TSTP Solution File: KLE151-10 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : KLE151-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n186.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 13:07:00 EST 2019

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

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : KLE151-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04  % Command  : tptp2X_and_run_cime %s
% 0.03/0.26  % Computer : n186.star.cs.uiowa.edu
% 0.03/0.26  % Model    : x86_64 x86_64
% 0.03/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26  % Memory   : 32218.5MB
% 0.03/0.26  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.26  % CPULimit : 300
% 0.03/0.26  % DateTime : Thu Feb 21 05:02:10 CST 2019
% 0.03/0.26  % CPUTime  : 
% 1.16/1.40  Processing problem /tmp/CiME_56888_n186.star.cs.uiowa.edu
% 1.16/1.40  #verbose 1;
% 1.16/1.40                let F = signature "  addition : AC; sK1_goals_X1,sK2_goals_X0,true,one,zero : constant;  strong_iteration : 1;  leq : 2;  star : 1;  multiplication : 2;  ifeq : 4;  ifeq2 : 4;  ifeq3 : 4;";
% 1.16/1.40  let X = vars "A B C";
% 1.16/1.40  let Axioms = equations F X "
% 1.16/1.40   multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C));
% 1.16/1.40   ifeq3(A,A,B,C) = B;
% 1.16/1.40   ifeq2(A,A,B,C) = B;
% 1.16/1.40   ifeq(A,A,B,C) = B;
% 1.16/1.40   A addition zero = A;
% 1.16/1.40   A addition A = A;
% 1.16/1.40   multiplication(A,one) = A;
% 1.16/1.40   multiplication(one,A) = A;
% 1.16/1.40   multiplication(A,B addition C) = multiplication(A,B) addition multiplication(A,C);
% 1.16/1.40   multiplication(A addition B,C) = multiplication(A,C) addition multiplication(B,C);
% 1.16/1.40   multiplication(zero,A) = zero;
% 1.16/1.40   one addition multiplication(A,star(A)) = star(A);
% 1.16/1.40   one addition multiplication(star(A),A) = star(A);
% 1.16/1.40   ifeq(leq(multiplication(A,C) addition B,C),true,leq(multiplication(star(A),B),C),true) = true;
% 1.16/1.40   ifeq(leq(multiplication(C,A) addition B,C),true,leq(multiplication(B,star(A)),C),true) = true;
% 1.16/1.40   strong_iteration(A) = multiplication(A,strong_iteration(A)) addition one;
% 1.16/1.40   ifeq(leq(C,multiplication(A,C) addition B),true,leq(C,multiplication(strong_iteration(A),B)),true) = true;
% 1.16/1.40   strong_iteration(A) = star(A) addition multiplication(strong_iteration(A),zero);
% 1.16/1.40   ifeq2(leq(A,B),true,A addition B,B) = B;
% 1.16/1.40   ifeq3(A addition B,B,leq(A,B),true) = true;
% 1.16/1.40  ";
% 1.16/1.40  
% 1.16/1.40  let s1 = status F "
% 1.16/1.40   sK1_goals_X1 lr_lex;
% 1.16/1.40   sK2_goals_X0 lr_lex;
% 1.16/1.40   strong_iteration lr_lex;
% 1.16/1.40   true lr_lex;
% 1.16/1.40   leq lr_lex;
% 1.16/1.40   star lr_lex;
% 1.16/1.40   one lr_lex;
% 1.16/1.40   zero lr_lex;
% 1.16/1.40   ifeq lr_lex;
% 1.16/1.40   ifeq2 lr_lex;
% 1.16/1.40   ifeq3 lr_lex;
% 1.16/1.40   multiplication mul;
% 1.16/1.40   addition mul;
% 1.16/1.40  ";
% 1.16/1.40  
% 1.16/1.40  let p1 = precedence F "
% 1.16/1.40  ifeq3 > ifeq2 > ifeq > multiplication > leq > star > strong_iteration > addition > zero > one > true > sK2_goals_X0 > sK1_goals_X1";
% 1.16/1.40  
% 1.16/1.40  let s2 = status F "
% 1.16/1.40  sK1_goals_X1 mul;
% 1.16/1.40  sK2_goals_X0 mul;
% 1.16/1.40  strong_iteration mul;
% 1.16/1.40  true mul;
% 1.16/1.40  leq mul;
% 1.16/1.40  star mul;
% 1.16/1.40  one mul;
% 1.16/1.40  multiplication mul;
% 1.16/1.40  zero mul;
% 1.16/1.40  addition mul;
% 1.16/1.40  ifeq mul;
% 1.16/1.40  ifeq2 mul;
% 1.16/1.40  ifeq3 mul;
% 1.16/1.40  ";
% 1.16/1.40  
% 1.16/1.40  let p2 = precedence F "
% 1.16/1.40  ifeq3 > ifeq2 > ifeq > multiplication > leq > star > strong_iteration > addition > zero = one = true = sK2_goals_X0 = sK1_goals_X1";
% 1.16/1.40  
% 1.16/1.40  let o_auto = AUTO Axioms;
% 1.16/1.40  
% 1.16/1.40  let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.16/1.40  
% 1.16/1.40  let Conjectures = equations F X " leq(multiplication(sK2_goals_X0,strong_iteration(multiplication(sK1_goals_X1,sK2_goals_X0))),multiplication(strong_iteration(multiplication(sK2_goals_X0,sK1_goals_X1)),sK2_goals_X0)) = true;"
% 1.16/1.40  ;
% 1.16/1.40  (*
% 1.16/1.40  let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.16/1.40  
% 1.16/1.40  let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% 1.16/1.40  *)
% 1.16/1.40  #time on;
% 1.16/1.40  
% 1.16/1.40  let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.16/1.40  
% 1.16/1.40  #time off;
% 1.16/1.40  
% 1.16/1.40  
% 1.16/1.40  let status = if res then "unsatisfiable" else "satisfiable";
% 1.16/1.40  #quit;
% 1.16/1.40  Verbose level is now 1
% 1.16/1.40  
% 1.16/1.40  F : signature = <signature>
% 1.16/1.40  X : variable_set = <variable set>
% 1.16/1.40  
% 1.16/1.40  Axioms : (F,X) equations = { multiplication(multiplication(A,B),C) =
% 1.16/1.40                               multiplication(A,multiplication(B,C)),
% 1.16/1.40                               ifeq3(A,A,B,C) = B,
% 1.16/1.40                               ifeq2(A,A,B,C) = B,
% 1.16/1.40                               ifeq(A,A,B,C) = B,
% 1.16/1.40                               zero addition A = A,
% 1.16/1.40                               A addition A = A,
% 1.16/1.40                               multiplication(A,one) = A,
% 1.16/1.40                               multiplication(one,A) = A,
% 1.16/1.40                               multiplication(A,B addition C) =
% 1.16/1.40                               multiplication(A,B) addition multiplication(A,C),
% 1.16/1.40                               multiplication(A addition B,C) =
% 1.16/1.40                               multiplication(A,C) addition multiplication(B,C),
% 1.16/1.40                               multiplication(zero,A) = zero,
% 1.16/1.40                               one addition multiplication(A,star(A)) = star(A),
% 1.16/1.40                               one addition multiplication(star(A),A) = star(A),
% 1.16/1.40                               ifeq(leq(multiplication(A,C) addition B,C),true,
% 1.16/1.40                               leq(multiplication(star(A),B),C),true) = true,
% 1.16/1.40                               ifeq(leq(multiplication(C,A) addition B,C),true,
% 1.16/1.40                               leq(multiplication(B,star(A)),C),true) = true,
% 1.16/1.42                               strong_iteration(A) =
% 1.16/1.42                               one addition multiplication(A,strong_iteration(A)),
% 1.16/1.42                               ifeq(leq(C,multiplication(A,C) addition B),true,
% 1.16/1.42                               leq(C,multiplication(strong_iteration(A),B)),true)
% 1.16/1.42                               = true,
% 1.16/1.42                               strong_iteration(A) =
% 1.16/1.42                               star(A) addition multiplication(strong_iteration(A),zero),
% 1.16/1.42                               ifeq2(leq(A,B),true,A addition B,B) = B,
% 1.16/1.42                               ifeq3(A addition B,B,leq(A,B),true) = true }
% 1.16/1.42                               (20 equation(s))
% 1.16/1.42  s1 : F status = <status>
% 1.16/1.42  p1 : F precedence = <precedence>
% 1.16/1.42  s2 : F status = <status>
% 1.16/1.42  p2 : F precedence = <precedence>
% 1.16/1.42  o_auto : F term_ordering = <term ordering>
% 1.16/1.42  o : F term_ordering = <term ordering>
% 1.16/1.42  Conjectures : (F,X) equations = { leq(multiplication(sK2_goals_X0,strong_iteration(
% 1.16/1.42                                                                    multiplication(sK1_goals_X1,sK2_goals_X0))),
% 1.16/1.42                                    multiplication(strong_iteration(multiplication(sK2_goals_X0,sK1_goals_X1)),sK2_goals_X0))
% 1.16/1.42                                    = true } (1 equation(s))
% 1.16/1.42  time is now on
% 1.16/1.42  
% 1.16/1.42  Initializing completion ...
% 1.16/1.42  New rule produced : [1] A addition A -> A
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 20
% 1.16/1.42  Current number of rules: 1
% 1.16/1.42  New rule produced : [2] zero addition A -> A
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 19
% 1.16/1.42  Current number of rules: 2
% 1.16/1.42  New rule produced : [3] multiplication(A,one) -> A
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 18
% 1.16/1.42  Current number of rules: 3
% 1.16/1.42  New rule produced : [4] multiplication(zero,A) -> zero
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 17
% 1.16/1.42  Current number of rules: 4
% 1.16/1.42  New rule produced : [5] multiplication(one,A) -> A
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 16
% 1.16/1.42  Current number of rules: 5
% 1.16/1.42  New rule produced : [6] ifeq(A,A,B,C) -> B
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 15
% 1.16/1.42  Current number of rules: 6
% 1.16/1.42  New rule produced : [7] ifeq2(A,A,B,C) -> B
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 14
% 1.16/1.42  Current number of rules: 7
% 1.16/1.42  New rule produced : [8] ifeq3(A,A,B,C) -> B
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 13
% 1.16/1.42  Current number of rules: 8
% 1.16/1.42  New rule produced : [9] one addition multiplication(A,star(A)) -> star(A)
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 12
% 1.16/1.42  Current number of rules: 9
% 1.16/1.42  New rule produced : [10] one addition multiplication(star(A),A) -> star(A)
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 11
% 1.16/1.42  Current number of rules: 10
% 1.16/1.42  New rule produced :
% 1.16/1.42  [11]
% 1.16/1.42  one addition multiplication(A,strong_iteration(A)) -> strong_iteration(A)
% 1.16/1.42  Current number of equations to process: 0
% 1.16/1.42  Current number of ordered equations: 10
% 1.16/1.42  Current number of rules: 11
% 1.16/1.42  New rule produced :
% 1.16/1.42  [12]
% 1.16/1.42  multiplication(A,multiplication(B,C)) <->
% 1.16/1.42  multiplication(multiplication(A,B),C)
% 1.16/1.42  Current number of equations to process: 24
% 1.16/1.42  Current number of ordered equations: 19
% 1.16/1.42  Current number of rules: 12
% 1.16/1.42  New rule produced :
% 1.16/1.42  [13]
% 1.16/1.42  multiplication(multiplication(A,B),C) <->
% 1.16/1.42  multiplication(A,multiplication(B,C))
% 1.16/1.42  Current number of equations to process: 24
% 1.16/1.42  Current number of ordered equations: 18
% 1.16/1.42  Current number of rules: 13
% 1.16/1.42  New rule produced :
% 1.16/1.42  [14]
% 1.16/1.42  star(A) addition multiplication(strong_iteration(A),zero) ->
% 1.16/1.42  strong_iteration(A)
% 1.16/1.42  Current number of equations to process: 24
% 1.16/1.42  Current number of ordered equations: 17
% 1.16/1.42  Current number of rules: 14
% 1.16/1.42  New rule produced : [15] ifeq3(A addition B,B,leq(A,B),true) -> true
% 1.16/1.42  Current number of equations to process: 24
% 1.16/1.42  Current number of ordered equations: 16
% 1.16/1.42  Current number of rules: 15
% 1.16/1.42  New rule produced :
% 1.16/1.42  [16]
% 1.16/1.42  multiplication(A,B addition C) ->
% 1.16/1.42  multiplication(A,B) addition multiplication(A,C)
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 15
% 1.20/1.46  Current number of rules: 16
% 1.20/1.46  New rule produced :
% 1.20/1.46  [17]
% 1.20/1.46  multiplication(A addition B,C) ->
% 1.20/1.46  multiplication(A,C) addition multiplication(B,C)
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 14
% 1.20/1.46  Current number of rules: 17
% 1.20/1.46  New rule produced : [18] ifeq2(leq(A,B),true,A addition B,B) -> B
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 13
% 1.20/1.46  Current number of rules: 18
% 1.20/1.46  New rule produced :
% 1.20/1.46  [19]
% 1.20/1.46  ifeq(leq(C,multiplication(A,C) addition B),true,leq(C,multiplication(
% 1.20/1.46                                                        strong_iteration(A),B)),true)
% 1.20/1.46  -> true
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 12
% 1.20/1.46  Current number of rules: 19
% 1.20/1.46  New rule produced :
% 1.20/1.46  [20]
% 1.20/1.46  ifeq(leq(multiplication(A,C) addition B,C),true,leq(multiplication(star(A),B),C),true)
% 1.20/1.46  -> true
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 11
% 1.20/1.46  Current number of rules: 20
% 1.20/1.46  New rule produced :
% 1.20/1.46  [21]
% 1.20/1.46  ifeq(leq(multiplication(C,A) addition B,C),true,leq(multiplication(B,star(A)),C),true)
% 1.20/1.46  -> true
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 10
% 1.20/1.46  Current number of rules: 21
% 1.20/1.46  New rule produced : [22] star(zero) -> one
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 8
% 1.20/1.46  Current number of rules: 22
% 1.20/1.46  New rule produced : [23] strong_iteration(zero) -> one
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 6
% 1.20/1.46  Current number of rules: 23
% 1.20/1.46  New rule produced : [24] one addition star(A) -> star(A)
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 2
% 1.20/1.46  Current number of rules: 24
% 1.20/1.46  New rule produced :
% 1.20/1.46  [25] one addition strong_iteration(A) -> strong_iteration(A)
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 25
% 1.20/1.46  New rule produced :
% 1.20/1.46  [26] multiplication(multiplication(A,zero),B) -> multiplication(A,zero)
% 1.20/1.46  Current number of equations to process: 25
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 26
% 1.20/1.46  New rule produced :
% 1.20/1.46  [27] strong_iteration(A) addition star(A) -> strong_iteration(A)
% 1.20/1.46  Current number of equations to process: 32
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 27
% 1.20/1.46  New rule produced :
% 1.20/1.46  [28] star(A) addition multiplication(A,star(A)) -> star(A)
% 1.20/1.46  Current number of equations to process: 30
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 28
% 1.20/1.46  New rule produced :
% 1.20/1.46  [29] star(A) addition multiplication(star(A),A) -> star(A)
% 1.20/1.46  Current number of equations to process: 27
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 29
% 1.20/1.46  New rule produced :
% 1.20/1.46  [30]
% 1.20/1.46  strong_iteration(A) addition multiplication(A,strong_iteration(A)) ->
% 1.20/1.46  strong_iteration(A)
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 30
% 1.20/1.46  New rule produced :
% 1.20/1.46  [31]
% 1.20/1.46  strong_iteration(A) addition multiplication(strong_iteration(A),zero) ->
% 1.20/1.46  strong_iteration(A)
% 1.20/1.46  Current number of equations to process: 22
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 31
% 1.20/1.46  New rule produced : [32] leq(A,A) -> true
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 32
% 1.20/1.46  New rule produced : [33] leq(A,A addition B) -> true
% 1.20/1.46  Current number of equations to process: 23
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 33
% 1.20/1.46  New rule produced : [34] leq(zero,A) -> true
% 1.20/1.46  Current number of equations to process: 24
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 34
% 1.20/1.46  New rule produced : [35] ifeq3(A,zero,leq(A,zero),true) -> true
% 1.20/1.46  Current number of equations to process: 23
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 35
% 1.20/1.46  New rule produced :
% 1.20/1.46  [36]
% 1.20/1.46  multiplication(A,zero) addition multiplication(A,B) -> multiplication(A,B)
% 1.20/1.46  Current number of equations to process: 68
% 1.20/1.46  Current number of ordered equations: 0
% 1.20/1.46  Current number of rules: 36
% 1.20/1.46  New rule produced : [37] ifeq2(leq(A,zero),true,A,zero) -> zero
% 1.20/1.46  Current number of equations to process: 90
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 37
% 1.20/1.47  New rule produced :
% 1.20/1.47  [38]
% 1.20/1.47  multiplication(A,multiplication(B,star(B))) addition A ->
% 1.20/1.47  multiplication(A,star(B))
% 1.20/1.47  Current number of equations to process: 121
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 38
% 1.20/1.47  New rule produced :
% 1.20/1.47  [39]
% 1.20/1.47  multiplication(A,multiplication(star(B),B)) addition A ->
% 1.20/1.47  multiplication(A,star(B))
% 1.20/1.47  Current number of equations to process: 120
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 39
% 1.20/1.47  New rule produced :
% 1.20/1.47  [40]
% 1.20/1.47  multiplication(A,multiplication(B,strong_iteration(B))) addition A ->
% 1.20/1.47  multiplication(A,strong_iteration(B))
% 1.20/1.47  Current number of equations to process: 119
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 40
% 1.20/1.47  New rule produced :
% 1.20/1.47  [41]
% 1.20/1.47  multiplication(multiplication(A,star(A)),B) addition B ->
% 1.20/1.47  multiplication(star(A),B)
% 1.20/1.47  Current number of equations to process: 118
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 41
% 1.20/1.47  New rule produced :
% 1.20/1.47  [42]
% 1.20/1.47  multiplication(multiplication(star(A),A),B) addition B ->
% 1.20/1.47  multiplication(star(A),B)
% 1.20/1.47  Current number of equations to process: 117
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 42
% 1.20/1.47  New rule produced :
% 1.20/1.47  [43]
% 1.20/1.47  multiplication(multiplication(A,strong_iteration(A)),B) addition B ->
% 1.20/1.47  multiplication(strong_iteration(A),B)
% 1.20/1.47  Current number of equations to process: 116
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 43
% 1.20/1.47  New rule produced :
% 1.20/1.47  [44]
% 1.20/1.47  star(A) addition multiplication(B,star(B)) <->
% 1.20/1.47  star(B) addition multiplication(A,star(A))
% 1.20/1.47  Current number of equations to process: 115
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 44
% 1.20/1.47  New rule produced :
% 1.20/1.47  [45]
% 1.20/1.47  star(A) addition multiplication(star(B),B) <->
% 1.20/1.47  star(B) addition multiplication(star(A),A)
% 1.20/1.47  Current number of equations to process: 114
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 45
% 1.20/1.47  New rule produced :
% 1.20/1.47  [46]
% 1.20/1.47  star(A) addition multiplication(star(B),B) <->
% 1.20/1.47  star(B) addition multiplication(A,star(A))
% 1.20/1.47  Current number of equations to process: 113
% 1.20/1.47  Current number of ordered equations: 1
% 1.20/1.47  Current number of rules: 46
% 1.20/1.47  New rule produced :
% 1.20/1.47  [47]
% 1.20/1.47  star(B) addition multiplication(A,star(A)) <->
% 1.20/1.47  star(A) addition multiplication(star(B),B)
% 1.20/1.47  Current number of equations to process: 113
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 47
% 1.20/1.47  New rule produced :
% 1.20/1.47  [48]
% 1.20/1.47  strong_iteration(A) addition multiplication(B,strong_iteration(B)) <->
% 1.20/1.47  strong_iteration(B) addition multiplication(A,strong_iteration(A))
% 1.20/1.47  Current number of equations to process: 112
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 48
% 1.20/1.47  New rule produced :
% 1.20/1.47  [49]
% 1.20/1.47  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.20/1.47  strong_iteration(B) addition multiplication(A,star(A))
% 1.20/1.47  Current number of equations to process: 111
% 1.20/1.47  Current number of ordered equations: 1
% 1.20/1.47  Current number of rules: 49
% 1.20/1.47  New rule produced :
% 1.20/1.47  [50]
% 1.20/1.47  strong_iteration(B) addition multiplication(A,star(A)) <->
% 1.20/1.47  star(A) addition multiplication(B,strong_iteration(B))
% 1.20/1.47  Current number of equations to process: 111
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 50
% 1.20/1.47  New rule produced :
% 1.20/1.47  [51]
% 1.20/1.47  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.20/1.47  strong_iteration(B) addition multiplication(star(A),A)
% 1.20/1.47  Current number of equations to process: 110
% 1.20/1.47  Current number of ordered equations: 1
% 1.20/1.47  Current number of rules: 51
% 1.20/1.47  New rule produced :
% 1.20/1.47  [52]
% 1.20/1.47  strong_iteration(B) addition multiplication(star(A),A) <->
% 1.20/1.47  star(A) addition multiplication(B,strong_iteration(B))
% 1.20/1.47  Current number of equations to process: 110
% 1.20/1.47  Current number of ordered equations: 0
% 1.20/1.47  Current number of rules: 52
% 1.20/1.47  New rule produced :
% 1.20/1.47  [53]
% 1.20/1.47  multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 1.20/1.47  multiplication(multiplication(A,B),multiplication(C,V_3))
% 1.20/1.47  Current number of equations to process: 109
% 1.20/1.47  Current number of ordered equations: 1
% 1.20/1.47  Current number of rules: 53
% 1.20/1.47  New rule produced :
% 1.20/1.47  [54]
% 1.20/1.47  multiplication(multiplication(A,B),multiplication(C,V_3)) <->
% 1.20/1.47  multiplication(A,multiplication(multiplication(B,C),V_3))
% 1.20/1.47  Current number of equations to process: 109
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 54
% 1.20/1.49  New rule produced :
% 1.20/1.49  [55]
% 1.20/1.49  multiplication(multiplication(A,multiplication(B,C)),V_3) <->
% 1.20/1.49  multiplication(multiplication(A,B),multiplication(C,V_3))
% 1.20/1.49  Current number of equations to process: 108
% 1.20/1.49  Current number of ordered equations: 1
% 1.20/1.49  Current number of rules: 55
% 1.20/1.49  New rule produced :
% 1.20/1.49  [56]
% 1.20/1.49  multiplication(multiplication(A,B),multiplication(C,V_3)) <->
% 1.20/1.49  multiplication(multiplication(A,multiplication(B,C)),V_3)
% 1.20/1.49  Current number of equations to process: 108
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 56
% 1.20/1.49  New rule produced :
% 1.20/1.49  [57]
% 1.20/1.49  multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 1.20/1.49  multiplication(multiplication(multiplication(A,B),C),V_3)
% 1.20/1.49  Current number of equations to process: 105
% 1.20/1.49  Current number of ordered equations: 5
% 1.20/1.49  Current number of rules: 57
% 1.20/1.49  New rule produced :
% 1.20/1.49  [58]
% 1.20/1.49  multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 1.20/1.49  multiplication(multiplication(A,multiplication(B,C)),V_3)
% 1.20/1.49  Current number of equations to process: 105
% 1.20/1.49  Current number of ordered equations: 4
% 1.20/1.49  Current number of rules: 58
% 1.20/1.49  New rule produced :
% 1.20/1.49  [59]
% 1.20/1.49  multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 1.20/1.49  multiplication(multiplication(multiplication(A,B),C),V_3)
% 1.20/1.49  Current number of equations to process: 105
% 1.20/1.49  Current number of ordered equations: 3
% 1.20/1.49  Current number of rules: 59
% 1.20/1.49  New rule produced :
% 1.20/1.49  [60]
% 1.20/1.49  multiplication(multiplication(A,multiplication(B,C)),V_3) <->
% 1.20/1.49  multiplication(A,multiplication(B,multiplication(C,V_3)))
% 1.20/1.49  Current number of equations to process: 105
% 1.20/1.49  Current number of ordered equations: 2
% 1.20/1.49  Current number of rules: 60
% 1.20/1.49  New rule produced :
% 1.20/1.49  [61]
% 1.20/1.49  multiplication(multiplication(multiplication(A,B),C),V_3) <->
% 1.20/1.49  multiplication(A,multiplication(multiplication(B,C),V_3))
% 1.20/1.49  Current number of equations to process: 105
% 1.20/1.49  Current number of ordered equations: 1
% 1.20/1.49  Current number of rules: 61
% 1.20/1.49  New rule produced :
% 1.20/1.49  [62]
% 1.20/1.49  multiplication(multiplication(multiplication(A,B),C),V_3) <->
% 1.20/1.49  multiplication(A,multiplication(B,multiplication(C,V_3)))
% 1.20/1.49  Current number of equations to process: 105
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 62
% 1.20/1.49  New rule produced :
% 1.20/1.49  [63]
% 1.20/1.49  multiplication(strong_iteration(A),zero) addition multiplication(star(A),B)
% 1.20/1.49  -> multiplication(strong_iteration(A),B)
% 1.20/1.49  Current number of equations to process: 100
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 63
% 1.20/1.49  New rule produced :
% 1.20/1.49  [64] ifeq3(A addition B,A,leq(A addition B,A),true) -> true
% 1.20/1.49  Current number of equations to process: 99
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 64
% 1.20/1.49  New rule produced :
% 1.20/1.49  [65] ifeq3(star(A),one,leq(multiplication(A,star(A)),one),true) -> true
% 1.20/1.49  Current number of equations to process: 98
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 65
% 1.20/1.49  New rule produced :
% 1.20/1.49  [66] ifeq3(star(A),one,leq(multiplication(star(A),A),one),true) -> true
% 1.20/1.49  Current number of equations to process: 97
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 66
% 1.20/1.49  New rule produced :
% 1.20/1.49  [67]
% 1.20/1.49  ifeq3(strong_iteration(A),one,leq(multiplication(A,strong_iteration(A)),one),true)
% 1.20/1.49  -> true
% 1.20/1.49  Current number of equations to process: 96
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 67
% 1.20/1.49  New rule produced : [68] ifeq2(leq(A addition B,A),true,A addition B,A) -> A
% 1.20/1.49  Current number of equations to process: 95
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 68
% 1.20/1.49  New rule produced :
% 1.20/1.49  [69] ifeq2(leq(multiplication(A,star(A)),one),true,star(A),one) -> one
% 1.20/1.49  Current number of equations to process: 94
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 69
% 1.20/1.49  New rule produced :
% 1.20/1.49  [70] ifeq2(leq(multiplication(star(A),A),one),true,star(A),one) -> one
% 1.20/1.49  Current number of equations to process: 93
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 70
% 1.20/1.49  New rule produced :
% 1.20/1.49  [71]
% 1.20/1.49  ifeq2(leq(multiplication(A,strong_iteration(A)),one),true,strong_iteration(A),one)
% 1.20/1.49  -> one
% 1.20/1.49  Current number of equations to process: 92
% 1.20/1.49  Current number of ordered equations: 0
% 1.20/1.49  Current number of rules: 71
% 1.20/1.49  New rule produced :
% 1.20/1.49  [72]
% 1.20/1.49  multiplication(A,star(B)) addition multiplication(A,multiplication(strong_iteration(B),zero))
% 1.20/1.51  -> multiplication(A,strong_iteration(B))
% 1.20/1.51  Current number of equations to process: 91
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 72
% 1.20/1.51  New rule produced :
% 1.20/1.51  [73]
% 1.20/1.51  ifeq3(strong_iteration(A),star(A),leq(multiplication(strong_iteration(A),zero),
% 1.20/1.51                                    star(A)),true) -> true
% 1.20/1.51  Current number of equations to process: 84
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 73
% 1.20/1.51  New rule produced :
% 1.20/1.51  [74]
% 1.20/1.51  ifeq2(leq(multiplication(strong_iteration(A),zero),star(A)),true,strong_iteration(A),
% 1.20/1.51  star(A)) -> star(A)
% 1.20/1.51  Current number of equations to process: 83
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 74
% 1.20/1.51  New rule produced :
% 1.20/1.51  [75]
% 1.20/1.51  ifeq3(star(A),multiplication(A,star(A)),leq(one,multiplication(A,star(A))),true)
% 1.20/1.51  -> true
% 1.20/1.51  Current number of equations to process: 82
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 75
% 1.20/1.51  New rule produced :
% 1.20/1.51  [76]
% 1.20/1.51  ifeq3(star(A),multiplication(star(A),A),leq(one,multiplication(star(A),A)),true)
% 1.20/1.51  -> true
% 1.20/1.51  Current number of equations to process: 81
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 76
% 1.20/1.51  New rule produced :
% 1.20/1.51  [77]
% 1.20/1.51  ifeq3(strong_iteration(A),multiplication(A,strong_iteration(A)),leq(one,
% 1.20/1.51                                                                  multiplication(A,
% 1.20/1.51                                                                  strong_iteration(A))),true)
% 1.20/1.51  -> true
% 1.20/1.51  Current number of equations to process: 80
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 77
% 1.20/1.51  New rule produced :
% 1.20/1.51  [78]
% 1.20/1.51  ifeq3(star(A) addition B,one,leq(multiplication(A,star(A)) addition B,one),true)
% 1.20/1.51  -> true
% 1.20/1.51  Current number of equations to process: 79
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 78
% 1.20/1.51  New rule produced :
% 1.20/1.51  [79]
% 1.20/1.51  ifeq3(star(A) addition B,one,leq(multiplication(star(A),A) addition B,one),true)
% 1.20/1.51  -> true
% 1.20/1.51  Current number of equations to process: 78
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 79
% 1.20/1.51  New rule produced :
% 1.20/1.51  [80]
% 1.20/1.51  ifeq3(strong_iteration(A) addition B,one,leq(multiplication(A,strong_iteration(A)) addition B,one),true)
% 1.20/1.51  -> true
% 1.20/1.51  Current number of equations to process: 77
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 80
% 1.20/1.51  New rule produced :
% 1.20/1.51  [81]
% 1.20/1.51  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),zero),leq(
% 1.20/1.51                                                                     star(A),
% 1.20/1.51                                                                     multiplication(
% 1.20/1.51                                                                     strong_iteration(A),zero)),true)
% 1.20/1.51  -> true
% 1.20/1.51  Current number of equations to process: 76
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 81
% 1.20/1.51  New rule produced :
% 1.20/1.51  [82]
% 1.20/1.51  ifeq2(leq(multiplication(A,star(A)) addition B,one),true,star(A) addition B,one)
% 1.20/1.51  -> one
% 1.20/1.51  Current number of equations to process: 75
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 82
% 1.20/1.51  New rule produced :
% 1.20/1.51  [83]
% 1.20/1.51  ifeq2(leq(multiplication(star(A),A) addition B,one),true,star(A) addition B,one)
% 1.20/1.51  -> one
% 1.20/1.51  Current number of equations to process: 74
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 83
% 1.20/1.51  New rule produced :
% 1.20/1.51  [84]
% 1.20/1.51  ifeq2(leq(multiplication(A,strong_iteration(A)) addition B,one),true,
% 1.20/1.51  strong_iteration(A) addition B,one) -> one
% 1.20/1.51  Current number of equations to process: 73
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 84
% 1.20/1.51  New rule produced :
% 1.20/1.51  [85]
% 1.20/1.51  ifeq2(leq(one,multiplication(A,star(A))),true,star(A),multiplication(A,
% 1.20/1.51                                                        star(A))) ->
% 1.20/1.51  multiplication(A,star(A))
% 1.20/1.51  Current number of equations to process: 66
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 85
% 1.20/1.51  New rule produced :
% 1.20/1.51  [86]
% 1.20/1.51  ifeq2(leq(one,multiplication(star(A),A)),true,star(A),multiplication(
% 1.20/1.51                                                        star(A),A)) ->
% 1.20/1.51  multiplication(star(A),A)
% 1.20/1.51  Current number of equations to process: 65
% 1.20/1.51  Current number of ordered equations: 0
% 1.20/1.51  Current number of rules: 86
% 1.20/1.51  New rule produced :
% 1.20/1.51  [87]
% 1.20/1.51  ifeq2(leq(one,multiplication(A,strong_iteration(A))),true,strong_iteration(A),
% 1.20/1.56  multiplication(A,strong_iteration(A))) ->
% 1.20/1.56  multiplication(A,strong_iteration(A))
% 1.20/1.56  Current number of equations to process: 64
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 87
% 1.20/1.56  New rule produced : [88] ifeq(leq(A,B),true,leq(A,B),true) -> true
% 1.20/1.56  Current number of equations to process: 69
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 88
% 1.20/1.56  New rule produced :
% 1.20/1.56  [89] leq(A,multiplication(strong_iteration(one),B)) -> true
% 1.20/1.56  Current number of equations to process: 69
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 89
% 1.20/1.56  New rule produced :
% 1.20/1.56  [90]
% 1.20/1.56  leq(star(A),strong_iteration(A) addition multiplication(strong_iteration(A),B))
% 1.20/1.56  -> true
% 1.20/1.56  Current number of equations to process: 69
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 90
% 1.20/1.56  New rule produced :
% 1.20/1.56  [91]
% 1.20/1.56  ifeq(leq(A,multiplication(B,A)),true,leq(A,multiplication(strong_iteration(B),zero)),true)
% 1.20/1.56  -> true
% 1.20/1.56  Current number of equations to process: 75
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 91
% 1.20/1.56  New rule produced :
% 1.20/1.56  [92]
% 1.20/1.56  ifeq(leq(A,one addition multiplication(B,A)),true,leq(A,strong_iteration(B)),true)
% 1.20/1.56  -> true
% 1.20/1.56  Current number of equations to process: 73
% 1.20/1.56  Current number of ordered equations: 1
% 1.20/1.56  Current number of rules: 92
% 1.20/1.56  New rule produced :
% 1.20/1.56  [93]
% 1.20/1.56  ifeq(leq(one,A addition B),true,leq(one,multiplication(strong_iteration(A),B)),true)
% 1.20/1.56  -> true
% 1.20/1.56  Current number of equations to process: 73
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 93
% 1.20/1.56  New rule produced :
% 1.20/1.56  [94]
% 1.20/1.56  ifeq(leq(multiplication(A,B),B),true,leq(multiplication(star(A),zero),B),true)
% 1.20/1.56  -> true
% 1.20/1.56  Current number of equations to process: 89
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 94
% 1.20/1.56  New rule produced :
% 1.20/1.56  [95]
% 1.20/1.56  ifeq(leq(one addition multiplication(A,B),B),true,leq(star(A),B),true) ->
% 1.20/1.56  true
% 1.20/1.56  Current number of equations to process: 87
% 1.20/1.56  Current number of ordered equations: 1
% 1.20/1.56  Current number of rules: 95
% 1.20/1.56  New rule produced :
% 1.20/1.56  [96]
% 1.20/1.56  ifeq(leq(A addition B,one),true,leq(multiplication(star(A),B),one),true) ->
% 1.20/1.56  true
% 1.20/1.56  Current number of equations to process: 87
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 96
% 1.20/1.56  New rule produced :
% 1.20/1.56  [97]
% 1.20/1.56  ifeq(leq(A addition B,A),true,leq(multiplication(star(one),B),A),true) ->
% 1.20/1.56  true
% 1.20/1.56  Current number of equations to process: 86
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 97
% 1.20/1.56  New rule produced :
% 1.20/1.56  [98]
% 1.20/1.56  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(strong_iteration(A)),
% 1.20/1.56                                              star(A)),zero),true) -> true
% 1.20/1.56  Current number of equations to process: 85
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 98
% 1.20/1.56  New rule produced :
% 1.20/1.56  [99] ifeq(leq(multiplication(A,B),A),true,true,true) -> true
% 1.20/1.56  Current number of equations to process: 87
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 99
% 1.20/1.56  New rule produced : [100] leq(star(A),strong_iteration(A)) -> true
% 1.20/1.56  Current number of equations to process: 98
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 100
% 1.20/1.56  New rule produced :
% 1.20/1.56  [101] ifeq(leq(A,zero),true,leq(multiplication(A,star(B)),zero),true) -> true
% 1.20/1.56  Current number of equations to process: 97
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 101
% 1.20/1.56  New rule produced :
% 1.20/1.56  [102]
% 1.20/1.56  ifeq(leq(A addition B,A),true,leq(multiplication(B,star(one)),A),true) ->
% 1.20/1.56  true
% 1.20/1.56  Current number of equations to process: 99
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 102
% 1.20/1.56  New rule produced :
% 1.20/1.56  [103]
% 1.20/1.56  ifeq(leq(A addition B,one),true,leq(multiplication(B,star(A)),one),true) ->
% 1.20/1.56  true
% 1.20/1.56  Current number of equations to process: 97
% 1.20/1.56  Current number of ordered equations: 1
% 1.20/1.56  Current number of rules: 103
% 1.20/1.56  New rule produced :
% 1.20/1.56  [104]
% 1.20/1.56  ifeq(leq(one addition multiplication(A,B),A),true,leq(star(B),A),true) ->
% 1.20/1.56  true
% 1.20/1.56  Current number of equations to process: 97
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 104
% 1.20/1.56  New rule produced : [105] leq(one,star(A)) -> true
% 1.20/1.56  Current number of equations to process: 111
% 1.20/1.56  Current number of ordered equations: 0
% 1.20/1.56  Current number of rules: 105
% 1.20/1.56  New rule produced : [106] leq(one,star(A) addition B) -> true
% 1.20/1.56  Current number of equations to process: 110
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 106
% 1.20/1.60  New rule produced :
% 1.20/1.60  [107] multiplication(A,star(B)) addition A -> multiplication(A,star(B))
% 1.20/1.60  Current number of equations to process: 121
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 107
% 1.20/1.60  New rule produced :
% 1.20/1.60  [108] multiplication(star(A),B) addition B -> multiplication(star(A),B)
% 1.20/1.60  Current number of equations to process: 120
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 108
% 1.20/1.60  Rule [46]
% 1.20/1.60       star(A) addition multiplication(star(B),B) <->
% 1.20/1.60       star(B) addition multiplication(A,star(A)) is composed into [46]
% 1.20/1.60                                                                   star(A) addition 
% 1.20/1.60                                                                   multiplication(
% 1.20/1.60                                                                   star(B),B)
% 1.20/1.60                                                                   ->
% 1.20/1.60                                                                   star(A) addition 
% 1.20/1.60                                                                   star(B)
% 1.20/1.60  New rule produced :
% 1.20/1.60  [109] star(B) addition multiplication(A,star(A)) -> star(A) addition star(B)
% 1.20/1.60  Rule [28] star(A) addition multiplication(A,star(A)) -> star(A) collapsed.
% 1.20/1.60  Rule
% 1.20/1.60  [44]
% 1.20/1.60  star(A) addition multiplication(B,star(B)) <->
% 1.20/1.60  star(B) addition multiplication(A,star(A)) collapsed.
% 1.20/1.60  Rule
% 1.20/1.60  [47]
% 1.20/1.60  star(B) addition multiplication(A,star(A)) <->
% 1.20/1.60  star(A) addition multiplication(star(B),B) collapsed.
% 1.20/1.60  Current number of equations to process: 119
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 106
% 1.20/1.60  Rule [52]
% 1.20/1.60       strong_iteration(B) addition multiplication(star(A),A) <->
% 1.20/1.60       star(A) addition multiplication(B,strong_iteration(B)) is composed into 
% 1.20/1.60  [52]
% 1.20/1.60  strong_iteration(B) addition multiplication(star(A),A) ->
% 1.20/1.60  strong_iteration(B) addition star(A)
% 1.20/1.60  Rule [50]
% 1.20/1.60       strong_iteration(B) addition multiplication(A,star(A)) <->
% 1.20/1.60       star(A) addition multiplication(B,strong_iteration(B)) is composed into 
% 1.20/1.60  [50]
% 1.20/1.60  strong_iteration(B) addition multiplication(A,star(A)) ->
% 1.20/1.60  strong_iteration(B) addition star(A)
% 1.20/1.60  New rule produced :
% 1.20/1.60  [110]
% 1.20/1.60  star(B) addition multiplication(A,strong_iteration(A)) ->
% 1.20/1.60  strong_iteration(A) addition star(B)
% 1.20/1.60  Rule
% 1.20/1.60  [49]
% 1.20/1.60  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.20/1.60  strong_iteration(B) addition multiplication(A,star(A)) collapsed.
% 1.20/1.60  Rule
% 1.20/1.60  [51]
% 1.20/1.60  star(A) addition multiplication(B,strong_iteration(B)) <->
% 1.20/1.60  strong_iteration(B) addition multiplication(star(A),A) collapsed.
% 1.20/1.60  Current number of equations to process: 117
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 105
% 1.20/1.60  New rule produced : [111] ifeq3(star(A),one,leq(star(A),one),true) -> true
% 1.20/1.60  Current number of equations to process: 116
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 106
% 1.20/1.60  New rule produced : [112] ifeq2(leq(star(A),one),true,star(A),one) -> one
% 1.20/1.60  Current number of equations to process: 115
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 107
% 1.20/1.60  New rule produced : [113] leq(one,strong_iteration(A)) -> true
% 1.20/1.60  Current number of equations to process: 124
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 108
% 1.20/1.60  New rule produced : [114] leq(one,strong_iteration(A) addition B) -> true
% 1.20/1.60  Current number of equations to process: 123
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 109
% 1.20/1.60  New rule produced :
% 1.20/1.60  [115]
% 1.20/1.60  multiplication(A,strong_iteration(B)) addition A ->
% 1.20/1.60  multiplication(A,strong_iteration(B))
% 1.20/1.60  Current number of equations to process: 134
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 110
% 1.20/1.60  New rule produced :
% 1.20/1.60  [116]
% 1.20/1.60  multiplication(strong_iteration(A),B) addition B ->
% 1.20/1.60  multiplication(strong_iteration(A),B)
% 1.20/1.60  Current number of equations to process: 133
% 1.20/1.60  Current number of ordered equations: 0
% 1.20/1.60  Current number of rules: 111
% 1.20/1.60  New rule produced :
% 1.20/1.60  [117]
% 1.20/1.60  strong_iteration(B) addition multiplication(A,strong_iteration(A)) ->
% 1.20/1.60  strong_iteration(A) addition strong_iteration(B)
% 1.20/1.60  Rule
% 1.20/1.60  [30]
% 1.20/1.60  strong_iteration(A) addition multiplication(A,strong_iteration(A)) ->
% 1.20/1.60  strong_iteration(A) collapsed.
% 1.20/1.60  Rule
% 1.20/1.60  [48]
% 1.20/1.60  strong_iteration(A) addition multiplication(B,strong_iteration(B)) <->
% 1.48/1.69  strong_iteration(B) addition multiplication(A,strong_iteration(A)) collapsed.
% 1.48/1.69  Current number of equations to process: 132
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 110
% 1.48/1.69  New rule produced :
% 1.48/1.69  [118]
% 1.48/1.69  ifeq3(strong_iteration(A),one,leq(strong_iteration(A),one),true) -> true
% 1.48/1.69  Current number of equations to process: 131
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 111
% 1.48/1.69  New rule produced :
% 1.48/1.69  [119] ifeq2(leq(strong_iteration(A),one),true,strong_iteration(A),one) -> one
% 1.48/1.69  Current number of equations to process: 130
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 112
% 1.48/1.69  New rule produced :
% 1.48/1.69  [120] star(multiplication(A,zero)) -> one addition multiplication(A,zero)
% 1.48/1.69  Current number of equations to process: 135
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 113
% 1.48/1.69  New rule produced :
% 1.48/1.69  [121]
% 1.48/1.69  strong_iteration(multiplication(A,zero)) ->
% 1.48/1.69  one addition multiplication(A,zero)
% 1.48/1.69  Current number of equations to process: 134
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 114
% 1.48/1.69  New rule produced :
% 1.48/1.69  [122]
% 1.48/1.69  multiplication(multiplication(A,multiplication(B,zero)),C) ->
% 1.48/1.69  multiplication(A,multiplication(B,zero))
% 1.48/1.69  Current number of equations to process: 133
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 115
% 1.48/1.69  New rule produced : [123] leq(star(A),strong_iteration(A) addition B) -> true
% 1.48/1.69  Rule
% 1.48/1.69  [90]
% 1.48/1.69  leq(star(A),strong_iteration(A) addition multiplication(strong_iteration(A),B))
% 1.48/1.69  -> true collapsed.
% 1.48/1.69  Current number of equations to process: 138
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 115
% 1.48/1.69  New rule produced :
% 1.48/1.69  [124]
% 1.48/1.69  multiplication(A,strong_iteration(B)) addition multiplication(A,star(B)) ->
% 1.48/1.69  multiplication(A,strong_iteration(B))
% 1.48/1.69  Current number of equations to process: 149
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 116
% 1.48/1.69  New rule produced :
% 1.48/1.69  [125]
% 1.48/1.69  multiplication(strong_iteration(A),B) addition multiplication(star(A),B) ->
% 1.48/1.69  multiplication(strong_iteration(A),B)
% 1.48/1.69  Current number of equations to process: 148
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 117
% 1.48/1.69  New rule produced : [126] leq(multiplication(star(A),A),star(A)) -> true
% 1.48/1.69  Current number of equations to process: 155
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 118
% 1.48/1.69  New rule produced :
% 1.48/1.69  [127] leq(multiplication(star(A),A),star(A) addition B) -> true
% 1.48/1.69  Current number of equations to process: 169
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 119
% 1.48/1.69  New rule produced :
% 1.48/1.69  [128]
% 1.48/1.69  ifeq3(strong_iteration(A),star(A),leq(strong_iteration(A),star(A)),true) ->
% 1.48/1.69  true
% 1.48/1.69  Current number of equations to process: 168
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 120
% 1.48/1.69  New rule produced :
% 1.48/1.69  [129]
% 1.48/1.69  ifeq2(leq(strong_iteration(A),star(A)),true,strong_iteration(A),star(A)) ->
% 1.48/1.69  star(A)
% 1.48/1.69  Current number of equations to process: 167
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 121
% 1.48/1.69  New rule produced :
% 1.48/1.69  [130] leq(multiplication(star(A),star(A)),star(A)) -> true
% 1.48/1.69  Current number of equations to process: 169
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 122
% 1.48/1.69  New rule produced :
% 1.48/1.69  [131]
% 1.48/1.69  leq(multiplication(strong_iteration(A),zero),strong_iteration(A)) -> true
% 1.48/1.69  Current number of equations to process: 176
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 123
% 1.48/1.69  New rule produced :
% 1.48/1.69  [132]
% 1.48/1.69  leq(multiplication(strong_iteration(A),zero),strong_iteration(A) addition B)
% 1.48/1.69  -> true
% 1.48/1.69  Current number of equations to process: 185
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 124
% 1.48/1.69  New rule produced : [133] leq(multiplication(A,star(A)),star(A)) -> true
% 1.48/1.69  Current number of equations to process: 206
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 125
% 1.48/1.69  New rule produced :
% 1.48/1.69  [134] leq(multiplication(A,strong_iteration(A)),strong_iteration(A)) -> true
% 1.48/1.69  Current number of equations to process: 205
% 1.48/1.69  Current number of ordered equations: 0
% 1.48/1.69  Current number of rules: 126
% 1.48/1.69  New rule produced : [135] leq(one addition A,star(B) addition A) -> true
% 1.48/1.69  Current number of equations to process: 204
% 1.48/1.69  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 127
% 1.55/1.76  New rule produced :
% 1.55/1.76  [136] leq(one addition A,strong_iteration(B) addition A) -> true
% 1.55/1.76  Current number of equations to process: 203
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 128
% 1.55/1.76  New rule produced :
% 1.55/1.76  [137] leq(multiplication(A,star(A)),star(A) addition B) -> true
% 1.55/1.76  Current number of equations to process: 202
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 129
% 1.55/1.76  New rule produced :
% 1.55/1.76  [138]
% 1.55/1.76  leq(multiplication(A,strong_iteration(A)),strong_iteration(A) addition B) ->
% 1.55/1.76  true
% 1.55/1.76  Current number of equations to process: 201
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 130
% 1.55/1.76  New rule produced :
% 1.55/1.76  [139] leq(star(A) addition B,strong_iteration(A) addition B) -> true
% 1.55/1.76  Current number of equations to process: 200
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 131
% 1.55/1.76  New rule produced :
% 1.55/1.76  [140] leq(one addition A,star(B) addition A addition C) -> true
% 1.55/1.76  Current number of equations to process: 199
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 132
% 1.55/1.76  New rule produced :
% 1.55/1.76  [141] leq(one addition A,strong_iteration(B) addition A addition C) -> true
% 1.55/1.76  Current number of equations to process: 198
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 133
% 1.55/1.76  New rule produced :
% 1.55/1.76  [142] leq(A,multiplication(strong_iteration(B),A)) -> true
% 1.55/1.76  Current number of equations to process: 198
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 134
% 1.55/1.76  New rule produced :
% 1.55/1.76  [143] leq(multiplication(A,star(A)) addition B,star(A) addition B) -> true
% 1.55/1.76  Current number of equations to process: 202
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 135
% 1.55/1.76  New rule produced :
% 1.55/1.76  [144] leq(multiplication(star(A),A) addition B,star(A) addition B) -> true
% 1.55/1.76  Current number of equations to process: 201
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 136
% 1.55/1.76  New rule produced :
% 1.55/1.76  [145]
% 1.55/1.76  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition B)
% 1.55/1.76  -> true
% 1.55/1.76  Current number of equations to process: 200
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 137
% 1.55/1.76  New rule produced :
% 1.55/1.76  [146]
% 1.55/1.76  leq(star(A) addition B,strong_iteration(A) addition B addition C) -> true
% 1.55/1.76  Current number of equations to process: 198
% 1.55/1.76  Current number of ordered equations: 1
% 1.55/1.76  Current number of rules: 138
% 1.55/1.76  New rule produced :
% 1.55/1.76  [147]
% 1.55/1.76  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B)
% 1.55/1.76  -> true
% 1.55/1.76  Current number of equations to process: 198
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 139
% 1.55/1.76  New rule produced : [148] multiplication(A,zero) addition A -> A
% 1.55/1.76  Rule
% 1.55/1.76  [31]
% 1.55/1.76  strong_iteration(A) addition multiplication(strong_iteration(A),zero) ->
% 1.55/1.76  strong_iteration(A) collapsed.
% 1.55/1.76  Current number of equations to process: 196
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 139
% 1.55/1.76  New rule produced : [149] star(A) addition multiplication(A,zero) -> star(A)
% 1.55/1.76  Current number of equations to process: 197
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 140
% 1.55/1.76  New rule produced :
% 1.55/1.76  [150]
% 1.55/1.76  strong_iteration(A) addition multiplication(A,zero) -> strong_iteration(A)
% 1.55/1.76  Current number of equations to process: 198
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 141
% 1.55/1.76  New rule produced :
% 1.55/1.76  [151] leq(multiplication(A,zero),multiplication(A,B)) -> true
% 1.55/1.76  Current number of equations to process: 212
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 142
% 1.55/1.76  New rule produced :
% 1.55/1.76  [152] leq(multiplication(A,zero),multiplication(A,B) addition C) -> true
% 1.55/1.76  Current number of equations to process: 224
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 143
% 1.55/1.76  New rule produced :
% 1.55/1.76  [153]
% 1.55/1.76  star(A) addition multiplication(strong_iteration(A),B) ->
% 1.55/1.76  strong_iteration(A) addition multiplication(strong_iteration(A),B)
% 1.55/1.76  Rule
% 1.55/1.76  [14]
% 1.55/1.76  star(A) addition multiplication(strong_iteration(A),zero) ->
% 1.55/1.76  strong_iteration(A) collapsed.
% 1.55/1.76  Current number of equations to process: 221
% 1.55/1.76  Current number of ordered equations: 0
% 1.55/1.76  Current number of rules: 143
% 1.55/1.76  New rule produced :
% 1.55/1.76  [154]
% 1.55/1.76  multiplication(multiplication(A,B),C) addition multiplication(A,zero) <->
% 1.74/1.94  multiplication(A,multiplication(B,C))
% 1.74/1.94  Current number of equations to process: 220
% 1.74/1.94  Current number of ordered equations: 1
% 1.74/1.94  Current number of rules: 144
% 1.74/1.94  New rule produced :
% 1.74/1.94  [155]
% 1.74/1.94  multiplication(A,multiplication(B,C)) <->
% 1.74/1.94  multiplication(multiplication(A,B),C) addition multiplication(A,zero)
% 1.74/1.94  Current number of equations to process: 220
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 145
% 1.74/1.94  Rule [155]
% 1.74/1.94       multiplication(A,multiplication(B,C)) <->
% 1.74/1.94       multiplication(multiplication(A,B),C) addition multiplication(A,zero) is composed into 
% 1.74/1.94  [155]
% 1.74/1.94  multiplication(A,multiplication(B,C)) <->
% 1.74/1.94  multiplication(multiplication(A,B),C)
% 1.74/1.94  New rule produced :
% 1.74/1.94  [156]
% 1.74/1.94  multiplication(multiplication(A,B),C) addition multiplication(A,zero) ->
% 1.74/1.94  multiplication(multiplication(A,B),C)
% 1.74/1.94  Rule
% 1.74/1.94  [154]
% 1.74/1.94  multiplication(multiplication(A,B),C) addition multiplication(A,zero) <->
% 1.74/1.94  multiplication(A,multiplication(B,C)) collapsed.
% 1.74/1.94  Current number of equations to process: 219
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 145
% 1.74/1.94  New rule produced :
% 1.74/1.94  [157]
% 1.74/1.94  leq(multiplication(A,zero) addition B,multiplication(A,C) addition B) -> true
% 1.74/1.94  Current number of equations to process: 223
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 146
% 1.74/1.94  New rule produced :
% 1.74/1.94  [158]
% 1.74/1.94  multiplication(multiplication(A,B),star(B)) addition A ->
% 1.74/1.94  multiplication(A,star(B))
% 1.74/1.94  Current number of equations to process: 260
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 147
% 1.74/1.94  New rule produced :
% 1.74/1.94  [159]
% 1.74/1.94  one addition multiplication(star(multiplication(A,star(A))),star(A)) ->
% 1.74/1.94  star(multiplication(A,star(A)))
% 1.74/1.94  Current number of equations to process: 255
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 148
% 1.74/1.94  New rule produced :
% 1.74/1.94  [160]
% 1.74/1.94  multiplication(A,star(B)) addition multiplication(A,multiplication(star(B),B))
% 1.74/1.94  -> multiplication(A,star(B))
% 1.74/1.94  Current number of equations to process: 254
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 149
% 1.74/1.94  New rule produced :
% 1.74/1.94  [161]
% 1.74/1.94  multiplication(star(A),B) addition multiplication(multiplication(star(A),A),B)
% 1.74/1.94  -> multiplication(star(A),B)
% 1.74/1.94  Current number of equations to process: 253
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 150
% 1.74/1.94  New rule produced :
% 1.74/1.94  [162]
% 1.74/1.94  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(
% 1.74/1.94                                                                  strong_iteration(B),zero))
% 1.74/1.94  -> multiplication(A,strong_iteration(B))
% 1.74/1.94  Current number of equations to process: 252
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 151
% 1.74/1.94  New rule produced :
% 1.74/1.94  [163]
% 1.74/1.94  multiplication(A,star(B)) addition multiplication(A,multiplication(B,star(B)))
% 1.74/1.94  -> multiplication(A,star(B))
% 1.74/1.94  Current number of equations to process: 251
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 152
% 1.74/1.94  New rule produced : [164] leq(A,multiplication(A,star(B))) -> true
% 1.74/1.94  Current number of equations to process: 274
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 153
% 1.74/1.94  New rule produced : [165] leq(A,multiplication(A,star(B)) addition C) -> true
% 1.74/1.94  Current number of equations to process: 273
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 154
% 1.74/1.94  New rule produced :
% 1.74/1.94  [166]
% 1.74/1.94  one addition multiplication(star(A),star(B)) ->
% 1.74/1.94  multiplication(star(A),star(B))
% 1.74/1.94  Rule
% 1.74/1.94  [159]
% 1.74/1.94  one addition multiplication(star(multiplication(A,star(A))),star(A)) ->
% 1.74/1.94  star(multiplication(A,star(A))) collapsed.
% 1.74/1.94  Current number of equations to process: 272
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 154
% 1.74/1.94  New rule produced :
% 1.74/1.94  [167]
% 1.74/1.94  one addition multiplication(strong_iteration(A),star(B)) ->
% 1.74/1.94  multiplication(strong_iteration(A),star(B))
% 1.74/1.94  Current number of equations to process: 271
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 155
% 1.74/1.94  New rule produced :
% 1.74/1.94  [168]
% 1.74/1.94  multiplication(multiplication(A,star(B)),B) addition A ->
% 1.74/1.94  multiplication(A,star(B))
% 1.74/1.94  Current number of equations to process: 310
% 1.74/1.94  Current number of ordered equations: 0
% 1.74/1.94  Current number of rules: 156
% 1.74/1.94  New rule produced :
% 1.74/1.94  [169]
% 1.74/1.94  multiplication(star(multiplication(A,star(A))),star(A)) ->
% 1.74/1.94  star(multiplication(A,star(A)))
% 1.95/2.22  Current number of equations to process: 309
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 157
% 1.95/2.22  New rule produced :
% 1.95/2.22  [170] leq(A addition B,multiplication(A,star(C)) addition B) -> true
% 1.95/2.22  Current number of equations to process: 308
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 158
% 1.95/2.22  New rule produced :
% 1.95/2.22  [171]
% 1.95/2.22  multiplication(star(multiplication(star(A),A)),star(A)) ->
% 1.95/2.22  star(multiplication(star(A),A))
% 1.95/2.22  Current number of equations to process: 307
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 159
% 1.95/2.22  New rule produced :
% 1.95/2.22  [172]
% 1.95/2.22  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,star(B))) ->
% 1.95/2.22  true
% 1.95/2.22  Current number of equations to process: 306
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 160
% 1.95/2.22  New rule produced :
% 1.95/2.22  [173]
% 1.95/2.22  multiplication(star(A),star(B)) addition multiplication(star(A),A) ->
% 1.95/2.22  multiplication(star(A),star(B))
% 1.95/2.22  Current number of equations to process: 303
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 161
% 1.95/2.22  New rule produced :
% 1.95/2.22  [174]
% 1.95/2.22  leq(A addition B,multiplication(A,star(C)) addition B addition V_3) -> true
% 1.95/2.22  Current number of equations to process: 302
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 162
% 1.95/2.22  New rule produced :
% 1.95/2.22  [175]
% 1.95/2.22  multiplication(multiplication(A,B),strong_iteration(B)) addition A ->
% 1.95/2.22  multiplication(A,strong_iteration(B))
% 1.95/2.22  Current number of equations to process: 361
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 163
% 1.95/2.22  New rule produced :
% 1.95/2.22  [176]
% 1.95/2.22  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,star(B))) ->
% 1.95/2.22  true
% 1.95/2.22  Current number of equations to process: 360
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 164
% 1.95/2.22  New rule produced :
% 1.95/2.22  [177]
% 1.95/2.22  one addition multiplication(star(multiplication(A,strong_iteration(A))),
% 1.95/2.22               strong_iteration(A)) ->
% 1.95/2.22  star(multiplication(A,strong_iteration(A)))
% 1.95/2.22  Current number of equations to process: 359
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 165
% 1.95/2.22  New rule produced :
% 1.95/2.22  [178]
% 1.95/2.22  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(B,
% 1.95/2.22                                                                  strong_iteration(B)))
% 1.95/2.22  -> multiplication(A,strong_iteration(B))
% 1.95/2.22  Current number of equations to process: 358
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 166
% 1.95/2.22  New rule produced :
% 1.95/2.22  [179] leq(A,multiplication(A,strong_iteration(B))) -> true
% 1.95/2.22  Current number of equations to process: 381
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 167
% 1.95/2.22  New rule produced :
% 1.95/2.22  [180] leq(A,multiplication(A,strong_iteration(B)) addition C) -> true
% 1.95/2.22  Current number of equations to process: 380
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 168
% 1.95/2.22  New rule produced :
% 1.95/2.22  [181]
% 1.95/2.22  one addition multiplication(star(A),strong_iteration(B)) ->
% 1.95/2.22  multiplication(star(A),strong_iteration(B))
% 1.95/2.22  Rule
% 1.95/2.22  [177]
% 1.95/2.22  one addition multiplication(star(multiplication(A,strong_iteration(A))),
% 1.95/2.22               strong_iteration(A)) ->
% 1.95/2.22  star(multiplication(A,strong_iteration(A))) collapsed.
% 1.95/2.22  Current number of equations to process: 379
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 168
% 1.95/2.22  New rule produced :
% 1.95/2.22  [182]
% 1.95/2.22  one addition multiplication(strong_iteration(A),strong_iteration(B)) ->
% 1.95/2.22  multiplication(strong_iteration(A),strong_iteration(B))
% 1.95/2.22  Current number of equations to process: 378
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 169
% 1.95/2.22  New rule produced :
% 1.95/2.22  [183]
% 1.95/2.22  multiplication(multiplication(A,star(A)),zero) ->
% 1.95/2.22  multiplication(star(A),zero)
% 1.95/2.22  Current number of equations to process: 397
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 170
% 1.95/2.22  New rule produced :
% 1.95/2.22  [184]
% 1.95/2.22  multiplication(A,multiplication(star(A),B)) addition B ->
% 1.95/2.22  multiplication(star(A),B)
% 1.95/2.22  Current number of equations to process: 434
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 171
% 1.95/2.22  New rule produced :
% 1.95/2.22  [185]
% 1.95/2.22  multiplication(star(multiplication(A,strong_iteration(A))),strong_iteration(A))
% 1.95/2.22  -> star(multiplication(A,strong_iteration(A)))
% 1.95/2.22  Current number of equations to process: 433
% 1.95/2.22  Current number of ordered equations: 0
% 1.95/2.22  Current number of rules: 172
% 2.13/2.42  New rule produced :
% 2.13/2.42  [186]
% 2.13/2.42  leq(A addition B,multiplication(A,strong_iteration(C)) addition B) -> true
% 2.13/2.42  Current number of equations to process: 432
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 173
% 2.13/2.42  New rule produced :
% 2.13/2.42  [187]
% 2.13/2.42  multiplication(star(A),star(multiplication(A,star(A)))) ->
% 2.13/2.42  star(multiplication(A,star(A)))
% 2.13/2.42  Current number of equations to process: 431
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 174
% 2.13/2.42  New rule produced :
% 2.13/2.42  [188]
% 2.13/2.42  multiplication(star(A),strong_iteration(multiplication(A,star(A)))) ->
% 2.13/2.42  strong_iteration(multiplication(A,star(A)))
% 2.13/2.42  Current number of equations to process: 430
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 175
% 2.13/2.42  New rule produced :
% 2.13/2.42  [189]
% 2.13/2.42  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(A,
% 2.13/2.42                                                              strong_iteration(B)))
% 2.13/2.42  -> true
% 2.13/2.42  Current number of equations to process: 428
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 176
% 2.13/2.42  New rule produced :
% 2.13/2.42  [190]
% 2.13/2.42  multiplication(star(A),strong_iteration(B)) addition multiplication(star(A),A)
% 2.13/2.42  -> multiplication(star(A),strong_iteration(B))
% 2.13/2.42  Current number of equations to process: 425
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 177
% 2.13/2.42  New rule produced :
% 2.13/2.42  [191]
% 2.13/2.42  leq(A addition B,multiplication(A,strong_iteration(C)) addition B addition V_3)
% 2.13/2.42  -> true
% 2.13/2.42  Current number of equations to process: 424
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 178
% 2.13/2.42  New rule produced :
% 2.13/2.42  [192]
% 2.13/2.42  multiplication(star(A),B) addition multiplication(multiplication(A,star(A)),B)
% 2.13/2.42  -> multiplication(star(A),B)
% 2.13/2.42  Current number of equations to process: 423
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 179
% 2.13/2.42  New rule produced : [193] leq(A,multiplication(star(B),A)) -> true
% 2.13/2.42  Current number of equations to process: 440
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 180
% 2.13/2.42  New rule produced : [194] leq(A,multiplication(star(B),A) addition C) -> true
% 2.13/2.42  Current number of equations to process: 439
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 181
% 2.13/2.42  New rule produced :
% 2.13/2.42  [195]
% 2.13/2.42  multiplication(star(A),multiplication(A,B)) addition B ->
% 2.13/2.42  multiplication(star(A),B)
% 2.13/2.42  Current number of equations to process: 512
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 182
% 2.13/2.42  New rule produced :
% 2.13/2.42  [196]
% 2.13/2.42  star(B) addition multiplication(star(A),strong_iteration(B)) ->
% 2.13/2.42  multiplication(star(A),strong_iteration(B))
% 2.13/2.42  Current number of equations to process: 511
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 183
% 2.13/2.42  New rule produced :
% 2.13/2.42  [197] leq(A addition B,multiplication(star(C),A) addition B) -> true
% 2.13/2.42  Current number of equations to process: 510
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 184
% 2.13/2.42  New rule produced :
% 2.13/2.42  [198]
% 2.13/2.42  multiplication(star(A),multiplication(A,star(A))) <->
% 2.13/2.42  multiplication(multiplication(A,star(A)),star(A))
% 2.13/2.42  Current number of equations to process: 509
% 2.13/2.42  Current number of ordered equations: 1
% 2.13/2.42  Current number of rules: 185
% 2.13/2.42  New rule produced :
% 2.13/2.42  [199]
% 2.13/2.42  multiplication(multiplication(A,star(A)),star(A)) <->
% 2.13/2.42  multiplication(star(A),multiplication(A,star(A)))
% 2.13/2.42  Current number of equations to process: 509
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 186
% 2.13/2.42  New rule produced :
% 2.13/2.42  [200]
% 2.13/2.42  multiplication(star(A),star(multiplication(star(A),A))) ->
% 2.13/2.42  star(multiplication(star(A),A))
% 2.13/2.42  Current number of equations to process: 508
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 187
% 2.13/2.42  New rule produced :
% 2.13/2.42  [201]
% 2.13/2.42  multiplication(star(A),strong_iteration(multiplication(star(A),A))) ->
% 2.13/2.42  strong_iteration(multiplication(star(A),A))
% 2.13/2.42  Current number of equations to process: 507
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 188
% 2.13/2.42  New rule produced :
% 2.13/2.42  [202]
% 2.13/2.42  leq(multiplication(multiplication(A,star(A)),B),multiplication(star(A),B)) ->
% 2.13/2.42  true
% 2.13/2.42  Current number of equations to process: 506
% 2.13/2.42  Current number of ordered equations: 0
% 2.13/2.42  Current number of rules: 189
% 2.13/2.42  New rule produced :
% 2.13/2.42  [203]
% 2.13/2.42  multiplication(star(A),star(B)) addition multiplication(star(B),B) ->
% 2.13/2.42  multiplication(star(A),star(B))
% 2.53/2.80  Current number of equations to process: 505
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 190
% 2.53/2.80  New rule produced :
% 2.53/2.80  [204]
% 2.53/2.80  leq(A addition B,multiplication(star(C),A) addition B addition V_3) -> true
% 2.53/2.80  Current number of equations to process: 504
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 191
% 2.53/2.80  New rule produced :
% 2.53/2.80  [205]
% 2.53/2.80  multiplication(star(A),multiplication(B,C)) addition multiplication(B,zero)
% 2.53/2.80  -> multiplication(star(A),multiplication(B,C))
% 2.53/2.80  Current number of equations to process: 503
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 192
% 2.53/2.80  New rule produced :
% 2.53/2.80  [206]
% 2.53/2.80  multiplication(multiplication(A,strong_iteration(A)),zero) ->
% 2.53/2.80  multiplication(strong_iteration(A),zero)
% 2.53/2.80  Current number of equations to process: 556
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 193
% 2.53/2.80  New rule produced :
% 2.53/2.80  [207]
% 2.53/2.80  multiplication(A,multiplication(strong_iteration(A),B)) addition B ->
% 2.53/2.80  multiplication(strong_iteration(A),B)
% 2.53/2.80  Current number of equations to process: 593
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 194
% 2.53/2.80  New rule produced :
% 2.53/2.80  [208]
% 2.53/2.80  multiplication(star(A),multiplication(star(A),A)) <->
% 2.53/2.80  multiplication(multiplication(star(A),A),star(A))
% 2.53/2.80  Current number of equations to process: 592
% 2.53/2.80  Current number of ordered equations: 1
% 2.53/2.80  Current number of rules: 195
% 2.53/2.80  New rule produced :
% 2.53/2.80  [209]
% 2.53/2.80  multiplication(multiplication(star(A),A),star(A)) <->
% 2.53/2.80  multiplication(star(A),multiplication(star(A),A))
% 2.53/2.80  Current number of equations to process: 592
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 196
% 2.53/2.80  New rule produced :
% 2.53/2.80  [210]
% 2.53/2.80  multiplication(strong_iteration(A),star(multiplication(A,strong_iteration(A))))
% 2.53/2.80  -> star(multiplication(A,strong_iteration(A)))
% 2.53/2.80  Current number of equations to process: 591
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 197
% 2.53/2.80  New rule produced :
% 2.53/2.80  [211]
% 2.53/2.80  multiplication(strong_iteration(A),strong_iteration(multiplication(A,
% 2.53/2.80                                                      strong_iteration(A)))) ->
% 2.53/2.80  strong_iteration(multiplication(A,strong_iteration(A)))
% 2.53/2.80  Current number of equations to process: 590
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 198
% 2.53/2.80  New rule produced :
% 2.53/2.80  [212]
% 2.53/2.80  leq(multiplication(multiplication(star(A),A),B),multiplication(star(A),B)) ->
% 2.53/2.80  true
% 2.53/2.80  Current number of equations to process: 588
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 199
% 2.53/2.80  New rule produced :
% 2.53/2.80  [213]
% 2.53/2.80  multiplication(strong_iteration(A),B) addition multiplication(multiplication(A,
% 2.53/2.80                                                                strong_iteration(A)),B)
% 2.53/2.80  -> multiplication(strong_iteration(A),B)
% 2.53/2.80  Current number of equations to process: 587
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 200
% 2.53/2.80  New rule produced :
% 2.53/2.80  [214] leq(A,multiplication(strong_iteration(B),A) addition C) -> true
% 2.53/2.80  Current number of equations to process: 603
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 201
% 2.53/2.80  New rule produced :
% 2.53/2.80  [215]
% 2.53/2.80  star(B) addition multiplication(strong_iteration(A),strong_iteration(B)) ->
% 2.53/2.80  multiplication(strong_iteration(A),strong_iteration(B))
% 2.53/2.80  Current number of equations to process: 674
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 202
% 2.53/2.80  New rule produced :
% 2.53/2.80  [216]
% 2.53/2.80  leq(A addition B,multiplication(strong_iteration(C),A) addition B) -> true
% 2.53/2.80  Current number of equations to process: 673
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 203
% 2.53/2.80  New rule produced :
% 2.53/2.80  [217]
% 2.53/2.80  multiplication(strong_iteration(A),multiplication(A,strong_iteration(A))) <->
% 2.53/2.80  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A))
% 2.53/2.80  Current number of equations to process: 672
% 2.53/2.80  Current number of ordered equations: 1
% 2.53/2.80  Current number of rules: 204
% 2.53/2.80  New rule produced :
% 2.53/2.80  [218]
% 2.53/2.80  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)) <->
% 2.53/2.80  multiplication(strong_iteration(A),multiplication(A,strong_iteration(A)))
% 2.53/2.80  Current number of equations to process: 672
% 2.53/2.80  Current number of ordered equations: 0
% 2.53/2.80  Current number of rules: 205
% 2.53/2.80  New rule produced :
% 2.53/2.80  [219]
% 2.53/2.80  leq(multiplication(multiplication(A,strong_iteration(A)),B),multiplication(
% 3.29/3.53                                                              strong_iteration(A),B))
% 3.29/3.53  -> true
% 3.29/3.53  Current number of equations to process: 671
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 206
% 3.29/3.53  New rule produced :
% 3.29/3.53  [220]
% 3.29/3.53  multiplication(strong_iteration(A),star(B)) addition multiplication(star(B),B)
% 3.29/3.53  -> multiplication(strong_iteration(A),star(B))
% 3.29/3.53  Current number of equations to process: 670
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 207
% 3.29/3.53  New rule produced :
% 3.29/3.53  [221]
% 3.29/3.53  leq(A addition B,multiplication(strong_iteration(C),A) addition B addition V_3)
% 3.29/3.53  -> true
% 3.29/3.53  Current number of equations to process: 669
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 208
% 3.29/3.53  New rule produced :
% 3.29/3.53  [222]
% 3.29/3.53  multiplication(strong_iteration(A),multiplication(B,C)) addition multiplication(B,zero)
% 3.29/3.53  -> multiplication(strong_iteration(A),multiplication(B,C))
% 3.29/3.53  Current number of equations to process: 668
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 209
% 3.29/3.53  New rule produced :
% 3.29/3.53  [223]
% 3.29/3.53  leq(star(A),multiplication(strong_iteration(A),strong_iteration(B))) -> true
% 3.29/3.53  Current number of equations to process: 757
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 210
% 3.29/3.53  New rule produced :
% 3.29/3.53  [224]
% 3.29/3.53  multiplication(multiplication(A,multiplication(B,multiplication(C,zero))),V_3)
% 3.29/3.53  -> multiplication(multiplication(A,B),multiplication(C,zero))
% 3.29/3.53  Current number of equations to process: 968
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 211
% 3.29/3.53  New rule produced :
% 3.29/3.53  [225]
% 3.29/3.53  one addition multiplication(strong_iteration(A),A) -> strong_iteration(A)
% 3.29/3.53  Current number of equations to process: 1326
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 212
% 3.29/3.53  New rule produced :
% 3.29/3.53  [226]
% 3.29/3.53  multiplication(strong_iteration(A),star(star(A))) ->
% 3.29/3.53  star(star(A)) addition multiplication(strong_iteration(A),zero)
% 3.29/3.53  Current number of equations to process: 1352
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 213
% 3.29/3.53  New rule produced :
% 3.29/3.53  [227]
% 3.29/3.53  multiplication(strong_iteration(A),strong_iteration(star(A))) ->
% 3.29/3.53  strong_iteration(star(A)) addition multiplication(strong_iteration(A),zero)
% 3.29/3.53  Current number of equations to process: 1351
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 214
% 3.29/3.53  New rule produced :
% 3.29/3.53  [228]
% 3.29/3.53  ifeq(leq(multiplication(A,zero) addition B,A),true,leq(B,A),true) -> true
% 3.29/3.53  Current number of equations to process: 1350
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 215
% 3.29/3.53  New rule produced :
% 3.29/3.53  [229] ifeq3(star(A) addition B,one,leq(star(A) addition B,one),true) -> true
% 3.29/3.53  Current number of equations to process: 1349
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 216
% 3.29/3.53  New rule produced :
% 3.29/3.53  [230] ifeq2(leq(star(A) addition B,one),true,star(A) addition B,one) -> one
% 3.29/3.53  Current number of equations to process: 1348
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 217
% 3.29/3.53  New rule produced :
% 3.29/3.53  [231]
% 3.29/3.53  ifeq3(strong_iteration(A) addition B,one,leq(strong_iteration(A) addition B,one),true)
% 3.29/3.53  -> true
% 3.29/3.53  Current number of equations to process: 1347
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 218
% 3.29/3.53  New rule produced :
% 3.29/3.53  [232]
% 3.29/3.53  ifeq2(leq(strong_iteration(A) addition B,one),true,strong_iteration(A) addition B,one)
% 3.29/3.53  -> one
% 3.29/3.53  Current number of equations to process: 1346
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 219
% 3.29/3.53  New rule produced :
% 3.29/3.53  [233]
% 3.29/3.53  leq(multiplication(A,star(A)) addition B,star(A) addition B addition C) ->
% 3.29/3.53  true
% 3.29/3.53  Current number of equations to process: 1345
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 220
% 3.29/3.53  New rule produced :
% 3.29/3.53  [234]
% 3.29/3.53  leq(multiplication(star(A),A) addition B,star(A) addition B addition C) ->
% 3.29/3.53  true
% 3.29/3.53  Current number of equations to process: 1344
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 221
% 3.29/3.53  New rule produced :
% 3.29/3.53  [235]
% 3.29/3.53  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition B addition C)
% 3.29/3.53  -> true
% 3.29/3.53  Current number of equations to process: 1343
% 3.29/3.53  Current number of ordered equations: 0
% 3.29/3.53  Current number of rules: 222
% 3.29/3.53  New rule produced :
% 3.29/3.53  [236]
% 3.29/3.53  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B addition C)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1342
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 223
% 3.33/3.58  New rule produced :
% 3.33/3.58  [237]
% 3.33/3.58  multiplication(multiplication(A,B),C) addition multiplication(A,multiplication(B,zero))
% 3.33/3.58  -> multiplication(multiplication(A,B),C)
% 3.33/3.58  Current number of equations to process: 1338
% 3.33/3.58  Current number of ordered equations: 2
% 3.33/3.58  Current number of rules: 224
% 3.33/3.58  New rule produced :
% 3.33/3.58  [238]
% 3.33/3.58  multiplication(multiplication(A,B),C) <->
% 3.33/3.58  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 3.33/3.58  Current number of equations to process: 1338
% 3.33/3.58  Current number of ordered equations: 1
% 3.33/3.58  Current number of rules: 225
% 3.33/3.58  New rule produced :
% 3.33/3.58  [239]
% 3.33/3.58  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 3.33/3.58  <-> multiplication(multiplication(A,B),C)
% 3.33/3.58  Current number of equations to process: 1338
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 226
% 3.33/3.58  New rule produced :
% 3.33/3.58  [240]
% 3.33/3.58  multiplication(A,multiplication(B,zero)) addition multiplication(A,multiplication(B,C))
% 3.33/3.58  -> multiplication(A,multiplication(B,C))
% 3.33/3.58  Current number of equations to process: 1336
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 227
% 3.33/3.58  New rule produced :
% 3.33/3.58  [241]
% 3.33/3.58  leq(multiplication(A,zero) addition B,multiplication(A,C) addition B addition V_3)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1335
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 228
% 3.33/3.58  New rule produced :
% 3.33/3.58  [242]
% 3.33/3.58  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,star(B)) addition C)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1333
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 229
% 3.33/3.58  New rule produced :
% 3.33/3.58  [243]
% 3.33/3.58  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,star(B)) addition C)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1331
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 230
% 3.33/3.58  New rule produced :
% 3.33/3.58  [244]
% 3.33/3.58  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(A,
% 3.33/3.58                                                              strong_iteration(B)) addition C)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1329
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 231
% 3.33/3.58  New rule produced :
% 3.33/3.58  [245]
% 3.33/3.58  leq(multiplication(multiplication(A,star(A)),B),multiplication(star(A),B) addition C)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1325
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 232
% 3.33/3.58  New rule produced :
% 3.33/3.58  [246]
% 3.33/3.58  leq(multiplication(multiplication(star(A),A),B),multiplication(star(A),B) addition C)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1321
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 233
% 3.33/3.58  New rule produced :
% 3.33/3.58  [247]
% 3.33/3.58  leq(multiplication(multiplication(A,strong_iteration(A)),B),multiplication(
% 3.33/3.58                                                              strong_iteration(A),B) addition C)
% 3.33/3.58  -> true
% 3.33/3.58  Current number of equations to process: 1316
% 3.33/3.58  Current number of ordered equations: 0
% 3.33/3.58  Current number of rules: 234
% 3.33/3.58  New rule produced :
% 3.33/3.58  [248]
% 3.33/3.58  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.58  <->
% 3.33/3.58  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.33/3.58  Current number of equations to process: 1312
% 3.33/3.58  Current number of ordered equations: 5
% 3.33/3.58  Current number of rules: 235
% 3.33/3.58  New rule produced :
% 3.33/3.58  [249]
% 3.33/3.58  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.58  <->
% 3.33/3.58  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.33/3.58  Current number of equations to process: 1312
% 3.33/3.58  Current number of ordered equations: 4
% 3.33/3.58  Current number of rules: 236
% 3.33/3.58  New rule produced :
% 3.33/3.58  [250]
% 3.33/3.58  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.33/3.58  <->
% 3.33/3.58  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.33/3.58  Current number of equations to process: 1312
% 3.33/3.58  Current number of ordered equations: 3
% 3.33/3.58  Current number of rules: 237
% 3.33/3.58  New rule produced :
% 3.33/3.58  [251]
% 3.33/3.58  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.33/3.58  <->
% 3.33/3.58  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.64  Current number of equations to process: 1312
% 3.33/3.64  Current number of ordered equations: 2
% 3.33/3.64  Current number of rules: 238
% 3.33/3.64  New rule produced :
% 3.33/3.64  [252]
% 3.33/3.64  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.33/3.64  Current number of equations to process: 1312
% 3.33/3.64  Current number of ordered equations: 1
% 3.33/3.64  Current number of rules: 239
% 3.33/3.64  New rule produced :
% 3.33/3.64  [253]
% 3.33/3.64  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.64  Current number of equations to process: 1312
% 3.33/3.64  Current number of ordered equations: 0
% 3.33/3.64  Current number of rules: 240
% 3.33/3.64  New rule produced :
% 3.33/3.64  [254]
% 3.33/3.64  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.33/3.64  Current number of equations to process: 1309
% 3.33/3.64  Current number of ordered equations: 5
% 3.33/3.64  Current number of rules: 241
% 3.33/3.64  New rule produced :
% 3.33/3.64  [255]
% 3.33/3.64  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.33/3.64  Current number of equations to process: 1309
% 3.33/3.64  Current number of ordered equations: 4
% 3.33/3.64  Current number of rules: 242
% 3.33/3.64  New rule produced :
% 3.33/3.64  [256]
% 3.33/3.64  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.33/3.64  Current number of equations to process: 1309
% 3.33/3.64  Current number of ordered equations: 3
% 3.33/3.64  Current number of rules: 243
% 3.33/3.64  New rule produced :
% 3.33/3.64  [257]
% 3.33/3.64  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.33/3.64  Current number of equations to process: 1309
% 3.33/3.64  Current number of ordered equations: 2
% 3.33/3.64  Current number of rules: 244
% 3.33/3.64  New rule produced :
% 3.33/3.64  [258]
% 3.33/3.64  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.33/3.64  Current number of equations to process: 1309
% 3.33/3.64  Current number of ordered equations: 1
% 3.33/3.64  Current number of rules: 245
% 3.33/3.64  New rule produced :
% 3.33/3.64  [259]
% 3.33/3.64  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.33/3.64  <->
% 3.33/3.64  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.64  Current number of equations to process: 1309
% 3.33/3.64  Current number of ordered equations: 0
% 3.33/3.64  Current number of rules: 246
% 3.33/3.64  New rule produced :
% 3.33/3.64  [260]
% 3.33/3.64  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.33/3.64  Current number of equations to process: 1306
% 3.33/3.64  Current number of ordered equations: 3
% 3.33/3.64  Current number of rules: 247
% 3.33/3.64  New rule produced :
% 3.33/3.64  [261]
% 3.33/3.64  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.33/3.64  Current number of equations to process: 1306
% 3.33/3.64  Current number of ordered equations: 2
% 3.33/3.64  Current number of rules: 248
% 3.33/3.64  New rule produced :
% 3.33/3.64  [262]
% 3.33/3.64  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.33/3.64  Current number of equations to process: 1306
% 3.33/3.64  Current number of ordered equations: 1
% 3.33/3.64  Current number of rules: 249
% 3.33/3.64  New rule produced :
% 3.33/3.64  [263]
% 3.33/3.64  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.33/3.64  Current number of equations to process: 1306
% 3.33/3.64  Current number of ordered equations: 0
% 3.33/3.64  Current number of rules: 250
% 3.33/3.64  New rule produced :
% 3.33/3.64  [264]
% 3.33/3.64  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.33/3.64  <->
% 3.33/3.64  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.33/3.64  Current number of equations to process: 1303
% 3.33/3.64  Current number of ordered equations: 5
% 3.33/3.64  Current number of rules: 251
% 3.33/3.64  New rule produced :
% 3.33/3.64  [265]
% 3.33/3.64  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.45/3.70  Current number of equations to process: 1303
% 3.45/3.70  Current number of ordered equations: 4
% 3.45/3.70  Current number of rules: 252
% 3.45/3.70  New rule produced :
% 3.45/3.70  [266]
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.45/3.70  Current number of equations to process: 1303
% 3.45/3.70  Current number of ordered equations: 3
% 3.45/3.70  Current number of rules: 253
% 3.45/3.70  New rule produced :
% 3.45/3.70  [267]
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.45/3.70  Current number of equations to process: 1303
% 3.45/3.70  Current number of ordered equations: 2
% 3.45/3.70  Current number of rules: 254
% 3.45/3.70  New rule produced :
% 3.45/3.70  [268]
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.45/3.70  Current number of equations to process: 1303
% 3.45/3.70  Current number of ordered equations: 1
% 3.45/3.70  Current number of rules: 255
% 3.45/3.70  New rule produced :
% 3.45/3.70  [269]
% 3.45/3.70  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.45/3.70  Current number of equations to process: 1303
% 3.45/3.70  Current number of ordered equations: 0
% 3.45/3.70  Current number of rules: 256
% 3.45/3.70  New rule produced :
% 3.45/3.70  [270]
% 3.45/3.70  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.45/3.70  Current number of equations to process: 1301
% 3.45/3.70  Current number of ordered equations: 3
% 3.45/3.70  Current number of rules: 257
% 3.45/3.70  New rule produced :
% 3.45/3.70  [271]
% 3.45/3.70  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.45/3.70  Current number of equations to process: 1301
% 3.45/3.70  Current number of ordered equations: 2
% 3.45/3.70  Current number of rules: 258
% 3.45/3.70  New rule produced :
% 3.45/3.70  [272]
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.45/3.70  Current number of equations to process: 1301
% 3.45/3.70  Current number of ordered equations: 1
% 3.45/3.70  Current number of rules: 259
% 3.45/3.70  New rule produced :
% 3.45/3.70  [273]
% 3.45/3.70  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.45/3.70  Current number of equations to process: 1301
% 3.45/3.70  Current number of ordered equations: 0
% 3.45/3.70  Current number of rules: 260
% 3.45/3.70  New rule produced :
% 3.45/3.70  [274]
% 3.45/3.70  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.45/3.70  Current number of equations to process: 1298
% 3.45/3.70  Current number of ordered equations: 3
% 3.45/3.70  Current number of rules: 261
% 3.45/3.70  New rule produced :
% 3.45/3.70  [275]
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.45/3.70  Current number of equations to process: 1298
% 3.45/3.70  Current number of ordered equations: 2
% 3.45/3.70  Current number of rules: 262
% 3.45/3.70  New rule produced :
% 3.45/3.70  [276]
% 3.45/3.70  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.45/3.70  Current number of equations to process: 1298
% 3.45/3.70  Current number of ordered equations: 1
% 3.45/3.70  Current number of rules: 263
% 3.45/3.70  New rule produced :
% 3.45/3.70  [277]
% 3.45/3.70  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.45/3.70  <->
% 3.45/3.70  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.45/3.70  Current number of equations to process: 1298
% 3.45/3.70  Current number of ordered equations: 0
% 3.45/3.70  Current number of rules: 264
% 3.45/3.70  New rule produced :
% 3.45/3.70  [278]
% 3.45/3.70  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.45/3.70  <->
% 3.45/3.70  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.45/3.70  Current number of equations to process: 1295
% 3.45/3.70  Current number of ordered equations: 5
% 3.45/3.70  Current number of rules: 265
% 3.58/3.77  New rule produced :
% 3.58/3.77  [279]
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.58/3.77  Current number of equations to process: 1295
% 3.58/3.77  Current number of ordered equations: 4
% 3.58/3.77  Current number of rules: 266
% 3.58/3.77  New rule produced :
% 3.58/3.77  [280]
% 3.58/3.77  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.58/3.77  Current number of equations to process: 1295
% 3.58/3.77  Current number of ordered equations: 3
% 3.58/3.77  Current number of rules: 267
% 3.58/3.77  New rule produced :
% 3.58/3.77  [281]
% 3.58/3.77  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.58/3.77  Current number of equations to process: 1295
% 3.58/3.77  Current number of ordered equations: 2
% 3.58/3.77  Current number of rules: 268
% 3.58/3.77  New rule produced :
% 3.58/3.77  [282]
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.58/3.77  Current number of equations to process: 1295
% 3.58/3.77  Current number of ordered equations: 1
% 3.58/3.77  Current number of rules: 269
% 3.58/3.77  New rule produced :
% 3.58/3.77  [283]
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.58/3.77  Current number of equations to process: 1295
% 3.58/3.77  Current number of ordered equations: 0
% 3.58/3.77  Current number of rules: 270
% 3.58/3.77  New rule produced :
% 3.58/3.77  [284]
% 3.58/3.77  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.58/3.77  Current number of equations to process: 1289
% 3.58/3.77  Current number of ordered equations: 1
% 3.58/3.77  Current number of rules: 271
% 3.58/3.77  New rule produced :
% 3.58/3.77  [285]
% 3.58/3.77  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.58/3.77  Current number of equations to process: 1289
% 3.58/3.77  Current number of ordered equations: 0
% 3.58/3.77  Current number of rules: 272
% 3.58/3.77  New rule produced :
% 3.58/3.77  [286]
% 3.58/3.77  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.58/3.77  Current number of equations to process: 1286
% 3.58/3.77  Current number of ordered equations: 3
% 3.58/3.77  Current number of rules: 273
% 3.58/3.77  New rule produced :
% 3.58/3.77  [287]
% 3.58/3.77  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.58/3.77  Current number of equations to process: 1286
% 3.58/3.77  Current number of ordered equations: 2
% 3.58/3.77  Current number of rules: 274
% 3.58/3.77  New rule produced :
% 3.58/3.77  [288]
% 3.58/3.77  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 3.58/3.77  Current number of equations to process: 1286
% 3.58/3.77  Current number of ordered equations: 1
% 3.58/3.77  Current number of rules: 275
% 3.58/3.77  New rule produced :
% 3.58/3.77  [289]
% 3.58/3.77  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.58/3.77  Current number of equations to process: 1286
% 3.58/3.77  Current number of ordered equations: 0
% 3.58/3.77  Current number of rules: 276
% 3.58/3.77  New rule produced :
% 3.58/3.77  [290]
% 3.58/3.77  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.58/3.77  Current number of equations to process: 1282
% 3.58/3.77  Current number of ordered equations: 3
% 3.58/3.77  Current number of rules: 277
% 3.58/3.77  New rule produced :
% 3.58/3.77  [291]
% 3.58/3.77  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.58/3.77  Current number of equations to process: 1282
% 3.58/3.77  Current number of ordered equations: 2
% 3.58/3.77  Current number of rules: 278
% 3.58/3.77  New rule produced :
% 3.58/3.77  [292]
% 3.58/3.77  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.58/3.77  <->
% 3.58/3.77  multiplication(multiplication(A,B),multiplication(C,multiplication(V_3,V_4)))
% 3.58/3.77  Current number of equations to process: 1282
% 3.58/3.85  Current number of ordered equations: 1
% 3.58/3.85  Current number of rules: 279
% 3.58/3.85  New rule produced :
% 3.58/3.85  [293]
% 3.58/3.85  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(multiplication(A,B),C),multiplication(V_3,V_4))
% 3.58/3.85  Current number of equations to process: 1282
% 3.58/3.85  Current number of ordered equations: 0
% 3.58/3.85  Current number of rules: 280
% 3.58/3.85  New rule produced :
% 3.58/3.85  [294]
% 3.58/3.85  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  Current number of equations to process: 1276
% 3.58/3.85  Current number of ordered equations: 5
% 3.58/3.85  Current number of rules: 281
% 3.58/3.85  New rule produced :
% 3.58/3.85  [295]
% 3.58/3.85  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  Current number of equations to process: 1276
% 3.58/3.85  Current number of ordered equations: 4
% 3.58/3.85  Current number of rules: 282
% 3.58/3.85  New rule produced :
% 3.58/3.85  [296]
% 3.58/3.85  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.58/3.85  Current number of equations to process: 1276
% 3.58/3.85  Current number of ordered equations: 3
% 3.58/3.85  Current number of rules: 283
% 3.58/3.85  New rule produced :
% 3.58/3.85  [297]
% 3.58/3.85  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.58/3.85  <->
% 3.58/3.85  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.58/3.85  Current number of equations to process: 1276
% 3.58/3.85  Current number of ordered equations: 2
% 3.58/3.85  Current number of rules: 284
% 3.58/3.85  New rule produced :
% 3.58/3.85  [298]
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  <->
% 3.58/3.85  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.58/3.85  Current number of equations to process: 1276
% 3.58/3.85  Current number of ordered equations: 1
% 3.58/3.85  Current number of rules: 285
% 3.58/3.85  New rule produced :
% 3.58/3.85  [299]
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  <->
% 3.58/3.85  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.58/3.85  Current number of equations to process: 1276
% 3.58/3.85  Current number of ordered equations: 0
% 3.58/3.85  Current number of rules: 286
% 3.58/3.85  New rule produced :
% 3.58/3.85  [300]
% 3.58/3.85  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  Current number of equations to process: 1274
% 3.58/3.85  Current number of ordered equations: 1
% 3.58/3.85  Current number of rules: 287
% 3.58/3.85  New rule produced :
% 3.58/3.85  [301]
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  <->
% 3.58/3.85  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.58/3.85  Current number of equations to process: 1274
% 3.58/3.85  Current number of ordered equations: 0
% 3.58/3.85  Current number of rules: 288
% 3.58/3.85  New rule produced :
% 3.58/3.85  [302]
% 3.58/3.85  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.58/3.85  Current number of equations to process: 1272
% 3.58/3.85  Current number of ordered equations: 3
% 3.58/3.85  Current number of rules: 289
% 3.58/3.85  New rule produced :
% 3.58/3.85  [303]
% 3.58/3.85  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  Current number of equations to process: 1272
% 3.58/3.85  Current number of ordered equations: 2
% 3.58/3.85  Current number of rules: 290
% 3.58/3.85  New rule produced :
% 3.58/3.85  [304]
% 3.58/3.85  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.58/3.85  <->
% 3.58/3.85  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 3.58/3.85  Current number of equations to process: 1272
% 3.58/3.85  Current number of ordered equations: 1
% 3.58/3.85  Current number of rules: 291
% 3.58/3.85  New rule produced :
% 3.58/3.85  [305]
% 3.58/3.85  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.58/3.85  <->
% 3.58/3.85  multiplication(multiplication(A,multiplication(B,C)),multiplication(V_3,V_4))
% 3.58/3.85  Current number of equations to process: 1272
% 3.58/3.85  Current number of ordered equations: 0
% 3.58/3.85  Current number of rules: 292
% 3.58/3.85  New rule produced :
% 3.58/3.85  [306]
% 3.58/3.85  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.58/3.85  <->
% 3.74/3.95  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.74/3.95  Current number of equations to process: 1265
% 3.74/3.95  Current number of ordered equations: 5
% 3.74/3.95  Current number of rules: 293
% 3.74/3.95  New rule produced :
% 3.74/3.95  [307]
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.74/3.95  <->
% 3.74/3.95  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.74/3.95  Current number of equations to process: 1265
% 3.74/3.95  Current number of ordered equations: 4
% 3.74/3.95  Current number of rules: 294
% 3.74/3.95  New rule produced :
% 3.74/3.95  [308]
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.74/3.95  <->
% 3.74/3.95  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.74/3.95  Current number of equations to process: 1265
% 3.74/3.95  Current number of ordered equations: 3
% 3.74/3.95  Current number of rules: 295
% 3.74/3.95  New rule produced :
% 3.74/3.95  [309]
% 3.74/3.95  multiplication(multiplication(multiplication(A,B),multiplication(C,V_3)),V_4)
% 3.74/3.95  <->
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.74/3.95  Current number of equations to process: 1265
% 3.74/3.95  Current number of ordered equations: 2
% 3.74/3.95  Current number of rules: 296
% 3.74/3.95  New rule produced :
% 3.74/3.95  [310]
% 3.74/3.95  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.74/3.95  <->
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.74/3.95  Current number of equations to process: 1265
% 3.74/3.95  Current number of ordered equations: 1
% 3.74/3.95  Current number of rules: 297
% 3.74/3.95  New rule produced :
% 3.74/3.95  [311]
% 3.74/3.95  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.74/3.95  <->
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.74/3.95  Current number of equations to process: 1265
% 3.74/3.95  Current number of ordered equations: 0
% 3.74/3.95  Current number of rules: 298
% 3.74/3.95  New rule produced :
% 3.74/3.95  [312]
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.74/3.95  <->
% 3.74/3.95  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.74/3.95  Current number of equations to process: 1261
% 3.74/3.95  Current number of ordered equations: 1
% 3.74/3.95  Current number of rules: 299
% 3.74/3.95  New rule produced :
% 3.74/3.95  [313]
% 3.74/3.95  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.74/3.95  <->
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 3.74/3.95  Current number of equations to process: 1261
% 3.74/3.95  Current number of ordered equations: 0
% 3.74/3.95  Current number of rules: 300
% 3.74/3.95  New rule produced :
% 3.74/3.95  [314]
% 3.74/3.95  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.74/3.95  <->
% 3.74/3.95  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.74/3.95  Current number of equations to process: 1258
% 3.74/3.95  Current number of ordered equations: 1
% 3.74/3.95  Current number of rules: 301
% 3.74/3.95  New rule produced :
% 3.74/3.95  [315]
% 3.74/3.95  multiplication(multiplication(A,multiplication(multiplication(B,C),V_3)),V_4)
% 3.74/3.95  <->
% 3.74/3.95  multiplication(A,multiplication(multiplication(B,multiplication(C,V_3)),V_4))
% 3.74/3.95  Current number of equations to process: 1258
% 3.74/3.95  Current number of ordered equations: 0
% 3.74/3.95  Current number of rules: 302
% 3.74/3.95  New rule produced :
% 3.74/3.95  [316]
% 3.74/3.95  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.74/3.95  <->
% 3.74/3.95  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.74/3.95  Current number of equations to process: 1256
% 3.74/3.95  Current number of ordered equations: 1
% 3.74/3.95  Current number of rules: 303
% 3.74/3.95  New rule produced :
% 3.74/3.95  [317]
% 3.74/3.95  multiplication(multiplication(A,multiplication(B,multiplication(C,V_3))),V_4)
% 3.74/3.95  <->
% 3.74/3.95  multiplication(A,multiplication(multiplication(multiplication(B,C),V_3),V_4))
% 3.74/3.95  Current number of equations to process: 1256
% 3.74/3.95  Current number of ordered equations: 0
% 3.74/3.95  Current number of rules: 304
% 3.74/3.95  New rule produced :
% 3.74/3.95  [318]
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.74/3.95  <->
% 3.74/3.95  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 3.74/3.95  Current number of equations to process: 1249
% 3.74/3.95  Current number of ordered equations: 3
% 3.74/3.95  Current number of rules: 305
% 3.74/3.95  New rule produced :
% 3.74/3.95  [319]
% 3.74/3.95  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 3.74/3.95  <->
% 3.74/3.95  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 3.74/3.95  Current number of equations to process: 1249
% 3.74/3.95  Current number of ordered equations: 2
% 3.74/3.95  Current number of rules: 306
% 3.74/3.95  New rule produced :
% 4.63/4.83  [320]
% 4.63/4.83  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 4.63/4.83  <->
% 4.63/4.83  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 4.63/4.83  Current number of equations to process: 1249
% 4.63/4.83  Current number of ordered equations: 1
% 4.63/4.83  Current number of rules: 307
% 4.63/4.83  New rule produced :
% 4.63/4.83  [321]
% 4.63/4.83  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 4.63/4.83  <->
% 4.63/4.83  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 4.63/4.83  Current number of equations to process: 1249
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 308
% 4.63/4.83  New rule produced :
% 4.63/4.83  [322]
% 4.63/4.83  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 4.63/4.83  <->
% 4.63/4.83  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 4.63/4.83  Current number of equations to process: 1245
% 4.63/4.83  Current number of ordered equations: 3
% 4.63/4.83  Current number of rules: 309
% 4.63/4.83  New rule produced :
% 4.63/4.83  [323]
% 4.63/4.83  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 4.63/4.83  <->
% 4.63/4.83  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 4.63/4.83  Current number of equations to process: 1245
% 4.63/4.83  Current number of ordered equations: 2
% 4.63/4.83  Current number of rules: 310
% 4.63/4.83  New rule produced :
% 4.63/4.83  [324]
% 4.63/4.83  multiplication(multiplication(multiplication(A,multiplication(B,C)),V_3),V_4)
% 4.63/4.83  <->
% 4.63/4.83  multiplication(A,multiplication(B,multiplication(multiplication(C,V_3),V_4)))
% 4.63/4.83  Current number of equations to process: 1245
% 4.63/4.83  Current number of ordered equations: 1
% 4.63/4.83  Current number of rules: 311
% 4.63/4.83  New rule produced :
% 4.63/4.83  [325]
% 4.63/4.83  multiplication(multiplication(multiplication(multiplication(A,B),C),V_3),V_4)
% 4.63/4.83  <->
% 4.63/4.83  multiplication(A,multiplication(multiplication(B,C),multiplication(V_3,V_4)))
% 4.63/4.83  Current number of equations to process: 1245
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 312
% 4.63/4.83  New rule produced :
% 4.63/4.83  [326]
% 4.63/4.83  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 4.63/4.83  <->
% 4.63/4.83  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 4.63/4.83  Current number of equations to process: 1231
% 4.63/4.83  Current number of ordered equations: 1
% 4.63/4.83  Current number of rules: 313
% 4.63/4.83  New rule produced :
% 4.63/4.83  [327]
% 4.63/4.83  multiplication(multiplication(A,B),multiplication(multiplication(C,V_3),V_4))
% 4.63/4.83  <->
% 4.63/4.83  multiplication(A,multiplication(B,multiplication(C,multiplication(V_3,V_4))))
% 4.63/4.83  Current number of equations to process: 1231
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 314
% 4.63/4.83  New rule produced :
% 4.63/4.83  [328]
% 4.63/4.83  multiplication(strong_iteration(A),B) addition multiplication(star(A),C) ->
% 4.63/4.83  multiplication(strong_iteration(A),B) addition multiplication(strong_iteration(A),C)
% 4.63/4.83  Rule
% 4.63/4.83  [63]
% 4.63/4.83  multiplication(strong_iteration(A),zero) addition multiplication(star(A),B)
% 4.63/4.83  -> multiplication(strong_iteration(A),B) collapsed.
% 4.63/4.83  Rule
% 4.63/4.83  [125]
% 4.63/4.83  multiplication(strong_iteration(A),B) addition multiplication(star(A),B) ->
% 4.63/4.83  multiplication(strong_iteration(A),B) collapsed.
% 4.63/4.83  Current number of equations to process: 1190
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 313
% 4.63/4.83  New rule produced :
% 4.63/4.83  [329]
% 4.63/4.83  ifeq3(multiplication(A,star(B)),A,leq(multiplication(A,star(B)),A),true) ->
% 4.63/4.83  true
% 4.63/4.83  Current number of equations to process: 1277
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 314
% 4.63/4.83  New rule produced :
% 4.63/4.83  [330]
% 4.63/4.83  ifeq3(multiplication(A,strong_iteration(B)),A,leq(multiplication(A,strong_iteration(B)),A),true)
% 4.63/4.83  -> true
% 4.63/4.83  Current number of equations to process: 1276
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 315
% 4.63/4.83  New rule produced :
% 4.63/4.83  [331]
% 4.63/4.83  ifeq3(multiplication(star(A),B),B,leq(multiplication(star(A),B),B),true) ->
% 4.63/4.83  true
% 4.63/4.83  Current number of equations to process: 1275
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 316
% 4.63/4.83  New rule produced :
% 4.63/4.83  [332]
% 4.63/4.83  ifeq3(multiplication(strong_iteration(A),B),B,leq(multiplication(strong_iteration(A),B),B),true)
% 4.63/4.83  -> true
% 4.63/4.83  Current number of equations to process: 1274
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 317
% 4.63/4.83  New rule produced :
% 4.63/4.83  [333]
% 4.63/4.83  ifeq2(leq(multiplication(A,star(B)),A),true,multiplication(A,star(B)),A) -> A
% 4.63/4.83  Current number of equations to process: 1366
% 4.63/4.83  Current number of ordered equations: 0
% 4.63/4.83  Current number of rules: 318
% 4.63/4.83  New rule produced :
% 4.77/5.02  [334]
% 4.77/5.02  ifeq2(leq(multiplication(A,strong_iteration(B)),A),true,multiplication(A,
% 4.77/5.02                                                          strong_iteration(B)),A)
% 4.77/5.02  -> A
% 4.77/5.02  Current number of equations to process: 1365
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 319
% 4.77/5.02  New rule produced :
% 4.77/5.02  [335]
% 4.77/5.02  ifeq2(leq(multiplication(star(A),B),B),true,multiplication(star(A),B),B) -> B
% 4.77/5.02  Current number of equations to process: 1364
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 320
% 4.77/5.02  New rule produced :
% 4.77/5.02  [336]
% 4.77/5.02  ifeq2(leq(multiplication(strong_iteration(A),B),B),true,multiplication(
% 4.77/5.02                                                          strong_iteration(A),B),B)
% 4.77/5.02  -> B
% 4.77/5.02  Current number of equations to process: 1363
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 321
% 4.77/5.02  New rule produced :
% 4.77/5.02  [337]
% 4.77/5.02  star(A) addition multiplication(A,multiplication(strong_iteration(A),zero))
% 4.77/5.02  -> strong_iteration(A)
% 4.77/5.02  Current number of equations to process: 1371
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 322
% 4.77/5.02  New rule produced :
% 4.77/5.02  [338]
% 4.77/5.02  multiplication(multiplication(A,strong_iteration(B)),zero) addition multiplication(A,
% 4.77/5.02                                                                      star(B))
% 4.77/5.02  -> multiplication(A,strong_iteration(B))
% 4.77/5.02  Current number of equations to process: 1397
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 323
% 4.77/5.02  New rule produced :
% 4.77/5.02  [339]
% 4.77/5.02  strong_iteration(A) addition multiplication(star(A),multiplication(B,star(B)))
% 4.77/5.02  -> strong_iteration(A) addition multiplication(star(A),star(B))
% 4.77/5.02  Current number of equations to process: 1392
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 324
% 4.77/5.02  New rule produced :
% 4.77/5.02  [340]
% 4.77/5.02  strong_iteration(A) addition multiplication(star(A),multiplication(star(B),B))
% 4.77/5.02  -> strong_iteration(A) addition multiplication(star(A),star(B))
% 4.77/5.02  Current number of equations to process: 1391
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 325
% 4.77/5.02  New rule produced :
% 4.77/5.02  [341]
% 4.77/5.02  strong_iteration(A) addition multiplication(star(A),multiplication(B,
% 4.77/5.02                                                      strong_iteration(B))) ->
% 4.77/5.02  strong_iteration(A) addition multiplication(star(A),strong_iteration(B))
% 4.77/5.02  Current number of equations to process: 1390
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 326
% 4.77/5.02  New rule produced :
% 4.77/5.02  [342]
% 4.77/5.02  strong_iteration(A) addition multiplication(multiplication(B,star(B)),
% 4.77/5.02                               star(A)) ->
% 4.77/5.02  strong_iteration(A) addition multiplication(star(B),star(A))
% 4.77/5.02  Current number of equations to process: 1389
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 327
% 4.77/5.02  New rule produced :
% 4.77/5.02  [343]
% 4.77/5.02  strong_iteration(A) addition multiplication(multiplication(star(B),B),
% 4.77/5.02                               star(A)) ->
% 4.77/5.02  strong_iteration(A) addition multiplication(star(B),star(A))
% 4.77/5.02  Current number of equations to process: 1388
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 328
% 4.77/5.02  New rule produced :
% 4.77/5.02  [344]
% 4.77/5.02  strong_iteration(A) addition multiplication(multiplication(B,strong_iteration(B)),
% 4.77/5.02                               star(A)) ->
% 4.77/5.02  strong_iteration(A) addition multiplication(strong_iteration(B),star(A))
% 4.77/5.02  Current number of equations to process: 1387
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 329
% 4.77/5.02  New rule produced :
% 4.77/5.02  [345]
% 4.77/5.02  multiplication(star(A),star(B)) addition multiplication(star(C),C) ->
% 4.77/5.02  star(C) addition multiplication(star(A),star(B))
% 4.77/5.02  Rule
% 4.77/5.02  [173]
% 4.77/5.02  multiplication(star(A),star(B)) addition multiplication(star(A),A) ->
% 4.77/5.02  multiplication(star(A),star(B)) collapsed.
% 4.77/5.02  Rule
% 4.77/5.02  [203]
% 4.77/5.02  multiplication(star(A),star(B)) addition multiplication(star(B),B) ->
% 4.77/5.02  multiplication(star(A),star(B)) collapsed.
% 4.77/5.02  Current number of equations to process: 1386
% 4.77/5.02  Current number of ordered equations: 0
% 4.77/5.02  Current number of rules: 328
% 4.77/5.02  New rule produced :
% 4.77/5.02  [346]
% 4.77/5.02  multiplication(star(A),strong_iteration(B)) addition multiplication(star(C),C)
% 4.77/5.02  -> star(C) addition multiplication(star(A),strong_iteration(B))
% 4.77/5.02  Rule
% 4.77/5.02  [190]
% 4.77/5.02  multiplication(star(A),strong_iteration(B)) addition multiplication(star(A),A)
% 4.77/5.02  -> multiplication(star(A),strong_iteration(B)) collapsed.
% 4.88/5.08  Current number of equations to process: 1385
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 328
% 4.88/5.08  New rule produced :
% 4.88/5.08  [347]
% 4.88/5.08  multiplication(strong_iteration(A),star(B)) addition multiplication(star(C),C)
% 4.88/5.08  -> star(C) addition multiplication(strong_iteration(A),star(B))
% 4.88/5.08  Rule
% 4.88/5.08  [220]
% 4.88/5.08  multiplication(strong_iteration(A),star(B)) addition multiplication(star(B),B)
% 4.88/5.08  -> multiplication(strong_iteration(A),star(B)) collapsed.
% 4.88/5.08  Current number of equations to process: 1383
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 328
% 4.88/5.08  New rule produced :
% 4.88/5.08  [348]
% 4.88/5.08  multiplication(strong_iteration(A),star(B)) addition multiplication(C,
% 4.88/5.08                                                       star(C)) ->
% 4.88/5.08  star(C) addition multiplication(strong_iteration(A),star(B))
% 4.88/5.08  Current number of equations to process: 1379
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 329
% 4.88/5.08  New rule produced :
% 4.88/5.08  [349]
% 4.88/5.08  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(C,
% 4.88/5.08                                                                   star(C)) ->
% 4.88/5.08  star(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 4.88/5.08  Current number of equations to process: 1378
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 330
% 4.88/5.08  New rule produced :
% 4.88/5.08  [350]
% 4.88/5.08  multiplication(star(A),strong_iteration(B)) addition multiplication(C,
% 4.88/5.08                                                       star(C)) ->
% 4.88/5.08  star(C) addition multiplication(star(A),strong_iteration(B))
% 4.88/5.08  Current number of equations to process: 1377
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 331
% 4.88/5.08  New rule produced :
% 4.88/5.08  [351]
% 4.88/5.08  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 4.88/5.08                                                                   star(C),C)
% 4.88/5.08  -> star(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 4.88/5.08  Current number of equations to process: 1374
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 332
% 4.88/5.08  New rule produced :
% 4.88/5.08  [352]
% 4.88/5.08  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.88/5.08                                                                   star(A),B),C)
% 4.88/5.08  <-> multiplication(strong_iteration(A),multiplication(B,C))
% 4.88/5.08  Current number of equations to process: 1369
% 4.88/5.08  Current number of ordered equations: 1
% 4.88/5.08  Current number of rules: 333
% 4.88/5.08  New rule produced :
% 4.88/5.08  [353]
% 4.88/5.08  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 4.88/5.08  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.88/5.08                                                                   star(A),B),C)
% 4.88/5.08  Current number of equations to process: 1369
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 334
% 4.88/5.08  Rule [353]
% 4.88/5.08       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 4.88/5.08       multiplication(strong_iteration(A),zero) addition multiplication(
% 4.88/5.08                                                         multiplication(
% 4.88/5.08                                                         star(A),B),C) is composed into 
% 4.88/5.08  [353]
% 4.88/5.08  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 4.88/5.08  multiplication(multiplication(strong_iteration(A),B),C)
% 4.88/5.08  New rule produced :
% 4.88/5.08  [354]
% 4.88/5.08  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.88/5.08                                                                   star(A),B),C)
% 4.88/5.08  -> multiplication(multiplication(strong_iteration(A),B),C)
% 4.88/5.08  Rule
% 4.88/5.08  [352]
% 4.88/5.08  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(
% 4.88/5.08                                                                   star(A),B),C)
% 4.88/5.08  <-> multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 4.88/5.08  Current number of equations to process: 1368
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 334
% 4.88/5.08  New rule produced :
% 4.88/5.08  [355]
% 4.88/5.08  ifeq3(star(A) addition B,star(A),leq(one addition B,star(A)),true) -> true
% 4.88/5.08  Current number of equations to process: 1367
% 4.88/5.08  Current number of ordered equations: 0
% 4.88/5.08  Current number of rules: 335
% 4.88/5.08  New rule produced :
% 4.88/5.08  [356]
% 4.88/5.08  ifeq3(strong_iteration(A) addition B,strong_iteration(A),leq(one addition B,
% 4.88/5.08                                                           strong_iteration(A)),true)
% 5.25/5.50  -> true
% 5.25/5.50  Current number of equations to process: 1366
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 336
% 5.25/5.50  New rule produced :
% 5.25/5.50  [357]
% 5.25/5.50  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 5.25/5.50  <-> multiplication(A,multiplication(multiplication(B,C),V_3))
% 5.25/5.50  Current number of equations to process: 1361
% 5.25/5.50  Current number of ordered equations: 1
% 5.25/5.50  Current number of rules: 337
% 5.25/5.50  New rule produced :
% 5.25/5.50  [358]
% 5.25/5.50  multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 5.25/5.50  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 5.25/5.50  Current number of equations to process: 1361
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 338
% 5.25/5.50  New rule produced :
% 5.25/5.50  [359]
% 5.25/5.50  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 5.25/5.50  <-> multiplication(A,multiplication(B,multiplication(C,V_3)))
% 5.25/5.50  Current number of equations to process: 1360
% 5.25/5.50  Current number of ordered equations: 1
% 5.25/5.50  Current number of rules: 339
% 5.25/5.50  New rule produced :
% 5.25/5.50  [360]
% 5.25/5.50  multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 5.25/5.50  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 5.25/5.50  Current number of equations to process: 1360
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 340
% 5.25/5.50  New rule produced :
% 5.25/5.50  [361]
% 5.25/5.50  leq(multiplication(A,star(B)),multiplication(A,strong_iteration(B))) -> true
% 5.25/5.50  Current number of equations to process: 1373
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 341
% 5.25/5.50  New rule produced :
% 5.25/5.50  [362]
% 5.25/5.50  leq(multiplication(A,star(B)),multiplication(A,strong_iteration(B)) addition C)
% 5.25/5.50  -> true
% 5.25/5.50  Current number of equations to process: 1401
% 5.25/5.50  Current number of ordered equations: 1
% 5.25/5.50  Current number of rules: 342
% 5.25/5.50  New rule produced :
% 5.25/5.50  [363]
% 5.25/5.50  leq(multiplication(A,multiplication(strong_iteration(B),zero)),multiplication(A,
% 5.25/5.50                                                                 strong_iteration(B)))
% 5.25/5.50  -> true
% 5.25/5.50  Current number of equations to process: 1401
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 343
% 5.25/5.50  New rule produced :
% 5.25/5.50  [364]
% 5.25/5.50  leq(multiplication(A,multiplication(strong_iteration(B),zero)),multiplication(A,
% 5.25/5.50                                                                 strong_iteration(B)) addition C)
% 5.25/5.50  -> true
% 5.25/5.50  Current number of equations to process: 1437
% 5.25/5.50  Current number of ordered equations: 1
% 5.25/5.50  Current number of rules: 344
% 5.25/5.50  New rule produced :
% 5.25/5.50  [365]
% 5.25/5.50  leq(multiplication(A,star(B)) addition C,multiplication(A,strong_iteration(B)) addition C)
% 5.25/5.50  -> true
% 5.25/5.50  Current number of equations to process: 1437
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 345
% 5.25/5.50  New rule produced :
% 5.25/5.50  [366]
% 5.25/5.50  ifeq2(leq(one addition A,star(B)),true,star(B) addition A,star(B)) -> star(B)
% 5.25/5.50  Current number of equations to process: 1436
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 346
% 5.25/5.50  New rule produced :
% 5.25/5.50  [367]
% 5.25/5.50  ifeq2(leq(one addition A,strong_iteration(B)),true,strong_iteration(B) addition A,
% 5.25/5.50  strong_iteration(B)) -> strong_iteration(B)
% 5.25/5.50  Current number of equations to process: 1435
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 347
% 5.25/5.50  New rule produced :
% 5.25/5.50  [368]
% 5.25/5.50  multiplication(multiplication(A,B),star(C)) <->
% 5.25/5.50  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.25/5.50  multiplication(A,B)
% 5.25/5.50  Current number of equations to process: 1434
% 5.25/5.50  Current number of ordered equations: 1
% 5.25/5.50  Current number of rules: 348
% 5.25/5.50  New rule produced :
% 5.25/5.50  [369]
% 5.25/5.50  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.25/5.50  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.25/5.50  Current number of equations to process: 1434
% 5.25/5.50  Current number of ordered equations: 0
% 5.25/5.50  Current number of rules: 349
% 5.25/5.50  Rule [368]
% 5.25/5.50       multiplication(multiplication(A,B),star(C)) <->
% 5.25/5.50       multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.25/5.50       multiplication(A,B) is composed into [368]
% 5.25/5.50                                            multiplication(multiplication(A,B),
% 5.25/5.50                                            star(C)) <->
% 5.25/5.50                                            multiplication(A,multiplication(B,
% 5.25/5.50                                                             star(C)))
% 5.31/5.55  New rule produced :
% 5.31/5.55  [370]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.31/5.55  multiplication(A,B) -> multiplication(A,multiplication(B,star(C)))
% 5.31/5.55  Rule
% 5.31/5.55  [369]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(C,star(C)))) addition 
% 5.31/5.55  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.31/5.55  collapsed.
% 5.31/5.55  Current number of equations to process: 1433
% 5.31/5.55  Current number of ordered equations: 0
% 5.31/5.55  Current number of rules: 349
% 5.31/5.55  New rule produced :
% 5.31/5.55  [371]
% 5.31/5.55  multiplication(multiplication(A,multiplication(B,star(B))),C) addition 
% 5.31/5.55  multiplication(A,C) -> multiplication(multiplication(A,star(B)),C)
% 5.31/5.55  Current number of equations to process: 1432
% 5.31/5.55  Current number of ordered equations: 0
% 5.31/5.55  Current number of rules: 350
% 5.31/5.55  New rule produced :
% 5.31/5.55  [372]
% 5.31/5.55  multiplication(multiplication(A,B),star(C)) <->
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.31/5.55  multiplication(A,B)
% 5.31/5.55  Current number of equations to process: 1431
% 5.31/5.55  Current number of ordered equations: 1
% 5.31/5.55  Current number of rules: 351
% 5.31/5.55  New rule produced :
% 5.31/5.55  [373]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.31/5.55  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.31/5.55  Current number of equations to process: 1431
% 5.31/5.55  Current number of ordered equations: 0
% 5.31/5.55  Current number of rules: 352
% 5.31/5.55  Rule [372]
% 5.31/5.55       multiplication(multiplication(A,B),star(C)) <->
% 5.31/5.55       multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.31/5.55       multiplication(A,B) is composed into [372]
% 5.31/5.55                                            multiplication(multiplication(A,B),
% 5.31/5.55                                            star(C)) <->
% 5.31/5.55                                            multiplication(A,multiplication(B,
% 5.31/5.55                                                             star(C)))
% 5.31/5.55  New rule produced :
% 5.31/5.55  [374]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.31/5.55  multiplication(A,B) -> multiplication(A,multiplication(B,star(C)))
% 5.31/5.55  Rule
% 5.31/5.55  [373]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(star(C),C))) addition 
% 5.31/5.55  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.31/5.55  collapsed.
% 5.31/5.55  Current number of equations to process: 1430
% 5.31/5.55  Current number of ordered equations: 0
% 5.31/5.55  Current number of rules: 352
% 5.31/5.55  New rule produced :
% 5.31/5.55  [375]
% 5.31/5.55  multiplication(multiplication(A,multiplication(star(B),B)),C) addition 
% 5.31/5.55  multiplication(A,C) -> multiplication(multiplication(A,star(B)),C)
% 5.31/5.55  Current number of equations to process: 1429
% 5.31/5.55  Current number of ordered equations: 0
% 5.31/5.55  Current number of rules: 353
% 5.31/5.55  New rule produced :
% 5.31/5.55  [376]
% 5.31/5.55  multiplication(multiplication(A,B),strong_iteration(C)) <->
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.31/5.55  multiplication(A,B)
% 5.31/5.55  Current number of equations to process: 1428
% 5.31/5.55  Current number of ordered equations: 1
% 5.31/5.55  Current number of rules: 354
% 5.31/5.55  New rule produced :
% 5.31/5.55  [377]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.31/5.55  multiplication(A,B) <->
% 5.31/5.55  multiplication(multiplication(A,B),strong_iteration(C))
% 5.31/5.55  Current number of equations to process: 1428
% 5.31/5.55  Current number of ordered equations: 0
% 5.31/5.55  Current number of rules: 355
% 5.31/5.55  Rule [376]
% 5.31/5.55       multiplication(multiplication(A,B),strong_iteration(C)) <->
% 5.31/5.55       multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.31/5.55       multiplication(A,B) is composed into [376]
% 5.31/5.55                                            multiplication(multiplication(A,B),
% 5.31/5.55                                            strong_iteration(C)) <->
% 5.31/5.55                                            multiplication(A,multiplication(B,
% 5.31/5.55                                                             strong_iteration(C)))
% 5.31/5.55  New rule produced :
% 5.31/5.55  [378]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.31/5.55  multiplication(A,B) ->
% 5.31/5.55  multiplication(A,multiplication(B,strong_iteration(C)))
% 5.31/5.55  Rule
% 5.31/5.55  [377]
% 5.31/5.55  multiplication(A,multiplication(B,multiplication(C,strong_iteration(C)))) addition 
% 5.31/5.55  multiplication(A,B) <->
% 5.31/5.55  multiplication(multiplication(A,B),strong_iteration(C)) collapsed.
% 5.31/5.55  Current number of equations to process: 1427
% 5.31/5.55  Current number of ordered equations: 0
% 5.31/5.55  Current number of rules: 355
% 5.35/5.61  New rule produced :
% 5.35/5.61  [379]
% 5.35/5.61  multiplication(multiplication(A,multiplication(B,strong_iteration(B))),C) addition 
% 5.35/5.61  multiplication(A,C) ->
% 5.35/5.61  multiplication(multiplication(A,strong_iteration(B)),C)
% 5.35/5.61  Current number of equations to process: 1426
% 5.35/5.61  Current number of ordered equations: 0
% 5.35/5.61  Current number of rules: 356
% 5.35/5.61  New rule produced :
% 5.35/5.61  [380]
% 5.35/5.61  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.35/5.61  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.35/5.61  Current number of equations to process: 1425
% 5.35/5.61  Current number of ordered equations: 1
% 5.35/5.61  Current number of rules: 357
% 5.35/5.61  New rule produced :
% 5.35/5.61  [381]
% 5.35/5.61  multiplication(star(A),multiplication(B,C)) <->
% 5.35/5.61  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.35/5.61  multiplication(B,C)
% 5.35/5.61  Current number of equations to process: 1425
% 5.35/5.61  Current number of ordered equations: 0
% 5.35/5.61  Current number of rules: 358
% 5.35/5.61  New rule produced :
% 5.35/5.61  [382]
% 5.35/5.61  multiplication(A,multiplication(multiplication(B,star(B)),C)) addition 
% 5.35/5.61  multiplication(A,C) -> multiplication(A,multiplication(star(B),C))
% 5.35/5.61  Current number of equations to process: 1424
% 5.35/5.61  Current number of ordered equations: 0
% 5.35/5.61  Current number of rules: 359
% 5.35/5.61  Rule [381]
% 5.35/5.61       multiplication(star(A),multiplication(B,C)) <->
% 5.35/5.61       multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.35/5.61       multiplication(B,C) is composed into [381]
% 5.35/5.61                                            multiplication(star(A),multiplication(B,C))
% 5.35/5.61                                            <->
% 5.35/5.61                                            multiplication(multiplication(
% 5.35/5.61                                                           star(A),B),C)
% 5.35/5.61  New rule produced :
% 5.35/5.61  [383]
% 5.35/5.61  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.35/5.61  multiplication(B,C) -> multiplication(multiplication(star(A),B),C)
% 5.35/5.61  Rule
% 5.35/5.61  [380]
% 5.35/5.61  multiplication(multiplication(multiplication(A,star(A)),B),C) addition 
% 5.35/5.61  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.35/5.61  collapsed.
% 5.35/5.61  Current number of equations to process: 1423
% 5.35/5.61  Current number of ordered equations: 0
% 5.35/5.61  Current number of rules: 359
% 5.35/5.61  New rule produced :
% 5.35/5.61  [384]
% 5.35/5.61  multiplication(star(A),multiplication(B,C)) <->
% 5.35/5.61  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.35/5.61  multiplication(B,C)
% 5.35/5.61  Current number of equations to process: 1422
% 5.35/5.61  Current number of ordered equations: 1
% 5.35/5.61  Current number of rules: 360
% 5.35/5.61  New rule produced :
% 5.35/5.61  [385]
% 5.35/5.61  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.35/5.61  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.35/5.61  Current number of equations to process: 1422
% 5.35/5.61  Current number of ordered equations: 0
% 5.35/5.61  Current number of rules: 361
% 5.35/5.61  New rule produced :
% 5.35/5.61  [386]
% 5.35/5.61  multiplication(A,multiplication(multiplication(star(B),B),C)) addition 
% 5.35/5.61  multiplication(A,C) -> multiplication(A,multiplication(star(B),C))
% 5.35/5.61  Current number of equations to process: 1421
% 5.35/5.61  Current number of ordered equations: 0
% 5.35/5.61  Current number of rules: 362
% 5.35/5.61  Rule [384]
% 5.35/5.61       multiplication(star(A),multiplication(B,C)) <->
% 5.35/5.61       multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.35/5.61       multiplication(B,C) is composed into [384]
% 5.35/5.61                                            multiplication(star(A),multiplication(B,C))
% 5.35/5.61                                            <->
% 5.35/5.61                                            multiplication(multiplication(
% 5.35/5.61                                                           star(A),B),C)
% 5.35/5.61  New rule produced :
% 5.35/5.61  [387]
% 5.35/5.61  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.35/5.61  multiplication(B,C) -> multiplication(multiplication(star(A),B),C)
% 5.35/5.61  Rule
% 5.35/5.61  [385]
% 5.35/5.61  multiplication(multiplication(multiplication(star(A),A),B),C) addition 
% 5.35/5.61  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.35/5.61  collapsed.
% 5.35/5.61  Current number of equations to process: 1420
% 5.35/5.61  Current number of ordered equations: 0
% 5.35/5.61  Current number of rules: 362
% 5.35/5.61  New rule produced :
% 5.35/5.61  [388]
% 5.35/5.61  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 5.35/5.61  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.35/5.61  multiplication(B,C)
% 5.35/5.61  Current number of equations to process: 1419
% 5.35/5.61  Current number of ordered equations: 1
% 5.35/5.61  Current number of rules: 363
% 5.35/5.61  New rule produced :
% 5.44/5.68  [389]
% 5.44/5.68  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.44/5.68  multiplication(B,C) <->
% 5.44/5.68  multiplication(strong_iteration(A),multiplication(B,C))
% 5.44/5.68  Current number of equations to process: 1419
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 364
% 5.44/5.68  New rule produced :
% 5.44/5.68  [390]
% 5.44/5.68  multiplication(A,multiplication(multiplication(B,strong_iteration(B)),C)) addition 
% 5.44/5.68  multiplication(A,C) ->
% 5.44/5.68  multiplication(A,multiplication(strong_iteration(B),C))
% 5.44/5.68  Current number of equations to process: 1418
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 365
% 5.44/5.68  Rule [388]
% 5.44/5.68       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 5.44/5.68       multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.44/5.68       multiplication(B,C) is composed into [388]
% 5.44/5.68                                            multiplication(strong_iteration(A),
% 5.44/5.68                                            multiplication(B,C)) <->
% 5.44/5.68                                            multiplication(multiplication(
% 5.44/5.68                                                           strong_iteration(A),B),C)
% 5.44/5.68  New rule produced :
% 5.44/5.68  [391]
% 5.44/5.68  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.44/5.68  multiplication(B,C) ->
% 5.44/5.68  multiplication(multiplication(strong_iteration(A),B),C)
% 5.44/5.68  Rule
% 5.44/5.68  [389]
% 5.44/5.68  multiplication(multiplication(multiplication(A,strong_iteration(A)),B),C) addition 
% 5.44/5.68  multiplication(B,C) <->
% 5.44/5.68  multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 5.44/5.68  Current number of equations to process: 1417
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 365
% 5.44/5.68  New rule produced :
% 5.44/5.68  [392]
% 5.44/5.68  multiplication(multiplication(A,B),multiplication(C,star(multiplication(B,C)))) addition A
% 5.44/5.68  -> multiplication(A,star(multiplication(B,C)))
% 5.44/5.68  Current number of equations to process: 1416
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 366
% 5.44/5.68  New rule produced :
% 5.44/5.68  [393]
% 5.44/5.68  multiplication(multiplication(A,B),multiplication(C,strong_iteration(
% 5.44/5.68                                                      multiplication(B,C)))) addition A
% 5.44/5.68  -> multiplication(A,strong_iteration(multiplication(B,C)))
% 5.44/5.68  Current number of equations to process: 1415
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 367
% 5.44/5.68  New rule produced :
% 5.44/5.68  [394]
% 5.44/5.68  multiplication(multiplication(A,B),star(C)) <->
% 5.44/5.68  multiplication(A,multiplication(multiplication(B,C),star(C))) addition 
% 5.44/5.68  multiplication(A,B)
% 5.44/5.68  Current number of equations to process: 1414
% 5.44/5.68  Current number of ordered equations: 1
% 5.44/5.68  Current number of rules: 368
% 5.44/5.68  New rule produced :
% 5.44/5.68  [395]
% 5.44/5.68  multiplication(A,multiplication(multiplication(B,C),star(C))) addition 
% 5.44/5.68  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.44/5.68  Current number of equations to process: 1414
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 369
% 5.44/5.68  New rule produced :
% 5.44/5.68  [396]
% 5.44/5.68  multiplication(multiplication(A,B),star(C)) <->
% 5.44/5.68  multiplication(A,multiplication(multiplication(B,star(C)),C)) addition 
% 5.44/5.68  multiplication(A,B)
% 5.44/5.68  Current number of equations to process: 1413
% 5.44/5.68  Current number of ordered equations: 1
% 5.44/5.68  Current number of rules: 370
% 5.44/5.68  New rule produced :
% 5.44/5.68  [397]
% 5.44/5.68  multiplication(A,multiplication(multiplication(B,star(C)),C)) addition 
% 5.44/5.68  multiplication(A,B) <-> multiplication(multiplication(A,B),star(C))
% 5.44/5.68  Current number of equations to process: 1413
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 371
% 5.44/5.68  New rule produced :
% 5.44/5.68  [398]
% 5.44/5.68  multiplication(A,multiplication(multiplication(B,C),strong_iteration(C))) addition 
% 5.44/5.68  multiplication(A,B) <->
% 5.44/5.68  multiplication(multiplication(A,B),strong_iteration(C))
% 5.44/5.68  Current number of equations to process: 1412
% 5.44/5.68  Current number of ordered equations: 1
% 5.44/5.68  Current number of rules: 372
% 5.44/5.68  New rule produced :
% 5.44/5.68  [399]
% 5.44/5.68  multiplication(multiplication(A,B),strong_iteration(C)) <->
% 5.44/5.68  multiplication(A,multiplication(multiplication(B,C),strong_iteration(C))) addition 
% 5.44/5.68  multiplication(A,B)
% 5.44/5.68  Current number of equations to process: 1412
% 5.44/5.68  Current number of ordered equations: 0
% 5.44/5.68  Current number of rules: 373
% 5.44/5.68  New rule produced :
% 5.44/5.68  [400]
% 5.44/5.68  multiplication(multiplication(star(multiplication(A,B)),A),multiplication(B,C)) addition C
% 5.44/5.68  -> multiplication(star(multiplication(A,B)),C)
% 5.61/5.84  Current number of equations to process: 1411
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 374
% 5.61/5.84  New rule produced :
% 5.61/5.84  [401]
% 5.61/5.84  multiplication(multiplication(A,multiplication(star(A),B)),C) addition 
% 5.61/5.84  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.61/5.84  Current number of equations to process: 1410
% 5.61/5.84  Current number of ordered equations: 1
% 5.61/5.84  Current number of rules: 375
% 5.61/5.84  New rule produced :
% 5.61/5.84  [402]
% 5.61/5.84  multiplication(star(A),multiplication(B,C)) <->
% 5.61/5.84  multiplication(multiplication(A,multiplication(star(A),B)),C) addition 
% 5.61/5.84  multiplication(B,C)
% 5.61/5.84  Current number of equations to process: 1410
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 376
% 5.61/5.84  New rule produced :
% 5.61/5.84  [403]
% 5.61/5.84  multiplication(star(A),multiplication(B,C)) <->
% 5.61/5.84  multiplication(multiplication(star(A),multiplication(A,B)),C) addition 
% 5.61/5.84  multiplication(B,C)
% 5.61/5.84  Current number of equations to process: 1409
% 5.61/5.84  Current number of ordered equations: 1
% 5.61/5.84  Current number of rules: 377
% 5.61/5.84  New rule produced :
% 5.61/5.84  [404]
% 5.61/5.84  multiplication(multiplication(star(A),multiplication(A,B)),C) addition 
% 5.61/5.84  multiplication(B,C) <-> multiplication(star(A),multiplication(B,C))
% 5.61/5.84  Current number of equations to process: 1409
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 378
% 5.61/5.84  New rule produced :
% 5.61/5.84  [405]
% 5.61/5.84  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 5.61/5.84  multiplication(multiplication(A,multiplication(strong_iteration(A),B)),C) addition 
% 5.61/5.84  multiplication(B,C)
% 5.61/5.84  Current number of equations to process: 1408
% 5.61/5.84  Current number of ordered equations: 1
% 5.61/5.84  Current number of rules: 379
% 5.61/5.84  New rule produced :
% 5.61/5.84  [406]
% 5.61/5.84  multiplication(multiplication(A,multiplication(strong_iteration(A),B)),C) addition 
% 5.61/5.84  multiplication(B,C) <->
% 5.61/5.84  multiplication(strong_iteration(A),multiplication(B,C))
% 5.61/5.84  Current number of equations to process: 1408
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 380
% 5.61/5.84  New rule produced :
% 5.61/5.84  [407]
% 5.61/5.84  multiplication(multiplication(multiplication(A,B),C),star(multiplication(B,C))) addition A
% 5.61/5.84  -> multiplication(A,star(multiplication(B,C)))
% 5.61/5.84  Current number of equations to process: 1407
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 381
% 5.61/5.84  New rule produced :
% 5.61/5.84  [408]
% 5.61/5.84  multiplication(multiplication(multiplication(A,B),C),strong_iteration(
% 5.61/5.84                                                       multiplication(B,C))) addition A
% 5.61/5.84  -> multiplication(A,strong_iteration(multiplication(B,C)))
% 5.61/5.84  Current number of equations to process: 1406
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 382
% 5.61/5.84  New rule produced :
% 5.61/5.84  [409]
% 5.61/5.84  multiplication(star(multiplication(A,B)),multiplication(A,multiplication(B,C))) addition C
% 5.61/5.84  -> multiplication(star(multiplication(A,B)),C)
% 5.61/5.84  Current number of equations to process: 1405
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 383
% 5.61/5.84  New rule produced :
% 5.61/5.84  [410]
% 5.61/5.84  star(star(A)) addition multiplication(star(star(A)),multiplication(strong_iteration(A),zero))
% 5.61/5.84  -> multiplication(star(star(A)),strong_iteration(A))
% 5.61/5.84  Current number of equations to process: 1404
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 384
% 5.61/5.84  New rule produced :
% 5.61/5.84  [411]
% 5.61/5.84  ifeq3(star(A) addition B,one addition B,leq(star(A),one addition B),true) ->
% 5.61/5.84  true
% 5.61/5.84  Current number of equations to process: 1413
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 385
% 5.61/5.84  New rule produced :
% 5.61/5.84  [412]
% 5.61/5.84  ifeq3(strong_iteration(A) addition B,one addition B,leq(strong_iteration(A),
% 5.61/5.84                                                      one addition B),true) ->
% 5.61/5.84  true
% 5.61/5.84  Current number of equations to process: 1412
% 5.61/5.84  Current number of ordered equations: 0
% 5.61/5.84  Current number of rules: 386
% 5.61/5.84  New rule produced :
% 5.61/5.84  [413]
% 5.61/5.84  ifeq3(strong_iteration(A) addition B,star(A),leq(strong_iteration(A) addition B,
% 5.61/5.84                                               star(A)),true) -> true
% 5.61/5.84  Current number of equations to process: 1410
% 5.61/5.84  Current number of ordered equations: 1
% 5.61/5.84  Current number of rules: 387
% 5.61/5.84  New rule produced :
% 5.61/5.84  [414]
% 5.61/5.84  ifeq3(strong_iteration(A) addition B,strong_iteration(A),leq(star(A) addition B,
% 5.61/5.84                                                           strong_iteration(A)),true)
% 5.61/5.84  -> true
% 5.61/5.84  Current number of equations to process: 1410
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 388
% 5.68/5.92  New rule produced :
% 5.68/5.92  [415]
% 5.68/5.92  ifeq3(star(A),multiplication(star(A),A),leq(star(A),multiplication(star(A),A)),true)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1409
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 389
% 5.68/5.92  New rule produced :
% 5.68/5.92  [416]
% 5.68/5.92  ifeq(leq(A,star(A)),true,leq(A,multiplication(strong_iteration(star(A)),
% 5.68/5.92                                 star(A))),true) -> true
% 5.68/5.92  Current number of equations to process: 1408
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 390
% 5.68/5.92  New rule produced :
% 5.68/5.92  [417]
% 5.68/5.92  ifeq(leq(star(A),A),true,leq(multiplication(star(star(A)),star(A)),A),true)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1407
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 391
% 5.68/5.92  New rule produced :
% 5.68/5.92  [418]
% 5.68/5.92  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),zero),leq(
% 5.68/5.92                                                                     strong_iteration(A),
% 5.68/5.92                                                                     multiplication(
% 5.68/5.92                                                                     strong_iteration(A),zero)),true)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1406
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 392
% 5.68/5.92  New rule produced :
% 5.68/5.92  [419]
% 5.68/5.92  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(strong_iteration(A)),
% 5.68/5.92                                              strong_iteration(A)),zero),true)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1405
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 393
% 5.68/5.92  New rule produced :
% 5.68/5.92  [420]
% 5.68/5.92  ifeq3(multiplication(A,B),multiplication(A,zero),leq(multiplication(A,B),
% 5.68/5.92                                                   multiplication(A,zero)),true)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1404
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 394
% 5.68/5.92  New rule produced :
% 5.68/5.92  [421]
% 5.68/5.92  ifeq3(multiplication(A,star(B)),A,leq(multiplication(A,multiplication(B,
% 5.68/5.92                                                         star(B))),A),true) ->
% 5.68/5.92  true
% 5.68/5.92  Current number of equations to process: 1402
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 395
% 5.68/5.92  New rule produced :
% 5.68/5.92  [422]
% 5.68/5.92  ifeq2(leq(multiplication(A,multiplication(B,star(B))),A),true,multiplication(A,
% 5.68/5.92                                                                star(B)),A) ->
% 5.68/5.92  A
% 5.68/5.92  Current number of equations to process: 1401
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 396
% 5.68/5.92  New rule produced :
% 5.68/5.92  [423]
% 5.68/5.92  leq(multiplication(A,multiplication(B,star(B))) addition C,multiplication(A,
% 5.68/5.92                                                             star(B)) addition C)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1399
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 397
% 5.68/5.92  New rule produced :
% 5.68/5.92  [424]
% 5.68/5.92  ifeq3(multiplication(A,star(B)),A,leq(multiplication(A,multiplication(
% 5.68/5.92                                                         star(B),B)),A),true)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1398
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 398
% 5.68/5.92  New rule produced :
% 5.68/5.92  [425]
% 5.68/5.92  ifeq2(leq(multiplication(A,multiplication(star(B),B)),A),true,multiplication(A,
% 5.68/5.92                                                                star(B)),A) ->
% 5.68/5.92  A
% 5.68/5.92  Current number of equations to process: 1397
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 399
% 5.68/5.92  New rule produced :
% 5.68/5.92  [426]
% 5.68/5.92  leq(multiplication(A,multiplication(star(B),B)) addition C,multiplication(A,
% 5.68/5.92                                                             star(B)) addition C)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1396
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 400
% 5.68/5.92  New rule produced :
% 5.68/5.92  [427]
% 5.68/5.92  ifeq3(multiplication(A,strong_iteration(B)),A,leq(multiplication(A,multiplication(B,
% 5.68/5.92                                                                     strong_iteration(B))),A),true)
% 5.68/5.92  -> true
% 5.68/5.92  Current number of equations to process: 1394
% 5.68/5.92  Current number of ordered equations: 0
% 5.68/5.92  Current number of rules: 401
% 5.68/5.92  New rule produced :
% 5.68/5.92  [428]
% 5.68/5.92  ifeq2(leq(multiplication(A,multiplication(B,strong_iteration(B))),A),true,
% 5.82/6.01  multiplication(A,strong_iteration(B)),A) -> A
% 5.82/6.01  Current number of equations to process: 1393
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 402
% 5.82/6.01  New rule produced :
% 5.82/6.01  [429]
% 5.82/6.01  leq(multiplication(A,multiplication(B,strong_iteration(B))) addition C,
% 5.82/6.01  multiplication(A,strong_iteration(B)) addition C) -> true
% 5.82/6.01  Current number of equations to process: 1391
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 403
% 5.82/6.01  New rule produced :
% 5.82/6.01  [430]
% 5.82/6.01  ifeq3(multiplication(star(A),B),B,leq(multiplication(multiplication(A,
% 5.82/6.01                                                       star(A)),B),B),true) ->
% 5.82/6.01  true
% 5.82/6.01  Current number of equations to process: 1390
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 404
% 5.82/6.01  New rule produced :
% 5.82/6.01  [431]
% 5.82/6.01  ifeq2(leq(multiplication(multiplication(A,star(A)),B),B),true,multiplication(
% 5.82/6.01                                                                star(A),B),B)
% 5.82/6.01  -> B
% 5.82/6.01  Current number of equations to process: 1389
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 405
% 5.82/6.01  New rule produced :
% 5.82/6.01  [432]
% 5.82/6.01  leq(multiplication(multiplication(A,star(A)),B) addition C,multiplication(
% 5.82/6.01                                                             star(A),B) addition C)
% 5.82/6.01  -> true
% 5.82/6.01  Current number of equations to process: 1387
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 406
% 5.82/6.01  New rule produced :
% 5.82/6.01  [433]
% 5.82/6.01  ifeq3(multiplication(star(A),B),B,leq(multiplication(multiplication(star(A),A),B),B),true)
% 5.82/6.01  -> true
% 5.82/6.01  Current number of equations to process: 1386
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 407
% 5.82/6.01  New rule produced :
% 5.82/6.01  [434]
% 5.82/6.01  ifeq2(leq(multiplication(multiplication(star(A),A),B),B),true,multiplication(
% 5.82/6.01                                                                star(A),B),B)
% 5.82/6.01  -> B
% 5.82/6.01  Current number of equations to process: 1385
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 408
% 5.82/6.01  New rule produced :
% 5.82/6.01  [435]
% 5.82/6.01  leq(multiplication(multiplication(star(A),A),B) addition C,multiplication(
% 5.82/6.01                                                             star(A),B) addition C)
% 5.82/6.01  -> true
% 5.82/6.01  Current number of equations to process: 1384
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 409
% 5.82/6.01  New rule produced :
% 5.82/6.01  [436]
% 5.82/6.01  ifeq3(multiplication(strong_iteration(A),B),B,leq(multiplication(multiplication(A,
% 5.82/6.01                                                                   strong_iteration(A)),B),B),true)
% 5.82/6.01  -> true
% 5.82/6.01  Current number of equations to process: 1383
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 410
% 5.82/6.01  New rule produced :
% 5.82/6.01  [437]
% 5.82/6.01  ifeq2(leq(multiplication(multiplication(A,strong_iteration(A)),B),B),true,
% 5.82/6.01  multiplication(strong_iteration(A),B),B) -> B
% 5.82/6.01  Current number of equations to process: 1382
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 411
% 5.82/6.01  New rule produced :
% 5.82/6.01  [438]
% 5.82/6.01  leq(multiplication(multiplication(A,strong_iteration(A)),B) addition C,
% 5.82/6.01  multiplication(strong_iteration(A),B) addition C) -> true
% 5.82/6.01  Current number of equations to process: 1380
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 412
% 5.82/6.01  New rule produced :
% 5.82/6.01  [439]
% 5.82/6.01  multiplication(A,star(C)) addition multiplication(A,multiplication(star(B),B))
% 5.82/6.01  -> multiplication(A,star(B)) addition multiplication(A,star(C))
% 5.82/6.01  Rule
% 5.82/6.01  [160]
% 5.82/6.01  multiplication(A,star(B)) addition multiplication(A,multiplication(star(B),B))
% 5.82/6.01  -> multiplication(A,star(B)) collapsed.
% 5.82/6.01  Current number of equations to process: 1379
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 412
% 5.82/6.01  New rule produced :
% 5.82/6.01  [440]
% 5.82/6.01  multiplication(star(C),B) addition multiplication(multiplication(star(A),A),B)
% 5.82/6.01  -> multiplication(star(A),B) addition multiplication(star(C),B)
% 5.82/6.01  Rule
% 5.82/6.01  [161]
% 5.82/6.01  multiplication(star(A),B) addition multiplication(multiplication(star(A),A),B)
% 5.82/6.01  -> multiplication(star(A),B) collapsed.
% 5.82/6.01  Current number of equations to process: 1378
% 5.82/6.01  Current number of ordered equations: 0
% 5.82/6.01  Current number of rules: 412
% 5.82/6.01  New rule produced :
% 5.82/6.01  [441]
% 5.82/6.01  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(C,
% 5.82/6.01                                                                  star(C))) ->
% 5.82/6.01  multiplication(A,strong_iteration(B)) addition multiplication(A,star(C))
% 6.75/6.94  Current number of equations to process: 1375
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 413
% 6.75/6.94  New rule produced :
% 6.75/6.94  [442]
% 6.75/6.94  multiplication(strong_iteration(A),B) addition multiplication(multiplication(C,
% 6.75/6.94                                                                star(C)),B) ->
% 6.75/6.94  multiplication(strong_iteration(A),B) addition multiplication(star(C),B)
% 6.75/6.94  Current number of equations to process: 1374
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 414
% 6.75/6.94  New rule produced :
% 6.75/6.94  [443]
% 6.75/6.94  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(
% 6.75/6.94                                                                  star(C),C))
% 6.75/6.94  -> multiplication(A,strong_iteration(B)) addition multiplication(A,star(C))
% 6.75/6.94  Current number of equations to process: 1373
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 415
% 6.75/6.94  New rule produced :
% 6.75/6.94  [444]
% 6.75/6.94  multiplication(strong_iteration(A),B) addition multiplication(multiplication(
% 6.75/6.94                                                                star(C),C),B)
% 6.75/6.94  -> multiplication(strong_iteration(A),B) addition multiplication(star(C),B)
% 6.75/6.94  Current number of equations to process: 1372
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 416
% 6.75/6.94  New rule produced :
% 6.75/6.94  [445]
% 6.75/6.94  ifeq3(star(A),multiplication(A,star(A)),leq(star(A),multiplication(A,star(A))),true)
% 6.75/6.94  -> true
% 6.75/6.94  Current number of equations to process: 1371
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 417
% 6.75/6.94  New rule produced :
% 6.75/6.94  [446]
% 6.75/6.94  ifeq3(strong_iteration(A),multiplication(A,strong_iteration(A)),leq(strong_iteration(A),
% 6.75/6.94                                                                  multiplication(A,
% 6.75/6.94                                                                  strong_iteration(A))),true)
% 6.75/6.94  -> true
% 6.75/6.94  Current number of equations to process: 1369
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 418
% 6.75/6.94  New rule produced :
% 6.75/6.94  [447]
% 6.75/6.94  leq(multiplication(A,star(B)) addition C,multiplication(A,strong_iteration(B)) addition C addition V_3)
% 6.75/6.94  -> true
% 6.75/6.94  Current number of equations to process: 1364
% 6.75/6.94  Current number of ordered equations: 1
% 6.75/6.94  Current number of rules: 419
% 6.75/6.94  New rule produced :
% 6.75/6.94  [448]
% 6.75/6.94  leq(multiplication(A,multiplication(strong_iteration(B),zero)) addition C,
% 6.75/6.94  multiplication(A,strong_iteration(B)) addition C) -> true
% 6.75/6.94  Current number of equations to process: 1364
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 420
% 6.75/6.94  New rule produced :
% 6.75/6.94  [449]
% 6.75/6.94  ifeq2(leq(star(A) addition B,strong_iteration(A)),true,strong_iteration(A) addition B,
% 6.75/6.94  strong_iteration(A)) -> strong_iteration(A)
% 6.75/6.94  Current number of equations to process: 1544
% 6.75/6.94  Current number of ordered equations: 1
% 6.75/6.94  Current number of rules: 421
% 6.75/6.94  New rule produced :
% 6.75/6.94  [450]
% 6.75/6.94  ifeq2(leq(strong_iteration(A) addition B,star(A)),true,strong_iteration(A) addition B,
% 6.75/6.94  star(A)) -> star(A)
% 6.75/6.94  Current number of equations to process: 1544
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 422
% 6.75/6.94  New rule produced :
% 6.75/6.94  [451]
% 6.75/6.94  multiplication(A,multiplication(strong_iteration(B),zero)) addition multiplication(A,
% 6.75/6.94                                                                      multiplication(
% 6.75/6.94                                                                      star(B),C))
% 6.75/6.94  -> multiplication(A,multiplication(strong_iteration(B),C))
% 6.75/6.94  Current number of equations to process: 1537
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 423
% 6.75/6.94  New rule produced :
% 6.75/6.94  [452]
% 6.75/6.94  multiplication(multiplication(A,star(B)),C) addition multiplication(A,
% 6.75/6.94                                                       multiplication(strong_iteration(B),zero))
% 6.75/6.94  -> multiplication(multiplication(A,strong_iteration(B)),C)
% 6.75/6.94  Current number of equations to process: 1534
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 424
% 6.75/6.94  New rule produced : [453] leq(A,strong_iteration(one)) -> true
% 6.75/6.94  Current number of equations to process: 1542
% 6.75/6.94  Current number of ordered equations: 0
% 6.75/6.94  Current number of rules: 425
% 6.75/6.94  New rule produced :
% 6.75/6.94  [454]
% 6.75/6.94  multiplication(strong_iteration(one),A) addition B ->
% 6.75/6.94  multiplication(strong_iteration(one),A)
% 6.75/6.94  Current number of equations to process: 1545
% 6.75/6.94  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 426
% 6.99/7.18  New rule produced :
% 6.99/7.18  [455]
% 6.99/7.18  leq(A,multiplication(multiplication(strong_iteration(one),B),C)) -> true
% 6.99/7.18  Current number of equations to process: 1544
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 427
% 6.99/7.18  New rule produced :
% 6.99/7.18  [456]
% 6.99/7.18  ifeq3(strong_iteration(one),multiplication(strong_iteration(one),zero),true,true)
% 6.99/7.18  -> true
% 6.99/7.18  Current number of equations to process: 1546
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 428
% 6.99/7.18  New rule produced :
% 6.99/7.18  [457]
% 6.99/7.18  multiplication(strong_iteration(one),star(strong_iteration(one))) ->
% 6.99/7.18  star(strong_iteration(one))
% 6.99/7.18  Current number of equations to process: 1546
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 429
% 6.99/7.18  New rule produced :
% 6.99/7.18  [458]
% 6.99/7.18  multiplication(strong_iteration(one),strong_iteration(strong_iteration(one)))
% 6.99/7.18  -> strong_iteration(strong_iteration(one))
% 6.99/7.18  Current number of equations to process: 1546
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 430
% 6.99/7.18  New rule produced :
% 6.99/7.18  [459]
% 6.99/7.18  ifeq(leq(one,A),true,leq(one,multiplication(strong_iteration(A),zero)),true)
% 6.99/7.18  -> true
% 6.99/7.18  Current number of equations to process: 1547
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 431
% 6.99/7.18  New rule produced :
% 6.99/7.18  [460]
% 6.99/7.18  leq(A,multiplication(strong_iteration(strong_iteration(one)),zero)) -> true
% 6.99/7.18  Current number of equations to process: 1557
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 432
% 6.99/7.18  New rule produced :
% 6.99/7.18  [461] ifeq(leq(A,star(A)),true,leq(A,strong_iteration(star(A))),true) -> true
% 6.99/7.18  Current number of equations to process: 1561
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 433
% 6.99/7.18  New rule produced :
% 6.99/7.18  [462]
% 6.99/7.18  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 6.99/7.18                                                          star(B)))) -> true
% 6.99/7.18  Current number of equations to process: 1581
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 434
% 6.99/7.18  New rule produced :
% 6.99/7.18  [463]
% 6.99/7.18  leq(one,multiplication(strong_iteration(one addition A),multiplication(
% 6.99/7.18                                                          star(B),B))) -> true
% 6.99/7.18  Current number of equations to process: 1580
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 435
% 6.99/7.18  New rule produced :
% 6.99/7.18  [464]
% 6.99/7.18  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 6.99/7.18                                                          strong_iteration(B))))
% 6.99/7.18  -> true
% 6.99/7.18  Current number of equations to process: 1579
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 436
% 6.99/7.18  New rule produced :
% 6.99/7.18  [465]
% 6.99/7.18  ifeq(leq(one,A),true,leq(one,multiplication(strong_iteration(A),A)),true) ->
% 6.99/7.18  true
% 6.99/7.18  Current number of equations to process: 1579
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 437
% 6.99/7.18  New rule produced :
% 6.99/7.18  [466]
% 6.99/7.18  leq(one,multiplication(strong_iteration(one addition A),star(B))) -> true
% 6.99/7.18  Current number of equations to process: 1579
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 438
% 6.99/7.18  New rule produced :
% 6.99/7.18  [467]
% 6.99/7.18  leq(one,multiplication(strong_iteration(one addition A),strong_iteration(B)))
% 6.99/7.18  -> true
% 6.99/7.18  Current number of equations to process: 1579
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 439
% 6.99/7.18  New rule produced :
% 6.99/7.18  [468]
% 6.99/7.18  leq(one,multiplication(strong_iteration(strong_iteration(A)),star(A))) ->
% 6.99/7.18  true
% 6.99/7.18  Current number of equations to process: 1581
% 6.99/7.18  Current number of ordered equations: 1
% 6.99/7.18  Current number of rules: 440
% 6.99/7.18  New rule produced :
% 6.99/7.18  [469]
% 6.99/7.18  leq(one,multiplication(strong_iteration(star(A)),strong_iteration(A))) ->
% 6.99/7.18  true
% 6.99/7.18  Current number of equations to process: 1581
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 441
% 6.99/7.18  New rule produced :
% 6.99/7.18  [470]
% 6.99/7.18  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 6.99/7.18          star(A))) -> true
% 6.99/7.18  Current number of equations to process: 1579
% 6.99/7.18  Current number of ordered equations: 1
% 6.99/7.18  Current number of rules: 442
% 6.99/7.18  New rule produced :
% 6.99/7.18  [471]
% 6.99/7.18  leq(one,multiplication(strong_iteration(star(A) addition B),strong_iteration(A)))
% 6.99/7.18  -> true
% 6.99/7.18  Current number of equations to process: 1579
% 6.99/7.18  Current number of ordered equations: 0
% 6.99/7.18  Current number of rules: 443
% 6.99/7.18  New rule produced :
% 7.17/7.37  [472] leq(one,multiplication(strong_iteration(one addition A),B)) -> true
% 7.17/7.37  Rule
% 7.17/7.37  [462]
% 7.17/7.37  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 7.17/7.37                                                          star(B)))) -> true
% 7.17/7.37  collapsed.
% 7.17/7.37  Rule
% 7.17/7.37  [463]
% 7.17/7.37  leq(one,multiplication(strong_iteration(one addition A),multiplication(
% 7.17/7.37                                                          star(B),B))) -> true
% 7.17/7.37  collapsed.
% 7.17/7.37  Rule
% 7.17/7.37  [464]
% 7.17/7.37  leq(one,multiplication(strong_iteration(one addition A),multiplication(B,
% 7.17/7.37                                                          strong_iteration(B))))
% 7.17/7.37  -> true collapsed.
% 7.17/7.37  Rule
% 7.17/7.37  [466]
% 7.17/7.37  leq(one,multiplication(strong_iteration(one addition A),star(B))) -> true
% 7.17/7.37  collapsed.
% 7.17/7.37  Rule
% 7.17/7.37  [467]
% 7.17/7.37  leq(one,multiplication(strong_iteration(one addition A),strong_iteration(B)))
% 7.17/7.37  -> true collapsed.
% 7.17/7.37  Current number of equations to process: 1583
% 7.17/7.37  Current number of ordered equations: 0
% 7.17/7.37  Current number of rules: 439
% 7.17/7.37  New rule produced :
% 7.17/7.37  [473]
% 7.17/7.37  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(A),A)))
% 7.17/7.37  -> true
% 7.17/7.37  Current number of equations to process: 1581
% 7.17/7.37  Current number of ordered equations: 1
% 7.17/7.37  Current number of rules: 440
% 7.17/7.37  New rule produced :
% 7.17/7.37  [474]
% 7.17/7.37  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(A)))
% 7.17/7.37  -> true
% 7.17/7.37  Current number of equations to process: 1581
% 7.17/7.37  Current number of ordered equations: 0
% 7.17/7.37  Current number of rules: 441
% 7.17/7.37  New rule produced :
% 7.17/7.37  [475]
% 7.17/7.37  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(B)))
% 7.17/7.37  -> true
% 7.17/7.37  Rule
% 7.17/7.37  [474]
% 7.17/7.37  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(A)))
% 7.17/7.37  -> true collapsed.
% 7.17/7.37  Current number of equations to process: 1610
% 7.17/7.37  Current number of ordered equations: 1
% 7.17/7.37  Current number of rules: 441
% 7.17/7.37  New rule produced :
% 7.17/7.37  [476]
% 7.17/7.37  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(B),B)))
% 7.17/7.37  -> true
% 7.17/7.37  Rule
% 7.17/7.37  [473]
% 7.17/7.37  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(A),A)))
% 7.17/7.37  -> true collapsed.
% 7.17/7.37  Current number of equations to process: 1610
% 7.17/7.37  Current number of ordered equations: 0
% 7.17/7.37  Current number of rules: 441
% 7.17/7.37  New rule produced :
% 7.17/7.37  [477]
% 7.17/7.37  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(B,
% 7.17/7.37                                                               star(B)))) ->
% 7.17/7.37  true
% 7.17/7.37  Current number of equations to process: 1614
% 7.17/7.37  Current number of ordered equations: 1
% 7.17/7.37  Current number of rules: 442
% 7.17/7.37  New rule produced :
% 7.17/7.37  [478]
% 7.17/7.37  leq(one,multiplication(strong_iteration(multiplication(A,star(A))),strong_iteration(B)))
% 7.17/7.37  -> true
% 7.17/7.37  Current number of equations to process: 1614
% 7.17/7.37  Current number of ordered equations: 0
% 7.17/7.37  Current number of rules: 443
% 7.17/7.37  New rule produced :
% 7.17/7.37  [479]
% 7.17/7.37  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(
% 7.17/7.37                                                               star(B),B))) ->
% 7.17/7.37  true
% 7.17/7.37  Current number of equations to process: 1616
% 7.17/7.37  Current number of ordered equations: 1
% 7.17/7.37  Current number of rules: 444
% 7.17/7.37  New rule produced :
% 7.17/7.37  [480]
% 7.17/7.37  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),strong_iteration(B)))
% 7.17/7.37  -> true
% 7.17/7.37  Current number of equations to process: 1616
% 7.17/7.37  Current number of ordered equations: 0
% 7.17/7.37  Current number of rules: 445
% 7.17/7.37  New rule produced :
% 7.17/7.37  [481]
% 7.17/7.37  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 7.17/7.37                                                              star(A),A))) ->
% 7.17/7.37  true
% 7.17/7.37  Current number of equations to process: 1618
% 7.17/7.37  Current number of ordered equations: 1
% 7.17/7.37  Current number of rules: 446
% 7.17/7.37  New rule produced :
% 7.17/7.37  [482]
% 7.17/7.37  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 7.17/7.37          star(A))) -> true
% 7.17/7.37  Current number of equations to process: 1618
% 7.17/7.37  Current number of ordered equations: 0
% 7.17/7.37  Current number of rules: 447
% 7.17/7.37  New rule produced :
% 7.17/7.37  [483]
% 7.17/7.37  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 7.17/7.37                                                              star(C),C))) ->
% 7.17/7.37  true
% 7.17/7.37  Rule
% 7.17/7.37  [481]
% 7.17/7.37  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 7.17/7.37                                                              star(A),A))) ->
% 7.17/7.37  true collapsed.
% 7.17/7.37  Current number of equations to process: 1616
% 7.17/7.37  Current number of ordered equations: 1
% 7.17/7.37  Current number of rules: 447
% 7.60/7.83  New rule produced :
% 7.60/7.83  [484]
% 7.60/7.83  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 7.60/7.83          star(C))) -> true
% 7.60/7.83  Rule
% 7.60/7.83  [482]
% 7.60/7.83  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 7.60/7.83          star(A))) -> true collapsed.
% 7.60/7.83  Current number of equations to process: 1616
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 447
% 7.60/7.83  New rule produced :
% 7.60/7.83  [485]
% 7.60/7.83  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 7.60/7.83          multiplication(C,star(C)))) -> true
% 7.60/7.83  Current number of equations to process: 1612
% 7.60/7.83  Current number of ordered equations: 1
% 7.60/7.83  Current number of rules: 448
% 7.60/7.83  New rule produced :
% 7.60/7.83  [486]
% 7.60/7.83  leq(one,multiplication(strong_iteration(multiplication(A,star(A)) addition B),
% 7.60/7.83          strong_iteration(C))) -> true
% 7.60/7.83  Current number of equations to process: 1612
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 449
% 7.60/7.83  New rule produced :
% 7.60/7.83  [487]
% 7.60/7.83  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 7.60/7.83          multiplication(star(C),C))) -> true
% 7.60/7.83  Current number of equations to process: 1610
% 7.60/7.83  Current number of ordered equations: 1
% 7.60/7.83  Current number of rules: 450
% 7.60/7.83  New rule produced :
% 7.60/7.83  [488]
% 7.60/7.83  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 7.60/7.83          strong_iteration(C))) -> true
% 7.60/7.83  Current number of equations to process: 1610
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 451
% 7.60/7.83  New rule produced : [489] leq(multiplication(star(one),zero),A) -> true
% 7.60/7.83  Current number of equations to process: 1615
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 452
% 7.60/7.83  New rule produced :
% 7.60/7.83  [490]
% 7.60/7.83  ifeq(leq(A,one),true,leq(multiplication(star(A),zero),one),true) -> true
% 7.60/7.83  Current number of equations to process: 1618
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 453
% 7.60/7.83  New rule produced :
% 7.60/7.83  [491] ifeq(leq(one addition A,one),true,leq(star(A),one),true) -> true
% 7.60/7.83  Current number of equations to process: 1635
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 454
% 7.60/7.83  New rule produced :
% 7.60/7.83  [492] ifeq(leq(one addition A,A),true,leq(star(one),A),true) -> true
% 7.60/7.83  Current number of equations to process: 1634
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 455
% 7.60/7.83  New rule produced :
% 7.60/7.83  [493] ifeq(leq(star(A),A),true,leq(star(star(A)),A),true) -> true
% 7.60/7.83  Current number of equations to process: 1633
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 456
% 7.60/7.83  New rule produced :
% 7.60/7.83  [494] ifeq(leq(A,one),true,leq(multiplication(star(A),A),one),true) -> true
% 7.60/7.83  Current number of equations to process: 1666
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 457
% 7.60/7.83  New rule produced :
% 7.60/7.83  [495]
% 7.60/7.83  ifeq(leq(star(A),one),true,leq(multiplication(star(one),star(A)),one),true)
% 7.60/7.83  -> true
% 7.60/7.83  Current number of equations to process: 1728
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 458
% 7.60/7.83  New rule produced :
% 7.60/7.83  [496]
% 7.60/7.83  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(star(one),strong_iteration(A)),one),true)
% 7.60/7.83  -> true
% 7.60/7.83  Current number of equations to process: 1727
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 459
% 7.60/7.83  New rule produced :
% 7.60/7.83  [497]
% 7.60/7.83  ifeq(leq(star(A),one),true,leq(star(multiplication(star(A),A)),one),true) ->
% 7.60/7.83  true
% 7.60/7.83  Current number of equations to process: 1726
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 460
% 7.60/7.83  New rule produced : [498] leq(multiplication(star(one),A),A) -> true
% 7.60/7.83  Current number of equations to process: 1729
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 461
% 7.60/7.83  New rule produced :
% 7.60/7.83  [499] leq(multiplication(star(one),A),A addition B) -> true
% 7.60/7.83  Current number of equations to process: 1728
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 462
% 7.60/7.83  New rule produced :
% 7.60/7.83  [500]
% 7.60/7.83  ifeq(leq(A,zero),true,leq(multiplication(star(one),A),zero),true) -> true
% 7.60/7.83  Current number of equations to process: 1748
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 463
% 7.60/7.83  New rule produced :
% 7.60/7.83  [501] leq(multiplication(star(one),star(A)),strong_iteration(A)) -> true
% 7.60/7.83  Current number of equations to process: 1753
% 7.60/7.83  Current number of ordered equations: 0
% 7.60/7.83  Current number of rules: 464
% 7.98/8.16  New rule produced :
% 7.98/8.16  [502]
% 7.98/8.16  leq(multiplication(star(one),star(A)),strong_iteration(A) addition B) -> true
% 7.98/8.16  Current number of equations to process: 1752
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 465
% 7.98/8.16  New rule produced :
% 7.98/8.16  [503]
% 7.98/8.16  leq(multiplication(star(one),multiplication(star(A),A)),star(A)) -> true
% 7.98/8.16  Current number of equations to process: 1755
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 466
% 7.98/8.16  New rule produced :
% 7.98/8.16  [504]
% 7.98/8.16  leq(multiplication(star(one),multiplication(A,zero)),multiplication(A,B)) ->
% 7.98/8.16  true
% 7.98/8.16  Current number of equations to process: 1758
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 467
% 7.98/8.16  New rule produced :
% 7.98/8.16  [505]
% 7.98/8.16  leq(multiplication(star(one),multiplication(star(A),A)),star(A) addition B)
% 7.98/8.16  -> true
% 7.98/8.16  Current number of equations to process: 1792
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 468
% 7.98/8.16  New rule produced :
% 7.98/8.16  [506]
% 7.98/8.16  leq(multiplication(star(one),multiplication(A,zero)),multiplication(A,B) addition C)
% 7.98/8.16  -> true
% 7.98/8.16  Current number of equations to process: 1791
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 469
% 7.98/8.16  New rule produced :
% 7.98/8.16  [507]
% 7.98/8.16  ifeq(leq(multiplication(strong_iteration(A),zero),multiplication(A,multiplication(
% 7.98/8.16                                                                     strong_iteration(A),zero))),true,true,true)
% 7.98/8.16  -> true
% 7.98/8.16  Current number of equations to process: 1792
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 470
% 7.98/8.16  New rule produced :
% 7.98/8.16  [508]
% 7.98/8.16  ifeq(leq(multiplication(A,multiplication(star(A),zero)),multiplication(
% 7.98/8.16                                                          star(A),zero)),true,true,true)
% 7.98/8.16  -> true
% 7.98/8.16  Current number of equations to process: 1791
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 471
% 7.98/8.16  New rule produced :
% 7.98/8.16  [509]
% 7.98/8.16  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(star(star(A)),
% 7.98/8.16                                             strong_iteration(A)),one),true) ->
% 7.98/8.16  true
% 7.98/8.16  Current number of equations to process: 1789
% 7.98/8.16  Current number of ordered equations: 1
% 7.98/8.16  Current number of rules: 472
% 7.98/8.16  New rule produced :
% 7.98/8.16  [510]
% 7.98/8.16  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(star(strong_iteration(A)),
% 7.98/8.16                                             star(A)),one),true) -> true
% 7.98/8.16  Current number of equations to process: 1789
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 473
% 7.98/8.16  New rule produced :
% 7.98/8.16  [511] ifeq(leq(one,zero),true,leq(star(one),zero),true) -> true
% 7.98/8.16  Current number of equations to process: 1789
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 474
% 7.98/8.16  New rule produced : [512] ifeq(leq(A,one),true,true,true) -> true
% 7.98/8.16  Current number of equations to process: 1789
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 475
% 7.98/8.16  New rule produced :
% 7.98/8.16  [513]
% 7.98/8.16  ifeq(leq(multiplication(multiplication(A,B),C),A),true,true,true) -> true
% 7.98/8.16  Current number of equations to process: 1792
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 476
% 7.98/8.16  New rule produced :
% 7.98/8.16  [514] ifeq(leq(one,zero),true,leq(star(A),zero),true) -> true
% 7.98/8.16  Rule [511] ifeq(leq(one,zero),true,leq(star(one),zero),true) -> true
% 7.98/8.16  collapsed.
% 7.98/8.16  Current number of equations to process: 1800
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 476
% 7.98/8.16  New rule produced :
% 7.98/8.16  [515]
% 7.98/8.16  ifeq(leq(multiplication(A,multiplication(B,C)),multiplication(A,B)),true,true,true)
% 7.98/8.16  -> true
% 7.98/8.16  Current number of equations to process: 1800
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 477
% 7.98/8.16  New rule produced :
% 7.98/8.16  [516]
% 7.98/8.16  ifeq(leq(multiplication(A,B) addition multiplication(A,C),A),true,true,true)
% 7.98/8.16  -> true
% 7.98/8.16  Current number of equations to process: 1799
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 478
% 7.98/8.16  New rule produced :
% 7.98/8.16  [517]
% 7.98/8.16  ifeq(leq(multiplication(multiplication(multiplication(A,B),C),V_3),A),true,true,true)
% 7.98/8.16  -> true
% 7.98/8.16  Current number of equations to process: 1798
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 479
% 7.98/8.16  New rule produced : [518] leq(multiplication(A,star(one)),A) -> true
% 7.98/8.16  Current number of equations to process: 1805
% 7.98/8.16  Current number of ordered equations: 0
% 7.98/8.16  Current number of rules: 480
% 7.98/8.16  New rule produced :
% 8.60/8.78  [519] leq(multiplication(A,star(one)),A addition B) -> true
% 8.60/8.78  Current number of equations to process: 1804
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 481
% 8.60/8.78  New rule produced :
% 8.60/8.78  [520] leq(multiplication(star(A),star(one)),strong_iteration(A)) -> true
% 8.60/8.78  Current number of equations to process: 1832
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 482
% 8.60/8.78  New rule produced :
% 8.60/8.78  [521]
% 8.60/8.78  leq(multiplication(star(A),star(one)),strong_iteration(A) addition B) -> true
% 8.60/8.78  Current number of equations to process: 1831
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 483
% 8.60/8.78  New rule produced :
% 8.60/8.78  [522]
% 8.60/8.78  leq(multiplication(multiplication(star(A),A),star(one)),star(A)) -> true
% 8.60/8.78  Current number of equations to process: 1834
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 484
% 8.60/8.78  New rule produced :
% 8.60/8.78  [523]
% 8.60/8.78  leq(multiplication(multiplication(star(A),A),star(one)),star(A) addition B)
% 8.60/8.78  -> true
% 8.60/8.78  Current number of equations to process: 1870
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 485
% 8.60/8.78  New rule produced :
% 8.60/8.78  [524]
% 8.60/8.78  ifeq(leq(star(A),one),true,leq(multiplication(star(A),star(one)),one),true)
% 8.60/8.78  -> true
% 8.60/8.78  Current number of equations to process: 1871
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 486
% 8.60/8.78  New rule produced :
% 8.60/8.78  [525]
% 8.60/8.78  ifeq(leq(strong_iteration(A),one),true,leq(multiplication(strong_iteration(A),
% 8.60/8.78                                             star(one)),one),true) -> true
% 8.60/8.78  Current number of equations to process: 1870
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 487
% 8.60/8.78  New rule produced :
% 8.60/8.78  [526] ifeq(leq(A,one),true,leq(multiplication(A,star(A)),one),true) -> true
% 8.60/8.78  Current number of equations to process: 1893
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 488
% 8.60/8.78  New rule produced :
% 8.60/8.78  [527]
% 8.60/8.78  ifeq(leq(strong_iteration(A),A),true,leq(star(strong_iteration(A)),A),true)
% 8.60/8.78  -> true
% 8.60/8.78  Current number of equations to process: 1957
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 489
% 8.60/8.78  New rule produced : [528] leq(one,multiplication(star(A),star(B))) -> true
% 8.60/8.78  Current number of equations to process: 1969
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 490
% 8.60/8.78  New rule produced :
% 8.60/8.78  [529] leq(one,multiplication(star(A),strong_iteration(B))) -> true
% 8.60/8.78  Current number of equations to process: 1970
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 491
% 8.60/8.78  New rule produced :
% 8.60/8.78  [530] leq(one,multiplication(strong_iteration(A),star(B))) -> true
% 8.60/8.78  Rule
% 8.60/8.78  [468]
% 8.60/8.78  leq(one,multiplication(strong_iteration(strong_iteration(A)),star(A))) ->
% 8.60/8.78  true collapsed.
% 8.60/8.78  Rule
% 8.60/8.78  [470]
% 8.60/8.78  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 8.60/8.78          star(A))) -> true collapsed.
% 8.60/8.78  Rule
% 8.60/8.78  [475]
% 8.60/8.78  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),star(B)))
% 8.60/8.78  -> true collapsed.
% 8.60/8.78  Rule
% 8.60/8.78  [484]
% 8.60/8.78  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 8.60/8.78          star(C))) -> true collapsed.
% 8.60/8.78  Current number of equations to process: 1972
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 488
% 8.60/8.78  New rule produced :
% 8.60/8.78  [531] leq(one,multiplication(star(A),star(B)) addition C) -> true
% 8.60/8.78  Current number of equations to process: 1971
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 489
% 8.60/8.78  New rule produced :
% 8.60/8.78  [532] leq(one,multiplication(star(A),strong_iteration(B)) addition C) -> true
% 8.60/8.78  Current number of equations to process: 1970
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 490
% 8.60/8.78  New rule produced :
% 8.60/8.78  [533] leq(one,multiplication(strong_iteration(A),star(B)) addition C) -> true
% 8.60/8.78  Current number of equations to process: 1968
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 491
% 8.60/8.78  New rule produced :
% 8.60/8.78  [534] leq(one,multiplication(strong_iteration(star(A)),B)) -> true
% 8.60/8.78  Rule
% 8.60/8.78  [469]
% 8.60/8.78  leq(one,multiplication(strong_iteration(star(A)),strong_iteration(A))) ->
% 8.60/8.78  true collapsed.
% 8.60/8.78  Rule
% 8.60/8.78  [476]
% 8.60/8.78  leq(one,multiplication(strong_iteration(star(A)),multiplication(star(B),B)))
% 8.60/8.78  -> true collapsed.
% 8.60/8.78  Current number of equations to process: 1969
% 8.60/8.78  Current number of ordered equations: 0
% 8.60/8.78  Current number of rules: 490
% 8.60/8.78  New rule produced :
% 8.60/8.78  [535] leq(one,multiplication(strong_iteration(star(A) addition B),C)) -> true
% 9.77/10.03  Rule
% 9.77/10.03  [471]
% 9.77/10.03  leq(one,multiplication(strong_iteration(star(A) addition B),strong_iteration(A)))
% 9.77/10.03  -> true collapsed.
% 9.77/10.03  Rule
% 9.77/10.03  [483]
% 9.77/10.03  leq(one,multiplication(strong_iteration(star(A) addition B),multiplication(
% 9.77/10.03                                                              star(C),C))) ->
% 9.77/10.03  true collapsed.
% 9.77/10.03  Current number of equations to process: 1968
% 9.77/10.03  Current number of ordered equations: 0
% 9.77/10.03  Current number of rules: 489
% 9.77/10.03  New rule produced : [536] star(A) addition A -> star(A)
% 9.77/10.03  Current number of equations to process: 1971
% 9.77/10.03  Current number of ordered equations: 0
% 9.77/10.03  Current number of rules: 490
% 9.77/10.03  New rule produced :
% 9.77/10.03  [537] multiplication(star(star(A)),star(A)) -> star(star(A))
% 9.77/10.03  Rule
% 9.77/10.03  [417]
% 9.77/10.03  ifeq(leq(star(A),A),true,leq(multiplication(star(star(A)),star(A)),A),true)
% 9.77/10.03  -> true collapsed.
% 9.77/10.03  Current number of equations to process: 1996
% 9.77/10.03  Current number of ordered equations: 0
% 9.77/10.03  Current number of rules: 490
% 9.77/10.03  New rule produced :
% 9.77/10.03  [538]
% 9.77/10.03  multiplication(strong_iteration(A),star(strong_iteration(A))) ->
% 9.77/10.05  star(strong_iteration(A))
% 9.77/10.05  Rule
% 9.77/10.05  [457]
% 9.77/10.05  multiplication(strong_iteration(one),star(strong_iteration(one))) ->
% 9.77/10.05  star(strong_iteration(one)) collapsed.
% 9.77/10.05  Current number of equations to process: 2039
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 490
% 9.77/10.05  New rule produced :
% 9.77/10.05  [539] leq(multiplication(star(one),A),multiplication(A,star(B))) -> true
% 9.77/10.05  Current number of equations to process: 2090
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 491
% 9.77/10.05  New rule produced :
% 9.77/10.05  [540]
% 9.77/10.05  leq(multiplication(star(one),A),multiplication(A,star(B)) addition C) -> true
% 9.77/10.05  Current number of equations to process: 2089
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 492
% 9.77/10.05  New rule produced :
% 9.77/10.05  [541] leq(multiplication(A,star(one)),multiplication(A,star(B))) -> true
% 9.77/10.05  Current number of equations to process: 2092
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 493
% 9.77/10.05  New rule produced :
% 9.77/10.05  [542] multiplication(star(A),star(star(A))) -> star(star(A))
% 9.77/10.05  Current number of equations to process: 2107
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 494
% 9.77/10.05  New rule produced :
% 9.77/10.05  [543]
% 9.77/10.05  multiplication(star(A),strong_iteration(star(A))) ->
% 9.77/10.05  strong_iteration(star(A))
% 9.77/10.05  Current number of equations to process: 2106
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 495
% 9.77/10.05  New rule produced :
% 9.77/10.05  [544]
% 9.77/10.05  leq(multiplication(A,star(one)),multiplication(A,star(B)) addition C) -> true
% 9.77/10.05  Current number of equations to process: 2121
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 496
% 9.77/10.05  New rule produced :
% 9.77/10.05  [545]
% 9.77/10.05  multiplication(star(strong_iteration(A)),strong_iteration(A)) ->
% 9.77/10.05  star(strong_iteration(A))
% 9.77/10.05  Rule
% 9.77/10.05  [419]
% 9.77/10.05  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(strong_iteration(A)),
% 9.77/10.05                                              strong_iteration(A)),zero),true)
% 9.77/10.05  -> true collapsed.
% 9.77/10.05  Current number of equations to process: 2169
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 496
% 9.77/10.05  New rule produced :
% 9.77/10.05  [546] leq(multiplication(star(one),A),multiplication(star(B),A)) -> true
% 9.77/10.05  Current number of equations to process: 2223
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 497
% 9.77/10.05  New rule produced :
% 9.77/10.05  [547]
% 9.77/10.05  leq(multiplication(star(one),A),multiplication(star(B),A) addition C) -> true
% 9.77/10.05  Current number of equations to process: 2222
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 498
% 9.77/10.05  New rule produced :
% 9.77/10.05  [548] leq(multiplication(A,star(one)),multiplication(star(B),A)) -> true
% 9.77/10.05  Current number of equations to process: 2225
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 499
% 9.77/10.05  New rule produced :
% 9.77/10.05  [549]
% 9.77/10.05  leq(multiplication(A,star(one)),multiplication(star(B),A) addition C) -> true
% 9.77/10.05  Current number of equations to process: 2258
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 500
% 9.77/10.05  New rule produced :
% 9.77/10.05  [550]
% 9.77/10.05  ifeq(leq(strong_iteration(A),zero),true,leq(star(strong_iteration(A)),zero),true)
% 9.77/10.05  -> true
% 9.77/10.05  Current number of equations to process: 2257
% 9.77/10.05  Current number of ordered equations: 0
% 9.77/10.05  Current number of rules: 501
% 9.77/10.05  New rule produced :
% 9.77/10.05  [551]
% 9.77/10.05  multiplication(multiplication(A,star(B)),star(C)) addition A ->
% 10.58/10.85  multiplication(multiplication(A,star(B)),star(C))
% 10.58/10.85  Current number of equations to process: 2256
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 502
% 10.58/10.85  New rule produced :
% 10.58/10.85  [552]
% 10.58/10.85  multiplication(multiplication(A,star(B)),strong_iteration(C)) addition A ->
% 10.58/10.85  multiplication(multiplication(A,star(B)),strong_iteration(C))
% 10.58/10.85  Current number of equations to process: 2255
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 503
% 10.58/10.85  New rule produced :
% 10.58/10.85  [553]
% 10.58/10.85  multiplication(star(A),multiplication(B,star(C))) addition B ->
% 10.58/10.85  multiplication(star(A),multiplication(B,star(C)))
% 10.58/10.85  Current number of equations to process: 2253
% 10.58/10.85  Current number of ordered equations: 1
% 10.58/10.85  Current number of rules: 504
% 10.58/10.85  New rule produced :
% 10.58/10.85  [554]
% 10.58/10.85  multiplication(star(A),star(B)) addition multiplication(A,star(A)) ->
% 10.58/10.85  multiplication(star(A),star(B))
% 10.58/10.85  Current number of equations to process: 2253
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 505
% 10.58/10.85  New rule produced :
% 10.58/10.85  [555]
% 10.58/10.85  multiplication(strong_iteration(A),multiplication(B,star(C))) addition B ->
% 10.58/10.85  multiplication(strong_iteration(A),multiplication(B,star(C)))
% 10.58/10.85  Current number of equations to process: 2250
% 10.58/10.85  Current number of ordered equations: 1
% 10.58/10.85  Current number of rules: 506
% 10.58/10.85  New rule produced :
% 10.58/10.85  [556]
% 10.58/10.85  multiplication(strong_iteration(A),star(B)) addition multiplication(A,
% 10.58/10.85                                                       strong_iteration(A)) ->
% 10.58/10.85  multiplication(strong_iteration(A),star(B))
% 10.58/10.85  Current number of equations to process: 2250
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 507
% 10.58/10.85  New rule produced :
% 10.58/10.85  [557]
% 10.58/10.85  multiplication(multiplication(star(A),B),star(C)) addition B ->
% 10.58/10.85  multiplication(multiplication(star(A),B),star(C))
% 10.58/10.85  Current number of equations to process: 2247
% 10.58/10.85  Current number of ordered equations: 1
% 10.58/10.85  Current number of rules: 508
% 10.58/10.85  New rule produced :
% 10.58/10.85  [558]
% 10.58/10.85  multiplication(star(A),star(B)) addition multiplication(B,star(B)) ->
% 10.58/10.85  multiplication(star(A),star(B))
% 10.58/10.85  Current number of equations to process: 2247
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 509
% 10.58/10.85  New rule produced :
% 10.58/10.85  [559]
% 10.58/10.85  multiplication(multiplication(star(A),B),strong_iteration(C)) addition B ->
% 10.58/10.85  multiplication(multiplication(star(A),B),strong_iteration(C))
% 10.58/10.85  Current number of equations to process: 2244
% 10.58/10.85  Current number of ordered equations: 1
% 10.58/10.85  Current number of rules: 510
% 10.58/10.85  New rule produced :
% 10.58/10.85  [560]
% 10.58/10.85  multiplication(star(A),strong_iteration(B)) addition multiplication(B,
% 10.58/10.85                                                       strong_iteration(B)) ->
% 10.58/10.85  multiplication(star(A),strong_iteration(B))
% 10.58/10.85  Current number of equations to process: 2244
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 511
% 10.58/10.85  New rule produced :
% 10.58/10.85  [561]
% 10.58/10.85  multiplication(star(A),multiplication(star(B),C)) addition C ->
% 10.58/10.85  multiplication(star(A),multiplication(star(B),C))
% 10.58/10.85  Current number of equations to process: 2243
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 512
% 10.58/10.85  New rule produced :
% 10.58/10.85  [562]
% 10.58/10.85  multiplication(strong_iteration(A),multiplication(star(B),C)) addition C ->
% 10.58/10.85  multiplication(strong_iteration(A),multiplication(star(B),C))
% 10.58/10.85  Current number of equations to process: 2242
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 513
% 10.58/10.85  New rule produced :
% 10.58/10.85  [563]
% 10.58/10.85  multiplication(strong_iteration(A),zero) addition multiplication(star(B),
% 10.58/10.85                                                    strong_iteration(A)) ->
% 10.58/10.85  multiplication(star(B),strong_iteration(A))
% 10.58/10.85  Current number of equations to process: 2241
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 514
% 10.58/10.85  New rule produced :
% 10.58/10.85  [564] leq(star(A),multiplication(strong_iteration(A),star(B))) -> true
% 10.58/10.85  Current number of equations to process: 2238
% 10.58/10.85  Current number of ordered equations: 0
% 10.58/10.85  Current number of rules: 515
% 10.58/10.85  New rule produced :
% 10.58/10.85  [565]
% 10.58/10.85  leq(one,multiplication(strong_iteration(A),strong_iteration(B))) -> true
% 10.58/10.85  Rule
% 10.58/10.85  [478]
% 10.58/10.85  leq(one,multiplication(strong_iteration(multiplication(A,star(A))),strong_iteration(B)))
% 10.58/10.85  -> true collapsed.
% 10.58/10.85  Rule
% 10.58/10.85  [480]
% 10.58/10.85  leq(one,multiplication(strong_iteration(multiplication(star(A),A)),strong_iteration(B)))
% 10.58/10.85  -> true collapsed.
% 10.58/10.85  Rule
% 10.58/10.85  [486]
% 12.07/12.31  leq(one,multiplication(strong_iteration(multiplication(A,star(A)) addition B),
% 12.07/12.31          strong_iteration(C))) -> true collapsed.
% 12.07/12.31  Rule
% 12.07/12.31  [488]
% 12.07/12.31  leq(one,multiplication(strong_iteration(multiplication(star(A),A) addition B),
% 12.07/12.31          strong_iteration(C))) -> true collapsed.
% 12.07/12.31  Current number of equations to process: 2387
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 512
% 12.07/12.31  New rule produced :
% 12.07/12.31  [566]
% 12.07/12.31  leq(one,multiplication(strong_iteration(A),strong_iteration(B)) addition C)
% 12.07/12.31  -> true
% 12.07/12.31  Current number of equations to process: 2386
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 513
% 12.07/12.31  New rule produced :
% 12.07/12.31  [567]
% 12.07/12.31  leq(one,multiplication(strong_iteration(strong_iteration(A)),B)) -> true
% 12.07/12.31  Rule
% 12.07/12.31  [477]
% 12.07/12.31  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(B,
% 12.07/12.31                                                               star(B)))) ->
% 12.07/12.31  true collapsed.
% 12.07/12.31  Rule
% 12.07/12.31  [479]
% 12.07/12.31  leq(one,multiplication(strong_iteration(strong_iteration(A)),multiplication(
% 12.07/12.31                                                               star(B),B))) ->
% 12.07/12.31  true collapsed.
% 12.07/12.31  Current number of equations to process: 2387
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 512
% 12.07/12.31  New rule produced :
% 12.07/12.31  [568]
% 12.07/12.31  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),C))
% 12.07/12.31  -> true
% 12.07/12.31  Rule
% 12.07/12.31  [485]
% 12.07/12.31  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 12.07/12.31          multiplication(C,star(C)))) -> true collapsed.
% 12.07/12.31  Rule
% 12.07/12.31  [487]
% 12.07/12.31  leq(one,multiplication(strong_iteration(strong_iteration(A) addition B),
% 12.07/12.31          multiplication(star(C),C))) -> true collapsed.
% 12.07/12.31  Current number of equations to process: 2386
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 511
% 12.07/12.31  New rule produced :
% 12.07/12.31  [569] strong_iteration(A) addition A -> strong_iteration(A)
% 12.07/12.31  Current number of equations to process: 2397
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 512
% 12.07/12.31  New rule produced :
% 12.07/12.31  [570]
% 12.07/12.31  leq(multiplication(star(one),A),multiplication(A,strong_iteration(B))) ->
% 12.07/12.31  true
% 12.07/12.31  Current number of equations to process: 2499
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 513
% 12.07/12.31  New rule produced :
% 12.07/12.31  [571]
% 12.07/12.31  leq(multiplication(star(one),A),multiplication(A,strong_iteration(B)) addition C)
% 12.07/12.31  -> true
% 12.07/12.31  Current number of equations to process: 2498
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 514
% 12.07/12.31  New rule produced :
% 12.07/12.31  [572]
% 12.07/12.31  leq(multiplication(A,star(one)),multiplication(A,strong_iteration(B))) ->
% 12.07/12.31  true
% 12.07/12.31  Current number of equations to process: 2501
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 515
% 12.07/12.31  New rule produced :
% 12.07/12.31  [573]
% 12.07/12.31  multiplication(strong_iteration(A),strong_iteration(strong_iteration(A))) ->
% 12.07/12.31  strong_iteration(strong_iteration(A))
% 12.07/12.31  Rule
% 12.07/12.31  [458]
% 12.07/12.31  multiplication(strong_iteration(one),strong_iteration(strong_iteration(one)))
% 12.07/12.31  -> strong_iteration(strong_iteration(one)) collapsed.
% 12.07/12.31  Current number of equations to process: 2528
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 515
% 12.07/12.31  New rule produced :
% 12.07/12.31  [574]
% 12.07/12.31  leq(multiplication(A,star(one)),multiplication(A,strong_iteration(B)) addition C)
% 12.07/12.31  -> true
% 12.07/12.31  Current number of equations to process: 2544
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 516
% 12.07/12.31  New rule produced :
% 12.07/12.31  [575]
% 12.07/12.31  leq(multiplication(star(one),A),multiplication(strong_iteration(B),A)) ->
% 12.07/12.31  true
% 12.07/12.31  Current number of equations to process: 2632
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 517
% 12.07/12.31  New rule produced :
% 12.07/12.31  [576]
% 12.07/12.31  leq(multiplication(star(one),A),multiplication(strong_iteration(B),A) addition C)
% 12.07/12.31  -> true
% 12.07/12.31  Current number of equations to process: 2631
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 518
% 12.07/12.31  New rule produced :
% 12.07/12.31  [577]
% 12.07/12.31  leq(multiplication(A,star(one)),multiplication(strong_iteration(B),A)) ->
% 12.07/12.31  true
% 12.07/12.31  Current number of equations to process: 2634
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 519
% 12.07/12.31  New rule produced :
% 12.07/12.31  [578]
% 12.07/12.31  leq(multiplication(A,star(one)),multiplication(strong_iteration(B),A) addition C)
% 12.07/12.31  -> true
% 12.07/12.31  Current number of equations to process: 2677
% 12.07/12.31  Current number of ordered equations: 0
% 12.07/12.31  Current number of rules: 520
% 12.07/12.31  New rule produced :
% 12.07/12.31  [579]
% 12.07/12.31  multiplication(multiplication(A,strong_iteration(B)),star(C)) addition A ->
% 12.68/12.85  multiplication(multiplication(A,strong_iteration(B)),star(C))
% 12.68/12.85  Current number of equations to process: 2676
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 521
% 12.68/12.85  New rule produced :
% 12.68/12.85  [580]
% 12.68/12.85  multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C)) addition A
% 12.68/12.85  -> multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C))
% 12.68/12.85  Current number of equations to process: 2675
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 522
% 12.68/12.85  New rule produced :
% 12.68/12.85  [581]
% 12.68/12.85  multiplication(star(A),multiplication(B,strong_iteration(C))) addition B ->
% 12.68/12.85  multiplication(star(A),multiplication(B,strong_iteration(C)))
% 12.68/12.85  Current number of equations to process: 2674
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 523
% 12.68/12.85  New rule produced :
% 12.68/12.85  [582]
% 12.68/12.85  multiplication(strong_iteration(A),multiplication(B,strong_iteration(C))) addition B
% 12.68/12.85  -> multiplication(strong_iteration(A),multiplication(B,strong_iteration(C)))
% 12.68/12.85  Current number of equations to process: 2672
% 12.68/12.85  Current number of ordered equations: 1
% 12.68/12.85  Current number of rules: 524
% 12.68/12.85  New rule produced :
% 12.68/12.85  [583]
% 12.68/12.85  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(A,
% 12.68/12.85                                                                   strong_iteration(A))
% 12.68/12.85  -> multiplication(strong_iteration(A),strong_iteration(B))
% 12.68/12.85  Current number of equations to process: 2672
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 525
% 12.68/12.85  New rule produced :
% 12.68/12.85  [584]
% 12.68/12.85  multiplication(multiplication(strong_iteration(A),B),star(C)) addition B ->
% 12.68/12.85  multiplication(multiplication(strong_iteration(A),B),star(C))
% 12.68/12.85  Current number of equations to process: 2668
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 526
% 12.68/12.85  New rule produced :
% 12.68/12.85  [585]
% 12.68/12.85  multiplication(multiplication(strong_iteration(A),B),strong_iteration(C)) addition B
% 12.68/12.85  -> multiplication(multiplication(strong_iteration(A),B),strong_iteration(C))
% 12.68/12.85  Current number of equations to process: 2666
% 12.68/12.85  Current number of ordered equations: 1
% 12.68/12.85  Current number of rules: 527
% 12.68/12.85  New rule produced :
% 12.68/12.85  [586]
% 12.68/12.85  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(B,
% 12.68/12.85                                                                   strong_iteration(B))
% 12.68/12.85  -> multiplication(strong_iteration(A),strong_iteration(B))
% 12.68/12.85  Current number of equations to process: 2666
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 528
% 12.68/12.85  New rule produced :
% 12.68/12.85  [587]
% 12.68/12.85  multiplication(star(A),multiplication(strong_iteration(B),C)) addition C ->
% 12.68/12.85  multiplication(star(A),multiplication(strong_iteration(B),C))
% 12.68/12.85  Current number of equations to process: 2665
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 529
% 12.68/12.85  New rule produced :
% 12.68/12.85  [588]
% 12.68/12.85  multiplication(strong_iteration(A),multiplication(strong_iteration(B),C)) addition C
% 12.68/12.85  -> multiplication(strong_iteration(A),multiplication(strong_iteration(B),C))
% 12.68/12.85  Current number of equations to process: 2664
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 530
% 12.68/12.85  New rule produced :
% 12.68/12.85  [589]
% 12.68/12.85  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 12.68/12.85                                                                   strong_iteration(B),zero)
% 12.68/12.85  -> multiplication(strong_iteration(A),strong_iteration(B))
% 12.68/12.85  Current number of equations to process: 2663
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 531
% 12.68/12.85  New rule produced :
% 12.68/12.85  [590]
% 12.68/12.85  star(multiplication(A,multiplication(B,zero))) <->
% 12.68/12.85  one addition multiplication(multiplication(A,B),zero)
% 12.68/12.85  Current number of equations to process: 2733
% 12.68/12.85  Current number of ordered equations: 1
% 12.68/12.85  Current number of rules: 532
% 12.68/12.85  New rule produced :
% 12.68/12.85  [591]
% 12.68/12.85  one addition multiplication(multiplication(A,B),zero) <->
% 12.68/12.85  star(multiplication(A,multiplication(B,zero)))
% 12.68/12.85  Current number of equations to process: 2733
% 12.68/12.85  Current number of ordered equations: 0
% 12.68/12.85  Current number of rules: 533
% 12.68/12.85  New rule produced :
% 12.68/12.85  [592]
% 12.68/12.85  strong_iteration(multiplication(A,multiplication(B,zero))) <->
% 12.68/12.85  one addition multiplication(multiplication(A,B),zero)
% 12.68/12.85  Current number of equations to process: 2740
% 12.68/12.85  Current number of ordered equations: 1
% 12.68/12.85  Current number of rules: 534
% 13.03/13.24  New rule produced :
% 13.03/13.24  [593]
% 13.03/13.24  one addition multiplication(multiplication(A,B),zero) <->
% 13.03/13.24  strong_iteration(multiplication(A,multiplication(B,zero)))
% 13.03/13.24  Current number of equations to process: 2740
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 535
% 13.03/13.24  Rule [591]
% 13.03/13.24       one addition multiplication(multiplication(A,B),zero) <->
% 13.03/13.24       star(multiplication(A,multiplication(B,zero))) is composed into 
% 13.03/13.24  [591]
% 13.03/13.24  one addition multiplication(multiplication(A,B),zero) <->
% 13.03/13.24  one addition multiplication(A,multiplication(B,zero))
% 13.03/13.24  New rule produced :
% 13.03/13.24  [594]
% 13.03/13.24  star(multiplication(A,multiplication(B,zero))) ->
% 13.03/13.24  one addition multiplication(A,multiplication(B,zero))
% 13.03/13.24  Rule
% 13.03/13.24  [590]
% 13.03/13.24  star(multiplication(A,multiplication(B,zero))) <->
% 13.03/13.24  one addition multiplication(multiplication(A,B),zero) collapsed.
% 13.03/13.24  Current number of equations to process: 2746
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 535
% 13.03/13.24  Rule [593]
% 13.03/13.24       one addition multiplication(multiplication(A,B),zero) <->
% 13.03/13.24       strong_iteration(multiplication(A,multiplication(B,zero))) is composed into 
% 13.03/13.24  [593]
% 13.03/13.24  one addition multiplication(multiplication(A,B),zero) <->
% 13.03/13.24  one addition multiplication(A,multiplication(B,zero))
% 13.03/13.24  New rule produced :
% 13.03/13.24  [595]
% 13.03/13.24  strong_iteration(multiplication(A,multiplication(B,zero))) ->
% 13.03/13.24  one addition multiplication(A,multiplication(B,zero))
% 13.03/13.24  Rule
% 13.03/13.24  [592]
% 13.03/13.24  strong_iteration(multiplication(A,multiplication(B,zero))) <->
% 13.03/13.24  one addition multiplication(multiplication(A,B),zero) collapsed.
% 13.03/13.24  Current number of equations to process: 2745
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 535
% 13.03/13.24  New rule produced :
% 13.03/13.24  [596]
% 13.03/13.24  leq(star(A),multiplication(strong_iteration(B),strong_iteration(A))) -> true
% 13.03/13.24  Current number of equations to process: 2753
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 536
% 13.03/13.24  New rule produced :
% 13.03/13.24  [597] leq(star(A),multiplication(star(B),strong_iteration(A))) -> true
% 13.03/13.24  Current number of equations to process: 2756
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 537
% 13.03/13.24  New rule produced :
% 13.03/13.24  [598]
% 13.03/13.24  leq(star(A),multiplication(strong_iteration(A),star(B)) addition C) -> true
% 13.03/13.24  Current number of equations to process: 2756
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 538
% 13.03/13.24  New rule produced :
% 13.03/13.24  [599]
% 13.03/13.24  leq(star(A),multiplication(strong_iteration(A),strong_iteration(B)) addition C)
% 13.03/13.24  -> true
% 13.03/13.24  Current number of equations to process: 2755
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 539
% 13.03/13.24  New rule produced :
% 13.03/13.24  [600]
% 13.03/13.24  leq(star(A),multiplication(star(B),strong_iteration(A)) addition C) -> true
% 13.03/13.24  Current number of equations to process: 2754
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 540
% 13.03/13.24  New rule produced :
% 13.03/13.24  [601]
% 13.03/13.24  leq(star(A),multiplication(strong_iteration(B),strong_iteration(A)) addition C)
% 13.03/13.24  -> true
% 13.03/13.24  Current number of equations to process: 2753
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 541
% 13.03/13.24  New rule produced :
% 13.03/13.24  [602]
% 13.03/13.24  multiplication(multiplication(A,B),star(C)) <->
% 13.03/13.24  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B)
% 13.03/13.24  Current number of equations to process: 2774
% 13.03/13.24  Current number of ordered equations: 1
% 13.03/13.24  Current number of rules: 542
% 13.03/13.24  New rule produced :
% 13.03/13.24  [603]
% 13.03/13.24  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) <->
% 13.03/13.24  multiplication(multiplication(A,B),star(C))
% 13.03/13.24  Current number of equations to process: 2774
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 543
% 13.03/13.24  Rule [602]
% 13.03/13.24       multiplication(multiplication(A,B),star(C)) <->
% 13.03/13.24       multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) is composed into 
% 13.03/13.24  [602]
% 13.03/13.24  multiplication(multiplication(A,B),star(C)) <->
% 13.03/13.24  multiplication(A,multiplication(B,star(C)))
% 13.03/13.24  New rule produced :
% 13.03/13.24  [604]
% 13.03/13.24  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) ->
% 13.03/13.24  multiplication(A,multiplication(B,star(C)))
% 13.03/13.24  Rule
% 13.03/13.24  [603]
% 13.03/13.24  multiplication(A,multiplication(B,star(C))) addition multiplication(A,B) <->
% 13.03/13.24  multiplication(multiplication(A,B),star(C)) collapsed.
% 13.03/13.24  Current number of equations to process: 2773
% 13.03/13.24  Current number of ordered equations: 0
% 13.03/13.24  Current number of rules: 543
% 13.03/13.24  New rule produced :
% 13.03/13.24  [605]
% 13.03/13.24  multiplication(multiplication(A,star(B)),C) addition multiplication(A,C) ->
% 13.09/13.35  multiplication(multiplication(A,star(B)),C)
% 13.09/13.35  Current number of equations to process: 2772
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 544
% 13.09/13.35  New rule produced :
% 13.09/13.35  [606]
% 13.09/13.35  multiplication(multiplication(star(A),B),C) addition multiplication(B,C) <->
% 13.09/13.35  multiplication(star(A),multiplication(B,C))
% 13.09/13.35  Current number of equations to process: 2771
% 13.09/13.35  Current number of ordered equations: 1
% 13.09/13.35  Current number of rules: 545
% 13.09/13.35  New rule produced :
% 13.09/13.35  [607]
% 13.09/13.35  multiplication(star(A),multiplication(B,C)) <->
% 13.09/13.35  multiplication(multiplication(star(A),B),C) addition multiplication(B,C)
% 13.09/13.35  Current number of equations to process: 2771
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 546
% 13.09/13.35  New rule produced :
% 13.09/13.35  [608]
% 13.09/13.35  multiplication(A,multiplication(star(B),C)) addition multiplication(A,C) ->
% 13.09/13.35  multiplication(A,multiplication(star(B),C))
% 13.09/13.35  Current number of equations to process: 2770
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 547
% 13.09/13.35  Rule [607]
% 13.09/13.35       multiplication(star(A),multiplication(B,C)) <->
% 13.09/13.35       multiplication(multiplication(star(A),B),C) addition multiplication(B,C) is composed into 
% 13.09/13.35  [607]
% 13.09/13.35  multiplication(star(A),multiplication(B,C)) <->
% 13.09/13.35  multiplication(multiplication(star(A),B),C)
% 13.09/13.35  New rule produced :
% 13.09/13.35  [609]
% 13.09/13.35  multiplication(multiplication(star(A),B),C) addition multiplication(B,C) ->
% 13.09/13.35  multiplication(multiplication(star(A),B),C)
% 13.09/13.35  Rule
% 13.09/13.35  [606]
% 13.09/13.35  multiplication(multiplication(star(A),B),C) addition multiplication(B,C) <->
% 13.09/13.35  multiplication(star(A),multiplication(B,C)) collapsed.
% 13.09/13.35  Current number of equations to process: 2769
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 547
% 13.09/13.35  New rule produced :
% 13.09/13.35  [610]
% 13.09/13.35  multiplication(multiplication(A,B),strong_iteration(C)) <->
% 13.09/13.35  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.09/13.35  Current number of equations to process: 2768
% 13.09/13.35  Current number of ordered equations: 1
% 13.09/13.35  Current number of rules: 548
% 13.09/13.35  New rule produced :
% 13.09/13.35  [611]
% 13.09/13.35  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.09/13.35  <-> multiplication(multiplication(A,B),strong_iteration(C))
% 13.09/13.35  Current number of equations to process: 2768
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 549
% 13.09/13.35  Rule [610]
% 13.09/13.35       multiplication(multiplication(A,B),strong_iteration(C)) <->
% 13.09/13.35       multiplication(A,multiplication(B,strong_iteration(C))) addition 
% 13.09/13.35       multiplication(A,B) is composed into [610]
% 13.09/13.35                                            multiplication(multiplication(A,B),
% 13.09/13.35                                            strong_iteration(C)) <->
% 13.09/13.35                                            multiplication(A,multiplication(B,
% 13.09/13.35                                                             strong_iteration(C)))
% 13.09/13.35  New rule produced :
% 13.09/13.35  [612]
% 13.09/13.35  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.09/13.35  -> multiplication(A,multiplication(B,strong_iteration(C)))
% 13.09/13.35  Rule
% 13.09/13.35  [611]
% 13.09/13.35  multiplication(A,multiplication(B,strong_iteration(C))) addition multiplication(A,B)
% 13.09/13.35  <-> multiplication(multiplication(A,B),strong_iteration(C)) collapsed.
% 13.09/13.35  Current number of equations to process: 2767
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 549
% 13.09/13.35  New rule produced :
% 13.09/13.35  [613]
% 13.09/13.35  multiplication(multiplication(A,strong_iteration(B)),C) addition multiplication(A,C)
% 13.09/13.35  -> multiplication(multiplication(A,strong_iteration(B)),C)
% 13.09/13.35  Current number of equations to process: 2766
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 550
% 13.09/13.35  New rule produced :
% 13.09/13.35  [614]
% 13.09/13.35  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 13.09/13.35  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.09/13.35  Current number of equations to process: 2765
% 13.09/13.35  Current number of ordered equations: 1
% 13.09/13.35  Current number of rules: 551
% 13.09/13.35  New rule produced :
% 13.09/13.35  [615]
% 13.09/13.35  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.09/13.35  <-> multiplication(strong_iteration(A),multiplication(B,C))
% 13.09/13.35  Current number of equations to process: 2765
% 13.09/13.35  Current number of ordered equations: 0
% 13.09/13.35  Current number of rules: 552
% 13.09/13.35  New rule produced :
% 13.09/13.35  [616]
% 13.09/13.35  multiplication(A,multiplication(strong_iteration(B),C)) addition multiplication(A,C)
% 13.85/14.03  -> multiplication(A,multiplication(strong_iteration(B),C))
% 13.85/14.03  Current number of equations to process: 2764
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 553
% 13.85/14.03  Rule [614]
% 13.85/14.03       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 13.85/14.03       multiplication(multiplication(strong_iteration(A),B),C) addition 
% 13.85/14.03       multiplication(B,C) is composed into [614]
% 13.85/14.03                                            multiplication(strong_iteration(A),
% 13.85/14.03                                            multiplication(B,C)) <->
% 13.85/14.03                                            multiplication(multiplication(
% 13.85/14.03                                                           strong_iteration(A),B),C)
% 13.85/14.03  New rule produced :
% 13.85/14.03  [617]
% 13.85/14.03  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.85/14.03  -> multiplication(multiplication(strong_iteration(A),B),C)
% 13.85/14.03  Rule
% 13.85/14.03  [615]
% 13.85/14.03  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,C)
% 13.85/14.03  <-> multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 13.85/14.03  Current number of equations to process: 2763
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 553
% 13.85/14.03  New rule produced :
% 13.85/14.03  [618]
% 13.85/14.03  star(multiplication(A,zero) addition multiplication(B,zero)) ->
% 13.85/14.03  one addition multiplication(A,zero) addition multiplication(B,zero)
% 13.85/14.03  Current number of equations to process: 2762
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 554
% 13.85/14.03  New rule produced :
% 13.85/14.03  [619]
% 13.85/14.03  strong_iteration(multiplication(A,zero) addition multiplication(B,zero)) ->
% 13.85/14.03  one addition multiplication(A,zero) addition multiplication(B,zero)
% 13.85/14.03  Current number of equations to process: 2760
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 555
% 13.85/14.03  New rule produced :
% 13.85/14.03  [620]
% 13.85/14.03  leq(multiplication(star(one),multiplication(A,star(B))),multiplication(A,
% 13.85/14.03                                                          strong_iteration(B)))
% 13.85/14.03  -> true
% 13.85/14.03  Current number of equations to process: 2826
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 556
% 13.85/14.03  New rule produced :
% 13.85/14.03  [621]
% 13.85/14.03  leq(multiplication(multiplication(A,star(B)),star(one)),multiplication(A,
% 13.85/14.03                                                          strong_iteration(B)))
% 13.85/14.03  -> true
% 13.85/14.03  Current number of equations to process: 2829
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 557
% 13.85/14.03  New rule produced :
% 13.85/14.03  [622]
% 13.85/14.03  leq(multiplication(star(A),A),multiplication(strong_iteration(B),star(A))) ->
% 13.85/14.03  true
% 13.85/14.03  Current number of equations to process: 2844
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 558
% 13.85/14.03  New rule produced :
% 13.85/14.03  [623] leq(multiplication(star(A),A),strong_iteration(A)) -> true
% 13.85/14.03  Current number of equations to process: 2845
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 559
% 13.85/14.03  New rule produced :
% 13.85/14.03  [624] leq(multiplication(star(A),A),strong_iteration(A) addition B) -> true
% 13.85/14.03  Current number of equations to process: 2844
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 560
% 13.85/14.03  New rule produced :
% 13.85/14.03  [625] leq(multiplication(star(A),A),multiplication(star(A),star(B))) -> true
% 13.85/14.03  Current number of equations to process: 2851
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 561
% 13.85/14.03  New rule produced :
% 13.85/14.03  [626]
% 13.85/14.03  leq(multiplication(star(A),A),multiplication(star(A),strong_iteration(B))) ->
% 13.85/14.03  true
% 13.85/14.03  Current number of equations to process: 2850
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 562
% 13.85/14.03  New rule produced :
% 13.85/14.03  [627] leq(multiplication(star(A),A),multiplication(star(B),star(A))) -> true
% 13.85/14.03  Current number of equations to process: 2849
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 563
% 13.85/14.03  New rule produced :
% 13.85/14.03  [628]
% 13.85/14.03  leq(multiplication(star(A),A),multiplication(star(A),star(B)) addition C) ->
% 13.85/14.03  true
% 13.85/14.03  Current number of equations to process: 2848
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 564
% 13.85/14.03  New rule produced :
% 13.85/14.03  [629]
% 13.85/14.03  leq(multiplication(star(A),A),multiplication(star(A),strong_iteration(B)) addition C)
% 13.85/14.03  -> true
% 13.85/14.03  Current number of equations to process: 2847
% 13.85/14.03  Current number of ordered equations: 0
% 13.85/14.03  Current number of rules: 565
% 13.85/14.03  New rule produced :
% 13.85/14.03  [630]
% 13.85/14.03  leq(multiplication(star(A),A),multiplication(star(B),star(A)) addition C) ->
% 14.08/14.29  true
% 14.08/14.29  Current number of equations to process: 2846
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 566
% 14.08/14.29  New rule produced :
% 14.08/14.29  [631]
% 14.08/14.29  leq(multiplication(star(A),A),multiplication(strong_iteration(B),star(A)) addition C)
% 14.08/14.29  -> true
% 14.08/14.29  Current number of equations to process: 2845
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 567
% 14.08/14.29  New rule produced :
% 14.08/14.29  [632]
% 14.08/14.29  multiplication(star(A),star(B)) addition multiplication(C,star(C)) ->
% 14.08/14.29  star(C) addition multiplication(star(A),star(B))
% 14.08/14.29  Rule
% 14.08/14.29  [554]
% 14.08/14.29  multiplication(star(A),star(B)) addition multiplication(A,star(A)) ->
% 14.08/14.29  multiplication(star(A),star(B)) collapsed.
% 14.08/14.29  Rule
% 14.08/14.29  [558]
% 14.08/14.29  multiplication(star(A),star(B)) addition multiplication(B,star(B)) ->
% 14.08/14.29  multiplication(star(A),star(B)) collapsed.
% 14.08/14.29  Current number of equations to process: 2844
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 566
% 14.08/14.29  New rule produced :
% 14.08/14.29  [633]
% 14.08/14.29  multiplication(star(A),star(B)) addition multiplication(C,strong_iteration(C))
% 14.08/14.29  -> strong_iteration(C) addition multiplication(star(A),star(B))
% 14.08/14.29  Current number of equations to process: 2843
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 567
% 14.08/14.29  New rule produced :
% 14.08/14.29  [634]
% 14.08/14.29  multiplication(star(A),strong_iteration(B)) addition multiplication(C,
% 14.08/14.29                                                       strong_iteration(C)) ->
% 14.08/14.29  strong_iteration(C) addition multiplication(star(A),strong_iteration(B))
% 14.08/14.29  Rule
% 14.08/14.29  [560]
% 14.08/14.29  multiplication(star(A),strong_iteration(B)) addition multiplication(B,
% 14.08/14.29                                                       strong_iteration(B)) ->
% 14.08/14.29  multiplication(star(A),strong_iteration(B)) collapsed.
% 14.08/14.29  Current number of equations to process: 2842
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 567
% 14.08/14.29  New rule produced :
% 14.08/14.29  [635]
% 14.08/14.29  multiplication(strong_iteration(A),star(B)) addition multiplication(C,
% 14.08/14.29                                                       strong_iteration(C)) ->
% 14.08/14.29  strong_iteration(C) addition multiplication(strong_iteration(A),star(B))
% 14.08/14.29  Rule
% 14.08/14.29  [556]
% 14.08/14.29  multiplication(strong_iteration(A),star(B)) addition multiplication(A,
% 14.08/14.29                                                       strong_iteration(A)) ->
% 14.08/14.29  multiplication(strong_iteration(A),star(B)) collapsed.
% 14.08/14.29  Current number of equations to process: 2840
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 567
% 14.08/14.29  New rule produced :
% 14.08/14.29  [636]
% 14.08/14.29  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(C,
% 14.08/14.29                                                                   strong_iteration(C))
% 14.08/14.29  ->
% 14.08/14.29  strong_iteration(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 14.08/14.29  Rule
% 14.08/14.29  [583]
% 14.08/14.29  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(A,
% 14.08/14.29                                                                   strong_iteration(A))
% 14.08/14.29  -> multiplication(strong_iteration(A),strong_iteration(B)) collapsed.
% 14.08/14.29  Rule
% 14.08/14.29  [586]
% 14.08/14.29  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(B,
% 14.08/14.29                                                                   strong_iteration(B))
% 14.08/14.29  -> multiplication(strong_iteration(A),strong_iteration(B)) collapsed.
% 14.08/14.29  Current number of equations to process: 2835
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 566
% 14.08/14.29  New rule produced :
% 14.08/14.29  [637] leq(multiplication(star(star(A)),zero),star(A)) -> true
% 14.08/14.29  Current number of equations to process: 2830
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 567
% 14.08/14.29  New rule produced :
% 14.08/14.29  [638]
% 14.08/14.29  leq(multiplication(strong_iteration(A),zero),multiplication(strong_iteration(B),
% 14.08/14.29                                               strong_iteration(A))) -> true
% 14.08/14.29  Current number of equations to process: 2831
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 568
% 14.08/14.29  New rule produced :
% 14.08/14.29  [639]
% 14.08/14.29  leq(multiplication(strong_iteration(A),zero),multiplication(star(B),strong_iteration(A)))
% 14.08/14.29  -> true
% 14.08/14.29  Current number of equations to process: 2833
% 14.08/14.29  Current number of ordered equations: 0
% 14.08/14.29  Current number of rules: 569
% 14.08/14.29  New rule produced :
% 14.08/14.29  [640]
% 14.08/14.29  leq(multiplication(strong_iteration(A),zero),multiplication(star(B),strong_iteration(A)) addition C)
% 14.08/14.29  -> true
% 14.08/14.29  Current number of equations to process: 2832
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 570
% 14.65/14.90  New rule produced :
% 14.65/14.90  [641]
% 14.65/14.90  leq(multiplication(strong_iteration(A),zero),multiplication(strong_iteration(B),
% 14.65/14.90                                               strong_iteration(A)) addition C)
% 14.65/14.90  -> true
% 14.65/14.90  Current number of equations to process: 2831
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 571
% 14.65/14.90  New rule produced : [642] leq(multiplication(star(A),zero),star(A)) -> true
% 14.65/14.90  Current number of equations to process: 2833
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 572
% 14.65/14.90  New rule produced :
% 14.65/14.90  [643] leq(multiplication(star(A),zero),strong_iteration(A)) -> true
% 14.65/14.90  Current number of equations to process: 2835
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 573
% 14.65/14.90  New rule produced :
% 14.65/14.90  [644]
% 14.65/14.90  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),star(A))) ->
% 14.65/14.90  true
% 14.65/14.90  Current number of equations to process: 2860
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 574
% 14.65/14.90  New rule produced :
% 14.65/14.90  [645] leq(multiplication(A,star(A)),strong_iteration(A)) -> true
% 14.65/14.90  Current number of equations to process: 2861
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 575
% 14.65/14.90  New rule produced :
% 14.65/14.90  [646] leq(multiplication(A,star(A)),strong_iteration(A) addition B) -> true
% 14.65/14.90  Current number of equations to process: 2860
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 576
% 14.65/14.90  New rule produced :
% 14.65/14.90  [647] leq(multiplication(A,star(A)),multiplication(star(A),star(B))) -> true
% 14.65/14.90  Current number of equations to process: 2867
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 577
% 14.65/14.90  New rule produced :
% 14.65/14.90  [648]
% 14.65/14.90  leq(multiplication(A,star(A)),multiplication(star(A),strong_iteration(B))) ->
% 14.65/14.90  true
% 14.65/14.90  Current number of equations to process: 2866
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 578
% 14.65/14.90  New rule produced :
% 14.65/14.90  [649] leq(multiplication(A,star(A)),multiplication(star(B),star(A))) -> true
% 14.65/14.90  Current number of equations to process: 2865
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 579
% 14.65/14.90  New rule produced :
% 14.65/14.90  [650]
% 14.65/14.90  leq(multiplication(A,star(A)),multiplication(star(A),star(B)) addition C) ->
% 14.65/14.90  true
% 14.65/14.90  Current number of equations to process: 2864
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 580
% 14.65/14.90  New rule produced :
% 14.65/14.90  [651]
% 14.65/14.90  leq(multiplication(A,star(A)),multiplication(star(A),strong_iteration(B)) addition C)
% 14.65/14.90  -> true
% 14.65/14.90  Current number of equations to process: 2863
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 581
% 14.65/14.90  New rule produced :
% 14.65/14.90  [652]
% 14.65/14.90  leq(multiplication(A,star(A)),multiplication(star(B),star(A)) addition C) ->
% 14.65/14.90  true
% 14.65/14.90  Current number of equations to process: 2862
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 582
% 14.65/14.90  New rule produced :
% 14.65/14.90  [653]
% 14.65/14.90  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),star(A)) addition C)
% 14.65/14.90  -> true
% 14.65/14.90  Current number of equations to process: 2861
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 583
% 14.65/14.90  New rule produced :
% 14.65/14.90  [654]
% 14.65/14.90  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(B),
% 14.65/14.90                                            strong_iteration(A))) -> true
% 14.65/14.90  Current number of equations to process: 2862
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 584
% 14.65/14.90  New rule produced :
% 14.65/14.90  [655]
% 14.65/14.90  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 14.65/14.90                                            star(B))) -> true
% 14.65/14.90  Current number of equations to process: 2869
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 585
% 14.65/14.90  New rule produced :
% 14.65/14.90  [656]
% 14.65/14.90  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 14.65/14.90                                            strong_iteration(B))) -> true
% 14.65/14.90  Current number of equations to process: 2868
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 586
% 14.65/14.90  New rule produced :
% 14.65/14.90  [657]
% 14.65/14.90  leq(multiplication(A,strong_iteration(A)),multiplication(star(B),strong_iteration(A)))
% 14.65/14.90  -> true
% 14.65/14.90  Current number of equations to process: 2867
% 14.65/14.90  Current number of ordered equations: 0
% 14.65/14.90  Current number of rules: 587
% 14.65/14.90  New rule produced :
% 16.00/16.22  [658]
% 16.00/16.22  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 16.00/16.22                                            star(B)) addition C) -> true
% 16.00/16.22  Current number of equations to process: 2866
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 588
% 16.00/16.22  New rule produced :
% 16.00/16.22  [659]
% 16.00/16.22  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),
% 16.00/16.22                                            strong_iteration(B)) addition C) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 2865
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 589
% 16.00/16.22  New rule produced :
% 16.00/16.22  [660]
% 16.00/16.22  leq(multiplication(A,strong_iteration(A)),multiplication(star(B),strong_iteration(A)) addition C)
% 16.00/16.22  -> true
% 16.00/16.22  Current number of equations to process: 2864
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 590
% 16.00/16.22  New rule produced :
% 16.00/16.22  [661]
% 16.00/16.22  leq(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(B),
% 16.00/16.22                                            strong_iteration(A)) addition C) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 2863
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 591
% 16.00/16.22  New rule produced :
% 16.00/16.22  [662] leq(one addition A,star(B) addition multiplication(A,star(C))) -> true
% 16.00/16.22  Current number of equations to process: 2931
% 16.00/16.22  Current number of ordered equations: 1
% 16.00/16.22  Current number of rules: 592
% 16.00/16.22  New rule produced :
% 16.00/16.22  [663] leq(one addition A,multiplication(star(B),star(C)) addition A) -> true
% 16.00/16.22  Current number of equations to process: 2931
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 593
% 16.00/16.22  New rule produced :
% 16.00/16.22  [664]
% 16.00/16.22  leq(one addition A,star(B) addition multiplication(A,strong_iteration(C))) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 2929
% 16.00/16.22  Current number of ordered equations: 1
% 16.00/16.22  Current number of rules: 594
% 16.00/16.22  New rule produced :
% 16.00/16.22  [665]
% 16.00/16.22  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition A) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 2929
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 595
% 16.00/16.22  New rule produced :
% 16.00/16.22  [666] leq(one addition A,star(B) addition multiplication(star(C),A)) -> true
% 16.00/16.22  Current number of equations to process: 2927
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 596
% 16.00/16.22  New rule produced :
% 16.00/16.22  [667]
% 16.00/16.22  leq(one addition A,star(B) addition multiplication(strong_iteration(C),A)) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 2925
% 16.00/16.22  Current number of ordered equations: 1
% 16.00/16.22  Current number of rules: 597
% 16.00/16.22  New rule produced :
% 16.00/16.22  [668]
% 16.00/16.22  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition A) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 2925
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 598
% 16.00/16.22  New rule produced :
% 16.00/16.22  [669]
% 16.00/16.22  leq(one addition multiplication(A,zero),star(B) addition multiplication(A,C))
% 16.00/16.22  -> true
% 16.00/16.22  Current number of equations to process: 2932
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 599
% 16.00/16.22  New rule produced :
% 16.00/16.22  [670]
% 16.00/16.22  leq(one addition A,strong_iteration(B) addition multiplication(A,star(C))) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 3008
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 600
% 16.00/16.22  New rule produced :
% 16.00/16.22  [671]
% 16.00/16.22  leq(one addition A,strong_iteration(B) addition multiplication(A,strong_iteration(C)))
% 16.00/16.22  -> true
% 16.00/16.22  Current number of equations to process: 3006
% 16.00/16.22  Current number of ordered equations: 1
% 16.00/16.22  Current number of rules: 601
% 16.00/16.22  New rule produced :
% 16.00/16.22  [672]
% 16.00/16.22  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition A)
% 16.00/16.22  -> true
% 16.00/16.22  Current number of equations to process: 3006
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 602
% 16.00/16.22  New rule produced :
% 16.00/16.22  [673]
% 16.00/16.22  leq(one addition A,strong_iteration(B) addition multiplication(star(C),A)) ->
% 16.00/16.22  true
% 16.00/16.22  Current number of equations to process: 3005
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 603
% 16.00/16.22  New rule produced :
% 16.00/16.22  [674]
% 16.00/16.22  leq(one addition A,strong_iteration(B) addition multiplication(strong_iteration(C),A))
% 16.00/16.22  -> true
% 16.00/16.22  Current number of equations to process: 3003
% 16.00/16.22  Current number of ordered equations: 0
% 16.00/16.22  Current number of rules: 604
% 16.00/16.22  New rule produced :
% 16.00/16.22  [675]
% 16.00/16.22  leq(one addition multiplication(A,zero),strong_iteration(B) addition 
% 17.54/17.74                                          multiplication(A,C)) -> true
% 17.54/17.74  Current number of equations to process: 3010
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 605
% 17.54/17.74  New rule produced :
% 17.54/17.74  [676]
% 17.54/17.74  leq(multiplication(A,B),multiplication(multiplication(strong_iteration(C),A),B))
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3025
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 606
% 17.54/17.74  New rule produced :
% 17.54/17.74  [677]
% 17.54/17.74  leq(A,multiplication(strong_iteration(strong_iteration(B)),zero)) -> true
% 17.54/17.74  Rule
% 17.54/17.74  [460]
% 17.54/17.74  leq(A,multiplication(strong_iteration(strong_iteration(one)),zero)) -> true
% 17.54/17.74  collapsed.
% 17.54/17.74  Current number of equations to process: 3029
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 606
% 17.54/17.74  New rule produced :
% 17.54/17.74  [678]
% 17.54/17.74  leq(multiplication(star(A),A) addition multiplication(A,star(A)),star(A)) ->
% 17.54/17.74  true
% 17.54/17.74  Current number of equations to process: 3034
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 607
% 17.54/17.74  New rule produced :
% 17.54/17.74  [679]
% 17.54/17.74  leq(one addition A,star(B) addition multiplication(A,star(C)) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3032
% 17.54/17.74  Current number of ordered equations: 1
% 17.54/17.74  Current number of rules: 608
% 17.54/17.74  New rule produced :
% 17.54/17.74  [680]
% 17.54/17.74  leq(one addition A,multiplication(star(B),star(C)) addition A addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3032
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 609
% 17.54/17.74  New rule produced :
% 17.54/17.74  [681]
% 17.54/17.74  leq(one addition A,star(B) addition multiplication(A,strong_iteration(C)) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3030
% 17.54/17.74  Current number of ordered equations: 1
% 17.54/17.74  Current number of rules: 610
% 17.54/17.74  New rule produced :
% 17.54/17.74  [682]
% 17.54/17.74  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition A addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3030
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 611
% 17.54/17.74  New rule produced :
% 17.54/17.74  [683]
% 17.54/17.74  leq(one addition A,star(B) addition multiplication(star(C),A) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3028
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 612
% 17.54/17.74  New rule produced :
% 17.54/17.74  [684]
% 17.54/17.74  leq(one addition A,star(B) addition multiplication(strong_iteration(C),A) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3026
% 17.54/17.74  Current number of ordered equations: 1
% 17.54/17.74  Current number of rules: 613
% 17.54/17.74  New rule produced :
% 17.54/17.74  [685]
% 17.54/17.74  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition A addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3026
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 614
% 17.54/17.74  New rule produced :
% 17.54/17.74  [686]
% 17.54/17.74  leq(one addition A,strong_iteration(B) addition multiplication(A,star(C)) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3018
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 615
% 17.54/17.74  New rule produced :
% 17.54/17.74  [687]
% 17.54/17.74  leq(one addition A,strong_iteration(B) addition multiplication(A,strong_iteration(C)) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3016
% 17.54/17.74  Current number of ordered equations: 1
% 17.54/17.74  Current number of rules: 616
% 17.54/17.74  New rule produced :
% 17.54/17.74  [688]
% 17.54/17.74  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition A addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3016
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 617
% 17.54/17.74  New rule produced :
% 17.54/17.74  [689]
% 17.54/17.74  leq(one addition A,strong_iteration(B) addition multiplication(star(C),A) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3014
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 618
% 17.54/17.74  New rule produced :
% 17.54/17.74  [690]
% 17.54/17.74  leq(one addition A,strong_iteration(B) addition multiplication(strong_iteration(C),A) addition V_3)
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3012
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 619
% 17.54/17.74  New rule produced :
% 17.54/17.74  [691]
% 17.54/17.74  leq(A addition B,multiplication(strong_iteration(C),A) addition multiplication(
% 17.54/17.74                                                                  strong_iteration(C),B))
% 17.54/17.74  -> true
% 17.54/17.74  Current number of equations to process: 3005
% 17.54/17.74  Current number of ordered equations: 0
% 17.54/17.74  Current number of rules: 620
% 17.54/17.74  New rule produced :
% 18.22/18.41  [692]
% 18.22/18.41  leq(star(A) addition star(B),strong_iteration(A) addition strong_iteration(B))
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3161
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 621
% 18.22/18.41  New rule produced :
% 18.22/18.41  [693]
% 18.22/18.41  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,star(C)))
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3167
% 18.22/18.41  Current number of ordered equations: 1
% 18.22/18.41  Current number of rules: 622
% 18.22/18.41  New rule produced :
% 18.22/18.41  [694]
% 18.22/18.41  leq(star(A) addition B,multiplication(strong_iteration(A),star(C)) addition B)
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3167
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 623
% 18.22/18.41  New rule produced :
% 18.22/18.41  [695]
% 18.22/18.41  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,
% 18.22/18.41                                                      strong_iteration(C))) ->
% 18.22/18.41  true
% 18.22/18.41  Current number of equations to process: 3165
% 18.22/18.41  Current number of ordered equations: 1
% 18.22/18.41  Current number of rules: 624
% 18.22/18.41  New rule produced :
% 18.22/18.41  [696]
% 18.22/18.41  leq(star(A) addition B,multiplication(strong_iteration(A),strong_iteration(C)) addition B)
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3165
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 625
% 18.22/18.41  New rule produced :
% 18.22/18.41  [697]
% 18.22/18.41  leq(star(A) addition B,strong_iteration(A) addition multiplication(star(C),B))
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3163
% 18.22/18.41  Current number of ordered equations: 1
% 18.22/18.41  Current number of rules: 626
% 18.22/18.41  New rule produced :
% 18.22/18.41  [698]
% 18.22/18.41  leq(star(A) addition B,multiplication(star(C),strong_iteration(A)) addition B)
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3163
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 627
% 18.22/18.41  New rule produced :
% 18.22/18.41  [699]
% 18.22/18.41  leq(star(A) addition B,strong_iteration(A) addition multiplication(strong_iteration(C),B))
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3161
% 18.22/18.41  Current number of ordered equations: 1
% 18.22/18.41  Current number of rules: 628
% 18.22/18.41  New rule produced :
% 18.22/18.41  [700]
% 18.22/18.41  leq(star(A) addition B,multiplication(strong_iteration(C),strong_iteration(A)) addition B)
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3161
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 629
% 18.22/18.41  New rule produced :
% 18.22/18.41  [701]
% 18.22/18.41  leq(star(A) addition star(B),strong_iteration(A) addition strong_iteration(B) addition C)
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3160
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 630
% 18.22/18.41  New rule produced :
% 18.22/18.41  [702]
% 18.22/18.41  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 18.22/18.41                                              multiplication(B,C)) -> true
% 18.22/18.41  Current number of equations to process: 3159
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 631
% 18.22/18.41  New rule produced :
% 18.22/18.41  [703]
% 18.22/18.41  leq(one addition multiplication(strong_iteration(A),zero),strong_iteration(A))
% 18.22/18.41  -> true
% 18.22/18.41  Current number of equations to process: 3179
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 632
% 18.22/18.41  New rule produced :
% 18.22/18.41  [704]
% 18.22/18.41  leq(one addition multiplication(strong_iteration(A),zero) addition B,
% 18.22/18.41  strong_iteration(A) addition B) -> true
% 18.22/18.41  Current number of equations to process: 3192
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 633
% 18.22/18.41  New rule produced : [705] leq(multiplication(A,zero),A) -> true
% 18.22/18.41  Rule
% 18.22/18.41  [131]
% 18.22/18.41  leq(multiplication(strong_iteration(A),zero),strong_iteration(A)) -> true
% 18.22/18.41  collapsed.
% 18.22/18.41  Rule [642] leq(multiplication(star(A),zero),star(A)) -> true collapsed.
% 18.22/18.41  Current number of equations to process: 3207
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 632
% 18.22/18.41  New rule produced : [706] leq(multiplication(A,zero),A addition B) -> true
% 18.22/18.41  Rule
% 18.22/18.41  [132]
% 18.22/18.41  leq(multiplication(strong_iteration(A),zero),strong_iteration(A) addition B)
% 18.22/18.41  -> true collapsed.
% 18.22/18.41  Current number of equations to process: 3215
% 18.22/18.41  Current number of ordered equations: 0
% 18.22/18.41  Current number of rules: 632
% 18.22/18.41  New rule produced :
% 18.22/18.41  [707]
% 18.22/18.41  multiplication(strong_iteration(A),B) addition multiplication(B,zero) ->
% 18.22/18.41  multiplication(strong_iteration(A),B)
% 18.22/18.41  Rule
% 18.22/18.41  [589]
% 18.22/18.41  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 18.22/18.41                                                                   strong_iteration(B),zero)
% 18.22/18.41  -> multiplication(strong_iteration(A),strong_iteration(B)) collapsed.
% 18.82/19.04  Current number of equations to process: 3214
% 18.82/19.04  Current number of ordered equations: 0
% 18.82/19.04  Current number of rules: 632
% 18.82/19.04  New rule produced :
% 18.82/19.04  [708]
% 18.82/19.04  multiplication(A,multiplication(B,zero)) addition multiplication(A,B) ->
% 18.82/19.04  multiplication(A,B)
% 18.82/19.04  Rule
% 18.82/19.04  [162]
% 18.82/19.04  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(
% 18.82/19.04                                                                  strong_iteration(B),zero))
% 18.82/19.04  -> multiplication(A,strong_iteration(B)) collapsed.
% 18.82/19.04  Current number of equations to process: 3213
% 18.82/19.04  Current number of ordered equations: 0
% 18.82/19.04  Current number of rules: 632
% 18.82/19.04  New rule produced :
% 18.82/19.04  [709]
% 18.82/19.04  strong_iteration(A) addition multiplication(star(A),zero) ->
% 18.82/19.04  strong_iteration(A)
% 18.82/19.04  Current number of equations to process: 3225
% 18.82/19.04  Current number of ordered equations: 0
% 18.82/19.04  Current number of rules: 633
% 18.82/19.04  New rule produced :
% 18.82/19.04  [710] leq(multiplication(A,zero) addition B,A addition B) -> true
% 18.82/19.04  Rule
% 18.82/19.04  [147]
% 18.82/19.04  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B)
% 18.82/19.04  -> true collapsed.
% 18.82/19.04  Current number of equations to process: 3233
% 18.82/19.04  Current number of ordered equations: 0
% 18.82/19.04  Current number of rules: 633
% 18.82/19.04  New rule produced :
% 18.82/19.04  [711]
% 18.82/19.04  multiplication(star(A),B) addition multiplication(B,zero) ->
% 18.82/19.04  multiplication(star(A),B)
% 18.82/19.04  Rule
% 18.82/19.04  [563]
% 18.82/19.04  multiplication(strong_iteration(A),zero) addition multiplication(star(B),
% 18.82/19.04                                                    strong_iteration(A)) ->
% 18.82/19.04  multiplication(star(B),strong_iteration(A)) collapsed.
% 18.82/19.04  Current number of equations to process: 3232
% 18.82/19.04  Current number of ordered equations: 0
% 18.82/19.04  Current number of rules: 633
% 18.82/19.04  New rule produced :
% 18.82/19.04  [712] leq(multiplication(star(one),multiplication(A,zero)),A) -> true
% 18.82/19.04  Current number of equations to process: 3249
% 18.82/19.04  Current number of ordered equations: 0
% 18.82/19.04  Current number of rules: 634
% 18.82/19.04  New rule produced : [713] leq(multiplication(A,zero),star(A)) -> true
% 18.82/19.04  Current number of equations to process: 3287
% 18.82/19.04  Current number of ordered equations: 0
% 18.82/19.04  Current number of rules: 635
% 18.82/19.04  New rule produced :
% 18.82/19.04  [714] leq(multiplication(A,zero),star(A) addition B) -> true
% 18.82/19.05  Current number of equations to process: 3301
% 18.82/19.05  Current number of ordered equations: 0
% 18.82/19.05  Current number of rules: 636
% 18.82/19.05  New rule produced :
% 18.82/19.05  [715] leq(one addition multiplication(star(A),zero),star(A)) -> true
% 18.82/19.05  Current number of equations to process: 3300
% 18.82/19.05  Current number of ordered equations: 0
% 18.82/19.05  Current number of rules: 637
% 18.82/19.05  New rule produced :
% 18.82/19.05  [716]
% 18.82/19.05  multiplication(star(A),B) addition multiplication(A,zero) ->
% 18.82/19.05  multiplication(star(A),B)
% 18.82/19.05  Current number of equations to process: 3299
% 18.82/19.05  Current number of ordered equations: 0
% 18.82/19.05  Current number of rules: 638
% 18.82/19.05  New rule produced :
% 18.82/19.05  [717]
% 18.82/19.05  leq(multiplication(star(one),multiplication(A,zero)),A addition B) -> true
% 18.82/19.05  Current number of equations to process: 3298
% 18.82/19.05  Current number of ordered equations: 0
% 18.82/19.05  Current number of rules: 639
% 18.82/19.05  New rule produced :
% 18.82/19.05  [718] leq(one addition multiplication(A,zero),star(B) addition A) -> true
% 18.82/19.05  Current number of equations to process: 3297
% 18.82/19.05  Current number of ordered equations: 0
% 18.82/19.05  Current number of rules: 640
% 18.82/19.05  New rule produced :
% 18.82/19.05  [719]
% 18.82/19.05  leq(one addition multiplication(A,zero),strong_iteration(B) addition A) ->
% 18.82/19.05  true
% 18.82/19.05  Current number of equations to process: 3296
% 18.82/19.05  Current number of ordered equations: 0
% 18.82/19.05  Current number of rules: 641
% 18.82/19.05  New rule produced :
% 18.82/19.05  [720]
% 18.82/19.05  ifeq3(A,multiplication(A,zero),leq(A,multiplication(A,zero)),true) -> true
% 18.82/19.05  Rule
% 18.82/19.05  [418]
% 18.82/19.05  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),zero),leq(
% 18.82/19.05                                                                     strong_iteration(A),
% 18.82/19.05                                                                     multiplication(
% 18.82/19.05                                                                     strong_iteration(A),zero)),true)
% 18.82/19.05  -> true collapsed.
% 18.82/19.05  Current number of equations to process: 3294
% 18.82/19.05  Current number of ordered equations: 0
% 18.82/19.05  Current number of rules: 641
% 18.82/19.05  New rule produced :
% 18.82/19.05  [721] leq(multiplication(A,zero) addition B,A addition B addition C) -> true
% 18.82/19.05  Rule
% 18.82/19.05  [236]
% 18.82/19.05  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(A) addition B addition C)
% 18.82/19.05  -> true collapsed.
% 18.82/19.05  Current number of equations to process: 3293
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 641
% 19.70/19.89  New rule produced :
% 19.70/19.89  [722]
% 19.70/19.89  leq(one addition multiplication(star(A),zero),star(A) addition B) -> true
% 19.70/19.89  Current number of equations to process: 3291
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 642
% 19.70/19.89  New rule produced :
% 19.70/19.89  [723]
% 19.70/19.89  leq(one addition multiplication(strong_iteration(A),zero),strong_iteration(A) addition B)
% 19.70/19.89  -> true
% 19.70/19.89  Current number of equations to process: 3290
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 643
% 19.70/19.89  New rule produced :
% 19.70/19.89  [724]
% 19.70/19.89  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition B)
% 19.70/19.89  -> true
% 19.70/19.89  Current number of equations to process: 3289
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 644
% 19.70/19.89  New rule produced :
% 19.70/19.89  [725]
% 19.70/19.89  multiplication(strong_iteration(A),star(B)) addition multiplication(B,zero)
% 19.70/19.89  -> multiplication(strong_iteration(A),star(B))
% 19.70/19.89  Current number of equations to process: 3288
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 645
% 19.70/19.89  New rule produced :
% 19.70/19.89  [726] leq(multiplication(A,zero) addition B,star(A) addition B) -> true
% 19.70/19.89  Current number of equations to process: 3302
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 646
% 19.70/19.89  New rule produced :
% 19.70/19.89  [727] leq(multiplication(star(one),multiplication(A,zero)),star(A)) -> true
% 19.70/19.89  Current number of equations to process: 3308
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 647
% 19.70/19.89  New rule produced :
% 19.70/19.89  [728] leq(one addition multiplication(A,zero),star(A)) -> true
% 19.70/19.89  Current number of equations to process: 3314
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 648
% 19.70/19.89  New rule produced :
% 19.70/19.89  [729] leq(multiplication(A,zero),strong_iteration(A)) -> true
% 19.70/19.89  Current number of equations to process: 3341
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 649
% 19.70/19.89  New rule produced :
% 19.70/19.89  [730] leq(multiplication(A,zero),strong_iteration(A) addition B) -> true
% 19.70/19.89  Current number of equations to process: 3355
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 650
% 19.70/19.89  New rule produced :
% 19.70/19.89  [731]
% 19.70/19.89  multiplication(strong_iteration(A),B) addition multiplication(A,zero) ->
% 19.70/19.89  multiplication(strong_iteration(A),B)
% 19.70/19.89  Current number of equations to process: 3354
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 651
% 19.70/19.89  New rule produced :
% 19.70/19.89  [732] leq(one addition multiplication(A,zero),star(A) addition B) -> true
% 19.70/19.89  Current number of equations to process: 3353
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 652
% 19.70/19.89  New rule produced :
% 19.70/19.89  [733]
% 19.70/19.89  multiplication(star(A),star(B)) addition multiplication(B,zero) ->
% 19.70/19.89  multiplication(star(A),star(B))
% 19.70/19.89  Current number of equations to process: 3352
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 653
% 19.70/19.89  New rule produced :
% 19.70/19.89  [734]
% 19.70/19.89  leq(multiplication(star(one),multiplication(A,zero)),star(A) addition B) ->
% 19.70/19.89  true
% 19.70/19.89  Current number of equations to process: 3351
% 19.70/19.89  Current number of ordered equations: 0
% 19.70/19.89  Current number of rules: 654
% 19.70/19.89  New rule produced :
% 19.70/19.89  [735]
% 19.70/19.89  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(B,zero)
% 19.70/19.89  -> multiplication(strong_iteration(A),strong_iteration(B))
% 19.70/19.90  Current number of equations to process: 3347
% 19.70/19.90  Current number of ordered equations: 0
% 19.70/19.90  Current number of rules: 655
% 19.70/19.90  New rule produced :
% 19.70/19.90  [736]
% 19.70/19.90  leq(multiplication(A,zero) addition B,strong_iteration(A) addition B) -> true
% 19.70/19.90  Current number of equations to process: 3363
% 19.70/19.90  Current number of ordered equations: 0
% 19.70/19.90  Current number of rules: 656
% 19.70/19.90  New rule produced :
% 19.70/19.90  [737]
% 19.70/19.90  leq(multiplication(star(one),multiplication(A,zero)),strong_iteration(A)) ->
% 19.70/19.90  true
% 19.70/19.90  Current number of equations to process: 3369
% 19.70/19.90  Current number of ordered equations: 0
% 19.70/19.90  Current number of rules: 657
% 19.70/19.90  New rule produced :
% 19.70/19.90  [738] leq(one addition multiplication(A,zero),strong_iteration(A)) -> true
% 19.70/19.90  Current number of equations to process: 3375
% 19.70/19.90  Current number of ordered equations: 0
% 19.70/19.90  Current number of rules: 658
% 19.70/19.90  New rule produced :
% 19.70/19.90  [739]
% 19.70/19.90  leq(multiplication(A,zero),multiplication(multiplication(A,B),C)) -> true
% 19.70/19.90  Current number of equations to process: 3392
% 19.70/19.90  Current number of ordered equations: 0
% 19.70/19.90  Current number of rules: 659
% 19.70/19.90  New rule produced :
% 19.95/20.13  [740]
% 19.95/20.13  leq(one addition multiplication(A,zero),strong_iteration(A) addition B) ->
% 19.95/20.13  true
% 19.95/20.13  Current number of equations to process: 3391
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 660
% 19.95/20.13  New rule produced :
% 19.95/20.13  [741]
% 19.95/20.13  multiplication(star(A),strong_iteration(B)) addition multiplication(B,zero)
% 19.95/20.13  -> multiplication(star(A),strong_iteration(B))
% 19.95/20.13  Current number of equations to process: 3390
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 661
% 19.95/20.13  New rule produced :
% 19.95/20.13  [742]
% 19.95/20.13  leq(multiplication(star(one),multiplication(A,zero)),strong_iteration(A) addition B)
% 19.95/20.13  -> true
% 19.95/20.13  Current number of equations to process: 3389
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 662
% 19.95/20.13  New rule produced :
% 19.95/20.13  [743]
% 19.95/20.13  leq(multiplication(A,multiplication(B,zero)),multiplication(multiplication(A,B),C))
% 19.95/20.13  -> true
% 19.95/20.13  Current number of equations to process: 3384
% 19.95/20.13  Current number of ordered equations: 1
% 19.95/20.13  Current number of rules: 663
% 19.95/20.13  New rule produced :
% 19.95/20.13  [744]
% 19.95/20.13  leq(multiplication(multiplication(A,B),zero),multiplication(A,multiplication(B,C)))
% 19.95/20.13  -> true
% 19.95/20.13  Current number of equations to process: 3384
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 664
% 19.95/20.13  New rule produced :
% 19.95/20.13  [745]
% 19.95/20.13  leq(multiplication(A,zero),multiplication(multiplication(multiplication(A,B),C),V_3))
% 19.95/20.13  -> true
% 19.95/20.13  Current number of equations to process: 3389
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 665
% 19.95/20.13  New rule produced :
% 19.95/20.13  [746]
% 19.95/20.13  leq(multiplication(A,zero),multiplication(strong_iteration(A),zero)) -> true
% 19.95/20.13  Current number of equations to process: 3389
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 666
% 19.95/20.13  New rule produced :
% 19.95/20.13  [747]
% 19.95/20.13  leq(multiplication(A,zero),multiplication(strong_iteration(B),multiplication(A,C)))
% 19.95/20.13  -> true
% 19.95/20.13  Current number of equations to process: 3395
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 667
% 19.95/20.13  New rule produced :
% 19.95/20.13  [748]
% 19.95/20.13  leq(multiplication(A,zero),multiplication(multiplication(A,B),C) addition V_3)
% 19.95/20.13  -> true
% 19.95/20.13  Current number of equations to process: 3394
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 668
% 19.95/20.13  New rule produced :
% 19.95/20.13  [749]
% 19.95/20.13  star(multiplication(A,B)) addition multiplication(A,multiplication(B,zero))
% 19.95/20.13  -> star(multiplication(A,B))
% 19.95/20.13  Current number of equations to process: 3393
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 669
% 19.95/20.13  New rule produced :
% 19.95/20.13  [750]
% 19.95/20.13  multiplication(A,star(B)) addition multiplication(A,multiplication(B,zero))
% 19.95/20.13  -> multiplication(A,star(B))
% 19.95/20.13  Current number of equations to process: 3392
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 670
% 19.95/20.13  New rule produced :
% 19.95/20.13  [751]
% 19.95/20.13  strong_iteration(multiplication(A,B)) addition multiplication(A,multiplication(B,zero))
% 19.95/20.13  -> strong_iteration(multiplication(A,B))
% 19.95/20.13  Current number of equations to process: 3391
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 671
% 19.95/20.13  New rule produced :
% 19.95/20.13  [752]
% 19.95/20.13  multiplication(A,strong_iteration(B)) addition multiplication(A,multiplication(B,zero))
% 19.95/20.13  -> multiplication(A,strong_iteration(B))
% 19.95/20.13  Current number of equations to process: 3390
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 672
% 19.95/20.13  New rule produced :
% 19.95/20.13  [753]
% 19.95/20.13  ifeq2(leq(A,multiplication(A,zero)),true,A,multiplication(A,zero)) ->
% 19.95/20.13  multiplication(A,zero)
% 19.95/20.13  Current number of equations to process: 3389
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 673
% 19.95/20.13  New rule produced :
% 19.95/20.13  [754] ifeq(leq(A,zero),true,leq(multiplication(star(A),A),zero),true) -> true
% 19.95/20.13  Current number of equations to process: 3388
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 674
% 19.95/20.13  New rule produced :
% 19.95/20.13  [755]
% 19.95/20.13  leq(one addition multiplication(A,zero),star(B) addition A addition C) ->
% 19.95/20.13  true
% 19.95/20.13  Current number of equations to process: 3386
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 675
% 19.95/20.13  New rule produced :
% 19.95/20.13  [756]
% 19.95/20.13  leq(one addition multiplication(A,zero),strong_iteration(B) addition A addition C)
% 19.95/20.13  -> true
% 19.95/20.13  Current number of equations to process: 3385
% 19.95/20.13  Current number of ordered equations: 0
% 19.95/20.13  Current number of rules: 676
% 19.95/20.13  New rule produced :
% 19.95/20.13  [757]
% 19.95/20.13  leq(multiplication(star(A),zero) addition multiplication(A,star(A)),star(A))
% 19.95/20.13  -> true
% 20.87/21.08  Current number of equations to process: 3384
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 677
% 20.87/21.08  New rule produced :
% 20.87/21.08  [758]
% 20.87/21.08  leq(multiplication(strong_iteration(A),zero) addition multiplication(A,
% 20.87/21.08                                                        strong_iteration(A)),
% 20.87/21.08  strong_iteration(A)) -> true
% 20.87/21.08  Current number of equations to process: 3383
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 678
% 20.87/21.08  New rule produced :
% 20.87/21.08  [759]
% 20.87/21.08  leq(multiplication(A,zero) addition B,star(A) addition B addition C) -> true
% 20.87/21.08  Current number of equations to process: 3382
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 679
% 20.87/21.08  New rule produced :
% 20.87/21.08  [760]
% 20.87/21.08  leq(one addition multiplication(A,zero) addition B,star(A) addition B) ->
% 20.87/21.08  true
% 20.87/21.08  Current number of equations to process: 3381
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 680
% 20.87/21.08  New rule produced :
% 20.87/21.08  [761]
% 20.87/21.08  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 20.87/21.08                                              star(B)) -> true
% 20.87/21.08  Current number of equations to process: 3380
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 681
% 20.87/21.08  New rule produced :
% 20.87/21.08  [762]
% 20.87/21.08  leq(multiplication(A,zero) addition B,strong_iteration(A) addition B addition C)
% 20.87/21.08  -> true
% 20.87/21.08  Current number of equations to process: 3379
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 682
% 20.87/21.08  New rule produced :
% 20.87/21.08  [763]
% 20.87/21.08  leq(one addition multiplication(A,zero) addition B,strong_iteration(A) addition B)
% 20.87/21.08  -> true
% 20.87/21.08  Current number of equations to process: 3378
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 683
% 20.87/21.08  New rule produced :
% 20.87/21.08  [764]
% 20.87/21.08  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 20.87/21.08                                              strong_iteration(B)) -> true
% 20.87/21.08  Current number of equations to process: 3377
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 684
% 20.87/21.08  New rule produced :
% 20.87/21.08  [765]
% 20.87/21.08  leq(multiplication(A,zero),multiplication(strong_iteration(B),multiplication(A,C)) addition V_3)
% 20.87/21.08  -> true
% 20.87/21.08  Current number of equations to process: 3376
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 685
% 20.87/21.08  New rule produced :
% 20.87/21.08  [766]
% 20.87/21.08  leq(multiplication(A,zero),multiplication(strong_iteration(A),B)) -> true
% 20.87/21.08  Rule
% 20.87/21.08  [746]
% 20.87/21.08  leq(multiplication(A,zero),multiplication(strong_iteration(A),zero)) -> true
% 20.87/21.08  collapsed.
% 20.87/21.08  Current number of equations to process: 3376
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 685
% 20.87/21.08  New rule produced :
% 20.87/21.08  [767]
% 20.87/21.08  leq(multiplication(A,zero),multiplication(star(B),multiplication(A,C))) ->
% 20.87/21.08  true
% 20.87/21.08  Current number of equations to process: 3382
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 686
% 20.87/21.08  New rule produced :
% 20.87/21.08  [768]
% 20.87/21.08  leq(multiplication(A,zero),multiplication(star(B),multiplication(A,C)) addition V_3)
% 20.87/21.08  -> true
% 20.87/21.08  Current number of equations to process: 3381
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 687
% 20.87/21.08  New rule produced :
% 20.87/21.08  [769]
% 20.87/21.08  multiplication(multiplication(A,star(B)),zero) addition multiplication(A,
% 20.87/21.08                                                          strong_iteration(B))
% 20.87/21.08  -> multiplication(A,strong_iteration(B))
% 20.87/21.08  Current number of equations to process: 3408
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 688
% 20.87/21.08  New rule produced :
% 20.87/21.08  [770]
% 20.87/21.08  leq(A,multiplication(strong_iteration(strong_iteration(B)),star(B))) -> true
% 20.87/21.08  Current number of equations to process: 3408
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 689
% 20.87/21.08  New rule produced :
% 20.87/21.08  [771] star(strong_iteration(A)) addition star(A) -> star(strong_iteration(A))
% 20.87/21.08  Current number of equations to process: 3474
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 690
% 20.87/21.08  New rule produced :
% 20.87/21.08  [772]
% 20.87/21.08  strong_iteration(strong_iteration(A)) addition star(A) ->
% 20.87/21.08  strong_iteration(strong_iteration(A))
% 20.87/21.08  Current number of equations to process: 3475
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 691
% 20.87/21.08  New rule produced :
% 20.87/21.08  [773]
% 20.87/21.08  ifeq3(A addition B,A,leq(multiplication(A,zero) addition B,A),true) -> true
% 20.87/21.08  Current number of equations to process: 3474
% 20.87/21.08  Current number of ordered equations: 0
% 20.87/21.08  Current number of rules: 692
% 21.55/21.77  New rule produced :
% 21.55/21.77  [774]
% 21.55/21.77  ifeq2(leq(multiplication(A,zero) addition B,A),true,A addition B,A) -> A
% 21.55/21.77  Current number of equations to process: 3473
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 693
% 21.55/21.77  New rule produced :
% 21.55/21.77  [775]
% 21.55/21.77  leq(one addition multiplication(star(A),zero) addition B,star(A) addition B)
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3472
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 694
% 21.55/21.77  New rule produced :
% 21.55/21.77  [776]
% 21.55/21.77  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition B addition C)
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3471
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 695
% 21.55/21.77  New rule produced :
% 21.55/21.77  [777]
% 21.55/21.77  ifeq3(star(A),multiplication(A,zero),leq(star(A),multiplication(A,zero)),true)
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3470
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 696
% 21.55/21.77  New rule produced :
% 21.55/21.77  [778]
% 21.55/21.77  ifeq3(strong_iteration(A),multiplication(A,zero),leq(strong_iteration(A),
% 21.55/21.77                                                   multiplication(A,zero)),true)
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3467
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 697
% 21.55/21.77  New rule produced :
% 21.55/21.77  [779]
% 21.55/21.77  leq(multiplication(multiplication(A,B),zero),multiplication(A,multiplication(
% 21.55/21.77                                                                multiplication(B,C),V_3)))
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3464
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 698
% 21.55/21.77  New rule produced :
% 21.55/21.77  [780]
% 21.55/21.77  leq(multiplication(multiplication(A,B),zero),multiplication(multiplication(A,
% 21.55/21.77                                                              multiplication(B,C)),V_3))
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3463
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 699
% 21.55/21.77  New rule produced :
% 21.55/21.77  [781]
% 21.55/21.77  leq(multiplication(A,multiplication(B,zero)),multiplication(multiplication(A,B),C) addition V_3)
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3461
% 21.55/21.77  Current number of ordered equations: 1
% 21.55/21.77  Current number of rules: 700
% 21.55/21.77  New rule produced :
% 21.55/21.77  [782]
% 21.55/21.77  leq(multiplication(multiplication(A,B),zero),multiplication(A,multiplication(B,C)) addition V_3)
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3461
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 701
% 21.55/21.77  New rule produced :
% 21.55/21.77  [783]
% 21.55/21.77  leq(multiplication(A,zero),multiplication(multiplication(multiplication(A,B),C),V_3) addition V_4)
% 21.55/21.77  -> true
% 21.55/21.77  Current number of equations to process: 3460
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 702
% 21.55/21.77  New rule produced :
% 21.55/21.77  [784]
% 21.55/21.77  star(A) addition multiplication(multiplication(strong_iteration(A),B),C) <->
% 21.55/21.77  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 21.55/21.77  Current number of equations to process: 3459
% 21.55/21.77  Current number of ordered equations: 1
% 21.55/21.77  Current number of rules: 703
% 21.55/21.77  New rule produced :
% 21.55/21.77  [785]
% 21.55/21.77  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 21.55/21.77  <-> star(A) addition multiplication(multiplication(strong_iteration(A),B),C)
% 21.55/21.77  Current number of equations to process: 3459
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 704
% 21.55/21.77  New rule produced :
% 21.55/21.77  [786]
% 21.55/21.77  star(multiplication(A,B)) addition multiplication(A,zero) ->
% 21.55/21.77  star(multiplication(A,B))
% 21.55/21.77  Current number of equations to process: 3493
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 705
% 21.55/21.77  New rule produced :
% 21.55/21.77  [787]
% 21.55/21.77  strong_iteration(multiplication(A,B)) addition multiplication(A,zero) ->
% 21.55/21.77  strong_iteration(multiplication(A,B))
% 21.55/21.77  Current number of equations to process: 3492
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 706
% 21.55/21.77  New rule produced :
% 21.55/21.77  [788]
% 21.55/21.77  multiplication(multiplication(A,strong_iteration(A)),multiplication(A,zero))
% 21.55/21.77  -> multiplication(strong_iteration(A),multiplication(A,zero))
% 21.55/21.77  Current number of equations to process: 3509
% 21.55/21.77  Current number of ordered equations: 0
% 21.55/21.77  Current number of rules: 707
% 21.55/21.77  New rule produced :
% 21.55/21.77  [789]
% 21.55/21.77  multiplication(multiplication(A,star(A)),multiplication(A,zero)) ->
% 21.55/21.77  multiplication(star(A),multiplication(A,zero))
% 21.55/21.77  Current number of equations to process: 3552
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 708
% 24.18/24.41  New rule produced :
% 24.18/24.41  [790]
% 24.18/24.41  multiplication(multiplication(star(A),A),multiplication(star(A),zero)) ->
% 24.18/24.41  multiplication(star(A),multiplication(star(A),zero))
% 24.18/24.41  Current number of equations to process: 3558
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 709
% 24.18/24.41  New rule produced :
% 24.18/24.41  [791]
% 24.18/24.41  leq(multiplication(A,zero) addition B,multiplication(multiplication(A,C),V_3) addition B)
% 24.18/24.41  -> true
% 24.18/24.41  Current number of equations to process: 3557
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 710
% 24.18/24.41  New rule produced :
% 24.18/24.41  [792]
% 24.18/24.41  leq(multiplication(star(one),multiplication(A,zero)),multiplication(multiplication(A,B),C))
% 24.18/24.41  -> true
% 24.18/24.41  Current number of equations to process: 3564
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 711
% 24.18/24.41  New rule produced :
% 24.18/24.41  [793]
% 24.18/24.41  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 24.18/24.41                                                          strong_iteration(A),B))
% 24.18/24.41  -> true
% 24.18/24.41  Current number of equations to process: 3598
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 712
% 24.18/24.41  Rule [785]
% 24.18/24.41       strong_iteration(A) addition multiplication(strong_iteration(A),
% 24.18/24.41                                    multiplication(B,C)) <->
% 24.18/24.41       star(A) addition multiplication(multiplication(strong_iteration(A),B),C) is composed into 
% 24.18/24.41  [785]
% 24.18/24.41  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 24.18/24.41  <->
% 24.18/24.41  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),B),C)
% 24.18/24.41  New rule produced :
% 24.18/24.41  [794]
% 24.18/24.41  star(A) addition multiplication(multiplication(strong_iteration(A),B),C) ->
% 24.18/24.41  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),B),C)
% 24.18/24.41  Rule
% 24.18/24.41  [784]
% 24.18/24.41  star(A) addition multiplication(multiplication(strong_iteration(A),B),C) <->
% 24.18/24.41  strong_iteration(A) addition multiplication(strong_iteration(A),multiplication(B,C))
% 24.18/24.41  collapsed.
% 24.18/24.41  Current number of equations to process: 3597
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 712
% 24.18/24.41  New rule produced :
% 24.18/24.41  [795]
% 24.18/24.41  leq(multiplication(star(A),zero) addition B,multiplication(star(A),B)) ->
% 24.18/24.41  true
% 24.18/24.41  Current number of equations to process: 3611
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 713
% 24.18/24.41  New rule produced :
% 24.18/24.41  [796]
% 24.18/24.41  star(strong_iteration(A)) addition multiplication(A,star(strong_iteration(A)))
% 24.18/24.41  -> star(strong_iteration(A)) addition A
% 24.18/24.41  Current number of equations to process: 3664
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 714
% 24.18/24.41  New rule produced :
% 24.18/24.41  [797]
% 24.18/24.41  multiplication(multiplication(A,B),star(B)) addition multiplication(A,
% 24.18/24.41                                                       star(B)) ->
% 24.18/24.41  multiplication(A,star(B))
% 24.18/24.41  Current number of equations to process: 3663
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 715
% 24.18/24.41  New rule produced :
% 24.18/24.41  [798]
% 24.18/24.41  leq(multiplication(multiplication(A,B),star(B)),multiplication(A,star(B))) ->
% 24.18/24.41  true
% 24.18/24.41  Current number of equations to process: 3739
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 716
% 24.18/24.41  New rule produced :
% 24.18/24.41  [799]
% 24.18/24.41  star(star(A)) addition multiplication(A,star(star(A))) ->
% 24.18/24.41  star(star(A)) addition A
% 24.18/24.41  Current number of equations to process: 3738
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 717
% 24.18/24.41  New rule produced :
% 24.18/24.41  [800]
% 24.18/24.41  multiplication(multiplication(A,B),zero) addition multiplication(A,star(B))
% 24.18/24.41  -> multiplication(A,star(B))
% 24.18/24.41  Current number of equations to process: 3737
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 718
% 24.18/24.41  New rule produced :
% 24.18/24.41  [801]
% 24.18/24.41  multiplication(A,star(B)) addition multiplication(A,B) ->
% 24.18/24.41  multiplication(A,star(B))
% 24.18/24.41  Current number of equations to process: 3795
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 719
% 24.18/24.41  New rule produced :
% 24.18/24.41  [802]
% 24.18/24.41  leq(multiplication(multiplication(A,B),zero),multiplication(A,star(B))) ->
% 24.18/24.41  true
% 24.18/24.41  Current number of equations to process: 3848
% 24.18/24.41  Current number of ordered equations: 0
% 24.18/24.41  Current number of rules: 720
% 24.18/24.41  New rule produced :
% 24.18/24.41  [803]
% 24.18/24.41  leq(multiplication(multiplication(A,B),zero),multiplication(A,star(B)) addition C)
% 24.18/24.41  -> true
% 24.18/24.41  Current number of equations to process: 3885
% 24.18/24.41  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 721
% 24.41/24.59  New rule produced :
% 24.41/24.59  [804]
% 24.41/24.59  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 24.41/24.59                                                          star(B))) -> true
% 24.41/24.59  Current number of equations to process: 3884
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 722
% 24.41/24.59  New rule produced :
% 24.41/24.59  [805]
% 24.41/24.59  multiplication(multiplication(A,B),strong_iteration(B)) addition multiplication(A,
% 24.41/24.59                                                                   star(B)) ->
% 24.41/24.59  multiplication(A,strong_iteration(B))
% 24.41/24.59  Current number of equations to process: 3882
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 723
% 24.41/24.59  New rule produced :
% 24.41/24.59  [806]
% 24.41/24.59  leq(multiplication(multiplication(A,B),star(B)),multiplication(A,star(B)) addition C)
% 24.41/24.59  -> true
% 24.41/24.59  Current number of equations to process: 3881
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 724
% 24.41/24.59  New rule produced :
% 24.41/24.59  [807]
% 24.41/24.59  multiplication(multiplication(A,strong_iteration(A)),multiplication(B,zero)) addition B
% 24.41/24.59  -> multiplication(strong_iteration(A),multiplication(B,zero)) addition B
% 24.41/24.59  Current number of equations to process: 3880
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 725
% 24.41/24.59  New rule produced :
% 24.41/24.59  [808]
% 24.41/24.59  multiplication(multiplication(A,star(A)),multiplication(B,zero)) addition B
% 24.41/24.59  -> multiplication(star(A),multiplication(B,zero)) addition B
% 24.41/24.59  Current number of equations to process: 3879
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 726
% 24.41/24.59  New rule produced :
% 24.41/24.59  [809]
% 24.41/24.59  multiplication(multiplication(star(A),A),multiplication(B,zero)) addition B
% 24.41/24.59  -> multiplication(star(A),multiplication(B,zero)) addition B
% 24.41/24.59  Current number of equations to process: 3878
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 727
% 24.41/24.59  New rule produced :
% 24.41/24.59  [810]
% 24.41/24.59  star(A addition B) addition multiplication(A,zero) addition multiplication(B,zero)
% 24.41/24.59  -> star(A addition B)
% 24.41/24.59  Current number of equations to process: 3877
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 728
% 24.41/24.59  New rule produced :
% 24.41/24.59  [811]
% 24.41/24.59  strong_iteration(A addition B) addition multiplication(A,zero) addition 
% 24.41/24.59  multiplication(B,zero) -> strong_iteration(A addition B)
% 24.41/24.59  Current number of equations to process: 3876
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 729
% 24.41/24.59  New rule produced :
% 24.41/24.59  [812]
% 24.41/24.59  strong_iteration(A) addition multiplication(multiplication(star(A),B),
% 24.41/24.59                               star(B)) ->
% 24.41/24.59  strong_iteration(A) addition multiplication(star(A),star(B))
% 24.41/24.59  Current number of equations to process: 3873
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 730
% 24.41/24.59  New rule produced :
% 24.41/24.59  [813]
% 24.41/24.59  star(A) addition multiplication(multiplication(A,star(A)),star(B)) ->
% 24.41/24.59  one addition multiplication(multiplication(A,star(A)),star(B))
% 24.41/24.59  Current number of equations to process: 3872
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 731
% 24.41/24.59  New rule produced :
% 24.41/24.59  [814]
% 24.41/24.59  star(A) addition multiplication(multiplication(star(A),A),star(B)) ->
% 24.41/24.59  one addition multiplication(multiplication(star(A),A),star(B))
% 24.41/24.59  Current number of equations to process: 3871
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 732
% 24.41/24.59  New rule produced :
% 24.41/24.59  [815]
% 24.41/24.59  strong_iteration(A) addition multiplication(multiplication(A,strong_iteration(A)),
% 24.41/24.59                               star(B)) ->
% 24.41/24.59  one addition multiplication(multiplication(A,strong_iteration(A)),star(B))
% 24.41/24.59  Current number of equations to process: 3870
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 733
% 24.41/24.59  New rule produced :
% 24.41/24.59  [816]
% 24.41/24.59  star(A) addition multiplication(star(B),multiplication(A,star(A))) ->
% 24.41/24.59  one addition multiplication(star(B),multiplication(A,star(A)))
% 24.41/24.59  Current number of equations to process: 3869
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 734
% 24.41/24.59  New rule produced :
% 24.41/24.59  [817]
% 24.41/24.59  star(A) addition multiplication(star(B),multiplication(star(A),A)) ->
% 24.41/24.59  one addition multiplication(star(B),multiplication(star(A),A))
% 24.41/24.59  Current number of equations to process: 3868
% 24.41/24.59  Current number of ordered equations: 0
% 24.41/24.59  Current number of rules: 735
% 24.41/24.59  New rule produced :
% 24.41/24.59  [818]
% 24.41/24.59  strong_iteration(A) addition multiplication(star(B),multiplication(A,
% 24.58/24.75                                                      strong_iteration(A))) ->
% 24.58/24.75  one addition multiplication(star(B),multiplication(A,strong_iteration(A)))
% 24.58/24.75  Current number of equations to process: 3867
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 736
% 24.58/24.75  New rule produced :
% 24.58/24.75  [819]
% 24.58/24.75  star(A) addition multiplication(multiplication(A,star(A)),strong_iteration(B))
% 24.58/24.75  -> one addition multiplication(multiplication(A,star(A)),strong_iteration(B))
% 24.58/24.75  Current number of equations to process: 3866
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 737
% 24.58/24.75  New rule produced :
% 24.58/24.75  [820]
% 24.58/24.75  star(A) addition multiplication(multiplication(star(A),A),strong_iteration(B))
% 24.58/24.75  -> one addition multiplication(multiplication(star(A),A),strong_iteration(B))
% 24.58/24.75  Current number of equations to process: 3865
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 738
% 24.58/24.75  New rule produced :
% 24.58/24.75  [821]
% 24.58/24.75  strong_iteration(A) addition multiplication(multiplication(A,strong_iteration(A)),
% 24.58/24.75                               strong_iteration(B)) ->
% 24.58/24.75  one addition multiplication(multiplication(A,strong_iteration(A)),strong_iteration(B))
% 24.58/24.75  Current number of equations to process: 3864
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 739
% 24.58/24.75  New rule produced :
% 24.58/24.75  [822]
% 24.58/24.75  star(A) addition multiplication(strong_iteration(B),multiplication(A,star(A)))
% 24.58/24.75  -> one addition multiplication(strong_iteration(B),multiplication(A,star(A)))
% 24.58/24.75  Current number of equations to process: 3863
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 740
% 24.58/24.75  New rule produced :
% 24.58/24.75  [823]
% 24.58/24.75  star(A) addition multiplication(strong_iteration(B),multiplication(star(A),A))
% 24.58/24.75  -> one addition multiplication(strong_iteration(B),multiplication(star(A),A))
% 24.58/24.75  Current number of equations to process: 3862
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 741
% 24.58/24.75  New rule produced :
% 24.58/24.75  [824]
% 24.58/24.75  strong_iteration(A) addition multiplication(strong_iteration(B),multiplication(A,
% 24.58/24.75                                                                  strong_iteration(A)))
% 24.58/24.75  ->
% 24.58/24.75  one addition multiplication(strong_iteration(B),multiplication(A,strong_iteration(A)))
% 24.58/24.75  Current number of equations to process: 3861
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 742
% 24.58/24.75  New rule produced :
% 24.58/24.75  [825]
% 24.58/24.75  leq(multiplication(star(one),multiplication(A,star(B))),multiplication(A,
% 24.58/24.75                                                          strong_iteration(B)) addition C)
% 24.58/24.75  -> true
% 24.58/24.75  Current number of equations to process: 3860
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 743
% 24.58/24.75  New rule produced :
% 24.58/24.75  [826]
% 24.58/24.75  leq(multiplication(multiplication(A,star(B)),star(one)),multiplication(A,
% 24.58/24.75                                                          strong_iteration(B)) addition C)
% 24.58/24.75  -> true
% 24.58/24.75  Current number of equations to process: 3859
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 744
% 24.58/24.75  New rule produced :
% 24.58/24.75  [827]
% 24.58/24.75  leq(one addition multiplication(A,zero),star(B) addition multiplication(A,C) addition V_3)
% 24.58/24.75  -> true
% 24.58/24.75  Current number of equations to process: 3858
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 745
% 24.58/24.75  New rule produced :
% 24.58/24.75  [828]
% 24.58/24.75  leq(one addition multiplication(A,star(B)),star(C) addition multiplication(A,
% 24.58/24.75                                                              strong_iteration(B)))
% 24.58/24.75  -> true
% 24.58/24.75  Current number of equations to process: 3857
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 746
% 24.58/24.75  New rule produced :
% 24.58/24.75  [829]
% 24.58/24.75  leq(one addition multiplication(A,zero),strong_iteration(B) addition 
% 24.58/24.75                                          multiplication(A,C) addition V_3) ->
% 24.58/24.75  true
% 24.58/24.75  Current number of equations to process: 3856
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 747
% 24.58/24.75  New rule produced :
% 24.58/24.75  [830]
% 24.58/24.75  leq(one addition multiplication(A,star(B)),strong_iteration(C) addition 
% 24.58/24.75                                             multiplication(A,strong_iteration(B)))
% 24.58/24.75  -> true
% 24.58/24.75  Current number of equations to process: 3855
% 24.58/24.75  Current number of ordered equations: 0
% 24.58/24.75  Current number of rules: 748
% 24.58/24.75  New rule produced :
% 24.58/24.75  [831]
% 24.58/24.75  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 24.58/24.75                                                           strong_iteration(V_3),A),
% 24.72/24.91                                            multiplication(B,C))) -> true
% 24.72/24.91  Current number of equations to process: 3854
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 749
% 24.72/24.91  New rule produced :
% 24.72/24.91  [832]
% 24.72/24.91  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 24.72/24.91                                                           multiplication(
% 24.72/24.91                                                           strong_iteration(V_3),A),B),C))
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3853
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 750
% 24.72/24.91  New rule produced :
% 24.72/24.91  [833]
% 24.72/24.91  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 24.72/24.91                                                           strong_iteration(V_3),
% 24.72/24.91                                                           multiplication(A,B)),C))
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3852
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 751
% 24.72/24.91  New rule produced :
% 24.72/24.91  [834]
% 24.72/24.91  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 24.72/24.91                                                           multiplication(
% 24.72/24.91                                                           strong_iteration(V_3),A),B),C))
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3851
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 752
% 24.72/24.91  New rule produced :
% 24.72/24.91  [835]
% 24.72/24.91  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,star(C)) addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3849
% 24.72/24.91  Current number of ordered equations: 1
% 24.72/24.91  Current number of rules: 753
% 24.72/24.91  New rule produced :
% 24.72/24.91  [836]
% 24.72/24.91  leq(star(A) addition B,multiplication(strong_iteration(A),star(C)) addition B addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3849
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 754
% 24.72/24.91  New rule produced :
% 24.72/24.91  [837]
% 24.72/24.91  leq(star(A) addition B,strong_iteration(A) addition multiplication(B,
% 24.72/24.91                                                      strong_iteration(C)) addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3845
% 24.72/24.91  Current number of ordered equations: 1
% 24.72/24.91  Current number of rules: 755
% 24.72/24.91  New rule produced :
% 24.72/24.91  [838]
% 24.72/24.91  leq(star(A) addition B,multiplication(strong_iteration(A),strong_iteration(C)) addition B addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3845
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 756
% 24.72/24.91  New rule produced :
% 24.72/24.91  [839]
% 24.72/24.91  leq(star(A) addition B,strong_iteration(A) addition multiplication(star(C),B) addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3843
% 24.72/24.91  Current number of ordered equations: 1
% 24.72/24.91  Current number of rules: 757
% 24.72/24.91  New rule produced :
% 24.72/24.91  [840]
% 24.72/24.91  leq(star(A) addition B,multiplication(star(C),strong_iteration(A)) addition B addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3843
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 758
% 24.72/24.91  New rule produced :
% 24.72/24.91  [841]
% 24.72/24.91  leq(star(A) addition B,strong_iteration(A) addition multiplication(strong_iteration(C),B) addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3841
% 24.72/24.91  Current number of ordered equations: 1
% 24.72/24.91  Current number of rules: 759
% 24.72/24.91  New rule produced :
% 24.72/24.91  [842]
% 24.72/24.91  leq(star(A) addition B,multiplication(strong_iteration(C),strong_iteration(A)) addition B addition V_3)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3841
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 760
% 24.72/24.91  New rule produced :
% 24.72/24.91  [843]
% 24.72/24.91  ifeq(leq(one,A),true,leq(one,multiplication(strong_iteration(A),multiplication(A,zero))),true)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3832
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 761
% 24.72/24.91  New rule produced :
% 24.72/24.91  [844]
% 24.72/24.91  ifeq(leq(A,one),true,leq(multiplication(star(A),multiplication(A,zero)),one),true)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3831
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 762
% 24.72/24.91  New rule produced :
% 24.72/24.91  [845]
% 24.72/24.91  leq(one addition multiplication(A,zero) addition B,star(C) addition A addition B)
% 24.72/24.91  -> true
% 24.72/24.91  Current number of equations to process: 3830
% 24.72/24.91  Current number of ordered equations: 0
% 24.72/24.91  Current number of rules: 763
% 24.88/25.06  New rule produced :
% 24.88/25.06  [846]
% 24.88/25.06  leq(one addition multiplication(A,zero) addition B,strong_iteration(C) addition A addition B)
% 24.88/25.06  -> true
% 24.88/25.06  Current number of equations to process: 3829
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 764
% 24.88/25.06  New rule produced :
% 24.88/25.06  [847]
% 24.88/25.06  ifeq2(leq(star(A),multiplication(A,zero)),true,star(A),multiplication(A,zero))
% 24.88/25.06  -> multiplication(A,zero)
% 24.88/25.06  Current number of equations to process: 3827
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 765
% 24.88/25.06  New rule produced :
% 24.88/25.06  [848]
% 24.88/25.06  leq(one addition multiplication(A,zero) addition B,star(A) addition B addition C)
% 24.88/25.06  -> true
% 24.88/25.06  Current number of equations to process: 3823
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 766
% 24.88/25.06  New rule produced :
% 24.88/25.06  [849]
% 24.88/25.06  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 24.88/25.06                                              star(B) addition C) -> true
% 24.88/25.06  Current number of equations to process: 3822
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 767
% 24.88/25.06  New rule produced :
% 24.88/25.06  [850]
% 24.88/25.06  ifeq2(leq(strong_iteration(A),multiplication(A,zero)),true,strong_iteration(A),
% 24.88/25.06  multiplication(A,zero)) -> multiplication(A,zero)
% 24.88/25.06  Current number of equations to process: 3820
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 768
% 24.88/25.06  New rule produced :
% 24.88/25.06  [851]
% 24.88/25.06  ifeq(leq(strong_iteration(A),zero),true,leq(multiplication(star(A),strong_iteration(A)),zero),true)
% 24.88/25.06  -> true
% 24.88/25.06  Current number of equations to process: 3819
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 769
% 24.88/25.06  New rule produced :
% 24.88/25.06  [852]
% 24.88/25.06  leq(one addition multiplication(A,zero) addition B,strong_iteration(A) addition B addition C)
% 24.88/25.06  -> true
% 24.88/25.06  Current number of equations to process: 3815
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 770
% 24.88/25.06  New rule produced :
% 24.88/25.06  [853]
% 24.88/25.06  leq(star(A) addition multiplication(B,zero),strong_iteration(A) addition 
% 24.88/25.06                                              strong_iteration(B) addition C)
% 24.88/25.06  -> true
% 24.88/25.06  Current number of equations to process: 3814
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 771
% 24.88/25.06  Rule [360]
% 24.88/25.06       multiplication(A,multiplication(B,multiplication(C,V_3))) <->
% 24.88/25.06       multiplication(multiplication(multiplication(A,B),C),V_3) addition 
% 24.88/25.06       multiplication(A,zero) is composed into [360]
% 24.88/25.06                                               multiplication(A,multiplication(B,
% 24.88/25.06                                                                multiplication(C,V_3)))
% 24.88/25.06                                               <->
% 24.88/25.06                                               multiplication(multiplication(
% 24.88/25.06                                                              multiplication(A,B),C),V_3)
% 24.88/25.06  Rule [358]
% 24.88/25.06       multiplication(A,multiplication(multiplication(B,C),V_3)) <->
% 24.88/25.06       multiplication(multiplication(multiplication(A,B),C),V_3) addition 
% 24.88/25.06       multiplication(A,zero) is composed into [358]
% 24.88/25.06                                               multiplication(A,multiplication(
% 24.88/25.06                                                                multiplication(B,C),V_3))
% 24.88/25.06                                               <->
% 24.88/25.06                                               multiplication(multiplication(
% 24.88/25.06                                                              multiplication(A,B),C),V_3)
% 24.88/25.06  New rule produced :
% 24.88/25.06  [854]
% 24.88/25.06  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 24.88/25.06  -> multiplication(multiplication(multiplication(A,B),C),V_3)
% 24.88/25.06  Rule
% 24.88/25.06  [357]
% 24.88/25.06  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 24.88/25.06  <-> multiplication(A,multiplication(multiplication(B,C),V_3)) collapsed.
% 24.88/25.06  Rule
% 24.88/25.06  [359]
% 24.88/25.06  multiplication(multiplication(multiplication(A,B),C),V_3) addition multiplication(A,zero)
% 24.88/25.06  <-> multiplication(A,multiplication(B,multiplication(C,V_3))) collapsed.
% 24.88/25.06  Current number of equations to process: 3813
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 770
% 24.88/25.06  New rule produced :
% 24.88/25.06  [855]
% 24.88/25.06  leq(multiplication(star(one),multiplication(A,zero)),multiplication(multiplication(A,B),C) addition V_3)
% 24.88/25.06  -> true
% 24.88/25.06  Current number of equations to process: 3808
% 24.88/25.06  Current number of ordered equations: 0
% 24.88/25.06  Current number of rules: 771
% 26.10/26.25  New rule produced :
% 26.10/26.25  [856]
% 26.10/26.25  leq(one addition multiplication(A,zero),star(B) addition multiplication(
% 26.10/26.25                                                           multiplication(A,C),V_3))
% 26.10/26.25  -> true
% 26.10/26.25  Current number of equations to process: 3807
% 26.10/26.25  Current number of ordered equations: 0
% 26.10/26.25  Current number of rules: 772
% 26.10/26.25  New rule produced :
% 26.10/26.25  [857]
% 26.10/26.25  leq(one addition multiplication(A,zero),strong_iteration(B) addition 
% 26.10/26.25                                          multiplication(multiplication(A,C),V_3))
% 26.10/26.25  -> true
% 26.10/26.25  Current number of equations to process: 3806
% 26.10/26.25  Current number of ordered equations: 0
% 26.10/26.25  Current number of rules: 773
% 26.10/26.25  New rule produced :
% 26.10/26.25  [858]
% 26.10/26.25  leq(multiplication(A,B),multiplication(A,multiplication(B,star(C)))) -> true
% 26.10/26.25  Current number of equations to process: 3904
% 26.10/26.25  Current number of ordered equations: 0
% 26.10/26.25  Current number of rules: 774
% 26.10/26.25  New rule produced :
% 26.10/26.25  [859] leq(star(A),multiplication(strong_iteration(star(A)),zero)) -> true
% 26.10/26.25  Current number of equations to process: 3908
% 26.10/26.25  Current number of ordered equations: 0
% 26.10/26.25  Current number of rules: 775
% 26.10/26.26  New rule produced : [860] leq(A,strong_iteration(B) addition star(A)) -> true
% 26.10/26.26  Current number of equations to process: 3913
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 776
% 26.10/26.26  New rule produced : [861] leq(A,star(A)) -> true
% 26.10/26.26  Rule
% 26.10/26.26  [416]
% 26.10/26.26  ifeq(leq(A,star(A)),true,leq(A,multiplication(strong_iteration(star(A)),
% 26.10/26.26                                 star(A))),true) -> true collapsed.
% 26.10/26.26  Rule
% 26.10/26.26  [461] ifeq(leq(A,star(A)),true,leq(A,strong_iteration(star(A))),true) -> true
% 26.10/26.26  collapsed.
% 26.10/26.26  Current number of equations to process: 3916
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 775
% 26.10/26.26  New rule produced : [862] leq(A,star(A) addition B) -> true
% 26.10/26.26  Rule [860] leq(A,strong_iteration(B) addition star(A)) -> true collapsed.
% 26.10/26.26  Current number of equations to process: 3915
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 775
% 26.10/26.26  New rule produced : [863] leq(A,strong_iteration(star(A))) -> true
% 26.10/26.26  Current number of equations to process: 3915
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 776
% 26.10/26.26  New rule produced :
% 26.10/26.26  [864]
% 26.10/26.26  leq(A,multiplication(strong_iteration(B),multiplication(A,star(C)))) -> true
% 26.10/26.26  Current number of equations to process: 3914
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 777
% 26.10/26.26  New rule produced :
% 26.10/26.26  [865]
% 26.10/26.26  leq(A,multiplication(strong_iteration(B),multiplication(A,star(C))) addition V_3)
% 26.10/26.26  -> true
% 26.10/26.26  Current number of equations to process: 3912
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 778
% 26.10/26.26  New rule produced :
% 26.10/26.26  [866] leq(star(A),multiplication(strong_iteration(star(A)),B)) -> true
% 26.10/26.26  Rule
% 26.10/26.26  [859] leq(star(A),multiplication(strong_iteration(star(A)),zero)) -> true
% 26.10/26.26  collapsed.
% 26.10/26.26  Current number of equations to process: 3912
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 778
% 26.10/26.26  New rule produced :
% 26.10/26.26  [867] leq(A,multiplication(multiplication(A,star(B)),star(C))) -> true
% 26.10/26.26  Current number of equations to process: 3921
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 779
% 26.10/26.26  New rule produced :
% 26.10/26.26  [868]
% 26.10/26.26  leq(A,multiplication(multiplication(A,star(B)),strong_iteration(C))) -> true
% 26.10/26.26  Current number of equations to process: 3920
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 780
% 26.10/26.26  New rule produced :
% 26.10/26.26  [869] leq(A,multiplication(star(B),multiplication(A,star(C)))) -> true
% 26.10/26.26  Current number of equations to process: 3919
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 781
% 26.10/26.26  New rule produced :
% 26.10/26.26  [870]
% 26.10/26.26  leq(A,multiplication(multiplication(A,star(B)),star(C)) addition V_3) -> true
% 26.10/26.26  Current number of equations to process: 3918
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 782
% 26.10/26.26  New rule produced :
% 26.10/26.26  [871]
% 26.10/26.26  leq(A,multiplication(multiplication(A,star(B)),strong_iteration(C)) addition V_3)
% 26.10/26.26  -> true
% 26.10/26.26  Current number of equations to process: 3917
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 783
% 26.10/26.26  New rule produced :
% 26.10/26.26  [872]
% 26.10/26.26  leq(A,multiplication(star(B),multiplication(A,star(C))) addition V_3) -> true
% 26.10/26.26  Current number of equations to process: 3916
% 26.10/26.26  Current number of ordered equations: 0
% 26.10/26.26  Current number of rules: 784
% 29.20/29.39  New rule produced :
% 29.20/29.39  [873] leq(multiplication(A,B),multiplication(A,star(B))) -> true
% 29.20/29.39  Current number of equations to process: 3917
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 785
% 29.20/29.39  New rule produced :
% 29.20/29.39  [874] leq(multiplication(A,B),multiplication(A,star(B)) addition C) -> true
% 29.20/29.39  Current number of equations to process: 3916
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 786
% 29.20/29.39  New rule produced :
% 29.20/29.39  [875] leq(A,multiplication(strong_iteration(star(A)),star(A))) -> true
% 29.20/29.39  Current number of equations to process: 3937
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 787
% 29.20/29.39  New rule produced :
% 29.20/29.39  [876]
% 29.20/29.39  leq(multiplication(A,B),multiplication(A,multiplication(B,star(C))) addition V_3)
% 29.20/29.39  -> true
% 29.20/29.39  Current number of equations to process: 3936
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 788
% 29.20/29.39  New rule produced :
% 29.20/29.39  [877]
% 29.20/29.39  multiplication(A,multiplication(star(B),star(C))) addition A ->
% 29.20/29.39  multiplication(A,multiplication(star(B),star(C)))
% 29.20/29.39  Current number of equations to process: 3935
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 789
% 29.20/29.39  New rule produced :
% 29.20/29.39  [878]
% 29.20/29.39  multiplication(multiplication(star(A),star(B)),C) addition C ->
% 29.20/29.39  multiplication(multiplication(star(A),star(B)),C)
% 29.20/29.39  Current number of equations to process: 3934
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 790
% 29.20/29.39  New rule produced : [879] leq(star(A),strong_iteration(star(B))) -> true
% 29.20/29.39  Current number of equations to process: 3948
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 791
% 29.20/29.39  New rule produced :
% 29.20/29.39  [880]
% 29.20/29.39  leq(one addition multiplication(star(A),zero),multiplication(star(A),star(B)))
% 29.20/29.39  -> true
% 29.20/29.39  Current number of equations to process: 3987
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 792
% 29.20/29.39  New rule produced :
% 29.20/29.39  [881]
% 29.20/29.39  multiplication(A,multiplication(strong_iteration(B),star(C))) addition A ->
% 29.20/29.39  multiplication(A,multiplication(strong_iteration(B),star(C)))
% 29.20/29.39  Current number of equations to process: 3986
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 793
% 29.20/29.39  New rule produced :
% 29.20/29.39  [882]
% 29.20/29.39  multiplication(multiplication(strong_iteration(A),star(B)),C) addition C ->
% 29.20/29.39  multiplication(multiplication(strong_iteration(A),star(B)),C)
% 29.20/29.39  Current number of equations to process: 3985
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 794
% 29.20/29.39  New rule produced :
% 29.20/29.39  [883] leq(star(A),strong_iteration(strong_iteration(B))) -> true
% 29.20/29.39  Current number of equations to process: 3999
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 795
% 29.20/29.39  New rule produced :
% 29.20/29.39  [884]
% 29.20/29.39  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 29.20/29.39                                                            strong_iteration(A),
% 29.20/29.39                                                            star(B))) -> true
% 29.20/29.39  Current number of equations to process: 4068
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 796
% 29.20/29.39  New rule produced :
% 29.20/29.39  [885]
% 29.20/29.39  multiplication(multiplication(A,star(B)),B) addition multiplication(A,
% 29.20/29.39                                                       star(B)) ->
% 29.20/29.39  multiplication(A,star(B))
% 29.20/29.39  Current number of equations to process: 4067
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 797
% 29.20/29.39  New rule produced :
% 29.20/29.39  [886] multiplication(A,star(A)) <-> multiplication(star(A),A)
% 29.20/29.39  Current number of equations to process: 4104
% 29.20/29.39  Current number of ordered equations: 1
% 29.20/29.39  Current number of rules: 798
% 29.20/29.39  New rule produced :
% 29.20/29.39  [887] multiplication(star(A),A) <-> multiplication(A,star(A))
% 29.20/29.39  Current number of equations to process: 4104
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 799
% 29.20/29.39  New rule produced :
% 29.20/29.39  [888]
% 29.20/29.39  leq(multiplication(multiplication(A,star(B)),B),multiplication(A,star(B))) ->
% 29.20/29.39  true
% 29.20/29.39  Current number of equations to process: 4136
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 800
% 29.20/29.39  New rule produced :
% 29.20/29.39  [889]
% 29.20/29.39  multiplication(multiplication(A,star(strong_iteration(B))),strong_iteration(B))
% 29.20/29.39  -> multiplication(A,star(strong_iteration(B)))
% 29.20/29.39  Current number of equations to process: 4200
% 29.20/29.39  Current number of ordered equations: 0
% 29.20/29.39  Current number of rules: 801
% 29.20/29.39  New rule produced :
% 29.20/29.39  [890]
% 29.20/29.39  multiplication(multiplication(A,star(star(B))),star(B)) ->
% 30.60/30.77  multiplication(A,star(star(B)))
% 30.60/30.77  Current number of equations to process: 4263
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 802
% 30.60/30.77  New rule produced :
% 30.60/30.77  [891]
% 30.60/30.77  multiplication(multiplication(A,star(strong_iteration(B))),star(B)) ->
% 30.60/30.77  multiplication(A,star(strong_iteration(B)))
% 30.60/30.77  Current number of equations to process: 4262
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 803
% 30.60/30.77  New rule produced :
% 30.60/30.77  [892]
% 30.60/30.77  star(multiplication(A,star(A))) addition star(A) ->
% 30.60/30.77  star(multiplication(A,star(A)))
% 30.60/30.77  Current number of equations to process: 4284
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 804
% 30.60/30.77  New rule produced : [893] leq(one addition A,star(A)) -> true
% 30.60/30.77  Current number of equations to process: 4339
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 805
% 30.60/30.77  New rule produced :
% 30.60/30.77  [894] leq(multiplication(A,B) addition A,multiplication(A,star(B))) -> true
% 30.60/30.77  Current number of equations to process: 4347
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 806
% 30.60/30.77  New rule produced :
% 30.60/30.77  [895]
% 30.60/30.77  leq(strong_iteration(A) addition B,strong_iteration(A) addition star(B)) ->
% 30.60/30.77  true
% 30.60/30.77  Current number of equations to process: 4346
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 807
% 30.60/30.77  New rule produced :
% 30.60/30.77  [896] leq(one addition A addition B,star(A) addition B) -> true
% 30.60/30.77  Current number of equations to process: 4345
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 808
% 30.60/30.77  New rule produced :
% 30.60/30.77  [897]
% 30.60/30.77  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 30.60/30.77                                           star(B))) -> true
% 30.60/30.77  Current number of equations to process: 4344
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 809
% 30.60/30.77  New rule produced :
% 30.60/30.77  [898]
% 30.60/30.77  leq(star(A),one addition multiplication(multiplication(star(A),A),star(B)))
% 30.60/30.77  -> true
% 30.60/30.77  Current number of equations to process: 4343
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 810
% 30.60/30.77  New rule produced :
% 30.60/30.77  [899]
% 30.60/30.77  leq(star(A),one addition multiplication(multiplication(A,star(A)),star(B)))
% 30.60/30.77  -> true
% 30.60/30.77  Current number of equations to process: 4342
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 811
% 30.60/30.77  New rule produced :
% 30.60/30.77  [900]
% 30.60/30.77  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 30.60/30.77                                                      strong_iteration(A)),
% 30.60/30.77                                       star(B))) -> true
% 30.60/30.77  Current number of equations to process: 4340
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 812
% 30.60/30.77  New rule produced :
% 30.60/30.77  [901] leq(star(A) addition star(B),multiplication(star(B),star(A))) -> true
% 30.60/30.77  Current number of equations to process: 4376
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 813
% 30.60/30.77  New rule produced :
% 30.60/30.77  [902] leq(star(A) addition B,star(A) addition star(B)) -> true
% 30.60/30.77  Current number of equations to process: 4387
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 814
% 30.60/30.77  New rule produced :
% 30.60/30.77  [903]
% 30.60/30.77  star(multiplication(star(A),A)) addition star(A) ->
% 30.60/30.77  star(multiplication(star(A),A))
% 30.60/30.77  Current number of equations to process: 4420
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 815
% 30.60/30.77  New rule produced :
% 30.60/30.77  [904]
% 30.60/30.77  leq(A addition B,multiplication(A,star(C)) addition multiplication(B,star(C)))
% 30.60/30.77  -> true
% 30.60/30.77  Current number of equations to process: 4424
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 816
% 30.60/30.77  New rule produced :
% 30.60/30.77  [905]
% 30.60/30.77  leq(multiplication(multiplication(A,star(B)),B),multiplication(A,star(B)) addition C)
% 30.60/30.77  -> true
% 30.60/30.77  Current number of equations to process: 4423
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 817
% 30.60/30.77  New rule produced :
% 30.60/30.77  [906]
% 30.60/30.77  multiplication(multiplication(A,star(multiplication(B,star(B)))),star(B)) ->
% 30.60/30.77  multiplication(A,star(multiplication(B,star(B))))
% 30.60/30.77  Current number of equations to process: 4422
% 30.60/30.77  Current number of ordered equations: 0
% 30.60/30.77  Current number of rules: 818
% 30.60/30.77  New rule produced :
% 30.60/30.77  [907]
% 30.60/30.77  multiplication(multiplication(A,star(multiplication(star(B),B))),star(B)) ->
% 30.60/30.77  multiplication(A,star(multiplication(star(B),B)))
% 30.60/30.77  Current number of equations to process: 4421
% 30.60/30.77  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 819
% 31.53/31.71  New rule produced :
% 31.53/31.71  [908]
% 31.53/31.71  multiplication(multiplication(A,star(multiplication(B,strong_iteration(B)))),
% 31.53/31.71  strong_iteration(B)) ->
% 31.53/31.71  multiplication(A,star(multiplication(B,strong_iteration(B))))
% 31.53/31.71  Current number of equations to process: 4420
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 820
% 31.53/31.71  New rule produced :
% 31.53/31.71  [909]
% 31.53/31.71  leq(multiplication(multiplication(A,star(B)),zero) addition A,multiplication(A,
% 31.53/31.71                                                                star(B))) ->
% 31.53/31.71  true
% 31.53/31.71  Current number of equations to process: 4418
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 821
% 31.53/31.71  New rule produced :
% 31.53/31.71  [910]
% 31.53/31.71  multiplication(star(multiplication(A,star(A))),multiplication(star(A),B)) ->
% 31.53/31.71  multiplication(star(multiplication(A,star(A))),B)
% 31.53/31.71  Current number of equations to process: 4416
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 822
% 31.53/31.71  New rule produced :
% 31.53/31.71  [911]
% 31.53/31.71  leq(multiplication(A,multiplication(strong_iteration(B),zero)) addition A,
% 31.53/31.71  multiplication(A,strong_iteration(B))) -> true
% 31.53/31.71  Current number of equations to process: 4411
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 823
% 31.53/31.71  New rule produced :
% 31.53/31.71  [912]
% 31.53/31.71  multiplication(star(multiplication(star(A),A)),multiplication(star(A),B)) ->
% 31.53/31.71  multiplication(star(multiplication(star(A),A)),B)
% 31.53/31.71  Current number of equations to process: 4409
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 824
% 31.53/31.71  New rule produced : [913] leq(A addition B,star(A) addition B) -> true
% 31.53/31.71  Rule
% 31.53/31.71  [895]
% 31.53/31.71  leq(strong_iteration(A) addition B,strong_iteration(A) addition star(B)) ->
% 31.53/31.71  true collapsed.
% 31.53/31.71  Rule [902] leq(star(A) addition B,star(A) addition star(B)) -> true
% 31.53/31.71  collapsed.
% 31.53/31.71  Current number of equations to process: 4521
% 31.53/31.71  Current number of ordered equations: 1
% 31.53/31.71  Current number of rules: 823
% 31.53/31.71  New rule produced : [914] leq(one addition A,star(A) addition B) -> true
% 31.53/31.71  Current number of equations to process: 4521
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 824
% 31.53/31.71  New rule produced :
% 31.53/31.71  [915] leq(A addition B,star(A) addition B addition C) -> true
% 31.53/31.71  Current number of equations to process: 4538
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 825
% 31.53/31.71  New rule produced :
% 31.53/31.71  [916]
% 31.53/31.71  leq(multiplication(A,B) addition C,multiplication(A,star(B)) addition C) ->
% 31.53/31.71  true
% 31.53/31.71  Current number of equations to process: 4536
% 31.53/31.71  Current number of ordered equations: 1
% 31.53/31.71  Current number of rules: 826
% 31.53/31.71  New rule produced :
% 31.53/31.71  [917]
% 31.53/31.71  leq(multiplication(A,B) addition A,multiplication(A,star(B)) addition C) ->
% 31.53/31.71  true
% 31.53/31.71  Current number of equations to process: 4536
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 827
% 31.53/31.71  New rule produced :
% 31.53/31.71  [918] leq(one addition A addition B,star(A) addition B addition C) -> true
% 31.53/31.71  Current number of equations to process: 4534
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 828
% 31.53/31.71  New rule produced :
% 31.53/31.71  [919]
% 31.53/31.71  leq(A addition B,multiplication(A,star(C)) addition multiplication(B,
% 31.53/31.71                                                      star(V_3))) -> true
% 31.53/31.71  Rule
% 31.53/31.71  [904]
% 31.53/31.71  leq(A addition B,multiplication(A,star(C)) addition multiplication(B,star(C)))
% 31.53/31.71  -> true collapsed.
% 31.53/31.71  Current number of equations to process: 4532
% 31.53/31.71  Current number of ordered equations: 1
% 31.53/31.71  Current number of rules: 828
% 31.53/31.71  New rule produced :
% 31.53/31.71  [920]
% 31.53/31.71  leq(A addition B,multiplication(multiplication(A,star(C)),star(V_3)) addition B)
% 31.53/31.71  -> true
% 31.53/31.71  Current number of equations to process: 4532
% 31.53/31.71  Current number of ordered equations: 0
% 31.53/31.71  Current number of rules: 829
% 31.53/31.71  New rule produced :
% 31.53/31.71  [921]
% 31.53/31.71  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(A,
% 31.53/31.71                                                                  star(V_3)))
% 31.53/31.71  -> true
% 31.53/31.71  Current number of equations to process: 4528
% 31.53/31.71  Current number of ordered equations: 2
% 31.53/31.71  Current number of rules: 830
% 31.53/31.71  New rule produced :
% 31.53/31.71  [922]
% 31.53/31.71  leq(A addition B,multiplication(strong_iteration(C),multiplication(A,
% 31.53/31.71                                                      star(V_3))) addition B)
% 31.53/31.71  -> true
% 31.53/31.71  Current number of equations to process: 4528
% 31.53/31.71  Current number of ordered equations: 1
% 31.53/31.71  Current number of rules: 831
% 31.53/31.71  New rule produced :
% 31.53/31.71  [923]
% 31.53/31.71  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 32.37/32.55                                           star(B)) addition C) -> true
% 32.37/32.55  Current number of equations to process: 4528
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 832
% 32.37/32.55  New rule produced :
% 32.37/32.55  [924]
% 32.37/32.55  one addition multiplication(multiplication(star(A),star(B)),star(C)) ->
% 32.37/32.55  multiplication(multiplication(star(A),star(B)),star(C))
% 32.37/32.55  Current number of equations to process: 4527
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 833
% 32.37/32.55  New rule produced :
% 32.37/32.55  [925]
% 32.37/32.55  one addition multiplication(strong_iteration(A),multiplication(star(B),
% 32.37/32.55                                                  star(C))) ->
% 32.37/32.55  multiplication(strong_iteration(A),multiplication(star(B),star(C)))
% 32.37/32.55  Current number of equations to process: 4526
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 834
% 32.37/32.55  New rule produced :
% 32.37/32.55  [926]
% 32.37/32.55  one addition multiplication(multiplication(star(A),star(B)),strong_iteration(C))
% 32.37/32.55  -> multiplication(multiplication(star(A),star(B)),strong_iteration(C))
% 32.37/32.55  Current number of equations to process: 4524
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 835
% 32.37/32.55  New rule produced :
% 32.37/32.55  [927]
% 32.37/32.55  one addition multiplication(star(A),multiplication(star(B),star(C))) ->
% 32.37/32.55  multiplication(star(A),multiplication(star(B),star(C)))
% 32.37/32.55  Current number of equations to process: 4523
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 836
% 32.37/32.55  New rule produced :
% 32.37/32.55  [928]
% 32.37/32.55  one addition multiplication(multiplication(strong_iteration(A),star(B)),
% 32.37/32.55               star(C)) ->
% 32.37/32.55  multiplication(multiplication(strong_iteration(A),star(B)),star(C))
% 32.37/32.55  Current number of equations to process: 4518
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 837
% 32.37/32.55  New rule produced :
% 32.37/32.55  [929]
% 32.37/32.55  one addition multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 32.37/32.55                                                  star(C))) ->
% 32.37/32.55  multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 32.37/32.55                                     star(C)))
% 32.37/32.55  Current number of equations to process: 4517
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 838
% 32.37/32.55  New rule produced :
% 32.37/32.55  [930]
% 32.37/32.55  one addition multiplication(multiplication(strong_iteration(A),star(B)),
% 32.37/32.55               strong_iteration(C)) ->
% 32.37/32.55  multiplication(multiplication(strong_iteration(A),star(B)),strong_iteration(C))
% 32.37/32.55  Current number of equations to process: 4515
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 839
% 32.37/32.55  New rule produced :
% 32.37/32.55  [931]
% 32.37/32.55  one addition multiplication(star(A),multiplication(strong_iteration(B),
% 32.37/32.55                                      star(C))) ->
% 32.37/32.55  multiplication(star(A),multiplication(strong_iteration(B),star(C)))
% 32.37/32.55  Current number of equations to process: 4514
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 840
% 32.37/32.55  New rule produced :
% 32.37/32.55  [932]
% 32.37/32.55  strong_iteration(A) addition multiplication(multiplication(star(A),star(B)),B)
% 32.37/32.55  -> strong_iteration(A) addition multiplication(star(A),star(B))
% 32.37/32.55  Current number of equations to process: 4509
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 841
% 32.37/32.55  New rule produced :
% 32.37/32.55  [933]
% 32.37/32.55  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 32.37/32.55                                                                  star(V_3)))
% 32.37/32.55  -> true
% 32.37/32.55  Current number of equations to process: 4611
% 32.37/32.55  Current number of ordered equations: 1
% 32.37/32.55  Current number of rules: 842
% 32.37/32.55  New rule produced :
% 32.37/32.55  [934]
% 32.37/32.55  leq(A addition B,multiplication(multiplication(A,star(C)),strong_iteration(V_3)) addition B)
% 32.37/32.55  -> true
% 32.37/32.55  Current number of equations to process: 4611
% 32.37/32.55  Current number of ordered equations: 0
% 32.37/32.55  Current number of rules: 843
% 32.37/32.55  New rule produced :
% 32.37/32.55  [935]
% 32.37/32.55  leq(A addition B,multiplication(star(C),B) addition multiplication(A,
% 32.37/32.55                                                      star(V_3))) -> true
% 32.37/32.55  Current number of equations to process: 4608
% 32.37/32.55  Current number of ordered equations: 2
% 32.37/32.55  Current number of rules: 844
% 32.37/32.55  New rule produced :
% 32.37/32.55  [936]
% 32.37/32.55  leq(A addition B,multiplication(star(C),multiplication(A,star(V_3))) addition B)
% 32.37/32.55  -> true
% 32.37/32.55  Current number of equations to process: 4608
% 32.37/32.55  Current number of ordered equations: 1
% 32.37/32.55  Current number of rules: 845
% 35.47/35.65  New rule produced :
% 35.47/35.65  [937]
% 35.47/35.65  leq(star(A) addition star(B),multiplication(star(B),star(A)) addition C) ->
% 35.47/35.65  true
% 35.47/35.65  Current number of equations to process: 4608
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 846
% 35.47/35.65  New rule produced :
% 35.47/35.65  [938]
% 35.47/35.65  leq(multiplication(A,zero) addition B,multiplication(B,star(C)) addition A)
% 35.47/35.65  -> true
% 35.47/35.65  Current number of equations to process: 4663
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 847
% 35.47/35.65  New rule produced :
% 35.47/35.65  [939]
% 35.47/35.65  strong_iteration(strong_iteration(A)) addition multiplication(A,strong_iteration(
% 35.47/35.65                                                                  strong_iteration(A)))
% 35.47/35.65  -> strong_iteration(strong_iteration(A)) addition A
% 35.47/35.65  Current number of equations to process: 4742
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 848
% 35.47/35.65  New rule produced :
% 35.47/35.65  [940]
% 35.47/35.65  multiplication(multiplication(A,B),strong_iteration(B)) addition multiplication(A,
% 35.47/35.65                                                                   strong_iteration(B))
% 35.47/35.65  -> multiplication(A,strong_iteration(B))
% 35.47/35.65  Current number of equations to process: 4741
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 849
% 35.47/35.65  New rule produced :
% 35.47/35.65  [941]
% 35.47/35.65  leq(multiplication(multiplication(A,B),strong_iteration(B)),multiplication(A,
% 35.47/35.65                                                              strong_iteration(B)))
% 35.47/35.65  -> true
% 35.47/35.65  Current number of equations to process: 4813
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 850
% 35.47/35.65  New rule produced :
% 35.47/35.65  [942]
% 35.47/35.65  strong_iteration(star(A)) addition multiplication(A,strong_iteration(star(A)))
% 35.47/35.65  -> strong_iteration(star(A)) addition A
% 35.47/35.65  Current number of equations to process: 4812
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 851
% 35.47/35.65  New rule produced :
% 35.47/35.65  [943]
% 35.47/35.65  multiplication(multiplication(A,B),zero) addition multiplication(A,strong_iteration(B))
% 35.47/35.65  -> multiplication(A,strong_iteration(B))
% 35.47/35.65  Current number of equations to process: 4811
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 852
% 35.47/35.65  New rule produced :
% 35.47/35.65  [944]
% 35.47/35.65  multiplication(A,strong_iteration(B)) addition multiplication(A,B) ->
% 35.47/35.65  multiplication(A,strong_iteration(B))
% 35.47/35.65  Current number of equations to process: 4869
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 853
% 35.47/35.65  New rule produced :
% 35.47/35.65  [945]
% 35.47/35.65  leq(multiplication(multiplication(A,B),zero),multiplication(A,strong_iteration(B)))
% 35.47/35.65  -> true
% 35.47/35.65  Current number of equations to process: 4920
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 854
% 35.47/35.65  New rule produced :
% 35.47/35.65  [946]
% 35.47/35.65  leq(multiplication(multiplication(A,B),zero),multiplication(A,strong_iteration(B)) addition C)
% 35.47/35.65  -> true
% 35.47/35.65  Current number of equations to process: 4960
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 855
% 35.47/35.65  New rule produced :
% 35.47/35.65  [947]
% 35.47/35.65  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 35.47/35.65                                                          strong_iteration(B)))
% 35.47/35.65  -> true
% 35.47/35.65  Current number of equations to process: 4959
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 856
% 35.47/35.65  New rule produced :
% 35.47/35.65  [948]
% 35.47/35.65  multiplication(multiplication(A,B),star(B)) addition multiplication(A,
% 35.47/35.65                                                       strong_iteration(B)) ->
% 35.47/35.65  multiplication(A,strong_iteration(B))
% 35.47/35.65  Current number of equations to process: 4957
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 857
% 35.47/35.65  New rule produced :
% 35.47/35.65  [949]
% 35.47/35.65  leq(multiplication(A,zero) addition B,star(A) addition multiplication(B,
% 35.47/35.65                                                         star(C))) -> true
% 35.47/35.65  Current number of equations to process: 4956
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 858
% 35.47/35.65  New rule produced :
% 35.47/35.65  [950]
% 35.47/35.65  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(B,
% 35.47/35.65                                                                     star(C)))
% 35.47/35.65  -> true
% 35.47/35.65  Current number of equations to process: 4955
% 35.47/35.65  Current number of ordered equations: 0
% 35.47/35.65  Current number of rules: 859
% 35.47/35.65  New rule produced :
% 35.47/35.65  [951]
% 35.47/35.65  leq(multiplication(multiplication(A,B),strong_iteration(B)),multiplication(A,
% 35.47/35.65                                                              strong_iteration(B)) addition C)
% 35.95/36.13  -> true
% 35.95/36.13  Current number of equations to process: 4954
% 35.95/36.13  Current number of ordered equations: 0
% 35.95/36.13  Current number of rules: 860
% 35.95/36.13  New rule produced :
% 35.95/36.13  [952]
% 35.95/36.13  leq(multiplication(star(multiplication(A,star(A))),A),star(multiplication(A,
% 35.95/36.13                                                             star(A)))) -> true
% 35.95/36.13  Current number of equations to process: 1923
% 35.95/36.13  Current number of ordered equations: 0
% 35.95/36.13  Current number of rules: 861
% 35.95/36.13  New rule produced :
% 35.95/36.13  [953]
% 35.95/36.13  leq(multiplication(star(multiplication(star(A),A)),A),star(multiplication(
% 35.95/36.13                                                             star(A),A))) ->
% 35.95/36.13  true
% 35.95/36.13  Current number of equations to process: 1922
% 35.95/36.13  Current number of ordered equations: 0
% 35.95/36.13  Current number of rules: 862
% 35.95/36.13  New rule produced :
% 35.95/36.13  [954]
% 35.95/36.13  strong_iteration(A) addition multiplication(multiplication(star(A),B),
% 35.95/36.13                               strong_iteration(B)) ->
% 35.95/36.13  strong_iteration(A) addition multiplication(star(A),strong_iteration(B))
% 35.95/36.13  Current number of equations to process: 1921
% 35.95/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 863
% 35.99/36.13  New rule produced :
% 35.99/36.13  [955]
% 35.99/36.13  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),
% 35.99/36.13                                            multiplication(C,star(V_3)))) ->
% 35.99/36.13  true
% 35.99/36.13  Current number of equations to process: 1920
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 864
% 35.99/36.13  New rule produced :
% 35.99/36.13  [956]
% 35.99/36.13  leq(multiplication(A,multiplication(B,C)),multiplication(A,multiplication(B,
% 35.99/36.13                                                             multiplication(C,
% 35.99/36.13                                                             star(V_3))))) ->
% 35.99/36.13  true
% 35.99/36.13  Current number of equations to process: 1919
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 865
% 35.99/36.13  New rule produced :
% 35.99/36.13  [957]
% 35.99/36.13  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(
% 35.99/36.13                                                             multiplication(B,C),
% 35.99/36.13                                                             star(V_3)))) ->
% 35.99/36.13  true
% 35.99/36.13  Current number of equations to process: 1918
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 866
% 35.99/36.13  New rule produced :
% 35.99/36.13  [958]
% 35.99/36.13  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(B,
% 35.99/36.13                                                             multiplication(C,
% 35.99/36.13                                                             star(V_3))))) ->
% 35.99/36.13  true
% 35.99/36.13  Current number of equations to process: 1917
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 867
% 35.99/36.13  New rule produced :
% 35.99/36.13  [959]
% 35.99/36.13  leq(multiplication(A,B) addition A addition C,multiplication(A,star(B)) addition C)
% 35.99/36.13  -> true
% 35.99/36.13  Current number of equations to process: 1916
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 868
% 35.99/36.13  New rule produced :
% 35.99/36.13  [960]
% 35.99/36.13  leq(multiplication(A,B) addition C,multiplication(A,multiplication(B,
% 35.99/36.13                                                      star(V_3))) addition C)
% 35.99/36.13  -> true
% 35.99/36.13  Current number of equations to process: 1914
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 869
% 35.99/36.13  New rule produced :
% 35.99/36.13  [961]
% 35.99/36.13  leq(multiplication(A,B) addition C,multiplication(A,star(B)) addition C addition V_3)
% 35.99/36.13  -> true
% 35.99/36.13  Current number of equations to process: 1912
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 870
% 35.99/36.13  New rule produced :
% 35.99/36.13  [962]
% 35.99/36.13  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(strong_iteration(A),
% 35.99/36.13                                                       star(C)) addition B) ->
% 35.99/36.13  true
% 35.99/36.13  Current number of equations to process: 1911
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 871
% 35.99/36.13  New rule produced :
% 35.99/36.13  [963]
% 35.99/36.13  leq(star(A),one addition multiplication(multiplication(star(A),A),star(B)) addition C)
% 35.99/36.13  -> true
% 35.99/36.13  Current number of equations to process: 1909
% 35.99/36.13  Current number of ordered equations: 1
% 35.99/36.13  Current number of rules: 872
% 35.99/36.13  New rule produced :
% 35.99/36.13  [964]
% 35.99/36.13  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(B,
% 35.99/36.13                                                            star(C))) -> true
% 35.99/36.13  Current number of equations to process: 1909
% 35.99/36.13  Current number of ordered equations: 0
% 35.99/36.13  Current number of rules: 873
% 37.30/37.44  New rule produced :
% 37.30/37.44  [965]
% 37.30/37.44  leq(star(A),one addition multiplication(multiplication(A,star(A)),star(B)) addition C)
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 1907
% 37.30/37.44  Current number of ordered equations: 1
% 37.30/37.44  Current number of rules: 874
% 37.30/37.44  New rule produced :
% 37.30/37.44  [966]
% 37.30/37.44  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(B,
% 37.30/37.44                                                            star(C))) -> true
% 37.30/37.44  Current number of equations to process: 1907
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 875
% 37.30/37.44  New rule produced :
% 37.30/37.44  [967]
% 37.30/37.44  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 37.30/37.44                                                      strong_iteration(A)),
% 37.30/37.44                                       star(B)) addition C) -> true
% 37.30/37.44  Current number of equations to process: 1903
% 37.30/37.44  Current number of ordered equations: 1
% 37.30/37.44  Current number of rules: 876
% 37.30/37.44  New rule produced :
% 37.30/37.44  [968]
% 37.30/37.44  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 37.30/37.44                                                       multiplication(B,
% 37.30/37.44                                                       star(C))) -> true
% 37.30/37.44  Current number of equations to process: 1903
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 877
% 37.30/37.44  New rule produced :
% 37.30/37.44  [969]
% 37.30/37.44  leq(multiplication(A,zero) addition B,multiplication(A,C) addition multiplication(B,
% 37.30/37.44                                                                     star(V_3)))
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 1902
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 878
% 37.30/37.44  New rule produced :
% 37.30/37.44  [970]
% 37.30/37.44  leq(multiplication(A,star(A)) addition B,multiplication(star(A),star(C)) addition B)
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 1901
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 879
% 37.30/37.44  New rule produced :
% 37.30/37.44  [971]
% 37.30/37.44  leq(multiplication(star(A),A) addition B,multiplication(star(A),star(C)) addition B)
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 1900
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 880
% 37.30/37.44  New rule produced :
% 37.30/37.44  [972]
% 37.30/37.44  leq(multiplication(A,zero) addition B,multiplication(B,star(C)) addition A addition V_3)
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 1899
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 881
% 37.30/37.44  New rule produced :
% 37.30/37.44  [973]
% 37.30/37.44  leq(one addition A,multiplication(star(B),star(C)) addition multiplication(A,
% 37.30/37.44                                                              star(V_3))) ->
% 37.30/37.44  true
% 37.30/37.44  Current number of equations to process: 1898
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 882
% 37.30/37.44  New rule produced :
% 37.30/37.44  [974]
% 37.30/37.44  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 37.30/37.44                     multiplication(A,star(V_3))) -> true
% 37.30/37.44  Current number of equations to process: 1897
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 883
% 37.30/37.44  New rule produced :
% 37.30/37.44  [975]
% 37.30/37.44  leq(multiplication(A,B),multiplication(A,multiplication(B,strong_iteration(C))))
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 2008
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 884
% 37.30/37.44  New rule produced : [976] leq(A,strong_iteration(A)) -> true
% 37.30/37.44  Current number of equations to process: 2019
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 885
% 37.30/37.44  New rule produced : [977] leq(A,strong_iteration(A) addition B) -> true
% 37.30/37.44  Current number of equations to process: 2018
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 886
% 37.30/37.44  New rule produced :
% 37.30/37.44  [978]
% 37.30/37.44  leq(A,multiplication(multiplication(A,strong_iteration(B)),star(C))) -> true
% 37.30/37.44  Current number of equations to process: 2018
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 887
% 37.30/37.44  New rule produced :
% 37.30/37.44  [979]
% 37.30/37.44  leq(A,multiplication(strong_iteration(B),multiplication(A,strong_iteration(C))))
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 2017
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 888
% 37.30/37.44  New rule produced :
% 37.30/37.44  [980]
% 37.30/37.44  leq(A,multiplication(multiplication(A,strong_iteration(B)),star(C)) addition V_3)
% 37.30/37.44  -> true
% 37.30/37.44  Current number of equations to process: 2016
% 37.30/37.44  Current number of ordered equations: 0
% 37.30/37.44  Current number of rules: 889
% 37.30/37.44  New rule produced :
% 38.93/39.14  [981]
% 38.93/39.14  leq(A,multiplication(strong_iteration(B),multiplication(A,strong_iteration(C))) addition V_3)
% 38.93/39.14  -> true
% 38.93/39.14  Current number of equations to process: 2015
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 890
% 38.93/39.14  New rule produced :
% 38.93/39.14  [982]
% 38.93/39.14  leq(strong_iteration(A),multiplication(strong_iteration(strong_iteration(A)),B))
% 38.93/39.14  -> true
% 38.93/39.14  Current number of equations to process: 2015
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 891
% 38.93/39.14  New rule produced :
% 38.93/39.14  [983]
% 38.93/39.14  leq(A,multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C)))
% 38.93/39.14  -> true
% 38.93/39.14  Current number of equations to process: 2022
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 892
% 38.93/39.14  New rule produced :
% 38.93/39.14  [984]
% 38.93/39.14  leq(A,multiplication(star(B),multiplication(A,strong_iteration(C)))) -> true
% 38.93/39.14  Current number of equations to process: 2021
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 893
% 38.93/39.14  New rule produced :
% 38.93/39.14  [985]
% 38.93/39.14  leq(A,multiplication(multiplication(A,strong_iteration(B)),strong_iteration(C)) addition V_3)
% 38.93/39.14  -> true
% 38.93/39.14  Current number of equations to process: 2020
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 894
% 38.93/39.14  New rule produced :
% 38.93/39.14  [986]
% 38.93/39.14  leq(A,multiplication(star(B),multiplication(A,strong_iteration(C))) addition V_3)
% 38.93/39.14  -> true
% 38.93/39.14  Current number of equations to process: 2019
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 895
% 38.93/39.14  New rule produced :
% 38.93/39.14  [987] leq(multiplication(A,B),multiplication(A,strong_iteration(B))) -> true
% 38.93/39.14  Current number of equations to process: 2020
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 896
% 38.93/39.14  New rule produced :
% 38.93/39.14  [988]
% 38.93/39.14  leq(multiplication(A,B),multiplication(A,strong_iteration(B)) addition C) ->
% 38.93/39.14  true
% 38.93/39.14  Current number of equations to process: 2019
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 897
% 38.93/39.14  New rule produced :
% 38.93/39.14  [989]
% 38.93/39.14  leq(multiplication(A,B),multiplication(A,multiplication(B,strong_iteration(C))) addition V_3)
% 38.93/39.14  -> true
% 38.93/39.14  Current number of equations to process: 2040
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 898
% 38.93/39.14  New rule produced :
% 38.93/39.14  [990]
% 38.93/39.14  multiplication(A,multiplication(star(B),strong_iteration(C))) addition A ->
% 38.93/39.14  multiplication(A,multiplication(star(B),strong_iteration(C)))
% 38.93/39.14  Current number of equations to process: 2039
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 899
% 38.93/39.14  New rule produced :
% 38.93/39.14  [991]
% 38.93/39.14  multiplication(multiplication(star(A),strong_iteration(B)),C) addition C ->
% 38.93/39.14  multiplication(multiplication(star(A),strong_iteration(B)),C)
% 38.93/39.14  Current number of equations to process: 2038
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 900
% 38.93/39.14  New rule produced :
% 38.93/39.14  [992] leq(strong_iteration(A),strong_iteration(star(B))) -> true
% 38.93/39.14  Current number of equations to process: 2052
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 901
% 38.93/39.14  New rule produced :
% 38.93/39.14  [993]
% 38.93/39.14  leq(one addition multiplication(star(A),zero),multiplication(star(A),
% 38.93/39.14                                                strong_iteration(B))) -> true
% 38.93/39.14  Current number of equations to process: 2099
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 902
% 38.93/39.14  New rule produced :
% 38.93/39.14  [994]
% 38.93/39.14  multiplication(A,multiplication(strong_iteration(B),strong_iteration(C))) addition A
% 38.93/39.14  -> multiplication(A,multiplication(strong_iteration(B),strong_iteration(C)))
% 38.93/39.14  Current number of equations to process: 2098
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 903
% 38.93/39.14  New rule produced :
% 38.93/39.14  [995]
% 38.93/39.14  multiplication(multiplication(strong_iteration(A),strong_iteration(B)),C) addition C
% 38.93/39.14  -> multiplication(multiplication(strong_iteration(A),strong_iteration(B)),C)
% 38.93/39.14  Current number of equations to process: 2097
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 904
% 38.93/39.14  New rule produced :
% 38.93/39.14  [996] leq(strong_iteration(A),strong_iteration(strong_iteration(B))) -> true
% 38.93/39.14  Current number of equations to process: 2111
% 38.93/39.14  Current number of ordered equations: 0
% 38.93/39.14  Current number of rules: 905
% 38.93/39.14  New rule produced :
% 38.93/39.14  [997]
% 38.93/39.14  multiplication(A,multiplication(star(A),zero)) ->
% 38.93/39.14  multiplication(star(A),zero)
% 38.93/39.14  Rule
% 38.93/39.14  [508]
% 38.93/39.14  ifeq(leq(multiplication(A,multiplication(star(A),zero)),multiplication(
% 38.93/39.14                                                          star(A),zero)),true,true,true)
% 41.50/41.73  -> true collapsed.
% 41.50/41.73  Current number of equations to process: 2138
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 905
% 41.50/41.73  New rule produced :
% 41.50/41.73  [998]
% 41.50/41.73  multiplication(multiplication(A,B),multiplication(star(B),zero)) ->
% 41.50/41.73  multiplication(A,multiplication(star(B),zero))
% 41.50/41.73  Rule
% 41.50/41.73  [790]
% 41.50/41.73  multiplication(multiplication(star(A),A),multiplication(star(A),zero)) ->
% 41.50/41.73  multiplication(star(A),multiplication(star(A),zero)) collapsed.
% 41.50/41.73  Current number of equations to process: 2139
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 905
% 41.50/41.73  New rule produced :
% 41.50/41.73  [999]
% 41.50/41.73  multiplication(star(A),zero) addition multiplication(A,star(A)) ->
% 41.50/41.73  multiplication(A,star(A))
% 41.50/41.73  Rule
% 41.50/41.73  [757]
% 41.50/41.73  leq(multiplication(star(A),zero) addition multiplication(A,star(A)),star(A))
% 41.50/41.73  -> true collapsed.
% 41.50/41.73  Current number of equations to process: 2218
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 905
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1000]
% 41.50/41.73  leq(multiplication(star(A),zero),multiplication(multiplication(A,star(A)),B))
% 41.50/41.73  -> true
% 41.50/41.73  Current number of equations to process: 2217
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 906
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1001]
% 41.50/41.73  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 41.50/41.73                                                            strong_iteration(A),
% 41.50/41.73                                                            strong_iteration(B)))
% 41.50/41.73  -> true
% 41.50/41.73  Current number of equations to process: 2216
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 907
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1002]
% 41.50/41.73  star(multiplication(A,star(A))) addition multiplication(star(A),zero) ->
% 41.50/41.73  star(multiplication(A,star(A)))
% 41.50/41.73  Current number of equations to process: 2215
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 908
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1003]
% 41.50/41.73  strong_iteration(multiplication(A,star(A))) addition multiplication(star(A),zero)
% 41.50/41.73  -> strong_iteration(multiplication(A,star(A)))
% 41.50/41.73  Current number of equations to process: 2214
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 909
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1004]
% 41.50/41.73  multiplication(star(A),B) addition multiplication(A,multiplication(star(A),B))
% 41.50/41.73  -> multiplication(star(A),B)
% 41.50/41.73  Current number of equations to process: 2212
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 910
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1005]
% 41.50/41.73  leq(multiplication(star(A),B),multiplication(strong_iteration(A),B)) -> true
% 41.50/41.73  Current number of equations to process: 2212
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 911
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1006]
% 41.50/41.73  leq(multiplication(A,multiplication(star(A),B)),multiplication(star(A),B)) ->
% 41.50/41.73  true
% 41.50/41.73  Current number of equations to process: 2284
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 912
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1007] leq(multiplication(A,zero),multiplication(star(A),B)) -> true
% 41.50/41.73  Current number of equations to process: 2400
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 913
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1008]
% 41.50/41.73  leq(multiplication(A,zero),multiplication(star(A),B) addition C) -> true
% 41.50/41.73  Current number of equations to process: 2405
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 914
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1009]
% 41.50/41.73  leq(multiplication(A,zero) addition B,multiplication(star(A),B)) -> true
% 41.50/41.73  Current number of equations to process: 2418
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 915
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1010]
% 41.50/41.73  star(A) addition multiplication(star(strong_iteration(A)),B) ->
% 41.50/41.73  strong_iteration(A) addition multiplication(star(strong_iteration(A)),B)
% 41.50/41.73  Current number of equations to process: 2463
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 916
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1011]
% 41.50/41.73  multiplication(star(multiplication(A,B)),C) addition multiplication(A,zero)
% 41.50/41.73  -> multiplication(star(multiplication(A,B)),C)
% 41.50/41.73  Current number of equations to process: 2462
% 41.50/41.73  Current number of ordered equations: 0
% 41.50/41.73  Current number of rules: 917
% 41.50/41.73  New rule produced :
% 41.50/41.73  [1012]
% 41.50/41.73  strong_iteration(A) addition star(multiplication(A,strong_iteration(A))) ->
% 41.50/41.73  star(multiplication(A,strong_iteration(A)))
% 41.50/41.73  Current number of equations to process: 2477
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 918
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1013]
% 43.18/43.34  multiplication(star(multiplication(A,strong_iteration(A))),star(A)) ->
% 43.18/43.34  star(multiplication(A,strong_iteration(A)))
% 43.18/43.34  Current number of equations to process: 2478
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 919
% 43.18/43.34  New rule produced : [1014] leq(one addition A,strong_iteration(A)) -> true
% 43.18/43.34  Current number of equations to process: 2535
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 920
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1015] leq(one addition A addition B,strong_iteration(A) addition B) -> true
% 43.18/43.34  Current number of equations to process: 2535
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 921
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1016]
% 43.18/43.34  leq(strong_iteration(A) addition strong_iteration(B),multiplication(strong_iteration(B),
% 43.18/43.34                                                       strong_iteration(A))) ->
% 43.18/43.34  true
% 43.18/43.34  Current number of equations to process: 2534
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 922
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1017]
% 43.18/43.34  leq(star(A),one addition multiplication(multiplication(A,star(A)),strong_iteration(B)))
% 43.18/43.34  -> true
% 43.18/43.34  Current number of equations to process: 2533
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 923
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1018]
% 43.18/43.34  leq(star(A),one addition multiplication(multiplication(star(A),A),strong_iteration(B)))
% 43.18/43.34  -> true
% 43.18/43.34  Current number of equations to process: 2532
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 924
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1019]
% 43.18/43.34  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 43.18/43.34                                                      strong_iteration(A)),
% 43.18/43.34                                       strong_iteration(B))) -> true
% 43.18/43.34  Current number of equations to process: 2531
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 925
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1020]
% 43.18/43.34  leq(strong_iteration(A) addition star(B),multiplication(star(B),strong_iteration(A)))
% 43.18/43.34  -> true
% 43.18/43.34  Current number of equations to process: 2565
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 926
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1021] leq(star(A) addition B,strong_iteration(B) addition star(A)) -> true
% 43.18/43.34  Current number of equations to process: 2575
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 927
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1022]
% 43.18/43.34  leq(strong_iteration(A) addition B,strong_iteration(A) addition strong_iteration(B))
% 43.18/43.34  -> true
% 43.18/43.34  Current number of equations to process: 2574
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 928
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1023]
% 43.18/43.34  leq(multiplication(A,B) addition A,multiplication(A,strong_iteration(B))) ->
% 43.18/43.34  true
% 43.18/43.34  Current number of equations to process: 2589
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 929
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1024]
% 43.18/43.34  leq(star(multiplication(A,star(A))),multiplication(strong_iteration(star(A)),B))
% 43.18/43.34  -> true
% 43.18/43.34  Current number of equations to process: 2600
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 930
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1025]
% 43.18/43.34  leq(multiplication(star(star(A)),zero),star(multiplication(A,star(A)))) ->
% 43.18/43.34  true
% 43.18/43.34  Current number of equations to process: 2617
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 931
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1026]
% 43.18/43.34  leq(multiplication(star(A),zero),star(multiplication(A,star(A)))) -> true
% 43.18/43.34  Current number of equations to process: 2621
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 932
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1027] leq(star(A),star(multiplication(A,star(A)))) -> true
% 43.18/43.34  Current number of equations to process: 2624
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 933
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1028] leq(star(A),star(multiplication(A,star(A))) addition B) -> true
% 43.18/43.34  Current number of equations to process: 2625
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 934
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1029]
% 43.18/43.34  ifeq(leq(star(multiplication(A,star(A))),star(A)),true,true,true) -> true
% 43.18/43.34  Current number of equations to process: 2632
% 43.18/43.34  Current number of ordered equations: 0
% 43.18/43.34  Current number of rules: 935
% 43.18/43.34  New rule produced :
% 43.18/43.34  [1030]
% 43.18/43.34  leq(multiplication(star(A),zero),star(multiplication(A,star(A))) addition B)
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2631
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 936
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1031]
% 43.52/43.66  leq(star(A) addition B,star(multiplication(A,star(A))) addition B) -> true
% 43.52/43.66  Current number of equations to process: 2630
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 937
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1032]
% 43.52/43.66  leq(strong_iteration(multiplication(A,star(A))),multiplication(strong_iteration(
% 43.52/43.66                                                                 star(A)),B))
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2630
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 938
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1033]
% 43.52/43.66  leq(multiplication(star(star(A)),zero),strong_iteration(multiplication(A,
% 43.52/43.66                                                          star(A)))) -> true
% 43.52/43.66  Current number of equations to process: 2644
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 939
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1034]
% 43.52/43.66  strong_iteration(multiplication(A,star(A))) addition star(A) ->
% 43.52/43.66  strong_iteration(multiplication(A,star(A)))
% 43.52/43.66  Current number of equations to process: 2647
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 940
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1035]
% 43.52/43.66  leq(multiplication(star(A),zero),strong_iteration(multiplication(A,star(A))))
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2648
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 941
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1036] leq(star(A),strong_iteration(multiplication(A,star(A)))) -> true
% 43.52/43.66  Current number of equations to process: 2654
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 942
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1037]
% 43.52/43.66  leq(star(A),strong_iteration(multiplication(A,star(A))) addition B) -> true
% 43.52/43.66  Current number of equations to process: 2655
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 943
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1038]
% 43.52/43.66  ifeq(leq(strong_iteration(multiplication(A,star(A))),star(A)),true,true,true)
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2658
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 944
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1039]
% 43.52/43.66  leq(multiplication(star(A),zero),strong_iteration(multiplication(A,star(A))) addition B)
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2657
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 945
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1040]
% 43.52/43.66  leq(star(A) addition B,strong_iteration(multiplication(A,star(A))) addition B)
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2656
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 946
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1041]
% 43.52/43.66  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 43.52/43.66                                                                  strong_iteration(C)))
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2655
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 947
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1042]
% 43.52/43.66  ifeq(leq(multiplication(star(A),zero),multiplication(A,star(A))),true,true,true)
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2654
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 948
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1043]
% 43.52/43.66  leq(multiplication(star(A),zero),multiplication(multiplication(A,star(A)),B) addition C)
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2653
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 949
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1044]
% 43.52/43.66  multiplication(strong_iteration(A),multiplication(star(multiplication(A,
% 43.52/43.66                                                         strong_iteration(A))),B))
% 43.52/43.66  -> multiplication(star(multiplication(A,strong_iteration(A))),B)
% 43.52/43.66  Current number of equations to process: 2652
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 950
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1045]
% 43.52/43.66  leq(multiplication(A,multiplication(star(A),B)),multiplication(star(A),B) addition C)
% 43.52/43.66  -> true
% 43.52/43.66  Current number of equations to process: 2651
% 43.52/43.66  Current number of ordered equations: 0
% 43.52/43.66  Current number of rules: 951
% 43.52/43.66  New rule produced :
% 43.52/43.66  [1046]
% 43.52/43.66  multiplication(star(A),multiplication(star(multiplication(A,star(A))),B)) ->
% 43.52/43.66  multiplication(star(multiplication(A,star(A))),B)
% 43.52/43.66  Current number of equations to process: 2650
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 952
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1047]
% 44.57/44.71  multiplication(star(A),multiplication(star(multiplication(star(A),A)),B)) ->
% 44.57/44.71  multiplication(star(multiplication(star(A),A)),B)
% 44.57/44.71  Current number of equations to process: 2649
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 953
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1048]
% 44.57/44.71  multiplication(star(multiplication(A,strong_iteration(A))),multiplication(
% 44.57/44.71                                                             strong_iteration(A),B))
% 44.57/44.71  -> multiplication(star(multiplication(A,strong_iteration(A))),B)
% 44.57/44.71  Current number of equations to process: 2648
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 954
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1049]
% 44.57/44.71  leq(multiplication(multiplication(A,strong_iteration(B)),zero) addition A,
% 44.57/44.71  multiplication(A,strong_iteration(B))) -> true
% 44.57/44.71  Current number of equations to process: 2644
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 955
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1050]
% 44.57/44.71  multiplication(star(A),star(star(multiplication(A,star(A))))) ->
% 44.57/44.71  star(star(multiplication(A,star(A)))) addition star(A)
% 44.57/44.71  Current number of equations to process: 2643
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 956
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1051]
% 44.57/44.71  multiplication(multiplication(A,star(B)),star(multiplication(B,star(B)))) ->
% 44.57/44.71  multiplication(A,star(multiplication(B,star(B))))
% 44.57/44.71  Current number of equations to process: 2641
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 957
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1052]
% 44.57/44.71  multiplication(star(A),strong_iteration(star(multiplication(A,star(A))))) ->
% 44.57/44.71  strong_iteration(star(multiplication(A,star(A)))) addition star(A)
% 44.57/44.71  Current number of equations to process: 2640
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 958
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1053]
% 44.57/44.71  multiplication(star(A),star(strong_iteration(multiplication(A,star(A))))) ->
% 44.57/44.71  star(strong_iteration(multiplication(A,star(A)))) addition star(A)
% 44.57/44.71  Current number of equations to process: 2639
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 959
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1054]
% 44.57/44.71  multiplication(star(A),multiplication(strong_iteration(multiplication(A,
% 44.57/44.71                                                         star(A))),B)) ->
% 44.57/44.71  multiplication(strong_iteration(multiplication(A,star(A))),B)
% 44.57/44.71  Current number of equations to process: 2638
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 960
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1055]
% 44.57/44.71  multiplication(multiplication(A,star(B)),strong_iteration(multiplication(B,
% 44.57/44.71                                                            star(B)))) ->
% 44.57/44.71  multiplication(A,strong_iteration(multiplication(B,star(B))))
% 44.57/44.71  Current number of equations to process: 2637
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 961
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1056]
% 44.57/44.71  multiplication(star(A),strong_iteration(strong_iteration(multiplication(A,
% 44.57/44.71                                                           star(A))))) ->
% 44.57/44.71  strong_iteration(strong_iteration(multiplication(A,star(A)))) addition 
% 44.57/44.71  star(A)
% 44.57/44.71  Current number of equations to process: 2634
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 962
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1057] leq(A addition B,strong_iteration(A) addition B) -> true
% 44.57/44.71  Rule
% 44.57/44.71  [1021] leq(star(A) addition B,strong_iteration(B) addition star(A)) -> true
% 44.57/44.71  collapsed.
% 44.57/44.71  Rule
% 44.57/44.71  [1022]
% 44.57/44.71  leq(strong_iteration(A) addition B,strong_iteration(A) addition strong_iteration(B))
% 44.57/44.71  -> true collapsed.
% 44.57/44.71  Current number of equations to process: 2756
% 44.57/44.71  Current number of ordered equations: 1
% 44.57/44.71  Current number of rules: 961
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1058] leq(one addition A,strong_iteration(A) addition B) -> true
% 44.57/44.71  Current number of equations to process: 2756
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 962
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1059] leq(A addition B,strong_iteration(A) addition B addition C) -> true
% 44.57/44.71  Current number of equations to process: 2755
% 44.57/44.71  Current number of ordered equations: 0
% 44.57/44.71  Current number of rules: 963
% 44.57/44.71  New rule produced :
% 44.57/44.71  [1060]
% 44.57/44.71  leq(one addition A addition B,strong_iteration(A) addition B addition C) ->
% 44.57/44.71  true
% 44.57/44.71  Current number of equations to process: 2755
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 964
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1061]
% 44.76/44.94  leq(A addition B,multiplication(multiplication(A,strong_iteration(C)),
% 44.76/44.94                   star(V_3)) addition B) -> true
% 44.76/44.94  Current number of equations to process: 2754
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 965
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1062]
% 44.76/44.94  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(A,
% 44.76/44.94                                                                  strong_iteration(V_3)))
% 44.76/44.94  -> true
% 44.76/44.94  Current number of equations to process: 2751
% 44.76/44.94  Current number of ordered equations: 2
% 44.76/44.94  Current number of rules: 966
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1063]
% 44.76/44.94  leq(A addition B,multiplication(strong_iteration(C),multiplication(A,
% 44.76/44.94                                                      strong_iteration(V_3))) addition B)
% 44.76/44.94  -> true
% 44.76/44.94  Current number of equations to process: 2751
% 44.76/44.94  Current number of ordered equations: 1
% 44.76/44.94  Current number of rules: 967
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1064]
% 44.76/44.94  leq(strong_iteration(A) addition strong_iteration(B),multiplication(strong_iteration(B),
% 44.76/44.94                                                       strong_iteration(A)) addition C)
% 44.76/44.94  -> true
% 44.76/44.94  Current number of equations to process: 2751
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 968
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1065]
% 44.76/44.94  one addition multiplication(multiplication(star(A),strong_iteration(B)),
% 44.76/44.94               star(C)) ->
% 44.76/44.94  multiplication(multiplication(star(A),strong_iteration(B)),star(C))
% 44.76/44.94  Current number of equations to process: 2750
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 969
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1066]
% 44.76/44.94  one addition multiplication(strong_iteration(A),multiplication(star(B),
% 44.76/44.94                                                  strong_iteration(C))) ->
% 44.76/44.94  multiplication(strong_iteration(A),multiplication(star(B),strong_iteration(C)))
% 44.76/44.94  Current number of equations to process: 2749
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 970
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1067]
% 44.76/44.94  one addition multiplication(multiplication(star(A),strong_iteration(B)),
% 44.76/44.94               strong_iteration(C)) ->
% 44.76/44.94  multiplication(multiplication(star(A),strong_iteration(B)),strong_iteration(C))
% 44.76/44.94  Current number of equations to process: 2747
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 971
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1068]
% 44.76/44.94  one addition multiplication(star(A),multiplication(star(B),strong_iteration(C)))
% 44.76/44.94  -> multiplication(star(A),multiplication(star(B),strong_iteration(C)))
% 44.76/44.94  Current number of equations to process: 2746
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 972
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1069]
% 44.76/44.94  one addition multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.76/44.94               star(C)) ->
% 44.76/44.94  multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.76/44.94  star(C))
% 44.76/44.94  Current number of equations to process: 2739
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 973
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1070]
% 44.76/44.94  one addition multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 44.76/44.94                                                  strong_iteration(C))) ->
% 44.76/44.94  multiplication(strong_iteration(A),multiplication(strong_iteration(B),
% 44.76/44.94                                     strong_iteration(C)))
% 44.76/44.94  Current number of equations to process: 2738
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 974
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1071]
% 44.76/44.94  one addition multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.76/44.94               strong_iteration(C)) ->
% 44.76/44.94  multiplication(multiplication(strong_iteration(A),strong_iteration(B)),
% 44.76/44.94  strong_iteration(C))
% 44.76/44.94  Current number of equations to process: 2736
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 975
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1072]
% 44.76/44.94  one addition multiplication(star(A),multiplication(strong_iteration(B),
% 44.76/44.94                                      strong_iteration(C))) ->
% 44.76/44.94  multiplication(star(A),multiplication(strong_iteration(B),strong_iteration(C)))
% 44.76/44.94  Current number of equations to process: 2735
% 44.76/44.94  Current number of ordered equations: 0
% 44.76/44.94  Current number of rules: 976
% 44.76/44.94  New rule produced :
% 44.76/44.94  [1073]
% 44.76/44.94  multiplication(star(A),zero) addition multiplication(multiplication(A,
% 47.42/47.55                                                       star(A)),B) ->
% 47.42/47.55  multiplication(multiplication(A,star(A)),B)
% 47.42/47.55  Current number of equations to process: 2728
% 47.42/47.55  Current number of ordered equations: 0
% 47.42/47.55  Current number of rules: 977
% 47.42/47.55  New rule produced :
% 47.42/47.55  [1074]
% 47.42/47.55  multiplication(multiplication(A,multiplication(B,C)),multiplication(star(C),zero))
% 47.42/47.55  -> multiplication(multiplication(A,B),multiplication(star(C),zero))
% 47.42/47.55  Current number of equations to process: 2727
% 47.42/47.55  Current number of ordered equations: 0
% 47.42/47.55  Current number of rules: 978
% 47.42/47.55  New rule produced :
% 47.42/47.55  [1075]
% 47.42/47.55  strong_iteration(A) addition multiplication(B,multiplication(star(B),star(A)))
% 47.42/47.55  -> strong_iteration(A) addition multiplication(star(B),star(A))
% 47.42/47.55  Current number of equations to process: 2724
% 47.42/47.55  Current number of ordered equations: 0
% 47.42/47.55  Current number of rules: 979
% 47.42/47.55  New rule produced :
% 47.42/47.55  [1076]
% 47.42/47.55  multiplication(A,multiplication(star(A),multiplication(B,zero))) addition B
% 47.42/47.55  -> multiplication(star(A),multiplication(B,zero)) addition B
% 47.42/47.55  Current number of equations to process: 2723
% 47.42/47.55  Current number of ordered equations: 0
% 47.42/47.55  Current number of rules: 980
% 47.42/47.55  New rule produced :
% 47.42/47.55  [1077]
% 47.42/47.55  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 47.42/47.55                                                                  strong_iteration(V_3)))
% 47.42/47.55  -> true
% 47.42/47.55  Rule
% 47.42/47.55  [1041]
% 47.42/47.55  leq(A addition B,multiplication(A,strong_iteration(C)) addition multiplication(B,
% 47.42/47.55                                                                  strong_iteration(C)))
% 47.42/47.55  -> true collapsed.
% 47.42/47.55  Current number of equations to process: 2819
% 47.42/47.55  Current number of ordered equations: 1
% 47.42/47.55  Current number of rules: 980
% 47.42/47.55  New rule produced :
% 47.42/47.55  [1078]
% 47.42/47.55  leq(A addition B,multiplication(multiplication(A,strong_iteration(C)),
% 47.42/47.55                   strong_iteration(V_3)) addition B) -> true
% 47.42/47.55  Current number of equations to process: 2819
% 47.42/47.55  Current number of ordered equations: 0
% 47.42/47.55  Current number of rules: 981
% 47.42/47.55  New rule produced :
% 47.42/47.55  [1079]
% 47.42/47.55  leq(A addition B,multiplication(star(C),B) addition multiplication(A,
% 47.42/47.55                                                      strong_iteration(V_3)))
% 47.42/47.56  -> true
% 47.42/47.56  Current number of equations to process: 2816
% 47.42/47.56  Current number of ordered equations: 2
% 47.42/47.56  Current number of rules: 982
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1080]
% 47.42/47.56  leq(A addition B,multiplication(star(C),multiplication(A,strong_iteration(V_3))) addition B)
% 47.42/47.56  -> true
% 47.42/47.56  Current number of equations to process: 2816
% 47.42/47.56  Current number of ordered equations: 1
% 47.42/47.56  Current number of rules: 983
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1081]
% 47.42/47.56  leq(strong_iteration(A) addition star(B),multiplication(star(B),strong_iteration(A)) addition C)
% 47.42/47.56  -> true
% 47.42/47.56  Current number of equations to process: 2816
% 47.42/47.56  Current number of ordered equations: 0
% 47.42/47.56  Current number of rules: 984
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1082]
% 47.42/47.56  leq(multiplication(A,zero) addition B,multiplication(B,strong_iteration(C)) addition A)
% 47.42/47.56  -> true
% 47.42/47.56  Current number of equations to process: 2873
% 47.42/47.56  Current number of ordered equations: 0
% 47.42/47.56  Current number of rules: 985
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1083]
% 47.42/47.56  leq(multiplication(A,B) addition C,multiplication(A,strong_iteration(B)) addition C)
% 47.42/47.56  -> true
% 47.42/47.56  Current number of equations to process: 2915
% 47.42/47.56  Current number of ordered equations: 1
% 47.42/47.56  Current number of rules: 986
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1084]
% 47.42/47.56  leq(multiplication(A,B) addition A,multiplication(A,strong_iteration(B)) addition C)
% 47.42/47.56  -> true
% 47.42/47.56  Current number of equations to process: 2915
% 47.42/47.56  Current number of ordered equations: 0
% 47.42/47.56  Current number of rules: 987
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1085]
% 47.42/47.56  star(A) addition multiplication(multiplication(A,star(A)),A) -> star(A)
% 47.42/47.56  Current number of equations to process: 2949
% 47.42/47.56  Current number of ordered equations: 0
% 47.42/47.56  Current number of rules: 988
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1086]
% 47.42/47.56  leq(multiplication(A,zero) addition B,star(A) addition multiplication(B,
% 47.42/47.56                                                         strong_iteration(C)))
% 47.42/47.56  -> true
% 47.42/47.56  Current number of equations to process: 2975
% 47.42/47.56  Current number of ordered equations: 0
% 47.42/47.56  Current number of rules: 989
% 47.42/47.56  New rule produced :
% 47.42/47.56  [1087]
% 47.42/47.56  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(B,
% 47.42/47.56                                                                     strong_iteration(C)))
% 47.63/47.79  -> true
% 47.63/47.79  Current number of equations to process: 2974
% 47.63/47.79  Current number of ordered equations: 0
% 47.63/47.79  Current number of rules: 990
% 47.63/47.79  New rule produced :
% 47.63/47.79  [1088]
% 47.63/47.79  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),
% 47.63/47.79                                            multiplication(C,strong_iteration(V_3))))
% 47.63/47.79  -> true
% 47.63/47.79  Current number of equations to process: 2973
% 47.63/47.79  Current number of ordered equations: 0
% 47.63/47.79  Current number of rules: 991
% 47.63/47.79  New rule produced :
% 47.63/47.79  [1089]
% 47.63/47.79  leq(multiplication(A,multiplication(B,C)),multiplication(A,multiplication(B,
% 47.63/47.79                                                             multiplication(C,
% 47.63/47.79                                                             strong_iteration(V_3)))))
% 47.63/47.79  -> true
% 47.63/47.79  Current number of equations to process: 2972
% 47.63/47.79  Current number of ordered equations: 0
% 47.63/47.79  Current number of rules: 992
% 47.63/47.79  New rule produced :
% 47.63/47.79  [1090]
% 47.63/47.79  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(
% 47.63/47.79                                                             multiplication(B,C),
% 47.63/47.79                                                             strong_iteration(V_3))))
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2971
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 993
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1091]
% 47.63/47.80  leq(multiplication(multiplication(A,B),C),multiplication(A,multiplication(B,
% 47.63/47.80                                                             multiplication(C,
% 47.63/47.80                                                             strong_iteration(V_3)))))
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2970
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 994
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1092]
% 47.63/47.80  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition 
% 47.63/47.80                     multiplication(A,star(V_3))) -> true
% 47.63/47.80  Current number of equations to process: 2969
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 995
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1093]
% 47.63/47.80  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 47.63/47.80                     multiplication(A,star(V_3))) -> true
% 47.63/47.80  Current number of equations to process: 2968
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 996
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1094]
% 47.63/47.80  leq(multiplication(A,zero) addition B addition C,multiplication(star(A),B) addition C)
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2967
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 997
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1095]
% 47.63/47.80  leq(multiplication(A,B) addition C,multiplication(A,multiplication(B,
% 47.63/47.80                                                      strong_iteration(V_3))) addition C)
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2966
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 998
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1096]
% 47.63/47.80  leq(multiplication(A,B) addition A addition C,multiplication(A,strong_iteration(B)) addition C)
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2963
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 999
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1097]
% 47.63/47.80  ifeq(leq(star(A),zero),true,leq(star(multiplication(A,star(A))),zero),true)
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2962
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 1000
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1098]
% 47.63/47.80  leq(multiplication(star(A),zero) addition B,star(multiplication(A,star(A))) addition B)
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2961
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 1001
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1099]
% 47.63/47.80  leq(star(A) addition B,star(multiplication(A,star(A))) addition B addition C)
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2960
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 1002
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1100]
% 47.63/47.80  leq(multiplication(star(A),zero) addition B,strong_iteration(multiplication(A,
% 47.63/47.80                                                               star(A))) addition B)
% 47.63/47.80  -> true
% 47.63/47.80  Current number of equations to process: 2959
% 47.63/47.80  Current number of ordered equations: 0
% 47.63/47.80  Current number of rules: 1003
% 47.63/47.80  New rule produced :
% 47.63/47.80  [1101]
% 47.63/47.80  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(strong_iteration(A),
% 47.63/47.80                                                       strong_iteration(C)) addition B)
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2958
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1004
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1102]
% 47.88/48.05  leq(star(A),one addition multiplication(multiplication(A,star(A)),strong_iteration(B)) addition C)
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2956
% 47.88/48.05  Current number of ordered equations: 1
% 47.88/48.05  Current number of rules: 1005
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1103]
% 47.88/48.05  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(B,
% 47.88/48.05                                                            strong_iteration(C)))
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2956
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1006
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1104]
% 47.88/48.05  leq(star(A),one addition multiplication(multiplication(star(A),A),strong_iteration(B)) addition C)
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2954
% 47.88/48.05  Current number of ordered equations: 1
% 47.88/48.05  Current number of rules: 1007
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1105]
% 47.88/48.05  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(B,
% 47.88/48.05                                                            strong_iteration(C)))
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2954
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1008
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1106]
% 47.88/48.05  leq(strong_iteration(A),one addition multiplication(multiplication(A,
% 47.88/48.05                                                      strong_iteration(A)),
% 47.88/48.05                                       strong_iteration(B)) addition C) -> true
% 47.88/48.05  Current number of equations to process: 2952
% 47.88/48.05  Current number of ordered equations: 1
% 47.88/48.05  Current number of rules: 1009
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1107]
% 47.88/48.05  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 47.88/48.05                                                       multiplication(B,
% 47.88/48.05                                                       strong_iteration(C))) ->
% 47.88/48.05  true
% 47.88/48.05  Current number of equations to process: 2952
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1010
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1108]
% 47.88/48.05  leq(multiplication(A,zero) addition B,multiplication(A,C) addition multiplication(B,
% 47.88/48.05                                                                     strong_iteration(V_3)))
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2951
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1011
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1109]
% 47.88/48.05  leq(multiplication(A,star(A)) addition B,multiplication(star(A),strong_iteration(C)) addition B)
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2950
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1012
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1110]
% 47.88/48.05  leq(multiplication(star(A),A) addition B,multiplication(star(A),strong_iteration(C)) addition B)
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2949
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1013
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1111]
% 47.88/48.05  leq(multiplication(A,zero) addition B,multiplication(B,strong_iteration(C)) addition A addition V_3)
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2948
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1014
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1112]
% 47.88/48.05  leq(one addition A,multiplication(star(B),star(C)) addition multiplication(A,
% 47.88/48.05                                                              strong_iteration(V_3)))
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2947
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1015
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1113]
% 47.88/48.05  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 47.88/48.05                     multiplication(A,strong_iteration(V_3))) -> true
% 47.88/48.05  Current number of equations to process: 2946
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1016
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1114]
% 47.88/48.05  leq(multiplication(A,B) addition C,multiplication(A,strong_iteration(B)) addition C addition V_3)
% 47.88/48.05  -> true
% 47.88/48.05  Current number of equations to process: 2945
% 47.88/48.05  Current number of ordered equations: 0
% 47.88/48.05  Current number of rules: 1017
% 47.88/48.05  New rule produced :
% 47.88/48.05  [1115]
% 47.88/48.05  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition 
% 47.88/48.05                     multiplication(A,strong_iteration(V_3))) -> true
% 49.70/49.83  Current number of equations to process: 2944
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1018
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1116]
% 49.70/49.83  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 49.70/49.83                     multiplication(A,strong_iteration(V_3))) -> true
% 49.70/49.83  Current number of equations to process: 2943
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1019
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1117]
% 49.70/49.83  leq(star(A) addition B,strong_iteration(multiplication(A,star(A))) addition B addition C)
% 49.70/49.83  -> true
% 49.70/49.83  Current number of equations to process: 2942
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1020
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1118]
% 49.70/49.83  leq(A,multiplication(strong_iteration(multiplication(B,star(B))),multiplication(
% 49.70/49.83                                                                   star(B),A)))
% 49.70/49.83  -> true
% 49.70/49.83  Current number of equations to process: 2941
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1021
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1119]
% 49.70/49.83  multiplication(star(A),A) addition multiplication(A,star(A)) ->
% 49.70/49.83  multiplication(star(A),A)
% 49.70/49.83  Rule
% 49.70/49.83  [678]
% 49.70/49.83  leq(multiplication(star(A),A) addition multiplication(A,star(A)),star(A)) ->
% 49.70/49.83  true collapsed.
% 49.70/49.83  Current number of equations to process: 3052
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1021
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1120]
% 49.70/49.83  multiplication(star(A),multiplication(star(star(A)),B)) ->
% 49.70/49.83  multiplication(star(star(A)),B)
% 49.70/49.83  Current number of equations to process: 3072
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1022
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1121]
% 49.70/49.83  leq(multiplication(A,B),multiplication(multiplication(star(C),A),B)) -> true
% 49.70/49.83  Current number of equations to process: 3086
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1023
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1122] leq(A,multiplication(strong_iteration(star(B)),zero)) -> true
% 49.70/49.83  Current number of equations to process: 3090
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1024
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1123] leq(star(A),star(multiplication(star(A),A))) -> true
% 49.70/49.83  Current number of equations to process: 3091
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1025
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1124]
% 49.70/49.83  leq(strong_iteration(A),star(multiplication(A,strong_iteration(A)))) -> true
% 49.70/49.83  Current number of equations to process: 3091
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1026
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1125] leq(A,multiplication(multiplication(star(B),A),star(C))) -> true
% 49.70/49.83  Current number of equations to process: 3096
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1027
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1126]
% 49.70/49.83  leq(A,multiplication(strong_iteration(B),multiplication(star(C),A))) -> true
% 49.70/49.83  Rule
% 49.70/49.83  [1118]
% 49.70/49.83  leq(A,multiplication(strong_iteration(multiplication(B,star(B))),multiplication(
% 49.70/49.83                                                                   star(B),A)))
% 49.70/49.83  -> true collapsed.
% 49.70/49.83  Current number of equations to process: 3095
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1027
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1127]
% 49.70/49.83  leq(A,multiplication(multiplication(star(B),A),star(C)) addition V_3) -> true
% 49.70/49.83  Current number of equations to process: 3094
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1028
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1128]
% 49.70/49.83  leq(A,multiplication(strong_iteration(B),multiplication(star(C),A)) addition V_3)
% 49.70/49.83  -> true
% 49.70/49.83  Current number of equations to process: 3093
% 49.70/49.83  Current number of ordered equations: 0
% 49.70/49.83  Current number of rules: 1029
% 49.70/49.83  New rule produced :
% 49.70/49.83  [1129] leq(A,multiplication(strong_iteration(star(B)),C)) -> true
% 49.70/49.83  Rule [534] leq(one,multiplication(strong_iteration(star(A)),B)) -> true
% 49.70/49.83  collapsed.
% 49.70/49.83  Rule [866] leq(star(A),multiplication(strong_iteration(star(A)),B)) -> true
% 49.70/49.83  collapsed.
% 49.70/49.83  Rule [875] leq(A,multiplication(strong_iteration(star(A)),star(A))) -> true
% 49.70/49.83  collapsed.
% 49.70/49.83  Rule
% 49.70/49.83  [1024]
% 49.70/49.83  leq(star(multiplication(A,star(A))),multiplication(strong_iteration(star(A)),B))
% 49.70/49.83  -> true collapsed.
% 49.70/49.83  Rule
% 49.70/49.83  [1032]
% 49.70/49.83  leq(strong_iteration(multiplication(A,star(A))),multiplication(strong_iteration(
% 49.70/49.83                                                                 star(A)),B))
% 49.70/49.83  -> true collapsed.
% 49.70/49.83  Rule [1122] leq(A,multiplication(strong_iteration(star(B)),zero)) -> true
% 53.45/53.60  collapsed.
% 53.45/53.60  Current number of equations to process: 3093
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1024
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1130]
% 53.45/53.60  leq(A,multiplication(multiplication(star(B),A),strong_iteration(C))) -> true
% 53.45/53.60  Current number of equations to process: 3100
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1025
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1131] leq(A,multiplication(star(B),multiplication(star(C),A))) -> true
% 53.45/53.60  Current number of equations to process: 3099
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1026
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1132]
% 53.45/53.60  leq(A,multiplication(multiplication(star(B),A),strong_iteration(C)) addition V_3)
% 53.45/53.60  -> true
% 53.45/53.60  Current number of equations to process: 3098
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1027
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1133]
% 53.45/53.60  leq(A,multiplication(star(B),multiplication(star(C),A)) addition V_3) -> true
% 53.45/53.60  Current number of equations to process: 3097
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1028
% 53.45/53.60  New rule produced : [1134] leq(A,strong_iteration(star(B))) -> true
% 53.45/53.60  Rule [863] leq(A,strong_iteration(star(A))) -> true collapsed.
% 53.45/53.60  Rule [879] leq(star(A),strong_iteration(star(B))) -> true collapsed.
% 53.45/53.60  Rule [992] leq(strong_iteration(A),strong_iteration(star(B))) -> true
% 53.45/53.60  collapsed.
% 53.45/53.60  Current number of equations to process: 3097
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1026
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1135] leq(star(A),star(multiplication(star(A),A)) addition B) -> true
% 53.45/53.60  Current number of equations to process: 3097
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1027
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1136]
% 53.45/53.60  leq(strong_iteration(A),star(multiplication(A,strong_iteration(A))) addition B)
% 53.45/53.60  -> true
% 53.45/53.60  Current number of equations to process: 3097
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1028
% 53.45/53.60  Rule [789]
% 53.45/53.60       multiplication(multiplication(A,star(A)),multiplication(A,zero)) ->
% 53.45/53.60       multiplication(star(A),multiplication(A,zero)) is composed into 
% 53.45/53.60  [789]
% 53.45/53.60  multiplication(multiplication(A,star(A)),multiplication(A,zero)) ->
% 53.45/53.60  multiplication(star(A),zero)
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1137]
% 53.45/53.60  multiplication(star(A),multiplication(A,zero)) ->
% 53.45/53.60  multiplication(star(A),zero)
% 53.45/53.60  Rule
% 53.45/53.60  [844]
% 53.45/53.60  ifeq(leq(A,one),true,leq(multiplication(star(A),multiplication(A,zero)),one),true)
% 53.45/53.60  -> true collapsed.
% 53.45/53.60  Current number of equations to process: 3120
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1028
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1138]
% 53.45/53.60  leq(multiplication(A,B),multiplication(multiplication(star(C),A),B) addition V_3)
% 53.45/53.60  -> true
% 53.45/53.60  Current number of equations to process: 3148
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1029
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1139]
% 53.45/53.60  multiplication(star(A),multiplication(A,B)) addition multiplication(star(A),B)
% 53.45/53.60  -> multiplication(star(A),B)
% 53.45/53.60  Current number of equations to process: 3147
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1030
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1140]
% 53.45/53.60  leq(multiplication(star(A),multiplication(A,B)),multiplication(star(A),B)) ->
% 53.45/53.60  true
% 53.45/53.60  Current number of equations to process: 3222
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1031
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1141]
% 53.45/53.60  star(star(A)) addition multiplication(star(star(A)),A) ->
% 53.45/53.60  star(star(A)) addition A
% 53.45/53.60  Current number of equations to process: 3221
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1032
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1142]
% 53.45/53.60  multiplication(star(A),B) addition multiplication(A,B) ->
% 53.45/53.60  multiplication(star(A),B)
% 53.45/53.60  Current number of equations to process: 3281
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1033
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1143] leq(multiplication(A,B),multiplication(star(A),B)) -> true
% 53.45/53.60  Current number of equations to process: 3429
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1034
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1144] leq(multiplication(A,B),multiplication(star(A),B) addition C) -> true
% 53.45/53.60  Current number of equations to process: 3460
% 53.45/53.60  Current number of ordered equations: 0
% 53.45/53.60  Current number of rules: 1035
% 53.45/53.60  New rule produced :
% 53.45/53.60  [1145]
% 53.45/53.60  leq(multiplication(star(one),star(A)),multiplication(star(B),strong_iteration(A)))
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3494
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1036
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1146]
% 56.06/56.20  leq(multiplication(star(A),star(one)),multiplication(star(B),strong_iteration(A)))
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3497
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1037
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1147]
% 56.06/56.20  leq(multiplication(star(A),A),multiplication(star(B),strong_iteration(A))) ->
% 56.06/56.20  true
% 56.06/56.20  Current number of equations to process: 3510
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1038
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1148]
% 56.06/56.20  leq(multiplication(A,star(A)),multiplication(star(B),strong_iteration(A))) ->
% 56.06/56.20  true
% 56.06/56.20  Current number of equations to process: 3511
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1039
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1149]
% 56.06/56.20  star(multiplication(A,strong_iteration(A))) addition star(A) ->
% 56.06/56.20  star(multiplication(A,strong_iteration(A)))
% 56.06/56.20  Current number of equations to process: 3537
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1040
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1150]
% 56.06/56.20  leq(star(A) addition star(B),multiplication(star(A),strong_iteration(B))) ->
% 56.06/56.20  true
% 56.06/56.20  Current number of equations to process: 3542
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1041
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1151]
% 56.06/56.20  leq(multiplication(star(A),A),multiplication(star(B),strong_iteration(A)) addition C)
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3598
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1042
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1152]
% 56.06/56.20  leq(multiplication(A,star(A)),multiplication(star(B),strong_iteration(A)) addition C)
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3597
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1043
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1153]
% 56.06/56.20  multiplication(star(A),strong_iteration(B)) addition multiplication(star(B),zero)
% 56.06/56.20  -> multiplication(star(A),strong_iteration(B))
% 56.06/56.20  Current number of equations to process: 3596
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1044
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1154]
% 56.06/56.20  leq(star(A),one addition multiplication(star(B),multiplication(A,star(A))))
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3595
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1045
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1155]
% 56.06/56.20  leq(star(A),one addition multiplication(star(B),multiplication(star(A),A)))
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3594
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1046
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1156]
% 56.06/56.20  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(A,
% 56.06/56.20                                                              strong_iteration(A))))
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3593
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1047
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1157] leq(multiplication(A,B) addition B,multiplication(star(A),B)) -> true
% 56.06/56.20  Current number of equations to process: 3691
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1048
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1158]
% 56.06/56.20  leq(star(A) addition B,star(multiplication(star(A),A)) addition B) -> true
% 56.06/56.20  Current number of equations to process: 3690
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1049
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1159]
% 56.06/56.20  leq(strong_iteration(A) addition B,star(multiplication(A,strong_iteration(A))) addition B)
% 56.06/56.20  -> true
% 56.06/56.20  Current number of equations to process: 3689
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1050
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1160]
% 56.06/56.20  star(A) addition multiplication(A,star(multiplication(A,star(A)))) ->
% 56.06/56.20  star(multiplication(A,star(A)))
% 56.06/56.20  Current number of equations to process: 3688
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1051
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1161]
% 56.06/56.20  star(A) addition multiplication(A,strong_iteration(multiplication(A,star(A))))
% 56.06/56.20  -> strong_iteration(multiplication(A,star(A)))
% 56.06/56.20  Current number of equations to process: 3717
% 56.06/56.20  Current number of ordered equations: 0
% 56.06/56.20  Current number of rules: 1052
% 56.06/56.20  New rule produced :
% 56.06/56.20  [1162]
% 56.06/56.20  one addition multiplication(star(A),multiplication(A,star(A))) ->
% 56.06/56.20  multiplication(star(A),star(A))
% 56.79/56.93  Current number of equations to process: 3737
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1053
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1163] leq(star(multiplication(A,star(A))),star(A)) -> true
% 56.79/56.93  Rule
% 56.79/56.93  [1029]
% 56.79/56.93  ifeq(leq(star(multiplication(A,star(A))),star(A)),true,true,true) -> true
% 56.79/56.93  collapsed.
% 56.79/56.93  Current number of equations to process: 3741
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1053
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1164]
% 56.79/56.93  leq(multiplication(star(star(A)),zero),star(multiplication(star(A),A))) ->
% 56.79/56.93  true
% 56.79/56.93  Current number of equations to process: 3766
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1054
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1165]
% 56.79/56.93  leq(multiplication(star(A),zero),star(multiplication(star(A),A))) -> true
% 56.79/56.93  Current number of equations to process: 3770
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1055
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1166]
% 56.79/56.93  ifeq(leq(star(multiplication(star(A),A)),star(A)),true,true,true) -> true
% 56.79/56.93  Current number of equations to process: 3780
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1056
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1167]
% 56.79/56.93  leq(multiplication(star(A),zero),star(multiplication(star(A),A)) addition B)
% 56.79/56.93  -> true
% 56.79/56.93  Current number of equations to process: 3779
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1057
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1168]
% 56.79/56.93  star(A) addition multiplication(star(multiplication(star(A),A)),A) ->
% 56.79/56.93  star(multiplication(star(A),A))
% 56.79/56.93  Current number of equations to process: 3778
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1058
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1169]
% 56.79/56.93  leq(multiplication(star(star(A)),zero),strong_iteration(multiplication(
% 56.79/56.93                                                          star(A),A))) -> true
% 56.79/56.93  Current number of equations to process: 3792
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1059
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1170]
% 56.79/56.93  strong_iteration(multiplication(star(A),A)) addition star(A) ->
% 56.79/56.93  strong_iteration(multiplication(star(A),A))
% 56.79/56.93  Current number of equations to process: 3795
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1060
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1171]
% 56.79/56.93  leq(multiplication(star(A),zero),strong_iteration(multiplication(star(A),A)))
% 56.79/56.93  -> true
% 56.79/56.93  Current number of equations to process: 3796
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1061
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1172] leq(star(A),strong_iteration(multiplication(star(A),A))) -> true
% 56.79/56.93  Current number of equations to process: 3802
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1062
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1173]
% 56.79/56.93  leq(star(A),strong_iteration(multiplication(star(A),A)) addition B) -> true
% 56.79/56.93  Current number of equations to process: 3803
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1063
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1174]
% 56.79/56.93  ifeq(leq(strong_iteration(multiplication(star(A),A)),star(A)),true,true,true)
% 56.79/56.93  -> true
% 56.79/56.93  Current number of equations to process: 3807
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1064
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1175]
% 56.79/56.93  leq(multiplication(star(A),zero),strong_iteration(multiplication(star(A),A)) addition B)
% 56.79/56.93  -> true
% 56.79/56.93  Current number of equations to process: 3806
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1065
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1176]
% 56.79/56.93  leq(star(A) addition B,strong_iteration(multiplication(star(A),A)) addition B)
% 56.79/56.93  -> true
% 56.79/56.93  Current number of equations to process: 3805
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1066
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1177]
% 56.79/56.93  leq(A addition B,multiplication(star(C),A) addition multiplication(star(C),B))
% 56.79/56.93  -> true
% 56.79/56.93  Current number of equations to process: 3803
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1067
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1178]
% 56.79/56.93  leq(multiplication(star(A),multiplication(A,B)),multiplication(star(A),B) addition C)
% 56.79/56.93  -> true
% 56.79/56.93  Current number of equations to process: 3802
% 56.79/56.93  Current number of ordered equations: 0
% 56.79/56.93  Current number of rules: 1068
% 56.79/56.93  New rule produced :
% 56.79/56.93  [1179]
% 56.79/56.93  multiplication(star(star(multiplication(A,star(A)))),star(A)) ->
% 56.79/56.93  star(star(multiplication(A,star(A)))) addition star(A)
% 56.79/56.93  Current number of equations to process: 3801
% 56.79/56.93  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1069
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1180]
% 57.08/57.24  multiplication(star(star(multiplication(star(A),A))),star(A)) ->
% 57.08/57.24  star(star(multiplication(star(A),A))) addition star(A)
% 57.08/57.24  Current number of equations to process: 3800
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1070
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1181]
% 57.08/57.24  multiplication(star(star(multiplication(A,strong_iteration(A)))),strong_iteration(A))
% 57.08/57.24  ->
% 57.08/57.24  strong_iteration(A) addition star(star(multiplication(A,strong_iteration(A))))
% 57.08/57.24  Current number of equations to process: 3799
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1071
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1182]
% 57.08/57.24  leq(multiplication(star(one),star(A)),multiplication(star(B),strong_iteration(A)) addition C)
% 57.08/57.24  -> true
% 57.08/57.24  Current number of equations to process: 3798
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1072
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1183]
% 57.08/57.24  leq(multiplication(star(A),star(one)),multiplication(star(B),strong_iteration(A)) addition C)
% 57.08/57.24  -> true
% 57.08/57.24  Current number of equations to process: 3797
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1073
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1184]
% 57.08/57.24  leq(star(A) addition multiplication(star(B),zero),multiplication(star(B),
% 57.08/57.24                                                    strong_iteration(A))) ->
% 57.08/57.24  true
% 57.08/57.24  Current number of equations to process: 3796
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1074
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1185]
% 57.08/57.24  leq(star(A) addition star(B),multiplication(star(A),strong_iteration(B)) addition C)
% 57.08/57.24  -> true
% 57.08/57.24  Current number of equations to process: 3794
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1075
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1186]
% 57.08/57.24  multiplication(multiplication(star(A),A),multiplication(star(A),B)) <->
% 57.08/57.24  multiplication(multiplication(multiplication(A,star(A)),star(A)),B)
% 57.08/57.24  Current number of equations to process: 3792
% 57.08/57.24  Current number of ordered equations: 1
% 57.08/57.24  Current number of rules: 1076
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1187]
% 57.08/57.24  multiplication(multiplication(multiplication(A,star(A)),star(A)),B) <->
% 57.08/57.24  multiplication(multiplication(star(A),A),multiplication(star(A),B))
% 57.08/57.24  Current number of equations to process: 3792
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1077
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1188]
% 57.08/57.24  multiplication(A,multiplication(multiplication(B,star(B)),star(B))) <->
% 57.08/57.24  multiplication(multiplication(A,star(B)),multiplication(B,star(B)))
% 57.08/57.24  Current number of equations to process: 3791
% 57.08/57.24  Current number of ordered equations: 1
% 57.08/57.24  Current number of rules: 1078
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1189]
% 57.08/57.24  multiplication(multiplication(A,star(B)),multiplication(B,star(B))) <->
% 57.08/57.24  multiplication(A,multiplication(multiplication(B,star(B)),star(B)))
% 57.08/57.24  Current number of equations to process: 3791
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1079
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1190]
% 57.08/57.24  multiplication(multiplication(A,star(A)),multiplication(star(A),B)) <->
% 57.08/57.24  multiplication(multiplication(star(A),multiplication(A,star(A))),B)
% 57.08/57.24  Current number of equations to process: 3786
% 57.08/57.24  Current number of ordered equations: 1
% 57.08/57.24  Current number of rules: 1080
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1191]
% 57.08/57.24  multiplication(multiplication(star(A),multiplication(A,star(A))),B) <->
% 57.08/57.24  multiplication(multiplication(A,star(A)),multiplication(star(A),B))
% 57.08/57.24  Current number of equations to process: 3786
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1081
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1192]
% 57.08/57.24  multiplication(A,multiplication(star(B),multiplication(B,star(B)))) <->
% 57.08/57.24  multiplication(multiplication(A,B),multiplication(star(B),star(B)))
% 57.08/57.24  Current number of equations to process: 3785
% 57.08/57.24  Current number of ordered equations: 1
% 57.08/57.24  Current number of rules: 1082
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1193]
% 57.08/57.24  multiplication(multiplication(A,B),multiplication(star(B),star(B))) <->
% 57.08/57.24  multiplication(A,multiplication(star(B),multiplication(B,star(B))))
% 57.08/57.24  Current number of equations to process: 3785
% 57.08/57.24  Current number of ordered equations: 0
% 57.08/57.24  Current number of rules: 1083
% 57.08/57.24  New rule produced :
% 57.08/57.24  [1194]
% 57.08/57.24  multiplication(star(A),star(star(multiplication(star(A),A)))) ->
% 57.08/57.24  star(star(multiplication(star(A),A))) addition star(A)
% 57.08/57.24  Current number of equations to process: 3782
% 57.08/57.24  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1084
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1195]
% 58.18/58.32  multiplication(multiplication(A,star(B)),star(multiplication(star(B),B))) ->
% 58.18/58.32  multiplication(A,star(multiplication(star(B),B)))
% 58.18/58.32  Current number of equations to process: 3781
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1085
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1196]
% 58.18/58.32  multiplication(star(A),strong_iteration(star(multiplication(star(A),A)))) ->
% 58.18/58.32  strong_iteration(star(multiplication(star(A),A))) addition star(A)
% 58.18/58.32  Current number of equations to process: 3780
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1086
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1197]
% 58.18/58.32  multiplication(star(A),star(strong_iteration(multiplication(star(A),A)))) ->
% 58.18/58.32  star(strong_iteration(multiplication(star(A),A))) addition star(A)
% 58.18/58.32  Current number of equations to process: 3779
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1087
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1198]
% 58.18/58.32  multiplication(star(A),multiplication(strong_iteration(multiplication(
% 58.18/58.32                                                         star(A),A)),B)) ->
% 58.18/58.32  multiplication(strong_iteration(multiplication(star(A),A)),B)
% 58.18/58.32  Current number of equations to process: 3778
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1088
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1199]
% 58.18/58.32  multiplication(multiplication(A,star(B)),strong_iteration(multiplication(
% 58.18/58.32                                                            star(B),B))) ->
% 58.18/58.32  multiplication(A,strong_iteration(multiplication(star(B),B)))
% 58.18/58.32  Current number of equations to process: 3777
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1089
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1200]
% 58.18/58.32  multiplication(star(A),strong_iteration(strong_iteration(multiplication(
% 58.18/58.32                                                           star(A),A)))) ->
% 58.18/58.32  strong_iteration(strong_iteration(multiplication(star(A),A))) addition 
% 58.18/58.32  star(A)
% 58.18/58.32  Current number of equations to process: 3774
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1090
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1201]
% 58.18/58.32  leq(multiplication(A,star(multiplication(A,star(A)))),star(multiplication(A,
% 58.18/58.32                                                             star(A)))) -> true
% 58.18/58.32  Current number of equations to process: 3893
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1091
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1202]
% 58.18/58.32  leq(multiplication(A,strong_iteration(multiplication(A,star(A)))),strong_iteration(
% 58.18/58.32                                                                    multiplication(A,
% 58.18/58.32                                                                    star(A))))
% 58.18/58.32  -> true
% 58.18/58.32  Current number of equations to process: 3892
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1092
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1203]
% 58.18/58.32  leq(multiplication(A,star(multiplication(star(A),A))),star(multiplication(
% 58.18/58.32                                                             star(A),A))) ->
% 58.18/58.32  true
% 58.18/58.32  Current number of equations to process: 3891
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1093
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1204]
% 58.18/58.32  leq(multiplication(A,strong_iteration(multiplication(star(A),A))),strong_iteration(
% 58.18/58.32                                                                    multiplication(
% 58.18/58.32                                                                    star(A),A)))
% 58.18/58.32  -> true
% 58.18/58.32  Current number of equations to process: 3890
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1094
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1205]
% 58.18/58.32  leq(A addition B,multiplication(multiplication(star(C),A),star(V_3)) addition B)
% 58.18/58.32  -> true
% 58.18/58.32  Current number of equations to process: 3889
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1095
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1206]
% 58.18/58.32  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(
% 58.18/58.32                                                                  star(V_3),A))
% 58.18/58.32  -> true
% 58.18/58.32  Current number of equations to process: 3887
% 58.18/58.32  Current number of ordered equations: 1
% 58.18/58.32  Current number of rules: 1096
% 58.18/58.32  New rule produced :
% 58.18/58.32  [1207]
% 58.18/58.32  leq(A addition B,multiplication(strong_iteration(C),multiplication(star(V_3),A)) addition B)
% 58.18/58.32  -> true
% 58.18/58.32  Current number of equations to process: 3887
% 58.18/58.32  Current number of ordered equations: 0
% 58.18/58.32  Current number of rules: 1097
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1208]
% 61.43/61.54  strong_iteration(A) addition multiplication(star(B),multiplication(B,star(A)))
% 61.43/61.54  -> strong_iteration(A) addition multiplication(star(B),star(A))
% 61.43/61.54  Current number of equations to process: 3885
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1098
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1209]
% 61.43/61.54  multiplication(star(A),multiplication(A,multiplication(B,zero))) addition B
% 61.43/61.54  -> multiplication(star(A),multiplication(B,zero)) addition B
% 61.43/61.54  Current number of equations to process: 3884
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1099
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1210]
% 61.43/61.54  leq(multiplication(star(A),zero) addition B,multiplication(star(A),B) addition C)
% 61.43/61.54  -> true
% 61.43/61.54  Current number of equations to process: 3996
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1100
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1211]
% 61.43/61.54  leq(A addition B,multiplication(multiplication(star(C),A),strong_iteration(V_3)) addition B)
% 61.43/61.54  -> true
% 61.43/61.54  Current number of equations to process: 3995
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1101
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1212]
% 61.43/61.54  leq(A addition B,multiplication(star(C),B) addition multiplication(star(V_3),A))
% 61.43/61.54  -> true
% 61.43/61.54  Rule
% 61.43/61.54  [1177]
% 61.43/61.54  leq(A addition B,multiplication(star(C),A) addition multiplication(star(C),B))
% 61.43/61.54  -> true collapsed.
% 61.43/61.54  Current number of equations to process: 3993
% 61.43/61.54  Current number of ordered equations: 1
% 61.43/61.54  Current number of rules: 1101
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1213]
% 61.43/61.54  leq(A addition B,multiplication(star(C),multiplication(star(V_3),A)) addition B)
% 61.43/61.54  -> true
% 61.43/61.54  Current number of equations to process: 3993
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1102
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1214]
% 61.43/61.54  leq(multiplication(A,zero) addition B,multiplication(star(C),B) addition A)
% 61.43/61.54  -> true
% 61.43/61.54  Current number of equations to process: 4055
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1103
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1215]
% 61.43/61.54  leq(multiplication(A,B) addition C,multiplication(star(A),B) addition C) ->
% 61.43/61.54  true
% 61.43/61.54  Current number of equations to process: 4183
% 61.43/61.54  Current number of ordered equations: 1
% 61.43/61.54  Current number of rules: 1104
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1216]
% 61.43/61.54  leq(multiplication(A,B) addition B,multiplication(star(A),B) addition C) ->
% 61.43/61.54  true
% 61.43/61.54  Current number of equations to process: 4183
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1105
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1217]
% 61.43/61.54  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 61.43/61.54  <-> multiplication(star(A),multiplication(B,C))
% 61.43/61.54  Current number of equations to process: 4182
% 61.43/61.54  Current number of ordered equations: 1
% 61.43/61.54  Current number of rules: 1106
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1218]
% 61.43/61.54  multiplication(star(A),multiplication(B,C)) <->
% 61.43/61.54  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 61.43/61.54  Current number of equations to process: 4182
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1107
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1219]
% 61.43/61.54  leq(multiplication(A,zero) addition B,star(A) addition multiplication(
% 61.43/61.54                                                         star(C),B)) -> true
% 61.43/61.54  Current number of equations to process: 4181
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1108
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1220]
% 61.43/61.54  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(
% 61.43/61.54                                                                     star(C),B))
% 61.43/61.54  -> true
% 61.43/61.54  Current number of equations to process: 4180
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1109
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1221]
% 61.43/61.54  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 61.43/61.54                                                           star(V_3),A),
% 61.43/61.54                                            multiplication(B,C))) -> true
% 61.43/61.54  Current number of equations to process: 4179
% 61.43/61.54  Current number of ordered equations: 0
% 61.43/61.54  Current number of rules: 1110
% 61.43/61.54  New rule produced :
% 61.43/61.54  [1222]
% 61.43/61.54  leq(multiplication(multiplication(A,B),C),multiplication(multiplication(
% 61.43/61.54                                                           multiplication(
% 61.43/61.54                                                           star(V_3),A),B),C))
% 61.43/61.54  -> true
% 61.43/61.54  Current number of equations to process: 4178
% 61.43/61.54  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1111
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1223]
% 61.62/61.76  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 61.62/61.76                                                           star(V_3),multiplication(A,B)),C))
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4177
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1112
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1224]
% 61.62/61.76  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 61.62/61.76                                                           multiplication(
% 61.62/61.76                                                           star(V_3),A),B),C))
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4176
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1113
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1225]
% 61.62/61.76  leq(star(A) addition star(B),strong_iteration(A) addition multiplication(
% 61.62/61.76                                                            star(C),strong_iteration(B)))
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4174
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1114
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1226]
% 61.62/61.76  leq(multiplication(A,B) addition C,multiplication(multiplication(star(V_3),A),B) addition C)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4173
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1115
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1227]
% 61.62/61.76  leq(strong_iteration(A) addition multiplication(star(B),star(A)),multiplication(
% 61.62/61.76                                                                   star(B),
% 61.62/61.76                                                                   strong_iteration(A)))
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4172
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1116
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1228]
% 61.62/61.76  leq(multiplication(A,B) addition B addition C,multiplication(star(A),B) addition C)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4170
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1117
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1229]
% 61.62/61.76  ifeq(leq(multiplication(multiplication(A,star(A)),star(A)),star(A)),true,true,true)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4169
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1118
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1230]
% 61.62/61.76  ifeq(leq(star(A),zero),true,leq(star(multiplication(star(A),A)),zero),true)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4167
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1119
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1231]
% 61.62/61.76  leq(multiplication(star(A),zero) addition B,star(multiplication(star(A),A)) addition B)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4166
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1120
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1232]
% 61.62/61.76  leq(star(A) addition B,star(multiplication(star(A),A)) addition B addition C)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4165
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1121
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1233]
% 61.62/61.76  leq(multiplication(star(A),zero) addition B,strong_iteration(multiplication(
% 61.62/61.76                                                               star(A),A)) addition B)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4164
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1122
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1234]
% 61.62/61.76  leq(star(A) addition B,strong_iteration(multiplication(star(A),A)) addition B addition C)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4163
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1123
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1235]
% 61.62/61.76  leq(star(A),one addition multiplication(star(B),multiplication(A,star(A))) addition C)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4161
% 61.62/61.76  Current number of ordered equations: 1
% 61.62/61.76  Current number of rules: 1124
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1236]
% 61.62/61.76  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(
% 61.62/61.76                                                            star(C),B)) -> true
% 61.62/61.76  Current number of equations to process: 4161
% 61.62/61.76  Current number of ordered equations: 0
% 61.62/61.76  Current number of rules: 1125
% 61.62/61.76  New rule produced :
% 61.62/61.76  [1237]
% 61.62/61.76  leq(star(A),one addition multiplication(star(B),multiplication(star(A),A)) addition C)
% 61.62/61.76  -> true
% 61.62/61.76  Current number of equations to process: 4159
% 61.62/61.76  Current number of ordered equations: 1
% 61.92/62.06  Current number of rules: 1126
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1238]
% 61.92/62.06  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(
% 61.92/62.06                                                            star(C),B)) -> true
% 61.92/62.06  Current number of equations to process: 4159
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1127
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1239]
% 61.92/62.06  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(A,
% 61.92/62.06                                                              strong_iteration(A))) addition C)
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4157
% 61.92/62.06  Current number of ordered equations: 1
% 61.92/62.06  Current number of rules: 1128
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1240]
% 61.92/62.06  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 61.92/62.06                                                       multiplication(star(C),B))
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4157
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1129
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1241]
% 61.92/62.06  leq(multiplication(A,zero) addition B,multiplication(star(C),B) addition 
% 61.92/62.06                                        multiplication(A,V_3)) -> true
% 61.92/62.06  Current number of equations to process: 4156
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1130
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1242]
% 61.92/62.06  leq(multiplication(A,star(A)) addition B,multiplication(star(C),star(A)) addition B)
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4155
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1131
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1243]
% 61.92/62.06  leq(multiplication(star(A),A) addition B,multiplication(star(C),star(A)) addition B)
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4154
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1132
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1244]
% 61.92/62.06  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(star(C),
% 61.92/62.06                                                       strong_iteration(A)) addition B)
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4153
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1133
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1245]
% 61.92/62.06  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 61.92/62.06                                                          star(C),strong_iteration(A)) addition B)
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4152
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1134
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1246]
% 61.92/62.06  leq(multiplication(A,zero) addition B,multiplication(star(C),B) addition A addition V_3)
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4151
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1135
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1247]
% 61.92/62.06  leq(one addition A,multiplication(star(B),star(C)) addition multiplication(
% 61.92/62.06                                                              star(V_3),A)) ->
% 61.92/62.06  true
% 61.92/62.06  Current number of equations to process: 4149
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1136
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1248]
% 61.92/62.06  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 61.92/62.06                     multiplication(star(V_3),A)) -> true
% 61.92/62.06  Current number of equations to process: 4148
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1137
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1249]
% 61.92/62.06  leq(one addition A,multiplication(star(B),strong_iteration(C)) addition 
% 61.92/62.06                     multiplication(star(V_3),A)) -> true
% 61.92/62.06  Current number of equations to process: 4145
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1138
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1250]
% 61.92/62.06  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 61.92/62.06                     multiplication(star(V_3),A)) -> true
% 61.92/62.06  Current number of equations to process: 4144
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1139
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1251]
% 61.92/62.06  leq(strong_iteration(A) addition B,star(multiplication(A,strong_iteration(A))) addition B addition C)
% 61.92/62.06  -> true
% 61.92/62.06  Current number of equations to process: 4143
% 61.92/62.06  Current number of ordered equations: 0
% 61.92/62.06  Current number of rules: 1140
% 61.92/62.06  New rule produced :
% 61.92/62.06  [1252]
% 61.92/62.06  leq(multiplication(A,B) addition C,multiplication(star(A),B) addition C addition V_3)
% 61.92/62.06  -> true
% 65.87/66.03  Current number of equations to process: 4142
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1141
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1253]
% 65.87/66.03  leq(multiplication(star(one),multiplication(A,zero)),multiplication(star(B),
% 65.87/66.03                                                       multiplication(A,C))) ->
% 65.87/66.03  true
% 65.87/66.03  Current number of equations to process: 4191
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1142
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1254]
% 65.87/66.03  multiplication(A,multiplication(strong_iteration(A),zero)) ->
% 65.87/66.03  multiplication(strong_iteration(A),zero)
% 65.87/66.03  Rule
% 65.87/66.03  [337]
% 65.87/66.03  star(A) addition multiplication(A,multiplication(strong_iteration(A),zero))
% 65.87/66.03  -> strong_iteration(A) collapsed.
% 65.87/66.03  Rule
% 65.87/66.03  [507]
% 65.87/66.03  ifeq(leq(multiplication(strong_iteration(A),zero),multiplication(A,multiplication(
% 65.87/66.03                                                                     strong_iteration(A),zero))),true,true,true)
% 65.87/66.03  -> true collapsed.
% 65.87/66.03  Current number of equations to process: 4251
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1141
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1255]
% 65.87/66.03  multiplication(multiplication(A,B),multiplication(strong_iteration(B),zero))
% 65.87/66.03  -> multiplication(A,multiplication(strong_iteration(B),zero))
% 65.87/66.03  Current number of equations to process: 4252
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1142
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1256]
% 65.87/66.03  multiplication(strong_iteration(A),zero) addition multiplication(A,strong_iteration(A))
% 65.87/66.03  -> multiplication(A,strong_iteration(A))
% 65.87/66.03  Rule
% 65.87/66.03  [758]
% 65.87/66.03  leq(multiplication(strong_iteration(A),zero) addition multiplication(A,
% 65.87/66.03                                                        strong_iteration(A)),
% 65.87/66.03  strong_iteration(A)) -> true collapsed.
% 65.87/66.03  Current number of equations to process: 4326
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1142
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1257]
% 65.87/66.03  leq(multiplication(strong_iteration(A),zero),multiplication(multiplication(A,
% 65.87/66.03                                                              strong_iteration(A)),B))
% 65.87/66.03  -> true
% 65.87/66.03  Current number of equations to process: 4325
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1143
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1258]
% 65.87/66.03  star(multiplication(A,strong_iteration(A))) addition multiplication(strong_iteration(A),zero)
% 65.87/66.03  -> star(multiplication(A,strong_iteration(A)))
% 65.87/66.03  Current number of equations to process: 4324
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1144
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1259]
% 65.87/66.03  strong_iteration(multiplication(A,strong_iteration(A))) addition multiplication(
% 65.87/66.03                                                                   strong_iteration(A),zero)
% 65.87/66.03  -> strong_iteration(multiplication(A,strong_iteration(A)))
% 65.87/66.03  Current number of equations to process: 4323
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1145
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1260]
% 65.87/66.03  multiplication(strong_iteration(A),B) addition multiplication(A,multiplication(
% 65.87/66.03                                                                  strong_iteration(A),B))
% 65.87/66.03  -> multiplication(strong_iteration(A),B)
% 65.87/66.03  Current number of equations to process: 4322
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1146
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1261]
% 65.87/66.03  leq(multiplication(A,multiplication(strong_iteration(A),B)),multiplication(
% 65.87/66.03                                                              strong_iteration(A),B))
% 65.87/66.03  -> true
% 65.87/66.03  Current number of equations to process: 4388
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1147
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1262]
% 65.87/66.03  multiplication(star(A),multiplication(strong_iteration(star(A)),B)) ->
% 65.87/66.03  multiplication(strong_iteration(star(A)),B)
% 65.87/66.03  Current number of equations to process: 4454
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1148
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1263]
% 65.87/66.03  multiplication(strong_iteration(A),multiplication(strong_iteration(strong_iteration(A)),B))
% 65.87/66.03  -> multiplication(strong_iteration(strong_iteration(A)),B)
% 65.87/66.03  Current number of equations to process: 4453
% 65.87/66.03  Current number of ordered equations: 0
% 65.87/66.03  Current number of rules: 1149
% 65.87/66.03  New rule produced :
% 65.87/66.03  [1264]
% 65.87/66.03  leq(multiplication(A,zero),multiplication(strong_iteration(A),B) addition C)
% 65.87/66.03  -> true
% 65.87/66.03  Current number of equations to process: 4509
% 65.87/66.03  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1150
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1265]
% 67.82/68.00  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),B))
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4522
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1151
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1266]
% 67.82/68.00  multiplication(strong_iteration(multiplication(A,B)),C) addition multiplication(A,zero)
% 67.82/68.00  -> multiplication(strong_iteration(multiplication(A,B)),C)
% 67.82/68.00  Current number of equations to process: 4635
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1152
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1267]
% 67.82/68.00  one addition multiplication(star(A),multiplication(star(A),A)) ->
% 67.82/68.00  multiplication(star(A),star(A))
% 67.82/68.00  Current number of equations to process: 4666
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1153
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1268]
% 67.82/68.00  multiplication(star(A),multiplication(A,strong_iteration(A))) <->
% 67.82/68.00  multiplication(star(A),multiplication(strong_iteration(A),A))
% 67.82/68.00  Current number of equations to process: 4686
% 67.82/68.00  Current number of ordered equations: 1
% 67.82/68.00  Current number of rules: 1154
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1269]
% 67.82/68.00  multiplication(star(A),multiplication(strong_iteration(A),A)) <->
% 67.82/68.00  multiplication(star(A),multiplication(A,strong_iteration(A)))
% 67.82/68.00  Current number of equations to process: 4686
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1155
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1270] leq(star(multiplication(star(A),A)),star(A)) -> true
% 67.82/68.00  Rule
% 67.82/68.00  [1166]
% 67.82/68.00  ifeq(leq(star(multiplication(star(A),A)),star(A)),true,true,true) -> true
% 67.82/68.00  collapsed.
% 67.82/68.00  Current number of equations to process: 4688
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1155
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1271]
% 67.82/68.00  leq(star(multiplication(A,strong_iteration(A))),multiplication(strong_iteration(
% 67.82/68.00                                                                 strong_iteration(A)),B))
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4700
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1156
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1272]
% 67.82/68.00  leq(multiplication(star(strong_iteration(A)),zero),star(multiplication(A,
% 67.82/68.00                                                          strong_iteration(A))))
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4713
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1157
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1273]
% 67.82/68.00  leq(multiplication(strong_iteration(A),zero),star(multiplication(A,strong_iteration(A))))
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4716
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1158
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1274]
% 67.82/68.00  ifeq(leq(star(multiplication(A,strong_iteration(A))),strong_iteration(A)),true,true,true)
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4727
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1159
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1275]
% 67.82/68.00  leq(multiplication(strong_iteration(A),zero),star(multiplication(A,strong_iteration(A))) addition B)
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4726
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1160
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1276]
% 67.82/68.00  leq(strong_iteration(multiplication(A,strong_iteration(A))),multiplication(
% 67.82/68.00                                                              strong_iteration(
% 67.82/68.00                                                              strong_iteration(A)),B))
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4727
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1161
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1277]
% 67.82/68.00  leq(multiplication(star(strong_iteration(A)),zero),strong_iteration(multiplication(A,
% 67.82/68.00                                                                      strong_iteration(A))))
% 67.82/68.00  -> true
% 67.82/68.00  Current number of equations to process: 4740
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1162
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1278]
% 67.82/68.00  strong_iteration(multiplication(A,strong_iteration(A))) addition strong_iteration(A)
% 67.82/68.00  -> strong_iteration(multiplication(A,strong_iteration(A)))
% 67.82/68.00  Current number of equations to process: 4742
% 67.82/68.00  Current number of ordered equations: 0
% 67.82/68.00  Current number of rules: 1163
% 67.82/68.00  New rule produced :
% 67.82/68.00  [1279]
% 67.82/68.00  leq(multiplication(strong_iteration(A),zero),strong_iteration(multiplication(A,
% 67.82/68.00                                                                strong_iteration(A))))
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4745
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1164
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1280]
% 68.22/68.38  strong_iteration(multiplication(A,strong_iteration(A))) addition star(A) ->
% 68.22/68.38  strong_iteration(multiplication(A,strong_iteration(A)))
% 68.22/68.38  Current number of equations to process: 4744
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1165
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1281]
% 68.22/68.38  leq(strong_iteration(A),strong_iteration(multiplication(A,strong_iteration(A))))
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4750
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1166
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1282]
% 68.22/68.38  leq(strong_iteration(A),strong_iteration(multiplication(A,strong_iteration(A))) addition B)
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4751
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1167
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1283]
% 68.22/68.38  ifeq(leq(strong_iteration(multiplication(A,strong_iteration(A))),strong_iteration(A)),true,true,true)
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4757
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1168
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1284]
% 68.22/68.38  leq(multiplication(strong_iteration(A),zero),strong_iteration(multiplication(A,
% 68.22/68.38                                                                strong_iteration(A))) addition B)
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4756
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1169
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1285]
% 68.22/68.38  leq(strong_iteration(A) addition B,strong_iteration(multiplication(A,
% 68.22/68.38                                                      strong_iteration(A))) addition B)
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4755
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1170
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1286]
% 68.22/68.38  ifeq(leq(multiplication(strong_iteration(A),zero),multiplication(A,strong_iteration(A))),true,true,true)
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4754
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1171
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1287]
% 68.22/68.38  leq(multiplication(strong_iteration(A),zero),multiplication(multiplication(A,
% 68.22/68.38                                                              strong_iteration(A)),B) addition C)
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4753
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1172
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1288]
% 68.22/68.38  multiplication(strong_iteration(A),multiplication(strong_iteration(multiplication(A,
% 68.22/68.38                                                                     strong_iteration(A))),B))
% 68.22/68.38  -> multiplication(strong_iteration(multiplication(A,strong_iteration(A))),B)
% 68.22/68.38  Current number of equations to process: 4752
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1173
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1289]
% 68.22/68.38  leq(multiplication(A,multiplication(strong_iteration(A),B)),multiplication(
% 68.22/68.38                                                              strong_iteration(A),B) addition C)
% 68.22/68.38  -> true
% 68.22/68.38  Current number of equations to process: 4751
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1174
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1290]
% 68.22/68.38  multiplication(multiplication(multiplication(star(A),A),star(A)),B) <->
% 68.22/68.38  multiplication(multiplication(star(A),star(A)),multiplication(A,B))
% 68.22/68.38  Current number of equations to process: 4748
% 68.22/68.38  Current number of ordered equations: 1
% 68.22/68.38  Current number of rules: 1175
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1291]
% 68.22/68.38  multiplication(multiplication(star(A),star(A)),multiplication(A,B)) <->
% 68.22/68.38  multiplication(multiplication(multiplication(star(A),A),star(A)),B)
% 68.22/68.38  Current number of equations to process: 4748
% 68.22/68.38  Current number of ordered equations: 0
% 68.22/68.38  Current number of rules: 1176
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1292]
% 68.22/68.38  multiplication(A,multiplication(multiplication(star(B),B),star(B))) <->
% 68.22/68.38  multiplication(multiplication(A,star(B)),multiplication(star(B),B))
% 68.22/68.38  Current number of equations to process: 4747
% 68.22/68.38  Current number of ordered equations: 1
% 68.22/68.38  Current number of rules: 1177
% 68.22/68.38  New rule produced :
% 68.22/68.38  [1293]
% 68.22/68.38  multiplication(multiplication(A,star(B)),multiplication(star(B),B)) <->
% 68.22/68.38  multiplication(A,multiplication(multiplication(star(B),B),star(B)))
% 68.89/69.06  Current number of equations to process: 4747
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1178
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1294]
% 68.89/69.06  multiplication(multiplication(star(A),A),multiplication(star(A),B)) <->
% 68.89/69.06  multiplication(multiplication(star(A),multiplication(star(A),A)),B)
% 68.89/69.06  Current number of equations to process: 4742
% 68.89/69.06  Current number of ordered equations: 1
% 68.89/69.06  Current number of rules: 1179
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1295]
% 68.89/69.06  multiplication(multiplication(star(A),multiplication(star(A),A)),B) <->
% 68.89/69.06  multiplication(multiplication(star(A),A),multiplication(star(A),B))
% 68.89/69.06  Current number of equations to process: 4742
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1180
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1296]
% 68.89/69.06  multiplication(A,multiplication(star(B),multiplication(star(B),B))) <->
% 68.89/69.06  multiplication(multiplication(A,star(B)),multiplication(B,star(B)))
% 68.89/69.06  Current number of equations to process: 4741
% 68.89/69.06  Current number of ordered equations: 1
% 68.89/69.06  Current number of rules: 1181
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1297]
% 68.89/69.06  multiplication(multiplication(A,star(B)),multiplication(B,star(B))) <->
% 68.89/69.06  multiplication(A,multiplication(star(B),multiplication(star(B),B)))
% 68.89/69.06  Current number of equations to process: 4741
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1182
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1298]
% 68.89/69.06  multiplication(strong_iteration(A),star(star(multiplication(A,strong_iteration(A)))))
% 68.89/69.06  ->
% 68.89/69.06  strong_iteration(A) addition star(star(multiplication(A,strong_iteration(A))))
% 68.89/69.06  Current number of equations to process: 4737
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1183
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1299]
% 68.89/69.06  multiplication(multiplication(A,strong_iteration(B)),star(multiplication(B,
% 68.89/69.06                                                            strong_iteration(B))))
% 68.89/69.06  -> multiplication(A,star(multiplication(B,strong_iteration(B))))
% 68.89/69.06  Current number of equations to process: 4736
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1184
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1300]
% 68.89/69.06  multiplication(strong_iteration(A),strong_iteration(star(multiplication(A,
% 68.89/69.06                                                           strong_iteration(A)))))
% 68.89/69.06  ->
% 68.89/69.06  strong_iteration(star(multiplication(A,strong_iteration(A)))) addition 
% 68.89/69.06  strong_iteration(A)
% 68.89/69.06  Current number of equations to process: 4735
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1185
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1301]
% 68.89/69.06  multiplication(strong_iteration(A),star(strong_iteration(multiplication(A,
% 68.89/69.06                                                           strong_iteration(A)))))
% 68.89/69.06  ->
% 68.89/69.06  strong_iteration(A) addition star(strong_iteration(multiplication(A,strong_iteration(A))))
% 68.89/69.06  Current number of equations to process: 4734
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1186
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1302]
% 68.89/69.06  multiplication(multiplication(A,strong_iteration(B)),strong_iteration(
% 68.89/69.06                                                       multiplication(B,
% 68.89/69.06                                                       strong_iteration(B))))
% 68.89/69.06  -> multiplication(A,strong_iteration(multiplication(B,strong_iteration(B))))
% 68.89/69.06  Current number of equations to process: 4732
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1187
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1303]
% 68.89/69.06  multiplication(strong_iteration(A),strong_iteration(strong_iteration(
% 68.89/69.06                                                      multiplication(A,
% 68.89/69.06                                                      strong_iteration(A)))))
% 68.89/69.06  ->
% 68.89/69.06  strong_iteration(strong_iteration(multiplication(A,strong_iteration(A)))) addition 
% 68.89/69.06  strong_iteration(A)
% 68.89/69.06  Current number of equations to process: 4728
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1188
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1304]
% 68.89/69.06  multiplication(strong_iteration(A),zero) addition multiplication(multiplication(A,
% 68.89/69.06                                                                   strong_iteration(A)),B)
% 68.89/69.06  -> multiplication(multiplication(A,strong_iteration(A)),B)
% 68.89/69.06  Current number of equations to process: 4777
% 68.89/69.06  Current number of ordered equations: 0
% 68.89/69.06  Current number of rules: 1189
% 68.89/69.06  New rule produced :
% 68.89/69.06  [1305]
% 68.89/69.06  multiplication(multiplication(A,multiplication(B,C)),multiplication(strong_iteration(C),zero))
% 70.93/71.10  ->
% 70.93/71.10  multiplication(multiplication(A,B),multiplication(strong_iteration(C),zero))
% 70.93/71.10  Current number of equations to process: 4776
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1190
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1306]
% 70.93/71.10  strong_iteration(A) addition multiplication(B,multiplication(strong_iteration(B),
% 70.93/71.10                                                star(A))) ->
% 70.93/71.10  strong_iteration(A) addition multiplication(strong_iteration(B),star(A))
% 70.93/71.10  Current number of equations to process: 4773
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1191
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1307]
% 70.93/71.10  multiplication(A,multiplication(strong_iteration(A),multiplication(B,zero))) addition B
% 70.93/71.10  -> multiplication(strong_iteration(A),multiplication(B,zero)) addition B
% 70.93/71.10  Current number of equations to process: 4772
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1192
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1308]
% 70.93/71.10  leq(multiplication(A,zero) addition B,multiplication(star(C),multiplication(A,V_3)) addition B)
% 70.93/71.10  -> true
% 70.93/71.10  Current number of equations to process: 4771
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1193
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1309]
% 70.93/71.10  leq(multiplication(A,zero) addition B addition C,multiplication(strong_iteration(A),B) addition C)
% 70.93/71.10  -> true
% 70.93/71.10  Current number of equations to process: 4770
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1194
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1310]
% 70.93/71.10  ifeq(leq(strong_iteration(A),zero),true,leq(star(multiplication(A,strong_iteration(A))),zero),true)
% 70.93/71.10  -> true
% 70.93/71.10  Current number of equations to process: 4768
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1195
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1311]
% 70.93/71.10  leq(multiplication(strong_iteration(A),zero) addition B,star(multiplication(A,
% 70.93/71.10                                                               strong_iteration(A))) addition B)
% 70.93/71.10  -> true
% 70.93/71.10  Current number of equations to process: 4767
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1196
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1312]
% 70.93/71.10  leq(multiplication(strong_iteration(A),zero) addition B,strong_iteration(
% 70.93/71.10                                                          multiplication(A,
% 70.93/71.10                                                          strong_iteration(A))) addition B)
% 70.93/71.10  -> true
% 70.93/71.10  Current number of equations to process: 4766
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1197
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1313]
% 70.93/71.10  leq(strong_iteration(A) addition B,strong_iteration(multiplication(A,
% 70.93/71.10                                                      strong_iteration(A))) addition B addition C)
% 70.93/71.10  -> true
% 70.93/71.10  Current number of equations to process: 4765
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1198
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1314]
% 70.93/71.10  leq(A,multiplication(strong_iteration(multiplication(B,strong_iteration(B))),
% 70.93/71.10        multiplication(strong_iteration(B),A))) -> true
% 70.93/71.10  Current number of equations to process: 4765
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1199
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1315]
% 70.93/71.10  multiplication(strong_iteration(A),multiplication(star(strong_iteration(A)),B))
% 70.93/71.10  -> multiplication(star(strong_iteration(A)),B)
% 70.93/71.10  Current number of equations to process: 4895
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1200
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1316]
% 70.93/71.10  leq(A,multiplication(multiplication(strong_iteration(B),A),star(C))) -> true
% 70.93/71.10  Current number of equations to process: 4925
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1201
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1317]
% 70.93/71.10  leq(A,multiplication(strong_iteration(B),multiplication(strong_iteration(C),A)))
% 70.93/71.10  -> true
% 70.93/71.10  Rule
% 70.93/71.10  [1314]
% 70.93/71.10  leq(A,multiplication(strong_iteration(multiplication(B,strong_iteration(B))),
% 70.93/71.10        multiplication(strong_iteration(B),A))) -> true collapsed.
% 70.93/71.10  Current number of equations to process: 4924
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1201
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1318]
% 70.93/71.10  leq(A,multiplication(multiplication(strong_iteration(B),A),star(C)) addition V_3)
% 70.93/71.10  -> true
% 70.93/71.10  Current number of equations to process: 4923
% 70.93/71.10  Current number of ordered equations: 0
% 70.93/71.10  Current number of rules: 1202
% 70.93/71.10  New rule produced :
% 70.93/71.10  [1319]
% 70.93/71.10  leq(A,multiplication(strong_iteration(B),multiplication(strong_iteration(C),A)) addition V_3)
% 72.59/72.76  -> true
% 72.59/72.76  Current number of equations to process: 4922
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1203
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1320] leq(A,multiplication(strong_iteration(strong_iteration(B)),C)) -> true
% 72.59/72.76  Rule
% 72.59/72.76  [567]
% 72.59/72.76  leq(one,multiplication(strong_iteration(strong_iteration(A)),B)) -> true
% 72.59/72.76  collapsed.
% 72.59/72.76  Rule
% 72.59/72.76  [677]
% 72.59/72.76  leq(A,multiplication(strong_iteration(strong_iteration(B)),zero)) -> true
% 72.59/72.76  collapsed.
% 72.59/72.76  Rule
% 72.59/72.76  [770]
% 72.59/72.76  leq(A,multiplication(strong_iteration(strong_iteration(B)),star(B))) -> true
% 72.59/72.76  collapsed.
% 72.59/72.76  Rule
% 72.59/72.76  [982]
% 72.59/72.76  leq(strong_iteration(A),multiplication(strong_iteration(strong_iteration(A)),B))
% 72.59/72.76  -> true collapsed.
% 72.59/72.76  Rule
% 72.59/72.76  [1271]
% 72.59/72.76  leq(star(multiplication(A,strong_iteration(A))),multiplication(strong_iteration(
% 72.59/72.76                                                                 strong_iteration(A)),B))
% 72.59/72.76  -> true collapsed.
% 72.59/72.76  Rule
% 72.59/72.76  [1276]
% 72.59/72.76  leq(strong_iteration(multiplication(A,strong_iteration(A))),multiplication(
% 72.59/72.76                                                              strong_iteration(
% 72.59/72.76                                                              strong_iteration(A)),B))
% 72.59/72.76  -> true collapsed.
% 72.59/72.76  Current number of equations to process: 4922
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1198
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1321]
% 72.59/72.76  leq(A,multiplication(multiplication(strong_iteration(B),A),strong_iteration(C)))
% 72.59/72.76  -> true
% 72.59/72.76  Current number of equations to process: 4929
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1199
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1322]
% 72.59/72.76  leq(A,multiplication(star(B),multiplication(strong_iteration(C),A))) -> true
% 72.59/72.76  Current number of equations to process: 4928
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1200
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1323]
% 72.59/72.76  leq(A,multiplication(multiplication(strong_iteration(B),A),strong_iteration(C)) addition V_3)
% 72.59/72.76  -> true
% 72.59/72.76  Current number of equations to process: 4927
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1201
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1324]
% 72.59/72.76  leq(A,multiplication(star(B),multiplication(strong_iteration(C),A)) addition V_3)
% 72.59/72.76  -> true
% 72.59/72.76  Current number of equations to process: 4926
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1202
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1325] leq(A,strong_iteration(strong_iteration(B))) -> true
% 72.59/72.76  Rule [883] leq(star(A),strong_iteration(strong_iteration(B))) -> true
% 72.59/72.76  collapsed.
% 72.59/72.76  Rule
% 72.59/72.76  [996] leq(strong_iteration(A),strong_iteration(strong_iteration(B))) -> true
% 72.59/72.76  collapsed.
% 72.59/72.76  Current number of equations to process: 4926
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1201
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1326]
% 72.59/72.76  leq(multiplication(A,B),multiplication(multiplication(strong_iteration(C),A),B) addition V_3)
% 72.59/72.76  -> true
% 72.59/72.76  Current number of equations to process: 4951
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1202
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1327]
% 72.59/72.76  leq(multiplication(star(one),star(A)),multiplication(strong_iteration(B),
% 72.59/72.76                                        strong_iteration(A))) -> true
% 72.59/72.76  Current number of equations to process: 4986
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1203
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1328]
% 72.59/72.76  leq(multiplication(star(A),star(one)),multiplication(strong_iteration(B),
% 72.59/72.76                                        strong_iteration(A))) -> true
% 72.59/72.76  Current number of equations to process: 4989
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1204
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1329]
% 72.59/72.76  leq(multiplication(star(A),A),multiplication(strong_iteration(B),strong_iteration(A)))
% 72.59/72.76  -> true
% 72.59/72.76  Current number of equations to process: 2092
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1205
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1330]
% 72.59/72.76  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),strong_iteration(A)))
% 72.59/72.76  -> true
% 72.59/72.76  Current number of equations to process: 2093
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1206
% 72.59/72.76  New rule produced :
% 72.59/72.76  [1331]
% 72.59/72.76  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 72.59/72.76                                           strong_iteration(B))) -> true
% 72.59/72.76  Current number of equations to process: 2122
% 72.59/72.76  Current number of ordered equations: 0
% 72.59/72.76  Current number of rules: 1207
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1332]
% 75.10/75.25  leq(multiplication(star(A),A),multiplication(strong_iteration(B),strong_iteration(A)) addition C)
% 75.10/75.25  -> true
% 75.10/75.25  Current number of equations to process: 2183
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1208
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1333]
% 75.10/75.25  leq(multiplication(A,star(A)),multiplication(strong_iteration(B),strong_iteration(A)) addition C)
% 75.10/75.25  -> true
% 75.10/75.25  Current number of equations to process: 2182
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1209
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1334]
% 75.10/75.25  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 75.10/75.25                                                                   star(B),zero)
% 75.10/75.25  -> multiplication(strong_iteration(A),strong_iteration(B))
% 75.10/75.25  Current number of equations to process: 2181
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1210
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1335]
% 75.10/75.25  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(A,
% 75.10/75.25                                                              star(A)))) ->
% 75.10/75.25  true
% 75.10/75.25  Current number of equations to process: 2180
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1211
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1336]
% 75.10/75.25  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(
% 75.10/75.25                                                              star(A),A))) ->
% 75.10/75.25  true
% 75.10/75.25  Current number of equations to process: 2179
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1212
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1337]
% 75.10/75.25  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 75.10/75.25                                       multiplication(A,strong_iteration(A))))
% 75.10/75.25  -> true
% 75.10/75.25  Current number of equations to process: 2178
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1213
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1338]
% 75.10/75.25  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)) <->
% 75.10/75.25  multiplication(multiplication(strong_iteration(A),A),strong_iteration(A))
% 75.10/75.25  Current number of equations to process: 2278
% 75.10/75.25  Current number of ordered equations: 1
% 75.10/75.25  Current number of rules: 1214
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1339]
% 75.10/75.25  multiplication(multiplication(strong_iteration(A),A),strong_iteration(A)) <->
% 75.10/75.25  multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A))
% 75.10/75.25  Current number of equations to process: 2278
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1215
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1340]
% 75.10/75.25  strong_iteration(A) addition multiplication(A,star(multiplication(A,strong_iteration(A))))
% 75.10/75.25  -> star(multiplication(A,strong_iteration(A)))
% 75.10/75.25  Current number of equations to process: 2277
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1216
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1341]
% 75.10/75.25  one addition multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A))
% 75.10/75.25  -> multiplication(strong_iteration(A),strong_iteration(A))
% 75.10/75.25  Current number of equations to process: 2298
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1217
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1342]
% 75.10/75.25  star(A) addition multiplication(multiplication(A,strong_iteration(A)),
% 75.10/75.25                   strong_iteration(A)) ->
% 75.10/75.25  multiplication(strong_iteration(A),strong_iteration(A))
% 75.10/75.25  Current number of equations to process: 2314
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1218
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1343]
% 75.10/75.25  strong_iteration(A) addition multiplication(A,strong_iteration(multiplication(A,
% 75.10/75.25                                                                 strong_iteration(A))))
% 75.10/75.25  -> strong_iteration(multiplication(A,strong_iteration(A)))
% 75.10/75.25  Current number of equations to process: 2313
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1219
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1344]
% 75.10/75.25  leq(multiplication(star(one),star(A)),multiplication(strong_iteration(B),
% 75.10/75.25                                        strong_iteration(A)) addition C) ->
% 75.10/75.25  true
% 75.10/75.25  Current number of equations to process: 2339
% 75.10/75.25  Current number of ordered equations: 0
% 75.10/75.25  Current number of rules: 1220
% 75.10/75.25  New rule produced :
% 75.10/75.25  [1345]
% 75.10/75.25  leq(multiplication(star(A),star(one)),multiplication(strong_iteration(B),
% 75.10/75.25                                        strong_iteration(A)) addition C) ->
% 75.10/75.25  true
% 75.10/75.25  Current number of equations to process: 2338
% 76.38/76.49  Current number of ordered equations: 0
% 76.38/76.49  Current number of rules: 1221
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1346]
% 76.38/76.49  leq(star(A) addition multiplication(strong_iteration(B),zero),multiplication(
% 76.38/76.49                                                                strong_iteration(B),
% 76.38/76.49                                                                strong_iteration(A)))
% 76.38/76.49  -> true
% 76.38/76.49  Current number of equations to process: 2337
% 76.38/76.49  Current number of ordered equations: 0
% 76.38/76.49  Current number of rules: 1222
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1347]
% 76.38/76.49  leq(strong_iteration(A) addition star(B),multiplication(strong_iteration(A),
% 76.38/76.49                                           strong_iteration(B)) addition C) ->
% 76.38/76.49  true
% 76.38/76.49  Current number of equations to process: 2336
% 76.38/76.49  Current number of ordered equations: 0
% 76.38/76.49  Current number of rules: 1223
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1348]
% 76.38/76.49  multiplication(multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)),B)
% 76.38/76.49  <->
% 76.38/76.49  multiplication(multiplication(strong_iteration(A),A),multiplication(strong_iteration(A),B))
% 76.38/76.49  Current number of equations to process: 2335
% 76.38/76.49  Current number of ordered equations: 1
% 76.38/76.49  Current number of rules: 1224
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1349]
% 76.38/76.49  multiplication(multiplication(strong_iteration(A),A),multiplication(strong_iteration(A),B))
% 76.38/76.49  <->
% 76.38/76.49  multiplication(multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)),B)
% 76.38/76.49  Current number of equations to process: 2335
% 76.38/76.49  Current number of ordered equations: 0
% 76.38/76.49  Current number of rules: 1225
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1350]
% 76.38/76.49  multiplication(A,multiplication(multiplication(B,strong_iteration(B)),
% 76.38/76.49                   strong_iteration(B))) <->
% 76.38/76.49  multiplication(multiplication(A,strong_iteration(B)),multiplication(B,
% 76.38/76.49                                                       strong_iteration(B)))
% 76.38/76.49  Current number of equations to process: 2334
% 76.38/76.49  Current number of ordered equations: 1
% 76.38/76.49  Current number of rules: 1226
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1351]
% 76.38/76.49  multiplication(multiplication(A,strong_iteration(B)),multiplication(B,
% 76.38/76.49                                                       strong_iteration(B)))
% 76.38/76.49  <->
% 76.38/76.49  multiplication(A,multiplication(multiplication(B,strong_iteration(B)),
% 76.38/76.49                   strong_iteration(B)))
% 76.38/76.49  Current number of equations to process: 2334
% 76.38/76.49  Current number of ordered equations: 0
% 76.38/76.49  Current number of rules: 1227
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1352]
% 76.38/76.49  multiplication(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),B))
% 76.38/76.49  <->
% 76.38/76.49  multiplication(multiplication(strong_iteration(A),multiplication(A,strong_iteration(A))),B)
% 76.38/76.49  Current number of equations to process: 2329
% 76.38/76.49  Current number of ordered equations: 1
% 76.38/76.49  Current number of rules: 1228
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1353]
% 76.38/76.49  multiplication(multiplication(strong_iteration(A),multiplication(A,strong_iteration(A))),B)
% 76.38/76.49  <->
% 76.38/76.49  multiplication(multiplication(A,strong_iteration(A)),multiplication(strong_iteration(A),B))
% 76.38/76.49  Current number of equations to process: 2329
% 76.38/76.49  Current number of ordered equations: 0
% 76.38/76.49  Current number of rules: 1229
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1354]
% 76.38/76.49  multiplication(A,multiplication(strong_iteration(B),multiplication(B,
% 76.38/76.49                                                      strong_iteration(B))))
% 76.38/76.49  <->
% 76.38/76.49  multiplication(multiplication(A,B),multiplication(strong_iteration(B),
% 76.38/76.49                                     strong_iteration(B)))
% 76.38/76.49  Current number of equations to process: 2328
% 76.38/76.49  Current number of ordered equations: 1
% 76.38/76.49  Current number of rules: 1230
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1355]
% 76.38/76.49  multiplication(multiplication(A,B),multiplication(strong_iteration(B),
% 76.38/76.49                                     strong_iteration(B))) <->
% 76.38/76.49  multiplication(A,multiplication(strong_iteration(B),multiplication(B,
% 76.38/76.49                                                      strong_iteration(B))))
% 76.38/76.49  Current number of equations to process: 2328
% 76.38/76.49  Current number of ordered equations: 0
% 76.38/76.49  Current number of rules: 1231
% 76.38/76.49  New rule produced :
% 76.38/76.49  [1356]
% 76.38/76.49  leq(multiplication(A,star(multiplication(A,strong_iteration(A)))),star(
% 76.38/76.49                                                                    multiplication(A,
% 76.38/76.49                                                                    strong_iteration(A))))
% 76.38/76.49  -> true
% 76.38/76.49  Current number of equations to process: 2443
% 76.38/76.49  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1232
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1357]
% 80.07/80.22  leq(multiplication(A,strong_iteration(multiplication(A,strong_iteration(A)))),
% 80.07/80.22  strong_iteration(multiplication(A,strong_iteration(A)))) -> true
% 80.07/80.22  Current number of equations to process: 2442
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1233
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1358]
% 80.07/80.22  leq(A addition B,multiplication(multiplication(strong_iteration(C),A),
% 80.07/80.22                   star(V_3)) addition B) -> true
% 80.07/80.22  Current number of equations to process: 2441
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1234
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1359]
% 80.07/80.22  leq(A addition B,multiplication(strong_iteration(C),B) addition multiplication(
% 80.07/80.22                                                                  strong_iteration(V_3),A))
% 80.07/80.22  -> true
% 80.07/80.22  Rule
% 80.07/80.22  [691]
% 80.07/80.22  leq(A addition B,multiplication(strong_iteration(C),A) addition multiplication(
% 80.07/80.22                                                                  strong_iteration(C),B))
% 80.07/80.22  -> true collapsed.
% 80.07/80.22  Current number of equations to process: 2439
% 80.07/80.22  Current number of ordered equations: 1
% 80.07/80.22  Current number of rules: 1234
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1360]
% 80.07/80.22  leq(A addition B,multiplication(strong_iteration(C),multiplication(strong_iteration(V_3),A)) addition B)
% 80.07/80.22  -> true
% 80.07/80.22  Current number of equations to process: 2439
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1235
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1361]
% 80.07/80.22  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 80.07/80.22                                                          strong_iteration(A),B) addition C)
% 80.07/80.22  -> true
% 80.07/80.22  Current number of equations to process: 2548
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1236
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1362]
% 80.07/80.22  leq(A addition B,multiplication(multiplication(strong_iteration(C),A),
% 80.07/80.22                   strong_iteration(V_3)) addition B) -> true
% 80.07/80.22  Current number of equations to process: 2547
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1237
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1363]
% 80.07/80.22  leq(A addition B,multiplication(star(C),multiplication(strong_iteration(V_3),A)) addition B)
% 80.07/80.22  -> true
% 80.07/80.22  Current number of equations to process: 2546
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1238
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1364]
% 80.07/80.22  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),B) addition A)
% 80.07/80.22  -> true
% 80.07/80.22  Current number of equations to process: 2609
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1239
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1365]
% 80.07/80.22  multiplication(strong_iteration(A),multiplication(B,C)) <->
% 80.07/80.22  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 80.07/80.22  Current number of equations to process: 2758
% 80.07/80.22  Current number of ordered equations: 1
% 80.07/80.22  Current number of rules: 1240
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1366]
% 80.07/80.22  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 80.07/80.22  <-> multiplication(strong_iteration(A),multiplication(B,C))
% 80.07/80.22  Current number of equations to process: 2758
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1241
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1367]
% 80.07/80.22  leq(multiplication(A,zero) addition B,star(A) addition multiplication(
% 80.07/80.22                                                         strong_iteration(C),B))
% 80.07/80.22  -> true
% 80.07/80.22  Current number of equations to process: 2757
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1242
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1368]
% 80.07/80.22  leq(multiplication(A,zero) addition B,strong_iteration(A) addition multiplication(
% 80.07/80.22                                                                     strong_iteration(C),B))
% 80.07/80.22  -> true
% 80.07/80.22  Current number of equations to process: 2756
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1243
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1369]
% 80.07/80.22  leq(star(A) addition star(B),strong_iteration(A) addition multiplication(
% 80.07/80.22                                                            strong_iteration(C),
% 80.07/80.22                                                            strong_iteration(B)))
% 80.07/80.22  -> true
% 80.07/80.22  Current number of equations to process: 2755
% 80.07/80.22  Current number of ordered equations: 0
% 80.07/80.22  Current number of rules: 1244
% 80.07/80.22  New rule produced :
% 80.07/80.22  [1370]
% 80.07/80.22  leq(multiplication(A,B) addition C,multiplication(multiplication(strong_iteration(V_3),A),B) addition C)
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2754
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1245
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1371]
% 80.36/80.53  leq(strong_iteration(A) addition multiplication(strong_iteration(B),star(A)),
% 80.36/80.53  multiplication(strong_iteration(B),strong_iteration(A))) -> true
% 80.36/80.53  Current number of equations to process: 2753
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1246
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1372]
% 80.36/80.53  ifeq(leq(multiplication(multiplication(A,strong_iteration(A)),strong_iteration(A)),
% 80.36/80.53       strong_iteration(A)),true,true,true) -> true
% 80.36/80.53  Current number of equations to process: 2750
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1247
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1373]
% 80.36/80.53  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(A,
% 80.36/80.53                                                              star(A))) addition C)
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2748
% 80.36/80.53  Current number of ordered equations: 1
% 80.36/80.53  Current number of rules: 1248
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1374]
% 80.36/80.53  leq(multiplication(A,star(A)) addition B,star(A) addition multiplication(
% 80.36/80.53                                                            strong_iteration(C),B))
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2748
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1249
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1375]
% 80.36/80.53  leq(star(A),one addition multiplication(strong_iteration(B),multiplication(
% 80.36/80.53                                                              star(A),A)) addition C)
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2746
% 80.36/80.53  Current number of ordered equations: 1
% 80.36/80.53  Current number of rules: 1250
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1376]
% 80.36/80.53  leq(multiplication(star(A),A) addition B,star(A) addition multiplication(
% 80.36/80.53                                                            strong_iteration(C),B))
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2746
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1251
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1377]
% 80.36/80.53  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 80.36/80.53                                       multiplication(A,strong_iteration(A))) addition C)
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2744
% 80.36/80.53  Current number of ordered equations: 1
% 80.36/80.53  Current number of rules: 1252
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1378]
% 80.36/80.53  leq(multiplication(A,strong_iteration(A)) addition B,strong_iteration(A) addition 
% 80.36/80.53                                                       multiplication(strong_iteration(C),B))
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2744
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1253
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1379]
% 80.36/80.53  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),B) addition 
% 80.36/80.53                                        multiplication(A,V_3)) -> true
% 80.36/80.53  Current number of equations to process: 2743
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1254
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1380]
% 80.36/80.53  leq(multiplication(A,star(A)) addition B,multiplication(strong_iteration(C),
% 80.36/80.53                                           star(A)) addition B) -> true
% 80.36/80.53  Current number of equations to process: 2742
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1255
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1381]
% 80.36/80.53  leq(multiplication(star(A),A) addition B,multiplication(strong_iteration(C),
% 80.36/80.53                                           star(A)) addition B) -> true
% 80.36/80.53  Current number of equations to process: 2741
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1256
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1382]
% 80.36/80.53  leq(multiplication(A,strong_iteration(A)) addition B,multiplication(strong_iteration(C),
% 80.36/80.53                                                       strong_iteration(A)) addition B)
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2740
% 80.36/80.53  Current number of ordered equations: 0
% 80.36/80.53  Current number of rules: 1257
% 80.36/80.53  New rule produced :
% 80.36/80.53  [1383]
% 80.36/80.53  leq(multiplication(strong_iteration(A),zero) addition B,multiplication(
% 80.36/80.53                                                          strong_iteration(C),
% 80.36/80.53                                                          strong_iteration(A)) addition B)
% 80.36/80.53  -> true
% 80.36/80.53  Current number of equations to process: 2739
% 80.36/80.53  Current number of ordered equations: 0
% 83.41/83.52  Current number of rules: 1258
% 83.41/83.52  New rule produced :
% 83.41/83.52  [1384]
% 83.41/83.52  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),B) addition A addition V_3)
% 83.41/83.52  -> true
% 83.41/83.52  Current number of equations to process: 2738
% 83.41/83.52  Current number of ordered equations: 0
% 83.41/83.52  Current number of rules: 1259
% 83.41/83.52  New rule produced :
% 83.41/83.52  [1385]
% 83.41/83.52  leq(one addition A,multiplication(strong_iteration(B),A) addition multiplication(
% 83.41/83.52                                                                    star(C),
% 83.41/83.52                                                                    star(V_3)))
% 83.41/83.52  -> true
% 83.41/83.52  Current number of equations to process: 2736
% 83.41/83.52  Current number of ordered equations: 0
% 83.41/83.52  Current number of rules: 1260
% 83.41/83.52  New rule produced :
% 83.41/83.52  [1386]
% 83.41/83.52  leq(one addition A,multiplication(strong_iteration(B),star(C)) addition 
% 83.41/83.52                     multiplication(strong_iteration(V_3),A)) -> true
% 83.41/83.52  Current number of equations to process: 2735
% 83.41/83.52  Current number of ordered equations: 0
% 83.41/83.52  Current number of rules: 1261
% 83.41/83.52  New rule produced :
% 83.41/83.52  [1387]
% 83.41/83.52  leq(one addition A,multiplication(strong_iteration(B),A) addition multiplication(
% 83.41/83.53                                                                    star(C),
% 83.41/83.53                                                                    strong_iteration(V_3)))
% 83.41/83.53  -> true
% 83.41/83.53  Current number of equations to process: 2733
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1262
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1388]
% 83.41/83.53  leq(one addition A,multiplication(strong_iteration(B),strong_iteration(C)) addition 
% 83.41/83.53                     multiplication(strong_iteration(V_3),A)) -> true
% 83.41/83.53  Current number of equations to process: 2732
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1263
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1389]
% 83.41/83.53  leq(multiplication(star(one),multiplication(A,zero)),multiplication(strong_iteration(B),
% 83.41/83.53                                                       multiplication(A,C))) ->
% 83.41/83.53  true
% 83.41/83.53  Current number of equations to process: 2781
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1264
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1390]
% 83.41/83.53  leq(star(A),strong_iteration(multiplication(A,strong_iteration(A)))) -> true
% 83.41/83.53  Current number of equations to process: 2859
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1265
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1391]
% 83.41/83.53  star(multiplication(A,multiplication(B,multiplication(C,zero)))) <->
% 83.41/83.53  one addition multiplication(multiplication(A,B),multiplication(C,zero))
% 83.41/83.53  Current number of equations to process: 2872
% 83.41/83.53  Current number of ordered equations: 1
% 83.41/83.53  Current number of rules: 1266
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1392]
% 83.41/83.53  one addition multiplication(multiplication(A,B),multiplication(C,zero)) <->
% 83.41/83.53  star(multiplication(A,multiplication(B,multiplication(C,zero))))
% 83.41/83.53  Current number of equations to process: 2872
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1267
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1393]
% 83.41/83.53  strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero))))
% 83.41/83.53  <-> one addition multiplication(multiplication(A,B),multiplication(C,zero))
% 83.41/83.53  Current number of equations to process: 2871
% 83.41/83.53  Current number of ordered equations: 1
% 83.41/83.53  Current number of rules: 1268
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1394]
% 83.41/83.53  one addition multiplication(multiplication(A,B),multiplication(C,zero)) <->
% 83.41/83.53  strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero))))
% 83.41/83.53  Current number of equations to process: 2871
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1269
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1395]
% 83.41/83.53  strong_iteration(A) addition multiplication(strong_iteration(A),A) ->
% 83.41/83.53  strong_iteration(A)
% 83.41/83.53  Current number of equations to process: 2974
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1270
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1396]
% 83.41/83.53  star(A) addition multiplication(strong_iteration(B),B) ->
% 83.41/83.53  strong_iteration(B) addition star(A)
% 83.41/83.53  Current number of equations to process: 2997
% 83.41/83.53  Current number of ordered equations: 0
% 83.41/83.53  Current number of rules: 1271
% 83.41/83.53  New rule produced :
% 83.41/83.53  [1397]
% 83.41/83.53  strong_iteration(A) addition multiplication(strong_iteration(B),B) ->
% 83.41/83.53  strong_iteration(A) addition strong_iteration(B)
% 83.41/83.53  Rule
% 83.41/83.53  [1395]
% 83.41/83.53  strong_iteration(A) addition multiplication(strong_iteration(A),A) ->
% 83.41/83.53  strong_iteration(A) collapsed.
% 83.41/83.53  Current number of equations to process: 2996
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1271
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1398]
% 84.66/84.76  multiplication(A,multiplication(strong_iteration(B),B)) addition A ->
% 84.66/84.76  multiplication(A,strong_iteration(B))
% 84.66/84.76  Current number of equations to process: 2995
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1272
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1399]
% 84.66/84.76  multiplication(multiplication(strong_iteration(A),A),B) addition B ->
% 84.66/84.76  multiplication(strong_iteration(A),B)
% 84.66/84.76  Current number of equations to process: 2994
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1273
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1400]
% 84.66/84.76  ifeq3(strong_iteration(A),one,leq(multiplication(strong_iteration(A),A),one),true)
% 84.66/84.76  -> true
% 84.66/84.76  Current number of equations to process: 2992
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1274
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1401]
% 84.66/84.76  ifeq2(leq(multiplication(strong_iteration(A),A),one),true,strong_iteration(A),one)
% 84.66/84.76  -> one
% 84.66/84.76  Current number of equations to process: 2991
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1275
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1402] leq(multiplication(strong_iteration(A),A),strong_iteration(A)) -> true
% 84.66/84.76  Current number of equations to process: 2994
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1276
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1403]
% 84.66/84.76  leq(multiplication(strong_iteration(A),A),strong_iteration(A) addition B) ->
% 84.66/84.76  true
% 84.66/84.76  Current number of equations to process: 3023
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1277
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1404]
% 84.66/84.76  multiplication(strong_iteration(multiplication(A,star(A))),star(A)) ->
% 84.66/84.76  strong_iteration(multiplication(A,star(A)))
% 84.66/84.76  Current number of equations to process: 3024
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1278
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1405]
% 84.66/84.76  multiplication(strong_iteration(multiplication(star(A),A)),star(A)) ->
% 84.66/84.76  strong_iteration(multiplication(star(A),A))
% 84.66/84.76  Current number of equations to process: 3023
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1279
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1406]
% 84.66/84.76  multiplication(strong_iteration(multiplication(A,strong_iteration(A))),
% 84.66/84.76  strong_iteration(A)) ->
% 84.66/84.76  strong_iteration(multiplication(A,strong_iteration(A)))
% 84.66/84.76  Current number of equations to process: 3022
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1280
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1407]
% 84.66/84.76  multiplication(strong_iteration(strong_iteration(A)),strong_iteration(A)) ->
% 84.66/84.76  strong_iteration(strong_iteration(A))
% 84.66/84.76  Current number of equations to process: 3037
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1281
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1408]
% 84.66/84.76  multiplication(strong_iteration(star(A)),star(A)) ->
% 84.66/84.76  strong_iteration(star(A))
% 84.66/84.76  Current number of equations to process: 3038
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1282
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1409]
% 84.66/84.76  strong_iteration(A) addition multiplication(multiplication(A,strong_iteration(A)),A)
% 84.66/84.76  -> strong_iteration(A)
% 84.66/84.76  Current number of equations to process: 3097
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1283
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1410]
% 84.66/84.76  multiplication(strong_iteration(A),star(star(star(A)))) ->
% 84.66/84.76  strong_iteration(A) addition star(star(star(A)))
% 84.66/84.76  Current number of equations to process: 3096
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1284
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1411]
% 84.66/84.76  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition B)
% 84.66/84.76  -> true
% 84.66/84.76  Current number of equations to process: 3097
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1285
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1412]
% 84.66/84.76  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 84.66/84.76                                       star(B))) -> true
% 84.66/84.76  Current number of equations to process: 3094
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1286
% 84.66/84.76  New rule produced :
% 84.66/84.76  [1413]
% 84.66/84.76  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 84.66/84.76                                       strong_iteration(B))) -> true
% 84.66/84.76  Current number of equations to process: 3093
% 84.66/84.76  Current number of ordered equations: 0
% 84.66/84.76  Current number of rules: 1287
% 84.66/84.76  New rule produced :
% 85.37/85.49  [1414]
% 85.37/85.49  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(
% 85.37/85.49                                                              strong_iteration(A),A)))
% 85.37/85.49  -> true
% 85.37/85.49  Current number of equations to process: 3092
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1288
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1415]
% 85.37/85.49  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 85.37/85.49                                       multiplication(strong_iteration(A),A)))
% 85.37/85.49  -> true
% 85.37/85.49  Current number of equations to process: 3091
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1289
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1416]
% 85.37/85.49  multiplication(star(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 85.37/85.49  -> multiplication(multiplication(A,B),multiplication(C,zero))
% 85.37/85.49  Current number of equations to process: 3089
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1290
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1417]
% 85.37/85.49  multiplication(strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 85.37/85.49  -> multiplication(multiplication(A,B),multiplication(C,zero))
% 85.37/85.49  Current number of equations to process: 3088
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1291
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1418]
% 85.37/85.49  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition B addition C)
% 85.37/85.49  -> true
% 85.37/85.49  Current number of equations to process: 3087
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1292
% 85.37/85.49  Rule [226]
% 85.37/85.49       multiplication(strong_iteration(A),star(star(A))) ->
% 85.37/85.49       star(star(A)) addition multiplication(strong_iteration(A),zero) is composed into 
% 85.37/85.49  [226]
% 85.37/85.49  multiplication(strong_iteration(A),star(star(A))) ->
% 85.37/85.49  strong_iteration(A) addition star(star(A))
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1419]
% 85.37/85.49  star(star(A)) addition multiplication(strong_iteration(A),zero) ->
% 85.37/85.49  strong_iteration(A) addition star(star(A))
% 85.37/85.49  Current number of equations to process: 3102
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1293
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1420]
% 85.37/85.49  multiplication(strong_iteration(A),star(strong_iteration(star(A)))) ->
% 85.37/85.49  strong_iteration(A) addition star(strong_iteration(star(A)))
% 85.37/85.49  Current number of equations to process: 3107
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1294
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1421]
% 85.37/85.49  star(star(A)) addition multiplication(strong_iteration(A),star(A)) ->
% 85.37/85.49  strong_iteration(A) addition star(star(A))
% 85.37/85.49  Current number of equations to process: 3108
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1295
% 85.37/85.49  Rule [227]
% 85.37/85.49       multiplication(strong_iteration(A),strong_iteration(star(A))) ->
% 85.37/85.49       strong_iteration(star(A)) addition multiplication(strong_iteration(A),zero) is composed into 
% 85.37/85.49  [227]
% 85.37/85.49  multiplication(strong_iteration(A),strong_iteration(star(A))) ->
% 85.37/85.49  strong_iteration(star(A)) addition strong_iteration(A)
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1422]
% 85.37/85.49  strong_iteration(star(A)) addition multiplication(strong_iteration(A),zero)
% 85.37/85.49  -> strong_iteration(star(A)) addition strong_iteration(A)
% 85.37/85.49  Current number of equations to process: 3120
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1296
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1423]
% 85.37/85.49  multiplication(strong_iteration(A),A) addition multiplication(star(B),
% 85.37/85.49                                                 star(C)) ->
% 85.37/85.49  strong_iteration(A) addition multiplication(star(B),star(C))
% 85.37/85.49  Current number of equations to process: 3125
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1297
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1424]
% 85.37/85.49  multiplication(strong_iteration(A),star(B)) addition multiplication(strong_iteration(C),C)
% 85.37/85.49  -> strong_iteration(C) addition multiplication(strong_iteration(A),star(B))
% 85.37/85.49  Current number of equations to process: 3124
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1298
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1425]
% 85.37/85.49  multiplication(strong_iteration(A),A) addition multiplication(star(B),
% 85.37/85.49                                                 strong_iteration(C)) ->
% 85.37/85.49  strong_iteration(A) addition multiplication(star(B),strong_iteration(C))
% 85.37/85.49  Current number of equations to process: 3123
% 85.37/85.49  Current number of ordered equations: 0
% 85.37/85.49  Current number of rules: 1299
% 85.37/85.49  New rule produced :
% 85.37/85.49  [1426]
% 85.37/85.49  multiplication(strong_iteration(A),strong_iteration(B)) addition multiplication(
% 85.70/85.82                                                                   strong_iteration(C),C)
% 85.70/85.82  ->
% 85.70/85.82  strong_iteration(C) addition multiplication(strong_iteration(A),strong_iteration(B))
% 85.70/85.82  Current number of equations to process: 3122
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1300
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1427]
% 85.70/85.82  multiplication(strong_iteration(A),multiplication(star(star(A)),B)) ->
% 85.70/85.82  multiplication(strong_iteration(A),zero) addition multiplication(star(
% 85.70/85.82                                                                   star(A)),B)
% 85.70/85.82  Current number of equations to process: 3121
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1301
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1428]
% 85.70/85.82  multiplication(multiplication(A,strong_iteration(B)),star(star(B))) ->
% 85.70/85.82  multiplication(A,strong_iteration(B)) addition multiplication(A,star(star(B)))
% 85.70/85.82  Current number of equations to process: 3119
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1302
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1429]
% 85.70/85.82  multiplication(strong_iteration(A),multiplication(strong_iteration(star(A)),B))
% 85.70/85.82  ->
% 85.70/85.82  multiplication(strong_iteration(star(A)),B) addition multiplication(strong_iteration(A),zero)
% 85.70/85.82  Current number of equations to process: 3118
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1303
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1430]
% 85.70/85.82  multiplication(multiplication(A,strong_iteration(B)),strong_iteration(
% 85.70/85.82                                                       star(B))) ->
% 85.70/85.82  multiplication(A,strong_iteration(star(B))) addition multiplication(A,
% 85.70/85.82                                                       strong_iteration(B))
% 85.70/85.82  Current number of equations to process: 3116
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1304
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1431]
% 85.70/85.82  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(C),
% 85.70/85.82                                        multiplication(A,V_3)) addition B) ->
% 85.70/85.82  true
% 85.70/85.82  Current number of equations to process: 3115
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1305
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1432]
% 85.70/85.82  multiplication(strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero)))),V_3)
% 85.70/85.82  -> multiplication(multiplication(A,B),multiplication(C,zero)) addition V_3
% 85.70/85.82  Rule
% 85.70/85.82  [1417]
% 85.70/85.82  multiplication(strong_iteration(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 85.70/85.82  -> multiplication(multiplication(A,B),multiplication(C,zero)) collapsed.
% 85.70/85.82  Current number of equations to process: 3114
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1305
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1433]
% 85.70/85.82  multiplication(star(multiplication(A,multiplication(B,multiplication(C,zero)))),V_3)
% 85.70/85.82  -> multiplication(multiplication(A,B),multiplication(C,zero)) addition V_3
% 85.70/85.82  Rule
% 85.70/85.82  [1416]
% 85.70/85.82  multiplication(star(multiplication(A,multiplication(B,multiplication(C,zero)))),zero)
% 85.70/85.82  -> multiplication(multiplication(A,B),multiplication(C,zero)) collapsed.
% 85.70/85.82  Current number of equations to process: 3113
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1305
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1434]
% 85.70/85.82  ifeq3(strong_iteration(A),multiplication(strong_iteration(A),A),leq(one,
% 85.70/85.82                                                                  multiplication(
% 85.70/85.82                                                                  strong_iteration(A),A)),true)
% 85.70/85.82  -> true
% 85.70/85.82  Current number of equations to process: 3111
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1306
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1435]
% 85.70/85.82  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),A),
% 85.70/85.82                               star(B)) ->
% 85.70/85.82  one addition multiplication(multiplication(strong_iteration(A),A),star(B))
% 85.70/85.82  Current number of equations to process: 3110
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1307
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1436]
% 85.70/85.82  strong_iteration(B) addition multiplication(star(A),multiplication(strong_iteration(B),B))
% 85.70/85.82  -> one addition multiplication(star(A),multiplication(strong_iteration(B),B))
% 85.70/85.82  Current number of equations to process: 3109
% 85.70/85.82  Current number of ordered equations: 0
% 85.70/85.82  Current number of rules: 1308
% 85.70/85.82  New rule produced :
% 85.70/85.82  [1437]
% 85.70/85.82  strong_iteration(A) addition multiplication(multiplication(strong_iteration(A),A),
% 91.45/91.58                               strong_iteration(B)) ->
% 91.45/91.58  one addition multiplication(multiplication(strong_iteration(A),A),strong_iteration(B))
% 91.45/91.58  Current number of equations to process: 3108
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1309
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1438]
% 91.45/91.58  strong_iteration(B) addition multiplication(strong_iteration(A),multiplication(
% 91.45/91.58                                                                  strong_iteration(B),B))
% 91.45/91.58  ->
% 91.45/91.58  one addition multiplication(strong_iteration(A),multiplication(strong_iteration(B),B))
% 91.45/91.58  Current number of equations to process: 3107
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1310
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1439]
% 91.45/91.58  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 91.45/91.58                                       star(B)) addition C) -> true
% 91.45/91.58  Current number of equations to process: 3105
% 91.45/91.58  Current number of ordered equations: 1
% 91.45/91.58  Current number of rules: 1311
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1440]
% 91.45/91.58  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 91.45/91.58                                                       multiplication(B,
% 91.45/91.58                                                       star(C))) -> true
% 91.45/91.58  Current number of equations to process: 3105
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1312
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1441]
% 91.45/91.58  leq(strong_iteration(A),one addition multiplication(multiplication(strong_iteration(A),A),
% 91.45/91.58                                       strong_iteration(B)) addition C) -> true
% 91.45/91.58  Current number of equations to process: 3103
% 91.45/91.58  Current number of ordered equations: 1
% 91.45/91.58  Current number of rules: 1313
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1442]
% 91.45/91.58  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 91.45/91.58                                                       multiplication(B,
% 91.45/91.58                                                       strong_iteration(C))) ->
% 91.45/91.58  true
% 91.45/91.58  Current number of equations to process: 3103
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1314
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1443]
% 91.45/91.58  leq(strong_iteration(A),one addition multiplication(star(B),multiplication(
% 91.45/91.58                                                              strong_iteration(A),A)) addition C)
% 91.45/91.58  -> true
% 91.45/91.58  Current number of equations to process: 3101
% 91.45/91.58  Current number of ordered equations: 1
% 91.45/91.58  Current number of rules: 1315
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1444]
% 91.45/91.58  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 91.45/91.58                                                       multiplication(star(C),B))
% 91.45/91.58  -> true
% 91.45/91.58  Current number of equations to process: 3101
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1316
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1445]
% 91.45/91.58  leq(strong_iteration(A),one addition multiplication(strong_iteration(B),
% 91.45/91.58                                       multiplication(strong_iteration(A),A)) addition C)
% 91.45/91.58  -> true
% 91.45/91.58  Current number of equations to process: 3099
% 91.45/91.58  Current number of ordered equations: 1
% 91.45/91.58  Current number of rules: 1317
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1446]
% 91.45/91.58  leq(multiplication(strong_iteration(A),A) addition B,strong_iteration(A) addition 
% 91.45/91.58                                                       multiplication(strong_iteration(C),B))
% 91.45/91.58  -> true
% 91.45/91.58  Current number of equations to process: 3099
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1318
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1447]
% 91.45/91.58  leq(multiplication(A,star(A)) addition B,strong_iteration(A) addition B) ->
% 91.45/91.58  true
% 91.45/91.58  Current number of equations to process: 3242
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1319
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1448]
% 91.45/91.58  leq(multiplication(A,star(A)) addition B,strong_iteration(A) addition B addition C)
% 91.45/91.58  -> true
% 91.45/91.58  Current number of equations to process: 3264
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1320
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1449]
% 91.45/91.58  leq(multiplication(star(A),A) addition B,strong_iteration(A) addition B) ->
% 91.45/91.58  true
% 91.45/91.58  Current number of equations to process: 3490
% 91.45/91.58  Current number of ordered equations: 0
% 91.45/91.58  Current number of rules: 1321
% 91.45/91.58  New rule produced :
% 91.45/91.58  [1450]
% 91.45/91.58  leq(multiplication(A,zero) addition multiplication(B,star(B)),star(B) addition A)
% 97.94/98.07  -> true
% 97.94/98.07  Current number of equations to process: 3512
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1322
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1451]
% 97.94/98.07  leq(multiplication(star(A),A) addition B,strong_iteration(A) addition B addition C)
% 97.94/98.07  -> true
% 97.94/98.07  Current number of equations to process: 3511
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1323
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1452]
% 97.94/98.07  leq(multiplication(A,zero) addition multiplication(B,star(B)),star(A) addition 
% 97.94/98.07                                                                star(B)) ->
% 97.94/98.07  true
% 97.94/98.07  Current number of equations to process: 3510
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1324
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1453]
% 97.94/98.07  leq(multiplication(A,zero) addition multiplication(B,star(B)),strong_iteration(A) addition 
% 97.94/98.07                                                                star(B)) ->
% 97.94/98.07  true
% 97.94/98.07  Current number of equations to process: 3509
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1325
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1454]
% 97.94/98.07  leq(multiplication(A,star(A)) addition B,multiplication(star(C),strong_iteration(A)) addition B)
% 97.94/98.07  -> true
% 97.94/98.07  Current number of equations to process: 3508
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1326
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1455]
% 97.94/98.07  leq(multiplication(A,star(A)) addition B,multiplication(strong_iteration(C),
% 97.94/98.07                                           strong_iteration(A)) addition B) ->
% 97.94/98.07  true
% 97.94/98.07  Current number of equations to process: 3507
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1327
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1456]
% 97.94/98.07  leq(multiplication(star(A),A) addition multiplication(B,zero),star(A) addition B)
% 97.94/98.07  -> true
% 97.94/98.07  Current number of equations to process: 3755
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1328
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1457]
% 97.94/98.07  leq(multiplication(star(A),A) addition multiplication(B,zero),star(A) addition 
% 97.94/98.07                                                                star(B)) ->
% 97.94/98.07  true
% 97.94/98.07  Current number of equations to process: 3754
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1329
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1458]
% 97.94/98.07  leq(multiplication(star(A),A) addition multiplication(B,zero),strong_iteration(B) addition 
% 97.94/98.07                                                                star(A)) ->
% 97.94/98.07  true
% 97.94/98.07  Current number of equations to process: 3753
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1330
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1459]
% 97.94/98.07  leq(multiplication(star(A),A) addition B,multiplication(star(C),strong_iteration(A)) addition B)
% 97.94/98.07  -> true
% 97.94/98.07  Current number of equations to process: 3752
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1331
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1460]
% 97.94/98.07  leq(multiplication(star(A),A) addition B,multiplication(strong_iteration(C),
% 97.94/98.07                                           strong_iteration(A)) addition B) ->
% 97.94/98.07  true
% 97.94/98.07  Current number of equations to process: 3751
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1332
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1461]
% 97.94/98.07  leq(multiplication(A,zero) addition multiplication(B,strong_iteration(B)),
% 97.94/98.07  strong_iteration(B) addition A) -> true
% 97.94/98.07  Current number of equations to process: 3988
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1333
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1462]
% 97.94/98.07  leq(multiplication(A,zero) addition multiplication(B,strong_iteration(B)),
% 97.94/98.07  strong_iteration(B) addition star(A)) -> true
% 97.94/98.07  Current number of equations to process: 3987
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1334
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1463]
% 97.94/98.07  leq(multiplication(A,zero) addition multiplication(B,strong_iteration(B)),
% 97.94/98.07  strong_iteration(A) addition strong_iteration(B)) -> true
% 97.94/98.07  Current number of equations to process: 3986
% 97.94/98.07  Current number of ordered equations: 0
% 97.94/98.07  Current number of rules: 1335
% 97.94/98.07  Rule [1218]
% 97.94/98.07       multiplication(star(A),multiplication(B,C)) <->
% 97.94/98.07       multiplication(multiplication(star(A),B),C) addition multiplication(B,zero) is composed into 
% 97.94/98.07  [1218]
% 97.94/98.07  multiplication(star(A),multiplication(B,C)) <->
% 97.94/98.07  multiplication(multiplication(star(A),B),C)
% 97.94/98.07  New rule produced :
% 97.94/98.07  [1464]
% 97.94/98.07  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 97.94/98.07  -> multiplication(multiplication(star(A),B),C)
% 100.11/100.24  Rule
% 100.11/100.24  [1217]
% 100.11/100.24  multiplication(multiplication(star(A),B),C) addition multiplication(B,zero)
% 100.11/100.24  <-> multiplication(star(A),multiplication(B,C)) collapsed.
% 100.11/100.24  Current number of equations to process: 4096
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1335
% 100.11/100.24  Rule [1365]
% 100.11/100.24       multiplication(strong_iteration(A),multiplication(B,C)) <->
% 100.11/100.24       multiplication(multiplication(strong_iteration(A),B),C) addition 
% 100.11/100.24       multiplication(B,zero) is composed into [1365]
% 100.11/100.24                                               multiplication(strong_iteration(A),
% 100.11/100.24                                               multiplication(B,C)) <->
% 100.11/100.24                                               multiplication(multiplication(
% 100.11/100.24                                                              strong_iteration(A),B),C)
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1465]
% 100.11/100.24  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 100.11/100.24  -> multiplication(multiplication(strong_iteration(A),B),C)
% 100.11/100.24  Rule
% 100.11/100.24  [1366]
% 100.11/100.24  multiplication(multiplication(strong_iteration(A),B),C) addition multiplication(B,zero)
% 100.11/100.24  <-> multiplication(strong_iteration(A),multiplication(B,C)) collapsed.
% 100.11/100.24  Current number of equations to process: 4095
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1335
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1466]
% 100.11/100.24  leq(multiplication(A,zero),multiplication(multiplication(star(B),A),C)) ->
% 100.11/100.24  true
% 100.11/100.24  Current number of equations to process: 4118
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1336
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1467]
% 100.11/100.24  leq(multiplication(A,zero),multiplication(multiplication(star(B),A),C) addition V_3)
% 100.11/100.24  -> true
% 100.11/100.24  Current number of equations to process: 4123
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1337
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1468]
% 100.11/100.24  leq(multiplication(A,zero),multiplication(multiplication(strong_iteration(B),A),C))
% 100.11/100.24  -> true
% 100.11/100.24  Current number of equations to process: 4142
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1338
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1469]
% 100.11/100.24  leq(multiplication(A,zero),multiplication(multiplication(strong_iteration(B),A),C) addition V_3)
% 100.11/100.24  -> true
% 100.11/100.24  Current number of equations to process: 4143
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1339
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1470]
% 100.11/100.24  leq(multiplication(A,multiplication(B,zero)),multiplication(A,B)) -> true
% 100.11/100.24  Rule
% 100.11/100.24  [363]
% 100.11/100.24  leq(multiplication(A,multiplication(strong_iteration(B),zero)),multiplication(A,
% 100.11/100.24                                                                 strong_iteration(B)))
% 100.11/100.24  -> true collapsed.
% 100.11/100.24  Current number of equations to process: 4152
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1339
% 100.11/100.24  Rule [238]
% 100.11/100.24       multiplication(multiplication(A,B),C) <->
% 100.11/100.24       multiplication(multiplication(A,B),zero) addition multiplication(A,
% 100.11/100.24                                                         multiplication(B,C)) is composed into 
% 100.11/100.24  [238]
% 100.11/100.24  multiplication(multiplication(A,B),C) <->
% 100.11/100.24  multiplication(A,multiplication(B,C))
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1471]
% 100.11/100.24  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 100.11/100.24  -> multiplication(A,multiplication(B,C))
% 100.11/100.24  Rule
% 100.11/100.24  [239]
% 100.11/100.24  multiplication(multiplication(A,B),zero) addition multiplication(A,multiplication(B,C))
% 100.11/100.24  <-> multiplication(multiplication(A,B),C) collapsed.
% 100.11/100.24  Current number of equations to process: 4173
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1339
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1472]
% 100.11/100.24  leq(multiplication(A,zero) addition B,multiplication(multiplication(star(C),A),V_3) addition B)
% 100.11/100.24  -> true
% 100.11/100.24  Current number of equations to process: 4172
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1340
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1473]
% 100.11/100.24  leq(multiplication(A,zero) addition B,multiplication(multiplication(strong_iteration(C),A),V_3) addition B)
% 100.11/100.24  -> true
% 100.11/100.24  Current number of equations to process: 4171
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1341
% 100.11/100.24  New rule produced :
% 100.11/100.24  [1474]
% 100.11/100.24  leq(multiplication(A,multiplication(B,zero)),multiplication(A,multiplication(B,C)))
% 100.11/100.24  -> true
% 100.11/100.24  Current number of equations to process: 4280
% 100.11/100.24  Current number of ordered equations: 0
% 100.11/100.24  Current number of rules: 1342
% 100.11/100.24  New rule produced :
% 106.62/106.72  [1475]
% 106.62/106.72  leq(multiplication(A,multiplication(B,zero)),multiplication(A,multiplication(B,C)) addition V_3)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4279
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1343
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1476]
% 106.62/106.72  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 106.62/106.72                                                          star(B)) addition C)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4554
% 106.62/106.72  Current number of ordered equations: 1
% 106.62/106.72  Current number of rules: 1344
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1477]
% 106.62/106.72  leq(multiplication(multiplication(A,B),zero) addition C,multiplication(A,
% 106.62/106.72                                                          star(B)) addition C)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4554
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1345
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1478]
% 106.62/106.72  leq(multiplication(A,zero) addition B,multiplication(star(A),B) addition C)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4757
% 106.62/106.72  Current number of ordered equations: 1
% 106.62/106.72  Current number of rules: 1346
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1479]
% 106.62/106.72  leq(multiplication(A,zero) addition B,multiplication(star(A),C) addition B)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4757
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1347
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1480]
% 106.62/106.72  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),B) addition C)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4807
% 106.62/106.72  Current number of ordered equations: 1
% 106.62/106.72  Current number of rules: 1348
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1481]
% 106.62/106.72  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),C) addition B)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4807
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1349
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1482] leq(multiplication(multiplication(A,A),star(A)),star(A)) -> true
% 106.62/106.72  Current number of equations to process: 4858
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1350
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1483]
% 106.62/106.72  leq(multiplication(multiplication(A,A),star(A)),star(A) addition B) -> true
% 106.62/106.72  Current number of equations to process: 4859
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1351
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1484]
% 106.62/106.72  leq(multiplication(A,zero) addition multiplication(B,zero),multiplication(B,C) addition A)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4857
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1352
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1485]
% 106.62/106.72  leq(multiplication(multiplication(A,B),multiplication(B,star(B))),multiplication(A,
% 106.62/106.72                                                                    star(B)))
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4856
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1353
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1486]
% 106.62/106.72  leq(multiplication(A,zero) addition multiplication(B,zero),star(A) addition 
% 106.62/106.72                                                             multiplication(B,C))
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4855
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1354
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1487]
% 106.62/106.72  leq(multiplication(A,zero) addition multiplication(B,zero),strong_iteration(A) addition 
% 106.62/106.72                                                             multiplication(B,C))
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4854
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1355
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1488]
% 106.62/106.72  leq(one addition multiplication(star(A),zero),multiplication(star(A),star(B)) addition C)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4853
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1356
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1489]
% 106.62/106.72  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 106.62/106.72                                                            strong_iteration(A),
% 106.62/106.72                                                            star(B)) addition C)
% 106.62/106.72  -> true
% 106.62/106.72  Current number of equations to process: 4852
% 106.62/106.72  Current number of ordered equations: 0
% 106.62/106.72  Current number of rules: 1357
% 106.62/106.72  New rule produced :
% 106.62/106.72  [1490]
% 106.62/106.72  leq(multiplication(multiplication(A,B),zero) addition A,multiplication(A,
% 106.62/106.72                                                          strong_iteration(B)) addition C)
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4850
% 107.48/107.60  Current number of ordered equations: 1
% 107.48/107.60  Current number of rules: 1358
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1491]
% 107.48/107.60  leq(multiplication(multiplication(A,B),zero) addition C,multiplication(A,
% 107.48/107.60                                                          strong_iteration(B)) addition C)
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4850
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1359
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1492]
% 107.48/107.60  leq(one addition multiplication(star(A),zero),multiplication(star(A),
% 107.48/107.60                                                strong_iteration(B)) addition C)
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4849
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1360
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1493]
% 107.48/107.60  leq(one addition multiplication(strong_iteration(A),zero),multiplication(
% 107.48/107.60                                                            strong_iteration(A),
% 107.48/107.60                                                            strong_iteration(B)) addition C)
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4848
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1361
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1494]
% 107.48/107.60  leq(multiplication(A,zero) addition B,multiplication(star(A),C) addition B addition V_3)
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4847
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1362
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1495]
% 107.48/107.60  leq(multiplication(A,zero) addition B,multiplication(strong_iteration(A),C) addition B addition V_3)
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4846
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1363
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1496]
% 107.48/107.60  leq(multiplication(A,multiplication(B,star(B))),multiplication(multiplication(A,
% 107.48/107.60                                                                 star(B)),
% 107.48/107.60                                                  star(C))) -> true
% 107.48/107.60  Current number of equations to process: 4845
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1364
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1497]
% 107.48/107.60  leq(multiplication(A,multiplication(B,star(B))),multiplication(strong_iteration(C),
% 107.48/107.60                                                  multiplication(A,star(B))))
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4843
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1365
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1498]
% 107.48/107.60  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,strong_iteration(B)))
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4865
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1366
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1499]
% 107.48/107.60  leq(multiplication(A,multiplication(B,star(B))),multiplication(A,strong_iteration(B)) addition C)
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4864
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1367
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1500]
% 107.48/107.60  leq(multiplication(A,multiplication(B,star(B))),multiplication(multiplication(A,
% 107.48/107.60                                                                 star(B)),
% 107.48/107.60                                                  strong_iteration(C))) -> true
% 107.48/107.60  Current number of equations to process: 4863
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1368
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1501]
% 107.48/107.60  leq(multiplication(A,multiplication(B,star(B))),multiplication(star(C),
% 107.48/107.60                                                  multiplication(A,star(B))))
% 107.48/107.60  -> true
% 107.48/107.60  Current number of equations to process: 4862
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1369
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1502] leq(multiplication(A,multiplication(star(A),A)),star(A)) -> true
% 107.48/107.60  Current number of equations to process: 4892
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1370
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1503]
% 107.48/107.60  leq(multiplication(A,multiplication(star(A),A)),star(A) addition B) -> true
% 107.48/107.60  Current number of equations to process: 4893
% 107.48/107.60  Current number of ordered equations: 0
% 107.48/107.60  Current number of rules: 1371
% 107.48/107.60  New rule produced :
% 107.48/107.60  [1504]
% 107.48/107.60  leq(multiplication(multiplication(A,B),multiplication(star(B),B)),multiplication(A,
% 107.48/107.60                                                                    star(B)))
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4891
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1372
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1505]
% 108.49/108.61  leq(multiplication(A,multiplication(star(B),B)),multiplication(multiplication(A,
% 108.49/108.61                                                                 star(B)),
% 108.49/108.61                                                  star(C))) -> true
% 108.49/108.61  Current number of equations to process: 4890
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1373
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1506]
% 108.49/108.61  leq(multiplication(A,multiplication(star(B),B)),multiplication(strong_iteration(C),
% 108.49/108.61                                                  multiplication(A,star(B))))
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4888
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1374
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1507]
% 108.49/108.61  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,strong_iteration(B)))
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4908
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1375
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1508]
% 108.49/108.61  leq(multiplication(A,multiplication(star(B),B)),multiplication(A,strong_iteration(B)) addition C)
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4907
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1376
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1509]
% 108.49/108.61  leq(multiplication(A,multiplication(star(B),B)),multiplication(multiplication(A,
% 108.49/108.61                                                                 star(B)),
% 108.49/108.61                                                  strong_iteration(C))) -> true
% 108.49/108.61  Current number of equations to process: 4906
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1377
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1510]
% 108.49/108.61  leq(multiplication(A,multiplication(star(B),B)),multiplication(star(C),
% 108.49/108.61                                                  multiplication(A,star(B))))
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4905
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1378
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1511]
% 108.49/108.61  leq(multiplication(multiplication(A,A),strong_iteration(A)),strong_iteration(A))
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4931
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1379
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1512]
% 108.49/108.61  leq(multiplication(multiplication(A,A),strong_iteration(A)),strong_iteration(A) addition B)
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4932
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1380
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1513]
% 108.49/108.61  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.49/108.61                                                              multiplication(A,
% 108.49/108.61                                                              strong_iteration(B)),
% 108.49/108.61                                                              star(C))) -> true
% 108.49/108.61  Current number of equations to process: 4931
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1381
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1514]
% 108.49/108.61  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.49/108.61                                                              strong_iteration(C),
% 108.49/108.61                                                              multiplication(A,
% 108.49/108.61                                                              strong_iteration(B))))
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4930
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1382
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1515]
% 108.49/108.61  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.49/108.61                                                              multiplication(A,
% 108.49/108.61                                                              strong_iteration(B)),
% 108.49/108.61                                                              strong_iteration(C)))
% 108.49/108.61  -> true
% 108.49/108.61  Current number of equations to process: 4950
% 108.49/108.61  Current number of ordered equations: 0
% 108.49/108.61  Current number of rules: 1383
% 108.49/108.61  New rule produced :
% 108.49/108.61  [1516]
% 108.49/108.61  leq(multiplication(A,multiplication(B,strong_iteration(B))),multiplication(
% 108.49/108.61                                                              star(C),multiplication(A,
% 108.49/108.61                                                                      strong_iteration(B))))
% 109.97/110.08  -> true
% 109.97/110.08  Current number of equations to process: 4949
% 109.97/110.08  Current number of ordered equations: 0
% 109.97/110.08  Current number of rules: 1384
% 109.97/110.08  New rule produced :
% 109.97/110.08  [1517]
% 109.97/110.08  leq(multiplication(multiplication(A,star(A)),A),star(A) addition B) -> true
% 109.97/110.08  Current number of equations to process: 4970
% 109.97/110.08  Current number of ordered equations: 0
% 109.97/110.08  Current number of rules: 1385
% 109.97/110.08  New rule produced :
% 109.97/110.08  [1518] leq(multiplication(multiplication(A,star(A)),A),star(A)) -> true
% 109.97/110.08  Current number of equations to process: 4972
% 109.97/110.08  Current number of ordered equations: 0
% 109.97/110.08  Current number of rules: 1386
% 109.97/110.08  New rule produced :
% 109.97/110.08  [1519]
% 109.97/110.08  leq(multiplication(multiplication(A,B),multiplication(B,strong_iteration(B))),
% 109.97/110.08  multiplication(A,strong_iteration(B))) -> true
% 109.97/110.08  Current number of equations to process: 4974
% 109.97/110.08  Current number of ordered equations: 0
% 109.97/110.08  Current number of rules: 1387
% 109.97/110.08  New rule produced :
% 109.97/110.08  [1520]
% 109.97/110.08  leq(multiplication(multiplication(A,star(A)),B),multiplication(multiplication(
% 109.97/110.08                                                                 star(A),B),
% 109.97/110.08                                                  star(C))) -> true
% 109.98/110.08  Current number of equations to process: 4973
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1388
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1521]
% 109.98/110.08  leq(multiplication(multiplication(A,star(A)),B),multiplication(strong_iteration(C),
% 109.98/110.08                                                  multiplication(star(A),B)))
% 109.98/110.08  -> true
% 109.98/110.08  Current number of equations to process: 4971
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1389
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1522]
% 109.98/110.08  leq(multiplication(multiplication(A,star(A)),star(B)),multiplication(
% 109.98/110.08                                                        star(A),strong_iteration(B)))
% 109.98/110.08  -> true
% 109.98/110.08  Current number of equations to process: 4995
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1390
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1523]
% 109.98/110.08  leq(multiplication(multiplication(A,star(A)),B),multiplication(multiplication(
% 109.98/110.08                                                                 star(A),B),
% 109.98/110.08                                                  strong_iteration(C))) -> true
% 109.98/110.08  Current number of equations to process: 4994
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1391
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1524]
% 109.98/110.08  leq(multiplication(multiplication(A,star(A)),B),multiplication(star(C),
% 109.98/110.08                                                  multiplication(star(A),B)))
% 109.98/110.08  -> true
% 109.98/110.08  Current number of equations to process: 4993
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1392
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1525]
% 109.98/110.08  leq(multiplication(star(A),multiplication(A,A)),star(A) addition star(B)) ->
% 109.98/110.08  true
% 109.98/110.08  Current number of equations to process: 2734
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1393
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1526]
% 109.98/110.08  leq(multiplication(multiplication(A,star(A)),multiplication(A,B)),multiplication(
% 109.98/110.08                                                                    star(A),B))
% 109.98/110.08  -> true
% 109.98/110.08  Current number of equations to process: 2733
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1394
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1527]
% 109.98/110.08  leq(multiplication(multiplication(star(A),A),B),multiplication(multiplication(
% 109.98/110.08                                                                 star(A),B),
% 109.98/110.08                                                  star(C))) -> true
% 109.98/110.08  Current number of equations to process: 2732
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1395
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1528]
% 109.98/110.08  leq(multiplication(star(A),multiplication(A,A)),star(A) addition star(B) addition C)
% 109.98/110.08  -> true
% 109.98/110.08  Current number of equations to process: 2731
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1396
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1529]
% 109.98/110.08  leq(multiplication(multiplication(star(A),A),B),multiplication(strong_iteration(C),
% 109.98/110.08                                                  multiplication(star(A),B)))
% 109.98/110.08  -> true
% 109.98/110.08  Current number of equations to process: 2730
% 109.98/110.08  Current number of ordered equations: 0
% 109.98/110.08  Current number of rules: 1397
% 109.98/110.08  New rule produced :
% 109.98/110.08  [1530]
% 109.98/110.08  leq(multiplication(multiplication(star(A),A),star(B)),multiplication(
% 109.98/110.08                                                        star(A),strong_iteration(B)))
% 109.98/110.08  -> true
% 109.98/110.08  Current nuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------