
% 33.16/33.37  Current number of ordered equations: 2
% 33.16/33.37  Current number of rules: 842
% 33.16/33.37  New rule produced :
% 33.16/33.37  [934]
% 33.16/33.37  leq(A addition B,multiplication(star(C),multiplication(A,star(V_3))) addition B)
% 33.16/33.37  -> true
% 33.16/33.37  Current number of equations to process: 4615
% 33.16/33.37  Current number of ordered equations: 1
% 33.16/33.37  Current number of rules: 843
% 33.16/33.37  New rule produced :
% 33.16/33.37  [935]
% 33.16/33.37  leq(star(A) addition star(B),multiplication(star(B),star(A)) addition C) ->
% 33.16/33.37  true
% 33.16/33.37  Current number of equations to process: 4615
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 844
% 33.16/33.37  New rule produced :
% 33.16/33.37  [936]
% 33.16/33.37  leq(multiplication(A,zero) addition B,multiplication(B,star(C)) addition A)
% 33.16/33.37  -> true
% 33.16/33.37  Current number of equations to process: 4670
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 845
% 33.16/33.37  New rule produced :
% 33.16/33.37  [937]
% 33.16/33.37  strong_iteration(strong_iteration(A)) addition multiplication(A,strong_iteration(
% 33.16/33.37                                                                  strong_iteration(A)))
% 33.16/33.37  -> strong_iteration(strong_iteration(A)) addition A
% 33.16/33.37  Current number of equations to process: 4749
% 33.16/33.37  Current number of ordered equations: 0
% 33.16/33.37  Current number of rules: 846
% 33.16/33.37  New rule produced :
% 33.16/33.37  [938]
% 33.16/33.37  multiplication(multiplication(A,B),strong_iteration(B)) addition multiplication(A,
% 33.16/33.37                                                                   strong_iteration(B))
% 35.28/35.48  -> multiplication(A,strong_iteration(B))
% 35.28/35.48  Current number of equations to process: 4748
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 847
% 35.28/35.48  New rule produced :
% 35.28/35.48  [939]
% 35.28/35.48  leq(multiplication(multiplication(A,B),strong_iteration(B)),multiplication(A,
% 35.28/35.48                                                              strong_iteration(B)))
% 35.28/35.48  -> true
% 35.28/35.48  Current number of equations to process: 4820
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 848
% 35.28/35.48  New rule produced :
% 35.28/35.48  [940]
% 35.28/35.48  strong_iteration(star(A)) addition multiplication(A,strong_iteration(star(A)))
% 35.28/35.48  -> strong_iteration(star(A)) addition A
% 35.28/35.48  Current number of equations to process: 4819
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 849
% 35.28/35.48  New rule produced :
% 35.28/35.48  [941]
% 35.28/35.48  multiplication(multiplication(A,B),zero) addition multiplication(A,strong_iteration(B))
% 35.28/35.48  -> multiplication(A,strong_iteration(B))
% 35.28/35.48  Current number of equations to process: 4818
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 850
% 35.28/35.48  New rule produced :
% 35.28/35.48  [942]
% 35.28/35.48  multiplication(A,strong_iteration(B)) addition multiplication(A,B) ->
% 35.28/35.48  multiplication(A,strong_iteration(B))
% 35.28/35.48  Current number of equations to process: 4876
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 851
% 35.28/35.48  New rule produced :
% 35.28/35.48  [943]
% 35.28/35.48  leq(multiplication(multiplication(A,B),zero),multiplication(A,strong_iteration(B)))
% 35.28/35.48  -> true
% 35.28/35.48  Current number of equations to process: 4927
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 852
% 35.28/35.48  New rule produced :
% 35.28/35.48  [944]
% 35.28/35.48  leq(multiplication(multiplication(A,B),zero),multiplication(A,strong_iteration(B)) addition C)
% 35.28/35.48  -> true
% 35.28/35.48  Current number of equations to process: 4967
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 853
% 35.28/35.48  New rule produced :
% 35.28/35.48  [945]
% 35.28/35.48  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 35.28/35.48                                                          strong_iteration(B)))
% 35.28/35.48  -> true
% 35.28/35.48  Current number of equations to process: 4966
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 854
% 35.28/35.48  New rule produced :
% 35.28/35.48  [946]
% 35.28/35.48  multiplication(multiplication(A,B),star(B)) addition multiplication(A,
% 35.28/35.48                                                       strong_iteration(B)) ->
% 35.28/35.48  multiplication(A,strong_iteration(B))
% 35.28/35.48  Current number of equations to process: 4964
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 855
% 35.28/35.48  New rule produced :
% 35.28/35.48  [947]
% 35.28/35.48  leq(multiplication(A,zero) addition B,star(A) addition multiplication(B,
% 35.28/35.48                                                         star(C))) -> true
% 35.28/35.48  Current number of equations to process: 4963
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 856
% 35.28/35.48  New rule produced :
% 35.28/35.48  [948]
% 35.28/35.48  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(B,
% 35.28/35.48                                                                     star(C)))
% 35.28/35.48  -> true
% 35.28/35.48  Current number of equations to process: 4962
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 857
% 35.28/35.48  New rule produced :
% 35.28/35.48  [949]
% 35.28/35.48  leq(multiplication(multiplication(A,B),strong_iteration(B)),multiplication(A,
% 35.28/35.48                                                              strong_iteration(B)) addition C)
% 35.28/35.48  -> true
% 35.28/35.48  Current number of equations to process: 4961
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 858
% 35.28/35.48  New rule produced :
% 35.28/35.48  [950]
% 35.28/35.48  leq(multiplication(star(multiplication(A,star(A))),A),star(multiplication(A,
% 35.28/35.48                                                             star(A)))) -> true
% 35.28/35.48  Current number of equations to process: 2585
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 859
% 35.28/35.48  New rule produced :
% 35.28/35.48  [951]
% 35.28/35.48  leq(multiplication(star(multiplication(star(A),A)),A),star(multiplication(
% 35.28/35.48                                                             star(A),A))) ->
% 35.28/35.48  true
% 35.28/35.48  Current number of equations to process: 2584
% 35.28/35.48  Current number of ordered equations: 0
% 35.28/35.48  Current number of rules: 860
% 35.28/35.48  New rule produced :
% 35.28/35.48  [952]
% 35.28/35.48  strong_iteration(A) addition multiplication(multiplication(star(A),B),
% 35.28/35.48                               strong_iteration(B)) ->
% 35.28/35.48  strong_iteration(A) addition multiplication(star(A),strong_iteration(B))
% 35.28/35.48  Current number of equations to process: 2583
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 861
% 35.42/35.68  New rule produced :
% 35.42/35.68  [953]
% 35.42/35.68  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),
% 35.42/35.68                                            multiplication(C,star(V_3)))) ->
% 35.42/35.68  true
% 35.42/35.68  Current number of equations to process: 2582
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 862
% 35.42/35.68  New rule produced :
% 35.42/35.68  [954]
% 35.42/35.68  leq(multiplication(A,multiplication(B,C)),multiplication(A,multiplication(B,
% 35.42/35.68                                                             multiplication(C,
% 35.42/35.68                                                             star(V_3))))) ->
% 35.42/35.68  true
% 35.42/35.68  Current number of equations to process: 2581
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 863
% 35.42/35.68  New rule produced :
% 35.42/35.68  [955]
% 35.42/35.68  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(
% 35.42/35.68                                                             multiplication(B,C),
% 35.42/35.68                                                             star(V_3)))) ->
% 35.42/35.68  true
% 35.42/35.68  Current number of equations to process: 2580
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 864
% 35.42/35.68  New rule produced :
% 35.42/35.68  [956]
% 35.42/35.68  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(B,
% 35.42/35.68                                                             multiplication(C,
% 35.42/35.68                                                             star(V_3))))) ->
% 35.42/35.68  true
% 35.42/35.68  Current number of equations to process: 2579
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 865
% 35.42/35.68  New rule produced :
% 35.42/35.68  [957]
% 35.42/35.68  leq(multiplication(A,B) addition A addition C,multiplication(A,star(B)) addition C)
% 35.42/35.68  -> true
% 35.42/35.68  Current number of equations to process: 2578
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 866
% 35.42/35.68  New rule produced :
% 35.42/35.68  [958]
% 35.42/35.68  leq(multiplication(A,B) addition C,multiplication(A,multiplication(B,
% 35.42/35.68                                                      star(V_3))) addition C)
% 35.42/35.68  -> true
% 35.42/35.68  Current number of equations to process: 2576
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 867
% 35.42/35.68  New rule produced :
% 35.42/35.68  [959]
% 35.42/35.68  leq(multiplication(A,B) addition C,multiplication(A,star(B)) addition C addition V_3)
% 35.42/35.68  -> true
% 35.42/35.68  Current number of equations to process: 2574
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 868
% 35.42/35.68  New rule produced :
% 35.42/35.68  [960]
% 35.42/35.68  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(strong_iteration(A),
% 35.42/35.68                                                       star(C)) addition B) ->
% 35.42/35.68  true
% 35.42/35.68  Current number of equations to process: 2573
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 869
% 35.42/35.68  New rule produced :
% 35.42/35.68  [961]
% 35.42/35.68  leq(star(A),one addition multiplication(multiplication(star(A),A),star(B)) addition C)
% 35.42/35.68  -> true
% 35.42/35.68  Current number of equations to process: 2571
% 35.42/35.68  Current number of ordered equations: 1
% 35.42/35.68  Current number of rules: 870
% 35.42/35.68  New rule produced :
% 35.42/35.68  [962]
% 35.42/35.68  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(B,
% 35.42/35.68                                                            star(C))) -> true
% 35.42/35.68  Current number of equations to process: 2571
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 871
% 35.42/35.68  New rule produced :
% 35.42/35.68  [963]
% 35.42/35.68  leq(star(A),one addition multiplication(multiplication(A,star(A)),star(B)) addition C)
% 35.42/35.68  -> true
% 35.42/35.68  Current number of equations to process: 2569
% 35.42/35.68  Current number of ordered equations: 1
% 35.42/35.68  Current number of rules: 872
% 35.42/35.68  New rule produced :
% 35.42/35.68  [964]
% 35.42/35.68  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(B,
% 35.42/35.68                                                            star(C))) -> true
% 35.42/35.68  Current number of equations to process: 2569
% 35.42/35.68  Current number of ordered equations: 0
% 35.42/35.68  Current number of rules: 873
% 35.42/35.68  New rule produced :
% 35.42/35.68  [965]
% 35.42/35.68  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 35.42/35.68                                                      strong_iteration(A)),
% 35.42/35.68                                       star(B)) addition C) -> true
% 35.42/35.68  Current number of equations to process: 2565
% 35.42/35.68  Current number of ordered equations: 1
% 35.42/35.68  Current number of rules: 874
% 35.42/35.68  New rule produced :
% 35.42/35.68  [966]
% 35.42/35.68  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 35.42/35.68                                                       multiplication(B,
% 36.79/37.03                                                       star(C))) -> true
% 36.79/37.03  Current number of equations to process: 2565
% 36.79/37.03  Current number of ordered equations: 0
% 36.79/37.03  Current number of rules: 875
% 36.79/37.03  New rule produced :
% 36.79/37.03  [967]
% 36.79/37.03  leq(multiplication(A,zero) addition B,multiplication(A,C) addition multiplication(B,
% 36.79/37.03                                                                     star(V_3)))
% 36.79/37.03  -> true
% 36.79/37.03  Current number of equations to process: 2564
% 36.79/37.03  Current number of ordered equations: 0
% 36.79/37.03  Current number of rules: 876
% 36.79/37.03  New rule produced :
% 36.79/37.03  [968]
% 36.79/37.03  leq(multiplication(A,star(A)) addition B,multiplication(star(A),star(C)) addition B)
% 36.79/37.03  -> true
% 36.79/37.03  Current number of equations to process: 2563
% 36.79/37.03  Current number of ordered equations: 0
% 36.79/37.03  Current number of rules: 877
% 36.79/37.03  New rule produced :
% 36.79/37.03  [969]
% 36.79/37.03  leq(multiplication(star(A),A) addition B,multiplication(star(A),star(C)) addition B)
% 36.79/37.03  -> true
% 36.79/37.03  Current number of equations to process: 2562
% 36.79/37.03  Current number of ordered equations: 0
% 36.79/37.03  Current number of rules: 878
% 36.79/37.03  New rule produced :
% 42.09/42.29  [970]
% 42.09/42.29  leq(multiplication(A,zero) addition B,multiplication(B,star(C)) addition A addition V_3)
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2561
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 879
% 42.09/42.29  New rule produced :
% 42.09/42.29  [971]
% 42.09/42.29  leq(one addition A,multiplication(star(B),star(C)) addition multiplication(A,
% 42.09/42.29                                                              star(V_3))) ->
% 42.09/42.29  true
% 42.09/42.29  Current number of equations to process: 2560
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 880
% 42.09/42.29  New rule produced :
% 42.09/42.29  [972]
% 42.09/42.29  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 42.09/42.29                     multiplication(A,star(V_3))) -> true
% 42.09/42.29  Current number of equations to process: 2559
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 881
% 42.09/42.29  New rule produced :
% 42.09/42.29  [973]
% 42.09/42.29  multiplication(multiplication(A,star(strong_iteration(B))),strong_iteration(B))
% 42.09/42.29  -> multiplication(A,star(strong_iteration(B)))
% 42.09/42.29  Current number of equations to process: 2660
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 882
% 42.09/42.29  New rule produced :
% 42.09/42.29  [974]
% 42.09/42.29  leq(multiplication(A,B),multiplication(A,multiplication(B,strong_iteration(C))))
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2671
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 883
% 42.09/42.29  New rule produced : [975] leq(A,strong_iteration(A)) -> true
% 42.09/42.29  Current number of equations to process: 2682
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 884
% 42.09/42.29  New rule produced : [976] leq(A,strong_iteration(A) addition B) -> true
% 42.09/42.29  Current number of equations to process: 2681
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 885
% 42.09/42.29  New rule produced :
% 42.09/42.29  [977]
% 42.09/42.29  leq(A,multiplication(multiplication(A,strong_iteration(B)),star(C))) -> true
% 42.09/42.29  Current number of equations to process: 2681
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 886
% 42.09/42.29  New rule produced :
% 42.09/42.29  [978]
% 42.09/42.29  leq(A,multiplication(strong_iteration(B),multiplication(A,strong_iteration(C))))
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2680
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 887
% 42.09/42.29  New rule produced :
% 42.09/42.29  [979]
% 42.09/42.29  leq(A,multiplication(multiplication(A,strong_iteration(B)),star(C)) addition V_3)
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2679
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 888
% 42.09/42.29  New rule produced :
% 42.09/42.29  [980]
% 42.09/42.29  leq(A,multiplication(strong_iteration(B),multiplication(A,strong_iteration(C))) addition V_3)
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2678
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 889
% 42.09/42.29  New rule produced :
% 42.09/42.29  [981]
% 42.09/42.29  leq(strong_iteration(A),multiplication(strong_iteration(strong_iteration(A)),B))
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2678
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 890
% 42.09/42.29  New rule produced :
% 42.09/42.29  [982]
% 42.09/42.29  leq(A,multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C)))
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2685
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 891
% 42.09/42.29  New rule produced :
% 42.09/42.29  [983]
% 42.09/42.29  leq(A,multiplication(star(B),multiplication(A,strong_iteration(C)))) -> true
% 42.09/42.29  Current number of equations to process: 2684
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 892
% 42.09/42.29  New rule produced :
% 42.09/42.29  [984]
% 42.09/42.29  leq(A,multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C)) addition V_3)
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2683
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 893
% 42.09/42.29  New rule produced :
% 42.09/42.29  [985]
% 42.09/42.29  leq(A,multiplication(star(B),multiplication(A,strong_iteration(C))) addition V_3)
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2682
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 894
% 42.09/42.29  New rule produced :
% 42.09/42.29  [986] leq(multiplication(A,B),multiplication(A,strong_iteration(B))) -> true
% 42.09/42.29  Current number of equations to process: 2683
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 895
% 42.09/42.29  New rule produced :
% 42.09/42.29  [987]
% 42.09/42.29  leq(multiplication(A,B),multiplication(A,strong_iteration(B)) addition C) ->
% 42.09/42.29  true
% 42.09/42.29  Current number of equations to process: 2682
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 896
% 42.09/42.29  New rule produced :
% 42.09/42.29  [988]
% 42.09/42.29  leq(multiplication(A,B),multiplication(A,multiplication(B,strong_iteration(C))) addition V_3)
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2703
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 897
% 42.09/42.29  New rule produced :
% 42.09/42.29  [989]
% 42.09/42.29  multiplication(A,multiplication(star(B),strong_iteration(C))) addition A ->
% 42.09/42.29  multiplication(A,multiplication(star(B),strong_iteration(C)))
% 42.09/42.29  Current number of equations to process: 2702
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 898
% 42.09/42.29  New rule produced :
% 42.09/42.29  [990]
% 42.09/42.29  multiplication(multiplication(star(A),strong_iteration(B)),C) addition C ->
% 42.09/42.29  multiplication(multiplication(star(A),strong_iteration(B)),C)
% 42.09/42.29  Current number of equations to process: 2701
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 899
% 42.09/42.29  New rule produced :
% 42.09/42.29  [991] leq(strong_iteration(A),strong_iteration(star(B))) -> true
% 42.09/42.29  Current number of equations to process: 2723
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 900
% 42.09/42.29  New rule produced :
% 42.09/42.29  [992]
% 42.09/42.29  leq(one addition multiplication(star(A),zero),multiplication(star(A),
% 42.09/42.29                                                strong_iteration(B))) -> true
% 42.09/42.29  Current number of equations to process: 2762
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 901
% 42.09/42.29  New rule produced :
% 42.09/42.29  [993]
% 42.09/42.29  multiplication(A,multiplication(strong_iteration(B),strong_iteration(C))) addition A
% 42.09/42.29  -> multiplication(A,multiplication(strong_iteration(B),strong_iteration(C)))
% 42.09/42.29  Current number of equations to process: 2761
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 902
% 42.09/42.29  New rule produced :
% 42.09/42.29  [994]
% 42.09/42.29  multiplication(multiplication(strong_iteration(A),strong_iteration(B)),C) addition C
% 42.09/42.29  -> multiplication(multiplication(strong_iteration(A),strong_iteration(B)),C)
% 42.09/42.29  Current number of equations to process: 2760
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 903
% 42.09/42.29  New rule produced :
% 42.09/42.29  [995] leq(strong_iteration(A),strong_iteration(strong_iteration(B))) -> true
% 42.09/42.29  Current number of equations to process: 2782
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 904
% 42.09/42.29  New rule produced :
% 42.09/42.29  [996]
% 42.09/42.29  multiplication(A,multiplication(star(A),zero)) ->
% 42.09/42.29  multiplication(star(A),zero)
% 42.09/42.29  Rule
% 42.09/42.29  [471]
% 42.09/42.29  ifeq(leq(multiplication(A,multiplication(star(A),zero)),multiplication(
% 42.09/42.29                                                          star(A),zero)),true,true,true)
% 42.09/42.29  -> true collapsed.
% 42.09/42.29  Current number of equations to process: 2801
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 904
% 42.09/42.29  New rule produced :
% 42.09/42.29  [997]
% 42.09/42.29  multiplication(multiplication(A,B),multiplication(star(B),zero)) ->
% 42.09/42.29  multiplication(A,multiplication(star(B),zero))
% 42.09/42.29  Rule
% 42.09/42.29  [789]
% 42.09/42.29  multiplication(multiplication(star(A),A),multiplication(star(A),zero)) ->
% 42.09/42.29  multiplication(star(A),multiplication(star(A),zero)) collapsed.
% 42.09/42.29  Current number of equations to process: 2802
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 904
% 42.09/42.29  New rule produced :
% 42.09/42.29  [998]
% 42.09/42.29  multiplication(star(A),zero) addition multiplication(A,star(A)) ->
% 42.09/42.29  multiplication(A,star(A))
% 42.09/42.29  Rule
% 42.09/42.29  [756]
% 42.09/42.29  leq(multiplication(star(A),zero) addition multiplication(A,star(A)),star(A))
% 42.09/42.29  -> true collapsed.
% 42.09/42.29  Current number of equations to process: 2881
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 904
% 42.09/42.29  New rule produced :
% 42.09/42.29  [999]
% 42.09/42.29  leq(multiplication(star(A),zero),multiplication(multiplication(A,star(A)),B))
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2880
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 905
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1000]
% 42.09/42.29  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 42.09/42.29                                                            strong_iteration(A),
% 42.09/42.29                                                            strong_iteration(B)))
% 42.09/42.29  -> true
% 42.09/42.29  Current number of equations to process: 2879
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 906
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1001]
% 42.09/42.29  star(multiplication(A,star(A))) addition multiplication(star(A),zero) ->
% 42.09/42.29  star(multiplication(A,star(A)))
% 42.09/42.29  Current number of equations to process: 2878
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 907
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1002]
% 42.09/42.29  strong_iteration(multiplication(A,star(A))) addition multiplication(star(A),zero)
% 42.09/42.29  -> strong_iteration(multiplication(A,star(A)))
% 42.09/42.29  Current number of equations to process: 2877
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 908
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1003]
% 42.09/42.29  multiplication(star(A),B) addition multiplication(A,multiplication(star(A),B))
% 42.09/42.29  -> multiplication(star(A),B)
% 42.09/42.29  Current number of equations to process: 2875
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 909
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1004]
% 42.09/42.29  leq(multiplication(star(A),B),multiplication(strong_iteration(A),B)) -> true
% 42.09/42.29  Current number of equations to process: 2882
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 910
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1005]
% 42.09/42.29  leq(multiplication(A,multiplication(star(A),B)),multiplication(star(A),B)) ->
% 42.09/42.29  true
% 42.09/42.29  Current number of equations to process: 2947
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 911
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1006]
% 42.09/42.29  multiplication(star(A),multiplication(star(star(A)),B)) ->
% 42.09/42.29  multiplication(star(star(A)),B)
% 42.09/42.29  Current number of equations to process: 3011
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 912
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1007] leq(multiplication(A,zero),multiplication(star(A),B)) -> true
% 42.09/42.29  Current number of equations to process: 3064
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 913
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1008]
% 42.09/42.29  leq(multiplication(A,zero),multiplication(star(A),B) addition C) -> true
% 42.09/42.29  Current number of equations to process: 3069
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 914
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1009]
% 42.09/42.29  leq(multiplication(A,zero) addition B,multiplication(star(A),B)) -> true
% 42.09/42.29  Current number of equations to process: 3082
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 915
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1010]
% 42.09/42.29  star(A) addition multiplication(star(strong_iteration(A)),B) ->
% 42.09/42.29  strong_iteration(A) addition multiplication(star(strong_iteration(A)),B)
% 42.09/42.29  Current number of equations to process: 3127
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 916
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1011]
% 42.09/42.29  multiplication(star(multiplication(A,B)),C) addition multiplication(A,zero)
% 42.09/42.29  -> multiplication(star(multiplication(A,B)),C)
% 42.09/42.29  Current number of equations to process: 3126
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 917
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1012]
% 42.09/42.29  strong_iteration(A) addition star(multiplication(A,strong_iteration(A))) ->
% 42.09/42.29  star(multiplication(A,strong_iteration(A)))
% 42.09/42.29  Current number of equations to process: 3141
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 918
% 42.09/42.29  New rule produced :
% 42.09/42.29  [1013]
% 42.09/42.29  multiplication(star(multiplication(A,strong_iteration(A))),star(A)) ->
% 42.09/42.29  star(multiplication(A,strong_iteration(A)))
% 42.09/42.29  Current number of equations to process: 3142
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 919
% 42.09/42.29  New rule produced : [1014] leq(one addition A,strong_iteration(A)) -> true
% 42.09/42.29  Current number of equations to process: 3199
% 42.09/42.29  Current number of ordered equations: 0
% 42.09/42.29  Current number of rules: 920
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1015] leq(one addition A addition B,strong_iteration(A) addition B) -> true
% 42.62/42.84  Current number of equations to process: 3199
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 921
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1016]
% 42.62/42.84  leq(strong_iteration(A) addition strong_iteration(B),multiplication(strong_iteration(B),
% 42.62/42.84                                                       strong_iteration(A))) ->
% 42.62/42.84  true
% 42.62/42.84  Current number of equations to process: 3198
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 922
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1017]
% 42.62/42.84  leq(star(A),one addition multiplication(multiplication(A,star(A)),strong_iteration(B)))
% 42.62/42.84  -> true
% 42.62/42.84  Current number of equations to process: 3197
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 923
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1018]
% 42.62/42.84  leq(star(A),one addition multiplication(multiplication(star(A),A),strong_iteration(B)))
% 42.62/42.84  -> true
% 42.62/42.84  Current number of equations to process: 3196
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 924
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1019]
% 42.62/42.84  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 42.62/42.84                                                      strong_iteration(A)),
% 42.62/42.84                                       strong_iteration(B))) -> true
% 42.62/42.84  Current number of equations to process: 3195
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 925
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1020]
% 42.62/42.84  leq(strong_iteration(A) addition star(B),multiplication(star(B),strong_iteration(A)))
% 42.62/42.84  -> true
% 42.62/42.84  Current number of equations to process: 3229
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 926
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1021] leq(star(A) addition B,strong_iteration(B) addition star(A)) -> true
% 42.62/42.84  Current number of equations to process: 3239
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 927
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1022]
% 42.62/42.84  leq(strong_iteration(A) addition B,strong_iteration(A) addition strong_iteration(B))
% 42.62/42.84  -> true
% 42.62/42.84  Current number of equations to process: 3238
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 928
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1023]
% 42.62/42.84  leq(multiplication(A,B) addition A,multiplication(A,strong_iteration(B))) ->
% 42.62/42.84  true
% 42.62/42.84  Current number of equations to process: 3253
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 929
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1024]
% 42.62/42.84  leq(star(multiplication(A,star(A))),multiplication(strong_iteration(star(A)),B))
% 42.62/42.84  -> true
% 42.62/42.84  Current number of equations to process: 3279
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 930
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1025]
% 42.62/42.84  leq(multiplication(star(star(A)),zero),star(multiplication(A,star(A)))) ->
% 42.62/42.84  true
% 42.62/42.84  Current number of equations to process: 3281
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 931
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1026]
% 42.62/42.84  leq(multiplication(star(A),zero),star(multiplication(A,star(A)))) -> true
% 42.62/42.84  Current number of equations to process: 3285
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 932
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1027] leq(star(A),star(multiplication(A,star(A)))) -> true
% 42.62/42.84  Current number of equations to process: 3288
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 933
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1028] leq(star(A),star(multiplication(A,star(A))) addition B) -> true
% 42.62/42.84  Current number of equations to process: 3289
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 934
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1029]
% 42.62/42.84  ifeq(leq(star(multiplication(A,star(A))),star(A)),true,true,true) -> true
% 42.62/42.84  Current number of equations to process: 3296
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 935
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1030]
% 42.62/42.84  leq(multiplication(star(A),zero),star(multiplication(A,star(A))) addition B)
% 42.62/42.84  -> true
% 42.62/42.84  Current number of equations to process: 3295
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 936
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1031]
% 42.62/42.84  leq(star(A) addition B,star(multiplication(A,star(A))) addition B) -> true
% 42.62/42.84  Current number of equations to process: 3294
% 42.62/42.84  Current number of ordered equations: 0
% 42.62/42.84  Current number of rules: 937
% 42.62/42.84  New rule produced :
% 42.62/42.84  [1032]
% 42.62/42.84  leq(strong_iteration(multiplication(A,star(A))),multiplication(strong_iteration(
% 42.62/42.84                                                                 star(A)),B))
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3308
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 938
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1033]
% 42.92/43.16  leq(multiplication(star(star(A)),zero),strong_iteration(multiplication(A,
% 42.92/43.16                                                          star(A)))) -> true
% 42.92/43.16  Current number of equations to process: 3308
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 939
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1034]
% 42.92/43.16  strong_iteration(multiplication(A,star(A))) addition star(A) ->
% 42.92/43.16  strong_iteration(multiplication(A,star(A)))
% 42.92/43.16  Current number of equations to process: 3311
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 940
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1035]
% 42.92/43.16  leq(multiplication(star(A),zero),strong_iteration(multiplication(A,star(A))))
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3312
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 941
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1036] leq(star(A),strong_iteration(multiplication(A,star(A)))) -> true
% 42.92/43.16  Current number of equations to process: 3318
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 942
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1037]
% 42.92/43.16  leq(star(A),strong_iteration(multiplication(A,star(A))) addition B) -> true
% 42.92/43.16  Current number of equations to process: 3319
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 943
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1038]
% 42.92/43.16  ifeq(leq(strong_iteration(multiplication(A,star(A))),star(A)),true,true,true)
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3322
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 944
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1039]
% 42.92/43.16  leq(multiplication(star(A),zero),strong_iteration(multiplication(A,star(A))) addition B)
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3321
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 945
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1040]
% 42.92/43.16  leq(star(A) addition B,strong_iteration(multiplication(A,star(A))) addition B)
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3320
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 946
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1041]
% 42.92/43.16  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 42.92/43.16                                                                  strong_iteration(C)))
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3318
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 947
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1042]
% 42.92/43.16  ifeq(leq(multiplication(star(A),zero),multiplication(A,star(A))),true,true,true)
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3317
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 948
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1043]
% 42.92/43.16  leq(multiplication(star(A),zero),multiplication(multiplication(A,star(A)),B) addition C)
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3316
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 949
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1044]
% 42.92/43.16  multiplication(strong_iteration(A),multiplication(star(multiplication(A,
% 42.92/43.16                                                         strong_iteration(A))),B))
% 42.92/43.16  -> multiplication(star(multiplication(A,strong_iteration(A))),B)
% 42.92/43.16  Current number of equations to process: 3315
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 950
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1045]
% 42.92/43.16  leq(multiplication(A,multiplication(star(A),B)),multiplication(star(A),B) addition C)
% 42.92/43.16  -> true
% 42.92/43.16  Current number of equations to process: 3314
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 951
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1046]
% 42.92/43.16  multiplication(star(A),multiplication(star(multiplication(A,star(A))),B)) ->
% 42.92/43.16  multiplication(star(multiplication(A,star(A))),B)
% 42.92/43.16  Current number of equations to process: 3313
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 952
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1047]
% 42.92/43.16  multiplication(star(A),multiplication(star(multiplication(star(A),A)),B)) ->
% 42.92/43.16  multiplication(star(multiplication(star(A),A)),B)
% 42.92/43.16  Current number of equations to process: 3312
% 42.92/43.16  Current number of ordered equations: 0
% 42.92/43.16  Current number of rules: 953
% 42.92/43.16  New rule produced :
% 42.92/43.16  [1048]
% 42.92/43.16  multiplication(star(multiplication(A,strong_iteration(A))),multiplication(
% 42.92/43.16                                                             strong_iteration(A),B))
% 43.98/44.17  -> multiplication(star(multiplication(A,strong_iteration(A))),B)
% 43.98/44.17  Current number of equations to process: 3310
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 954
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1049]
% 43.98/44.17  leq(multiplication(multiplication(A,strong_iteration(B)),zero) addition A,
% 43.98/44.17  multiplication(A,strong_iteration(B))) -> true
% 43.98/44.17  Current number of equations to process: 3306
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 955
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1050]
% 43.98/44.17  multiplication(star(A),star(star(multiplication(A,star(A))))) ->
% 43.98/44.17  star(star(multiplication(A,star(A)))) addition star(A)
% 43.98/44.17  Current number of equations to process: 3305
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 956
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1051]
% 43.98/44.17  multiplication(multiplication(A,star(B)),star(multiplication(B,star(B)))) ->
% 43.98/44.17  multiplication(A,star(multiplication(B,star(B))))
% 43.98/44.17  Current number of equations to process: 3303
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 957
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1052]
% 43.98/44.17  multiplication(star(A),strong_iteration(star(multiplication(A,star(A))))) ->
% 43.98/44.17  strong_iteration(star(multiplication(A,star(A)))) addition star(A)
% 43.98/44.17  Current number of equations to process: 3302
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 958
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1053]
% 43.98/44.17  multiplication(star(A),star(strong_iteration(multiplication(A,star(A))))) ->
% 43.98/44.17  star(strong_iteration(multiplication(A,star(A)))) addition star(A)
% 43.98/44.17  Current number of equations to process: 3301
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 959
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1054]
% 43.98/44.17  multiplication(star(A),multiplication(strong_iteration(multiplication(A,
% 43.98/44.17                                                         star(A))),B)) ->
% 43.98/44.17  multiplication(strong_iteration(multiplication(A,star(A))),B)
% 43.98/44.17  Current number of equations to process: 3300
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 960
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1055]
% 43.98/44.17  multiplication(multiplication(A,star(B)),strong_iteration(multiplication(B,
% 43.98/44.17                                                            star(B)))) ->
% 43.98/44.17  multiplication(A,strong_iteration(multiplication(B,star(B))))
% 43.98/44.17  Current number of equations to process: 3299
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 961
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1056]
% 43.98/44.17  multiplication(star(A),strong_iteration(strong_iteration(multiplication(A,
% 43.98/44.17                                                           star(A))))) ->
% 43.98/44.17  strong_iteration(strong_iteration(multiplication(A,star(A)))) addition 
% 43.98/44.17  star(A)
% 43.98/44.17  Current number of equations to process: 3296
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 962
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1057] leq(A addition B,strong_iteration(A) addition B) -> true
% 43.98/44.17  Rule
% 43.98/44.17  [1021] leq(star(A) addition B,strong_iteration(B) addition star(A)) -> true
% 43.98/44.17  collapsed.
% 43.98/44.17  Rule
% 43.98/44.17  [1022]
% 43.98/44.17  leq(strong_iteration(A) addition B,strong_iteration(A) addition strong_iteration(B))
% 43.98/44.17  -> true collapsed.
% 43.98/44.17  Current number of equations to process: 3418
% 43.98/44.17  Current number of ordered equations: 1
% 43.98/44.17  Current number of rules: 961
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1058] leq(one addition A,strong_iteration(A) addition B) -> true
% 43.98/44.17  Current number of equations to process: 3418
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 962
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1059] leq(A addition B,strong_iteration(A) addition B addition C) -> true
% 43.98/44.17  Current number of equations to process: 3417
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 963
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1060]
% 43.98/44.17  leq(one addition A addition B,strong_iteration(A) addition B addition C) ->
% 43.98/44.17  true
% 43.98/44.17  Current number of equations to process: 3417
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 964
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1061]
% 43.98/44.17  leq(A addition B,multiplication(multiplication(A,strong_iteration(C)),
% 43.98/44.17                   star(V_3)) addition B) -> true
% 43.98/44.17  Current number of equations to process: 3416
% 43.98/44.17  Current number of ordered equations: 0
% 43.98/44.17  Current number of rules: 965
% 43.98/44.17  New rule produced :
% 43.98/44.17  [1062]
% 43.98/44.17  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(A,
% 43.98/44.17                                                                  strong_iteration(V_3)))
% 44.12/44.34  -> true
% 44.12/44.34  Current number of equations to process: 3413
% 44.12/44.34  Current number of ordered equations: 2
% 44.12/44.34  Current number of rules: 966
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1063]
% 44.12/44.34  leq(A addition B,multiplication(strong_iteration(C),multiplication(A,
% 44.12/44.34                                                      strong_iteration(V_3))) addition B)
% 44.12/44.34  -> true
% 44.12/44.34  Current number of equations to process: 3413
% 44.12/44.34  Current number of ordered equations: 1
% 44.12/44.34  Current number of rules: 967
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1064]
% 44.12/44.34  leq(strong_iteration(A) addition strong_iteration(B),multiplication(strong_iteration(B),
% 44.12/44.34                                                       strong_iteration(A)) addition C)
% 44.12/44.34  -> true
% 44.12/44.34  Current number of equations to process: 3413
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 968
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1065]
% 44.12/44.34  one addition multiplication(multiplication(star(A),strong_iteration(B)),
% 44.12/44.34               star(C)) ->
% 44.12/44.34  multiplication(multiplication(star(A),strong_iteration(B)),star(C))
% 44.12/44.34  Current number of equations to process: 3412
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 969
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1066]
% 44.12/44.34  one addition multiplication(strong_iteration(A),multiplication(star(B),
% 44.12/44.34                                                  strong_iteration(C))) ->
% 44.12/44.34  multiplication(strong_iteration(A),multiplication(star(B),strong_iteration(C)))
% 44.12/44.34  Current number of equations to process: 3411
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 970
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1067]
% 44.12/44.34  one addition multiplication(multiplication(star(A),strong_iteration(B)),
% 44.12/44.34               strong_iteration(C)) ->
% 44.12/44.34  multiplication(multiplication(star(A),strong_iteration(B)),strong_iteration(C))
% 44.12/44.34  Current number of equations to process: 3409
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 971
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1068]
% 44.12/44.34  one addition multiplication(star(A),multiplication(star(B),strong_iteration(C)))
% 44.12/44.34  -> multiplication(star(A),multiplication(star(B),strong_iteration(C)))
% 44.12/44.34  Current number of equations to process: 3408
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 972
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1069]
% 44.12/44.34  one addition multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.12/44.34               star(C)) ->
% 44.12/44.34  multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.12/44.34  star(C))
% 44.12/44.34  Current number of equations to process: 3401
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 973
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1070]
% 44.12/44.34  one addition multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 44.12/44.34                                                  strong_iteration(C))) ->
% 44.12/44.34  multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 44.12/44.34                                     strong_iteration(C)))
% 44.12/44.34  Current number of equations to process: 3400
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 974
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1071]
% 44.12/44.34  one addition multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.12/44.34               strong_iteration(C)) ->
% 44.12/44.34  multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.12/44.34  strong_iteration(C))
% 44.12/44.34  Current number of equations to process: 3398
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 975
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1072]
% 44.12/44.34  one addition multiplication(star(A),multiplication(strong_iteration(B),
% 44.12/44.34                                      strong_iteration(C))) ->
% 44.12/44.34  multiplication(star(A),multiplication(strong_iteration(B),strong_iteration(C)))
% 44.12/44.34  Current number of equations to process: 3397
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 976
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1073]
% 44.12/44.34  multiplication(star(A),zero) addition multiplication(multiplication(A,
% 44.12/44.34                                                       star(A)),B) ->
% 44.12/44.34  multiplication(multiplication(A,star(A)),B)
% 44.12/44.34  Current number of equations to process: 3390
% 44.12/44.34  Current number of ordered equations: 0
% 44.12/44.34  Current number of rules: 977
% 44.12/44.34  New rule produced :
% 44.12/44.34  [1074]
% 44.12/44.34  multiplication(multiplication(A,multiplication(B,C)),multiplication(star(C),zero))
% 44.12/44.34  -> multiplication(multiplication(A,B),multiplication(star(C),zero))
% 44.12/44.34  Current number of equations to process: 3389
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 978
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1075]
% 46.70/46.96  strong_iteration(A) addition multiplication(B,multiplication(star(B),star(A)))
% 46.70/46.96  -> strong_iteration(A) addition multiplication(star(B),star(A))
% 46.70/46.96  Current number of equations to process: 3386
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 979
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1076]
% 46.70/46.96  multiplication(A,multiplication(star(A),multiplication(B,zero))) addition B
% 46.70/46.96  -> multiplication(star(A),multiplication(B,zero)) addition B
% 46.70/46.96  Current number of equations to process: 3385
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 980
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1077]
% 46.70/46.96  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 46.70/46.96                                                                  strong_iteration(V_3)))
% 46.70/46.96  -> true
% 46.70/46.96  Rule
% 46.70/46.96  [1041]
% 46.70/46.96  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 46.70/46.96                                                                  strong_iteration(C)))
% 46.70/46.96  -> true collapsed.
% 46.70/46.96  Current number of equations to process: 3481
% 46.70/46.96  Current number of ordered equations: 1
% 46.70/46.96  Current number of rules: 980
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1078]
% 46.70/46.96  leq(A addition B,multiplication(multiplication(A,strong_iteration(C)),
% 46.70/46.96                   strong_iteration(V_3)) addition B) -> true
% 46.70/46.96  Current number of equations to process: 3481
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 981
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1079]
% 46.70/46.96  leq(A addition B,multiplication(star(C),B) addition multiplication(A,
% 46.70/46.96                                                      strong_iteration(V_3)))
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3478
% 46.70/46.96  Current number of ordered equations: 2
% 46.70/46.96  Current number of rules: 982
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1080]
% 46.70/46.96  leq(A addition B,multiplication(star(C),multiplication(A,strong_iteration(V_3))) addition B)
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3478
% 46.70/46.96  Current number of ordered equations: 1
% 46.70/46.96  Current number of rules: 983
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1081]
% 46.70/46.96  leq(strong_iteration(A) addition star(B),multiplication(star(B),strong_iteration(A)) addition C)
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3478
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 984
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1082]
% 46.70/46.96  leq(multiplication(A,zero) addition B,multiplication(B,strong_iteration(C)) addition A)
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3535
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 985
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1083]
% 46.70/46.96  leq(multiplication(A,B) addition C,multiplication(A,strong_iteration(B)) addition C)
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3577
% 46.70/46.96  Current number of ordered equations: 1
% 46.70/46.96  Current number of rules: 986
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1084]
% 46.70/46.96  leq(multiplication(A,B) addition A,multiplication(A,strong_iteration(B)) addition C)
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3577
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 987
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1085]
% 46.70/46.96  star(A) addition multiplication(multiplication(A,star(A)),A) -> star(A)
% 46.70/46.96  Current number of equations to process: 3611
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 988
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1086]
% 46.70/46.96  leq(multiplication(A,zero) addition B,star(A) addition multiplication(B,
% 46.70/46.96                                                         strong_iteration(C)))
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3637
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 989
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1087]
% 46.70/46.96  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(B,
% 46.70/46.96                                                                     strong_iteration(C)))
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3636
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 990
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1088]
% 46.70/46.96  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),
% 46.70/46.96                                            multiplication(C,strong_iteration(V_3))))
% 46.70/46.96  -> true
% 46.70/46.96  Current number of equations to process: 3635
% 46.70/46.96  Current number of ordered equations: 0
% 46.70/46.96  Current number of rules: 991
% 46.70/46.96  New rule produced :
% 46.70/46.96  [1089]
% 46.70/46.96  leq(multiplication(A,multiplication(B,C)),multiplication(A,multiplication(B,
% 46.93/47.14                                                             multiplication(C,
% 46.93/47.14                                                             strong_iteration(V_3)))))
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3634
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 992
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1090]
% 46.93/47.14  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(
% 46.93/47.14                                                             multiplication(B,C),
% 46.93/47.14                                                             strong_iteration(V_3))))
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3633
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 993
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1091]
% 46.93/47.14  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(B,
% 46.93/47.14                                                             multiplication(C,
% 46.93/47.14                                                             strong_iteration(V_3)))))
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3632
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 994
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1092]
% 46.93/47.14  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition 
% 46.93/47.14                     multiplication(A,star(V_3))) -> true
% 46.93/47.14  Current number of equations to process: 3631
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 995
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1093]
% 46.93/47.14  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 46.93/47.14                     multiplication(A,star(V_3))) -> true
% 46.93/47.14  Current number of equations to process: 3630
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 996
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1094]
% 46.93/47.14  leq(multiplication(A,zero) addition B addition C,multiplication(star(A),B) addition C)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3629
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 997
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1095]
% 46.93/47.14  leq(multiplication(A,B) addition C,multiplication(A,multiplication(B,
% 46.93/47.14                                                      strong_iteration(V_3))) addition C)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3628
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 998
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1096]
% 46.93/47.14  leq(multiplication(A,B) addition A addition C,multiplication(A,strong_iteration(B)) addition C)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3625
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 999
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1097]
% 46.93/47.14  ifeq(leq(star(A),zero),true,leq(star(multiplication(A,star(A))),zero),true)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3624
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 1000
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1098]
% 46.93/47.14  leq(multiplication(star(A),zero) addition B,star(multiplication(A,star(A))) addition B)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3623
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 1001
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1099]
% 46.93/47.14  leq(star(A) addition B,star(multiplication(A,star(A))) addition B addition C)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3622
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 1002
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1100]
% 46.93/47.14  leq(multiplication(star(A),zero) addition B,strong_iteration(multiplication(A,
% 46.93/47.14                                                               star(A))) addition B)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3621
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 1003
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1101]
% 46.93/47.14  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(strong_iteration(A),
% 46.93/47.14                                                       strong_iteration(C)) addition B)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3620
% 46.93/47.14  Current number of ordered equations: 0
% 46.93/47.14  Current number of rules: 1004
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1102]
% 46.93/47.14  leq(star(A),one addition multiplication(multiplication(A,star(A)),strong_iteration(B)) addition C)
% 46.93/47.14  -> true
% 46.93/47.14  Current number of equations to process: 3618
% 46.93/47.14  Current number of ordered equations: 1
% 46.93/47.14  Current number of rules: 1005
% 46.93/47.14  New rule produced :
% 46.93/47.14  [1103]
% 46.93/47.14  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(B,
% 47.14/47.34                                                            strong_iteration(C)))
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3618
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1006
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1104]
% 47.14/47.34  leq(star(A),one addition multiplication(multiplication(star(A),A),strong_iteration(B)) addition C)
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3616
% 47.14/47.34  Current number of ordered equations: 1
% 47.14/47.34  Current number of rules: 1007
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1105]
% 47.14/47.34  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(B,
% 47.14/47.34                                                            strong_iteration(C)))
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3616
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1008
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1106]
% 47.14/47.34  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 47.14/47.34                                                      strong_iteration(A)),
% 47.14/47.34                                       strong_iteration(B)) addition C) -> true
% 47.14/47.34  Current number of equations to process: 3614
% 47.14/47.34  Current number of ordered equations: 1
% 47.14/47.34  Current number of rules: 1009
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1107]
% 47.14/47.34  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 47.14/47.34                                                       multiplication(B,
% 47.14/47.34                                                       strong_iteration(C))) ->
% 47.14/47.34  true
% 47.14/47.34  Current number of equations to process: 3614
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1010
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1108]
% 47.14/47.34  leq(multiplication(A,zero) addition B,multiplication(A,C) addition multiplication(B,
% 47.14/47.34                                                                     strong_iteration(V_3)))
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3613
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1011
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1109]
% 47.14/47.34  leq(multiplication(A,star(A)) addition B,multiplication(star(A),strong_iteration(C)) addition B)
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3612
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1012
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1110]
% 47.14/47.34  leq(multiplication(star(A),A) addition B,multiplication(star(A),strong_iteration(C)) addition B)
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3611
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1013
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1111]
% 47.14/47.34  leq(multiplication(A,zero) addition B,multiplication(B,strong_iteration(C)) addition A addition V_3)
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3610
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1014
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1112]
% 47.14/47.34  leq(one addition A,multiplication(star(B),star(C)) addition multiplication(A,
% 47.14/47.34                                                              strong_iteration(V_3)))
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3609
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1015
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1113]
% 47.14/47.34  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 47.14/47.34                     multiplication(A,strong_iteration(V_3))) -> true
% 47.14/47.34  Current number of equations to process: 3608
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1016
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1114]
% 47.14/47.34  leq(multiplication(A,B) addition C,multiplication(A,strong_iteration(B)) addition C addition V_3)
% 47.14/47.34  -> true
% 47.14/47.34  Current number of equations to process: 3607
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1017
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1115]
% 47.14/47.34  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition 
% 47.14/47.34                     multiplication(A,strong_iteration(V_3))) -> true
% 47.14/47.34  Current number of equations to process: 3606
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1018
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1116]
% 47.14/47.34  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 47.14/47.34                     multiplication(A,strong_iteration(V_3))) -> true
% 47.14/47.34  Current number of equations to process: 3605
% 47.14/47.34  Current number of ordered equations: 0
% 47.14/47.34  Current number of rules: 1019
% 47.14/47.34  New rule produced :
% 47.14/47.34  [1117]
% 47.14/47.34  leq(star(A) addition B,strong_iteration(multiplication(A,star(A))) addition B addition C)
% 49.01/49.20  -> true
% 49.01/49.20  Current number of equations to process: 3604
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1020
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1118]
% 49.01/49.20  leq(A,multiplication(strong_iteration(multiplication(B,star(B))),multiplication(
% 49.01/49.20                                                                   star(B),A)))
% 49.01/49.20  -> true
% 49.01/49.20  Current number of equations to process: 3660
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1021
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1119]
% 49.01/49.20  multiplication(star(A),A) addition multiplication(A,star(A)) ->
% 49.01/49.20  multiplication(star(A),A)
% 49.01/49.20  Rule
% 49.01/49.20  [677]
% 49.01/49.20  leq(multiplication(star(A),A) addition multiplication(A,star(A)),star(A)) ->
% 49.01/49.20  true collapsed.
% 49.01/49.20  Current number of equations to process: 3715
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1021
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1120]
% 49.01/49.20  leq(multiplication(A,B),multiplication(multiplication(star(C),A),B)) -> true
% 49.01/49.20  Current number of equations to process: 3748
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1022
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1121] leq(A,multiplication(strong_iteration(star(B)),zero)) -> true
% 49.01/49.20  Current number of equations to process: 3753
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1023
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1122] leq(star(A),star(multiplication(star(A),A))) -> true
% 49.01/49.20  Current number of equations to process: 3753
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1024
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1123]
% 49.01/49.20  leq(strong_iteration(A),star(multiplication(A,strong_iteration(A)))) -> true
% 49.01/49.20  Current number of equations to process: 3753
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1025
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1124] leq(A,multiplication(multiplication(star(B),A),star(C))) -> true
% 49.01/49.20  Current number of equations to process: 3758
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1026
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1125]
% 49.01/49.20  leq(A,multiplication(strong_iteration(B),multiplication(star(C),A))) -> true
% 49.01/49.20  Rule
% 49.01/49.20  [1118]
% 49.01/49.20  leq(A,multiplication(strong_iteration(multiplication(B,star(B))),multiplication(
% 49.01/49.20                                                                   star(B),A)))
% 49.01/49.20  -> true collapsed.
% 49.01/49.20  Current number of equations to process: 3757
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1026
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1126]
% 49.01/49.20  leq(A,multiplication(multiplication(star(B),A),star(C)) addition V_3) -> true
% 49.01/49.20  Current number of equations to process: 3756
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1027
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1127]
% 49.01/49.20  leq(A,multiplication(strong_iteration(B),multiplication(star(C),A)) addition V_3)
% 49.01/49.20  -> true
% 49.01/49.20  Current number of equations to process: 3755
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1028
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1128] leq(A,multiplication(strong_iteration(star(B)),C)) -> true
% 49.01/49.20  Rule [533] leq(one,multiplication(strong_iteration(star(A)),B)) -> true
% 49.01/49.20  collapsed.
% 49.01/49.20  Rule [865] leq(star(A),multiplication(strong_iteration(star(A)),B)) -> true
% 49.01/49.20  collapsed.
% 49.01/49.20  Rule [874] leq(A,multiplication(strong_iteration(star(A)),star(A))) -> true
% 49.01/49.20  collapsed.
% 49.01/49.20  Rule
% 49.01/49.20  [1024]
% 49.01/49.20  leq(star(multiplication(A,star(A))),multiplication(strong_iteration(star(A)),B))
% 49.01/49.20  -> true collapsed.
% 49.01/49.20  Rule
% 49.01/49.20  [1032]
% 49.01/49.20  leq(strong_iteration(multiplication(A,star(A))),multiplication(strong_iteration(
% 49.01/49.20                                                                 star(A)),B))
% 49.01/49.20  -> true collapsed.
% 49.01/49.20  Rule [1121] leq(A,multiplication(strong_iteration(star(B)),zero)) -> true
% 49.01/49.20  collapsed.
% 49.01/49.20  Current number of equations to process: 3755
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1023
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1129]
% 49.01/49.20  leq(A,multiplication(multiplication(star(B),A),strong_iteration(C))) -> true
% 49.01/49.20  Current number of equations to process: 3762
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1024
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1130] leq(A,multiplication(star(B),multiplication(star(C),A))) -> true
% 49.01/49.20  Current number of equations to process: 3761
% 49.01/49.20  Current number of ordered equations: 0
% 49.01/49.20  Current number of rules: 1025
% 49.01/49.20  New rule produced :
% 49.01/49.20  [1131]
% 49.01/49.20  leq(A,multiplication(multiplication(star(B),A),strong_iteration(C)) addition V_3)
% 49.01/49.20  -> true
% 49.01/49.20  Current number of equations to process: 3760
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1026
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1132]
% 52.83/53.07  leq(A,multiplication(star(B),multiplication(star(C),A)) addition V_3) -> true
% 52.83/53.07  Current number of equations to process: 3759
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1027
% 52.83/53.07  New rule produced : [1133] leq(A,strong_iteration(star(B))) -> true
% 52.83/53.07  Rule [862] leq(A,strong_iteration(star(A))) -> true collapsed.
% 52.83/53.07  Rule [878] leq(star(A),strong_iteration(star(B))) -> true collapsed.
% 52.83/53.07  Rule [991] leq(strong_iteration(A),strong_iteration(star(B))) -> true
% 52.83/53.07  collapsed.
% 52.83/53.07  Current number of equations to process: 3759
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1025
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1134] leq(star(A),star(multiplication(star(A),A)) addition B) -> true
% 52.83/53.07  Current number of equations to process: 3759
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1026
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1135]
% 52.83/53.07  leq(strong_iteration(A),star(multiplication(A,strong_iteration(A))) addition B)
% 52.83/53.07  -> true
% 52.83/53.07  Current number of equations to process: 3759
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1027
% 52.83/53.07  Rule [788]
% 52.83/53.07       multiplication(multiplication(A,star(A)),multiplication(A,zero)) ->
% 52.83/53.07       multiplication(star(A),multiplication(A,zero)) is composed into 
% 52.83/53.07  [788]
% 52.83/53.07  multiplication(multiplication(A,star(A)),multiplication(A,zero)) ->
% 52.83/53.07  multiplication(star(A),zero)
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1136]
% 52.83/53.07  multiplication(star(A),multiplication(A,zero)) ->
% 52.83/53.07  multiplication(star(A),zero)
% 52.83/53.07  Rule
% 52.83/53.07  [842]
% 52.83/53.07  ifeq(leq(A,one),true,leq(multiplication(star(A),multiplication(A,zero)),one),true)
% 52.83/53.07  -> true collapsed.
% 52.83/53.07  Current number of equations to process: 3782
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1027
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1137]
% 52.83/53.07  leq(multiplication(A,B),multiplication(multiplication(star(C),A),B) addition V_3)
% 52.83/53.07  -> true
% 52.83/53.07  Current number of equations to process: 3810
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1028
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1138]
% 52.83/53.07  multiplication(star(A),multiplication(A,B)) addition multiplication(star(A),B)
% 52.83/53.07  -> multiplication(star(A),B)
% 52.83/53.07  Current number of equations to process: 3809
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1029
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1139]
% 52.83/53.07  leq(multiplication(star(A),multiplication(A,B)),multiplication(star(A),B)) ->
% 52.83/53.07  true
% 52.83/53.07  Current number of equations to process: 3884
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1030
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1140]
% 52.83/53.07  star(star(A)) addition multiplication(star(star(A)),A) ->
% 52.83/53.07  star(star(A)) addition A
% 52.83/53.07  Current number of equations to process: 3883
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1031
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1141]
% 52.83/53.07  multiplication(star(A),B) addition multiplication(A,B) ->
% 52.83/53.07  multiplication(star(A),B)
% 52.83/53.07  Current number of equations to process: 3943
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1032
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1142] leq(multiplication(A,B),multiplication(star(A),B)) -> true
% 52.83/53.07  Current number of equations to process: 4091
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1033
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1143] leq(multiplication(A,B),multiplication(star(A),B) addition C) -> true
% 52.83/53.07  Current number of equations to process: 4122
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1034
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1144]
% 52.83/53.07  leq(multiplication(star(one),star(A)),multiplication(star(B),strong_iteration(A)))
% 52.83/53.07  -> true
% 52.83/53.07  Current number of equations to process: 4156
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1035
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1145]
% 52.83/53.07  leq(multiplication(star(A),star(one)),multiplication(star(B),strong_iteration(A)))
% 52.83/53.07  -> true
% 52.83/53.07  Current number of equations to process: 4159
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1036
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1146]
% 52.83/53.07  leq(multiplication(star(A),A),multiplication(star(B),strong_iteration(A))) ->
% 52.83/53.07  true
% 52.83/53.07  Current number of equations to process: 4172
% 52.83/53.07  Current number of ordered equations: 0
% 52.83/53.07  Current number of rules: 1037
% 52.83/53.07  New rule produced :
% 52.83/53.07  [1147]
% 52.83/53.07  leq(multiplication(A,star(A)),multiplication(star(B),strong_iteration(A))) ->
% 52.83/53.07  true
% 52.83/53.07  Current number of equations to process: 4173
% 55.41/55.60  Current number of ordered equations: 0
% 55.41/55.60  Current number of rules: 1038
% 55.41/55.60  New rule produced :
% 55.41/55.60  [1148]
% 55.41/55.60  star(multiplication(A,strong_iteration(A))) addition star(A) ->
% 55.41/55.60  star(multiplication(A,strong_iteration(A)))
% 55.41/55.60  Current number of equations to process: 4200
% 55.41/55.60  Current number of ordered equations: 0
% 55.41/55.60  Current number of rules: 1039
% 55.41/55.60  New rule produced :
% 55.41/55.60  [1149]
% 55.41/55.60  leq(star(A) addition star(B),multiplication(star(A),strong_iteration(B))) ->
% 55.41/55.60  true
% 55.41/55.60  Current number of equations to process: 4205
% 55.41/55.60  Current number of ordered equations: 0
% 55.41/55.60  Current number of rules: 1040
% 55.41/55.60  New rule produced :
% 55.41/55.60  [1150]
% 55.41/55.60  leq(multiplication(star(A),A),multiplication(star(B),strong_iteration(A)) addition C)
% 55.41/55.60  -> true
% 55.41/55.60  Current number of equations to process: 4261
% 55.41/55.60  Current number of ordered equations: 0
% 55.41/55.60  Current number of rules: 1041
% 55.41/55.60  New rule produced :
% 55.41/55.60  [1151]
% 55.41/55.60  leq(multiplication(A,star(A)),multiplication(star(B),strong_iteration(A)) addition C)
% 55.41/55.60  -> true
% 55.41/55.60  Current number of equations to process: 4260
% 55.41/55.60  Current number of ordered equations: 0
% 55.41/55.60  Current number of rules: 1042
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1152]
% 55.52/55.78  multiplication(star(A),strong_iteration(B)) addition multiplication(star(B),zero)
% 55.52/55.78  -> multiplication(star(A),strong_iteration(B))
% 55.52/55.78  Current number of equations to process: 4259
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1043
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1153]
% 55.52/55.78  leq(star(A),one addition multiplication(star(B),multiplication(A,star(A))))
% 55.52/55.78  -> true
% 55.52/55.78  Current number of equations to process: 4258
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1044
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1154]
% 55.52/55.78  leq(star(A),one addition multiplication(star(B),multiplication(star(A),A)))
% 55.52/55.78  -> true
% 55.52/55.78  Current number of equations to process: 4257
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1045
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1155]
% 55.52/55.78  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(A,
% 55.52/55.78                                                              strong_iteration(A))))
% 55.52/55.78  -> true
% 55.52/55.78  Current number of equations to process: 4256
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1046
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1156] leq(multiplication(A,B) addition B,multiplication(star(A),B)) -> true
% 55.52/55.78  Current number of equations to process: 4354
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1047
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1157]
% 55.52/55.78  leq(star(A) addition B,star(multiplication(star(A),A)) addition B) -> true
% 55.52/55.78  Current number of equations to process: 4353
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1048
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1158]
% 55.52/55.78  leq(strong_iteration(A) addition B,star(multiplication(A,strong_iteration(A))) addition B)
% 55.52/55.78  -> true
% 55.52/55.78  Current number of equations to process: 4352
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1049
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1159]
% 55.52/55.78  star(A) addition multiplication(A,star(multiplication(A,star(A)))) ->
% 55.52/55.78  star(multiplication(A,star(A)))
% 55.52/55.78  Current number of equations to process: 4351
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1050
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1160]
% 55.52/55.78  one addition multiplication(multiplication(A,star(A)),star(A)) ->
% 55.52/55.78  multiplication(star(A),star(A))
% 55.52/55.78  Current number of equations to process: 4372
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1051
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1161] leq(star(multiplication(A,star(A))),star(A)) -> true
% 55.52/55.78  Rule
% 55.52/55.78  [1029]
% 55.52/55.78  ifeq(leq(star(multiplication(A,star(A))),star(A)),true,true,true) -> true
% 55.52/55.78  collapsed.
% 55.52/55.78  Current number of equations to process: 4375
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1051
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1162]
% 55.52/55.78  star(A) addition multiplication(A,strong_iteration(multiplication(A,star(A))))
% 55.52/55.78  -> strong_iteration(multiplication(A,star(A)))
% 55.52/55.78  Current number of equations to process: 4382
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1052
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1163]
% 55.52/55.78  leq(multiplication(star(star(A)),zero),star(multiplication(star(A),A))) ->
% 55.52/55.78  true
% 55.52/55.78  Current number of equations to process: 4430
% 55.52/55.78  Current number of ordered equations: 0
% 55.52/55.78  Current number of rules: 1053
% 55.52/55.78  New rule produced :
% 55.52/55.78  [1164]
% 55.52/55.78  leq(multiplication(star(A),zero),star(multiplication(star(A),A))) -> true
% 55.93/56.10  Current number of equations to process: 4434
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1054
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1165]
% 55.93/56.10  ifeq(leq(star(multiplication(star(A),A)),star(A)),true,true,true) -> true
% 55.93/56.10  Current number of equations to process: 4444
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1055
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1166]
% 55.93/56.10  leq(multiplication(star(A),zero),star(multiplication(star(A),A)) addition B)
% 55.93/56.10  -> true
% 55.93/56.10  Current number of equations to process: 4443
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1056
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1167]
% 55.93/56.10  star(A) addition multiplication(star(multiplication(star(A),A)),A) ->
% 55.93/56.10  star(multiplication(star(A),A))
% 55.93/56.10  Current number of equations to process: 4442
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1057
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1168]
% 55.93/56.10  leq(multiplication(star(star(A)),zero),strong_iteration(multiplication(
% 55.93/56.10                                                          star(A),A))) -> true
% 55.93/56.10  Current number of equations to process: 4456
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1058
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1169]
% 55.93/56.10  strong_iteration(multiplication(star(A),A)) addition star(A) ->
% 55.93/56.10  strong_iteration(multiplication(star(A),A))
% 55.93/56.10  Current number of equations to process: 4459
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1059
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1170]
% 55.93/56.10  leq(multiplication(star(A),zero),strong_iteration(multiplication(star(A),A)))
% 55.93/56.10  -> true
% 55.93/56.10  Current number of equations to process: 4460
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1060
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1171] leq(star(A),strong_iteration(multiplication(star(A),A))) -> true
% 55.93/56.10  Current number of equations to process: 4466
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1061
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1172]
% 55.93/56.10  leq(star(A),strong_iteration(multiplication(star(A),A)) addition B) -> true
% 55.93/56.10  Current number of equations to process: 4467
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1062
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1173]
% 55.93/56.10  ifeq(leq(strong_iteration(multiplication(star(A),A)),star(A)),true,true,true)
% 55.93/56.10  -> true
% 55.93/56.10  Current number of equations to process: 4471
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1063
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1174]
% 55.93/56.10  leq(multiplication(star(A),zero),strong_iteration(multiplication(star(A),A)) addition B)
% 55.93/56.10  -> true
% 55.93/56.10  Current number of equations to process: 4470
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1064
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1175]
% 55.93/56.10  leq(star(A) addition B,strong_iteration(multiplication(star(A),A)) addition B)
% 55.93/56.10  -> true
% 55.93/56.10  Current number of equations to process: 4469
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1065
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1176]
% 55.93/56.10  leq(A addition B,multiplication(star(C),A) addition multiplication(star(C),B))
% 55.93/56.10  -> true
% 55.93/56.10  Current number of equations to process: 4468
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1066
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1177]
% 55.93/56.10  leq(multiplication(star(A),multiplication(A,B)),multiplication(star(A),B) addition C)
% 55.93/56.10  -> true
% 55.93/56.10  Current number of equations to process: 4467
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1067
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1178]
% 55.93/56.10  multiplication(star(star(multiplication(A,star(A)))),star(A)) ->
% 55.93/56.10  star(star(multiplication(A,star(A)))) addition star(A)
% 55.93/56.10  Current number of equations to process: 4466
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1068
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1179]
% 55.93/56.10  multiplication(star(star(multiplication(star(A),A))),star(A)) ->
% 55.93/56.10  star(star(multiplication(star(A),A))) addition star(A)
% 55.93/56.10  Current number of equations to process: 4465
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1069
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1180]
% 55.93/56.10  multiplication(star(star(multiplication(A,strong_iteration(A)))),strong_iteration(A))
% 55.93/56.10  ->
% 55.93/56.10  strong_iteration(A) addition star(star(multiplication(A,strong_iteration(A))))
% 55.93/56.10  Current number of equations to process: 4464
% 55.93/56.10  Current number of ordered equations: 0
% 55.93/56.10  Current number of rules: 1070
% 55.93/56.10  New rule produced :
% 55.93/56.10  [1181]
% 55.93/56.10  leq(multiplication(star(one),star(A)),multiplication(star(B),strong_iteration(A)) addition C)
% 56.24/56.45  -> true
% 56.24/56.45  Current number of equations to process: 4463
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1071
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1182]
% 56.24/56.45  leq(multiplication(star(A),star(one)),multiplication(star(B),strong_iteration(A)) addition C)
% 56.24/56.45  -> true
% 56.24/56.45  Current number of equations to process: 4462
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1072
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1183]
% 56.24/56.45  leq(star(A) addition multiplication(star(B),zero),multiplication(star(B),
% 56.24/56.45                                                    strong_iteration(A))) ->
% 56.24/56.45  true
% 56.24/56.45  Current number of equations to process: 4461
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1073
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1184]
% 56.24/56.45  leq(star(A) addition star(B),multiplication(star(A),strong_iteration(B)) addition C)
% 56.24/56.45  -> true
% 56.24/56.45  Current number of equations to process: 4459
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1074
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1185]
% 56.24/56.45  multiplication(multiplication(star(A),A),multiplication(star(A),B)) <->
% 56.24/56.45  multiplication(multiplication(multiplication(A,star(A)),star(A)),B)
% 56.24/56.45  Current number of equations to process: 4457
% 56.24/56.45  Current number of ordered equations: 1
% 56.24/56.45  Current number of rules: 1075
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1186]
% 56.24/56.45  multiplication(multiplication(multiplication(A,star(A)),star(A)),B) <->
% 56.24/56.45  multiplication(multiplication(star(A),A),multiplication(star(A),B))
% 56.24/56.45  Current number of equations to process: 4457
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1076
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1187]
% 56.24/56.45  multiplication(A,multiplication(multiplication(B,star(B)),star(B))) <->
% 56.24/56.45  multiplication(multiplication(A,star(B)),multiplication(B,star(B)))
% 56.24/56.45  Current number of equations to process: 4456
% 56.24/56.45  Current number of ordered equations: 1
% 56.24/56.45  Current number of rules: 1077
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1188]
% 56.24/56.45  multiplication(multiplication(A,star(B)),multiplication(B,star(B))) <->
% 56.24/56.45  multiplication(A,multiplication(multiplication(B,star(B)),star(B)))
% 56.24/56.45  Current number of equations to process: 4456
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1078
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1189]
% 56.24/56.45  multiplication(multiplication(A,star(A)),multiplication(star(A),B)) <->
% 56.24/56.45  multiplication(multiplication(star(A),multiplication(A,star(A))),B)
% 56.24/56.45  Current number of equations to process: 4451
% 56.24/56.45  Current number of ordered equations: 1
% 56.24/56.45  Current number of rules: 1079
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1190]
% 56.24/56.45  multiplication(multiplication(star(A),multiplication(A,star(A))),B) <->
% 56.24/56.45  multiplication(multiplication(A,star(A)),multiplication(star(A),B))
% 56.24/56.45  Current number of equations to process: 4451
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1080
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1191]
% 56.24/56.45  multiplication(A,multiplication(star(B),multiplication(B,star(B)))) <->
% 56.24/56.45  multiplication(multiplication(A,B),multiplication(star(B),star(B)))
% 56.24/56.45  Current number of equations to process: 4450
% 56.24/56.45  Current number of ordered equations: 1
% 56.24/56.45  Current number of rules: 1081
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1192]
% 56.24/56.45  multiplication(multiplication(A,B),multiplication(star(B),star(B))) <->
% 56.24/56.45  multiplication(A,multiplication(star(B),multiplication(B,star(B))))
% 56.24/56.45  Current number of equations to process: 4450
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1082
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1193]
% 56.24/56.45  multiplication(star(A),star(star(multiplication(star(A),A)))) ->
% 56.24/56.45  star(star(multiplication(star(A),A))) addition star(A)
% 56.24/56.45  Current number of equations to process: 4447
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1083
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1194]
% 56.24/56.45  multiplication(multiplication(A,star(B)),star(multiplication(star(B),B))) ->
% 56.24/56.45  multiplication(A,star(multiplication(star(B),B)))
% 56.24/56.45  Current number of equations to process: 4446
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1084
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1195]
% 56.24/56.45  multiplication(star(A),strong_iteration(star(multiplication(star(A),A)))) ->
% 56.24/56.45  strong_iteration(star(multiplication(star(A),A))) addition star(A)
% 56.24/56.45  Current number of equations to process: 4445
% 56.24/56.45  Current number of ordered equations: 0
% 56.24/56.45  Current number of rules: 1085
% 56.24/56.45  New rule produced :
% 56.24/56.45  [1196]
% 56.24/56.45  multiplication(star(A),star(strong_iteration(multiplication(star(A),A)))) ->
% 56.24/56.45  star(strong_iteration(multiplication(star(A),A))) addition star(A)
% 58.23/58.40  Current number of equations to process: 4444
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1086
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1197]
% 58.23/58.40  multiplication(star(A),multiplication(strong_iteration(multiplication(
% 58.23/58.40                                                         star(A),A)),B)) ->
% 58.23/58.40  multiplication(strong_iteration(multiplication(star(A),A)),B)
% 58.23/58.40  Current number of equations to process: 4443
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1087
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1198]
% 58.23/58.40  multiplication(multiplication(A,star(B)),strong_iteration(multiplication(
% 58.23/58.40                                                            star(B),B))) ->
% 58.23/58.40  multiplication(A,strong_iteration(multiplication(star(B),B)))
% 58.23/58.40  Current number of equations to process: 4442
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1088
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1199]
% 58.23/58.40  multiplication(star(A),strong_iteration(strong_iteration(multiplication(
% 58.23/58.40                                                           star(A),A)))) ->
% 58.23/58.40  strong_iteration(strong_iteration(multiplication(star(A),A))) addition 
% 58.23/58.40  star(A)
% 58.23/58.40  Current number of equations to process: 4439
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1089
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1200]
% 58.23/58.40  leq(multiplication(A,star(multiplication(A,star(A)))),star(multiplication(A,
% 58.23/58.40                                                             star(A)))) -> true
% 58.23/58.40  Current number of equations to process: 4558
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1090
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1201]
% 58.23/58.40  leq(multiplication(A,strong_iteration(multiplication(A,star(A)))),strong_iteration(
% 58.23/58.40                                                                    multiplication(A,
% 58.23/58.40                                                                    star(A))))
% 58.23/58.40  -> true
% 58.23/58.40  Current number of equations to process: 4557
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1091
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1202]
% 58.23/58.40  leq(multiplication(A,star(multiplication(star(A),A))),star(multiplication(
% 58.23/58.40                                                             star(A),A))) ->
% 58.23/58.40  true
% 58.23/58.40  Current number of equations to process: 4556
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1092
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1203]
% 58.23/58.40  leq(multiplication(A,strong_iteration(multiplication(star(A),A))),strong_iteration(
% 58.23/58.40                                                                    multiplication(
% 58.23/58.40                                                                    star(A),A)))
% 58.23/58.40  -> true
% 58.23/58.40  Current number of equations to process: 4555
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1093
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1204]
% 58.23/58.40  leq(A addition B,multiplication(multiplication(star(C),A),star(V_3)) addition B)
% 58.23/58.40  -> true
% 58.23/58.40  Current number of equations to process: 4554
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1094
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1205]
% 58.23/58.40  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(
% 58.23/58.40                                                                  star(V_3),A))
% 58.23/58.40  -> true
% 58.23/58.40  Current number of equations to process: 4552
% 58.23/58.40  Current number of ordered equations: 1
% 58.23/58.40  Current number of rules: 1095
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1206]
% 58.23/58.40  leq(A addition B,multiplication(strong_iteration(C),multiplication(star(V_3),A)) addition B)
% 58.23/58.40  -> true
% 58.23/58.40  Current number of equations to process: 4552
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1096
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1207]
% 58.23/58.40  strong_iteration(A) addition multiplication(star(B),multiplication(B,star(A)))
% 58.23/58.40  -> strong_iteration(A) addition multiplication(star(B),star(A))
% 58.23/58.40  Current number of equations to process: 4550
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1097
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1208]
% 58.23/58.40  multiplication(star(A),multiplication(A,multiplication(B,zero))) addition B
% 58.23/58.40  -> multiplication(star(A),multiplication(B,zero)) addition B
% 58.23/58.40  Current number of equations to process: 4549
% 58.23/58.40  Current number of ordered equations: 0
% 58.23/58.40  Current number of rules: 1098
% 58.23/58.40  New rule produced :
% 58.23/58.40  [1209]
% 58.23/58.40  leq(multiplication(star(A),zero) addition B,multiplication(star(A),B) addition C)
% 58.23/58.40  -> true
% 58.23/58.40  Current number of equations to process: 4661
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1099
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1210]
% 60.54/60.78  leq(A addition B,multiplication(multiplication(star(C),A),strong_iteration(V_3)) addition B)
% 60.54/60.78  -> true
% 60.54/60.78  Current number of equations to process: 4660
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1100
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1211]
% 60.54/60.78  leq(A addition B,multiplication(star(C),B) addition multiplication(star(V_3),A))
% 60.54/60.78  -> true
% 60.54/60.78  Rule
% 60.54/60.78  [1176]
% 60.54/60.78  leq(A addition B,multiplication(star(C),A) addition multiplication(star(C),B))
% 60.54/60.78  -> true collapsed.
% 60.54/60.78  Current number of equations to process: 4658
% 60.54/60.78  Current number of ordered equations: 1
% 60.54/60.78  Current number of rules: 1100
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1212]
% 60.54/60.78  leq(A addition B,multiplication(star(C),multiplication(star(V_3),A)) addition B)
% 60.54/60.78  -> true
% 60.54/60.78  Current number of equations to process: 4658
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1101
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1213]
% 60.54/60.78  leq(multiplication(A,zero) addition B,multiplication(star(C),B) addition A)
% 60.54/60.78  -> true
% 60.54/60.78  Current number of equations to process: 4720
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1102
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1214]
% 60.54/60.78  leq(multiplication(A,B) addition C,multiplication(star(A),B) addition C) ->
% 60.54/60.78  true
% 60.54/60.78  Current number of equations to process: 4848
% 60.54/60.78  Current number of ordered equations: 1
% 60.54/60.78  Current number of rules: 1103
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1215]
% 60.54/60.78  leq(multiplication(A,B) addition B,multiplication(star(A),B) addition C) ->
% 60.54/60.78  true
% 60.54/60.78  Current number of equations to process: 4848
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1104
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1216]
% 60.54/60.78  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 60.54/60.78  <-> multiplication(star(A),multiplication(B,C))
% 60.54/60.78  Current number of equations to process: 4847
% 60.54/60.78  Current number of ordered equations: 1
% 60.54/60.78  Current number of rules: 1105
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1217]
% 60.54/60.78  multiplication(star(A),multiplication(B,C)) <->
% 60.54/60.78  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 60.54/60.78  Current number of equations to process: 4847
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1106
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1218]
% 60.54/60.78  leq(multiplication(A,zero) addition B,star(A) addition multiplication(
% 60.54/60.78                                                         star(C),B)) -> true
% 60.54/60.78  Current number of equations to process: 4846
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1107
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1219]
% 60.54/60.78  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(
% 60.54/60.78                                                                     star(C),B))
% 60.54/60.78  -> true
% 60.54/60.78  Current number of equations to process: 4845
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1108
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1220]
% 60.54/60.78  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 60.54/60.78                                                           star(V_3),A),
% 60.54/60.78                                            multiplication(B,C))) -> true
% 60.54/60.78  Current number of equations to process: 4844
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1109
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1221]
% 60.54/60.78  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 60.54/60.78                                                           multiplication(
% 60.54/60.78                                                           star(V_3),A),B),C))
% 60.54/60.78  -> true
% 60.54/60.78  Current number of equations to process: 4843
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1110
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1222]
% 60.54/60.78  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 60.54/60.78                                                           star(V_3),multiplication(A,B)),C))
% 60.54/60.78  -> true
% 60.54/60.78  Current number of equations to process: 4842
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1111
% 60.54/60.78  New rule produced :
% 60.54/60.78  [1223]
% 60.54/60.78  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 60.54/60.78                                                           multiplication(
% 60.54/60.78                                                           star(V_3),A),B),C))
% 60.54/60.78  -> true
% 60.54/60.78  Current number of equations to process: 4841
% 60.54/60.78  Current number of ordered equations: 0
% 60.54/60.78  Current number of rules: 1112
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1224]
% 60.83/61.06  leq(star(A) addition star(B),strong_iteration(A) addition multiplication(
% 60.83/61.06                                                            star(C),strong_iteration(B)))
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4839
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1113
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1225]
% 60.83/61.06  leq(multiplication(A,B) addition C,multiplication(multiplication(star(V_3),A),B) addition C)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4838
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1114
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1226]
% 60.83/61.06  leq(strong_iteration(A) addition multiplication(star(B),star(A)),multiplication(
% 60.83/61.06                                                                   star(B),
% 60.83/61.06                                                                   strong_iteration(A)))
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4837
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1115
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1227]
% 60.83/61.06  leq(multiplication(A,B) addition B addition C,multiplication(star(A),B) addition C)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4835
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1116
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1228]
% 60.83/61.06  ifeq(leq(multiplication(multiplication(A,star(A)),star(A)),star(A)),true,true,true)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4833
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1117
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1229]
% 60.83/61.06  ifeq(leq(star(A),zero),true,leq(star(multiplication(star(A),A)),zero),true)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4832
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1118
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1230]
% 60.83/61.06  leq(multiplication(star(A),zero) addition B,star(multiplication(star(A),A)) addition B)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4831
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1119
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1231]
% 60.83/61.06  leq(star(A) addition B,star(multiplication(star(A),A)) addition B addition C)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4830
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1120
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1232]
% 60.83/61.06  leq(multiplication(star(A),zero) addition B,strong_iteration(multiplication(
% 60.83/61.06                                                               star(A),A)) addition B)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4829
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1121
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1233]
% 60.83/61.06  leq(star(A) addition B,strong_iteration(multiplication(star(A),A)) addition B addition C)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4828
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1122
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1234]
% 60.83/61.06  leq(star(A),one addition multiplication(star(B),multiplication(A,star(A))) addition C)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4826
% 60.83/61.06  Current number of ordered equations: 1
% 60.83/61.06  Current number of rules: 1123
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1235]
% 60.83/61.06  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(
% 60.83/61.06                                                            star(C),B)) -> true
% 60.83/61.06  Current number of equations to process: 4826
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1124
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1236]
% 60.83/61.06  leq(star(A),one addition multiplication(star(B),multiplication(star(A),A)) addition C)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4824
% 60.83/61.06  Current number of ordered equations: 1
% 60.83/61.06  Current number of rules: 1125
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1237]
% 60.83/61.06  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(
% 60.83/61.06                                                            star(C),B)) -> true
% 60.83/61.06  Current number of equations to process: 4824
% 60.83/61.06  Current number of ordered equations: 0
% 60.83/61.06  Current number of rules: 1126
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1238]
% 60.83/61.06  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(A,
% 60.83/61.06                                                              strong_iteration(A))) addition C)
% 60.83/61.06  -> true
% 60.83/61.06  Current number of equations to process: 4822
% 60.83/61.06  Current number of ordered equations: 1
% 60.83/61.06  Current number of rules: 1127
% 60.83/61.06  New rule produced :
% 60.83/61.06  [1239]
% 60.83/61.06  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 62.73/62.92                                                       multiplication(star(C),B))
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4822
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1128
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1240]
% 62.73/62.92  leq(multiplication(A,zero) addition B,multiplication(star(C),B) addition 
% 62.73/62.92                                        multiplication(A,V_3)) -> true
% 62.73/62.92  Current number of equations to process: 4821
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1129
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1241]
% 62.73/62.92  leq(multiplication(A,star(A)) addition B,multiplication(star(C),star(A)) addition B)
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4820
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1130
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1242]
% 62.73/62.92  leq(multiplication(star(A),A) addition B,multiplication(star(C),star(A)) addition B)
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4819
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1131
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1243]
% 62.73/62.92  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(star(C),
% 62.73/62.92                                                       strong_iteration(A)) addition B)
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4818
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1132
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1244]
% 62.73/62.92  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 62.73/62.92                                                          star(C),strong_iteration(A)) addition B)
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4817
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1133
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1245]
% 62.73/62.92  leq(multiplication(A,zero) addition B,multiplication(star(C),B) addition A addition V_3)
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4816
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1134
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1246]
% 62.73/62.92  leq(one addition A,multiplication(star(B),star(C)) addition multiplication(
% 62.73/62.92                                                              star(V_3),A)) ->
% 62.73/62.92  true
% 62.73/62.92  Current number of equations to process: 4814
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1135
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1247]
% 62.73/62.92  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 62.73/62.92                     multiplication(star(V_3),A)) -> true
% 62.73/62.92  Current number of equations to process: 4813
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1136
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1248]
% 62.73/62.92  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition 
% 62.73/62.92                     multiplication(star(V_3),A)) -> true
% 62.73/62.92  Current number of equations to process: 4810
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1137
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1249]
% 62.73/62.92  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 62.73/62.92                     multiplication(star(V_3),A)) -> true
% 62.73/62.92  Current number of equations to process: 4809
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1138
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1250]
% 62.73/62.92  leq(strong_iteration(A) addition B,star(multiplication(A,strong_iteration(A))) addition B addition C)
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4808
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1139
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1251]
% 62.73/62.92  leq(multiplication(A,B) addition C,multiplication(star(A),B) addition C addition V_3)
% 62.73/62.92  -> true
% 62.73/62.92  Current number of equations to process: 4807
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1140
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1252]
% 62.73/62.92  leq(multiplication(star(one),multiplication(A,zero)),multiplication(star(B),
% 62.73/62.92                                                       multiplication(A,C))) ->
% 62.73/62.92  true
% 62.73/62.92  Current number of equations to process: 4853
% 62.73/62.92  Current number of ordered equations: 0
% 62.73/62.92  Current number of rules: 1141
% 62.73/62.92  New rule produced :
% 62.73/62.92  [1253]
% 62.73/62.92  multiplication(A,multiplication(strong_iteration(A),zero)) ->
% 62.73/62.92  multiplication(strong_iteration(A),zero)
% 62.73/62.92  Rule
% 62.73/62.92  [337]
% 62.73/62.92  star(A) addition multiplication(A,multiplication(strong_iteration(A),zero))
% 62.73/62.92  -> strong_iteration(A) collapsed.
% 62.73/62.92  Current number of equations to process: 4915
% 62.73/62.92  Current number of ordered equations: 0
% 66.23/66.50  Current number of rules: 1141
% 66.23/66.50  New rule produced :
% 66.23/66.50  [1254]
% 66.23/66.50  multiplication(multiplication(A,B),multiplication(strong_iteration(B),zero))
% 66.23/66.50  -> multiplication(A,multiplication(strong_iteration(B),zero))
% 66.23/66.50  Current number of equations to process: 4916
% 66.23/66.50  Current number of ordered equations: 0
% 66.23/66.50  Current number of rules: 1142
% 66.23/66.50  New rule produced :
% 66.23/66.50  [1255]
% 66.23/66.50  multiplication(strong_iteration(A),zero) addition multiplication(A,strong_iteration(A))
% 66.23/66.50  -> multiplication(A,strong_iteration(A))
% 66.23/66.50  Rule
% 66.23/66.50  [757]
% 66.23/66.50  leq(multiplication(strong_iteration(A),zero) addition multiplication(A,
% 66.23/66.50                                                        strong_iteration(A)),
% 66.23/66.50  strong_iteration(A)) -> true collapsed.
% 66.23/66.50  Current number of equations to process: 4990
% 66.23/66.50  Current number of ordered equations: 0
% 66.23/66.50  Current number of rules: 1142
% 66.23/66.50  New rule produced :
% 66.23/66.50  [1256]
% 66.23/66.50  leq(multiplication(strong_iteration(A),zero),multiplication(multiplication(A,
% 66.23/66.50                                                              strong_iteration(A)),B))
% 66.23/66.50  -> true
% 66.23/66.50  Current number of equations to process: 4989
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1143
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1257]
% 66.33/66.50  star(multiplication(A,strong_iteration(A))) addition multiplication(strong_iteration(A),zero)
% 66.33/66.50  -> star(multiplication(A,strong_iteration(A)))
% 66.33/66.50  Current number of equations to process: 4988
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1144
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1258]
% 66.33/66.50  strong_iteration(multiplication(A,strong_iteration(A))) addition multiplication(
% 66.33/66.50                                                                   strong_iteration(A),zero)
% 66.33/66.50  -> strong_iteration(multiplication(A,strong_iteration(A)))
% 66.33/66.50  Current number of equations to process: 4987
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1145
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1259]
% 66.33/66.50  multiplication(strong_iteration(A),B) addition multiplication(A,multiplication(
% 66.33/66.50                                                                  strong_iteration(A),B))
% 66.33/66.50  -> multiplication(strong_iteration(A),B)
% 66.33/66.50  Current number of equations to process: 4986
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1146
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1260]
% 66.33/66.50  leq(multiplication(A,multiplication(strong_iteration(A),B)),multiplication(
% 66.33/66.50                                                              strong_iteration(A),B))
% 66.33/66.50  -> true
% 66.33/66.50  Current number of equations to process: 3078
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1147
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1261]
% 66.33/66.50  multiplication(star(A),multiplication(strong_iteration(star(A)),B)) ->
% 66.33/66.50  multiplication(strong_iteration(star(A)),B)
% 66.33/66.50  Current number of equations to process: 3144
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1148
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1262]
% 66.33/66.50  multiplication(strong_iteration(A),multiplication(strong_iteration(strong_iteration(A)),B))
% 66.33/66.50  -> multiplication(strong_iteration(strong_iteration(A)),B)
% 66.33/66.50  Current number of equations to process: 3143
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1149
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1263]
% 66.33/66.50  leq(multiplication(A,zero),multiplication(strong_iteration(A),B) addition C)
% 66.33/66.50  -> true
% 66.33/66.50  Current number of equations to process: 3199
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1150
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1264]
% 66.33/66.50  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),B))
% 66.33/66.50  -> true
% 66.33/66.50  Current number of equations to process: 3212
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1151
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1265]
% 66.33/66.50  multiplication(strong_iteration(multiplication(A,B)),C) addition multiplication(A,zero)
% 66.33/66.50  -> multiplication(strong_iteration(multiplication(A,B)),C)
% 66.33/66.50  Current number of equations to process: 3325
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1152
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1266]
% 66.33/66.50  one addition multiplication(star(A),multiplication(star(A),A)) ->
% 66.33/66.50  multiplication(star(A),star(A))
% 66.33/66.50  Current number of equations to process: 3356
% 66.33/66.50  Current number of ordered equations: 0
% 66.33/66.50  Current number of rules: 1153
% 66.33/66.50  New rule produced :
% 66.33/66.50  [1267]
% 66.33/66.50  multiplication(star(A),multiplication(A,strong_iteration(A))) <->
% 66.33/66.50  multiplication(star(A),multiplication(strong_iteration(A),A))
% 66.94/67.12  Current number of equations to process: 3377
% 66.94/67.12  Current number of ordered equations: 1
% 66.94/67.12  Current number of rules: 1154
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1268]
% 66.94/67.12  multiplication(star(A),multiplication(strong_iteration(A),A)) <->
% 66.94/67.12  multiplication(star(A),multiplication(A,strong_iteration(A)))
% 66.94/67.12  Current number of equations to process: 3377
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1155
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1269] leq(star(multiplication(star(A),A)),star(A)) -> true
% 66.94/67.12  Rule
% 66.94/67.12  [1165]
% 66.94/67.12  ifeq(leq(star(multiplication(star(A),A)),star(A)),true,true,true) -> true
% 66.94/67.12  collapsed.
% 66.94/67.12  Current number of equations to process: 3378
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1155
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1270]
% 66.94/67.12  leq(star(multiplication(A,strong_iteration(A))),multiplication(strong_iteration(
% 66.94/67.12                                                                 strong_iteration(A)),B))
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3402
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1156
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1271]
% 66.94/67.12  leq(multiplication(star(strong_iteration(A)),zero),star(multiplication(A,
% 66.94/67.12                                                          strong_iteration(A))))
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3404
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1157
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1272]
% 66.94/67.12  leq(multiplication(strong_iteration(A),zero),star(multiplication(A,strong_iteration(A))))
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3407
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1158
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1273]
% 66.94/67.12  ifeq(leq(star(multiplication(A,strong_iteration(A))),strong_iteration(A)),true,true,true)
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3418
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1159
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1274]
% 66.94/67.12  leq(multiplication(strong_iteration(A),zero),star(multiplication(A,strong_iteration(A))) addition B)
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3417
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1160
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1275]
% 66.94/67.12  leq(strong_iteration(multiplication(A,strong_iteration(A))),multiplication(
% 66.94/67.12                                                              strong_iteration(
% 66.94/67.12                                                              strong_iteration(A)),B))
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3431
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1161
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1276]
% 66.94/67.12  leq(multiplication(star(strong_iteration(A)),zero),strong_iteration(multiplication(A,
% 66.94/67.12                                                                      strong_iteration(A))))
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3431
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1162
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1277]
% 66.94/67.12  strong_iteration(multiplication(A,strong_iteration(A))) addition strong_iteration(A)
% 66.94/67.12  -> strong_iteration(multiplication(A,strong_iteration(A)))
% 66.94/67.12  Current number of equations to process: 3433
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1163
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1278]
% 66.94/67.12  leq(multiplication(strong_iteration(A),zero),strong_iteration(multiplication(A,
% 66.94/67.12                                                                strong_iteration(A))))
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3436
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1164
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1279]
% 66.94/67.12  strong_iteration(multiplication(A,strong_iteration(A))) addition star(A) ->
% 66.94/67.12  strong_iteration(multiplication(A,strong_iteration(A)))
% 66.94/67.12  Current number of equations to process: 3435
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1165
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1280]
% 66.94/67.12  leq(strong_iteration(A),strong_iteration(multiplication(A,strong_iteration(A))))
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3441
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1166
% 66.94/67.12  New rule produced :
% 66.94/67.12  [1281]
% 66.94/67.12  leq(strong_iteration(A),strong_iteration(multiplication(A,strong_iteration(A))) addition B)
% 66.94/67.12  -> true
% 66.94/67.12  Current number of equations to process: 3442
% 66.94/67.12  Current number of ordered equations: 0
% 66.94/67.12  Current number of rules: 1167
% 66.94/67.12  New rule produced :
% 67.24/67.46  [1282]
% 67.24/67.46  ifeq(leq(strong_iteration(multiplication(A,strong_iteration(A))),strong_iteration(A)),true,true,true)
% 67.24/67.46  -> true
% 67.24/67.46  Current number of equations to process: 3448
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1168
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1283]
% 67.24/67.46  leq(multiplication(strong_iteration(A),zero),strong_iteration(multiplication(A,
% 67.24/67.46                                                                strong_iteration(A))) addition B)
% 67.24/67.46  -> true
% 67.24/67.46  Current number of equations to process: 3447
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1169
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1284]
% 67.24/67.46  leq(strong_iteration(A) addition B,strong_iteration(multiplication(A,
% 67.24/67.46                                                      strong_iteration(A))) addition B)
% 67.24/67.46  -> true
% 67.24/67.46  Current number of equations to process: 3446
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1170
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1285]
% 67.24/67.46  ifeq(leq(multiplication(strong_iteration(A),zero),multiplication(A,strong_iteration(A))),true,true,true)
% 67.24/67.46  -> true
% 67.24/67.46  Current number of equations to process: 3445
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1171
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1286]
% 67.24/67.46  leq(multiplication(strong_iteration(A),zero),multiplication(multiplication(A,
% 67.24/67.46                                                              strong_iteration(A)),B) addition C)
% 67.24/67.46  -> true
% 67.24/67.46  Current number of equations to process: 3444
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1172
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1287]
% 67.24/67.46  multiplication(strong_iteration(A),multiplication(strong_iteration(multiplication(A,
% 67.24/67.46                                                                     strong_iteration(A))),B))
% 67.24/67.46  -> multiplication(strong_iteration(multiplication(A,strong_iteration(A))),B)
% 67.24/67.46  Current number of equations to process: 3443
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1173
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1288]
% 67.24/67.46  leq(multiplication(A,multiplication(strong_iteration(A),B)),multiplication(
% 67.24/67.46                                                              strong_iteration(A),B) addition C)
% 67.24/67.46  -> true
% 67.24/67.46  Current number of equations to process: 3442
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1174
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1289]
% 67.24/67.46  multiplication(multiplication(multiplication(star(A),A),star(A)),B) <->
% 67.24/67.46  multiplication(multiplication(star(A),star(A)),multiplication(A,B))
% 67.24/67.46  Current number of equations to process: 3439
% 67.24/67.46  Current number of ordered equations: 1
% 67.24/67.46  Current number of rules: 1175
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1290]
% 67.24/67.46  multiplication(multiplication(star(A),star(A)),multiplication(A,B)) <->
% 67.24/67.46  multiplication(multiplication(multiplication(star(A),A),star(A)),B)
% 67.24/67.46  Current number of equations to process: 3439
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1176
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1291]
% 67.24/67.46  multiplication(A,multiplication(multiplication(star(B),B),star(B))) <->
% 67.24/67.46  multiplication(multiplication(A,star(B)),multiplication(star(B),B))
% 67.24/67.46  Current number of equations to process: 3438
% 67.24/67.46  Current number of ordered equations: 1
% 67.24/67.46  Current number of rules: 1177
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1292]
% 67.24/67.46  multiplication(multiplication(A,star(B)),multiplication(star(B),B)) <->
% 67.24/67.46  multiplication(A,multiplication(multiplication(star(B),B),star(B)))
% 67.24/67.46  Current number of equations to process: 3438
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1178
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1293]
% 67.24/67.46  multiplication(multiplication(star(A),A),multiplication(star(A),B)) <->
% 67.24/67.46  multiplication(multiplication(star(A),multiplication(star(A),A)),B)
% 67.24/67.46  Current number of equations to process: 3433
% 67.24/67.46  Current number of ordered equations: 1
% 67.24/67.46  Current number of rules: 1179
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1294]
% 67.24/67.46  multiplication(multiplication(star(A),multiplication(star(A),A)),B) <->
% 67.24/67.46  multiplication(multiplication(star(A),A),multiplication(star(A),B))
% 67.24/67.46  Current number of equations to process: 3433
% 67.24/67.46  Current number of ordered equations: 0
% 67.24/67.46  Current number of rules: 1180
% 67.24/67.46  New rule produced :
% 67.24/67.46  [1295]
% 67.24/67.46  multiplication(A,multiplication(star(B),multiplication(star(B),B))) <->
% 67.24/67.46  multiplication(multiplication(A,star(B)),multiplication(B,star(B)))
% 67.24/67.46  Current number of equations to process: 3432
% 67.24/67.46  Current number of ordered equations: 1
% 67.95/68.12  Current number of rules: 1181
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1296]
% 67.95/68.12  multiplication(multiplication(A,star(B)),multiplication(B,star(B))) <->
% 67.95/68.12  multiplication(A,multiplication(star(B),multiplication(star(B),B)))
% 67.95/68.12  Current number of equations to process: 3432
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1182
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1297]
% 67.95/68.12  multiplication(strong_iteration(A),star(star(multiplication(A,strong_iteration(A)))))
% 67.95/68.12  ->
% 67.95/68.12  strong_iteration(A) addition star(star(multiplication(A,strong_iteration(A))))
% 67.95/68.12  Current number of equations to process: 3428
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1183
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1298]
% 67.95/68.12  multiplication(multiplication(A,strong_iteration(B)),star(multiplication(B,
% 67.95/68.12                                                            strong_iteration(B))))
% 67.95/68.12  -> multiplication(A,star(multiplication(B,strong_iteration(B))))
% 67.95/68.12  Current number of equations to process: 3427
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1184
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1299]
% 67.95/68.12  multiplication(strong_iteration(A),strong_iteration(star(multiplication(A,
% 67.95/68.12                                                           strong_iteration(A)))))
% 67.95/68.12  ->
% 67.95/68.12  strong_iteration(star(multiplication(A,strong_iteration(A)))) addition 
% 67.95/68.12  strong_iteration(A)
% 67.95/68.12  Current number of equations to process: 3426
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1185
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1300]
% 67.95/68.12  multiplication(strong_iteration(A),star(strong_iteration(multiplication(A,
% 67.95/68.12                                                           strong_iteration(A)))))
% 67.95/68.12  ->
% 67.95/68.12  strong_iteration(A) addition star(strong_iteration(multiplication(A,strong_iteration(A))))
% 67.95/68.12  Current number of equations to process: 3425
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1186
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1301]
% 67.95/68.12  multiplication(multiplication(A,strong_iteration(B)),strong_iteration(
% 67.95/68.12                                                       multiplication(B,
% 67.95/68.12                                                       strong_iteration(B))))
% 67.95/68.12  -> multiplication(A,strong_iteration(multiplication(B,strong_iteration(B))))
% 67.95/68.12  Current number of equations to process: 3423
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1187
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1302]
% 67.95/68.12  multiplication(strong_iteration(A),strong_iteration(strong_iteration(
% 67.95/68.12                                                      multiplication(A,
% 67.95/68.12                                                      strong_iteration(A)))))
% 67.95/68.12  ->
% 67.95/68.12  strong_iteration(strong_iteration(multiplication(A,strong_iteration(A)))) addition 
% 67.95/68.12  strong_iteration(A)
% 67.95/68.12  Current number of equations to process: 3419
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1188
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1303]
% 67.95/68.12  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(A,
% 67.95/68.12                                                                   strong_iteration(A)),B)
% 67.95/68.12  -> multiplication(multiplication(A,strong_iteration(A)),B)
% 67.95/68.12  Current number of equations to process: 3468
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1189
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1304]
% 67.95/68.12  multiplication(multiplication(A,multiplication(B,C)),multiplication(strong_iteration(C),zero))
% 67.95/68.12  ->
% 67.95/68.12  multiplication(multiplication(A,B),multiplication(strong_iteration(C),zero))
% 67.95/68.12  Current number of equations to process: 3467
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1190
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1305]
% 67.95/68.12  strong_iteration(A) addition multiplication(B,multiplication(strong_iteration(B),
% 67.95/68.12                                                star(A))) ->
% 67.95/68.12  strong_iteration(A) addition multiplication(strong_iteration(B),star(A))
% 67.95/68.12  Current number of equations to process: 3464
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1191
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1306]
% 67.95/68.12  multiplication(A,multiplication(strong_iteration(A),multiplication(B,zero))) addition B
% 67.95/68.12  -> multiplication(strong_iteration(A),multiplication(B,zero)) addition B
% 67.95/68.12  Current number of equations to process: 3463
% 67.95/68.12  Current number of ordered equations: 0
% 67.95/68.12  Current number of rules: 1192
% 67.95/68.12  New rule produced :
% 67.95/68.12  [1307]
% 67.95/68.12  leq(multiplication(A,zero) addition B,multiplication(star(C),multiplication(A,V_3)) addition B)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3462
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1193
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1308]
% 69.92/70.15  leq(multiplication(A,zero) addition B addition C,multiplication(strong_iteration(A),B) addition C)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3461
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1194
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1309]
% 69.92/70.15  ifeq(leq(strong_iteration(A),zero),true,leq(star(multiplication(A,strong_iteration(A))),zero),true)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3459
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1195
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1310]
% 69.92/70.15  leq(multiplication(strong_iteration(A),zero) addition B,star(multiplication(A,
% 69.92/70.15                                                               strong_iteration(A))) addition B)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3458
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1196
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1311]
% 69.92/70.15  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(
% 69.92/70.15                                                          multiplication(A,
% 69.92/70.15                                                          strong_iteration(A))) addition B)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3457
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1197
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1312]
% 69.92/70.15  leq(strong_iteration(A) addition B,strong_iteration(multiplication(A,
% 69.92/70.15                                                      strong_iteration(A))) addition B addition C)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3456
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1198
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1313]
% 69.92/70.15  leq(A,multiplication(strong_iteration(multiplication(B,strong_iteration(B))),
% 69.92/70.15        multiplication(strong_iteration(B),A))) -> true
% 69.92/70.15  Current number of equations to process: 3512
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1199
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1314]
% 69.92/70.15  multiplication(strong_iteration(A),multiplication(star(strong_iteration(A)),B))
% 69.92/70.15  -> multiplication(star(strong_iteration(A)),B)
% 69.92/70.15  Current number of equations to process: 3586
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1200
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1315]
% 69.92/70.15  leq(A,multiplication(multiplication(strong_iteration(B),A),star(C))) -> true
% 69.92/70.15  Current number of equations to process: 3616
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1201
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1316]
% 69.92/70.15  leq(A,multiplication(strong_iteration(B),multiplication(strong_iteration(C),A)))
% 69.92/70.15  -> true
% 69.92/70.15  Rule
% 69.92/70.15  [1313]
% 69.92/70.15  leq(A,multiplication(strong_iteration(multiplication(B,strong_iteration(B))),
% 69.92/70.15        multiplication(strong_iteration(B),A))) -> true collapsed.
% 69.92/70.15  Current number of equations to process: 3615
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1201
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1317]
% 69.92/70.15  leq(A,multiplication(multiplication(strong_iteration(B),A),star(C)) addition V_3)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3614
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1202
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1318]
% 69.92/70.15  leq(A,multiplication(strong_iteration(B),multiplication(strong_iteration(C),A)) addition V_3)
% 69.92/70.15  -> true
% 69.92/70.15  Current number of equations to process: 3613
% 69.92/70.15  Current number of ordered equations: 0
% 69.92/70.15  Current number of rules: 1203
% 69.92/70.15  New rule produced :
% 69.92/70.15  [1319] leq(A,multiplication(strong_iteration(strong_iteration(B)),C)) -> true
% 69.92/70.15  Rule
% 69.92/70.15  [566]
% 69.92/70.15  leq(one,multiplication(strong_iteration(strong_iteration(A)),B)) -> true
% 69.92/70.15  collapsed.
% 69.92/70.15  Rule
% 69.92/70.15  [676]
% 69.92/70.15  leq(A,multiplication(strong_iteration(strong_iteration(B)),zero)) -> true
% 69.92/70.15  collapsed.
% 69.92/70.15  Rule
% 69.92/70.15  [769]
% 69.92/70.15  leq(A,multiplication(strong_iteration(strong_iteration(B)),star(B))) -> true
% 69.92/70.15  collapsed.
% 69.92/70.15  Rule
% 69.92/70.15  [981]
% 69.92/70.15  leq(strong_iteration(A),multiplication(strong_iteration(strong_iteration(A)),B))
% 69.92/70.15  -> true collapsed.
% 69.92/70.15  Rule
% 69.92/70.15  [1270]
% 69.92/70.15  leq(star(multiplication(A,strong_iteration(A))),multiplication(strong_iteration(
% 69.92/70.15                                                                 strong_iteration(A)),B))
% 69.92/70.15  -> true collapsed.
% 69.92/70.15  Rule
% 69.92/70.15  [1275]
% 69.92/70.15  leq(strong_iteration(multiplication(A,strong_iteration(A))),multiplication(
% 69.92/70.15                                                              strong_iteration(
% 72.22/72.40                                                              strong_iteration(A)),B))
% 72.22/72.40  -> true collapsed.
% 72.22/72.40  Current number of equations to process: 3613
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1198
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1320]
% 72.22/72.40  leq(A,multiplication(multiplication(strong_iteration(B),A),strong_iteration(C)))
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3620
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1199
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1321]
% 72.22/72.40  leq(A,multiplication(star(B),multiplication(strong_iteration(C),A))) -> true
% 72.22/72.40  Current number of equations to process: 3619
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1200
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1322]
% 72.22/72.40  leq(A,multiplication(multiplication(strong_iteration(B),A),strong_iteration(C)) addition V_3)
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3618
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1201
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1323]
% 72.22/72.40  leq(A,multiplication(star(B),multiplication(strong_iteration(C),A)) addition V_3)
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3617
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1202
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1324] leq(A,strong_iteration(strong_iteration(B))) -> true
% 72.22/72.40  Rule [882] leq(star(A),strong_iteration(strong_iteration(B))) -> true
% 72.22/72.40  collapsed.
% 72.22/72.40  Rule
% 72.22/72.40  [995] leq(strong_iteration(A),strong_iteration(strong_iteration(B))) -> true
% 72.22/72.40  collapsed.
% 72.22/72.40  Current number of equations to process: 3617
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1201
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1325]
% 72.22/72.40  leq(multiplication(A,B),multiplication(multiplication(strong_iteration(C),A),B) addition V_3)
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3642
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1202
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1326]
% 72.22/72.40  leq(multiplication(star(one),star(A)),multiplication(strong_iteration(B),
% 72.22/72.40                                        strong_iteration(A))) -> true
% 72.22/72.40  Current number of equations to process: 3677
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1203
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1327]
% 72.22/72.40  leq(multiplication(star(A),star(one)),multiplication(strong_iteration(B),
% 72.22/72.40                                        strong_iteration(A))) -> true
% 72.22/72.40  Current number of equations to process: 3680
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1204
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1328]
% 72.22/72.40  leq(multiplication(star(A),A),multiplication(strong_iteration(B),strong_iteration(A)))
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3693
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1205
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1329]
% 72.22/72.40  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),strong_iteration(A)))
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3694
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1206
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1330]
% 72.22/72.40  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 72.22/72.40                                           strong_iteration(B))) -> true
% 72.22/72.40  Current number of equations to process: 3724
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1207
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1331]
% 72.22/72.40  leq(multiplication(star(A),A),multiplication(strong_iteration(B),strong_iteration(A)) addition C)
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3785
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1208
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1332]
% 72.22/72.40  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),strong_iteration(A)) addition C)
% 72.22/72.40  -> true
% 72.22/72.40  Current number of equations to process: 3784
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1209
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1333]
% 72.22/72.40  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 72.22/72.40                                                                   star(B),zero)
% 72.22/72.40  -> multiplication(strong_iteration(A),strong_iteration(B))
% 72.22/72.40  Current number of equations to process: 3783
% 72.22/72.40  Current number of ordered equations: 0
% 72.22/72.40  Current number of rules: 1210
% 72.22/72.40  New rule produced :
% 72.22/72.40  [1334]
% 72.22/72.40  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(A,
% 74.15/74.34                                                              star(A)))) ->
% 74.15/74.34  true
% 74.15/74.34  Current number of equations to process: 3782
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1211
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1335]
% 74.15/74.34  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(
% 74.15/74.34                                                              star(A),A))) ->
% 74.15/74.34  true
% 74.15/74.34  Current number of equations to process: 3781
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1212
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1336]
% 74.15/74.34  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 74.15/74.34                                       multiplication(A,strong_iteration(A))))
% 74.15/74.34  -> true
% 74.15/74.34  Current number of equations to process: 3780
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1213
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1337]
% 74.15/74.34  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)) <->
% 74.15/74.34  multiplication(multiplication(strong_iteration(A),A),strong_iteration(A))
% 74.15/74.34  Current number of equations to process: 3880
% 74.15/74.34  Current number of ordered equations: 1
% 74.15/74.34  Current number of rules: 1214
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1338]
% 74.15/74.34  multiplication(multiplication(strong_iteration(A),A),strong_iteration(A)) <->
% 74.15/74.34  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A))
% 74.15/74.34  Current number of equations to process: 3880
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1215
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1339]
% 74.15/74.34  strong_iteration(A) addition multiplication(A,star(multiplication(A,strong_iteration(A))))
% 74.15/74.34  -> star(multiplication(A,strong_iteration(A)))
% 74.15/74.34  Current number of equations to process: 3879
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1216
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1340]
% 74.15/74.34  one addition multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A))
% 74.15/74.34  -> multiplication(strong_iteration(A),strong_iteration(A))
% 74.15/74.34  Current number of equations to process: 3900
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1217
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1341]
% 74.15/74.34  star(A) addition multiplication(multiplication(A,strong_iteration(A)),
% 74.15/74.34                   strong_iteration(A)) ->
% 74.15/74.34  multiplication(strong_iteration(A),strong_iteration(A))
% 74.15/74.34  Current number of equations to process: 3916
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1218
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1342]
% 74.15/74.34  strong_iteration(A) addition multiplication(A,strong_iteration(multiplication(A,
% 74.15/74.34                                                                 strong_iteration(A))))
% 74.15/74.34  -> strong_iteration(multiplication(A,strong_iteration(A)))
% 74.15/74.34  Current number of equations to process: 3915
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1219
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1343]
% 74.15/74.34  leq(multiplication(star(one),star(A)),multiplication(strong_iteration(B),
% 74.15/74.34                                        strong_iteration(A)) addition C) ->
% 74.15/74.34  true
% 74.15/74.34  Current number of equations to process: 3941
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1220
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1344]
% 74.15/74.34  leq(multiplication(star(A),star(one)),multiplication(strong_iteration(B),
% 74.15/74.34                                        strong_iteration(A)) addition C) ->
% 74.15/74.34  true
% 74.15/74.34  Current number of equations to process: 3940
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1221
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1345]
% 74.15/74.34  leq(star(A) addition multiplication(strong_iteration(B),zero),multiplication(
% 74.15/74.34                                                                strong_iteration(B),
% 74.15/74.34                                                                strong_iteration(A)))
% 74.15/74.34  -> true
% 74.15/74.34  Current number of equations to process: 3939
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1222
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1346]
% 74.15/74.34  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 74.15/74.34                                           strong_iteration(B)) addition C) ->
% 74.15/74.34  true
% 74.15/74.34  Current number of equations to process: 3938
% 74.15/74.34  Current number of ordered equations: 0
% 74.15/74.34  Current number of rules: 1223
% 74.15/74.34  New rule produced :
% 74.15/74.34  [1347]
% 74.15/74.34  multiplication(multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)),B)
% 74.15/74.34  <->
% 74.15/74.34  multiplication(multiplication(strong_iteration(A),A),multiplication(strong_iteration(A),B))
% 75.33/75.58  Current number of equations to process: 3937
% 75.33/75.58  Current number of ordered equations: 1
% 75.33/75.58  Current number of rules: 1224
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1348]
% 75.33/75.58  multiplication(multiplication(strong_iteration(A),A),multiplication(strong_iteration(A),B))
% 75.33/75.58  <->
% 75.33/75.58  multiplication(multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)),B)
% 75.33/75.58  Current number of equations to process: 3937
% 75.33/75.58  Current number of ordered equations: 0
% 75.33/75.58  Current number of rules: 1225
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1349]
% 75.33/75.58  multiplication(A,multiplication(multiplication(B,strong_iteration(B)),
% 75.33/75.58                   strong_iteration(B))) <->
% 75.33/75.58  multiplication(multiplication(A,strong_iteration(B)),multiplication(B,
% 75.33/75.58                                                       strong_iteration(B)))
% 75.33/75.58  Current number of equations to process: 3936
% 75.33/75.58  Current number of ordered equations: 1
% 75.33/75.58  Current number of rules: 1226
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1350]
% 75.33/75.58  multiplication(multiplication(A,strong_iteration(B)),multiplication(B,
% 75.33/75.58                                                       strong_iteration(B)))
% 75.33/75.58  <->
% 75.33/75.58  multiplication(A,multiplication(multiplication(B,strong_iteration(B)),
% 75.33/75.58                   strong_iteration(B)))
% 75.33/75.58  Current number of equations to process: 3936
% 75.33/75.58  Current number of ordered equations: 0
% 75.33/75.58  Current number of rules: 1227
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1351]
% 75.33/75.58  multiplication(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),B))
% 75.33/75.58  <->
% 75.33/75.58  multiplication(multiplication(strong_iteration(A),multiplication(A,strong_iteration(A))),B)
% 75.33/75.58  Current number of equations to process: 3931
% 75.33/75.58  Current number of ordered equations: 1
% 75.33/75.58  Current number of rules: 1228
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1352]
% 75.33/75.58  multiplication(multiplication(strong_iteration(A),multiplication(A,strong_iteration(A))),B)
% 75.33/75.58  <->
% 75.33/75.58  multiplication(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),B))
% 75.33/75.58  Current number of equations to process: 3931
% 75.33/75.58  Current number of ordered equations: 0
% 75.33/75.58  Current number of rules: 1229
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1353]
% 75.33/75.58  multiplication(A,multiplication(strong_iteration(B),multiplication(B,
% 75.33/75.58                                                      strong_iteration(B))))
% 75.33/75.58  <->
% 75.33/75.58  multiplication(multiplication(A,B),multiplication(strong_iteration(B),
% 75.33/75.58                                     strong_iteration(B)))
% 75.33/75.58  Current number of equations to process: 3930
% 75.33/75.58  Current number of ordered equations: 1
% 75.33/75.58  Current number of rules: 1230
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1354]
% 75.33/75.58  multiplication(multiplication(A,B),multiplication(strong_iteration(B),
% 75.33/75.58                                     strong_iteration(B))) <->
% 75.33/75.58  multiplication(A,multiplication(strong_iteration(B),multiplication(B,
% 75.33/75.58                                                      strong_iteration(B))))
% 75.33/75.58  Current number of equations to process: 3930
% 75.33/75.58  Current number of ordered equations: 0
% 75.33/75.58  Current number of rules: 1231
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1355]
% 75.33/75.58  leq(multiplication(A,star(multiplication(A,strong_iteration(A)))),star(
% 75.33/75.58                                                                    multiplication(A,
% 75.33/75.58                                                                    strong_iteration(A))))
% 75.33/75.58  -> true
% 75.33/75.58  Current number of equations to process: 4044
% 75.33/75.58  Current number of ordered equations: 0
% 75.33/75.58  Current number of rules: 1232
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1356]
% 75.33/75.58  leq(multiplication(A,strong_iteration(multiplication(A,strong_iteration(A)))),
% 75.33/75.58  strong_iteration(multiplication(A,strong_iteration(A)))) -> true
% 75.33/75.58  Current number of equations to process: 4043
% 75.33/75.58  Current number of ordered equations: 0
% 75.33/75.58  Current number of rules: 1233
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1357]
% 75.33/75.58  leq(A addition B,multiplication(multiplication(strong_iteration(C),A),
% 75.33/75.58                   star(V_3)) addition B) -> true
% 75.33/75.58  Current number of equations to process: 4042
% 75.33/75.58  Current number of ordered equations: 0
% 75.33/75.58  Current number of rules: 1234
% 75.33/75.58  New rule produced :
% 75.33/75.58  [1358]
% 75.33/75.58  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(
% 75.33/75.58                                                                  strong_iteration(V_3),A))
% 75.33/75.58  -> true
% 75.33/75.58  Rule
% 75.33/75.58  [690]
% 75.33/75.58  leq(A addition B,multiplication(strong_iteration(C),A) addition multiplication(
% 75.33/75.58                                                                  strong_iteration(C),B))
% 79.15/79.31  -> true collapsed.
% 79.15/79.31  Current number of equations to process: 4040
% 79.15/79.31  Current number of ordered equations: 1
% 79.15/79.31  Current number of rules: 1234
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1359]
% 79.15/79.31  leq(A addition B,multiplication(strong_iteration(C),multiplication(strong_iteration(V_3),A)) addition B)
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4040
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1235
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1360]
% 79.15/79.31  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 79.15/79.31                                                          strong_iteration(A),B) addition C)
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4149
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1236
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1361]
% 79.15/79.31  leq(A addition B,multiplication(multiplication(strong_iteration(C),A),
% 79.15/79.31                   strong_iteration(V_3)) addition B) -> true
% 79.15/79.31  Current number of equations to process: 4148
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1237
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1362]
% 79.15/79.31  leq(A addition B,multiplication(star(C),multiplication(strong_iteration(V_3),A)) addition B)
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4147
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1238
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1363]
% 79.15/79.31  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),B) addition A)
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4210
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1239
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1364]
% 79.15/79.31  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 79.15/79.31  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 79.15/79.31  Current number of equations to process: 4359
% 79.15/79.31  Current number of ordered equations: 1
% 79.15/79.31  Current number of rules: 1240
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1365]
% 79.15/79.31  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 79.15/79.31  <-> multiplication(strong_iteration(A),multiplication(B,C))
% 79.15/79.31  Current number of equations to process: 4359
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1241
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1366]
% 79.15/79.31  leq(multiplication(A,zero) addition B,star(A) addition multiplication(
% 79.15/79.31                                                         strong_iteration(C),B))
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4358
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1242
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1367]
% 79.15/79.31  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(
% 79.15/79.31                                                                     strong_iteration(C),B))
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4357
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1243
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1368]
% 79.15/79.31  leq(star(A) addition star(B),strong_iteration(A) addition multiplication(
% 79.15/79.31                                                            strong_iteration(C),
% 79.15/79.31                                                            strong_iteration(B)))
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4356
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1244
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1369]
% 79.15/79.31  leq(multiplication(A,B) addition C,multiplication(multiplication(strong_iteration(V_3),A),B) addition C)
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4355
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1245
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1370]
% 79.15/79.31  leq(strong_iteration(A) addition multiplication(strong_iteration(B),star(A)),
% 79.15/79.31  multiplication(strong_iteration(B),strong_iteration(A))) -> true
% 79.15/79.31  Current number of equations to process: 4354
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1246
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1371]
% 79.15/79.31  ifeq(leq(multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)),
% 79.15/79.31       strong_iteration(A)),true,true,true) -> true
% 79.15/79.31  Current number of equations to process: 4351
% 79.15/79.31  Current number of ordered equations: 0
% 79.15/79.31  Current number of rules: 1247
% 79.15/79.31  New rule produced :
% 79.15/79.31  [1372]
% 79.15/79.31  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(A,
% 79.15/79.31                                                              star(A))) addition C)
% 79.15/79.31  -> true
% 79.15/79.31  Current number of equations to process: 4349
% 79.15/79.31  Current number of ordered equations: 1
% 79.36/79.51  Current number of rules: 1248
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1373]
% 79.36/79.51  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(
% 79.36/79.51                                                            strong_iteration(C),B))
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4349
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1249
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1374]
% 79.36/79.51  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(
% 79.36/79.51                                                              star(A),A)) addition C)
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4347
% 79.36/79.51  Current number of ordered equations: 1
% 79.36/79.51  Current number of rules: 1250
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1375]
% 79.36/79.51  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(
% 79.36/79.51                                                            strong_iteration(C),B))
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4347
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1251
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1376]
% 79.36/79.51  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 79.36/79.51                                       multiplication(A,strong_iteration(A))) addition C)
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4345
% 79.36/79.51  Current number of ordered equations: 1
% 79.36/79.51  Current number of rules: 1252
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1377]
% 79.36/79.51  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 79.36/79.51                                                       multiplication(strong_iteration(C),B))
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4345
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1253
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1378]
% 79.36/79.51  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),B) addition 
% 79.36/79.51                                        multiplication(A,V_3)) -> true
% 79.36/79.51  Current number of equations to process: 4344
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1254
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1379]
% 79.36/79.51  leq(multiplication(A,star(A)) addition B,multiplication(strong_iteration(C),
% 79.36/79.51                                           star(A)) addition B) -> true
% 79.36/79.51  Current number of equations to process: 4343
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1255
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1380]
% 79.36/79.51  leq(multiplication(star(A),A) addition B,multiplication(strong_iteration(C),
% 79.36/79.51                                           star(A)) addition B) -> true
% 79.36/79.51  Current number of equations to process: 4342
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1256
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1381]
% 79.36/79.51  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(strong_iteration(C),
% 79.36/79.51                                                       strong_iteration(A)) addition B)
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4341
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1257
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1382]
% 79.36/79.51  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 79.36/79.51                                                          strong_iteration(C),
% 79.36/79.51                                                          strong_iteration(A)) addition B)
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4340
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1258
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1383]
% 79.36/79.51  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),B) addition A addition V_3)
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4339
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1259
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1384]
% 79.36/79.51  leq(one addition A,multiplication(strong_iteration(B),A) addition multiplication(
% 79.36/79.51                                                                    star(C),
% 79.36/79.51                                                                    star(V_3)))
% 79.36/79.51  -> true
% 79.36/79.51  Current number of equations to process: 4337
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1260
% 79.36/79.51  New rule produced :
% 79.36/79.51  [1385]
% 79.36/79.51  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 79.36/79.51                     multiplication(strong_iteration(V_3),A)) -> true
% 79.36/79.51  Current number of equations to process: 4336
% 79.36/79.51  Current number of ordered equations: 0
% 79.36/79.51  Current number of rules: 1261
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1386]
% 82.25/82.48  leq(one addition A,multiplication(strong_iteration(B),A) addition multiplication(
% 82.25/82.48                                                                    star(C),
% 82.25/82.48                                                                    strong_iteration(V_3)))
% 82.25/82.48  -> true
% 82.25/82.48  Current number of equations to process: 4334
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1262
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1387]
% 82.25/82.48  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 82.25/82.48                     multiplication(strong_iteration(V_3),A)) -> true
% 82.25/82.48  Current number of equations to process: 4333
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1263
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1388]
% 82.25/82.48  leq(multiplication(star(one),multiplication(A,zero)),multiplication(strong_iteration(B),
% 82.25/82.48                                                       multiplication(A,C))) ->
% 82.25/82.48  true
% 82.25/82.48  Current number of equations to process: 4379
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1264
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1389]
% 82.25/82.48  leq(star(A),strong_iteration(multiplication(A,strong_iteration(A)))) -> true
% 82.25/82.48  Current number of equations to process: 4460
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1265
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1390]
% 82.25/82.48  star(multiplication(A,multiplication(B,multiplication(C,zero)))) <->
% 82.25/82.48  one addition multiplication(multiplication(A,B),multiplication(C,zero))
% 82.25/82.48  Current number of equations to process: 4473
% 82.25/82.48  Current number of ordered equations: 1
% 82.25/82.48  Current number of rules: 1266
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1391]
% 82.25/82.48  one addition multiplication(multiplication(A,B),multiplication(C,zero)) <->
% 82.25/82.48  star(multiplication(A,multiplication(B,multiplication(C,zero))))
% 82.25/82.48  Current number of equations to process: 4473
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1267
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1392]
% 82.25/82.48  strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero))))
% 82.25/82.48  <-> one addition multiplication(multiplication(A,B),multiplication(C,zero))
% 82.25/82.48  Current number of equations to process: 4472
% 82.25/82.48  Current number of ordered equations: 1
% 82.25/82.48  Current number of rules: 1268
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1393]
% 82.25/82.48  one addition multiplication(multiplication(A,B),multiplication(C,zero)) <->
% 82.25/82.48  strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero))))
% 82.25/82.48  Current number of equations to process: 4472
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1269
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1394]
% 82.25/82.48  strong_iteration(A) addition multiplication(strong_iteration(A),A) ->
% 82.25/82.48  strong_iteration(A)
% 82.25/82.48  Current number of equations to process: 4574
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1270
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1395]
% 82.25/82.48  star(A) addition multiplication(strong_iteration(B),B) ->
% 82.25/82.48  strong_iteration(B) addition star(A)
% 82.25/82.48  Current number of equations to process: 4597
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1271
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1396]
% 82.25/82.48  strong_iteration(A) addition multiplication(strong_iteration(B),B) ->
% 82.25/82.48  strong_iteration(A) addition strong_iteration(B)
% 82.25/82.48  Rule
% 82.25/82.48  [1394]
% 82.25/82.48  strong_iteration(A) addition multiplication(strong_iteration(A),A) ->
% 82.25/82.48  strong_iteration(A) collapsed.
% 82.25/82.48  Current number of equations to process: 4596
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1271
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1397]
% 82.25/82.48  multiplication(A,multiplication(strong_iteration(B),B)) addition A ->
% 82.25/82.48  multiplication(A,strong_iteration(B))
% 82.25/82.48  Current number of equations to process: 4595
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1272
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1398]
% 82.25/82.48  multiplication(multiplication(strong_iteration(A),A),B) addition B ->
% 82.25/82.48  multiplication(strong_iteration(A),B)
% 82.25/82.48  Current number of equations to process: 4594
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1273
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1399]
% 82.25/82.48  ifeq3(strong_iteration(A),one,leq(multiplication(strong_iteration(A),A),one),true)
% 82.25/82.48  -> true
% 82.25/82.48  Current number of equations to process: 4592
% 82.25/82.48  Current number of ordered equations: 0
% 82.25/82.48  Current number of rules: 1274
% 82.25/82.48  New rule produced :
% 82.25/82.48  [1400]
% 82.25/82.48  ifeq2(leq(multiplication(strong_iteration(A),A),one),true,strong_iteration(A),one)
% 82.25/82.48  -> one
% 82.25/82.48  Current number of equations to process: 4591
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1275
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1401] leq(multiplication(strong_iteration(A),A),strong_iteration(A)) -> true
% 83.56/83.76  Current number of equations to process: 4594
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1276
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1402]
% 83.56/83.76  leq(multiplication(strong_iteration(A),A),strong_iteration(A) addition B) ->
% 83.56/83.76  true
% 83.56/83.76  Current number of equations to process: 4623
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1277
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1403]
% 83.56/83.76  multiplication(strong_iteration(multiplication(A,star(A))),star(A)) ->
% 83.56/83.76  strong_iteration(multiplication(A,star(A)))
% 83.56/83.76  Current number of equations to process: 4624
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1278
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1404]
% 83.56/83.76  multiplication(strong_iteration(multiplication(star(A),A)),star(A)) ->
% 83.56/83.76  strong_iteration(multiplication(star(A),A))
% 83.56/83.76  Current number of equations to process: 4623
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1279
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1405]
% 83.56/83.76  multiplication(strong_iteration(multiplication(A,strong_iteration(A))),
% 83.56/83.76  strong_iteration(A)) ->
% 83.56/83.76  strong_iteration(multiplication(A,strong_iteration(A)))
% 83.56/83.76  Current number of equations to process: 4622
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1280
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1406]
% 83.56/83.76  multiplication(strong_iteration(strong_iteration(A)),strong_iteration(A)) ->
% 83.56/83.76  strong_iteration(strong_iteration(A))
% 83.56/83.76  Current number of equations to process: 4637
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1281
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1407]
% 83.56/83.76  multiplication(strong_iteration(star(A)),star(A)) ->
% 83.56/83.76  strong_iteration(star(A))
% 83.56/83.76  Current number of equations to process: 4638
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1282
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1408]
% 83.56/83.76  strong_iteration(A) addition multiplication(multiplication(A,strong_iteration(A)),A)
% 83.56/83.76  -> strong_iteration(A)
% 83.56/83.76  Current number of equations to process: 4697
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1283
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1409]
% 83.56/83.76  multiplication(strong_iteration(A),star(star(star(A)))) ->
% 83.56/83.76  strong_iteration(A) addition star(star(star(A)))
% 83.56/83.76  Current number of equations to process: 4696
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1284
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1410]
% 83.56/83.76  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition B)
% 83.56/83.76  -> true
% 83.56/83.76  Current number of equations to process: 4697
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1285
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1411]
% 83.56/83.76  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 83.56/83.76                                       star(B))) -> true
% 83.56/83.76  Current number of equations to process: 4694
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1286
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1412]
% 83.56/83.76  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 83.56/83.76                                       strong_iteration(B))) -> true
% 83.56/83.76  Current number of equations to process: 4693
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1287
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1413]
% 83.56/83.76  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(
% 83.56/83.76                                                              strong_iteration(A),A)))
% 83.56/83.76  -> true
% 83.56/83.76  Current number of equations to process: 4692
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1288
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1414]
% 83.56/83.76  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 83.56/83.76                                       multiplication(strong_iteration(A),A)))
% 83.56/83.76  -> true
% 83.56/83.76  Current number of equations to process: 4691
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1289
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1415]
% 83.56/83.76  multiplication(star(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 83.56/83.76  -> multiplication(multiplication(A,B),multiplication(C,zero))
% 83.56/83.76  Current number of equations to process: 4689
% 83.56/83.76  Current number of ordered equations: 0
% 83.56/83.76  Current number of rules: 1290
% 83.56/83.76  New rule produced :
% 83.56/83.76  [1416]
% 83.56/83.76  multiplication(strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 84.33/84.49  -> multiplication(multiplication(A,B),multiplication(C,zero))
% 84.33/84.49  Current number of equations to process: 4688
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1291
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1417]
% 84.33/84.49  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition B addition C)
% 84.33/84.49  -> true
% 84.33/84.49  Current number of equations to process: 4687
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1292
% 84.33/84.49  Rule [226]
% 84.33/84.49       multiplication(strong_iteration(A),star(star(A))) ->
% 84.33/84.49       star(star(A)) addition multiplication(strong_iteration(A),zero) is composed into 
% 84.33/84.49  [226]
% 84.33/84.49  multiplication(strong_iteration(A),star(star(A))) ->
% 84.33/84.49  strong_iteration(A) addition star(star(A))
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1418]
% 84.33/84.49  star(star(A)) addition multiplication(strong_iteration(A),zero) ->
% 84.33/84.49  strong_iteration(A) addition star(star(A))
% 84.33/84.49  Current number of equations to process: 4702
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1293
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1419]
% 84.33/84.49  multiplication(strong_iteration(A),star(strong_iteration(star(A)))) ->
% 84.33/84.49  strong_iteration(A) addition star(strong_iteration(star(A)))
% 84.33/84.49  Current number of equations to process: 4707
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1294
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1420]
% 84.33/84.49  star(star(A)) addition multiplication(strong_iteration(A),star(A)) ->
% 84.33/84.49  strong_iteration(A) addition star(star(A))
% 84.33/84.49  Current number of equations to process: 4708
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1295
% 84.33/84.49  Rule [227]
% 84.33/84.49       multiplication(strong_iteration(A),strong_iteration(star(A))) ->
% 84.33/84.49       strong_iteration(star(A)) addition multiplication(strong_iteration(A),zero) is composed into 
% 84.33/84.49  [227]
% 84.33/84.49  multiplication(strong_iteration(A),strong_iteration(star(A))) ->
% 84.33/84.49  strong_iteration(star(A)) addition strong_iteration(A)
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1421]
% 84.33/84.49  strong_iteration(star(A)) addition multiplication(strong_iteration(A),zero)
% 84.33/84.49  -> strong_iteration(star(A)) addition strong_iteration(A)
% 84.33/84.49  Current number of equations to process: 4720
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1296
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1422]
% 84.33/84.49  multiplication(strong_iteration(A),A) addition multiplication(star(B),
% 84.33/84.49                                                 star(C)) ->
% 84.33/84.49  strong_iteration(A) addition multiplication(star(B),star(C))
% 84.33/84.49  Current number of equations to process: 4725
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1297
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1423]
% 84.33/84.49  multiplication(strong_iteration(A),star(B)) addition multiplication(strong_iteration(C),C)
% 84.33/84.49  -> strong_iteration(C) addition multiplication(strong_iteration(A),star(B))
% 84.33/84.49  Current number of equations to process: 4724
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1298
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1424]
% 84.33/84.49  multiplication(strong_iteration(A),A) addition multiplication(star(B),
% 84.33/84.49                                                 strong_iteration(C)) ->
% 84.33/84.49  strong_iteration(A) addition multiplication(star(B),strong_iteration(C))
% 84.33/84.49  Current number of equations to process: 4723
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1299
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1425]
% 84.33/84.49  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 84.33/84.49                                                                   strong_iteration(C),C)
% 84.33/84.49  ->
% 84.33/84.49  strong_iteration(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 84.33/84.49  Current number of equations to process: 4722
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1300
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1426]
% 84.33/84.49  multiplication(strong_iteration(A),multiplication(star(star(A)),B)) ->
% 84.33/84.49  multiplication(strong_iteration(A),zero) addition multiplication(star(
% 84.33/84.49                                                                   star(A)),B)
% 84.33/84.49  Current number of equations to process: 4721
% 84.33/84.49  Current number of ordered equations: 0
% 84.33/84.49  Current number of rules: 1301
% 84.33/84.49  New rule produced :
% 84.33/84.49  [1427]
% 84.33/84.49  multiplication(multiplication(A,strong_iteration(B)),star(star(B))) ->
% 84.33/84.49  multiplication(A,strong_iteration(B)) addition multiplication(A,star(star(B)))
% 84.33/84.49  Current number of equations to process: 4719
% 84.33/84.49  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1302
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1428]
% 84.46/84.69  multiplication(strong_iteration(A),multiplication(strong_iteration(star(A)),B))
% 84.46/84.69  ->
% 84.46/84.69  multiplication(strong_iteration(star(A)),B) addition multiplication(strong_iteration(A),zero)
% 84.46/84.69  Current number of equations to process: 4718
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1303
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1429]
% 84.46/84.69  multiplication(multiplication(A,strong_iteration(B)),strong_iteration(
% 84.46/84.69                                                       star(B))) ->
% 84.46/84.69  multiplication(A,strong_iteration(star(B))) addition multiplication(A,
% 84.46/84.69                                                       strong_iteration(B))
% 84.46/84.69  Current number of equations to process: 4716
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1304
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1430]
% 84.46/84.69  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),
% 84.46/84.69                                        multiplication(A,V_3)) addition B) ->
% 84.46/84.69  true
% 84.46/84.69  Current number of equations to process: 4715
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1305
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1431]
% 84.46/84.69  multiplication(strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero)))),V_3)
% 84.46/84.69  -> multiplication(multiplication(A,B),multiplication(C,zero)) addition V_3
% 84.46/84.69  Rule
% 84.46/84.69  [1416]
% 84.46/84.69  multiplication(strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 84.46/84.69  -> multiplication(multiplication(A,B),multiplication(C,zero)) collapsed.
% 84.46/84.69  Current number of equations to process: 4714
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1305
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1432]
% 84.46/84.69  multiplication(star(multiplication(A,multiplication(B,multiplication(C,zero)))),V_3)
% 84.46/84.69  -> multiplication(multiplication(A,B),multiplication(C,zero)) addition V_3
% 84.46/84.69  Rule
% 84.46/84.69  [1415]
% 84.46/84.69  multiplication(star(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 84.46/84.69  -> multiplication(multiplication(A,B),multiplication(C,zero)) collapsed.
% 84.46/84.69  Current number of equations to process: 4713
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1305
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1433]
% 84.46/84.69  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),A),leq(one,
% 84.46/84.69                                                                  multiplication(
% 84.46/84.69                                                                  strong_iteration(A),A)),true)
% 84.46/84.69  -> true
% 84.46/84.69  Current number of equations to process: 4711
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1306
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1434]
% 84.46/84.69  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),A),
% 84.46/84.69                               star(B)) ->
% 84.46/84.69  one addition multiplication(multiplication(strong_iteration(A),A),star(B))
% 84.46/84.69  Current number of equations to process: 4710
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1307
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1435]
% 84.46/84.69  strong_iteration(B) addition multiplication(star(A),multiplication(strong_iteration(B),B))
% 84.46/84.69  -> one addition multiplication(star(A),multiplication(strong_iteration(B),B))
% 84.46/84.69  Current number of equations to process: 4709
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1308
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1436]
% 84.46/84.69  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),A),
% 84.46/84.69                               strong_iteration(B)) ->
% 84.46/84.69  one addition multiplication(multiplication(strong_iteration(A),A),strong_iteration(B))
% 84.46/84.69  Current number of equations to process: 4708
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1309
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1437]
% 84.46/84.69  strong_iteration(B) addition multiplication(strong_iteration(A),multiplication(
% 84.46/84.69                                                                  strong_iteration(B),B))
% 84.46/84.69  ->
% 84.46/84.69  one addition multiplication(strong_iteration(A),multiplication(strong_iteration(B),B))
% 84.46/84.69  Current number of equations to process: 4707
% 84.46/84.69  Current number of ordered equations: 0
% 84.46/84.69  Current number of rules: 1310
% 84.46/84.69  New rule produced :
% 84.46/84.69  [1438]
% 84.46/84.69  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 84.46/84.69                                       star(B)) addition C) -> true
% 84.46/84.69  Current number of equations to process: 4705
% 84.46/84.69  Current number of ordered equations: 1
% 90.46/90.61  Current number of rules: 1311
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1439]
% 90.46/90.61  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 90.46/90.61                                                       multiplication(B,
% 90.46/90.61                                                       star(C))) -> true
% 90.46/90.61  Current number of equations to process: 4705
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1312
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1440]
% 90.46/90.61  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 90.46/90.61                                       strong_iteration(B)) addition C) -> true
% 90.46/90.61  Current number of equations to process: 4703
% 90.46/90.61  Current number of ordered equations: 1
% 90.46/90.61  Current number of rules: 1313
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1441]
% 90.46/90.61  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 90.46/90.61                                                       multiplication(B,
% 90.46/90.61                                                       strong_iteration(C))) ->
% 90.46/90.61  true
% 90.46/90.61  Current number of equations to process: 4703
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1314
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1442]
% 90.46/90.61  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(
% 90.46/90.61                                                              strong_iteration(A),A)) addition C)
% 90.46/90.61  -> true
% 90.46/90.61  Current number of equations to process: 4701
% 90.46/90.61  Current number of ordered equations: 1
% 90.46/90.61  Current number of rules: 1315
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1443]
% 90.46/90.61  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 90.46/90.61                                                       multiplication(star(C),B))
% 90.46/90.61  -> true
% 90.46/90.61  Current number of equations to process: 4701
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1316
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1444]
% 90.46/90.61  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 90.46/90.61                                       multiplication(strong_iteration(A),A)) addition C)
% 90.46/90.61  -> true
% 90.46/90.61  Current number of equations to process: 4699
% 90.46/90.61  Current number of ordered equations: 1
% 90.46/90.61  Current number of rules: 1317
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1445]
% 90.46/90.61  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 90.46/90.61                                                       multiplication(strong_iteration(C),B))
% 90.46/90.61  -> true
% 90.46/90.61  Current number of equations to process: 4699
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1318
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1446]
% 90.46/90.61  leq(multiplication(A,star(A)) addition B,strong_iteration(A) addition B) ->
% 90.46/90.61  true
% 90.46/90.61  Current number of equations to process: 4842
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1319
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1447]
% 90.46/90.61  leq(multiplication(A,star(A)) addition B,strong_iteration(A) addition B addition C)
% 90.46/90.61  -> true
% 90.46/90.61  Current number of equations to process: 4864
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1320
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1448]
% 90.46/90.61  leq(multiplication(star(A),A) addition B,strong_iteration(A) addition B) ->
% 90.46/90.61  true
% 90.46/90.61  Current number of equations to process: 739
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1321
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1449]
% 90.46/90.61  leq(multiplication(A,zero) addition multiplication(B,star(B)),star(B) addition A)
% 90.46/90.61  -> true
% 90.46/90.61  Current number of equations to process: 761
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1322
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1450]
% 90.46/90.61  leq(multiplication(star(A),A) addition B,strong_iteration(A) addition B addition C)
% 90.46/90.61  -> true
% 90.46/90.61  Current number of equations to process: 760
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1323
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1451]
% 90.46/90.61  leq(multiplication(A,zero) addition multiplication(B,star(B)),star(A) addition 
% 90.46/90.61                                                                star(B)) ->
% 90.46/90.61  true
% 90.46/90.61  Current number of equations to process: 759
% 90.46/90.61  Current number of ordered equations: 0
% 90.46/90.61  Current number of rules: 1324
% 90.46/90.61  New rule produced :
% 90.46/90.61  [1452]
% 90.46/90.61  leq(multiplication(A,zero) addition multiplication(B,star(B)),strong_iteration(A) addition 
% 90.46/90.61                                                                star(B)) ->
% 90.46/90.61  true
% 90.46/90.61  Current number of equations to process: 758
% 90.46/90.61  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1325
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1453]
% 97.05/97.29  leq(multiplication(A,star(A)) addition B,multiplication(star(C),strong_iteration(A)) addition B)
% 97.05/97.29  -> true
% 97.05/97.29  Current number of equations to process: 757
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1326
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1454]
% 97.05/97.29  leq(multiplication(A,star(A)) addition B,multiplication(strong_iteration(C),
% 97.05/97.29                                           strong_iteration(A)) addition B) ->
% 97.05/97.29  true
% 97.05/97.29  Current number of equations to process: 756
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1327
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1455]
% 97.05/97.29  leq(multiplication(star(A),A) addition multiplication(B,zero),star(A) addition B)
% 97.05/97.29  -> true
% 97.05/97.29  Current number of equations to process: 1006
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1328
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1456]
% 97.05/97.29  leq(multiplication(star(A),A) addition multiplication(B,zero),star(A) addition 
% 97.05/97.29                                                                star(B)) ->
% 97.05/97.29  true
% 97.05/97.29  Current number of equations to process: 1005
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1329
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1457]
% 97.05/97.29  leq(multiplication(star(A),A) addition multiplication(B,zero),strong_iteration(B) addition 
% 97.05/97.29                                                                star(A)) ->
% 97.05/97.29  true
% 97.05/97.29  Current number of equations to process: 1004
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1330
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1458]
% 97.05/97.29  leq(multiplication(star(A),A) addition B,multiplication(star(C),strong_iteration(A)) addition B)
% 97.05/97.29  -> true
% 97.05/97.29  Current number of equations to process: 1003
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1331
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1459]
% 97.05/97.29  leq(multiplication(star(A),A) addition B,multiplication(strong_iteration(C),
% 97.05/97.29                                           strong_iteration(A)) addition B) ->
% 97.05/97.29  true
% 97.05/97.29  Current number of equations to process: 1002
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1332
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1460]
% 97.05/97.29  leq(multiplication(A,zero) addition multiplication(B,strong_iteration(B)),
% 97.05/97.29  strong_iteration(B) addition A) -> true
% 97.05/97.29  Current number of equations to process: 1240
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1333
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1461]
% 97.05/97.29  leq(multiplication(A,zero) addition multiplication(B,strong_iteration(B)),
% 97.05/97.29  strong_iteration(B) addition star(A)) -> true
% 97.05/97.29  Current number of equations to process: 1239
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1334
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1462]
% 97.05/97.29  leq(multiplication(A,zero) addition multiplication(B,strong_iteration(B)),
% 97.05/97.29  strong_iteration(A) addition strong_iteration(B)) -> true
% 97.05/97.29  Current number of equations to process: 1238
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1335
% 97.05/97.29  Rule [1217]
% 97.05/97.29       multiplication(star(A),multiplication(B,C)) <->
% 97.05/97.29       multiplication(multiplication(star(A),B),C) addition multiplication(B,zero) is composed into 
% 97.05/97.29  [1217]
% 97.05/97.29  multiplication(star(A),multiplication(B,C)) <->
% 97.05/97.29  multiplication(multiplication(star(A),B),C)
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1463]
% 97.05/97.29  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 97.05/97.29  -> multiplication(multiplication(star(A),B),C)
% 97.05/97.29  Rule
% 97.05/97.29  [1216]
% 97.05/97.29  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 97.05/97.29  <-> multiplication(star(A),multiplication(B,C)) collapsed.
% 97.05/97.29  Current number of equations to process: 1348
% 97.05/97.29  Current number of ordered equations: 0
% 97.05/97.29  Current number of rules: 1335
% 97.05/97.29  Rule [1364]
% 97.05/97.29       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 97.05/97.29       multiplication(multiplication(strong_iteration(A),B),C) addition 
% 97.05/97.29       multiplication(B,zero) is composed into [1364]
% 97.05/97.29                                               multiplication(strong_iteration(A),
% 97.05/97.29                                               multiplication(B,C)) <->
% 97.05/97.29                                               multiplication(multiplication(
% 97.05/97.29                                                              strong_iteration(A),B),C)
% 97.05/97.29  New rule produced :
% 97.05/97.29  [1464]
% 97.05/97.29  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 97.05/97.29  -> multiplication(multiplication(strong_iteration(A),B),C)
% 104.63/104.81  Rule
% 104.63/104.81  [1365]
% 104.63/104.81  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 104.63/104.81  <-> multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 104.63/104.81  Current number of equations to process: 1347
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1335
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1465]
% 104.63/104.81  leq(multiplication(A,zero),multiplication(multiplication(star(B),A),C)) ->
% 104.63/104.81  true
% 104.63/104.81  Current number of equations to process: 1370
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1336
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1466]
% 104.63/104.81  leq(multiplication(A,zero),multiplication(multiplication(star(B),A),C) addition V_3)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1375
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1337
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1467]
% 104.63/104.81  leq(multiplication(A,zero),multiplication(multiplication(strong_iteration(B),A),C))
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1394
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1338
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1468]
% 104.63/104.81  leq(multiplication(A,zero),multiplication(multiplication(strong_iteration(B),A),C) addition V_3)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1395
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1339
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1469]
% 104.63/104.81  leq(multiplication(A,multiplication(B,zero)),multiplication(A,B)) -> true
% 104.63/104.81  Rule
% 104.63/104.81  [363]
% 104.63/104.81  leq(multiplication(A,multiplication(strong_iteration(B),zero)),multiplication(A,
% 104.63/104.81                                                                 strong_iteration(B)))
% 104.63/104.81  -> true collapsed.
% 104.63/104.81  Current number of equations to process: 1404
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1339
% 104.63/104.81  Rule [238]
% 104.63/104.81       multiplication(multiplication(A,B),C) <->
% 104.63/104.81       multiplication(multiplication(A,B),zero) addition multiplication(A,
% 104.63/104.81                                                         multiplication(B,C)) is composed into 
% 104.63/104.81  [238]
% 104.63/104.81  multiplication(multiplication(A,B),C) <->
% 104.63/104.81  multiplication(A,multiplication(B,C))
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1470]
% 104.63/104.81  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 104.63/104.81  -> multiplication(A,multiplication(B,C))
% 104.63/104.81  Rule
% 104.63/104.81  [239]
% 104.63/104.81  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 104.63/104.81  <-> multiplication(multiplication(A,B),C) collapsed.
% 104.63/104.81  Current number of equations to process: 1425
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1339
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1471]
% 104.63/104.81  leq(multiplication(A,zero) addition B,multiplication(multiplication(star(C),A),V_3) addition B)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1424
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1340
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1472]
% 104.63/104.81  leq(multiplication(A,zero) addition B,multiplication(multiplication(strong_iteration(C),A),V_3) addition B)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1423
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1341
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1473]
% 104.63/104.81  leq(multiplication(A,multiplication(B,zero)),multiplication(A,multiplication(B,C)))
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1531
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1342
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1474]
% 104.63/104.81  leq(multiplication(A,multiplication(B,zero)),multiplication(A,multiplication(B,C)) addition V_3)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1530
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1343
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1475]
% 104.63/104.81  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 104.63/104.81                                                          star(B)) addition C)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1804
% 104.63/104.81  Current number of ordered equations: 1
% 104.63/104.81  Current number of rules: 1344
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1476]
% 104.63/104.81  leq(multiplication(multiplication(A,B),zero) addition C,multiplication(A,
% 104.63/104.81                                                          star(B)) addition C)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 1804
% 104.63/104.81  Current number of ordered equations: 0
% 104.63/104.81  Current number of rules: 1345
% 104.63/104.81  New rule produced :
% 104.63/104.81  [1477]
% 104.63/104.81  leq(multiplication(A,zero) addition B,multiplication(star(A),B) addition C)
% 104.63/104.81  -> true
% 104.63/104.81  Current number of equations to process: 2006
% 106.27/106.46  Current number of ordered equations: 1
% 106.27/106.46  Current number of rules: 1346
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1478]
% 106.27/106.46  leq(multiplication(A,zero) addition B,multiplication(star(A),C) addition B)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2006
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1347
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1479]
% 106.27/106.46  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),B) addition C)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2056
% 106.27/106.46  Current number of ordered equations: 1
% 106.27/106.46  Current number of rules: 1348
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1480]
% 106.27/106.46  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),C) addition B)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2056
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1349
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1481] leq(multiplication(multiplication(A,A),star(A)),star(A)) -> true
% 106.27/106.46  Current number of equations to process: 2107
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1350
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1482]
% 106.27/106.46  leq(multiplication(multiplication(A,A),star(A)),star(A) addition B) -> true
% 106.27/106.46  Current number of equations to process: 2108
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1351
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1483]
% 106.27/106.46  leq(multiplication(A,zero) addition multiplication(B,zero),multiplication(B,C) addition A)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2106
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1352
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1484]
% 106.27/106.46  leq(multiplication(multiplication(A,B),multiplication(B,star(B))),multiplication(A,
% 106.27/106.46                                                                    star(B)))
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2105
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1353
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1485]
% 106.27/106.46  leq(multiplication(A,zero) addition multiplication(B,zero),star(A) addition 
% 106.27/106.46                                                             multiplication(B,C))
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2104
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1354
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1486]
% 106.27/106.46  leq(multiplication(A,zero) addition multiplication(B,zero),strong_iteration(A) addition 
% 106.27/106.46                                                             multiplication(B,C))
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2103
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1355
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1487]
% 106.27/106.46  leq(one addition multiplication(star(A),zero),multiplication(star(A),star(B)) addition C)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2102
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1356
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1488]
% 106.27/106.46  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 106.27/106.46                                                            strong_iteration(A),
% 106.27/106.46                                                            star(B)) addition C)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2101
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1357
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1489]
% 106.27/106.46  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 106.27/106.46                                                          strong_iteration(B)) addition C)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2099
% 106.27/106.46  Current number of ordered equations: 1
% 106.27/106.46  Current number of rules: 1358
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1490]
% 106.27/106.46  leq(multiplication(multiplication(A,B),zero) addition C,multiplication(A,
% 106.27/106.46                                                          strong_iteration(B)) addition C)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2099
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1359
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1491]
% 106.27/106.46  leq(one addition multiplication(star(A),zero),multiplication(star(A),
% 106.27/106.46                                                strong_iteration(B)) addition C)
% 106.27/106.46  -> true
% 106.27/106.46  Current number of equations to process: 2098
% 106.27/106.46  Current number of ordered equations: 0
% 106.27/106.46  Current number of rules: 1360
% 106.27/106.46  New rule produced :
% 106.27/106.46  [1492]
% 106.27/106.46  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 106.27/106.46                                                            strong_iteration(A),
% 107.27/107.48                                                            strong_iteration(B)) addition C)
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2097
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1361
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1493]
% 107.27/107.48  leq(multiplication(A,zero) addition B,multiplication(star(A),C) addition B addition V_3)
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2096
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1362
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1494]
% 107.27/107.48  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),C) addition B addition V_3)
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2095
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1363
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1495]
% 107.27/107.48  leq(multiplication(A,multiplication(B,star(B))),multiplication(multiplication(A,
% 107.27/107.48                                                                 star(B)),
% 107.27/107.48                                                  star(C))) -> true
% 107.27/107.48  Current number of equations to process: 2094
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1364
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1496]
% 107.27/107.48  leq(multiplication(A,multiplication(B,star(B))),multiplication(strong_iteration(C),
% 107.27/107.48                                                  multiplication(A,star(B))))
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2092
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1365
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1497]
% 107.27/107.48  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,strong_iteration(B)))
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2114
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1366
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1498]
% 107.27/107.48  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,strong_iteration(B)) addition C)
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2113
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1367
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1499]
% 107.27/107.48  leq(multiplication(A,multiplication(B,star(B))),multiplication(multiplication(A,
% 107.27/107.48                                                                 star(B)),
% 107.27/107.48                                                  strong_iteration(C))) -> true
% 107.27/107.48  Current number of equations to process: 2112
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1368
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1500]
% 107.27/107.48  leq(multiplication(A,multiplication(B,star(B))),multiplication(star(C),
% 107.27/107.48                                                  multiplication(A,star(B))))
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2111
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1369
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1501] leq(multiplication(A,multiplication(star(A),A)),star(A)) -> true
% 107.27/107.48  Current number of equations to process: 2141
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1370
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1502]
% 107.27/107.48  leq(multiplication(A,multiplication(star(A),A)),star(A) addition B) -> true
% 107.27/107.48  Current number of equations to process: 2142
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1371
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1503]
% 107.27/107.48  leq(multiplication(multiplication(A,B),multiplication(star(B),B)),multiplication(A,
% 107.27/107.48                                                                    star(B)))
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2140
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1372
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1504]
% 107.27/107.48  leq(multiplication(A,multiplication(star(B),B)),multiplication(multiplication(A,
% 107.27/107.48                                                                 star(B)),
% 107.27/107.48                                                  star(C))) -> true
% 107.27/107.48  Current number of equations to process: 2139
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1373
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1505]
% 107.27/107.48  leq(multiplication(A,multiplication(star(B),B)),multiplication(strong_iteration(C),
% 107.27/107.48                                                  multiplication(A,star(B))))
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2137
% 107.27/107.48  Current number of ordered equations: 0
% 107.27/107.48  Current number of rules: 1374
% 107.27/107.48  New rule produced :
% 107.27/107.48  [1506]
% 107.27/107.48  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,strong_iteration(B)))
% 107.27/107.48  -> true
% 107.27/107.48  Current number of equations to process: 2157
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1375
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1507]
% 108.66/108.84  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,strong_iteration(B)) addition C)
% 108.66/108.84  -> true
% 108.66/108.84  Current number of equations to process: 2156
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1376
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1508]
% 108.66/108.84  leq(multiplication(A,multiplication(star(B),B)),multiplication(multiplication(A,
% 108.66/108.84                                                                 star(B)),
% 108.66/108.84                                                  strong_iteration(C))) -> true
% 108.66/108.84  Current number of equations to process: 2155
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1377
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1509]
% 108.66/108.84  leq(multiplication(A,multiplication(star(B),B)),multiplication(star(C),
% 108.66/108.84                                                  multiplication(A,star(B))))
% 108.66/108.84  -> true
% 108.66/108.84  Current number of equations to process: 2154
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1378
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1510]
% 108.66/108.84  leq(multiplication(multiplication(A,A),strong_iteration(A)),strong_iteration(A))
% 108.66/108.84  -> true
% 108.66/108.84  Current number of equations to process: 2179
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1379
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1511]
% 108.66/108.84  leq(multiplication(multiplication(A,A),strong_iteration(A)),strong_iteration(A) addition B)
% 108.66/108.84  -> true
% 108.66/108.84  Current number of equations to process: 2180
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1380
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1512]
% 108.66/108.84  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.66/108.84                                                              multiplication(A,
% 108.66/108.84                                                              strong_iteration(B)),
% 108.66/108.84                                                              star(C))) -> true
% 108.66/108.84  Current number of equations to process: 2179
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1381
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1513]
% 108.66/108.84  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.66/108.84                                                              strong_iteration(C),
% 108.66/108.84                                                              multiplication(A,
% 108.66/108.84                                                              strong_iteration(B))))
% 108.66/108.84  -> true
% 108.66/108.84  Current number of equations to process: 2178
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1382
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1514]
% 108.66/108.84  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.66/108.84                                                              multiplication(A,
% 108.66/108.84                                                              strong_iteration(B)),
% 108.66/108.84                                                              strong_iteration(C)))
% 108.66/108.84  -> true
% 108.66/108.84  Current number of equations to process: 2198
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1383
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1515]
% 108.66/108.84  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.66/108.84                                                              star(C),multiplication(A,
% 108.66/108.84                                                                      strong_iteration(B))))
% 108.66/108.84  -> true
% 108.66/108.84  Current number of equations to process: 2197
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1384
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1516]
% 108.66/108.84  leq(multiplication(multiplication(A,star(A)),A),star(A) addition B) -> true
% 108.66/108.84  Current number of equations to process: 2218
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1385
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1517] leq(multiplication(multiplication(A,star(A)),A),star(A)) -> true
% 108.66/108.84  Current number of equations to process: 2220
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1386
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1518]
% 108.66/108.84  leq(multiplication(multiplication(A,B),multiplication(B,strong_iteration(B))),
% 108.66/108.84  multiplication(A,strong_iteration(B))) -> true
% 108.66/108.84  Current number of equations to process: 2222
% 108.66/108.84  Current number of ordered equations: 0
% 108.66/108.84  Current number of rules: 1387
% 108.66/108.84  New rule produced :
% 108.66/108.84  [1519]
% 108.66/108.84  leq(multiplication(multiplication(A,star(A)),B),multiplication(multiplication(
% 108.66/108.84                                                                 star(A),B),
% 110.17/110.31                                                  star(C))) -> true
% 110.17/110.31  Current number of equations to process: 2221
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1388
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1520]
% 110.17/110.31  leq(multiplication(multiplication(A,star(A)),B),multiplication(strong_iteration(C),
% 110.17/110.31                                                  multiplication(star(A),B)))
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2219
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1389
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1521]
% 110.17/110.31  leq(multiplication(multiplication(A,star(A)),star(B)),multiplication(
% 110.17/110.31                                                        star(A),strong_iteration(B)))
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2243
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1390
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1522]
% 110.17/110.31  leq(multiplication(multiplication(A,star(A)),B),multiplication(multiplication(
% 110.17/110.31                                                                 star(A),B),
% 110.17/110.31                                                  strong_iteration(C))) -> true
% 110.17/110.31  Current number of equations to process: 2242
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1391
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1523]
% 110.17/110.31  leq(multiplication(multiplication(A,star(A)),B),multiplication(star(C),
% 110.17/110.31                                                  multiplication(star(A),B)))
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2241
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1392
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1524]
% 110.17/110.31  leq(multiplication(star(A),multiplication(A,A)),star(A) addition star(B)) ->
% 110.17/110.31  true
% 110.17/110.31  Current number of equations to process: 2275
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1393
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1525]
% 110.17/110.31  leq(multiplication(multiplication(A,star(A)),multiplication(A,B)),multiplication(
% 110.17/110.31                                                                    star(A),B))
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2274
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1394
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1526]
% 110.17/110.31  leq(multiplication(multiplication(star(A),A),B),multiplication(multiplication(
% 110.17/110.31                                                                 star(A),B),
% 110.17/110.31                                                  star(C))) -> true
% 110.17/110.31  Current number of equations to process: 2273
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1395
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1527]
% 110.17/110.31  leq(multiplication(star(A),multiplication(A,A)),star(A) addition star(B) addition C)
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2272
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1396
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1528]
% 110.17/110.31  leq(multiplication(multiplication(star(A),A),B),multiplication(strong_iteration(C),
% 110.17/110.31                                                  multiplication(star(A),B)))
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2271
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1397
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1529]
% 110.17/110.31  leq(multiplication(multiplication(star(A),A),star(B)),multiplication(
% 110.17/110.31                                                        star(A),strong_iteration(B)))
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2296
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1398
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1530]
% 110.17/110.31  leq(multiplication(multiplication(star(A),A),B),multiplication(multiplication(
% 110.17/110.31                                                                 star(A),B),
% 110.17/110.31                                                  strong_iteration(C))) -> true
% 110.17/110.31  Current number of equations to process: 2295
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1399
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1531]
% 110.17/110.31  leq(multiplication(multiplication(star(A),A),B),multiplication(star(C),
% 110.17/110.31                                                  multiplication(star(A),B)))
% 110.17/110.31  -> true
% 110.17/110.31  Current number of equations to process: 2294
% 110.17/110.31  Current number of ordered equations: 0
% 110.17/110.31  Current number of rules: 1400
% 110.17/110.31  New rule produced :
% 110.17/110.31  [1532]
% 110.17/110.31  leq(multiplication(multiplication(star(A),A),multiplication(A,B)),multiplication(
% 110.17/110.31                                                                    star(A),B))
% 110.17/110.31  -> t
%------------------------------------------------------------------------------