TSTP Solution File: KLE110-10 by CiME---2.01

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%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : KLE110-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n187.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.5MB
% OS       : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 13:06:57 EST 2019

% Result   : Timeout 287.91s
% 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  : KLE110-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04  % Command  : tptp2X_and_run_cime %s
% 0.03/0.24  % Computer : n187.star.cs.uiowa.edu
% 0.03/0.24  % Model    : x86_64 x86_64
% 0.03/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24  % Memory   : 32218.5MB
% 0.03/0.24  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.24  % CPULimit : 300
% 0.03/0.25  % DateTime : Thu Feb 21 04:37:31 CST 2019
% 0.03/0.25  % CPUTime  : 
% 1.17/1.45  Processing problem /tmp/CiME_50658_n187.star.cs.uiowa.edu
% 1.17/1.45  #verbose 1;
% 1.17/1.45                let F = signature "  addition : AC; sK1_goals_X1,sK2_goals_X0,true,one,zero : constant;  backward_box : 2;  forward_box : 2;  backward_diamond : 2;  forward_diamond : 2;  domain_difference : 2;  c : 1;  codomain : 1;  coantidomain : 1;  domain : 1;  antidomain : 1;  leq : 2;  multiplication : 2;  ifeq : 4;  ifeq2 : 4;";
% 1.17/1.45  let X = vars "A B C X0 X1";
% 1.17/1.45  let Axioms = equations F X "
% 1.17/1.45   multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C));
% 1.17/1.45   ifeq2(A,A,B,C) = B;
% 1.17/1.45   ifeq(A,A,B,C) = B;
% 1.17/1.45   A addition zero = A;
% 1.17/1.45   A addition A = A;
% 1.17/1.45   multiplication(A,one) = A;
% 1.17/1.45   multiplication(one,A) = A;
% 1.17/1.45   multiplication(A,B addition C) = multiplication(A,B) addition multiplication(A,C);
% 1.17/1.45   multiplication(A addition B,C) = multiplication(A,C) addition multiplication(B,C);
% 1.17/1.45   multiplication(A,zero) = zero;
% 1.17/1.45   multiplication(zero,A) = zero;
% 1.17/1.45   ifeq(leq(A,B),true,A addition B,B) = B;
% 1.17/1.45   ifeq2(A addition B,B,leq(A,B),true) = true;
% 1.17/1.45   multiplication(antidomain(X0),X0) = zero;
% 1.17/1.45   antidomain(multiplication(X0,X1)) addition antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1))));
% 1.17/1.45   antidomain(antidomain(X0)) addition antidomain(X0) = one;
% 1.17/1.45   domain(X0) = antidomain(antidomain(X0));
% 1.17/1.45   multiplication(X0,coantidomain(X0)) = zero;
% 1.17/1.45   coantidomain(multiplication(X0,X1)) addition coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1));
% 1.17/1.45   coantidomain(coantidomain(X0)) addition coantidomain(X0) = one;
% 1.17/1.45   codomain(X0) = coantidomain(coantidomain(X0));
% 1.17/1.45   c(X0) = antidomain(domain(X0));
% 1.17/1.45   domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1));
% 1.17/1.45   forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1)));
% 1.17/1.45   backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0));
% 1.17/1.45   forward_box(X0,X1) = c(forward_diamond(X0,c(X1)));
% 1.17/1.45   backward_box(X0,X1) = c(backward_diamond(X0,c(X1)));
% 1.17/1.45  ";
% 1.17/1.45  
% 1.17/1.45  let s1 = status F "
% 1.17/1.45   sK1_goals_X1 lr_lex;
% 1.17/1.45   sK2_goals_X0 lr_lex;
% 1.17/1.45   backward_box lr_lex;
% 1.17/1.45   forward_box lr_lex;
% 1.17/1.45   backward_diamond lr_lex;
% 1.17/1.45   forward_diamond lr_lex;
% 1.17/1.45   domain_difference lr_lex;
% 1.17/1.45   c lr_lex;
% 1.17/1.45   codomain lr_lex;
% 1.17/1.45   coantidomain lr_lex;
% 1.17/1.45   domain lr_lex;
% 1.17/1.45   antidomain lr_lex;
% 1.17/1.45   true lr_lex;
% 1.17/1.45   leq lr_lex;
% 1.17/1.45   one lr_lex;
% 1.17/1.45   zero lr_lex;
% 1.17/1.45   ifeq lr_lex;
% 1.17/1.45   ifeq2 lr_lex;
% 1.17/1.45   multiplication mul;
% 1.17/1.45   addition mul;
% 1.17/1.45  ";
% 1.17/1.45  
% 1.17/1.45  let p1 = precedence F "
% 1.17/1.45  domain_difference > forward_box > backward_box > ifeq2 > ifeq > multiplication > leq > forward_diamond > backward_diamond > antidomain > domain > coantidomain > codomain > c > addition > zero > one > true > sK2_goals_X0 > sK1_goals_X1";
% 1.17/1.45  
% 1.17/1.45  let s2 = status F "
% 1.17/1.45  sK1_goals_X1 mul;
% 1.17/1.45  sK2_goals_X0 mul;
% 1.17/1.45  backward_box mul;
% 1.17/1.45  forward_box mul;
% 1.17/1.45  backward_diamond mul;
% 1.17/1.45  forward_diamond mul;
% 1.17/1.45  domain_difference mul;
% 1.17/1.45  c mul;
% 1.17/1.45  codomain mul;
% 1.17/1.45  coantidomain mul;
% 1.17/1.45  domain mul;
% 1.17/1.45  antidomain mul;
% 1.17/1.45  true mul;
% 1.17/1.45  leq mul;
% 1.17/1.45  one mul;
% 1.17/1.45  multiplication mul;
% 1.17/1.45  zero mul;
% 1.17/1.45  addition mul;
% 1.17/1.45  ifeq mul;
% 1.17/1.45  ifeq2 mul;
% 1.17/1.45  ";
% 1.17/1.45  
% 1.17/1.45  let p2 = precedence F "
% 1.17/1.45  domain_difference > forward_box > backward_box > ifeq2 > ifeq > multiplication > leq > forward_diamond > backward_diamond > antidomain > domain > coantidomain > codomain > c > addition > zero = one = true = sK2_goals_X0 = sK1_goals_X1";
% 1.17/1.45  
% 1.17/1.45  let o_auto = AUTO Axioms;
% 1.17/1.45  
% 1.17/1.45  let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.17/1.45  
% 1.17/1.45  let Conjectures = equations F X " domain(sK2_goals_X0) addition backward_box(sK1_goals_X1,forward_diamond(sK1_goals_X1,domain(sK2_goals_X0))) = backward_box(sK1_goals_X1,forward_diamond(sK1_goals_X1,domain(sK2_goals_X0)));"
% 1.17/1.45  ;
% 1.17/1.45  (*
% 1.17/1.45  let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.17/1.45  
% 1.17/1.45  let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% 1.17/1.45  *)
% 1.17/1.45  #time on;
% 1.17/1.45  
% 1.17/1.45  let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.17/1.45  
% 1.17/1.45  #time off;
% 1.17/1.45  
% 1.17/1.45  
% 1.17/1.45  let status = if res then "unsatisfiable" else "satisfiable";
% 1.17/1.45  #quit;
% 1.17/1.45  Verbose level is now 1
% 1.17/1.45  
% 1.17/1.45  F : signature = <signature>
% 1.17/1.45  X : variable_set = <variable set>
% 1.17/1.45  
% 1.17/1.45  Axioms : (F,X) equations = { multiplication(multiplication(A,B),C) =
% 1.17/1.45                               multiplication(A,multiplication(B,C)),
% 1.17/1.45                               ifeq2(A,A,B,C) = B,
% 1.17/1.45                               ifeq(A,A,B,C) = B,
% 1.17/1.45                               zero addition A = A,
% 1.17/1.45                               A addition A = A,
% 1.17/1.45                               multiplication(A,one) = A,
% 1.17/1.45                               multiplication(one,A) = A,
% 1.17/1.45                               multiplication(A,B addition C) =
% 1.17/1.45                               multiplication(A,B) addition multiplication(A,C),
% 1.17/1.45                               multiplication(A addition B,C) =
% 1.17/1.45                               multiplication(A,C) addition multiplication(B,C),
% 1.17/1.45                               multiplication(A,zero) = zero,
% 1.17/1.45                               multiplication(zero,A) = zero,
% 1.17/1.45                               ifeq(leq(A,B),true,A addition B,B) = B,
% 1.17/1.45                               ifeq2(A addition B,B,leq(A,B),true) = true,
% 1.17/1.45                               multiplication(antidomain(X0),X0) = zero,
% 1.17/1.45                               antidomain(multiplication(X0,antidomain(
% 1.17/1.45                                                            antidomain(X1)))) addition 
% 1.17/1.45                               antidomain(multiplication(X0,X1)) =
% 1.17/1.45                               antidomain(multiplication(X0,antidomain(
% 1.17/1.45                                                            antidomain(X1)))),
% 1.17/1.45                               antidomain(antidomain(X0)) addition antidomain(X0)
% 1.17/1.45                               = one,
% 1.17/1.45                               domain(X0) = antidomain(antidomain(X0)),
% 1.17/1.45                               multiplication(X0,coantidomain(X0)) = zero,
% 1.17/1.45                               coantidomain(multiplication(coantidomain(
% 1.17/1.45                                                           coantidomain(X0)),X1)) addition 
% 1.17/1.45                               coantidomain(multiplication(X0,X1)) =
% 1.17/1.45                               coantidomain(multiplication(coantidomain(
% 1.17/1.45                                                           coantidomain(X0)),X1)),
% 1.17/1.45                               coantidomain(coantidomain(X0)) addition 
% 1.17/1.45                               coantidomain(X0) = one,
% 1.17/1.45                               codomain(X0) = coantidomain(coantidomain(X0)),
% 1.17/1.45                               c(X0) = antidomain(domain(X0)),
% 1.17/1.45                               domain_difference(X0,X1) =
% 1.17/1.45                               multiplication(domain(X0),antidomain(X1)),
% 1.17/1.45                               forward_diamond(X0,X1) =
% 1.17/1.45                               domain(multiplication(X0,domain(X1))),
% 1.17/1.45                               backward_diamond(X0,X1) =
% 1.17/1.45                               codomain(multiplication(codomain(X1),X0)),
% 1.17/1.45                               forward_box(X0,X1) =
% 1.17/1.45                               c(forward_diamond(X0,c(X1))),
% 1.17/1.45                               backward_box(X0,X1) =
% 1.17/1.45                               c(backward_diamond(X0,c(X1))) } (27 equation(s))
% 1.17/1.45  s1 : F status = <status>
% 1.17/1.45  p1 : F precedence = <precedence>
% 1.17/1.45  s2 : F status = <status>
% 1.17/1.45  p2 : F precedence = <precedence>
% 1.17/1.45  o_auto : F term_ordering = <term ordering>
% 1.17/1.45  o : F term_ordering = <term ordering>
% 1.17/1.45  Conjectures : (F,X) equations = { backward_box(sK1_goals_X1,forward_diamond(sK1_goals_X1,
% 1.17/1.45                                                              domain(sK2_goals_X0))) addition 
% 1.17/1.45                                    domain(sK2_goals_X0) =
% 1.17/1.45                                    backward_box(sK1_goals_X1,forward_diamond(sK1_goals_X1,
% 1.17/1.45                                                              domain(sK2_goals_X0))) }
% 1.17/1.45                                    (1 equation(s))
% 1.17/1.45  time is now on
% 1.17/1.45  
% 1.17/1.45  Initializing completion ...
% 1.17/1.45  New rule produced : [1] A addition A -> A
% 1.17/1.45  Current number of equations to process: 0
% 1.17/1.45  Current number of ordered equations: 27
% 1.17/1.45  Current number of rules: 1
% 1.17/1.45  New rule produced : [2] zero addition A -> A
% 1.17/1.45  Current number of equations to process: 0
% 1.17/1.45  Current number of ordered equations: 26
% 1.17/1.45  Current number of rules: 2
% 1.17/1.45  New rule produced : [3] multiplication(A,zero) -> zero
% 1.17/1.45  Current number of equations to process: 0
% 1.17/1.45  Current number of ordered equations: 25
% 1.17/1.45  Current number of rules: 3
% 1.17/1.45  New rule produced : [4] multiplication(A,one) -> A
% 1.17/1.45  Current number of equations to process: 0
% 1.17/1.45  Current number of ordered equations: 24
% 1.17/1.45  Current number of rules: 4
% 1.19/1.47  New rule produced : [5] multiplication(zero,A) -> zero
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 23
% 1.19/1.47  Current number of rules: 5
% 1.19/1.47  New rule produced : [6] multiplication(one,A) -> A
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 22
% 1.19/1.47  Current number of rules: 6
% 1.19/1.47  New rule produced : [7] coantidomain(coantidomain(X0)) -> codomain(X0)
% 1.19/1.47  Current number of equations to process: 2
% 1.19/1.47  Current number of ordered equations: 19
% 1.19/1.47  Current number of rules: 7
% 1.19/1.47  New rule produced : [8] antidomain(antidomain(X0)) -> domain(X0)
% 1.19/1.47  Current number of equations to process: 2
% 1.19/1.47  Current number of ordered equations: 18
% 1.19/1.47  Current number of rules: 8
% 1.19/1.47  New rule produced : [9] antidomain(domain(X0)) -> c(X0)
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 19
% 1.19/1.47  Current number of rules: 9
% 1.19/1.47  New rule produced : [10] multiplication(X0,coantidomain(X0)) -> zero
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 18
% 1.19/1.47  Current number of rules: 10
% 1.19/1.47  New rule produced : [11] multiplication(antidomain(X0),X0) -> zero
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 17
% 1.19/1.47  Current number of rules: 11
% 1.19/1.47  New rule produced : [12] ifeq(A,A,B,C) -> B
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 16
% 1.19/1.47  Current number of rules: 12
% 1.19/1.47  New rule produced : [13] ifeq2(A,A,B,C) -> B
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 15
% 1.19/1.47  Current number of rules: 13
% 1.19/1.47  New rule produced :
% 1.19/1.47  [14] codomain(multiplication(codomain(X1),X0)) -> backward_diamond(X0,X1)
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 14
% 1.19/1.47  Current number of rules: 14
% 1.19/1.47  New rule produced :
% 1.19/1.47  [15] domain(multiplication(X0,domain(X1))) -> forward_diamond(X0,X1)
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 13
% 1.19/1.47  Current number of rules: 15
% 1.19/1.47  New rule produced : [16] domain(X0) addition antidomain(X0) -> one
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 12
% 1.19/1.47  Current number of rules: 16
% 1.19/1.47  New rule produced : [17] codomain(X0) addition coantidomain(X0) -> one
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 11
% 1.19/1.47  Current number of rules: 17
% 1.19/1.47  New rule produced : [18] backward_box(X0,X1) -> c(backward_diamond(X0,c(X1)))
% 1.19/1.47  The conjecture has been reduced. 
% 1.19/1.47  Conjecture is now:
% 1.19/1.47  c(backward_diamond(sK1_goals_X1,c(forward_diamond(sK1_goals_X1,domain(sK2_goals_X0))))) addition 
% 1.19/1.47  domain(sK2_goals_X0) = c(backward_diamond(sK1_goals_X1,c(forward_diamond(sK1_goals_X1,
% 1.19/1.47                                                           domain(sK2_goals_X0)))))
% 1.19/1.47  
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 10
% 1.19/1.47  Current number of rules: 18
% 1.19/1.47  New rule produced : [19] forward_box(X0,X1) -> c(forward_diamond(X0,c(X1)))
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 9
% 1.19/1.47  Current number of rules: 19
% 1.19/1.47  New rule produced :
% 1.19/1.47  [20] domain_difference(X0,X1) -> multiplication(domain(X0),antidomain(X1))
% 1.19/1.47  Current number of equations to process: 0
% 1.19/1.47  Current number of ordered equations: 8
% 1.19/1.47  Current number of rules: 20
% 1.19/1.47  New rule produced :
% 1.19/1.47  [21]
% 1.19/1.47  multiplication(A,multiplication(B,C)) <->
% 1.19/1.47  multiplication(multiplication(A,B),C)
% 1.19/1.47  Current number of equations to process: 13
% 1.19/1.47  Current number of ordered equations: 28
% 1.19/1.47  Current number of rules: 21
% 1.19/1.47  New rule produced :
% 1.19/1.47  [22]
% 1.19/1.47  multiplication(multiplication(A,B),C) <->
% 1.19/1.47  multiplication(A,multiplication(B,C))
% 1.19/1.47  Current number of equations to process: 13
% 1.19/1.47  Current number of ordered equations: 27
% 1.19/1.47  Current number of rules: 22
% 1.19/1.47  New rule produced :
% 1.19/1.47  [23]
% 1.19/1.47  multiplication(A,B addition C) ->
% 1.19/1.47  multiplication(A,B) addition multiplication(A,C)
% 1.19/1.47  Current number of equations to process: 13
% 1.19/1.47  Current number of ordered equations: 26
% 1.19/1.47  Current number of rules: 23
% 1.19/1.47  New rule produced :
% 1.19/1.47  [24]
% 1.19/1.47  multiplication(A addition B,C) ->
% 1.19/1.47  multiplication(A,C) addition multiplication(B,C)
% 1.19/1.47  Current number of equations to process: 13
% 1.19/1.47  Current number of ordered equations: 25
% 1.19/1.47  Current number of rules: 24
% 1.19/1.47  New rule produced : [25] ifeq2(A addition B,B,leq(A,B),true) -> true
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.48  Current number of ordered equations: 24
% 1.19/1.48  Current number of rules: 25
% 1.19/1.48  New rule produced : [26] ifeq(leq(A,B),true,A addition B,B) -> B
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.48  Current number of ordered equations: 23
% 1.19/1.48  Current number of rules: 26
% 1.19/1.48  New rule produced :
% 1.19/1.48  [27]
% 1.19/1.48  coantidomain(multiplication(codomain(X0),X1)) addition coantidomain(multiplication(X0,X1))
% 1.19/1.48  -> coantidomain(multiplication(codomain(X0),X1))
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.48  Current number of ordered equations: 22
% 1.19/1.48  Current number of rules: 27
% 1.19/1.48  New rule produced :
% 1.19/1.48  [28]
% 1.19/1.48  antidomain(multiplication(X0,domain(X1))) addition antidomain(multiplication(X0,X1))
% 1.19/1.48  -> antidomain(multiplication(X0,domain(X1)))
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.48  Current number of ordered equations: 21
% 1.19/1.48  Current number of rules: 28
% 1.19/1.48  New rule produced : [29] coantidomain(one) -> zero
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.48  Current number of ordered equations: 20
% 1.19/1.48  Current number of rules: 29
% 1.19/1.48  New rule produced : [30] antidomain(one) -> zero
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.48  Current number of ordered equations: 19
% 1.19/1.48  Current number of rules: 30
% 1.19/1.48  New rule produced : [31] domain(antidomain(A)) -> c(A)
% 1.19/1.48  Current number of equations to process: 14
% 1.19/1.48  Current number of ordered equations: 17
% 1.19/1.48  Current number of rules: 31
% 1.19/1.48  New rule produced : [32] backward_diamond(zero,A) -> codomain(zero)
% 1.19/1.48  Current number of equations to process: 14
% 1.19/1.48  Current number of ordered equations: 16
% 1.19/1.48  Current number of rules: 32
% 1.19/1.48  New rule produced : [33] forward_diamond(zero,A) -> domain(zero)
% 1.19/1.48  Current number of equations to process: 14
% 1.19/1.48  Current number of ordered equations: 15
% 1.19/1.48  Current number of rules: 33
% 1.19/1.48  New rule produced :
% 1.19/1.48  [34] coantidomain(codomain(A)) -> codomain(coantidomain(A))
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 13
% 1.19/1.48  Current number of rules: 34
% 1.19/1.48  New rule produced : [35] antidomain(c(A)) -> domain(domain(A))
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 12
% 1.19/1.48  Current number of rules: 35
% 1.19/1.48  New rule produced : [36] backward_diamond(one,A) -> codomain(codomain(A))
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 11
% 1.19/1.48  Current number of rules: 36
% 1.19/1.48  New rule produced : [37] forward_diamond(one,A) -> domain(domain(A))
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 10
% 1.19/1.48  Current number of rules: 37
% 1.19/1.48  New rule produced : [38] one addition domain(A) -> one
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 9
% 1.19/1.48  Current number of rules: 38
% 1.19/1.48  New rule produced : [39] one addition antidomain(A) -> one
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 8
% 1.19/1.48  Current number of rules: 39
% 1.19/1.48  New rule produced : [40] one addition codomain(A) -> one
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 7
% 1.19/1.48  Current number of rules: 40
% 1.19/1.48  New rule produced : [41] one addition coantidomain(A) -> one
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 6
% 1.19/1.48  Current number of rules: 41
% 1.19/1.48  New rule produced : [42] multiplication(coantidomain(A),codomain(A)) -> zero
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 5
% 1.19/1.48  Current number of rules: 42
% 1.19/1.48  New rule produced : [43] multiplication(domain(A),antidomain(A)) -> zero
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 4
% 1.19/1.48  Current number of rules: 43
% 1.19/1.48  New rule produced : [44] multiplication(c(A),domain(A)) -> zero
% 1.19/1.48  Current number of equations to process: 15
% 1.19/1.48  Current number of ordered equations: 3
% 1.19/1.48  Current number of rules: 44
% 1.19/1.48  New rule produced :
% 1.19/1.48  [45] backward_diamond(codomain(coantidomain(A)),A) -> codomain(zero)
% 1.19/1.48  Current number of equations to process: 14
% 1.19/1.48  Current number of ordered equations: 3
% 1.19/1.48  Current number of rules: 45
% 1.19/1.48  New rule produced : [46] c(A) addition domain(A) -> one
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.48  Current number of ordered equations: 3
% 1.19/1.48  Current number of rules: 46
% 1.19/1.48  New rule produced : [47] c(A) addition domain(domain(A)) -> one
% 1.19/1.48  Current number of equations to process: 13
% 1.19/1.51  Current number of ordered equations: 2
% 1.19/1.51  Current number of rules: 47
% 1.19/1.51  New rule produced :
% 1.19/1.51  [48] codomain(coantidomain(A)) addition codomain(A) -> one
% 1.19/1.51  Current number of equations to process: 13
% 1.19/1.51  Current number of ordered equations: 1
% 1.19/1.51  Current number of rules: 48
% 1.19/1.51  New rule produced :
% 1.19/1.51  [49] c(multiplication(A,domain(B))) -> antidomain(forward_diamond(A,B))
% 1.19/1.51  Current number of equations to process: 13
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 49
% 1.19/1.51  New rule produced :
% 1.19/1.51  [50] multiplication(multiplication(A,B),coantidomain(B)) -> zero
% 1.19/1.51  Current number of equations to process: 15
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 50
% 1.19/1.51  New rule produced :
% 1.19/1.51  [51] multiplication(multiplication(A,antidomain(B)),B) -> zero
% 1.19/1.51  Current number of equations to process: 14
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 51
% 1.19/1.51  New rule produced :
% 1.19/1.51  [52] multiplication(A,multiplication(coantidomain(A),B)) -> zero
% 1.19/1.51  Current number of equations to process: 17
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 52
% 1.19/1.51  New rule produced :
% 1.19/1.51  [53] multiplication(antidomain(A),multiplication(A,B)) -> zero
% 1.19/1.51  Current number of equations to process: 16
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 53
% 1.19/1.51  New rule produced :
% 1.19/1.51  [54]
% 1.19/1.51  codomain(multiplication(backward_diamond(A,B),C)) ->
% 1.19/1.51  backward_diamond(C,multiplication(codomain(B),A))
% 1.19/1.51  Current number of equations to process: 15
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 54
% 1.19/1.51  New rule produced :
% 1.19/1.51  [55]
% 1.19/1.51  domain(multiplication(A,forward_diamond(B,C))) ->
% 1.19/1.51  forward_diamond(A,multiplication(B,domain(C)))
% 1.19/1.51  Current number of equations to process: 14
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 55
% 1.19/1.51  New rule produced : [56] leq(A,A) -> true
% 1.19/1.51  Current number of equations to process: 36
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 56
% 1.19/1.51  New rule produced : [57] leq(A,A addition B) -> true
% 1.19/1.51  Current number of equations to process: 35
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 57
% 1.19/1.51  New rule produced : [58] leq(zero,A) -> true
% 1.19/1.51  Current number of equations to process: 36
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 58
% 1.19/1.51  New rule produced : [59] ifeq2(A,zero,leq(A,zero),true) -> true
% 1.19/1.51  Current number of equations to process: 35
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 59
% 1.19/1.51  New rule produced : [60] ifeq(leq(A,zero),true,A,zero) -> zero
% 1.19/1.51  Current number of equations to process: 53
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 60
% 1.19/1.51  New rule produced :
% 1.19/1.51  [61]
% 1.19/1.51  forward_diamond(A,B) addition antidomain(multiplication(A,domain(B))) -> one
% 1.19/1.51  Current number of equations to process: 66
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 61
% 1.19/1.51  New rule produced :
% 1.19/1.51  [62]
% 1.19/1.51  backward_diamond(A,B) addition coantidomain(multiplication(codomain(B),A)) ->
% 1.19/1.51  one
% 1.19/1.51  Current number of equations to process: 64
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 62
% 1.19/1.51  New rule produced :
% 1.19/1.51  [63]
% 1.19/1.51  codomain(multiplication(multiplication(codomain(A),B),C)) ->
% 1.19/1.51  backward_diamond(multiplication(B,C),A)
% 1.19/1.51  Current number of equations to process: 63
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 63
% 1.19/1.51  New rule produced :
% 1.19/1.51  [64]
% 1.19/1.51  domain(multiplication(A,multiplication(B,domain(C)))) ->
% 1.19/1.51  forward_diamond(multiplication(A,B),C)
% 1.19/1.51  Current number of equations to process: 62
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 64
% 1.19/1.51  New rule produced :
% 1.19/1.51  [65]
% 1.19/1.51  multiplication(A,domain(B)) addition multiplication(A,antidomain(B)) -> A
% 1.19/1.51  Current number of equations to process: 61
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 65
% 1.19/1.51  New rule produced :
% 1.19/1.51  [66]
% 1.19/1.51  multiplication(A,codomain(B)) addition multiplication(A,coantidomain(B)) -> A
% 1.19/1.51  Current number of equations to process: 60
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 66
% 1.19/1.51  New rule produced :
% 1.19/1.51  [67]
% 1.19/1.51  multiplication(domain(B),A) addition multiplication(antidomain(B),A) -> A
% 1.19/1.51  Current number of equations to process: 59
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 67
% 1.19/1.51  New rule produced :
% 1.19/1.51  [68]
% 1.19/1.51  multiplication(codomain(B),A) addition multiplication(coantidomain(B),A) -> A
% 1.19/1.52  Current number of equations to process: 58
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 68
% 1.19/1.52  New rule produced :
% 1.19/1.52  [69]
% 1.19/1.52  multiplication(A,multiplication(multiplication(B,C),X0)) <->
% 1.19/1.52  multiplication(multiplication(A,B),multiplication(C,X0))
% 1.19/1.52  Current number of equations to process: 57
% 1.19/1.52  Current number of ordered equations: 1
% 1.19/1.52  Current number of rules: 69
% 1.19/1.52  New rule produced :
% 1.19/1.52  [70]
% 1.19/1.52  multiplication(multiplication(A,B),multiplication(C,X0)) <->
% 1.19/1.52  multiplication(A,multiplication(multiplication(B,C),X0))
% 1.19/1.52  Current number of equations to process: 57
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 70
% 1.19/1.52  New rule produced :
% 1.19/1.52  [71]
% 1.19/1.52  multiplication(multiplication(A,multiplication(B,C)),X0) <->
% 1.19/1.52  multiplication(multiplication(A,B),multiplication(C,X0))
% 1.19/1.52  Current number of equations to process: 56
% 1.19/1.52  Current number of ordered equations: 1
% 1.19/1.52  Current number of rules: 71
% 1.19/1.52  New rule produced :
% 1.19/1.52  [72]
% 1.19/1.52  multiplication(multiplication(A,B),multiplication(C,X0)) <->
% 1.19/1.52  multiplication(multiplication(A,multiplication(B,C)),X0)
% 1.19/1.52  Current number of equations to process: 56
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 72
% 1.19/1.52  New rule produced :
% 1.19/1.52  [73]
% 1.19/1.52  multiplication(A,multiplication(multiplication(B,C),X0)) <->
% 1.19/1.52  multiplication(multiplication(multiplication(A,B),C),X0)
% 1.19/1.52  Current number of equations to process: 53
% 1.19/1.52  Current number of ordered equations: 5
% 1.19/1.52  Current number of rules: 73
% 1.19/1.52  New rule produced :
% 1.19/1.52  [74]
% 1.19/1.52  multiplication(A,multiplication(B,multiplication(C,X0))) <->
% 1.19/1.52  multiplication(multiplication(A,multiplication(B,C)),X0)
% 1.19/1.52  Current number of equations to process: 53
% 1.19/1.52  Current number of ordered equations: 4
% 1.19/1.52  Current number of rules: 74
% 1.19/1.52  New rule produced :
% 1.19/1.52  [75]
% 1.19/1.52  multiplication(A,multiplication(B,multiplication(C,X0))) <->
% 1.19/1.52  multiplication(multiplication(multiplication(A,B),C),X0)
% 1.19/1.52  Current number of equations to process: 53
% 1.19/1.52  Current number of ordered equations: 3
% 1.19/1.52  Current number of rules: 75
% 1.19/1.52  New rule produced :
% 1.19/1.52  [76]
% 1.19/1.52  multiplication(multiplication(A,multiplication(B,C)),X0) <->
% 1.19/1.52  multiplication(A,multiplication(B,multiplication(C,X0)))
% 1.19/1.52  Current number of equations to process: 53
% 1.19/1.52  Current number of ordered equations: 2
% 1.19/1.52  Current number of rules: 76
% 1.19/1.52  New rule produced :
% 1.19/1.52  [77]
% 1.19/1.52  multiplication(multiplication(multiplication(A,B),C),X0) <->
% 1.19/1.52  multiplication(A,multiplication(multiplication(B,C),X0))
% 1.19/1.52  Current number of equations to process: 53
% 1.19/1.52  Current number of ordered equations: 1
% 1.19/1.52  Current number of rules: 77
% 1.19/1.52  New rule produced :
% 1.19/1.52  [78]
% 1.19/1.52  multiplication(multiplication(multiplication(A,B),C),X0) <->
% 1.19/1.52  multiplication(A,multiplication(B,multiplication(C,X0)))
% 1.19/1.52  Current number of equations to process: 53
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 78
% 1.19/1.52  New rule produced :
% 1.19/1.52  [79] ifeq2(one,domain(A),leq(antidomain(A),domain(A)),true) -> true
% 1.19/1.52  Current number of equations to process: 51
% 1.19/1.52  Current number of ordered equations: 1
% 1.19/1.52  Current number of rules: 79
% 1.19/1.52  New rule produced :
% 1.19/1.52  [80] ifeq2(one,antidomain(A),leq(domain(A),antidomain(A)),true) -> true
% 1.19/1.52  Current number of equations to process: 51
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 80
% 1.19/1.52  New rule produced :
% 1.19/1.52  [81] ifeq2(one,codomain(A),leq(coantidomain(A),codomain(A)),true) -> true
% 1.19/1.52  Current number of equations to process: 49
% 1.19/1.52  Current number of ordered equations: 1
% 1.19/1.52  Current number of rules: 81
% 1.19/1.52  New rule produced :
% 1.19/1.52  [82] ifeq2(one,coantidomain(A),leq(codomain(A),coantidomain(A)),true) -> true
% 1.19/1.52  Current number of equations to process: 49
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 82
% 1.19/1.52  New rule produced :
% 1.19/1.52  [83] ifeq(leq(antidomain(A),domain(A)),true,one,domain(A)) -> domain(A)
% 1.19/1.52  Current number of equations to process: 47
% 1.19/1.52  Current number of ordered equations: 1
% 1.19/1.52  Current number of rules: 83
% 1.19/1.52  New rule produced :
% 1.19/1.52  [84]
% 1.19/1.52  ifeq(leq(domain(A),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 1.19/1.52  Current number of equations to process: 47
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 84
% 1.19/1.52  New rule produced :
% 1.19/1.52  [85]
% 1.19/1.52  ifeq(leq(coantidomain(A),codomain(A)),true,one,codomain(A)) -> codomain(A)
% 1.19/1.52  Current number of equations to process: 45
% 1.19/1.52  Current number of ordered equations: 1
% 1.19/1.57  Current number of rules: 85
% 1.19/1.57  New rule produced :
% 1.19/1.57  [86]
% 1.19/1.57  ifeq(leq(codomain(A),coantidomain(A)),true,one,coantidomain(A)) ->
% 1.19/1.57  coantidomain(A)
% 1.19/1.57  Current number of equations to process: 45
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 86
% 1.19/1.57  New rule produced :
% 1.19/1.57  [87] ifeq2(A addition B,A,leq(A addition B,A),true) -> true
% 1.19/1.57  Current number of equations to process: 44
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 87
% 1.19/1.57  New rule produced : [88] ifeq(leq(A addition B,A),true,A addition B,A) -> A
% 1.19/1.57  Current number of equations to process: 43
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 88
% 1.19/1.57  New rule produced :
% 1.19/1.57  [89]
% 1.19/1.57  codomain(multiplication(codomain(A),B) addition multiplication(codomain(A),C))
% 1.19/1.57  <-> backward_diamond(B addition C,A)
% 1.19/1.57  Current number of equations to process: 40
% 1.19/1.57  Current number of ordered equations: 1
% 1.19/1.57  Current number of rules: 89
% 1.19/1.57  New rule produced :
% 1.19/1.57  [90]
% 1.19/1.57  backward_diamond(B addition C,A) <->
% 1.19/1.57  codomain(multiplication(codomain(A),B) addition multiplication(codomain(A),C))
% 1.19/1.57  Current number of equations to process: 40
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 90
% 1.19/1.57  New rule produced :
% 1.19/1.57  [91]
% 1.19/1.57  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 1.19/1.57  forward_diamond(A addition C,B)
% 1.19/1.57  Current number of equations to process: 39
% 1.19/1.57  Current number of ordered equations: 1
% 1.19/1.57  Current number of rules: 91
% 1.19/1.57  New rule produced :
% 1.19/1.57  [92]
% 1.19/1.57  forward_diamond(A addition C,B) <->
% 1.19/1.57  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B)))
% 1.19/1.57  Current number of equations to process: 39
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 92
% 1.19/1.57  New rule produced :
% 1.19/1.57  [93]
% 1.19/1.57  multiplication(antidomain(A addition B),A) addition multiplication(antidomain(
% 1.19/1.57                                                                     A addition B),B)
% 1.19/1.57  -> zero
% 1.19/1.57  Current number of equations to process: 38
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 93
% 1.19/1.57  New rule produced :
% 1.19/1.57  [94]
% 1.19/1.57  multiplication(A,coantidomain(A addition B)) addition multiplication(B,
% 1.19/1.57                                                        coantidomain(A addition B))
% 1.19/1.57  -> zero
% 1.19/1.57  Current number of equations to process: 37
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 94
% 1.19/1.57  New rule produced :
% 1.19/1.57  [95]
% 1.19/1.57  codomain(coantidomain(A)) addition coantidomain(A) ->
% 1.19/1.57  codomain(coantidomain(A))
% 1.19/1.57  Current number of equations to process: 40
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 95
% 1.19/1.57  New rule produced :
% 1.19/1.57  [96]
% 1.19/1.57  coantidomain(zero) addition coantidomain(multiplication(codomain(zero),A)) ->
% 1.19/1.57  coantidomain(multiplication(codomain(zero),A))
% 1.19/1.57  Current number of equations to process: 50
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 96
% 1.19/1.57  New rule produced :
% 1.19/1.57  [97]
% 1.19/1.57  coantidomain(multiplication(codomain(one),A)) addition coantidomain(A) ->
% 1.19/1.57  coantidomain(multiplication(codomain(one),A))
% 1.19/1.57  Current number of equations to process: 49
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 97
% 1.19/1.57  New rule produced :
% 1.19/1.57  [98]
% 1.19/1.57  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(A),B))
% 1.19/1.57  -> one
% 1.19/1.57  Current number of equations to process: 48
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 98
% 1.19/1.57  New rule produced :
% 1.19/1.57  [99]
% 1.19/1.57  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)))
% 1.19/1.57  -> true
% 1.19/1.57  Current number of equations to process: 71
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 99
% 1.19/1.57  New rule produced :
% 1.19/1.57  [100]
% 1.19/1.57  coantidomain(zero) addition coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.19/1.57  -> coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.19/1.57  Current number of equations to process: 77
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 100
% 1.19/1.57  New rule produced :
% 1.19/1.57  [101]
% 1.19/1.57  coantidomain(zero) addition coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.19/1.57  -> coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.19/1.57  Current number of equations to process: 76
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 101
% 1.19/1.57  New rule produced :
% 1.19/1.57  [102]
% 1.19/1.57  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)) addition C)
% 1.19/1.57  -> true
% 1.19/1.61  Current number of equations to process: 75
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 102
% 1.19/1.61  New rule produced : [103] c(A) addition antidomain(A) -> c(A)
% 1.19/1.61  Current number of equations to process: 79
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 103
% 1.19/1.61  New rule produced :
% 1.19/1.61  [104]
% 1.19/1.61  antidomain(zero) addition antidomain(multiplication(A,domain(zero))) ->
% 1.19/1.61  antidomain(multiplication(A,domain(zero)))
% 1.19/1.61  Current number of equations to process: 85
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 104
% 1.19/1.61  New rule produced :
% 1.19/1.61  [105]
% 1.19/1.61  antidomain(multiplication(A,domain(one))) addition antidomain(A) ->
% 1.19/1.61  antidomain(multiplication(A,domain(one)))
% 1.19/1.61  Current number of equations to process: 84
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 105
% 1.19/1.61  New rule produced :
% 1.19/1.61  [106]
% 1.19/1.61  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(B)))
% 1.19/1.61  -> one
% 1.19/1.61  Current number of equations to process: 83
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 106
% 1.19/1.61  New rule produced :
% 1.19/1.61  [107]
% 1.19/1.61  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))))
% 1.19/1.61  -> true
% 1.19/1.61  Current number of equations to process: 106
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 107
% 1.19/1.61  New rule produced :
% 1.19/1.61  [108]
% 1.19/1.61  antidomain(zero) addition antidomain(multiplication(A,domain(coantidomain(A))))
% 1.19/1.61  -> antidomain(multiplication(A,domain(coantidomain(A))))
% 1.19/1.61  Current number of equations to process: 112
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 108
% 1.19/1.61  New rule produced :
% 1.19/1.61  [109]
% 1.19/1.61  antidomain(zero) addition antidomain(multiplication(antidomain(A),domain(A)))
% 1.19/1.61  -> antidomain(multiplication(antidomain(A),domain(A)))
% 1.19/1.61  Current number of equations to process: 111
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 109
% 1.19/1.61  New rule produced :
% 1.19/1.61  [110]
% 1.19/1.61  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))) addition C)
% 1.19/1.61  -> true
% 1.19/1.61  Current number of equations to process: 110
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 110
% 1.19/1.61  New rule produced : [111] coantidomain(zero) -> codomain(one)
% 1.19/1.61  Rule
% 1.19/1.61  [96]
% 1.19/1.61  coantidomain(zero) addition coantidomain(multiplication(codomain(zero),A)) ->
% 1.19/1.61  coantidomain(multiplication(codomain(zero),A)) collapsed.
% 1.19/1.61  Rule
% 1.19/1.61  [100]
% 1.19/1.61  coantidomain(zero) addition coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.19/1.61  -> coantidomain(multiplication(codomain(A),coantidomain(A))) collapsed.
% 1.19/1.61  Rule
% 1.19/1.61  [101]
% 1.19/1.61  coantidomain(zero) addition coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.19/1.61  -> coantidomain(multiplication(codomain(antidomain(A)),A)) collapsed.
% 1.19/1.61  Current number of equations to process: 110
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 108
% 1.19/1.61  Rule [111] coantidomain(zero) -> codomain(one) is composed into [111]
% 1.19/1.61                                                                  coantidomain(zero)
% 1.19/1.61                                                                  -> one
% 1.19/1.61  New rule produced : [112] codomain(one) -> one
% 1.19/1.61  Rule
% 1.19/1.61  [97]
% 1.19/1.61  coantidomain(multiplication(codomain(one),A)) addition coantidomain(A) ->
% 1.19/1.61  coantidomain(multiplication(codomain(one),A)) collapsed.
% 1.19/1.61  Current number of equations to process: 111
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 108
% 1.19/1.61  New rule produced : [113] antidomain(zero) -> domain(one)
% 1.19/1.61  Rule
% 1.19/1.61  [104]
% 1.19/1.61  antidomain(zero) addition antidomain(multiplication(A,domain(zero))) ->
% 1.19/1.61  antidomain(multiplication(A,domain(zero))) collapsed.
% 1.19/1.61  Rule
% 1.19/1.61  [108]
% 1.19/1.61  antidomain(zero) addition antidomain(multiplication(A,domain(coantidomain(A))))
% 1.19/1.61  -> antidomain(multiplication(A,domain(coantidomain(A)))) collapsed.
% 1.19/1.61  Rule
% 1.19/1.61  [109]
% 1.19/1.61  antidomain(zero) addition antidomain(multiplication(antidomain(A),domain(A)))
% 1.19/1.61  -> antidomain(multiplication(antidomain(A),domain(A))) collapsed.
% 1.19/1.61  Current number of equations to process: 113
% 1.19/1.61  Current number of ordered equations: 0
% 1.19/1.61  Current number of rules: 106
% 1.19/1.61  Rule [113] antidomain(zero) -> domain(one) is composed into [113]
% 1.19/1.61                                                              antidomain(zero)
% 1.19/1.61                                                              -> one
% 1.19/1.61  New rule produced : [114] domain(one) -> one
% 1.19/1.61  Rule
% 1.19/1.61  [105]
% 1.19/1.61  antidomain(multiplication(A,domain(one))) addition antidomain(A) ->
% 1.38/1.67  antidomain(multiplication(A,domain(one))) collapsed.
% 1.38/1.67  Current number of equations to process: 114
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 106
% 1.38/1.67  New rule produced : [115] c(antidomain(A)) -> domain(domain(A))
% 1.38/1.67  Current number of equations to process: 113
% 1.38/1.67  Current number of ordered equations: 1
% 1.38/1.67  Current number of rules: 107
% 1.38/1.67  New rule produced : [116] domain(c(A)) -> c(domain(A))
% 1.38/1.67  Current number of equations to process: 113
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 108
% 1.38/1.67  New rule produced :
% 1.38/1.67  [117] domain(multiplication(A,c(B))) -> forward_diamond(A,antidomain(B))
% 1.38/1.67  Current number of equations to process: 113
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 109
% 1.38/1.67  Rule [33] forward_diamond(zero,A) -> domain(zero) is composed into [33]
% 1.38/1.67                                                                     forward_diamond(zero,A)
% 1.38/1.67                                                                     -> 
% 1.38/1.67                                                                     c(one)
% 1.38/1.67  New rule produced : [118] domain(zero) -> c(one)
% 1.38/1.67  Current number of equations to process: 115
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 110
% 1.38/1.67  New rule produced :
% 1.38/1.67  [119] multiplication(codomain(A),codomain(coantidomain(A))) -> zero
% 1.38/1.67  Current number of equations to process: 118
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 111
% 1.38/1.67  New rule produced :
% 1.38/1.67  [120] codomain(codomain(A)) addition codomain(coantidomain(A)) -> one
% 1.38/1.67  Current number of equations to process: 117
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 112
% 1.38/1.67  New rule produced :
% 1.38/1.67  [121]
% 1.38/1.67  codomain(coantidomain(multiplication(codomain(B),A))) ->
% 1.38/1.67  coantidomain(backward_diamond(A,B))
% 1.38/1.67  Current number of equations to process: 116
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 113
% 1.38/1.67  New rule produced : [122] multiplication(domain(domain(A)),c(A)) -> zero
% 1.38/1.67  Current number of equations to process: 116
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 114
% 1.38/1.67  New rule produced : [123] domain(domain(domain(A))) -> c(c(A))
% 1.38/1.67  Current number of equations to process: 116
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 115
% 1.38/1.67  New rule produced : [124] one addition forward_diamond(A,B) -> one
% 1.38/1.67  Current number of equations to process: 117
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 116
% 1.38/1.67  New rule produced : [125] multiplication(A,domain(B)) addition A -> A
% 1.38/1.67  Current number of equations to process: 119
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 117
% 1.38/1.67  New rule produced : [126] multiplication(domain(B),A) addition A -> A
% 1.38/1.67  Current number of equations to process: 121
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 118
% 1.38/1.67  New rule produced : [127] leq(domain(A),one) -> true
% 1.38/1.67  Current number of equations to process: 128
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 119
% 1.38/1.67  New rule produced : [128] leq(domain(A),one addition B) -> true
% 1.38/1.67  Current number of equations to process: 127
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 120
% 1.38/1.67  New rule produced : [129] one addition c(A) -> one
% 1.38/1.67  Current number of equations to process: 133
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 121
% 1.38/1.67  New rule produced : [130] multiplication(A,antidomain(B)) addition A -> A
% 1.38/1.67  Current number of equations to process: 135
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 122
% 1.38/1.67  New rule produced : [131] multiplication(antidomain(B),A) addition A -> A
% 1.38/1.67  Current number of equations to process: 137
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 123
% 1.38/1.67  New rule produced : [132] leq(antidomain(A),one) -> true
% 1.38/1.67  Current number of equations to process: 144
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 124
% 1.38/1.67  New rule produced : [133] leq(antidomain(A),one addition B) -> true
% 1.38/1.67  Current number of equations to process: 143
% 1.38/1.67  Current number of ordered equations: 0
% 1.38/1.67  Current number of rules: 125
% 1.38/1.67  New rule produced : [134] one addition backward_diamond(A,B) -> one
% 1.38/1.67  Current number of equations to process: 149
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 126
% 1.42/1.72  New rule produced : [135] multiplication(A,codomain(B)) addition A -> A
% 1.42/1.72  Current number of equations to process: 151
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 127
% 1.42/1.72  New rule produced : [136] multiplication(codomain(B),A) addition A -> A
% 1.42/1.72  Current number of equations to process: 153
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 128
% 1.42/1.72  New rule produced : [137] leq(codomain(A),one) -> true
% 1.42/1.72  Current number of equations to process: 160
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 129
% 1.42/1.72  New rule produced : [138] leq(codomain(A),one addition B) -> true
% 1.42/1.72  Current number of equations to process: 159
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 130
% 1.42/1.72  New rule produced : [139] multiplication(A,coantidomain(B)) addition A -> A
% 1.42/1.72  Current number of equations to process: 166
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 131
% 1.42/1.72  New rule produced : [140] multiplication(coantidomain(B),A) addition A -> A
% 1.42/1.72  Current number of equations to process: 168
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 132
% 1.42/1.72  New rule produced : [141] leq(coantidomain(A),one) -> true
% 1.42/1.72  Current number of equations to process: 175
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 133
% 1.42/1.72  New rule produced : [142] leq(coantidomain(A),one addition B) -> true
% 1.42/1.72  Current number of equations to process: 174
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 134
% 1.42/1.72  New rule produced :
% 1.42/1.72  [143] multiplication(multiplication(A,coantidomain(B)),codomain(B)) -> zero
% 1.42/1.72  Current number of equations to process: 182
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 135
% 1.42/1.72  New rule produced :
% 1.42/1.72  [144] multiplication(coantidomain(A),multiplication(codomain(A),B)) -> zero
% 1.42/1.72  Current number of equations to process: 181
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 136
% 1.42/1.72  New rule produced :
% 1.42/1.72  [145] ifeq2(one,domain(A),leq(one,domain(A)),true) -> true
% 1.42/1.72  Current number of equations to process: 180
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 137
% 1.42/1.72  New rule produced :
% 1.42/1.72  [146] ifeq2(one,antidomain(A),leq(one,antidomain(A)),true) -> true
% 1.42/1.72  Current number of equations to process: 179
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 138
% 1.42/1.72  New rule produced :
% 1.42/1.72  [147] ifeq2(one,codomain(A),leq(one,codomain(A)),true) -> true
% 1.42/1.72  Current number of equations to process: 178
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 139
% 1.42/1.72  New rule produced :
% 1.42/1.72  [148] ifeq2(one,coantidomain(A),leq(one,coantidomain(A)),true) -> true
% 1.42/1.72  Current number of equations to process: 177
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 140
% 1.42/1.72  New rule produced :
% 1.42/1.72  [149]
% 1.42/1.72  multiplication(coantidomain(multiplication(codomain(A),B)),backward_diamond(B,A))
% 1.42/1.72  -> zero
% 1.42/1.72  Current number of equations to process: 176
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 141
% 1.42/1.72  New rule produced :
% 1.42/1.72  [150]
% 1.42/1.72  coantidomain(multiplication(codomain(coantidomain(A)),codomain(A))) -> one
% 1.42/1.72  Current number of equations to process: 177
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 142
% 1.42/1.72  New rule produced :
% 1.42/1.72  [151] antidomain(multiplication(coantidomain(A),domain(codomain(A)))) -> one
% 1.42/1.72  Current number of equations to process: 182
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 143
% 1.42/1.72  New rule produced :
% 1.42/1.72  [152] multiplication(codomain(coantidomain(A)),codomain(codomain(A))) -> zero
% 1.42/1.72  Current number of equations to process: 181
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 144
% 1.42/1.72  New rule produced :
% 1.42/1.72  [153] multiplication(multiplication(A,domain(B)),antidomain(B)) -> zero
% 1.42/1.72  Current number of equations to process: 180
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 145
% 1.42/1.72  New rule produced :
% 1.42/1.72  [154] multiplication(domain(A),multiplication(antidomain(A),B)) -> zero
% 1.42/1.72  Current number of equations to process: 179
% 1.42/1.72  Current number of ordered equations: 0
% 1.42/1.72  Current number of rules: 146
% 1.42/1.72  New rule produced :
% 1.42/1.72  [155]
% 1.42/1.72  multiplication(forward_diamond(A,B),antidomain(multiplication(A,domain(B))))
% 1.42/1.72  -> zero
% 1.54/1.81  Current number of equations to process: 178
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 147
% 1.54/1.81  New rule produced :
% 1.54/1.81  [156] coantidomain(multiplication(codomain(domain(A)),antidomain(A))) -> one
% 1.54/1.81  Current number of equations to process: 179
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 148
% 1.54/1.81  New rule produced : [157] forward_diamond(c(A),A) -> c(one)
% 1.54/1.81  Current number of equations to process: 179
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 149
% 1.54/1.81  New rule produced :
% 1.54/1.81  [158] multiplication(multiplication(A,c(B)),domain(B)) -> zero
% 1.54/1.81  Current number of equations to process: 180
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 150
% 1.54/1.81  New rule produced :
% 1.54/1.81  [159] multiplication(c(A),multiplication(domain(A),B)) -> zero
% 1.54/1.81  Current number of equations to process: 179
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 151
% 1.54/1.81  New rule produced :
% 1.54/1.81  [160] coantidomain(multiplication(codomain(c(A)),domain(A))) -> one
% 1.54/1.81  Current number of equations to process: 180
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 152
% 1.54/1.81  New rule produced :
% 1.54/1.81  [161]
% 1.54/1.81  backward_diamond(codomain(codomain(A)),coantidomain(A)) -> codomain(zero)
% 1.54/1.81  Current number of equations to process: 182
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 153
% 1.54/1.81  New rule produced :
% 1.54/1.81  [162] antidomain(multiplication(c(A),domain(domain(A)))) -> one
% 1.54/1.81  Current number of equations to process: 181
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 154
% 1.54/1.81  New rule produced :
% 1.54/1.81  [163] backward_diamond(codomain(zero),one) -> codomain(zero)
% 1.54/1.81  Current number of equations to process: 181
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 155
% 1.54/1.81  New rule produced :
% 1.54/1.81  [164]
% 1.54/1.81  backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) ->
% 1.54/1.81  codomain(zero)
% 1.54/1.81  Current number of equations to process: 205
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 156
% 1.54/1.81  New rule produced :
% 1.54/1.81  [165] forward_diamond(A,B) addition antidomain(forward_diamond(A,B)) -> one
% 1.54/1.81  Current number of equations to process: 204
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 157
% 1.54/1.81  New rule produced :
% 1.54/1.81  [166] multiplication(A,c(B)) addition multiplication(A,domain(B)) -> A
% 1.54/1.81  Current number of equations to process: 203
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 158
% 1.54/1.81  New rule produced :
% 1.54/1.81  [167] multiplication(c(B),A) addition multiplication(domain(B),A) -> A
% 1.54/1.81  Current number of equations to process: 202
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 159
% 1.54/1.81  New rule produced :
% 1.54/1.81  [168] ifeq(leq(one,domain(A)),true,one,domain(A)) -> domain(A)
% 1.54/1.81  Current number of equations to process: 201
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 160
% 1.54/1.81  New rule produced :
% 1.54/1.81  [169] ifeq(leq(one,antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 1.54/1.81  Current number of equations to process: 200
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 161
% 1.54/1.81  New rule produced :
% 1.54/1.81  [170] ifeq(leq(one,codomain(A)),true,one,codomain(A)) -> codomain(A)
% 1.54/1.81  Current number of equations to process: 199
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 162
% 1.54/1.81  New rule produced :
% 1.54/1.81  [171]
% 1.54/1.81  ifeq(leq(one,coantidomain(A)),true,one,coantidomain(A)) -> coantidomain(A)
% 1.54/1.81  Current number of equations to process: 198
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 163
% 1.54/1.81  New rule produced :
% 1.54/1.81  [172]
% 1.54/1.81  backward_diamond(A,B) addition coantidomain(backward_diamond(A,B)) -> one
% 1.54/1.81  Current number of equations to process: 243
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 164
% 1.54/1.81  New rule produced : [173] c(zero) -> one
% 1.54/1.81  Current number of equations to process: 245
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 165
% 1.54/1.81  New rule produced :
% 1.54/1.81  [174]
% 1.54/1.81  codomain(codomain(coantidomain(A))) addition codomain(codomain(A)) -> one
% 1.54/1.81  Current number of equations to process: 247
% 1.54/1.81  Current number of ordered equations: 0
% 1.54/1.81  Current number of rules: 166
% 1.54/1.81  New rule produced :
% 1.54/1.81  [175]
% 1.54/1.81  c(multiplication(A,forward_diamond(B,C))) ->
% 1.54/1.81  antidomain(forward_diamond(A,multiplication(B,domain(C))))
% 1.54/1.81  Current number of equations to process: 246
% 1.54/1.81  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 167
% 1.58/1.86  New rule produced :
% 1.58/1.86  [176]
% 1.58/1.86  c(multiplication(A,multiplication(B,domain(C)))) ->
% 1.58/1.86  antidomain(forward_diamond(multiplication(A,B),C))
% 1.58/1.86  Current number of equations to process: 245
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 168
% 1.58/1.86  New rule produced :
% 1.58/1.86  [177]
% 1.58/1.86  c(multiplication(A,c(B))) -> antidomain(forward_diamond(A,antidomain(B)))
% 1.58/1.86  Current number of equations to process: 247
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 169
% 1.58/1.86  New rule produced :
% 1.58/1.86  [178]
% 1.58/1.86  multiplication(multiplication(A,B),multiplication(coantidomain(B),C)) -> zero
% 1.58/1.86  Current number of equations to process: 247
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 170
% 1.58/1.86  New rule produced :
% 1.58/1.86  [179]
% 1.58/1.86  coantidomain(multiplication(codomain(multiplication(A,B)),coantidomain(B)))
% 1.58/1.86  -> one
% 1.58/1.86  Current number of equations to process: 248
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 171
% 1.58/1.86  New rule produced :
% 1.58/1.86  [180]
% 1.58/1.86  antidomain(multiplication(multiplication(A,B),domain(coantidomain(B)))) ->
% 1.58/1.86  one
% 1.58/1.86  Current number of equations to process: 252
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 172
% 1.58/1.86  New rule produced :
% 1.58/1.86  [181]
% 1.58/1.86  multiplication(multiplication(A,codomain(B)),codomain(coantidomain(B))) ->
% 1.58/1.86  zero
% 1.58/1.86  Current number of equations to process: 251
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 173
% 1.58/1.86  New rule produced :
% 1.58/1.86  [182]
% 1.58/1.86  multiplication(multiplication(A,antidomain(B)),multiplication(B,C)) -> zero
% 1.58/1.86  Current number of equations to process: 250
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 174
% 1.58/1.86  New rule produced :
% 1.58/1.86  [183]
% 1.58/1.86  coantidomain(multiplication(codomain(multiplication(A,antidomain(B))),B)) ->
% 1.58/1.86  one
% 1.58/1.86  Current number of equations to process: 251
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 175
% 1.58/1.86  New rule produced :
% 1.58/1.86  [184]
% 1.58/1.86  antidomain(multiplication(multiplication(A,antidomain(B)),domain(B))) -> one
% 1.58/1.86  Current number of equations to process: 254
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 176
% 1.58/1.86  New rule produced :
% 1.58/1.86  [185] multiplication(multiplication(A,domain(domain(B))),c(B)) -> zero
% 1.58/1.86  Current number of equations to process: 253
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 177
% 1.58/1.86  New rule produced :
% 1.58/1.86  [186]
% 1.58/1.86  coantidomain(multiplication(codomain(A),multiplication(coantidomain(A),B)))
% 1.58/1.86  -> one
% 1.58/1.86  Current number of equations to process: 254
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 178
% 1.58/1.86  New rule produced :
% 1.58/1.86  [187]
% 1.58/1.86  antidomain(multiplication(A,domain(multiplication(coantidomain(A),B)))) ->
% 1.58/1.86  one
% 1.58/1.86  Current number of equations to process: 258
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 179
% 1.58/1.86  New rule produced :
% 1.58/1.86  [188]
% 1.58/1.86  multiplication(codomain(A),multiplication(codomain(coantidomain(A)),B)) ->
% 1.58/1.86  zero
% 1.58/1.86  Current number of equations to process: 257
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 180
% 1.58/1.86  New rule produced :
% 1.58/1.86  [189]
% 1.58/1.86  coantidomain(multiplication(codomain(antidomain(A)),multiplication(A,B))) ->
% 1.58/1.86  one
% 1.58/1.86  Current number of equations to process: 258
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 181
% 1.58/1.86  New rule produced :
% 1.58/1.86  [190]
% 1.58/1.86  antidomain(multiplication(antidomain(A),domain(multiplication(A,B)))) -> one
% 1.58/1.86  Current number of equations to process: 260
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 182
% 1.58/1.86  New rule produced :
% 1.58/1.86  [191] multiplication(domain(domain(A)),multiplication(c(A),B)) -> zero
% 1.58/1.86  Current number of equations to process: 259
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 183
% 1.58/1.86  New rule produced :
% 1.58/1.86  [192]
% 1.58/1.86  backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 1.58/1.86  -> codomain(zero)
% 1.58/1.86  Current number of equations to process: 263
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 184
% 1.58/1.86  New rule produced :
% 1.58/1.86  [193] coantidomain(multiplication(codomain(zero),A)) -> one
% 1.58/1.86  Current number of equations to process: 262
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.86  Current number of rules: 185
% 1.58/1.86  New rule produced : [194] antidomain(multiplication(A,c(one))) -> one
% 1.58/1.86  Current number of equations to process: 261
% 1.58/1.86  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 186
% 1.58/1.93  New rule produced :
% 1.58/1.93  [195] ifeq2(one,domain(A),leq(c(A),domain(A)),true) -> true
% 1.58/1.93  Current number of equations to process: 253
% 1.58/1.93  Current number of ordered equations: 1
% 1.58/1.93  Current number of rules: 187
% 1.58/1.93  New rule produced : [196] ifeq2(one,c(A),leq(domain(A),c(A)),true) -> true
% 1.58/1.93  Current number of equations to process: 253
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 188
% 1.58/1.93  New rule produced :
% 1.58/1.93  [197]
% 1.58/1.93  multiplication(A,c(B)) addition multiplication(A,domain(domain(B))) -> A
% 1.58/1.93  Current number of equations to process: 252
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 189
% 1.58/1.93  New rule produced :
% 1.58/1.93  [198]
% 1.58/1.93  multiplication(c(B),A) addition multiplication(domain(domain(B)),A) -> A
% 1.58/1.93  Current number of equations to process: 251
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 190
% 1.58/1.93  New rule produced :
% 1.58/1.93  [199]
% 1.58/1.93  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 1.58/1.93                                                       codomain(B)) -> A
% 1.58/1.93  Current number of equations to process: 250
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 191
% 1.58/1.93  New rule produced :
% 1.58/1.93  [200]
% 1.58/1.93  multiplication(codomain(coantidomain(B)),A) addition multiplication(codomain(B),A)
% 1.58/1.93  -> A
% 1.58/1.93  Current number of equations to process: 249
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 192
% 1.58/1.93  New rule produced :
% 1.58/1.93  [201]
% 1.58/1.93  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C)))
% 1.58/1.93  -> zero
% 1.58/1.93  Current number of equations to process: 248
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 193
% 1.58/1.93  New rule produced :
% 1.58/1.93  [202]
% 1.58/1.93  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 1.58/1.93  -> zero
% 1.58/1.93  Current number of equations to process: 247
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 194
% 1.58/1.93  New rule produced :
% 1.58/1.93  [203] ifeq(leq(c(A),domain(A)),true,one,domain(A)) -> domain(A)
% 1.58/1.93  Current number of equations to process: 245
% 1.58/1.93  Current number of ordered equations: 1
% 1.58/1.93  Current number of rules: 195
% 1.58/1.93  New rule produced : [204] ifeq(leq(domain(A),c(A)),true,one,c(A)) -> c(A)
% 1.58/1.93  Current number of equations to process: 245
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 196
% 1.58/1.93  New rule produced :
% 1.58/1.93  [205]
% 1.58/1.93  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,domain(B)))
% 1.58/1.93  -> c(one)
% 1.58/1.93  Current number of equations to process: 256
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 197
% 1.58/1.93  New rule produced :
% 1.58/1.93  [206]
% 1.58/1.93  codomain(coantidomain(multiplication(backward_diamond(C,B),A))) ->
% 1.58/1.93  coantidomain(backward_diamond(A,multiplication(codomain(B),C)))
% 1.58/1.93  Current number of equations to process: 255
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 198
% 1.58/1.93  New rule produced : [207] leq(domain(A) addition B,one addition B) -> true
% 1.58/1.93  Current number of equations to process: 265
% 1.58/1.93  Current number of ordered equations: 1
% 1.58/1.93  Current number of rules: 199
% 1.58/1.93  New rule produced :
% 1.58/1.93  [208] leq(antidomain(A) addition B,one addition B) -> true
% 1.58/1.93  Current number of equations to process: 265
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 200
% 1.58/1.93  New rule produced : [209] leq(codomain(A) addition B,one addition B) -> true
% 1.58/1.93  Current number of equations to process: 263
% 1.58/1.93  Current number of ordered equations: 1
% 1.58/1.93  Current number of rules: 201
% 1.58/1.93  New rule produced :
% 1.58/1.93  [210] leq(coantidomain(A) addition B,one addition B) -> true
% 1.58/1.93  Current number of equations to process: 263
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 202
% 1.58/1.93  New rule produced : [211] leq(c(A),one) -> true
% 1.58/1.93  Current number of equations to process: 275
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 203
% 1.58/1.93  New rule produced : [212] leq(c(A),one addition B) -> true
% 1.58/1.93  Current number of equations to process: 277
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 204
% 1.58/1.93  New rule produced : [213] leq(c(A) addition B,one addition B) -> true
% 1.58/1.93  Current number of equations to process: 276
% 1.58/1.93  Current number of ordered equations: 0
% 1.58/1.93  Current number of rules: 205
% 1.58/1.93  New rule produced :
% 1.58/1.93  [214] leq(domain(A) addition B,one addition B addition C) -> true
% 1.58/1.93  Current number of equations to process: 274
% 1.79/2.06  Current number of ordered equations: 1
% 1.79/2.06  Current number of rules: 206
% 1.79/2.06  New rule produced :
% 1.79/2.06  [215] leq(antidomain(A) addition B,one addition B addition C) -> true
% 1.79/2.06  Current number of equations to process: 274
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 207
% 1.79/2.06  New rule produced :
% 1.79/2.06  [216] leq(codomain(A) addition B,one addition B addition C) -> true
% 1.79/2.06  Current number of equations to process: 272
% 1.79/2.06  Current number of ordered equations: 1
% 1.79/2.06  Current number of rules: 208
% 1.79/2.06  New rule produced :
% 1.79/2.06  [217] leq(coantidomain(A) addition B,one addition B addition C) -> true
% 1.79/2.06  Current number of equations to process: 272
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 209
% 1.79/2.06  New rule produced :
% 1.79/2.06  [218] leq(c(A) addition B,one addition B addition C) -> true
% 1.79/2.06  Current number of equations to process: 266
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 210
% 1.79/2.06  New rule produced :
% 1.79/2.06  [219] ifeq2(one,c(A),leq(domain(domain(A)),c(A)),true) -> true
% 1.79/2.06  Current number of equations to process: 291
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 211
% 1.79/2.06  New rule produced :
% 1.79/2.06  [220]
% 1.79/2.06  ifeq2(one,codomain(A),leq(codomain(coantidomain(A)),codomain(A)),true) ->
% 1.79/2.06  true
% 1.79/2.06  Current number of equations to process: 289
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 212
% 1.79/2.06  New rule produced : [221] leq(forward_diamond(A,B),one) -> true
% 1.79/2.06  Current number of equations to process: 287
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 213
% 1.79/2.06  New rule produced : [222] leq(forward_diamond(A,B),one addition C) -> true
% 1.79/2.06  Current number of equations to process: 286
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 214
% 1.79/2.06  New rule produced :
% 1.79/2.06  [223] leq(forward_diamond(A,B) addition C,one addition C) -> true
% 1.79/2.06  Current number of equations to process: 313
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 215
% 1.79/2.06  New rule produced :
% 1.79/2.06  [224]
% 1.79/2.06  forward_diamond(A,B) addition antidomain(multiplication(A,domain(domain(B))))
% 1.79/2.06  -> one
% 1.79/2.06  Current number of equations to process: 312
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 216
% 1.79/2.06  New rule produced :
% 1.79/2.06  [225]
% 1.79/2.06  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,c(B)))
% 1.79/2.06  -> one
% 1.79/2.06  Current number of equations to process: 311
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 217
% 1.79/2.06  New rule produced :
% 1.79/2.06  [226] leq(forward_diamond(A,B) addition C,one addition C addition X0) -> true
% 1.79/2.06  Current number of equations to process: 310
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 218
% 1.79/2.06  New rule produced :
% 1.79/2.06  [227]
% 1.79/2.06  backward_diamond(A,B) addition coantidomain(multiplication(codomain(codomain(B)),A))
% 1.79/2.06  -> one
% 1.79/2.06  Current number of equations to process: 311
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 219
% 1.79/2.06  New rule produced : [228] leq(backward_diamond(A,B),one) -> true
% 1.79/2.06  Current number of equations to process: 316
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 220
% 1.79/2.06  New rule produced : [229] leq(backward_diamond(A,B),one addition C) -> true
% 1.79/2.06  Current number of equations to process: 315
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 221
% 1.79/2.06  New rule produced :
% 1.79/2.06  [230] leq(backward_diamond(A,B) addition C,one addition C) -> true
% 1.79/2.06  Current number of equations to process: 323
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 222
% 1.79/2.06  New rule produced :
% 1.79/2.06  [231]
% 1.79/2.06  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 1.79/2.06  -> codomain(zero)
% 1.79/2.06  Current number of equations to process: 322
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 223
% 1.79/2.06  New rule produced :
% 1.79/2.06  [232]
% 1.79/2.06  leq(backward_diamond(A,B) addition C,one addition C addition X0) -> true
% 1.79/2.06  Current number of equations to process: 321
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 224
% 1.79/2.06  New rule produced :
% 1.79/2.06  [233]
% 1.79/2.06  forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 1.79/2.06  -> c(one)
% 1.79/2.06  Current number of equations to process: 339
% 1.79/2.06  Current number of ordered equations: 0
% 1.79/2.06  Current number of rules: 225
% 1.79/2.06  New rule produced :
% 1.79/2.06  [234]
% 1.79/2.06  codomain(coantidomain(multiplication(multiplication(codomain(C),A),B))) ->
% 1.79/2.06  coantidomain(backward_diamond(multiplication(A,B),C))
% 1.89/2.20  Current number of equations to process: 338
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 226
% 1.89/2.20  New rule produced : [235] forward_diamond(multiplication(A,c(B)),B) -> c(one)
% 1.89/2.20  Current number of equations to process: 342
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 227
% 1.89/2.20  New rule produced :
% 1.89/2.20  [236]
% 1.89/2.20  domain(multiplication(A,multiplication(B,c(C)))) ->
% 1.89/2.20  forward_diamond(multiplication(A,B),antidomain(C))
% 1.89/2.20  Current number of equations to process: 373
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 228
% 1.89/2.20  New rule produced : [237] multiplication(domain(A),domain(A)) -> domain(A)
% 1.89/2.20  Current number of equations to process: 374
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 229
% 1.89/2.20  New rule produced : [238] multiplication(c(A),antidomain(A)) -> c(A)
% 1.89/2.20  Current number of equations to process: 375
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 230
% 1.89/2.20  New rule produced : [239] leq(multiplication(A,domain(B)),A) -> true
% 1.89/2.20  Current number of equations to process: 381
% 1.89/2.20  Current number of ordered equations: 1
% 1.89/2.20  Current number of rules: 231
% 1.89/2.20  New rule produced : [240] leq(multiplication(A,antidomain(B)),A) -> true
% 1.89/2.20  Current number of equations to process: 381
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 232
% 1.89/2.20  New rule produced :
% 1.89/2.20  [241] leq(multiplication(A,domain(B)),A addition C) -> true
% 1.89/2.20  Current number of equations to process: 379
% 1.89/2.20  Current number of ordered equations: 1
% 1.89/2.20  Current number of rules: 233
% 1.89/2.20  New rule produced :
% 1.89/2.20  [242] leq(multiplication(A,antidomain(B)),A addition C) -> true
% 1.89/2.20  Current number of equations to process: 379
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 234
% 1.89/2.20  New rule produced : [243] multiplication(A,codomain(A)) -> A
% 1.89/2.20  Current number of equations to process: 382
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 235
% 1.89/2.20  New rule produced :
% 1.89/2.20  [244]
% 1.89/2.20  multiplication(antidomain(codomain(A)),coantidomain(A)) ->
% 1.89/2.20  antidomain(codomain(A))
% 1.89/2.20  Current number of equations to process: 383
% 1.89/2.20  Current number of ordered equations: 1
% 1.89/2.20  Current number of rules: 236
% 1.89/2.20  New rule produced :
% 1.89/2.20  [245]
% 1.89/2.20  multiplication(antidomain(coantidomain(A)),codomain(A)) ->
% 1.89/2.20  antidomain(coantidomain(A))
% 1.89/2.20  Current number of equations to process: 383
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 237
% 1.89/2.20  New rule produced :
% 1.89/2.20  [246] leq(multiplication(A,domain(B)) addition C,A addition C) -> true
% 1.89/2.20  Current number of equations to process: 409
% 1.89/2.20  Current number of ordered equations: 1
% 1.89/2.20  Current number of rules: 238
% 1.89/2.20  New rule produced :
% 1.89/2.20  [247] leq(multiplication(A,antidomain(B)) addition C,A addition C) -> true
% 1.89/2.20  Current number of equations to process: 409
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 239
% 1.89/2.20  New rule produced :
% 1.89/2.20  [248] multiplication(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 1.89/2.20  Current number of equations to process: 410
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 240
% 1.89/2.20  New rule produced :
% 1.89/2.20  [249] multiplication(multiplication(A,B),codomain(B)) -> multiplication(A,B)
% 1.89/2.20  Current number of equations to process: 411
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 241
% 1.89/2.20  New rule produced : [250] leq(multiplication(A,codomain(B)),A) -> true
% 1.89/2.20  Current number of equations to process: 422
% 1.89/2.20  Current number of ordered equations: 1
% 1.89/2.20  Current number of rules: 242
% 1.89/2.20  New rule produced : [251] leq(multiplication(A,coantidomain(B)),A) -> true
% 1.89/2.20  Current number of equations to process: 422
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 243
% 1.89/2.20  New rule produced :
% 1.89/2.20  [252] leq(multiplication(A,codomain(B)),A addition C) -> true
% 1.89/2.20  Current number of equations to process: 420
% 1.89/2.20  Current number of ordered equations: 1
% 1.89/2.20  Current number of rules: 244
% 1.89/2.20  New rule produced :
% 1.89/2.20  [253] leq(multiplication(A,coantidomain(B)),A addition C) -> true
% 1.89/2.20  Current number of equations to process: 420
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 245
% 1.89/2.20  New rule produced : [254] multiplication(domain(A),A) -> A
% 1.89/2.20  Current number of equations to process: 427
% 1.89/2.20  Current number of ordered equations: 0
% 1.89/2.20  Current number of rules: 246
% 1.89/2.20  New rule produced :
% 1.89/2.20  [255]
% 2.03/2.33  multiplication(domain(A),coantidomain(antidomain(A))) ->
% 2.03/2.33  coantidomain(antidomain(A))
% 2.03/2.33  Current number of equations to process: 425
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 247
% 2.03/2.33  New rule produced :
% 2.03/2.33  [256]
% 2.03/2.33  multiplication(antidomain(A),coantidomain(domain(A))) ->
% 2.03/2.33  coantidomain(domain(A))
% 2.03/2.33  Current number of equations to process: 425
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 248
% 2.03/2.33  New rule produced :
% 2.03/2.33  [257]
% 2.03/2.33  multiplication(multiplication(A,antidomain(codomain(B))),coantidomain(B)) ->
% 2.03/2.33  multiplication(A,antidomain(codomain(B)))
% 2.03/2.33  Current number of equations to process: 449
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 249
% 2.03/2.33  New rule produced :
% 2.03/2.33  [258]
% 2.03/2.33  multiplication(multiplication(A,antidomain(coantidomain(B))),codomain(B)) ->
% 2.03/2.33  multiplication(A,antidomain(coantidomain(B)))
% 2.03/2.33  Current number of equations to process: 449
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 250
% 2.03/2.33  New rule produced :
% 2.03/2.33  [259] leq(multiplication(A,codomain(B)) addition C,A addition C) -> true
% 2.03/2.33  Current number of equations to process: 447
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 251
% 2.03/2.33  New rule produced :
% 2.03/2.33  [260] leq(multiplication(A,coantidomain(B)) addition C,A addition C) -> true
% 2.03/2.33  Current number of equations to process: 447
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 252
% 2.03/2.33  New rule produced :
% 2.03/2.33  [261]
% 2.03/2.33  multiplication(A,codomain(codomain(B))) addition multiplication(A,codomain(
% 2.03/2.33                                                                    coantidomain(B)))
% 2.03/2.33  -> A
% 2.03/2.33  Current number of equations to process: 444
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 253
% 2.03/2.33  New rule produced :
% 2.03/2.33  [262] multiplication(antidomain(A),antidomain(A)) -> antidomain(A)
% 2.03/2.33  Current number of equations to process: 445
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 254
% 2.03/2.33  New rule produced :
% 2.03/2.33  [263] multiplication(domain(A),multiplication(A,B)) -> multiplication(A,B)
% 2.03/2.33  Current number of equations to process: 450
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 255
% 2.03/2.33  New rule produced : [264] leq(multiplication(antidomain(A),B),B) -> true
% 2.03/2.33  Current number of equations to process: 457
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 256
% 2.03/2.33  New rule produced : [265] leq(multiplication(domain(A),B),B) -> true
% 2.03/2.33  Current number of equations to process: 457
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 257
% 2.03/2.33  New rule produced :
% 2.03/2.33  [266] leq(multiplication(antidomain(A),B),B addition C) -> true
% 2.03/2.33  Current number of equations to process: 455
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 258
% 2.03/2.33  New rule produced :
% 2.03/2.33  [267] leq(multiplication(domain(A),B),B addition C) -> true
% 2.03/2.33  Current number of equations to process: 455
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 259
% 2.03/2.33  New rule produced :
% 2.03/2.33  [268]
% 2.03/2.33  multiplication(domain(A),multiplication(coantidomain(antidomain(A)),B)) ->
% 2.03/2.33  multiplication(coantidomain(antidomain(A)),B)
% 2.03/2.33  Current number of equations to process: 499
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 260
% 2.03/2.33  New rule produced :
% 2.03/2.33  [269]
% 2.03/2.33  multiplication(antidomain(A),multiplication(coantidomain(domain(A)),B)) ->
% 2.03/2.33  multiplication(coantidomain(domain(A)),B)
% 2.03/2.33  Current number of equations to process: 499
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 261
% 2.03/2.33  New rule produced :
% 2.03/2.33  [270] leq(multiplication(domain(A),B) addition C,B addition C) -> true
% 2.03/2.33  Current number of equations to process: 496
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 262
% 2.03/2.33  New rule produced :
% 2.03/2.33  [271] leq(multiplication(antidomain(A),B) addition C,B addition C) -> true
% 2.03/2.33  Current number of equations to process: 496
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 263
% 2.03/2.33  New rule produced :
% 2.03/2.33  [272] multiplication(codomain(A),codomain(A)) -> codomain(A)
% 2.03/2.33  Current number of equations to process: 499
% 2.03/2.33  Current number of ordered equations: 0
% 2.03/2.33  Current number of rules: 264
% 2.03/2.33  New rule produced : [273] leq(multiplication(codomain(A),B),B) -> true
% 2.03/2.33  Current number of equations to process: 506
% 2.03/2.33  Current number of ordered equations: 1
% 2.03/2.33  Current number of rules: 265
% 2.08/2.39  New rule produced : [274] leq(multiplication(coantidomain(A),B),B) -> true
% 2.08/2.39  Current number of equations to process: 506
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 266
% 2.08/2.39  New rule produced :
% 2.08/2.39  [275] leq(multiplication(codomain(A),B),B addition C) -> true
% 2.08/2.39  Current number of equations to process: 504
% 2.08/2.39  Current number of ordered equations: 1
% 2.08/2.39  Current number of rules: 267
% 2.08/2.39  New rule produced :
% 2.08/2.39  [276] leq(multiplication(coantidomain(A),B),B addition C) -> true
% 2.08/2.39  Current number of equations to process: 504
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 268
% 2.08/2.39  New rule produced :
% 2.08/2.39  [277] leq(multiplication(codomain(A),B) addition C,B addition C) -> true
% 2.08/2.39  Current number of equations to process: 533
% 2.08/2.39  Current number of ordered equations: 1
% 2.08/2.39  Current number of rules: 269
% 2.08/2.39  New rule produced :
% 2.08/2.39  [278] leq(multiplication(coantidomain(A),B) addition C,B addition C) -> true
% 2.08/2.39  Current number of equations to process: 533
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 270
% 2.08/2.39  New rule produced :
% 2.08/2.39  [279]
% 2.08/2.39  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C))))
% 2.08/2.39  -> zero
% 2.08/2.39  Current number of equations to process: 532
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 271
% 2.08/2.39  New rule produced :
% 2.08/2.39  [280]
% 2.08/2.39  multiplication(codomain(codomain(A)),B) addition multiplication(codomain(
% 2.08/2.39                                                                  coantidomain(A)),B)
% 2.08/2.39  -> B
% 2.08/2.39  Current number of equations to process: 531
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 272
% 2.08/2.39  New rule produced :
% 2.08/2.39  [281] coantidomain(multiplication(codomain(A),coantidomain(A))) -> one
% 2.08/2.39  Current number of equations to process: 530
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 273
% 2.08/2.39  New rule produced :
% 2.08/2.39  [282] coantidomain(multiplication(codomain(antidomain(A)),A)) -> one
% 2.08/2.39  Current number of equations to process: 529
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 274
% 2.08/2.39  New rule produced :
% 2.08/2.39  [283] antidomain(multiplication(A,domain(coantidomain(A)))) -> one
% 2.08/2.39  Current number of equations to process: 528
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 275
% 2.08/2.39  New rule produced :
% 2.08/2.39  [284] antidomain(multiplication(antidomain(A),domain(A))) -> one
% 2.08/2.39  Current number of equations to process: 527
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 276
% 2.08/2.39  New rule produced :
% 2.08/2.39  [285] ifeq(leq(domain(domain(A)),c(A)),true,one,c(A)) -> c(A)
% 2.08/2.39  Current number of equations to process: 526
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 277
% 2.08/2.39  New rule produced :
% 2.08/2.39  [286]
% 2.08/2.39  ifeq(leq(codomain(coantidomain(A)),codomain(A)),true,one,codomain(A)) ->
% 2.08/2.39  codomain(A)
% 2.08/2.39  Current number of equations to process: 525
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 278
% 2.08/2.39  New rule produced :
% 2.08/2.39  [287]
% 2.08/2.39  codomain(multiplication(multiplication(backward_diamond(A,B),C),X0)) ->
% 2.08/2.39  backward_diamond(multiplication(C,X0),multiplication(codomain(B),A))
% 2.08/2.39  Current number of equations to process: 524
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 279
% 2.08/2.39  New rule produced :
% 2.08/2.39  [288]
% 2.08/2.39  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 2.08/2.39  multiplication(codomain(B),A)) -> codomain(zero)
% 2.08/2.39  Current number of equations to process: 523
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 280
% 2.08/2.39  New rule produced :
% 2.08/2.39  [289]
% 2.08/2.39  domain(multiplication(A,multiplication(B,forward_diamond(C,X0)))) ->
% 2.08/2.39  forward_diamond(multiplication(A,B),multiplication(C,domain(X0)))
% 2.08/2.39  Current number of equations to process: 522
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 281
% 2.08/2.39  New rule produced :
% 2.08/2.39  [290]
% 2.08/2.39  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 2.08/2.39                                                                     domain(C)))
% 2.08/2.39  -> c(one)
% 2.08/2.39  Current number of equations to process: 521
% 2.08/2.39  Current number of ordered equations: 0
% 2.08/2.39  Current number of rules: 282
% 2.08/2.39  New rule produced :
% 2.08/2.39  [291]
% 2.08/2.39  backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 2.08/2.39                                                                codomain(B),A)),C)),B)
% 2.08/2.39  -> codomain(zero)
% 2.08/2.39  Current number of equations to process: 519
% 2.08/2.44  Current number of ordered equations: 0
% 2.08/2.44  Current number of rules: 283
% 2.08/2.44  New rule produced :
% 2.08/2.44  [292]
% 2.08/2.44  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 2.08/2.44                                                             domain(C)))),B),C)
% 2.08/2.44  -> c(one)
% 2.08/2.44  Current number of equations to process: 517
% 2.08/2.44  Current number of ordered equations: 0
% 2.08/2.44  Current number of rules: 284
% 2.08/2.44  New rule produced :
% 2.08/2.44  [293]
% 2.08/2.44  domain(A) addition multiplication(antidomain(A),domain(B)) <->
% 2.08/2.44  domain(B) addition multiplication(domain(A),antidomain(B))
% 2.08/2.44  Current number of equations to process: 513
% 2.08/2.44  Current number of ordered equations: 5
% 2.08/2.44  Current number of rules: 285
% 2.08/2.44  New rule produced :
% 2.08/2.44  [294]
% 2.08/2.44  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 2.08/2.44  antidomain(B) addition multiplication(domain(A),domain(B))
% 2.08/2.44  Current number of equations to process: 513
% 2.08/2.44  Current number of ordered equations: 4
% 2.08/2.44  Current number of rules: 286
% 2.08/2.44  New rule produced :
% 2.08/2.44  [295]
% 2.08/2.44  antidomain(A) addition multiplication(domain(A),antidomain(B)) <->
% 2.08/2.44  antidomain(B) addition multiplication(antidomain(A),domain(B))
% 2.08/2.44  Current number of equations to process: 513
% 2.08/2.44  Current number of ordered equations: 3
% 2.08/2.44  Current number of rules: 287
% 2.08/2.44  New rule produced :
% 2.08/2.44  [296]
% 2.08/2.44  domain(B) addition multiplication(domain(A),antidomain(B)) <->
% 2.08/2.44  domain(A) addition multiplication(antidomain(A),domain(B))
% 2.08/2.44  Current number of equations to process: 513
% 2.08/2.44  Current number of ordered equations: 2
% 2.08/2.44  Current number of rules: 288
% 2.08/2.44  New rule produced :
% 2.08/2.44  [297]
% 2.08/2.44  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 2.08/2.44  antidomain(A) addition multiplication(domain(A),domain(B))
% 2.08/2.44  Current number of equations to process: 513
% 2.08/2.44  Current number of ordered equations: 1
% 2.08/2.44  Current number of rules: 289
% 2.08/2.44  New rule produced :
% 2.08/2.44  [298]
% 2.08/2.44  antidomain(B) addition multiplication(antidomain(A),domain(B)) <->
% 2.08/2.44  antidomain(A) addition multiplication(domain(A),antidomain(B))
% 2.08/2.44  Current number of equations to process: 513
% 2.08/2.44  Current number of ordered equations: 0
% 2.08/2.44  Current number of rules: 290
% 2.08/2.44  New rule produced :
% 2.08/2.44  [299]
% 2.08/2.44  domain(A) addition multiplication(antidomain(A),codomain(B)) <->
% 2.08/2.44  codomain(B) addition multiplication(domain(A),coantidomain(B))
% 2.08/2.44  Current number of equations to process: 509
% 2.08/2.44  Current number of ordered equations: 5
% 2.08/2.44  Current number of rules: 291
% 2.08/2.44  New rule produced :
% 2.08/2.44  [300]
% 2.08/2.44  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 2.08/2.44  coantidomain(B) addition multiplication(domain(A),codomain(B))
% 2.08/2.44  Current number of equations to process: 509
% 2.08/2.44  Current number of ordered equations: 4
% 2.08/2.44  Current number of rules: 292
% 2.08/2.44  New rule produced :
% 2.08/2.44  [301]
% 2.08/2.44  antidomain(A) addition multiplication(domain(A),coantidomain(B)) <->
% 2.08/2.44  coantidomain(B) addition multiplication(antidomain(A),codomain(B))
% 2.08/2.44  Current number of equations to process: 509
% 2.08/2.44  Current number of ordered equations: 3
% 2.08/2.44  Current number of rules: 293
% 2.08/2.44  New rule produced :
% 2.08/2.44  [302]
% 2.08/2.44  codomain(B) addition multiplication(domain(A),coantidomain(B)) <->
% 2.08/2.44  domain(A) addition multiplication(antidomain(A),codomain(B))
% 2.08/2.44  Current number of equations to process: 509
% 2.08/2.44  Current number of ordered equations: 2
% 2.08/2.44  Current number of rules: 294
% 2.08/2.44  New rule produced :
% 2.08/2.45  [303]
% 2.08/2.45  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 2.08/2.45  antidomain(A) addition multiplication(domain(A),codomain(B))
% 2.08/2.45  Current number of equations to process: 509
% 2.08/2.45  Current number of ordered equations: 1
% 2.08/2.45  Current number of rules: 295
% 2.08/2.45  New rule produced :
% 2.08/2.45  [304]
% 2.08/2.45  coantidomain(B) addition multiplication(antidomain(A),codomain(B)) <->
% 2.08/2.45  antidomain(A) addition multiplication(domain(A),coantidomain(B))
% 2.08/2.45  Current number of equations to process: 509
% 2.08/2.45  Current number of ordered equations: 0
% 2.08/2.45  Current number of rules: 296
% 2.08/2.45  New rule produced :
% 2.08/2.45  [305]
% 2.08/2.45  codomain(A) addition multiplication(coantidomain(A),domain(B)) <->
% 2.08/2.45  domain(B) addition multiplication(codomain(A),antidomain(B))
% 2.08/2.45  Current number of equations to process: 505
% 2.08/2.45  Current number of ordered equations: 5
% 2.08/2.45  Current number of rules: 297
% 2.08/2.45  New rule produced :
% 2.08/2.45  [306]
% 2.08/2.45  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 2.08/2.45  antidomain(B) addition multiplication(codomain(A),domain(B))
% 2.08/2.45  Current number of equations to process: 505
% 2.08/2.45  Current number of ordered equations: 4
% 2.24/2.53  Current number of rules: 298
% 2.24/2.53  New rule produced :
% 2.24/2.53  [307]
% 2.24/2.53  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) <->
% 2.24/2.53  antidomain(B) addition multiplication(coantidomain(A),domain(B))
% 2.24/2.53  Current number of equations to process: 505
% 2.24/2.53  Current number of ordered equations: 3
% 2.24/2.53  Current number of rules: 299
% 2.24/2.53  New rule produced :
% 2.24/2.53  [308]
% 2.24/2.53  domain(B) addition multiplication(codomain(A),antidomain(B)) <->
% 2.24/2.53  codomain(A) addition multiplication(coantidomain(A),domain(B))
% 2.24/2.53  Current number of equations to process: 505
% 2.24/2.53  Current number of ordered equations: 2
% 2.24/2.53  Current number of rules: 300
% 2.24/2.53  New rule produced :
% 2.24/2.53  [309]
% 2.24/2.53  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 2.24/2.53  coantidomain(A) addition multiplication(codomain(A),domain(B))
% 2.24/2.53  Current number of equations to process: 505
% 2.24/2.53  Current number of ordered equations: 1
% 2.24/2.53  Current number of rules: 301
% 2.24/2.53  New rule produced :
% 2.24/2.53  [310]
% 2.24/2.53  antidomain(B) addition multiplication(coantidomain(A),domain(B)) <->
% 2.24/2.53  coantidomain(A) addition multiplication(codomain(A),antidomain(B))
% 2.24/2.53  Current number of equations to process: 505
% 2.24/2.53  Current number of ordered equations: 0
% 2.24/2.53  Current number of rules: 302
% 2.24/2.53  New rule produced :
% 2.24/2.53  [311]
% 2.24/2.53  codomain(A) addition multiplication(coantidomain(A),codomain(B)) <->
% 2.24/2.53  codomain(B) addition multiplication(codomain(A),coantidomain(B))
% 2.24/2.53  Current number of equations to process: 501
% 2.24/2.53  Current number of ordered equations: 5
% 2.24/2.53  Current number of rules: 303
% 2.24/2.53  New rule produced :
% 2.24/2.53  [312]
% 2.24/2.53  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 2.24/2.53  coantidomain(B) addition multiplication(codomain(A),codomain(B))
% 2.24/2.53  Current number of equations to process: 501
% 2.24/2.53  Current number of ordered equations: 4
% 2.24/2.53  Current number of rules: 304
% 2.24/2.53  New rule produced :
% 2.24/2.53  [313]
% 2.24/2.53  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) <->
% 2.24/2.53  coantidomain(B) addition multiplication(coantidomain(A),codomain(B))
% 2.24/2.53  Current number of equations to process: 501
% 2.24/2.53  Current number of ordered equations: 3
% 2.24/2.53  Current number of rules: 305
% 2.24/2.53  New rule produced :
% 2.24/2.53  [314]
% 2.24/2.53  codomain(B) addition multiplication(codomain(A),coantidomain(B)) <->
% 2.24/2.53  codomain(A) addition multiplication(coantidomain(A),codomain(B))
% 2.24/2.53  Current number of equations to process: 501
% 2.24/2.53  Current number of ordered equations: 2
% 2.24/2.53  Current number of rules: 306
% 2.24/2.53  New rule produced :
% 2.24/2.53  [315]
% 2.24/2.53  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 2.24/2.53  coantidomain(A) addition multiplication(codomain(A),codomain(B))
% 2.24/2.53  Current number of equations to process: 501
% 2.24/2.53  Current number of ordered equations: 1
% 2.24/2.53  Current number of rules: 307
% 2.24/2.53  New rule produced :
% 2.24/2.53  [316]
% 2.24/2.53  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) <->
% 2.24/2.53  coantidomain(A) addition multiplication(codomain(A),coantidomain(B))
% 2.24/2.53  Current number of equations to process: 501
% 2.24/2.53  Current number of ordered equations: 0
% 2.24/2.53  Current number of rules: 308
% 2.24/2.53  New rule produced :
% 2.24/2.53  [317]
% 2.24/2.53  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(B),C))
% 2.24/2.53  -> zero
% 2.24/2.53  Current number of equations to process: 516
% 2.24/2.53  Current number of ordered equations: 0
% 2.24/2.53  Current number of rules: 309
% 2.24/2.53  New rule produced :
% 2.24/2.53  [318]
% 2.24/2.53  multiplication(multiplication(A,domain(B)),multiplication(antidomain(B),C))
% 2.24/2.54  -> zero
% 2.24/2.54  Current number of equations to process: 515
% 2.24/2.54  Current number of ordered equations: 0
% 2.24/2.54  Current number of rules: 310
% 2.24/2.54  New rule produced :
% 2.24/2.54  [319]
% 2.24/2.54  multiplication(multiplication(A,c(B)),multiplication(domain(B),C)) -> zero
% 2.24/2.54  Current number of equations to process: 514
% 2.24/2.54  Current number of ordered equations: 0
% 2.24/2.54  Current number of rules: 311
% 2.24/2.54  New rule produced :
% 2.24/2.54  [320]
% 2.24/2.54  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(C),X0))
% 2.24/2.54  -> zero
% 2.24/2.54  Current number of equations to process: 537
% 2.24/2.54  Current number of ordered equations: 0
% 2.24/2.54  Current number of rules: 312
% 2.24/2.54  New rule produced :
% 2.24/2.54  [321]
% 2.24/2.54  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(C,X0))
% 2.24/2.54  -> zero
% 2.24/2.54  Current number of equations to process: 536
% 2.24/2.54  Current number of ordered equations: 0
% 2.24/2.54  Current number of rules: 313
% 2.24/2.54  New rule produced :
% 2.24/2.54  [322]
% 2.24/2.54  multiplication(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),X0))
% 2.24/2.54  -> zero
% 2.24/2.54  Current number of equations to process: 535
% 2.24/2.54  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 314
% 2.68/3.00  New rule produced :
% 2.68/3.00  [323]
% 2.68/3.00  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(B,C))
% 2.68/3.00  -> zero
% 2.68/3.00  Current number of equations to process: 533
% 2.68/3.00  Current number of ordered equations: 1
% 2.68/3.00  Current number of rules: 315
% 2.68/3.00  New rule produced :
% 2.68/3.00  [324]
% 2.68/3.00  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(B,C),X0))
% 2.68/3.00  -> zero
% 2.68/3.00  Current number of equations to process: 533
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 316
% 2.68/3.00  New rule produced :
% 2.68/3.00  [325] ifeq2(one addition A,one,leq(domain(B) addition A,one),true) -> true
% 2.68/3.00  Current number of equations to process: 1043
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 317
% 2.68/3.00  New rule produced :
% 2.68/3.00  [326] ifeq(leq(domain(A) addition B,one),true,one addition B,one) -> one
% 2.68/3.00  Current number of equations to process: 1042
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 318
% 2.68/3.00  New rule produced :
% 2.68/3.00  [327]
% 2.68/3.00  ifeq2(one addition A,one,leq(antidomain(B) addition A,one),true) -> true
% 2.68/3.00  Current number of equations to process: 1039
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 319
% 2.68/3.00  New rule produced :
% 2.68/3.00  [328] ifeq(leq(antidomain(A) addition B,one),true,one addition B,one) -> one
% 2.68/3.00  Current number of equations to process: 1038
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 320
% 2.68/3.00  New rule produced :
% 2.68/3.00  [329] ifeq2(one addition A,one,leq(codomain(B) addition A,one),true) -> true
% 2.68/3.00  Current number of equations to process: 1035
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 321
% 2.68/3.00  New rule produced :
% 2.68/3.00  [330] ifeq(leq(codomain(A) addition B,one),true,one addition B,one) -> one
% 2.68/3.00  Current number of equations to process: 1034
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 322
% 2.68/3.00  New rule produced :
% 2.68/3.00  [331]
% 2.68/3.00  ifeq2(one addition A,one,leq(coantidomain(B) addition A,one),true) -> true
% 2.68/3.00  Current number of equations to process: 1031
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 323
% 2.68/3.00  New rule produced :
% 2.68/3.00  [332]
% 2.68/3.00  ifeq(leq(coantidomain(A) addition B,one),true,one addition B,one) -> one
% 2.68/3.00  Current number of equations to process: 1030
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 324
% 2.68/3.00  New rule produced :
% 2.68/3.00  [333] ifeq2(one,domain(domain(A)),leq(c(A),domain(domain(A))),true) -> true
% 2.68/3.00  Current number of equations to process: 1029
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 325
% 2.68/3.00  New rule produced :
% 2.68/3.00  [334]
% 2.68/3.00  ifeq2(one,codomain(coantidomain(A)),leq(codomain(A),codomain(coantidomain(A))),true)
% 2.68/3.00  -> true
% 2.68/3.00  Current number of equations to process: 1028
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 326
% 2.68/3.00  New rule produced :
% 2.68/3.00  [335]
% 2.68/3.00  codomain(multiplication(multiplication(multiplication(codomain(A),B),C),X0))
% 2.68/3.00  -> backward_diamond(multiplication(multiplication(B,C),X0),A)
% 2.68/3.00  Current number of equations to process: 1026
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 327
% 2.68/3.00  New rule produced :
% 2.68/3.00  [336]
% 2.68/3.00  domain(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 2.68/3.00  forward_diamond(multiplication(A,multiplication(B,C)),X0)
% 2.68/3.00  Current number of equations to process: 1024
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 328
% 2.68/3.00  New rule produced :
% 2.68/3.00  [337]
% 2.68/3.00  leq(multiplication(A,domain(B)) addition C,A addition C addition X0) -> true
% 2.68/3.00  Current number of equations to process: 1022
% 2.68/3.00  Current number of ordered equations: 1
% 2.68/3.00  Current number of rules: 329
% 2.68/3.00  New rule produced :
% 2.68/3.00  [338]
% 2.68/3.00  leq(multiplication(A,antidomain(B)) addition C,A addition C addition X0) ->
% 2.68/3.00  true
% 2.68/3.00  Current number of equations to process: 1022
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 330
% 2.68/3.00  New rule produced :
% 2.68/3.00  [339]
% 2.68/3.00  leq(multiplication(A,codomain(B)) addition C,A addition C addition X0) ->
% 2.68/3.00  true
% 2.68/3.00  Current number of equations to process: 1020
% 2.68/3.00  Current number of ordered equations: 1
% 2.68/3.00  Current number of rules: 331
% 2.68/3.00  New rule produced :
% 2.68/3.00  [340]
% 2.68/3.00  leq(multiplication(A,coantidomain(B)) addition C,A addition C addition X0) ->
% 2.68/3.00  true
% 2.68/3.00  Current number of equations to process: 1020
% 2.68/3.00  Current number of ordered equations: 0
% 2.68/3.00  Current number of rules: 332
% 2.68/3.00  New rule produced :
% 2.68/3.00  [341]
% 2.68/3.00  leq(multiplication(domain(A),B) addition C,B addition C addition X0) -> true
% 2.98/3.26  Current number of equations to process: 1018
% 2.98/3.26  Current number of ordered equations: 1
% 2.98/3.26  Current number of rules: 333
% 2.98/3.26  New rule produced :
% 2.98/3.26  [342]
% 2.98/3.26  leq(multiplication(antidomain(A),B) addition C,B addition C addition X0) ->
% 2.98/3.26  true
% 2.98/3.26  Current number of equations to process: 1018
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 334
% 2.98/3.26  New rule produced :
% 2.98/3.26  [343]
% 2.98/3.26  leq(multiplication(codomain(A),B) addition C,B addition C addition X0) ->
% 2.98/3.26  true
% 2.98/3.26  Current number of equations to process: 1016
% 2.98/3.26  Current number of ordered equations: 1
% 2.98/3.26  Current number of rules: 335
% 2.98/3.26  New rule produced :
% 2.98/3.26  [344]
% 2.98/3.26  leq(multiplication(coantidomain(A),B) addition C,B addition C addition X0) ->
% 2.98/3.26  true
% 2.98/3.26  Current number of equations to process: 1016
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 336
% 2.98/3.26  New rule produced :
% 2.98/3.26  [345]
% 2.98/3.26  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 2.98/3.26                                                                     multiplication(B,C)),X0)))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1015
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 337
% 2.98/3.26  New rule produced :
% 2.98/3.26  [346]
% 2.98/3.26  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 2.98/3.26                                                       coantidomain(multiplication(C,X0))))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1014
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 338
% 2.98/3.26  New rule produced :
% 2.98/3.26  [347]
% 2.98/3.26  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(
% 2.98/3.26                                                                  multiplication(B,C),X0)))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1013
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 339
% 2.98/3.26  New rule produced :
% 2.98/3.26  [348]
% 2.98/3.26  multiplication(multiplication(multiplication(A,antidomain(multiplication(B,C))),B),
% 2.98/3.26  multiplication(C,X0)) -> zero
% 2.98/3.26  Current number of equations to process: 1012
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 340
% 2.98/3.26  New rule produced :
% 2.98/3.26  [349]
% 2.98/3.26  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 2.98/3.26  coantidomain(multiplication(C,X0))) -> zero
% 2.98/3.26  Current number of equations to process: 1011
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 341
% 2.98/3.26  New rule produced :
% 2.98/3.26  [350]
% 2.98/3.26  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(
% 2.98/3.26                                                                   multiplication(B,C),X0))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1010
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 342
% 2.98/3.26  New rule produced :
% 2.98/3.26  [351]
% 2.98/3.26  multiplication(antidomain(multiplication(multiplication(A,B),C)),multiplication(A,
% 2.98/3.26                                                                   multiplication(B,C)))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1009
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 343
% 2.98/3.26  New rule produced :
% 2.98/3.26  [352]
% 2.98/3.26  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 2.98/3.26                                                                      multiplication(B,C)),X0))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1007
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 344
% 2.98/3.26  New rule produced :
% 2.98/3.26  [353]
% 2.98/3.26  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(A,
% 2.98/3.26                                                                    multiplication(B,C))))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1005
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 345
% 2.98/3.26  New rule produced :
% 2.98/3.26  [354]
% 2.98/3.26  multiplication(multiplication(A,antidomain(multiplication(B,C))),multiplication(B,
% 2.98/3.26                                                                   multiplication(C,X0)))
% 2.98/3.26  -> zero
% 2.98/3.26  Current number of equations to process: 1003
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 346
% 2.98/3.26  New rule produced : [355] ifeq2(one,c(A),leq(one,c(A)),true) -> true
% 2.98/3.26  Current number of equations to process: 1034
% 2.98/3.26  Current number of ordered equations: 0
% 2.98/3.26  Current number of rules: 347
% 2.98/3.26  New rule produced :
% 3.63/3.93  [356]
% 3.63/3.93  ifeq2(one,forward_diamond(A,B),leq(one,forward_diamond(A,B)),true) -> true
% 3.63/3.93  Current number of equations to process: 1091
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 348
% 3.63/3.93  New rule produced :
% 3.63/3.93  [357]
% 3.63/3.93  ifeq2(one,backward_diamond(A,B),leq(one,backward_diamond(A,B)),true) -> true
% 3.63/3.93  Current number of equations to process: 1090
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 349
% 3.63/3.93  New rule produced : [358] ifeq(leq(one,c(A)),true,one,c(A)) -> c(A)
% 3.63/3.93  Current number of equations to process: 1125
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 350
% 3.63/3.93  New rule produced :
% 3.63/3.93  [359]
% 3.63/3.93  codomain(codomain(A) addition multiplication(codomain(A),B)) ->
% 3.63/3.93  backward_diamond(one addition B,A)
% 3.63/3.93  Current number of equations to process: 1176
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 351
% 3.63/3.93  New rule produced :
% 3.63/3.93  [360]
% 3.63/3.93  ifeq(leq(one,forward_diamond(A,B)),true,one,forward_diamond(A,B)) ->
% 3.63/3.93  forward_diamond(A,B)
% 3.63/3.93  Current number of equations to process: 1176
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 352
% 3.63/3.93  New rule produced :
% 3.63/3.93  [361]
% 3.63/3.93  ifeq(leq(one,backward_diamond(A,B)),true,one,backward_diamond(A,B)) ->
% 3.63/3.93  backward_diamond(A,B)
% 3.63/3.93  Current number of equations to process: 1175
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 353
% 3.63/3.93  New rule produced :
% 3.63/3.93  [362]
% 3.63/3.93  c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 3.63/3.93  antidomain(forward_diamond(A addition C,B))
% 3.63/3.93  Current number of equations to process: 1174
% 3.63/3.93  Current number of ordered equations: 1
% 3.63/3.93  Current number of rules: 354
% 3.63/3.93  New rule produced :
% 3.63/3.93  [363]
% 3.63/3.93  antidomain(forward_diamond(A addition C,B)) <->
% 3.63/3.93  c(multiplication(A,domain(B)) addition multiplication(C,domain(B)))
% 3.63/3.93  Current number of equations to process: 1174
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 355
% 3.63/3.93  New rule produced :
% 3.63/3.93  [364]
% 3.63/3.93  c(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 3.63/3.93  antidomain(forward_diamond(multiplication(A,multiplication(B,C)),X0))
% 3.63/3.93  Current number of equations to process: 1173
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 356
% 3.63/3.93  New rule produced :
% 3.63/3.93  [365]
% 3.63/3.93  domain(domain(A) addition multiplication(B,domain(A))) ->
% 3.63/3.93  forward_diamond(one addition B,A)
% 3.63/3.93  Current number of equations to process: 1218
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 357
% 3.63/3.93  New rule produced :
% 3.63/3.93  [366] forward_diamond(c(B) addition A,B) -> forward_diamond(A,B)
% 3.63/3.93  Current number of equations to process: 1222
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 358
% 3.63/3.93  New rule produced :
% 3.63/3.93  [367]
% 3.63/3.93  domain(multiplication(A,c(B)) addition multiplication(C,c(B))) <->
% 3.63/3.93  forward_diamond(A addition C,antidomain(B))
% 3.63/3.93  Current number of equations to process: 1245
% 3.63/3.93  Current number of ordered equations: 1
% 3.63/3.93  Current number of rules: 359
% 3.63/3.93  New rule produced :
% 3.63/3.93  [368]
% 3.63/3.93  forward_diamond(A addition C,antidomain(B)) <->
% 3.63/3.93  domain(multiplication(A,c(B)) addition multiplication(C,c(B)))
% 3.63/3.93  Current number of equations to process: 1245
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 360
% 3.63/3.93  New rule produced : [369] multiplication(antidomain(A addition B),A) -> zero
% 3.63/3.93  Rule
% 3.63/3.93  [93]
% 3.63/3.93  multiplication(antidomain(A addition B),A) addition multiplication(antidomain(
% 3.63/3.93                                                                     A addition B),B)
% 3.63/3.93  -> zero collapsed.
% 3.63/3.93  Current number of equations to process: 1270
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 360
% 3.63/3.93  New rule produced :
% 3.63/3.93  [370] multiplication(A,coantidomain(A addition B)) -> zero
% 3.63/3.93  Rule
% 3.63/3.93  [94]
% 3.63/3.93  multiplication(A,coantidomain(A addition B)) addition multiplication(B,
% 3.63/3.93                                                        coantidomain(A addition B))
% 3.63/3.93  -> zero collapsed.
% 3.63/3.93  Current number of equations to process: 1274
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 360
% 3.63/3.93  New rule produced :
% 3.63/3.93  [371] codomain(codomain(A)) addition codomain(A) -> codomain(codomain(A))
% 3.63/3.93  Current number of equations to process: 1275
% 3.63/3.93  Current number of ordered equations: 0
% 3.63/3.93  Current number of rules: 361
% 3.63/3.93  New rule produced :
% 3.63/3.93  [372] leq(coantidomain(A),codomain(coantidomain(A))) -> true
% 3.63/3.93  Current number of equations to process: 1288
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 362
% 4.11/4.39  New rule produced :
% 4.11/4.39  [373] leq(coantidomain(A),codomain(coantidomain(A)) addition B) -> true
% 4.11/4.39  Current number of equations to process: 1289
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 363
% 4.11/4.39  New rule produced :
% 4.11/4.39  [374]
% 4.11/4.39  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B) -> true
% 4.11/4.39  Current number of equations to process: 1331
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 364
% 4.11/4.39  New rule produced :
% 4.11/4.39  [375]
% 4.11/4.39  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(
% 4.11/4.39                                                                     codomain(A)),B))
% 4.11/4.39  -> one
% 4.11/4.39  Current number of equations to process: 1332
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 365
% 4.11/4.39  New rule produced :
% 4.11/4.39  [376]
% 4.11/4.39  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 4.11/4.39                                                       coantidomain(B)) ->
% 4.11/4.39  multiplication(A,codomain(coantidomain(B)))
% 4.11/4.39  Current number of equations to process: 1408
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 366
% 4.11/4.39  New rule produced :
% 4.11/4.39  [377]
% 4.11/4.39  multiplication(codomain(coantidomain(A)),B) addition multiplication(coantidomain(A),B)
% 4.11/4.39  -> multiplication(codomain(coantidomain(A)),B)
% 4.11/4.39  Current number of equations to process: 1407
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 367
% 4.11/4.39  New rule produced :
% 4.11/4.39  [378]
% 4.11/4.39  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B addition C)
% 4.11/4.39  -> true
% 4.11/4.39  Current number of equations to process: 1406
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 368
% 4.11/4.39  New rule produced :
% 4.11/4.39  [379]
% 4.11/4.39  backward_diamond(multiplication(A,B),C) addition coantidomain(multiplication(
% 4.11/4.39                                                                backward_diamond(A,C),B))
% 4.11/4.39  -> one
% 4.11/4.39  Current number of equations to process: 1405
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 369
% 4.11/4.39  New rule produced :
% 4.11/4.39  [380]
% 4.11/4.39  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(
% 4.11/4.39                                                                    codomain(A)),B)))
% 4.11/4.39  -> true
% 4.11/4.39  Current number of equations to process: 1406
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 370
% 4.11/4.39  New rule produced :
% 4.11/4.39  [381] domain(domain(A)) addition domain(A) -> domain(domain(A))
% 4.11/4.39  Current number of equations to process: 1425
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 371
% 4.11/4.39  New rule produced : [382] c(domain(A)) addition c(A) -> c(domain(A))
% 4.11/4.39  Current number of equations to process: 1424
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 372
% 4.11/4.39  New rule produced : [383] leq(antidomain(A),c(A)) -> true
% 4.11/4.39  Current number of equations to process: 1437
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 373
% 4.11/4.39  New rule produced : [384] leq(antidomain(A),c(A) addition B) -> true
% 4.11/4.39  Current number of equations to process: 1436
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 374
% 4.11/4.39  New rule produced : [385] c(c(A)) addition domain(domain(A)) -> c(c(A))
% 4.11/4.39  Current number of equations to process: 1447
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 375
% 4.11/4.39  New rule produced :
% 4.11/4.39  [386] leq(antidomain(A) addition B,c(A) addition B) -> true
% 4.11/4.39  Current number of equations to process: 1464
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 376
% 4.11/4.39  New rule produced :
% 4.11/4.39  [387]
% 4.11/4.39  multiplication(A,c(B)) addition multiplication(A,antidomain(B)) ->
% 4.11/4.39  multiplication(A,c(B))
% 4.11/4.39  Current number of equations to process: 1487
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 377
% 4.11/4.39  New rule produced :
% 4.11/4.39  [388]
% 4.11/4.39  multiplication(c(A),B) addition multiplication(antidomain(A),B) ->
% 4.11/4.39  multiplication(c(A),B)
% 4.11/4.39  Current number of equations to process: 1486
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 378
% 4.11/4.39  New rule produced :
% 4.11/4.39  [389] ifeq2(c(A),antidomain(A),leq(c(A),antidomain(A)),true) -> true
% 4.11/4.39  Current number of equations to process: 1485
% 4.11/4.39  Current number of ordered equations: 0
% 4.11/4.39  Current number of rules: 379
% 4.11/4.39  New rule produced :
% 4.11/4.39  [390] leq(antidomain(A) addition B,c(A) addition B addition C) -> true
% 4.30/4.59  Current number of equations to process: 1483
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 380
% 4.30/4.59  New rule produced :
% 4.30/4.59  [391] ifeq(leq(c(A),antidomain(A)),true,c(A),antidomain(A)) -> antidomain(A)
% 4.30/4.59  Current number of equations to process: 1481
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 381
% 4.30/4.59  New rule produced :
% 4.30/4.59  [392]
% 4.30/4.59  antidomain(forward_diamond(A,B)) addition antidomain(multiplication(A,
% 4.30/4.59                                                       domain(B))) ->
% 4.30/4.59  antidomain(forward_diamond(A,B))
% 4.30/4.59  Current number of equations to process: 1480
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 382
% 4.30/4.59  New rule produced :
% 4.30/4.59  [393]
% 4.30/4.59  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(
% 4.30/4.59                                                                   domain(B))))
% 4.30/4.59  -> one
% 4.30/4.59  Current number of equations to process: 1538
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 383
% 4.30/4.59  New rule produced :
% 4.30/4.59  [394]
% 4.30/4.59  domain(multiplication(A,antidomain(B))) addition antidomain(multiplication(A,
% 4.30/4.59                                                              c(B))) -> one
% 4.30/4.59  Current number of equations to process: 1537
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 384
% 4.30/4.59  New rule produced :
% 4.30/4.59  [395]
% 4.30/4.59  leq(antidomain(multiplication(A,antidomain(B))),antidomain(multiplication(A,
% 4.30/4.59                                                             c(B)))) -> true
% 4.30/4.59  Current number of equations to process: 1559
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 385
% 4.30/4.59  New rule produced :
% 4.30/4.59  [396]
% 4.30/4.59  forward_diamond(multiplication(A,B),C) addition antidomain(multiplication(A,
% 4.30/4.59                                                             forward_diamond(B,C)))
% 4.30/4.59  -> one
% 4.30/4.59  Current number of equations to process: 1558
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 386
% 4.30/4.59  New rule produced :
% 4.30/4.59  [397]
% 4.30/4.59  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(
% 4.30/4.59                                                                  domain(B)))))
% 4.30/4.59  -> true
% 4.30/4.59  Current number of equations to process: 1576
% 4.30/4.59  Current number of ordered equations: 0
% 4.30/4.59  Current number of rules: 387
% 4.30/4.59  Rule [291]
% 4.30/4.59       backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 4.30/4.59                                                                     codomain(B),A)),C)),B)
% 4.30/4.59       -> codomain(zero) is composed into [291]
% 4.30/4.59                                          backward_diamond(multiplication(A,
% 4.30/4.59                                                           multiplication(
% 4.30/4.59                                                           coantidomain(
% 4.30/4.59                                                           multiplication(
% 4.30/4.59                                                           codomain(B),A)),C)),B)
% 4.30/4.59                                          -> zero
% 4.30/4.59  Rule [288]
% 4.30/4.59       backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 4.30/4.59       multiplication(codomain(B),A)) -> codomain(zero) is composed into 
% 4.30/4.59  [288]
% 4.30/4.59  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 4.30/4.59  multiplication(codomain(B),A)) -> zero
% 4.30/4.59  Rule [231]
% 4.30/4.59       backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 4.30/4.59       -> codomain(zero) is composed into [231]
% 4.30/4.59                                          backward_diamond(multiplication(A,
% 4.30/4.59                                                           coantidomain(
% 4.30/4.59                                                           multiplication(
% 4.30/4.59                                                           codomain(B),A))),B)
% 4.30/4.59                                          -> zero
% 4.30/4.59  Rule [192]
% 4.30/4.59       backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 4.30/4.59                                                            codomain(B),A)) ->
% 4.30/4.59       codomain(zero) is composed into [192]
% 4.30/4.59                                       backward_diamond(coantidomain(backward_diamond(A,B)),
% 4.30/4.59                                       multiplication(codomain(B),A)) -> zero
% 4.30/4.59  Rule [164]
% 4.30/4.59       backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) ->
% 4.30/4.59       codomain(zero) is composed into [164]
% 4.30/4.59                                       backward_diamond(codomain(codomain(
% 4.36/4.65                                                                 coantidomain(A))),
% 4.36/4.65                                       codomain(A)) -> zero
% 4.36/4.65  Rule [161]
% 4.36/4.65       backward_diamond(codomain(codomain(A)),coantidomain(A)) ->
% 4.36/4.65       codomain(zero) is composed into [161]
% 4.36/4.65                                       backward_diamond(codomain(codomain(A)),
% 4.36/4.65                                       coantidomain(A)) -> zero
% 4.36/4.65  Rule [45] backward_diamond(codomain(coantidomain(A)),A) -> codomain(zero) is composed into 
% 4.36/4.65  [45] backward_diamond(codomain(coantidomain(A)),A) -> zero
% 4.36/4.65  Rule [32] backward_diamond(zero,A) -> codomain(zero) is composed into 
% 4.36/4.65  [32] backward_diamond(zero,A) -> zero
% 4.36/4.65  New rule produced : [398] codomain(zero) -> zero
% 4.36/4.65  Rule [163] backward_diamond(codomain(zero),one) -> codomain(zero) collapsed.
% 4.36/4.65  Rule [193] coantidomain(multiplication(codomain(zero),A)) -> one collapsed.
% 4.36/4.65  Current number of equations to process: 1576
% 4.36/4.65  Current number of ordered equations: 0
% 4.36/4.65  Current number of rules: 386
% 4.36/4.65  New rule produced : [399] backward_diamond(A,one) -> codomain(A)
% 4.36/4.65  Current number of equations to process: 1576
% 4.36/4.65  Current number of ordered equations: 0
% 4.36/4.65  Current number of rules: 387
% 4.36/4.65  Rule [292]
% 4.36/4.65       forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 4.36/4.65                                                                  domain(C)))),B),C)
% 4.36/4.65       -> c(one) is composed into [292]
% 4.36/4.65                                  forward_diamond(multiplication(multiplication(A,
% 4.36/4.65                                                                 antidomain(
% 4.36/4.65                                                                 multiplication(B,
% 4.36/4.65                                                                 domain(C)))),B),C)
% 4.36/4.65                                  -> zero
% 4.36/4.65  Rule [290]
% 4.36/4.65       forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),
% 4.36/4.65       multiplication(B,domain(C))) -> c(one) is composed into [290]
% 4.36/4.65                                                               forward_diamond(
% 4.36/4.65                                                               multiplication(A,
% 4.36/4.65                                                               antidomain(
% 4.36/4.65                                                               forward_diamond(B,C))),
% 4.36/4.65                                                               multiplication(B,
% 4.36/4.65                                                               domain(C))) ->
% 4.36/4.65                                                               zero
% 4.36/4.65  Rule [235] forward_diamond(multiplication(A,c(B)),B) -> c(one) is composed into 
% 4.36/4.65  [235] forward_diamond(multiplication(A,c(B)),B) -> zero
% 4.36/4.65  Rule [233]
% 4.36/4.65       forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 4.36/4.65       -> c(one) is composed into [233]
% 4.36/4.65                                  forward_diamond(multiplication(antidomain(
% 4.36/4.65                                                                 multiplication(A,
% 4.36/4.65                                                                 domain(B))),A),B)
% 4.36/4.65                                  -> zero
% 4.36/4.65  Rule [205]
% 4.36/4.65       forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,
% 4.36/4.65                                                        domain(B))) -> 
% 4.36/4.65       c(one) is composed into [205]
% 4.36/4.65                               forward_diamond(antidomain(forward_diamond(A,B)),
% 4.36/4.65                               multiplication(A,domain(B))) -> zero
% 4.36/4.65  Rule [157] forward_diamond(c(A),A) -> c(one) is composed into [157]
% 4.36/4.65                                                                forward_diamond(
% 4.36/4.65                                                                c(A),A) -> zero
% 4.36/4.65  Rule [118] domain(zero) -> c(one) is composed into [118] domain(zero) -> zero
% 4.36/4.65  Rule [33] forward_diamond(zero,A) -> c(one) is composed into [33]
% 4.36/4.65                                                               forward_diamond(zero,A)
% 4.36/4.65                                                               -> zero
% 4.36/4.65  New rule produced : [400] c(one) -> zero
% 4.36/4.65  Rule [194] antidomain(multiplication(A,c(one))) -> one collapsed.
% 4.36/4.65  Current number of equations to process: 1576
% 4.36/4.65  Current number of ordered equations: 0
% 4.36/4.65  Current number of rules: 387
% 4.36/4.65  New rule produced : [401] forward_diamond(A,one) -> domain(A)
% 4.48/4.77  Current number of equations to process: 1576
% 4.48/4.77  Current number of ordered equations: 0
% 4.48/4.77  Current number of rules: 388
% 4.48/4.77  New rule produced : [402] multiplication(c(c(A)),c(domain(A))) -> zero
% 4.48/4.77  Current number of equations to process: 1585
% 4.48/4.77  Current number of ordered equations: 0
% 4.48/4.77  Current number of rules: 389
% 4.48/4.77  New rule produced : [403] c(c(A)) addition c(domain(A)) -> one
% 4.48/4.77  Current number of equations to process: 1584
% 4.48/4.77  Current number of ordered equations: 0
% 4.48/4.77  Current number of rules: 390
% 4.48/4.77  New rule produced : [404] c(c(A)) addition c(domain(domain(A))) -> one
% 4.48/4.77  Current number of equations to process: 1587
% 4.48/4.77  Current number of ordered equations: 0
% 4.48/4.77  Current number of rules: 391
% 4.48/4.77  New rule produced : [405] forward_diamond(A,zero) -> zero
% 4.48/4.77  Current number of equations to process: 1606
% 4.48/4.77  Current number of ordered equations: 0
% 4.48/4.77  Current number of rules: 392
% 4.48/4.77  New rule produced :
% 4.48/4.77  [406]
% 4.48/4.77  coantidomain(multiplication(codomain(codomain(A)),codomain(coantidomain(A))))
% 4.48/4.77  -> one
% 4.48/4.77  Current number of equations to process: 1609
% 4.48/4.77  Current number of ordered equations: 0
% 4.48/4.77  Current number of rules: 393
% 4.48/4.77  New rule produced :
% 4.48/4.77  [407] backward_diamond(multiplication(codomain(coantidomain(A)),B),A) -> zero
% 4.48/4.77  Current number of equations to process: 1612
% 4.48/4.77  Current number of ordered equations: 0
% 4.48/4.77  Current number of rules: 394
% 4.48/4.77  Rule [34] coantidomain(codomain(A)) -> codomain(coantidomain(A)) is composed into 
% 4.48/4.77  [34] coantidomain(codomain(A)) -> coantidomain(A)
% 4.48/4.77  New rule produced : [408] codomain(coantidomain(A)) -> coantidomain(A)
% 4.48/4.77  Rule [45] backward_diamond(codomain(coantidomain(A)),A) -> zero collapsed.
% 4.48/4.77  Rule [48] codomain(coantidomain(A)) addition codomain(A) -> one collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [95]
% 4.48/4.77  codomain(coantidomain(A)) addition coantidomain(A) ->
% 4.48/4.77  codomain(coantidomain(A)) collapsed.
% 4.48/4.77  Rule [119] multiplication(codomain(A),codomain(coantidomain(A))) -> zero
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule [120] codomain(codomain(A)) addition codomain(coantidomain(A)) -> one
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [121]
% 4.48/4.77  codomain(coantidomain(multiplication(codomain(B),A))) ->
% 4.48/4.77  coantidomain(backward_diamond(A,B)) collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [150]
% 4.48/4.77  coantidomain(multiplication(codomain(coantidomain(A)),codomain(A))) -> one
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [152] multiplication(codomain(coantidomain(A)),codomain(codomain(A))) -> zero
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [164]
% 4.48/4.77  backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) -> zero
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [174]
% 4.48/4.77  codomain(codomain(coantidomain(A))) addition codomain(codomain(A)) -> one
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [181]
% 4.48/4.77  multiplication(multiplication(A,codomain(B)),codomain(coantidomain(B))) ->
% 4.48/4.77  zero collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [188]
% 4.48/4.77  multiplication(codomain(A),multiplication(codomain(coantidomain(A)),B)) ->
% 4.48/4.77  zero collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [199]
% 4.48/4.77  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 4.48/4.77                                                       codomain(B)) -> A
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [200]
% 4.48/4.77  multiplication(codomain(coantidomain(B)),A) addition multiplication(codomain(B),A)
% 4.48/4.77  -> A collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [206]
% 4.48/4.77  codomain(coantidomain(multiplication(backward_diamond(C,B),A))) ->
% 4.48/4.77  coantidomain(backward_diamond(A,multiplication(codomain(B),C))) collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [220]
% 4.48/4.77  ifeq2(one,codomain(A),leq(codomain(coantidomain(A)),codomain(A)),true) ->
% 4.48/4.77  true collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [234]
% 4.48/4.77  codomain(coantidomain(multiplication(multiplication(codomain(C),A),B))) ->
% 4.48/4.77  coantidomain(backward_diamond(multiplication(A,B),C)) collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [261]
% 4.48/4.77  multiplication(A,codomain(codomain(B))) addition multiplication(A,codomain(
% 4.48/4.77                                                                    coantidomain(B)))
% 4.48/4.77  -> A collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [280]
% 4.48/4.77  multiplication(codomain(codomain(A)),B) addition multiplication(codomain(
% 4.48/4.77                                                                  coantidomain(A)),B)
% 4.48/4.77  -> B collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [286]
% 4.48/4.77  ifeq(leq(codomain(coantidomain(A)),codomain(A)),true,one,codomain(A)) ->
% 4.48/4.77  codomain(A) collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [334]
% 4.48/4.77  ifeq2(one,codomain(coantidomain(A)),leq(codomain(A),codomain(coantidomain(A))),true)
% 4.48/4.77  -> true collapsed.
% 4.48/4.77  Rule [372] leq(coantidomain(A),codomain(coantidomain(A))) -> true collapsed.
% 4.48/4.77  Rule [373] leq(coantidomain(A),codomain(coantidomain(A)) addition B) -> true
% 4.48/4.77  collapsed.
% 4.48/4.77  Rule
% 4.48/4.77  [374]
% 4.48/4.77  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B) -> true
% 4.58/4.85  collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [376]
% 4.58/4.85  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 4.58/4.85                                                       coantidomain(B)) ->
% 4.58/4.85  multiplication(A,codomain(coantidomain(B))) collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [377]
% 4.58/4.85  multiplication(codomain(coantidomain(A)),B) addition multiplication(coantidomain(A),B)
% 4.58/4.85  -> multiplication(codomain(coantidomain(A)),B) collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [378]
% 4.58/4.85  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B addition C)
% 4.58/4.85  -> true collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [406]
% 4.58/4.85  coantidomain(multiplication(codomain(codomain(A)),codomain(coantidomain(A))))
% 4.58/4.85  -> one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [407] backward_diamond(multiplication(codomain(coantidomain(A)),B),A) -> zero
% 4.58/4.85  collapsed.
% 4.58/4.85  Current number of equations to process: 1627
% 4.58/4.85  Current number of ordered equations: 0
% 4.58/4.85  Current number of rules: 366
% 4.58/4.85  New rule produced : [409] backward_diamond(coantidomain(A),A) -> zero
% 4.58/4.85  Current number of equations to process: 1626
% 4.58/4.85  Current number of ordered equations: 0
% 4.58/4.85  Current number of rules: 367
% 4.58/4.85  New rule produced : [410] multiplication(codomain(A),coantidomain(A)) -> zero
% 4.58/4.85  Rule [281] coantidomain(multiplication(codomain(A),coantidomain(A))) -> one
% 4.58/4.85  collapsed.
% 4.58/4.85  Current number of equations to process: 1625
% 4.58/4.85  Current number of ordered equations: 0
% 4.58/4.85  Current number of rules: 367
% 4.58/4.85  New rule produced :
% 4.58/4.85  [411] backward_diamond(coantidomain(A),codomain(A)) -> zero
% 4.58/4.85  Current number of equations to process: 1624
% 4.58/4.85  Current number of ordered equations: 0
% 4.58/4.85  Current number of rules: 368
% 4.58/4.85  New rule produced :
% 4.58/4.85  [412] multiplication(coantidomain(A),codomain(codomain(A))) -> zero
% 4.58/4.85  Current number of equations to process: 1623
% 4.58/4.85  Current number of ordered equations: 0
% 4.58/4.85  Current number of rules: 369
% 4.58/4.85  New rule produced :
% 4.58/4.85  [413] codomain(codomain(A)) addition coantidomain(A) -> one
% 4.58/4.85  Current number of equations to process: 1622
% 4.58/4.85  Current number of ordered equations: 0
% 4.58/4.85  Current number of rules: 370
% 4.58/4.85  New rule produced :
% 4.58/4.85  [414] backward_diamond(multiplication(coantidomain(A),B),A) -> zero
% 4.58/4.85  Current number of equations to process: 1621
% 4.58/4.85  Current number of ordered equations: 0
% 4.58/4.85  Current number of rules: 371
% 4.58/4.85  New rule produced :
% 4.58/4.85  [415]
% 4.58/4.85  coantidomain(multiplication(codomain(B),A)) ->
% 4.58/4.85  coantidomain(backward_diamond(A,B))
% 4.58/4.85  Rule
% 4.58/4.85  [27]
% 4.58/4.85  coantidomain(multiplication(codomain(X0),X1)) addition coantidomain(multiplication(X0,X1))
% 4.58/4.85  -> coantidomain(multiplication(codomain(X0),X1)) collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [62]
% 4.58/4.85  backward_diamond(A,B) addition coantidomain(multiplication(codomain(B),A)) ->
% 4.58/4.85  one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [98]
% 4.58/4.85  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(A),B))
% 4.58/4.85  -> one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [99]
% 4.58/4.85  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)))
% 4.58/4.85  -> true collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [102]
% 4.58/4.85  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)) addition C)
% 4.58/4.85  -> true collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [149]
% 4.58/4.85  multiplication(coantidomain(multiplication(codomain(A),B)),backward_diamond(B,A))
% 4.58/4.85  -> zero collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [156] coantidomain(multiplication(codomain(domain(A)),antidomain(A))) -> one
% 4.58/4.85  collapsed.
% 4.58/4.85  Rule [160] coantidomain(multiplication(codomain(c(A)),domain(A))) -> one
% 4.58/4.85  collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [179]
% 4.58/4.85  coantidomain(multiplication(codomain(multiplication(A,B)),coantidomain(B)))
% 4.58/4.85  -> one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [183]
% 4.58/4.85  coantidomain(multiplication(codomain(multiplication(A,antidomain(B))),B)) ->
% 4.58/4.85  one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [186]
% 4.58/4.85  coantidomain(multiplication(codomain(A),multiplication(coantidomain(A),B)))
% 4.58/4.85  -> one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [189]
% 4.58/4.85  coantidomain(multiplication(codomain(antidomain(A)),multiplication(A,B))) ->
% 4.58/4.85  one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [227]
% 4.58/4.85  backward_diamond(A,B) addition coantidomain(multiplication(codomain(codomain(B)),A))
% 4.58/4.85  -> one collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [231]
% 4.58/4.85  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 4.58/4.85  -> zero collapsed.
% 4.58/4.85  Rule [282] coantidomain(multiplication(codomain(antidomain(A)),A)) -> one
% 4.58/4.85  collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [291]
% 4.58/4.85  backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 4.58/4.85                                                                codomain(B),A)),C)),B)
% 4.58/4.85  -> zero collapsed.
% 4.58/4.85  Rule
% 4.58/4.85  [375]
% 4.58/4.85  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(
% 4.66/4.92                                                                     codomain(A)),B))
% 4.66/4.92  -> one collapsed.
% 4.66/4.92  Rule
% 4.66/4.92  [380]
% 4.66/4.92  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(
% 4.66/4.92                                                                    codomain(A)),B)))
% 4.66/4.92  -> true collapsed.
% 4.66/4.92  Current number of equations to process: 1636
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 354
% 4.66/4.92  New rule produced :
% 4.66/4.92  [416]
% 4.66/4.92  coantidomain(backward_diamond(X1,X0)) addition coantidomain(multiplication(X0,X1))
% 4.66/4.92  -> coantidomain(backward_diamond(X1,X0))
% 4.66/4.92  Current number of equations to process: 1635
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 355
% 4.66/4.92  New rule produced :
% 4.66/4.92  [417] coantidomain(backward_diamond(A,antidomain(A))) -> one
% 4.66/4.92  Current number of equations to process: 1634
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 356
% 4.66/4.92  New rule produced :
% 4.66/4.92  [418] coantidomain(backward_diamond(antidomain(A),domain(A))) -> one
% 4.66/4.92  Current number of equations to process: 1633
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 357
% 4.66/4.92  New rule produced :
% 4.66/4.92  [419] coantidomain(backward_diamond(domain(A),c(A))) -> one
% 4.66/4.92  Current number of equations to process: 1632
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 358
% 4.66/4.92  New rule produced :
% 4.66/4.92  [420]
% 4.66/4.92  coantidomain(backward_diamond(coantidomain(B),multiplication(A,B))) -> one
% 4.66/4.92  Current number of equations to process: 1630
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 359
% 4.66/4.92  New rule produced :
% 4.66/4.92  [421] multiplication(multiplication(A,codomain(B)),coantidomain(B)) -> zero
% 4.66/4.92  Current number of equations to process: 1629
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 360
% 4.66/4.92  New rule produced :
% 4.66/4.92  [422]
% 4.66/4.92  coantidomain(backward_diamond(B,multiplication(A,antidomain(B)))) -> one
% 4.66/4.92  Current number of equations to process: 1628
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 361
% 4.66/4.92  New rule produced :
% 4.66/4.92  [423] multiplication(codomain(A),multiplication(coantidomain(A),B)) -> zero
% 4.66/4.92  Current number of equations to process: 1627
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 362
% 4.66/4.92  New rule produced :
% 4.66/4.92  [424]
% 4.66/4.92  coantidomain(backward_diamond(multiplication(A,B),antidomain(A))) -> one
% 4.66/4.92  Current number of equations to process: 1626
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 363
% 4.66/4.92  New rule produced :
% 4.66/4.92  [425]
% 4.66/4.92  multiplication(coantidomain(backward_diamond(B,A)),backward_diamond(B,A)) ->
% 4.66/4.92  zero
% 4.66/4.92  Current number of equations to process: 1624
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 364
% 4.66/4.92  New rule produced :
% 4.66/4.92  [426]
% 4.66/4.92  backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),B) ->
% 4.66/4.92  zero
% 4.66/4.92  Current number of equations to process: 1623
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 365
% 4.66/4.92  New rule produced :
% 4.66/4.92  [427] antidomain(multiplication(codomain(A),domain(coantidomain(A)))) -> one
% 4.66/4.92  Current number of equations to process: 1622
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 366
% 4.66/4.92  New rule produced :
% 4.66/4.92  [428] multiplication(codomain(codomain(A)),coantidomain(A)) -> zero
% 4.66/4.92  Current number of equations to process: 1621
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 367
% 4.66/4.92  New rule produced :
% 4.66/4.92  [429]
% 4.66/4.92  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,A)) ->
% 4.66/4.92  one
% 4.66/4.92  Current number of equations to process: 1620
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 368
% 4.66/4.92  New rule produced :
% 4.66/4.92  [430]
% 4.66/4.92  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A))) ->
% 4.66/4.92  true
% 4.66/4.92  Current number of equations to process: 1619
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 369
% 4.66/4.92  New rule produced :
% 4.66/4.92  [431]
% 4.66/4.92  backward_diamond(A,B) addition coantidomain(backward_diamond(A,codomain(B)))
% 4.66/4.92  -> one
% 4.66/4.92  Current number of equations to process: 1618
% 4.66/4.92  Current number of ordered equations: 0
% 4.66/4.92  Current number of rules: 370
% 4.66/4.92  New rule produced :
% 4.66/4.92  [432]
% 4.66/4.92  coantidomain(multiplication(backward_diamond(C,B),A)) ->
% 4.66/4.92  coantidomain(backward_diamond(A,multiplication(codomain(B),C)))
% 4.66/4.92  Rule
% 4.66/4.92  [379]
% 4.66/4.92  backward_diamond(multiplication(A,B),C) addition coantidomain(multiplication(
% 4.66/4.92                                                                backward_diamond(A,C),B))
% 4.99/5.29  -> one collapsed.
% 4.99/5.29  Current number of equations to process: 1618
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 370
% 4.99/5.29  New rule produced :
% 4.99/5.29  [433]
% 4.99/5.29  coantidomain(multiplication(multiplication(codomain(C),A),B)) ->
% 4.99/5.29  coantidomain(backward_diamond(multiplication(A,B),C))
% 4.99/5.29  Current number of equations to process: 1617
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 371
% 4.99/5.29  New rule produced :
% 4.99/5.29  [434] forward_diamond(domain(domain(A)),antidomain(A)) -> zero
% 4.99/5.29  Current number of equations to process: 1620
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 372
% 4.99/5.29  New rule produced :
% 4.99/5.29  [435] multiplication(c(domain(domain(A))),c(c(A))) -> zero
% 4.99/5.29  Current number of equations to process: 1620
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 373
% 4.99/5.29  New rule produced :
% 4.99/5.29  [436] multiplication(A,forward_diamond(B,C)) addition A -> A
% 4.99/5.29  Current number of equations to process: 1642
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 374
% 4.99/5.29  New rule produced :
% 4.99/5.29  [437] multiplication(forward_diamond(B,C),A) addition A -> A
% 4.99/5.29  Current number of equations to process: 1641
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 375
% 4.99/5.29  New rule produced :
% 4.99/5.29  [438] one addition multiplication(antidomain(A),domain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1655
% 4.99/5.29  Current number of ordered equations: 1
% 4.99/5.29  Current number of rules: 376
% 4.99/5.29  New rule produced :
% 4.99/5.29  [439] one addition multiplication(domain(A),domain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1655
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 377
% 4.99/5.29  New rule produced :
% 4.99/5.29  [440] one addition multiplication(coantidomain(A),domain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1653
% 4.99/5.29  Current number of ordered equations: 1
% 4.99/5.29  Current number of rules: 378
% 4.99/5.29  New rule produced :
% 4.99/5.29  [441] one addition multiplication(codomain(A),domain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1653
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 379
% 4.99/5.29  New rule produced : [442] multiplication(A,c(B)) addition A -> A
% 4.99/5.29  Current number of equations to process: 1675
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 380
% 4.99/5.29  New rule produced : [443] one addition multiplication(c(A),domain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1674
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 381
% 4.99/5.29  New rule produced :
% 4.99/5.29  [444] one addition multiplication(forward_diamond(A,B),domain(C)) -> one
% 4.99/5.29  Current number of equations to process: 1707
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 382
% 4.99/5.29  New rule produced :
% 4.99/5.29  [445] c(A) addition multiplication(antidomain(A),domain(B)) -> c(A)
% 4.99/5.29  Current number of equations to process: 1717
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 383
% 4.99/5.29  New rule produced :
% 4.99/5.29  [446] one addition multiplication(domain(A),antidomain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1727
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 384
% 4.99/5.29  New rule produced :
% 4.99/5.29  [447] one addition multiplication(domain(A),coantidomain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1725
% 4.99/5.29  Current number of ordered equations: 1
% 4.99/5.29  Current number of rules: 385
% 4.99/5.29  New rule produced :
% 4.99/5.29  [448] one addition multiplication(domain(A),codomain(B)) -> one
% 4.99/5.29  Current number of equations to process: 1725
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 386
% 4.99/5.29  New rule produced :
% 4.99/5.29  [449] multiplication(multiplication(A,domain(B)),domain(C)) addition A -> A
% 4.99/5.29  Current number of equations to process: 1740
% 4.99/5.29  Current number of ordered equations: 1
% 4.99/5.29  Current number of rules: 387
% 4.99/5.29  New rule produced :
% 4.99/5.29  [450]
% 4.99/5.29  multiplication(multiplication(A,antidomain(B)),domain(C)) addition A -> A
% 4.99/5.29  Current number of equations to process: 1740
% 4.99/5.29  Current number of ordered equations: 0
% 4.99/5.29  Current number of rules: 388
% 4.99/5.29  New rule produced :
% 4.99/5.29  [451] multiplication(multiplication(A,codomain(B)),domain(C)) addition A -> A
% 4.99/5.29  Current number of equations to process: 1738
% 4.99/5.29  Current number of ordered equations: 1
% 4.99/5.29  Current number of rules: 389
% 4.99/5.29  New rule produced :
% 4.99/5.29  [452]
% 4.99/5.29  multiplication(multiplication(A,coantidomain(B)),domain(C)) addition A -> A
% 5.40/5.70  Current number of equations to process: 1738
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 390
% 5.40/5.70  New rule produced :
% 5.40/5.70  [453] multiplication(multiplication(domain(A),B),domain(C)) addition B -> B
% 5.40/5.70  Current number of equations to process: 1736
% 5.40/5.70  Current number of ordered equations: 1
% 5.40/5.70  Current number of rules: 391
% 5.40/5.70  New rule produced :
% 5.40/5.70  [454]
% 5.40/5.70  multiplication(multiplication(antidomain(A),B),domain(C)) addition B -> B
% 5.40/5.70  Current number of equations to process: 1736
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 392
% 5.40/5.70  New rule produced :
% 5.40/5.70  [455] multiplication(multiplication(codomain(A),B),domain(C)) addition B -> B
% 5.40/5.70  Current number of equations to process: 1734
% 5.40/5.70  Current number of ordered equations: 1
% 5.40/5.70  Current number of rules: 393
% 5.40/5.70  New rule produced :
% 5.40/5.70  [456]
% 5.40/5.70  multiplication(multiplication(coantidomain(A),B),domain(C)) addition B -> B
% 5.40/5.70  Current number of equations to process: 1734
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 394
% 5.40/5.70  New rule produced : [457] multiplication(c(A),B) addition B -> B
% 5.40/5.70  Current number of equations to process: 1738
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 395
% 5.40/5.70  New rule produced : [458] one addition multiplication(domain(A),c(B)) -> one
% 5.40/5.70  Current number of equations to process: 1737
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 396
% 5.40/5.70  New rule produced :
% 5.40/5.70  [459] one addition multiplication(domain(A),forward_diamond(B,C)) -> one
% 5.40/5.70  Current number of equations to process: 1770
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 397
% 5.40/5.70  New rule produced :
% 5.40/5.70  [460] c(A) addition multiplication(domain(B),antidomain(A)) -> c(A)
% 5.40/5.70  Current number of equations to process: 1780
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 398
% 5.40/5.70  New rule produced :
% 5.40/5.70  [461] multiplication(domain(A),multiplication(B,domain(C))) addition B -> B
% 5.40/5.70  Current number of equations to process: 1783
% 5.40/5.70  Current number of ordered equations: 1
% 5.40/5.70  Current number of rules: 399
% 5.40/5.70  New rule produced :
% 5.40/5.70  [462]
% 5.40/5.70  multiplication(domain(A),multiplication(B,antidomain(C))) addition B -> B
% 5.40/5.70  Current number of equations to process: 1783
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 400
% 5.40/5.70  New rule produced :
% 5.40/5.70  [463] multiplication(domain(A),multiplication(B,codomain(C))) addition B -> B
% 5.40/5.70  Current number of equations to process: 1781
% 5.40/5.70  Current number of ordered equations: 1
% 5.40/5.70  Current number of rules: 401
% 5.40/5.70  New rule produced :
% 5.40/5.70  [464]
% 5.40/5.70  multiplication(domain(A),multiplication(B,coantidomain(C))) addition B -> B
% 5.40/5.70  Current number of equations to process: 1781
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 402
% 5.40/5.70  New rule produced :
% 5.40/5.70  [465] multiplication(domain(A),multiplication(domain(B),C)) addition C -> C
% 5.40/5.70  Current number of equations to process: 1779
% 5.40/5.70  Current number of ordered equations: 1
% 5.40/5.70  Current number of rules: 403
% 5.40/5.70  New rule produced :
% 5.40/5.70  [466]
% 5.40/5.70  multiplication(domain(A),multiplication(antidomain(B),C)) addition C -> C
% 5.40/5.70  Current number of equations to process: 1779
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 404
% 5.40/5.70  New rule produced :
% 5.40/5.70  [467] multiplication(domain(A),multiplication(codomain(B),C)) addition C -> C
% 5.40/5.70  Current number of equations to process: 1777
% 5.40/5.70  Current number of ordered equations: 1
% 5.40/5.70  Current number of rules: 405
% 5.40/5.70  New rule produced :
% 5.40/5.70  [468]
% 5.40/5.70  multiplication(domain(A),multiplication(coantidomain(B),C)) addition C -> C
% 5.40/5.70  Current number of equations to process: 1777
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 406
% 5.40/5.70  New rule produced :
% 5.40/5.70  [469] one addition multiplication(antidomain(A),antidomain(B)) -> one
% 5.40/5.70  Current number of equations to process: 1797
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 407
% 5.40/5.70  New rule produced :
% 5.40/5.70  [470] one addition multiplication(codomain(A),antidomain(B)) -> one
% 5.40/5.70  Current number of equations to process: 1795
% 5.40/5.70  Current number of ordered equations: 1
% 5.40/5.70  Current number of rules: 408
% 5.40/5.70  New rule produced :
% 5.40/5.70  [471] one addition multiplication(coantidomain(A),antidomain(B)) -> one
% 5.40/5.70  Current number of equations to process: 1795
% 5.40/5.70  Current number of ordered equations: 0
% 5.40/5.70  Current number of rules: 409
% 5.40/5.70  New rule produced :
% 5.91/6.15  [472] one addition multiplication(c(A),antidomain(B)) -> one
% 5.91/6.15  Current number of equations to process: 1815
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 410
% 5.91/6.15  New rule produced :
% 5.91/6.15  [473] one addition multiplication(forward_diamond(A,B),antidomain(C)) -> one
% 5.91/6.15  Current number of equations to process: 1848
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 411
% 5.91/6.15  New rule produced :
% 5.91/6.15  [474] c(A) addition multiplication(antidomain(A),antidomain(B)) -> c(A)
% 5.91/6.15  Current number of equations to process: 1858
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 412
% 5.91/6.15  New rule produced :
% 5.91/6.15  [475] one addition multiplication(antidomain(A),codomain(B)) -> one
% 5.91/6.15  Current number of equations to process: 1869
% 5.91/6.15  Current number of ordered equations: 1
% 5.91/6.15  Current number of rules: 413
% 5.91/6.15  New rule produced :
% 5.91/6.15  [476] one addition multiplication(antidomain(A),coantidomain(B)) -> one
% 5.91/6.15  Current number of equations to process: 1869
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 414
% 5.91/6.15  New rule produced :
% 5.91/6.15  [477]
% 5.91/6.15  multiplication(multiplication(A,domain(B)),antidomain(C)) addition A -> A
% 5.91/6.15  Current number of equations to process: 1885
% 5.91/6.15  Current number of ordered equations: 1
% 5.91/6.15  Current number of rules: 415
% 5.91/6.15  New rule produced :
% 5.91/6.15  [478]
% 5.91/6.15  multiplication(multiplication(A,antidomain(B)),antidomain(C)) addition A -> A
% 5.91/6.15  Current number of equations to process: 1885
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 416
% 5.91/6.15  New rule produced :
% 5.91/6.15  [479]
% 5.91/6.15  multiplication(multiplication(A,codomain(B)),antidomain(C)) addition A -> A
% 5.91/6.15  Current number of equations to process: 1883
% 5.91/6.15  Current number of ordered equations: 1
% 5.91/6.15  Current number of rules: 417
% 5.91/6.15  New rule produced :
% 5.91/6.15  [480]
% 5.91/6.15  multiplication(multiplication(A,coantidomain(B)),antidomain(C)) addition A ->
% 5.91/6.15  A
% 5.91/6.15  Current number of equations to process: 1883
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 418
% 5.91/6.15  New rule produced :
% 5.91/6.15  [481]
% 5.91/6.15  multiplication(multiplication(antidomain(A),B),antidomain(C)) addition B -> B
% 5.91/6.15  Current number of equations to process: 1881
% 5.91/6.15  Current number of ordered equations: 1
% 5.91/6.15  Current number of rules: 419
% 5.91/6.15  New rule produced :
% 5.91/6.15  [482]
% 5.91/6.15  multiplication(multiplication(domain(A),B),antidomain(C)) addition B -> B
% 5.91/6.15  Current number of equations to process: 1881
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 420
% 5.91/6.15  New rule produced :
% 5.91/6.15  [483]
% 5.91/6.15  multiplication(multiplication(codomain(A),B),antidomain(C)) addition B -> B
% 5.91/6.15  Current number of equations to process: 1879
% 5.91/6.15  Current number of ordered equations: 1
% 5.91/6.15  Current number of rules: 421
% 5.91/6.15  New rule produced :
% 5.91/6.15  [484]
% 5.91/6.15  multiplication(multiplication(coantidomain(A),B),antidomain(C)) addition B ->
% 5.91/6.15  B
% 5.91/6.15  Current number of equations to process: 1879
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 422
% 5.91/6.15  New rule produced :
% 5.91/6.15  [485] one addition multiplication(antidomain(A),c(B)) -> one
% 5.91/6.15  Current number of equations to process: 1879
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 423
% 5.91/6.15  New rule produced :
% 5.91/6.15  [486] one addition multiplication(antidomain(A),forward_diamond(B,C)) -> one
% 5.91/6.15  Current number of equations to process: 1912
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 424
% 5.91/6.15  New rule produced :
% 5.91/6.15  [487] c(A) addition multiplication(antidomain(B),antidomain(A)) -> c(A)
% 5.91/6.15  Current number of equations to process: 1922
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 425
% 5.91/6.15  New rule produced :
% 5.91/6.15  [488]
% 5.91/6.15  multiplication(antidomain(A),multiplication(B,antidomain(C))) addition B -> B
% 5.91/6.15  Current number of equations to process: 1930
% 5.91/6.15  Current number of ordered equations: 1
% 5.91/6.15  Current number of rules: 426
% 5.91/6.15  New rule produced :
% 5.91/6.15  [489]
% 5.91/6.15  multiplication(antidomain(A),multiplication(B,domain(C))) addition B -> B
% 5.91/6.15  Current number of equations to process: 1930
% 5.91/6.15  Current number of ordered equations: 0
% 5.91/6.15  Current number of rules: 427
% 5.91/6.15  New rule produced :
% 5.91/6.15  [490]
% 5.91/6.15  multiplication(antidomain(A),multiplication(B,codomain(C))) addition B -> B
% 5.91/6.15  Current number of equations to process: 1928
% 5.91/6.15  Current number of ordered equations: 1
% 5.91/6.15  Current number of rules: 428
% 5.91/6.15  New rule produced :
% 5.91/6.15  [491]
% 5.91/6.15  multiplication(antidomain(A),multiplication(B,coantidomain(C))) addition B ->
% 5.91/6.15  B
% 5.91/6.15  Current number of equations to process: 1928
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 429
% 6.40/6.70  New rule produced :
% 6.40/6.70  [492]
% 6.40/6.70  multiplication(antidomain(A),multiplication(domain(B),C)) addition C -> C
% 6.40/6.70  Current number of equations to process: 1926
% 6.40/6.70  Current number of ordered equations: 1
% 6.40/6.70  Current number of rules: 430
% 6.40/6.70  New rule produced :
% 6.40/6.70  [493]
% 6.40/6.70  multiplication(antidomain(A),multiplication(antidomain(B),C)) addition C -> C
% 6.40/6.70  Current number of equations to process: 1926
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 431
% 6.40/6.70  New rule produced :
% 6.40/6.70  [494]
% 6.40/6.70  multiplication(antidomain(A),multiplication(codomain(B),C)) addition C -> C
% 6.40/6.70  Current number of equations to process: 1924
% 6.40/6.70  Current number of ordered equations: 1
% 6.40/6.70  Current number of rules: 432
% 6.40/6.70  New rule produced :
% 6.40/6.70  [495]
% 6.40/6.70  multiplication(antidomain(A),multiplication(coantidomain(B),C)) addition C ->
% 6.40/6.70  C
% 6.40/6.70  Current number of equations to process: 1924
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 433
% 6.40/6.70  New rule produced :
% 6.40/6.70  [496] multiplication(A,backward_diamond(B,C)) addition A -> A
% 6.40/6.70  Current number of equations to process: 1934
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 434
% 6.40/6.70  New rule produced :
% 6.40/6.70  [497] multiplication(backward_diamond(B,C),A) addition A -> A
% 6.40/6.70  Current number of equations to process: 1933
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 435
% 6.40/6.70  New rule produced :
% 6.40/6.70  [498] one addition multiplication(coantidomain(A),codomain(B)) -> one
% 6.40/6.70  Current number of equations to process: 1951
% 6.40/6.70  Current number of ordered equations: 1
% 6.40/6.70  Current number of rules: 436
% 6.40/6.70  New rule produced :
% 6.40/6.70  [499] one addition multiplication(codomain(A),codomain(B)) -> one
% 6.40/6.70  Current number of equations to process: 1951
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 437
% 6.40/6.70  New rule produced :
% 6.40/6.70  [500] one addition multiplication(backward_diamond(A,B),domain(C)) -> one
% 6.40/6.70  Current number of equations to process: 1967
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 438
% 6.40/6.70  New rule produced :
% 6.40/6.70  [501] one addition multiplication(domain(A),backward_diamond(B,C)) -> one
% 6.40/6.70  Current number of equations to process: 1966
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 439
% 6.40/6.70  New rule produced :
% 6.40/6.70  [502] one addition multiplication(backward_diamond(A,B),antidomain(C)) -> one
% 6.40/6.70  Current number of equations to process: 1965
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 440
% 6.40/6.70  New rule produced :
% 6.40/6.70  [503] one addition multiplication(antidomain(A),backward_diamond(B,C)) -> one
% 6.40/6.70  Current number of equations to process: 1964
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 441
% 6.40/6.70  New rule produced :
% 6.40/6.70  [504] one addition multiplication(c(A),codomain(B)) -> one
% 6.40/6.70  Current number of equations to process: 1967
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 442
% 6.40/6.70  New rule produced :
% 6.40/6.70  [505] one addition multiplication(forward_diamond(A,B),codomain(C)) -> one
% 6.40/6.70  Current number of equations to process: 2000
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 443
% 6.40/6.70  New rule produced :
% 6.40/6.70  [506] c(A) addition multiplication(antidomain(A),codomain(B)) -> c(A)
% 6.40/6.70  Current number of equations to process: 2010
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 444
% 6.40/6.70  New rule produced :
% 6.40/6.70  [507] one addition multiplication(codomain(A),coantidomain(B)) -> one
% 6.40/6.70  Current number of equations to process: 2026
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 445
% 6.40/6.70  New rule produced :
% 6.40/6.70  [508] one addition multiplication(backward_diamond(A,B),codomain(C)) -> one
% 6.40/6.70  Current number of equations to process: 2043
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 446
% 6.40/6.70  New rule produced :
% 6.40/6.70  [509] multiplication(multiplication(A,domain(B)),codomain(C)) addition A -> A
% 6.40/6.70  Current number of equations to process: 2041
% 6.40/6.70  Current number of ordered equations: 1
% 6.40/6.70  Current number of rules: 447
% 6.40/6.70  New rule produced :
% 6.40/6.70  [510]
% 6.40/6.70  multiplication(multiplication(A,antidomain(B)),codomain(C)) addition A -> A
% 6.40/6.70  Current number of equations to process: 2041
% 6.40/6.70  Current number of ordered equations: 0
% 6.40/6.70  Current number of rules: 448
% 6.40/6.70  New rule produced :
% 6.40/6.70  [511]
% 6.40/6.70  multiplication(multiplication(A,codomain(B)),codomain(C)) addition A -> A
% 6.93/7.17  Current number of equations to process: 2039
% 6.93/7.17  Current number of ordered equations: 1
% 6.93/7.17  Current number of rules: 449
% 6.93/7.17  New rule produced :
% 6.93/7.17  [512]
% 6.93/7.17  multiplication(multiplication(A,coantidomain(B)),codomain(C)) addition A -> A
% 6.93/7.17  Current number of equations to process: 2039
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 450
% 6.93/7.17  New rule produced :
% 6.93/7.17  [513]
% 6.93/7.17  multiplication(multiplication(antidomain(A),B),codomain(C)) addition B -> B
% 6.93/7.17  Current number of equations to process: 2037
% 6.93/7.17  Current number of ordered equations: 1
% 6.93/7.17  Current number of rules: 451
% 6.93/7.17  New rule produced :
% 6.93/7.17  [514] multiplication(multiplication(domain(A),B),codomain(C)) addition B -> B
% 6.93/7.17  Current number of equations to process: 2037
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 452
% 6.93/7.17  New rule produced :
% 6.93/7.17  [515]
% 6.93/7.17  multiplication(multiplication(codomain(A),B),codomain(C)) addition B -> B
% 6.93/7.17  Current number of equations to process: 2035
% 6.93/7.17  Current number of ordered equations: 1
% 6.93/7.17  Current number of rules: 453
% 6.93/7.17  New rule produced :
% 6.93/7.17  [516]
% 6.93/7.17  multiplication(multiplication(coantidomain(A),B),codomain(C)) addition B -> B
% 6.93/7.17  Current number of equations to process: 2035
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 454
% 6.93/7.17  New rule produced :
% 6.93/7.17  [517] one addition multiplication(codomain(A),c(B)) -> one
% 6.93/7.17  Current number of equations to process: 2033
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 455
% 6.93/7.17  New rule produced :
% 6.93/7.17  [518] one addition multiplication(codomain(A),forward_diamond(B,C)) -> one
% 6.93/7.17  Current number of equations to process: 2066
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 456
% 6.93/7.17  New rule produced :
% 6.93/7.17  [519] c(A) addition multiplication(codomain(B),antidomain(A)) -> c(A)
% 6.93/7.17  Current number of equations to process: 2076
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 457
% 6.93/7.17  New rule produced :
% 6.93/7.17  [520] one addition multiplication(codomain(A),backward_diamond(B,C)) -> one
% 6.93/7.17  Current number of equations to process: 2091
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 458
% 6.93/7.17  New rule produced :
% 6.93/7.17  [521]
% 6.93/7.17  multiplication(codomain(A),multiplication(B,antidomain(C))) addition B -> B
% 6.93/7.17  Current number of equations to process: 2089
% 6.93/7.17  Current number of ordered equations: 1
% 6.93/7.17  Current number of rules: 459
% 6.93/7.17  New rule produced :
% 6.93/7.17  [522] multiplication(codomain(A),multiplication(B,domain(C))) addition B -> B
% 6.93/7.17  Current number of equations to process: 2089
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 460
% 6.93/7.17  New rule produced :
% 6.93/7.17  [523]
% 6.93/7.17  multiplication(codomain(A),multiplication(B,codomain(C))) addition B -> B
% 6.93/7.17  Current number of equations to process: 2087
% 6.93/7.17  Current number of ordered equations: 1
% 6.93/7.17  Current number of rules: 461
% 6.93/7.17  New rule produced :
% 6.93/7.17  [524]
% 6.93/7.17  multiplication(codomain(A),multiplication(B,coantidomain(C))) addition B -> B
% 6.93/7.17  Current number of equations to process: 2087
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 462
% 6.93/7.17  New rule produced :
% 6.93/7.17  [525] multiplication(codomain(A),multiplication(domain(B),C)) addition C -> C
% 6.93/7.17  Current number of equations to process: 2085
% 6.93/7.17  Current number of ordered equations: 1
% 6.93/7.17  Current number of rules: 463
% 6.93/7.17  New rule produced :
% 6.93/7.17  [526]
% 6.93/7.17  multiplication(codomain(A),multiplication(antidomain(B),C)) addition C -> C
% 6.93/7.17  Current number of equations to process: 2085
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 464
% 6.93/7.17  New rule produced :
% 6.93/7.17  [527]
% 6.93/7.17  multiplication(codomain(A),multiplication(codomain(B),C)) addition C -> C
% 6.93/7.17  Current number of equations to process: 2083
% 6.93/7.17  Current number of ordered equations: 1
% 6.93/7.17  Current number of rules: 465
% 6.93/7.17  New rule produced :
% 6.93/7.17  [528]
% 6.93/7.17  multiplication(codomain(A),multiplication(coantidomain(B),C)) addition C -> C
% 6.93/7.17  Current number of equations to process: 2083
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 466
% 6.93/7.17  New rule produced :
% 6.93/7.17  [529] one addition multiplication(coantidomain(A),coantidomain(B)) -> one
% 6.93/7.17  Current number of equations to process: 2079
% 6.93/7.17  Current number of ordered equations: 0
% 6.93/7.17  Current number of rules: 467
% 6.93/7.17  New rule produced :
% 6.93/7.17  [530] one addition multiplication(c(A),coantidomain(B)) -> one
% 6.93/7.17  Current number of equations to process: 2099
% 6.93/7.17  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 468
% 7.61/7.85  New rule produced :
% 7.61/7.85  [531]
% 7.61/7.85  one addition multiplication(forward_diamond(A,B),coantidomain(C)) -> one
% 7.61/7.85  Current number of equations to process: 2132
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 469
% 7.61/7.85  New rule produced :
% 7.61/7.85  [532] c(A) addition multiplication(antidomain(A),coantidomain(B)) -> c(A)
% 7.61/7.85  Current number of equations to process: 2142
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 470
% 7.61/7.85  New rule produced :
% 7.61/7.85  [533]
% 7.61/7.85  one addition multiplication(backward_diamond(A,B),coantidomain(C)) -> one
% 7.61/7.85  Current number of equations to process: 2178
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 471
% 7.61/7.85  New rule produced :
% 7.61/7.85  [534]
% 7.61/7.85  multiplication(multiplication(A,domain(B)),coantidomain(C)) addition A -> A
% 7.61/7.85  Current number of equations to process: 2176
% 7.61/7.85  Current number of ordered equations: 1
% 7.61/7.85  Current number of rules: 472
% 7.61/7.85  New rule produced :
% 7.61/7.85  [535]
% 7.61/7.85  multiplication(multiplication(A,antidomain(B)),coantidomain(C)) addition A ->
% 7.61/7.85  A
% 7.61/7.85  Current number of equations to process: 2176
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 473
% 7.61/7.85  New rule produced :
% 7.61/7.85  [536]
% 7.61/7.85  multiplication(multiplication(A,codomain(B)),coantidomain(C)) addition A -> A
% 7.61/7.85  Current number of equations to process: 2174
% 7.61/7.85  Current number of ordered equations: 1
% 7.61/7.85  Current number of rules: 474
% 7.61/7.85  New rule produced :
% 7.61/7.85  [537]
% 7.61/7.85  multiplication(multiplication(A,coantidomain(B)),coantidomain(C)) addition A
% 7.61/7.85  -> A
% 7.61/7.85  Current number of equations to process: 2174
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 475
% 7.61/7.85  New rule produced :
% 7.61/7.85  [538]
% 7.61/7.85  multiplication(multiplication(antidomain(A),B),coantidomain(C)) addition B ->
% 7.61/7.85  B
% 7.61/7.85  Current number of equations to process: 2172
% 7.61/7.85  Current number of ordered equations: 1
% 7.61/7.85  Current number of rules: 476
% 7.61/7.85  New rule produced :
% 7.61/7.85  [539]
% 7.61/7.85  multiplication(multiplication(domain(A),B),coantidomain(C)) addition B -> B
% 7.61/7.85  Current number of equations to process: 2172
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 477
% 7.61/7.85  New rule produced :
% 7.61/7.85  [540]
% 7.61/7.85  multiplication(multiplication(codomain(A),B),coantidomain(C)) addition B -> B
% 7.61/7.85  Current number of equations to process: 2170
% 7.61/7.85  Current number of ordered equations: 1
% 7.61/7.85  Current number of rules: 478
% 7.61/7.85  New rule produced :
% 7.61/7.85  [541]
% 7.61/7.85  multiplication(multiplication(coantidomain(A),B),coantidomain(C)) addition B
% 7.61/7.85  -> B
% 7.61/7.85  Current number of equations to process: 2170
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 479
% 7.61/7.85  New rule produced :
% 7.61/7.85  [542] one addition multiplication(coantidomain(A),c(B)) -> one
% 7.61/7.85  Current number of equations to process: 2166
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 480
% 7.61/7.85  New rule produced :
% 7.61/7.85  [543]
% 7.61/7.85  one addition multiplication(coantidomain(A),forward_diamond(B,C)) -> one
% 7.61/7.85  Current number of equations to process: 2199
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 481
% 7.61/7.85  New rule produced :
% 7.61/7.85  [544] c(A) addition multiplication(coantidomain(B),antidomain(A)) -> c(A)
% 7.61/7.85  Current number of equations to process: 2209
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 482
% 7.61/7.85  New rule produced :
% 7.61/7.85  [545]
% 7.61/7.85  one addition multiplication(coantidomain(A),backward_diamond(B,C)) -> one
% 7.61/7.85  Current number of equations to process: 2228
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 483
% 7.61/7.85  New rule produced :
% 7.61/7.85  [546]
% 7.61/7.85  multiplication(coantidomain(A),multiplication(B,antidomain(C))) addition B ->
% 7.61/7.85  B
% 7.61/7.85  Current number of equations to process: 2226
% 7.61/7.85  Current number of ordered equations: 1
% 7.61/7.85  Current number of rules: 484
% 7.61/7.85  New rule produced :
% 7.61/7.85  [547]
% 7.61/7.85  multiplication(coantidomain(A),multiplication(B,domain(C))) addition B -> B
% 7.61/7.85  Current number of equations to process: 2226
% 7.61/7.85  Current number of ordered equations: 0
% 7.61/7.85  Current number of rules: 485
% 7.61/7.85  New rule produced :
% 7.61/7.85  [548]
% 7.61/7.85  multiplication(coantidomain(A),multiplication(B,codomain(C))) addition B -> B
% 7.61/7.85  Current number of equations to process: 2224
% 7.61/7.85  Current number of ordered equations: 1
% 7.61/7.85  Current number of rules: 486
% 7.61/7.85  New rule produced :
% 7.61/7.85  [549]
% 7.61/7.85  multiplication(coantidomain(A),multiplication(B,coantidomain(C))) addition B
% 7.61/7.85  -> B
% 7.61/7.85  Current number of equations to process: 2224
% 7.61/7.85  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 487
% 7.72/7.97  New rule produced :
% 7.72/7.97  [550]
% 7.72/7.97  multiplication(coantidomain(A),multiplication(domain(B),C)) addition C -> C
% 7.72/7.97  Current number of equations to process: 2222
% 7.72/7.97  Current number of ordered equations: 1
% 7.72/7.97  Current number of rules: 488
% 7.72/7.97  New rule produced :
% 7.72/7.97  [551]
% 7.72/7.97  multiplication(coantidomain(A),multiplication(antidomain(B),C)) addition C ->
% 7.72/7.97  C
% 7.72/7.97  Current number of equations to process: 2222
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 489
% 7.72/7.97  New rule produced :
% 7.72/7.97  [552]
% 7.72/7.97  multiplication(coantidomain(A),multiplication(codomain(B),C)) addition C -> C
% 7.72/7.97  Current number of equations to process: 2220
% 7.72/7.97  Current number of ordered equations: 1
% 7.72/7.97  Current number of rules: 490
% 7.72/7.97  New rule produced :
% 7.72/7.97  [553]
% 7.72/7.97  multiplication(coantidomain(A),multiplication(coantidomain(B),C)) addition C
% 7.72/7.97  -> C
% 7.72/7.97  Current number of equations to process: 2220
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 491
% 7.72/7.97  New rule produced :
% 7.72/7.97  [554]
% 7.72/7.97  backward_diamond(multiplication(A,multiplication(coantidomain(backward_diamond(A,B)),C)),B)
% 7.72/7.97  -> zero
% 7.72/7.97  Current number of equations to process: 2212
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 492
% 7.72/7.97  New rule produced :
% 7.72/7.97  [555]
% 7.72/7.97  multiplication(A,codomain(codomain(B))) addition multiplication(A,coantidomain(B))
% 7.72/7.97  -> A
% 7.72/7.97  Current number of equations to process: 2211
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 493
% 7.72/7.97  New rule produced :
% 7.72/7.97  [556]
% 7.72/7.97  multiplication(codomain(codomain(A)),B) addition multiplication(coantidomain(A),B)
% 7.72/7.97  -> B
% 7.72/7.97  Current number of equations to process: 2210
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 494
% 7.72/7.97  New rule produced :
% 7.72/7.97  [557]
% 7.72/7.97  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,
% 7.72/7.97                                                      codomain(A))) -> one
% 7.72/7.97  Current number of equations to process: 2209
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 495
% 7.72/7.97  New rule produced :
% 7.72/7.97  [558]
% 7.72/7.97  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,
% 7.72/7.97                                                     codomain(A)))) -> true
% 7.72/7.97  Current number of equations to process: 2208
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 496
% 7.72/7.97  New rule produced :
% 7.72/7.97  [559]
% 7.72/7.97  multiplication(forward_diamond(A,antidomain(B)),antidomain(multiplication(A,
% 7.72/7.97                                                             c(B)))) -> zero
% 7.72/7.97  Current number of equations to process: 2206
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 497
% 7.72/7.97  New rule produced :
% 7.72/7.97  [560]
% 7.72/7.97  domain(multiplication(A,antidomain(forward_diamond(B,C)))) ->
% 7.72/7.97  forward_diamond(A,antidomain(multiplication(B,domain(C))))
% 7.72/7.97  Current number of equations to process: 2205
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 498
% 7.72/7.97  New rule produced :
% 7.72/7.97  [561]
% 7.72/7.97  multiplication(multiplication(A,domain(domain(B))),multiplication(c(B),C)) ->
% 7.72/7.97  zero
% 7.72/7.97  Current number of equations to process: 2202
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 499
% 7.72/7.97  Rule [296]
% 7.72/7.97       domain(B) addition multiplication(domain(A),antidomain(B)) <->
% 7.72/7.97       domain(A) addition multiplication(antidomain(A),domain(B)) is composed into 
% 7.72/7.97  [296]
% 7.72/7.97  domain(B) addition multiplication(domain(A),antidomain(B)) ->
% 7.72/7.97  domain(A) addition domain(B)
% 7.72/7.97  New rule produced :
% 7.72/7.97  [562]
% 7.72/7.97  domain(A) addition multiplication(antidomain(A),domain(B)) ->
% 7.72/7.97  domain(A) addition domain(B)
% 7.72/7.97  Rule
% 7.72/7.97  [293]
% 7.72/7.97  domain(A) addition multiplication(antidomain(A),domain(B)) <->
% 7.72/7.97  domain(B) addition multiplication(domain(A),antidomain(B)) collapsed.
% 7.72/7.97  Current number of equations to process: 2195
% 7.72/7.97  Current number of ordered equations: 1
% 7.72/7.97  Current number of rules: 499
% 7.72/7.97  Rule [297]
% 7.72/7.97       domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 7.72/7.97       antidomain(A) addition multiplication(domain(A),domain(B)) is composed into 
% 7.72/7.97  [297]
% 7.72/7.97  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 7.72/7.97  domain(B) addition antidomain(A)
% 7.72/7.97  New rule produced :
% 7.72/7.97  [563]
% 7.72/7.97  antidomain(B) addition multiplication(domain(B),domain(A)) ->
% 7.72/7.97  domain(A) addition antidomain(B)
% 7.72/7.97  Current number of equations to process: 2195
% 7.72/7.97  Current number of ordered equations: 0
% 7.72/7.97  Current number of rules: 500
% 7.72/7.97  Rule [308]
% 7.72/7.97       domain(B) addition multiplication(codomain(A),antidomain(B)) <->
% 7.72/8.01       codomain(A) addition multiplication(coantidomain(A),domain(B)) is composed into 
% 7.72/8.01  [308]
% 7.72/8.01  domain(B) addition multiplication(codomain(A),antidomain(B)) ->
% 7.72/8.01  codomain(A) addition domain(B)
% 7.72/8.01  New rule produced :
% 7.72/8.01  [564]
% 7.72/8.01  codomain(A) addition multiplication(coantidomain(A),domain(B)) ->
% 7.72/8.01  codomain(A) addition domain(B)
% 7.72/8.01  Rule
% 7.72/8.01  [305]
% 7.72/8.01  codomain(A) addition multiplication(coantidomain(A),domain(B)) <->
% 7.72/8.01  domain(B) addition multiplication(codomain(A),antidomain(B)) collapsed.
% 7.72/8.01  Current number of equations to process: 2193
% 7.72/8.01  Current number of ordered equations: 1
% 7.72/8.01  Current number of rules: 500
% 7.72/8.01  Rule [309]
% 7.72/8.01       domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 7.72/8.01       coantidomain(A) addition multiplication(codomain(A),domain(B)) is composed into 
% 7.72/8.01  [309]
% 7.72/8.01  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 7.72/8.01  coantidomain(A) addition domain(B)
% 7.72/8.01  New rule produced :
% 7.72/8.01  [565]
% 7.72/8.01  coantidomain(A) addition multiplication(codomain(A),domain(B)) ->
% 7.72/8.01  coantidomain(A) addition domain(B)
% 7.72/8.01  Current number of equations to process: 2193
% 7.72/8.01  Current number of ordered equations: 0
% 7.72/8.01  Current number of rules: 501
% 7.72/8.01  Rule [294]
% 7.72/8.01       domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 7.72/8.01       antidomain(B) addition multiplication(domain(A),domain(B)) is composed into 
% 7.72/8.01  [294]
% 7.72/8.01  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 7.72/8.01  domain(A) addition antidomain(B)
% 7.72/8.01  New rule produced :
% 7.72/8.01  [566]
% 7.72/8.01  antidomain(B) addition multiplication(domain(A),domain(B)) ->
% 7.72/8.01  domain(A) addition antidomain(B)
% 7.72/8.01  Current number of equations to process: 2187
% 7.72/8.01  Current number of ordered equations: 0
% 7.72/8.01  Current number of rules: 502
% 7.72/8.01  Rule [299]
% 7.72/8.01       domain(A) addition multiplication(antidomain(A),codomain(B)) <->
% 7.72/8.01       codomain(B) addition multiplication(domain(A),coantidomain(B)) is composed into 
% 7.72/8.01  [299]
% 7.72/8.01  domain(A) addition multiplication(antidomain(A),codomain(B)) ->
% 7.72/8.01  codomain(B) addition domain(A)
% 7.72/8.01  New rule produced :
% 7.72/8.01  [567]
% 7.72/8.01  codomain(A) addition multiplication(domain(B),coantidomain(A)) ->
% 7.72/8.01  codomain(A) addition domain(B)
% 7.72/8.01  Rule
% 7.72/8.01  [302]
% 7.72/8.01  codomain(B) addition multiplication(domain(A),coantidomain(B)) <->
% 7.72/8.01  domain(A) addition multiplication(antidomain(A),codomain(B)) collapsed.
% 7.72/8.01  Current number of equations to process: 2185
% 7.72/8.01  Current number of ordered equations: 1
% 7.72/8.01  Current number of rules: 502
% 7.72/8.01  Rule [300]
% 7.72/8.01       domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 7.72/8.01       coantidomain(B) addition multiplication(domain(A),codomain(B)) is composed into 
% 7.72/8.01  [300]
% 7.72/8.01  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 7.72/8.01  coantidomain(B) addition domain(A)
% 7.72/8.01  New rule produced :
% 7.72/8.01  [568]
% 7.72/8.01  coantidomain(A) addition multiplication(domain(B),codomain(A)) ->
% 7.72/8.01  coantidomain(A) addition domain(B)
% 7.72/8.01  Current number of equations to process: 2185
% 7.72/8.01  Current number of ordered equations: 0
% 7.72/8.01  Current number of rules: 503
% 7.72/8.01  Rule [298]
% 7.72/8.01       antidomain(B) addition multiplication(antidomain(A),domain(B)) <->
% 7.72/8.01       antidomain(A) addition multiplication(domain(A),antidomain(B)) is composed into 
% 7.72/8.01  [298]
% 7.72/8.01  antidomain(B) addition multiplication(antidomain(A),domain(B)) ->
% 7.72/8.01  antidomain(A) addition antidomain(B)
% 7.72/8.01  New rule produced :
% 7.72/8.01  [569]
% 7.72/8.01  antidomain(A) addition multiplication(domain(A),antidomain(B)) ->
% 7.72/8.01  antidomain(A) addition antidomain(B)
% 7.72/8.01  Rule
% 7.72/8.01  [295]
% 7.72/8.01  antidomain(A) addition multiplication(domain(A),antidomain(B)) <->
% 7.72/8.01  antidomain(B) addition multiplication(antidomain(A),domain(B)) collapsed.
% 7.72/8.01  Current number of equations to process: 2179
% 7.72/8.01  Current number of ordered equations: 0
% 7.72/8.01  Current number of rules: 503
% 7.72/8.01  Rule [310]
% 7.72/8.01       antidomain(B) addition multiplication(coantidomain(A),domain(B)) <->
% 7.72/8.01       coantidomain(A) addition multiplication(codomain(A),antidomain(B)) is composed into 
% 7.72/8.01  [310]
% 7.72/8.01  antidomain(B) addition multiplication(coantidomain(A),domain(B)) ->
% 7.72/8.01  coantidomain(A) addition antidomain(B)
% 7.72/8.01  New rule produced :
% 7.72/8.01  [570]
% 7.72/8.01  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) ->
% 7.72/8.01  coantidomain(A) addition antidomain(B)
% 7.72/8.01  Rule
% 7.72/8.01  [307]
% 7.72/8.01  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) <->
% 7.72/8.01  antidomain(B) addition multiplication(coantidomain(A),domain(B)) collapsed.
% 7.72/8.01  Current number of equations to process: 2177
% 7.82/8.06  Current number of ordered equations: 1
% 7.82/8.06  Current number of rules: 503
% 7.82/8.06  Rule [306]
% 7.82/8.06       codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 7.82/8.06       antidomain(B) addition multiplication(codomain(A),domain(B)) is composed into 
% 7.82/8.06  [306]
% 7.82/8.06  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 7.82/8.06  codomain(A) addition antidomain(B)
% 7.82/8.06  New rule produced :
% 7.82/8.06  [571]
% 7.82/8.06  antidomain(B) addition multiplication(codomain(A),domain(B)) ->
% 7.82/8.06  codomain(A) addition antidomain(B)
% 7.82/8.06  Current number of equations to process: 2177
% 7.82/8.06  Current number of ordered equations: 0
% 7.82/8.06  Current number of rules: 504
% 7.82/8.06  Rule [301]
% 7.82/8.06       antidomain(A) addition multiplication(domain(A),coantidomain(B)) <->
% 7.82/8.06       coantidomain(B) addition multiplication(antidomain(A),codomain(B)) is composed into 
% 7.82/8.06  [301]
% 7.82/8.06  antidomain(A) addition multiplication(domain(A),coantidomain(B)) ->
% 7.82/8.06  coantidomain(B) addition antidomain(A)
% 7.82/8.06  New rule produced :
% 7.82/8.06  [572]
% 7.82/8.06  coantidomain(A) addition multiplication(antidomain(B),codomain(A)) ->
% 7.82/8.06  coantidomain(A) addition antidomain(B)
% 7.82/8.06  Rule
% 7.82/8.06  [304]
% 7.82/8.06  coantidomain(B) addition multiplication(antidomain(A),codomain(B)) <->
% 7.82/8.06  antidomain(A) addition multiplication(domain(A),coantidomain(B)) collapsed.
% 7.82/8.06  Current number of equations to process: 2170
% 7.82/8.06  Current number of ordered equations: 1
% 7.82/8.06  Current number of rules: 504
% 7.82/8.06  Rule [303]
% 7.82/8.06       codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 7.82/8.06       antidomain(A) addition multiplication(domain(A),codomain(B)) is composed into 
% 7.82/8.06  [303]
% 7.82/8.06  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 7.82/8.06  codomain(B) addition antidomain(A)
% 7.82/8.06  New rule produced :
% 7.82/8.06  [573]
% 7.82/8.06  antidomain(B) addition multiplication(domain(B),codomain(A)) ->
% 7.82/8.06  codomain(A) addition antidomain(B)
% 7.82/8.06  Current number of equations to process: 2170
% 7.82/8.06  Current number of ordered equations: 0
% 7.82/8.06  Current number of rules: 505
% 7.82/8.06  Rule [314]
% 7.82/8.06       codomain(B) addition multiplication(codomain(A),coantidomain(B)) <->
% 7.82/8.06       codomain(A) addition multiplication(coantidomain(A),codomain(B)) is composed into 
% 7.82/8.06  [314]
% 7.82/8.06  codomain(B) addition multiplication(codomain(A),coantidomain(B)) ->
% 7.82/8.06  codomain(A) addition codomain(B)
% 7.82/8.06  New rule produced :
% 7.82/8.06  [574]
% 7.82/8.06  codomain(A) addition multiplication(coantidomain(A),codomain(B)) ->
% 7.82/8.06  codomain(A) addition codomain(B)
% 7.82/8.06  Rule
% 7.82/8.06  [311]
% 7.82/8.06  codomain(A) addition multiplication(coantidomain(A),codomain(B)) <->
% 7.82/8.06  codomain(B) addition multiplication(codomain(A),coantidomain(B)) collapsed.
% 7.82/8.06  Current number of equations to process: 2163
% 7.82/8.06  Current number of ordered equations: 1
% 7.82/8.06  Current number of rules: 505
% 7.82/8.06  Rule [315]
% 7.82/8.06       codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 7.82/8.06       coantidomain(A) addition multiplication(codomain(A),codomain(B)) is composed into 
% 7.82/8.06  [315]
% 7.82/8.06  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 7.82/8.06  codomain(B) addition coantidomain(A)
% 7.82/8.06  New rule produced :
% 7.82/8.06  [575]
% 7.82/8.06  coantidomain(B) addition multiplication(codomain(B),codomain(A)) ->
% 7.82/8.06  codomain(A) addition coantidomain(B)
% 7.82/8.06  Current number of equations to process: 2163
% 7.82/8.06  Current number of ordered equations: 0
% 7.82/8.06  Current number of rules: 506
% 7.82/8.06  Rule [312]
% 7.82/8.06       codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 7.82/8.06       coantidomain(B) addition multiplication(codomain(A),codomain(B)) is composed into 
% 7.82/8.06  [312]
% 7.82/8.06  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 7.82/8.06  codomain(A) addition coantidomain(B)
% 7.82/8.06  New rule produced :
% 7.82/8.06  [576]
% 7.82/8.06  coantidomain(B) addition multiplication(codomain(A),codomain(B)) ->
% 7.82/8.06  codomain(A) addition coantidomain(B)
% 7.82/8.06  Current number of equations to process: 2157
% 7.82/8.06  Current number of ordered equations: 0
% 7.82/8.06  Current number of rules: 507
% 7.82/8.06  Rule [316]
% 7.82/8.06       coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) <->
% 7.82/8.06       coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) is composed into 
% 7.82/8.06  [316]
% 7.82/8.06  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) ->
% 7.82/8.06  coantidomain(A) addition coantidomain(B)
% 7.82/8.06  New rule produced :
% 7.82/8.06  [577]
% 7.82/8.06  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) ->
% 7.82/8.06  coantidomain(A) addition coantidomain(B)
% 7.82/8.06  Rule
% 7.82/8.06  [313]
% 7.82/8.06  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) <->
% 7.94/8.21  coantidomain(B) addition multiplication(coantidomain(A),codomain(B))
% 7.94/8.21  collapsed.
% 7.94/8.21  Current number of equations to process: 2151
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 507
% 7.94/8.21  New rule produced :
% 7.94/8.21  [578]
% 7.94/8.21  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 7.94/8.21  backward_diamond(B,C)) -> zero
% 7.94/8.21  Current number of equations to process: 2145
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 508
% 7.94/8.21  New rule produced :
% 7.94/8.21  [579]
% 7.94/8.21  multiplication(multiplication(A,coantidomain(B)),codomain(codomain(B))) ->
% 7.94/8.21  zero
% 7.94/8.21  Current number of equations to process: 2149
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 509
% 7.94/8.21  New rule produced :
% 7.94/8.21  [580]
% 7.94/8.21  multiplication(multiplication(A,coantidomain(B)),coantidomain(B)) ->
% 7.94/8.21  multiplication(A,coantidomain(B))
% 7.94/8.21  Current number of equations to process: 2152
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 510
% 7.94/8.21  New rule produced :
% 7.94/8.21  [581]
% 7.94/8.21  antidomain(multiplication(multiplication(A,coantidomain(B)),domain(codomain(B))))
% 7.94/8.21  -> one
% 7.94/8.21  Current number of equations to process: 2151
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 511
% 7.94/8.21  New rule produced :
% 7.94/8.21  [582]
% 7.94/8.21  multiplication(coantidomain(backward_diamond(A,B)),multiplication(backward_diamond(A,B),C))
% 7.94/8.21  -> zero
% 7.94/8.21  Current number of equations to process: 2153
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 512
% 7.94/8.21  New rule produced :
% 7.94/8.21  [583]
% 7.94/8.21  multiplication(coantidomain(A),multiplication(codomain(codomain(A)),B)) ->
% 7.94/8.21  zero
% 7.94/8.21  Current number of equations to process: 2157
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 513
% 7.94/8.21  New rule produced :
% 7.94/8.21  [584]
% 7.94/8.21  multiplication(codomain(A),multiplication(codomain(A),B)) ->
% 7.94/8.21  multiplication(codomain(A),B)
% 7.94/8.21  Current number of equations to process: 2158
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 514
% 7.94/8.21  New rule produced :
% 7.94/8.21  [585]
% 7.94/8.21  antidomain(multiplication(coantidomain(A),domain(multiplication(codomain(A),B))))
% 7.94/8.21  -> one
% 7.94/8.21  Current number of equations to process: 2157
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 515
% 7.94/8.21  New rule produced :
% 7.94/8.21  [586]
% 7.94/8.21  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A)) addition C)
% 7.94/8.21  -> true
% 7.94/8.21  Current number of equations to process: 2157
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 516
% 7.94/8.21  New rule produced :
% 7.94/8.21  [587]
% 7.94/8.21  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(domain(B))))
% 7.94/8.21  -> one
% 7.94/8.21  Current number of equations to process: 2155
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 517
% 7.94/8.21  New rule produced :
% 7.94/8.21  [588]
% 7.94/8.21  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,
% 7.94/8.21                                                       c(domain(B)))) -> one
% 7.94/8.21  Current number of equations to process: 2154
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 518
% 7.94/8.21  New rule produced :
% 7.94/8.21  [589]
% 7.94/8.21  multiplication(A,multiplication(B,domain(C))) addition multiplication(A,B) ->
% 7.94/8.21  multiplication(A,B)
% 7.94/8.21  Current number of equations to process: 2151
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 519
% 7.94/8.21  New rule produced :
% 7.94/8.21  [590]
% 7.94/8.21  multiplication(multiplication(A,domain(C)),B) addition multiplication(A,B) ->
% 7.94/8.21  multiplication(A,B)
% 7.94/8.21  Current number of equations to process: 2150
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 520
% 7.94/8.21  New rule produced :
% 7.94/8.21  [591]
% 7.94/8.21  multiplication(multiplication(domain(A),B),C) addition multiplication(B,C) ->
% 7.94/8.21  multiplication(B,C)
% 7.94/8.21  Current number of equations to process: 2148
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 521
% 7.94/8.21  New rule produced :
% 7.94/8.21  [592]
% 7.94/8.21  multiplication(A,multiplication(domain(C),B)) addition multiplication(A,B) ->
% 7.94/8.21  multiplication(A,B)
% 7.94/8.21  Current number of equations to process: 2147
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 522
% 7.94/8.21  New rule produced :
% 7.94/8.21  [593]
% 7.94/8.21  multiplication(A,multiplication(B,antidomain(C))) addition multiplication(A,B)
% 7.94/8.21  -> multiplication(A,B)
% 7.94/8.21  Current number of equations to process: 2144
% 7.94/8.21  Current number of ordered equations: 0
% 7.94/8.21  Current number of rules: 523
% 7.94/8.21  New rule produced :
% 7.94/8.21  [594]
% 7.94/8.21  multiplication(multiplication(A,antidomain(C)),B) addition multiplication(A,B)
% 7.94/8.21  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2143
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 524
% 8.13/8.42  New rule produced :
% 8.13/8.42  [595]
% 8.13/8.42  multiplication(multiplication(antidomain(A),B),C) addition multiplication(B,C)
% 8.13/8.42  -> multiplication(B,C)
% 8.13/8.42  Current number of equations to process: 2141
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 525
% 8.13/8.42  New rule produced :
% 8.13/8.42  [596]
% 8.13/8.42  multiplication(A,multiplication(antidomain(C),B)) addition multiplication(A,B)
% 8.13/8.42  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2140
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 526
% 8.13/8.42  New rule produced :
% 8.13/8.42  [597]
% 8.13/8.42  multiplication(A,multiplication(B,codomain(C))) addition multiplication(A,B)
% 8.13/8.42  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2133
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 527
% 8.13/8.42  New rule produced :
% 8.13/8.42  [598]
% 8.13/8.42  multiplication(multiplication(A,codomain(C)),B) addition multiplication(A,B)
% 8.13/8.42  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2132
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 528
% 8.13/8.42  New rule produced :
% 8.13/8.42  [599]
% 8.13/8.42  multiplication(multiplication(codomain(A),B),C) addition multiplication(B,C)
% 8.13/8.42  -> multiplication(B,C)
% 8.13/8.42  Current number of equations to process: 2129
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 529
% 8.13/8.42  New rule produced :
% 8.13/8.42  [600]
% 8.13/8.42  multiplication(A,multiplication(codomain(C),B)) addition multiplication(A,B)
% 8.13/8.42  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2128
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 530
% 8.13/8.42  New rule produced :
% 8.13/8.42  [601]
% 8.13/8.42  multiplication(A,multiplication(B,coantidomain(C))) addition multiplication(A,B)
% 8.13/8.42  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2124
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 531
% 8.13/8.42  New rule produced :
% 8.13/8.42  [602]
% 8.13/8.42  multiplication(multiplication(A,coantidomain(C)),B) addition multiplication(A,B)
% 8.13/8.42  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2123
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 532
% 8.13/8.42  New rule produced :
% 8.13/8.42  [603]
% 8.13/8.42  multiplication(multiplication(coantidomain(A),B),C) addition multiplication(B,C)
% 8.13/8.42  -> multiplication(B,C)
% 8.13/8.42  Current number of equations to process: 2120
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 533
% 8.13/8.42  New rule produced :
% 8.13/8.42  [604]
% 8.13/8.42  multiplication(A,multiplication(coantidomain(C),B)) addition multiplication(A,B)
% 8.13/8.42  -> multiplication(A,B)
% 8.13/8.42  Current number of equations to process: 2119
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 534
% 8.13/8.42  New rule produced :
% 8.13/8.42  [605]
% 8.13/8.42  multiplication(multiplication(A,multiplication(B,coantidomain(C))),multiplication(
% 8.13/8.42                                                                     codomain(C),X0))
% 8.13/8.42  -> zero
% 8.13/8.42  Current number of equations to process: 2114
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 535
% 8.13/8.42  New rule produced :
% 8.13/8.42  [606]
% 8.13/8.42  multiplication(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 8.13/8.42                                                                  codomain(B),C),X0))
% 8.13/8.42  -> zero
% 8.13/8.42  Current number of equations to process: 2113
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 536
% 8.13/8.42  New rule produced :
% 8.13/8.42  [607] forward_diamond(coantidomain(A),codomain(A)) -> zero
% 8.13/8.42  Current number of equations to process: 2113
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 537
% 8.13/8.42  New rule produced :
% 8.13/8.42  [608] multiplication(coantidomain(A),domain(codomain(A))) -> zero
% 8.13/8.42  Rule
% 8.13/8.42  [151] antidomain(multiplication(coantidomain(A),domain(codomain(A)))) -> one
% 8.13/8.42  collapsed.
% 8.13/8.42  Current number of equations to process: 2113
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 537
% 8.13/8.42  New rule produced :
% 8.13/8.42  [609]
% 8.13/8.42  leq(one,antidomain(multiplication(coantidomain(A),domain(domain(codomain(A))))))
% 8.13/8.42  -> true
% 8.13/8.42  Current number of equations to process: 2113
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 538
% 8.13/8.42  New rule produced :
% 8.13/8.42  [610]
% 8.13/8.42  multiplication(multiplication(A,domain(B)),domain(B)) ->
% 8.13/8.42  multiplication(A,domain(B))
% 8.13/8.42  Current number of equations to process: 2120
% 8.13/8.42  Current number of ordered equations: 0
% 8.13/8.42  Current number of rules: 539
% 8.13/8.42  New rule produced :
% 8.42/8.65  [611]
% 8.42/8.65  multiplication(antidomain(A),multiplication(antidomain(A),B)) ->
% 8.42/8.65  multiplication(antidomain(A),B)
% 8.42/8.65  Current number of equations to process: 2131
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 540
% 8.42/8.65  New rule produced :
% 8.42/8.65  [612]
% 8.42/8.65  antidomain(multiplication(domain(A),domain(multiplication(antidomain(A),B))))
% 8.42/8.65  -> one
% 8.42/8.65  Current number of equations to process: 2130
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 541
% 8.42/8.65  New rule produced :
% 8.42/8.65  [613]
% 8.42/8.65  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 8.42/8.65                                                                   domain(C))))
% 8.42/8.65  -> zero
% 8.42/8.65  Current number of equations to process: 2136
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 542
% 8.42/8.65  New rule produced :
% 8.42/8.65  [614]
% 8.42/8.65  multiplication(multiplication(A,multiplication(B,domain(C))),multiplication(
% 8.42/8.65                                                               antidomain(C),X0))
% 8.42/8.65  -> zero
% 8.42/8.65  Current number of equations to process: 2135
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 543
% 8.42/8.65  New rule produced :
% 8.42/8.65  [615]
% 8.42/8.65  multiplication(multiplication(A,domain(B)),multiplication(multiplication(
% 8.42/8.65                                                            antidomain(B),C),X0))
% 8.42/8.65  -> zero
% 8.42/8.65  Current number of equations to process: 2134
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 544
% 8.42/8.65  New rule produced :
% 8.42/8.65  [616]
% 8.42/8.65  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 8.42/8.65                                                                domain(B))),C))
% 8.42/8.65  -> zero
% 8.42/8.65  Current number of equations to process: 2130
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 545
% 8.42/8.65  New rule produced :
% 8.42/8.65  [617] forward_diamond(multiplication(A,multiplication(B,c(C))),C) -> zero
% 8.42/8.65  Current number of equations to process: 2142
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 546
% 8.42/8.65  New rule produced :
% 8.42/8.65  [618]
% 8.42/8.65  multiplication(multiplication(A,c(B)),antidomain(B)) ->
% 8.42/8.65  multiplication(A,c(B))
% 8.42/8.65  Current number of equations to process: 2145
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 547
% 8.42/8.65  New rule produced :
% 8.42/8.65  [619]
% 8.42/8.65  antidomain(multiplication(multiplication(A,c(B)),domain(domain(B)))) -> one
% 8.42/8.65  Current number of equations to process: 2144
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 548
% 8.42/8.65  New rule produced :
% 8.42/8.65  [620]
% 8.42/8.65  forward_diamond(multiplication(C,c(B)) addition A,B) -> forward_diamond(A,B)
% 8.42/8.65  Current number of equations to process: 2145
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 549
% 8.42/8.65  New rule produced :
% 8.42/8.65  [621] multiplication(multiplication(A,c(c(B))),c(domain(B))) -> zero
% 8.42/8.65  Current number of equations to process: 2147
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 550
% 8.42/8.65  New rule produced :
% 8.42/8.65  [622] multiplication(multiplication(A,c(domain(domain(B)))),c(c(B))) -> zero
% 8.42/8.65  Current number of equations to process: 2146
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 551
% 8.42/8.65  New rule produced :
% 8.42/8.65  [623]
% 8.42/8.65  antidomain(multiplication(c(A),domain(multiplication(domain(A),B)))) -> one
% 8.42/8.65  Current number of equations to process: 2149
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 552
% 8.42/8.65  New rule produced :
% 8.42/8.65  [624] multiplication(c(c(A)),multiplication(c(domain(A)),B)) -> zero
% 8.42/8.65  Current number of equations to process: 2152
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 553
% 8.42/8.65  New rule produced :
% 8.42/8.65  [625]
% 8.42/8.65  backward_diamond(codomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 8.42/8.65  -> zero
% 8.42/8.65  Current number of equations to process: 2151
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 554
% 8.42/8.65  New rule produced :
% 8.42/8.65  [626]
% 8.42/8.65  backward_diamond(codomain(codomain(codomain(A))),coantidomain(A)) -> zero
% 8.42/8.65  Current number of equations to process: 2151
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 555
% 8.42/8.65  New rule produced : [627] backward_diamond(A,zero) -> zero
% 8.42/8.65  Current number of equations to process: 2151
% 8.42/8.65  Current number of ordered equations: 0
% 8.42/8.65  Current number of rules: 556
% 8.42/8.65  New rule produced : [628] forward_diamond(c(A),domain(A)) -> zero
% 8.42/8.65  Current number of equations to process: 2152
% 8.42/8.65  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 557
% 8.92/9.20  New rule produced : [629] multiplication(c(A),domain(domain(A))) -> zero
% 8.92/9.20  Rule [162] antidomain(multiplication(c(A),domain(domain(A)))) -> one
% 8.92/9.20  collapsed.
% 8.92/9.20  Current number of equations to process: 2152
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 557
% 8.92/9.20  New rule produced :
% 8.92/9.20  [630] multiplication(c(domain(domain(A))),multiplication(c(c(A)),B)) -> zero
% 8.92/9.20  Current number of equations to process: 2173
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 558
% 8.92/9.20  New rule produced :
% 8.92/9.20  [631] forward_diamond(A,B) addition c(forward_diamond(A,B)) -> one
% 8.92/9.20  Current number of equations to process: 2194
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 559
% 8.92/9.20  New rule produced :
% 8.92/9.20  [632]
% 8.92/9.20  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(
% 8.92/9.20                                                                     domain(B)))))
% 8.92/9.20  -> zero
% 8.92/9.20  Current number of equations to process: 2221
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 560
% 8.92/9.20  New rule produced :
% 8.92/9.20  [633]
% 8.92/9.20  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 8.92/9.20                                                          domain(C),X0)) ->
% 8.92/9.20  zero
% 8.92/9.20  Current number of equations to process: 2219
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 561
% 8.92/9.20  New rule produced :
% 8.92/9.20  [634]
% 8.92/9.20  multiplication(multiplication(A,c(B)),multiplication(multiplication(domain(B),C),X0))
% 8.92/9.20  -> zero
% 8.92/9.20  Current number of equations to process: 2218
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 562
% 8.92/9.20  New rule produced : [635] multiplication(c(A),c(A)) -> c(A)
% 8.92/9.20  Current number of equations to process: 2213
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 563
% 8.92/9.20  New rule produced : [636] leq(multiplication(A,c(B)),A) -> true
% 8.92/9.20  Current number of equations to process: 2217
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.20  Current number of rules: 564
% 8.92/9.20  New rule produced : [637] leq(multiplication(A,c(B)),A addition C) -> true
% 8.92/9.20  Current number of equations to process: 2216
% 8.92/9.20  Current number of ordered equations: 0
% 8.92/9.21  Current number of rules: 565
% 8.92/9.21  New rule produced :
% 8.92/9.21  [638] leq(multiplication(A,c(B)) addition C,A addition C) -> true
% 8.92/9.21  Current number of equations to process: 2265
% 8.92/9.21  Current number of ordered equations: 0
% 8.92/9.21  Current number of rules: 566
% 8.92/9.21  New rule produced :
% 8.92/9.21  [639]
% 8.92/9.21  domain(A) addition multiplication(domain(B),c(A)) ->
% 8.92/9.21  domain(A) addition domain(B)
% 8.92/9.21  Current number of equations to process: 2263
% 8.92/9.21  Current number of ordered equations: 1
% 8.92/9.21  Current number of rules: 567
% 8.92/9.21  New rule produced :
% 8.92/9.21  [640]
% 8.92/9.21  domain(A) addition multiplication(antidomain(B),c(A)) ->
% 8.92/9.21  domain(A) addition antidomain(B)
% 8.92/9.21  Current number of equations to process: 2263
% 8.92/9.21  Current number of ordered equations: 0
% 8.92/9.21  Current number of rules: 568
% 8.92/9.21  New rule produced :
% 8.92/9.21  [641]
% 8.92/9.21  domain(A) addition multiplication(codomain(B),c(A)) ->
% 8.92/9.21  codomain(B) addition domain(A)
% 8.92/9.21  Current number of equations to process: 2261
% 8.92/9.21  Current number of ordered equations: 1
% 8.92/9.21  Current number of rules: 569
% 8.92/9.21  New rule produced :
% 8.92/9.21  [642]
% 8.92/9.21  domain(A) addition multiplication(coantidomain(B),c(A)) ->
% 8.92/9.21  coantidomain(B) addition domain(A)
% 8.92/9.21  Current number of equations to process: 2261
% 8.92/9.21  Current number of ordered equations: 0
% 8.92/9.21  Current number of rules: 570
% 8.92/9.21  Rule [115] c(antidomain(A)) -> domain(domain(A)) is composed into [115]
% 8.92/9.21                                                                    c(antidomain(A))
% 8.92/9.21                                                                    ->
% 8.92/9.21                                                                    domain(A)
% 8.92/9.21  Rule [37] forward_diamond(one,A) -> domain(domain(A)) is composed into 
% 8.92/9.21  [37] forward_diamond(one,A) -> domain(A)
% 8.92/9.21  Rule [35] antidomain(c(A)) -> domain(domain(A)) is composed into [35]
% 8.92/9.21                                                                   antidomain(
% 8.92/9.21                                                                   c(A)) ->
% 8.92/9.21                                                                   domain(A)
% 8.92/9.21  New rule produced : [643] domain(domain(A)) -> domain(A)
% 8.92/9.21  Rule [47] c(A) addition domain(domain(A)) -> one collapsed.
% 8.92/9.21  Rule [122] multiplication(domain(domain(A)),c(A)) -> zero collapsed.
% 8.92/9.21  Rule [123] domain(domain(domain(A))) -> c(c(A)) collapsed.
% 9.02/9.25  Rule [185] multiplication(multiplication(A,domain(domain(B))),c(B)) -> zero
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule [191] multiplication(domain(domain(A)),multiplication(c(A),B)) -> zero
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [197]
% 9.02/9.25  multiplication(A,c(B)) addition multiplication(A,domain(domain(B))) -> A
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [198]
% 9.02/9.25  multiplication(c(B),A) addition multiplication(domain(domain(B)),A) -> A
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule [219] ifeq2(one,c(A),leq(domain(domain(A)),c(A)),true) -> true
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [224]
% 9.02/9.25  forward_diamond(A,B) addition antidomain(multiplication(A,domain(domain(B))))
% 9.02/9.25  -> one collapsed.
% 9.02/9.25  Rule [285] ifeq(leq(domain(domain(A)),c(A)),true,one,c(A)) -> c(A) collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [333] ifeq2(one,domain(domain(A)),leq(c(A),domain(domain(A))),true) -> true
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule [381] domain(domain(A)) addition domain(A) -> domain(domain(A))
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule [385] c(c(A)) addition domain(domain(A)) -> c(c(A)) collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [393]
% 9.02/9.25  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(
% 9.02/9.25                                                                   domain(B))))
% 9.02/9.25  -> one collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [397]
% 9.02/9.25  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(
% 9.02/9.25                                                                  domain(B)))))
% 9.02/9.25  -> true collapsed.
% 9.02/9.25  Rule [404] c(c(A)) addition c(domain(domain(A))) -> one collapsed.
% 9.02/9.25  Rule [434] forward_diamond(domain(domain(A)),antidomain(A)) -> zero
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule [435] multiplication(c(domain(domain(A))),c(c(A))) -> zero collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [561]
% 9.02/9.25  multiplication(multiplication(A,domain(domain(B))),multiplication(c(B),C)) ->
% 9.02/9.25  zero collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [609]
% 9.02/9.25  leq(one,antidomain(multiplication(coantidomain(A),domain(domain(codomain(A))))))
% 9.02/9.25  -> true collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [619]
% 9.02/9.25  antidomain(multiplication(multiplication(A,c(B)),domain(domain(B)))) -> one
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [622] multiplication(multiplication(A,c(domain(domain(B)))),c(c(B))) -> zero
% 9.02/9.25  collapsed.
% 9.02/9.25  Rule [629] multiplication(c(A),domain(domain(A))) -> zero collapsed.
% 9.02/9.25  Rule
% 9.02/9.25  [630] multiplication(c(domain(domain(A))),multiplication(c(c(A)),B)) -> zero
% 9.02/9.25  collapsed.
% 9.02/9.25  Current number of equations to process: 2282
% 9.02/9.25  Current number of ordered equations: 0
% 9.02/9.25  Current number of rules: 547
% 9.02/9.25  Rule [401] forward_diamond(A,one) -> domain(A) is composed into [401]
% 9.02/9.25                                                                  forward_diamond(A,one)
% 9.02/9.25                                                                  -> c(c(A))
% 9.02/9.25  Rule [368]
% 9.02/9.25       forward_diamond(A addition C,antidomain(B)) <->
% 9.02/9.25       domain(multiplication(A,c(B)) addition multiplication(C,c(B))) is composed into 
% 9.02/9.25  [368]
% 9.02/9.25  forward_diamond(A addition C,antidomain(B)) <->
% 9.02/9.25  c(c(multiplication(A,c(B)) addition multiplication(C,c(B))))
% 9.02/9.25  Rule [363]
% 9.02/9.25       antidomain(forward_diamond(A addition C,B)) <->
% 9.02/9.25       c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) is composed into 
% 9.02/9.25  [363]
% 9.02/9.25  antidomain(forward_diamond(A addition C,B)) <->
% 9.02/9.25  c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B))))
% 9.02/9.25  Rule [175]
% 9.02/9.25       c(multiplication(A,forward_diamond(B,C))) ->
% 9.02/9.25       antidomain(forward_diamond(A,multiplication(B,domain(C)))) is composed into 
% 9.02/9.25  [175]
% 9.02/9.25  c(multiplication(A,forward_diamond(B,C))) ->
% 9.02/9.25  antidomain(forward_diamond(A,multiplication(B,c(c(C)))))
% 9.02/9.25  Rule [115] c(antidomain(A)) -> domain(A) is composed into [115]
% 9.02/9.25                                                            c(antidomain(A)) ->
% 9.02/9.25                                                            c(c(A))
% 9.02/9.25  Rule [92]
% 9.02/9.25       forward_diamond(A addition C,B) <->
% 9.02/9.25       domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) is composed into 
% 9.02/9.25  [92]
% 9.02/9.25  forward_diamond(A addition C,B) <->
% 9.02/9.25  c(c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B)))))
% 9.02/9.25  Rule [37] forward_diamond(one,A) -> domain(A) is composed into [37]
% 9.02/9.25                                                                 forward_diamond(one,A)
% 9.02/9.25                                                                 -> c(c(A))
% 9.02/9.25  Rule [35] antidomain(c(A)) -> domain(A) is composed into [35]
% 9.02/9.25                                                           antidomain(c(A)) ->
% 9.02/9.25                                                           c(c(A))
% 9.02/9.29  Rule [20]
% 9.02/9.29       domain_difference(X0,X1) -> multiplication(domain(X0),antidomain(X1)) is composed into 
% 9.02/9.29  [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),antidomain(X1))
% 9.02/9.29  Rule [8] antidomain(antidomain(X0)) -> domain(X0) is composed into [8]
% 9.02/9.29                                                                     antidomain(
% 9.02/9.29                                                                     antidomain(X0))
% 9.02/9.29                                                                     ->
% 9.02/9.29                                                                     c(c(X0))
% 9.02/9.29  New rule produced : [644] domain(A) -> c(c(A))
% 9.02/9.29  Rule [9] antidomain(domain(X0)) -> c(X0) collapsed.
% 9.02/9.29  Rule [15] domain(multiplication(X0,domain(X1))) -> forward_diamond(X0,X1)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [16] domain(X0) addition antidomain(X0) -> one collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [28]
% 9.02/9.29  antidomain(multiplication(X0,domain(X1))) addition antidomain(multiplication(X0,X1))
% 9.02/9.29  -> antidomain(multiplication(X0,domain(X1))) collapsed.
% 9.02/9.29  Rule [31] domain(antidomain(A)) -> c(A) collapsed.
% 9.02/9.29  Rule [38] one addition domain(A) -> one collapsed.
% 9.02/9.29  Rule [43] multiplication(domain(A),antidomain(A)) -> zero collapsed.
% 9.02/9.29  Rule [44] multiplication(c(A),domain(A)) -> zero collapsed.
% 9.02/9.29  Rule [46] c(A) addition domain(A) -> one collapsed.
% 9.02/9.29  Rule [49] c(multiplication(A,domain(B))) -> antidomain(forward_diamond(A,B))
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [55]
% 9.02/9.29  domain(multiplication(A,forward_diamond(B,C))) ->
% 9.02/9.29  forward_diamond(A,multiplication(B,domain(C))) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [61]
% 9.02/9.29  forward_diamond(A,B) addition antidomain(multiplication(A,domain(B))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [64]
% 9.02/9.29  domain(multiplication(A,multiplication(B,domain(C)))) ->
% 9.02/9.29  forward_diamond(multiplication(A,B),C) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [65]
% 9.02/9.29  multiplication(A,domain(B)) addition multiplication(A,antidomain(B)) -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [67]
% 9.02/9.29  multiplication(domain(B),A) addition multiplication(antidomain(B),A) -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [79] ifeq2(one,domain(A),leq(antidomain(A),domain(A)),true) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [80] ifeq2(one,antidomain(A),leq(domain(A),antidomain(A)),true) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [83] ifeq(leq(antidomain(A),domain(A)),true,one,domain(A)) -> domain(A)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [84]
% 9.02/9.29  ifeq(leq(domain(A),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [91]
% 9.02/9.29  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 9.02/9.29  forward_diamond(A addition C,B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [106]
% 9.02/9.29  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(B)))
% 9.02/9.29  -> one collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [107]
% 9.02/9.29  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))))
% 9.02/9.29  -> true collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [110]
% 9.02/9.29  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))) addition C)
% 9.02/9.29  -> true collapsed.
% 9.02/9.29  Rule [114] domain(one) -> one collapsed.
% 9.02/9.29  Rule [116] domain(c(A)) -> c(domain(A)) collapsed.
% 9.02/9.29  Rule [117] domain(multiplication(A,c(B))) -> forward_diamond(A,antidomain(B))
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [118] domain(zero) -> zero collapsed.
% 9.02/9.29  Rule [125] multiplication(A,domain(B)) addition A -> A collapsed.
% 9.02/9.29  Rule [126] multiplication(domain(B),A) addition A -> A collapsed.
% 9.02/9.29  Rule [127] leq(domain(A),one) -> true collapsed.
% 9.02/9.29  Rule [128] leq(domain(A),one addition B) -> true collapsed.
% 9.02/9.29  Rule [145] ifeq2(one,domain(A),leq(one,domain(A)),true) -> true collapsed.
% 9.02/9.29  Rule [153] multiplication(multiplication(A,domain(B)),antidomain(B)) -> zero
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [154] multiplication(domain(A),multiplication(antidomain(A),B)) -> zero
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [155]
% 9.02/9.29  multiplication(forward_diamond(A,B),antidomain(multiplication(A,domain(B))))
% 9.02/9.29  -> zero collapsed.
% 9.02/9.29  Rule [158] multiplication(multiplication(A,c(B)),domain(B)) -> zero
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [159] multiplication(c(A),multiplication(domain(A),B)) -> zero
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [166] multiplication(A,c(B)) addition multiplication(A,domain(B)) -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [167] multiplication(c(B),A) addition multiplication(domain(B),A) -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [168] ifeq(leq(one,domain(A)),true,one,domain(A)) -> domain(A)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [176]
% 9.02/9.29  c(multiplication(A,multiplication(B,domain(C)))) ->
% 9.02/9.29  antidomain(forward_diamond(multiplication(A,B),C)) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [180]
% 9.02/9.29  antidomain(multiplication(multiplication(A,B),domain(coantidomain(B)))) ->
% 9.02/9.29  one collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [184]
% 9.02/9.29  antidomain(multiplication(multiplication(A,antidomain(B)),domain(B))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [187]
% 9.02/9.29  antidomain(multiplication(A,domain(multiplication(coantidomain(A),B)))) ->
% 9.02/9.29  one collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [190]
% 9.02/9.29  antidomain(multiplication(antidomain(A),domain(multiplication(A,B)))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [195] ifeq2(one,domain(A),leq(c(A),domain(A)),true) -> true collapsed.
% 9.02/9.29  Rule [196] ifeq2(one,c(A),leq(domain(A),c(A)),true) -> true collapsed.
% 9.02/9.29  Rule [203] ifeq(leq(c(A),domain(A)),true,one,domain(A)) -> domain(A)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [204] ifeq(leq(domain(A),c(A)),true,one,c(A)) -> c(A) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [205]
% 9.02/9.29  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,domain(B)))
% 9.02/9.29  -> zero collapsed.
% 9.02/9.29  Rule [207] leq(domain(A) addition B,one addition B) -> true collapsed.
% 9.02/9.29  Rule [214] leq(domain(A) addition B,one addition B addition C) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [233]
% 9.02/9.29  forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 9.02/9.29  -> zero collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [236]
% 9.02/9.29  domain(multiplication(A,multiplication(B,c(C)))) ->
% 9.02/9.29  forward_diamond(multiplication(A,B),antidomain(C)) collapsed.
% 9.02/9.29  Rule [237] multiplication(domain(A),domain(A)) -> domain(A) collapsed.
% 9.02/9.29  Rule [239] leq(multiplication(A,domain(B)),A) -> true collapsed.
% 9.02/9.29  Rule [241] leq(multiplication(A,domain(B)),A addition C) -> true collapsed.
% 9.02/9.29  Rule [246] leq(multiplication(A,domain(B)) addition C,A addition C) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [254] multiplication(domain(A),A) -> A collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [255]
% 9.02/9.29  multiplication(domain(A),coantidomain(antidomain(A))) ->
% 9.02/9.29  coantidomain(antidomain(A)) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [256]
% 9.02/9.29  multiplication(antidomain(A),coantidomain(domain(A))) ->
% 9.02/9.29  coantidomain(domain(A)) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [263] multiplication(domain(A),multiplication(A,B)) -> multiplication(A,B)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [265] leq(multiplication(domain(A),B),B) -> true collapsed.
% 9.02/9.29  Rule [267] leq(multiplication(domain(A),B),B addition C) -> true collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [268]
% 9.02/9.29  multiplication(domain(A),multiplication(coantidomain(antidomain(A)),B)) ->
% 9.02/9.29  multiplication(coantidomain(antidomain(A)),B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [269]
% 9.02/9.29  multiplication(antidomain(A),multiplication(coantidomain(domain(A)),B)) ->
% 9.02/9.29  multiplication(coantidomain(domain(A)),B) collapsed.
% 9.02/9.29  Rule [270] leq(multiplication(domain(A),B) addition C,B addition C) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [283] antidomain(multiplication(A,domain(coantidomain(A)))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [284] antidomain(multiplication(antidomain(A),domain(A))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [289]
% 9.02/9.29  domain(multiplication(A,multiplication(B,forward_diamond(C,X0)))) ->
% 9.02/9.29  forward_diamond(multiplication(A,B),multiplication(C,domain(X0))) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [290]
% 9.02/9.29  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 9.02/9.29                                                                     domain(C)))
% 9.02/9.29  -> zero collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [292]
% 9.02/9.29  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 9.02/9.29                                                             domain(C)))),B),C)
% 9.02/9.29  -> zero collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [294]
% 9.02/9.29  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.02/9.29  domain(A) addition antidomain(B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [296]
% 9.02/9.29  domain(B) addition multiplication(domain(A),antidomain(B)) ->
% 9.02/9.29  domain(A) addition domain(B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [297]
% 9.02/9.29  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.02/9.29  domain(B) addition antidomain(A) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [298]
% 9.02/9.29  antidomain(B) addition multiplication(antidomain(A),domain(B)) ->
% 9.02/9.29  antidomain(A) addition antidomain(B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [299]
% 9.02/9.29  domain(A) addition multiplication(antidomain(A),codomain(B)) ->
% 9.02/9.29  codomain(B) addition domain(A) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [300]
% 9.02/9.29  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 9.02/9.29  coantidomain(B) addition domain(A) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [301]
% 9.02/9.29  antidomain(A) addition multiplication(domain(A),coantidomain(B)) ->
% 9.02/9.29  coantidomain(B) addition antidomain(A) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [308]
% 9.02/9.29  domain(B) addition multiplication(codomain(A),antidomain(B)) ->
% 9.02/9.29  codomain(A) addition domain(B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [309]
% 9.02/9.29  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 9.02/9.29  coantidomain(A) addition domain(B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [310]
% 9.02/9.29  antidomain(B) addition multiplication(coantidomain(A),domain(B)) ->
% 9.02/9.29  coantidomain(A) addition antidomain(B) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [318]
% 9.02/9.29  multiplication(multiplication(A,domain(B)),multiplication(antidomain(B),C))
% 9.02/9.29  -> zero collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [319]
% 9.02/9.29  multiplication(multiplication(A,c(B)),multiplication(domain(B),C)) -> zero
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [325] ifeq2(one addition A,one,leq(domain(B) addition A,one),true) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [326] ifeq(leq(domain(A) addition B,one),true,one addition B,one) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [336]
% 9.02/9.29  domain(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 9.02/9.29  forward_diamond(multiplication(A,multiplication(B,C)),X0) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [337]
% 9.02/9.29  leq(multiplication(A,domain(B)) addition C,A addition C addition X0) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [341]
% 9.02/9.29  leq(multiplication(domain(A),B) addition C,B addition C addition X0) -> true
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [362]
% 9.02/9.29  c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 9.02/9.29  antidomain(forward_diamond(A addition C,B)) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [364]
% 9.02/9.29  c(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 9.02/9.29  antidomain(forward_diamond(multiplication(A,multiplication(B,C)),X0))
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [365]
% 9.02/9.29  domain(domain(A) addition multiplication(B,domain(A))) ->
% 9.02/9.29  forward_diamond(one addition B,A) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [367]
% 9.02/9.29  domain(multiplication(A,c(B)) addition multiplication(C,c(B))) <->
% 9.02/9.29  forward_diamond(A addition C,antidomain(B)) collapsed.
% 9.02/9.29  Rule [382] c(domain(A)) addition c(A) -> c(domain(A)) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [392]
% 9.02/9.29  antidomain(forward_diamond(A,B)) addition antidomain(multiplication(A,
% 9.02/9.29                                                       domain(B))) ->
% 9.02/9.29  antidomain(forward_diamond(A,B)) collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [394]
% 9.02/9.29  domain(multiplication(A,antidomain(B))) addition antidomain(multiplication(A,
% 9.02/9.29                                                              c(B))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [402] multiplication(c(c(A)),c(domain(A))) -> zero collapsed.
% 9.02/9.29  Rule [403] c(c(A)) addition c(domain(A)) -> one collapsed.
% 9.02/9.29  Rule [418] coantidomain(backward_diamond(antidomain(A),domain(A))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [419] coantidomain(backward_diamond(domain(A),c(A))) -> one collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [427] antidomain(multiplication(codomain(A),domain(coantidomain(A)))) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [438] one addition multiplication(antidomain(A),domain(B)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [439] one addition multiplication(domain(A),domain(B)) -> one collapsed.
% 9.02/9.29  Rule [440] one addition multiplication(coantidomain(A),domain(B)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [441] one addition multiplication(codomain(A),domain(B)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [443] one addition multiplication(c(A),domain(B)) -> one collapsed.
% 9.02/9.29  Rule [444] one addition multiplication(forward_diamond(A,B),domain(C)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [445] c(A) addition multiplication(antidomain(A),domain(B)) -> c(A)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [446] one addition multiplication(domain(A),antidomain(B)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [447] one addition multiplication(domain(A),coantidomain(B)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [448] one addition multiplication(domain(A),codomain(B)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [449] multiplication(multiplication(A,domain(B)),domain(C)) addition A -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [450]
% 9.02/9.29  multiplication(multiplication(A,antidomain(B)),domain(C)) addition A -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [451] multiplication(multiplication(A,codomain(B)),domain(C)) addition A -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [452]
% 9.02/9.29  multiplication(multiplication(A,coantidomain(B)),domain(C)) addition A -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [453] multiplication(multiplication(domain(A),B),domain(C)) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [454]
% 9.02/9.29  multiplication(multiplication(antidomain(A),B),domain(C)) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [455] multiplication(multiplication(codomain(A),B),domain(C)) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [456]
% 9.02/9.29  multiplication(multiplication(coantidomain(A),B),domain(C)) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [458] one addition multiplication(domain(A),c(B)) -> one collapsed.
% 9.02/9.29  Rule [459] one addition multiplication(domain(A),forward_diamond(B,C)) -> one
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule [460] c(A) addition multiplication(domain(B),antidomain(A)) -> c(A)
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [461] multiplication(domain(A),multiplication(B,domain(C))) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [462]
% 9.02/9.29  multiplication(domain(A),multiplication(B,antidomain(C))) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [463] multiplication(domain(A),multiplication(B,codomain(C))) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [464]
% 9.02/9.29  multiplication(domain(A),multiplication(B,coantidomain(C))) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [465] multiplication(domain(A),multiplication(domain(B),C)) addition C -> C
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [466]
% 9.02/9.29  multiplication(domain(A),multiplication(antidomain(B),C)) addition C -> C
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [467] multiplication(domain(A),multiplication(codomain(B),C)) addition C -> C
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [468]
% 9.02/9.29  multiplication(domain(A),multiplication(coantidomain(B),C)) addition C -> C
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [477]
% 9.02/9.29  multiplication(multiplication(A,domain(B)),antidomain(C)) addition A -> A
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [482]
% 9.02/9.29  multiplication(multiplication(domain(A),B),antidomain(C)) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [489]
% 9.02/9.29  multiplication(antidomain(A),multiplication(B,domain(C))) addition B -> B
% 9.02/9.29  collapsed.
% 9.02/9.29  Rule
% 9.02/9.29  [492]
% 9.02/9.29  multiplication(antidomain(A),multiplication(domain(B),C)) addition C -> C
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [500] one addition multiplication(backward_diamond(A,B),domain(C)) -> one
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [501] one addition multiplication(domain(A),backward_diamond(B,C)) -> one
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [509] multiplication(multiplication(A,domain(B)),codomain(C)) addition A -> A
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [514] multiplication(multiplication(domain(A),B),codomain(C)) addition B -> B
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [522] multiplication(codomain(A),multiplication(B,domain(C))) addition B -> B
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [525] multiplication(codomain(A),multiplication(domain(B),C)) addition C -> C
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [534]
% 9.07/9.29  multiplication(multiplication(A,domain(B)),coantidomain(C)) addition A -> A
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [539]
% 9.07/9.29  multiplication(multiplication(domain(A),B),coantidomain(C)) addition B -> B
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [547]
% 9.07/9.29  multiplication(coantidomain(A),multiplication(B,domain(C))) addition B -> B
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [550]
% 9.07/9.29  multiplication(coantidomain(A),multiplication(domain(B),C)) addition C -> C
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [560]
% 9.07/9.29  domain(multiplication(A,antidomain(forward_diamond(B,C)))) ->
% 9.07/9.29  forward_diamond(A,antidomain(multiplication(B,domain(C)))) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [562]
% 9.07/9.29  domain(A) addition multiplication(antidomain(A),domain(B)) ->
% 9.07/9.29  domain(A) addition domain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [563]
% 9.07/9.29  antidomain(B) addition multiplication(domain(B),domain(A)) ->
% 9.07/9.29  domain(A) addition antidomain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [564]
% 9.07/9.29  codomain(A) addition multiplication(coantidomain(A),domain(B)) ->
% 9.07/9.29  codomain(A) addition domain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [565]
% 9.07/9.29  coantidomain(A) addition multiplication(codomain(A),domain(B)) ->
% 9.07/9.29  coantidomain(A) addition domain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [566]
% 9.07/9.29  antidomain(B) addition multiplication(domain(A),domain(B)) ->
% 9.07/9.29  domain(A) addition antidomain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [567]
% 9.07/9.29  codomain(A) addition multiplication(domain(B),coantidomain(A)) ->
% 9.07/9.29  codomain(A) addition domain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [568]
% 9.07/9.29  coantidomain(A) addition multiplication(domain(B),codomain(A)) ->
% 9.07/9.29  coantidomain(A) addition domain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [569]
% 9.07/9.29  antidomain(A) addition multiplication(domain(A),antidomain(B)) ->
% 9.07/9.29  antidomain(A) addition antidomain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [571]
% 9.07/9.29  antidomain(B) addition multiplication(codomain(A),domain(B)) ->
% 9.07/9.29  codomain(A) addition antidomain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [573]
% 9.07/9.29  antidomain(B) addition multiplication(domain(B),codomain(A)) ->
% 9.07/9.29  codomain(A) addition antidomain(B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [581]
% 9.07/9.29  antidomain(multiplication(multiplication(A,coantidomain(B)),domain(codomain(B))))
% 9.07/9.29  -> one collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [585]
% 9.07/9.29  antidomain(multiplication(coantidomain(A),domain(multiplication(codomain(A),B))))
% 9.07/9.29  -> one collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [587]
% 9.07/9.29  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(domain(B))))
% 9.07/9.29  -> one collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [588]
% 9.07/9.29  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,
% 9.07/9.29                                                       c(domain(B)))) -> one
% 9.07/9.29  collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [589]
% 9.07/9.29  multiplication(A,multiplication(B,domain(C))) addition multiplication(A,B) ->
% 9.07/9.29  multiplication(A,B) collapsed.
% 9.07/9.29  Rule
% 9.07/9.29  [590]
% 9.07/9.29  multiplication(multiplication(A,domain(C)),B) addition multiplication(A,B) ->
% 9.07/9.29  multiplication(A,B) collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [591]
% 9.38/9.63  multiplication(multiplication(domain(A),B),C) addition multiplication(B,C) ->
% 9.38/9.63  multiplication(B,C) collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [592]
% 9.38/9.63  multiplication(A,multiplication(domain(C),B)) addition multiplication(A,B) ->
% 9.38/9.63  multiplication(A,B) collapsed.
% 9.38/9.63  Rule [608] multiplication(coantidomain(A),domain(codomain(A))) -> zero
% 9.38/9.63  collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [610]
% 9.38/9.63  multiplication(multiplication(A,domain(B)),domain(B)) ->
% 9.38/9.63  multiplication(A,domain(B)) collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [612]
% 9.38/9.63  antidomain(multiplication(domain(A),domain(multiplication(antidomain(A),B))))
% 9.38/9.63  -> one collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [613]
% 9.38/9.63  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 9.38/9.63                                                                   domain(C))))
% 9.38/9.63  -> zero collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [614]
% 9.38/9.63  multiplication(multiplication(A,multiplication(B,domain(C))),multiplication(
% 9.38/9.63                                                               antidomain(C),X0))
% 9.38/9.63  -> zero collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [615]
% 9.38/9.63  multiplication(multiplication(A,domain(B)),multiplication(multiplication(
% 9.38/9.63                                                            antidomain(B),C),X0))
% 9.38/9.63  -> zero collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [616]
% 9.38/9.63  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 9.38/9.63                                                                domain(B))),C))
% 9.38/9.63  -> zero collapsed.
% 9.38/9.63  Rule [621] multiplication(multiplication(A,c(c(B))),c(domain(B))) -> zero
% 9.38/9.63  collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [623]
% 9.38/9.63  antidomain(multiplication(c(A),domain(multiplication(domain(A),B)))) -> one
% 9.38/9.63  collapsed.
% 9.38/9.63  Rule [624] multiplication(c(c(A)),multiplication(c(domain(A)),B)) -> zero
% 9.38/9.63  collapsed.
% 9.38/9.63  Rule [628] forward_diamond(c(A),domain(A)) -> zero collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [632]
% 9.38/9.63  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(
% 9.38/9.63                                                                     domain(B)))))
% 9.38/9.63  -> zero collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [633]
% 9.38/9.63  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 9.38/9.63                                                          domain(C),X0)) ->
% 9.38/9.63  zero collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [634]
% 9.38/9.63  multiplication(multiplication(A,c(B)),multiplication(multiplication(domain(B),C),X0))
% 9.38/9.63  -> zero collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [639]
% 9.38/9.63  domain(A) addition multiplication(domain(B),c(A)) ->
% 9.38/9.63  domain(A) addition domain(B) collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [640]
% 9.38/9.63  domain(A) addition multiplication(antidomain(B),c(A)) ->
% 9.38/9.63  domain(A) addition antidomain(B) collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [641]
% 9.38/9.63  domain(A) addition multiplication(codomain(B),c(A)) ->
% 9.38/9.63  codomain(B) addition domain(A) collapsed.
% 9.38/9.63  Rule
% 9.38/9.63  [642]
% 9.38/9.63  domain(A) addition multiplication(coantidomain(B),c(A)) ->
% 9.38/9.63  coantidomain(B) addition domain(A) collapsed.
% 9.38/9.63  Rule [643] domain(domain(A)) -> domain(A) collapsed.
% 9.38/9.63  The conjecture has been reduced. 
% 9.38/9.63  Conjecture is now:
% 9.38/9.63  c(backward_diamond(sK1_goals_X1,c(forward_diamond(sK1_goals_X1,c(c(sK2_goals_X0)))))) addition 
% 9.38/9.63  c(c(sK2_goals_X0)) = c(backward_diamond(sK1_goals_X1,c(forward_diamond(sK1_goals_X1,
% 9.38/9.63                                                         c(c(sK2_goals_X0))))))
% 9.38/9.63  
% 9.38/9.63  Current number of equations to process: 2441
% 9.38/9.63  Current number of ordered equations: 0
% 9.38/9.63  Current number of rules: 366
% 9.38/9.63  New rule produced : [645] c(c(c(X0))) -> c(X0)
% 9.38/9.63  Current number of equations to process: 2437
% 9.38/9.63  Current number of ordered equations: 3
% 9.38/9.63  Current number of rules: 367
% 9.38/9.63  New rule produced : [646] c(c(X0)) addition antidomain(X0) -> one
% 9.38/9.63  Current number of equations to process: 2437
% 9.38/9.63  Current number of ordered equations: 2
% 9.38/9.63  Current number of rules: 368
% 9.38/9.63  New rule produced :
% 9.38/9.63  [647] c(c(forward_diamond(X0,c(c(X1))))) -> forward_diamond(X0,X1)
% 9.38/9.63  Current number of equations to process: 2437
% 9.38/9.63  Current number of ordered equations: 1
% 9.38/9.63  Current number of rules: 369
% 9.38/9.63  New rule produced :
% 9.38/9.63  [648]
% 9.38/9.63  antidomain(multiplication(X0,c(c(X1)))) addition antidomain(multiplication(X0,X1))
% 9.38/9.63  -> antidomain(multiplication(X0,c(c(X1))))
% 9.38/9.63  Current number of equations to process: 2437
% 9.38/9.63  Current number of ordered equations: 0
% 9.38/9.63  Current number of rules: 370
% 9.38/9.63  New rule produced : [649] multiplication(c(c(A)),c(A)) -> zero
% 9.38/9.63  Current number of equations to process: 2435
% 9.38/9.63  Current number of ordered equations: 0
% 9.38/9.63  Current number of rules: 371
% 9.38/9.63  New rule produced : [650] multiplication(c(c(A)),A) -> A
% 9.38/9.63  Current number of equations to process: 2434
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 372
% 9.47/9.71  New rule produced : [651] forward_diamond(c(c(A)),antidomain(A)) -> zero
% 9.47/9.71  Current number of equations to process: 2433
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 373
% 9.47/9.71  New rule produced : [652] multiplication(c(c(A)),antidomain(A)) -> zero
% 9.47/9.71  Current number of equations to process: 2432
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 374
% 9.47/9.71  New rule produced : [653] multiplication(c(A),c(c(A))) -> zero
% 9.47/9.71  Current number of equations to process: 2431
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 375
% 9.47/9.71  New rule produced : [654] c(c(A)) addition c(A) -> one
% 9.47/9.71  Current number of equations to process: 2430
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 376
% 9.47/9.71  New rule produced : [655] forward_diamond(c(A),c(c(A))) -> zero
% 9.47/9.71  Current number of equations to process: 2429
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 377
% 9.47/9.71  New rule produced :
% 9.47/9.71  [656] antidomain(multiplication(A,c(c(coantidomain(A))))) -> one
% 9.47/9.71  Current number of equations to process: 2426
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 378
% 9.47/9.71  New rule produced :
% 9.47/9.71  [657] antidomain(multiplication(antidomain(A),c(c(A)))) -> one
% 9.47/9.71  Current number of equations to process: 2425
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 379
% 9.47/9.71  New rule produced :
% 9.47/9.71  [658] coantidomain(backward_diamond(antidomain(A),c(c(A)))) -> one
% 9.47/9.71  Current number of equations to process: 2424
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 380
% 9.47/9.71  New rule produced : [659] coantidomain(backward_diamond(c(c(A)),c(A))) -> one
% 9.47/9.71  Current number of equations to process: 2423
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 381
% 9.47/9.71  New rule produced :
% 9.47/9.71  [660] multiplication(multiplication(A,c(c(B))),c(B)) -> zero
% 9.47/9.71  Current number of equations to process: 2422
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 382
% 9.47/9.71  New rule produced :
% 9.47/9.71  [661] multiplication(c(c(A)),multiplication(c(A),B)) -> zero
% 9.47/9.71  Current number of equations to process: 2421
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 383
% 9.47/9.71  New rule produced : [662] leq(multiplication(c(c(A)),B),B) -> true
% 9.47/9.71  Current number of equations to process: 2420
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 384
% 9.47/9.71  New rule produced :
% 9.47/9.71  [663] multiplication(coantidomain(A),c(c(codomain(A)))) -> zero
% 9.47/9.71  Current number of equations to process: 2417
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 385
% 9.47/9.71  New rule produced :
% 9.47/9.71  [664]
% 9.47/9.71  antidomain(forward_diamond(A,c(c(B)))) -> antidomain(forward_diamond(A,B))
% 9.47/9.71  Current number of equations to process: 2416
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 386
% 9.47/9.71  New rule produced :
% 9.47/9.71  [665]
% 9.47/9.71  c(c(forward_diamond(A,antidomain(B)))) -> forward_diamond(A,antidomain(B))
% 9.47/9.71  Current number of equations to process: 2415
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 387
% 9.47/9.71  New rule produced :
% 9.47/9.71  [666] multiplication(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 9.47/9.71  Current number of equations to process: 2414
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 388
% 9.47/9.71  New rule produced :
% 9.47/9.71  [667] multiplication(c(c(A)),multiplication(antidomain(A),B)) -> zero
% 9.47/9.71  Current number of equations to process: 2413
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 389
% 9.47/9.71  New rule produced :
% 9.47/9.71  [668] multiplication(multiplication(A,c(B)),c(c(B))) -> zero
% 9.47/9.71  Current number of equations to process: 2412
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 390
% 9.47/9.71  New rule produced :
% 9.47/9.71  [669] multiplication(c(A),multiplication(c(c(A)),B)) -> zero
% 9.47/9.71  Current number of equations to process: 2411
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 391
% 9.47/9.71  New rule produced :
% 9.47/9.71  [670]
% 9.47/9.71  multiplication(c(c(A)),coantidomain(antidomain(A))) ->
% 9.47/9.71  coantidomain(antidomain(A))
% 9.47/9.71  Current number of equations to process: 2410
% 9.47/9.71  Current number of ordered equations: 0
% 9.47/9.71  Current number of rules: 392
% 9.47/9.71  New rule produced :
% 9.47/9.71  [671] multiplication(c(c(A)),multiplication(A,B)) -> multiplication(A,B)
% 9.47/9.71  Current number of equations to process: 2409
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 393
% 9.51/9.79  New rule produced :
% 9.51/9.79  [672] antidomain(multiplication(codomain(A),c(c(coantidomain(A))))) -> one
% 9.51/9.79  Current number of equations to process: 2406
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 394
% 9.51/9.79  New rule produced : [673] one addition multiplication(c(A),c(c(B))) -> one
% 9.51/9.79  Current number of equations to process: 2405
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 395
% 9.51/9.79  New rule produced : [674] one addition multiplication(c(c(A)),c(B)) -> one
% 9.51/9.79  Current number of equations to process: 2404
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 396
% 9.51/9.79  New rule produced :
% 9.51/9.79  [675]
% 9.51/9.79  multiplication(antidomain(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 9.51/9.79  Current number of equations to process: 2403
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 397
% 9.51/9.79  New rule produced :
% 9.51/9.79  [676]
% 9.51/9.79  antidomain(multiplication(multiplication(A,B),c(c(coantidomain(B))))) -> one
% 9.51/9.79  Current number of equations to process: 2401
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 398
% 9.51/9.79  New rule produced :
% 9.51/9.79  [677]
% 9.51/9.79  antidomain(multiplication(multiplication(A,antidomain(B)),c(c(B)))) -> one
% 9.51/9.79  Current number of equations to process: 2400
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 399
% 9.51/9.79  New rule produced :
% 9.51/9.79  [678]
% 9.51/9.79  antidomain(multiplication(A,c(c(multiplication(coantidomain(A),B))))) -> one
% 9.51/9.79  Current number of equations to process: 2399
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 400
% 9.51/9.79  New rule produced :
% 9.51/9.79  [679]
% 9.51/9.79  antidomain(multiplication(antidomain(A),c(c(multiplication(A,B))))) -> one
% 9.51/9.79  Current number of equations to process: 2398
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 401
% 9.51/9.79  New rule produced : [680] leq(multiplication(c(c(A)),B),B addition C) -> true
% 9.51/9.79  Current number of equations to process: 2397
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 402
% 9.51/9.79  New rule produced :
% 9.51/9.79  [681]
% 9.51/9.79  multiplication(multiplication(A,c(c(B))),multiplication(c(B),C)) -> zero
% 9.51/9.79  Current number of equations to process: 2396
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 403
% 9.51/9.79  New rule produced :
% 9.51/9.79  [682] one addition multiplication(forward_diamond(A,B),c(c(C))) -> one
% 9.51/9.79  Current number of equations to process: 2394
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 404
% 9.51/9.79  New rule produced :
% 9.51/9.79  [683] one addition multiplication(c(c(A)),forward_diamond(B,C)) -> one
% 9.51/9.79  Current number of equations to process: 2393
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 405
% 9.51/9.79  New rule produced :
% 9.51/9.79  [684] one addition multiplication(backward_diamond(A,B),c(c(C))) -> one
% 9.51/9.79  Current number of equations to process: 2392
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 406
% 9.51/9.79  New rule produced :
% 9.51/9.79  [685] one addition multiplication(c(c(A)),backward_diamond(B,C)) -> one
% 9.51/9.79  Current number of equations to process: 2391
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 407
% 9.51/9.79  New rule produced :
% 9.51/9.79  [686] c(A) addition multiplication(antidomain(A),c(c(B))) -> c(A)
% 9.51/9.79  Current number of equations to process: 2388
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 408
% 9.51/9.79  New rule produced :
% 9.51/9.79  [687] c(A) addition multiplication(c(c(B)),antidomain(A)) -> c(A)
% 9.51/9.79  Current number of equations to process: 2387
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 409
% 9.51/9.79  New rule produced :
% 9.51/9.79  [688]
% 9.51/9.79  c(c(forward_diamond(A,multiplication(B,c(c(C)))))) ->
% 9.51/9.79  forward_diamond(A,multiplication(B,c(c(C))))
% 9.51/9.79  Current number of equations to process: 2386
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 410
% 9.51/9.79  New rule produced :
% 9.51/9.79  [689]
% 9.51/9.79  forward_diamond(A,B) addition antidomain(multiplication(A,c(c(B)))) -> one
% 9.51/9.79  Current number of equations to process: 2385
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 411
% 9.51/9.79  New rule produced :
% 9.51/9.79  [690] multiplication(A,c(c(B))) addition multiplication(A,antidomain(B)) -> A
% 9.51/9.79  Current number of equations to process: 2384
% 9.51/9.79  Current number of ordered equations: 0
% 9.51/9.79  Current number of rules: 412
% 9.51/9.79  New rule produced :
% 9.51/9.79  [691] multiplication(c(c(B)),A) addition multiplication(antidomain(B),A) -> A
% 9.62/9.87  Current number of equations to process: 2383
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 413
% 9.62/9.87  New rule produced :
% 9.62/9.87  [692]
% 9.62/9.87  multiplication(forward_diamond(A,B),antidomain(multiplication(A,c(c(B))))) ->
% 9.62/9.87  zero
% 9.62/9.87  Current number of equations to process: 2382
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 414
% 9.62/9.87  New rule produced :
% 9.62/9.87  [693] multiplication(A,c(c(B))) addition multiplication(A,c(B)) -> A
% 9.62/9.87  Current number of equations to process: 2381
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 415
% 9.62/9.87  New rule produced :
% 9.62/9.87  [694] multiplication(c(c(B)),A) addition multiplication(c(B),A) -> A
% 9.62/9.87  Current number of equations to process: 2380
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 416
% 9.62/9.87  New rule produced :
% 9.62/9.87  [695]
% 9.62/9.87  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,c(c(B))))
% 9.62/9.87  -> zero
% 9.62/9.87  Current number of equations to process: 2379
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 417
% 9.62/9.87  New rule produced :
% 9.62/9.87  [696]
% 9.62/9.87  forward_diamond(multiplication(antidomain(multiplication(A,c(c(B)))),A),B) ->
% 9.62/9.87  zero
% 9.62/9.87  Current number of equations to process: 2378
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 418
% 9.62/9.87  New rule produced :
% 9.62/9.87  [697]
% 9.62/9.87  multiplication(multiplication(A,c(c(B))),multiplication(antidomain(B),C)) ->
% 9.62/9.87  zero
% 9.62/9.87  Current number of equations to process: 2377
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 419
% 9.62/9.87  New rule produced :
% 9.62/9.87  [698]
% 9.62/9.87  multiplication(multiplication(A,c(B)),multiplication(c(c(B)),C)) -> zero
% 9.62/9.87  Current number of equations to process: 2376
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 420
% 9.62/9.87  New rule produced :
% 9.62/9.87  [699] multiplication(multiplication(A,antidomain(B)),c(c(C))) addition A -> A
% 9.62/9.87  Current number of equations to process: 2375
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 421
% 9.62/9.87  New rule produced :
% 9.62/9.87  [700]
% 9.62/9.87  multiplication(multiplication(A,coantidomain(B)),c(c(C))) addition A -> A
% 9.62/9.87  Current number of equations to process: 2373
% 9.62/9.87  Current number of ordered equations: 1
% 9.62/9.87  Current number of rules: 422
% 9.62/9.87  New rule produced :
% 9.62/9.87  [701] multiplication(multiplication(A,codomain(B)),c(c(C))) addition A -> A
% 9.62/9.87  Current number of equations to process: 2373
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 423
% 9.62/9.87  New rule produced :
% 9.62/9.87  [702] multiplication(multiplication(antidomain(A),B),c(c(C))) addition B -> B
% 9.62/9.87  Current number of equations to process: 2372
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 424
% 9.62/9.87  New rule produced :
% 9.62/9.87  [703]
% 9.62/9.87  multiplication(multiplication(coantidomain(A),B),c(c(C))) addition B -> B
% 9.62/9.87  Current number of equations to process: 2370
% 9.62/9.87  Current number of ordered equations: 1
% 9.62/9.87  Current number of rules: 425
% 9.62/9.87  New rule produced :
% 9.62/9.87  [704] multiplication(multiplication(codomain(A),B),c(c(C))) addition B -> B
% 9.62/9.87  Current number of equations to process: 2370
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 426
% 9.62/9.87  New rule produced :
% 9.62/9.87  [705] multiplication(c(c(A)),multiplication(B,antidomain(C))) addition B -> B
% 9.62/9.87  Current number of equations to process: 2369
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 427
% 9.62/9.87  New rule produced :
% 9.62/9.87  [706]
% 9.62/9.87  multiplication(c(c(A)),multiplication(B,coantidomain(C))) addition B -> B
% 9.62/9.87  Current number of equations to process: 2367
% 9.62/9.87  Current number of ordered equations: 1
% 9.62/9.87  Current number of rules: 428
% 9.62/9.87  New rule produced :
% 9.62/9.87  [707] multiplication(c(c(A)),multiplication(B,codomain(C))) addition B -> B
% 9.62/9.87  Current number of equations to process: 2367
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 429
% 9.62/9.87  New rule produced :
% 9.62/9.87  [708] multiplication(c(c(A)),multiplication(antidomain(B),C)) addition C -> C
% 9.62/9.87  Current number of equations to process: 2366
% 9.62/9.87  Current number of ordered equations: 0
% 9.62/9.87  Current number of rules: 430
% 9.62/9.87  New rule produced :
% 9.62/9.87  [709]
% 9.62/9.87  multiplication(c(c(A)),multiplication(coantidomain(B),C)) addition C -> C
% 9.62/9.87  Current number of equations to process: 2364
% 9.62/9.87  Current number of ordered equations: 1
% 9.62/9.87  Current number of rules: 431
% 9.62/9.87  New rule produced :
% 9.62/9.87  [710] multiplication(c(c(A)),multiplication(codomain(B),C)) addition C -> C
% 9.62/9.87  Current number of equations to process: 2364
% 9.62/9.87  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 432
% 10.04/10.29  New rule produced :
% 10.04/10.29  [711] multiplication(multiplication(A,c(c(B))),antidomain(C)) addition A -> A
% 10.04/10.29  Current number of equations to process: 2363
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 433
% 10.04/10.29  New rule produced :
% 10.04/10.29  [712] multiplication(multiplication(c(c(A)),B),antidomain(C)) addition B -> B
% 10.04/10.29  Current number of equations to process: 2362
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 434
% 10.04/10.29  New rule produced :
% 10.04/10.29  [713] multiplication(antidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 10.04/10.29  Current number of equations to process: 2361
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 435
% 10.04/10.29  New rule produced :
% 10.04/10.29  [714] multiplication(antidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 10.04/10.29  Current number of equations to process: 2360
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 436
% 10.04/10.29  New rule produced :
% 10.04/10.29  [715] multiplication(multiplication(A,c(c(B))),codomain(C)) addition A -> A
% 10.04/10.29  Current number of equations to process: 2359
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 437
% 10.04/10.29  New rule produced :
% 10.04/10.29  [716] multiplication(multiplication(c(c(A)),B),codomain(C)) addition B -> B
% 10.04/10.29  Current number of equations to process: 2358
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 438
% 10.04/10.29  New rule produced :
% 10.04/10.29  [717] multiplication(codomain(A),multiplication(B,c(c(C)))) addition B -> B
% 10.04/10.29  Current number of equations to process: 2357
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 439
% 10.04/10.29  New rule produced :
% 10.04/10.29  [718] multiplication(codomain(A),multiplication(c(c(B)),C)) addition C -> C
% 10.04/10.29  Current number of equations to process: 2356
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 440
% 10.04/10.29  New rule produced :
% 10.04/10.29  [719]
% 10.04/10.29  multiplication(multiplication(A,c(c(B))),coantidomain(C)) addition A -> A
% 10.04/10.29  Current number of equations to process: 2355
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 441
% 10.04/10.29  New rule produced :
% 10.04/10.29  [720]
% 10.04/10.29  multiplication(multiplication(c(c(A)),B),coantidomain(C)) addition B -> B
% 10.04/10.29  Current number of equations to process: 2354
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 442
% 10.04/10.29  New rule produced :
% 10.04/10.29  [721]
% 10.04/10.29  multiplication(coantidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 10.04/10.29  Current number of equations to process: 2353
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 443
% 10.04/10.29  New rule produced :
% 10.04/10.29  [722]
% 10.04/10.29  multiplication(coantidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 10.04/10.29  Current number of equations to process: 2352
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 444
% 10.04/10.29  New rule produced :
% 10.04/10.29  [723]
% 10.04/10.29  antidomain(multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))))
% 10.04/10.29  -> one
% 10.04/10.29  Current number of equations to process: 2351
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 445
% 10.04/10.29  New rule produced :
% 10.04/10.29  [724]
% 10.04/10.29  antidomain(multiplication(coantidomain(A),c(c(multiplication(codomain(A),B)))))
% 10.04/10.29  -> one
% 10.04/10.29  Current number of equations to process: 2350
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 446
% 10.04/10.29  New rule produced :
% 10.04/10.29  [725]
% 10.04/10.29  c(multiplication(A,multiplication(B,c(c(C))))) ->
% 10.04/10.29  antidomain(forward_diamond(multiplication(A,B),C))
% 10.04/10.29  Current number of equations to process: 2347
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 447
% 10.04/10.29  New rule produced :
% 10.04/10.29  [726]
% 10.04/10.29  c(c(multiplication(A,multiplication(B,c(C))))) ->
% 10.04/10.29  forward_diamond(multiplication(A,B),antidomain(C))
% 10.04/10.29  Current number of equations to process: 2346
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 448
% 10.04/10.29  New rule produced :
% 10.04/10.29  [727]
% 10.04/10.29  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(B),C))
% 10.04/10.29  -> zero
% 10.04/10.29  Current number of equations to process: 2429
% 10.04/10.29  Current number of ordered equations: 0
% 10.04/10.29  Current number of rules: 449
% 10.04/10.29  New rule produced :
% 10.04/10.29  [728]
% 10.04/10.29  c(multiplication(A,multiplication(B,c(C)))) ->
% 10.04/10.29  antidomain(forward_diamond(multiplication(A,B),antidomain(C)))
% 10.04/10.29  Rule
% 10.04/10.29  [725]
% 10.04/10.29  c(multiplication(A,multiplication(B,c(c(C))))) ->
% 10.04/10.29  antidomain(forward_diamond(multiplication(A,B),C)) collapsed.
% 10.04/10.29  Rule
% 10.04/10.29  [726]
% 10.04/10.29  c(c(multiplication(A,multiplication(B,c(C))))) ->
% 10.04/10.29  forward_diamond(multiplication(A,B),antidomain(C)) collapsed.
% 10.52/10.79  Current number of equations to process: 2454
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 448
% 10.52/10.79  New rule produced :
% 10.52/10.79  [729]
% 10.52/10.79  forward_diamond(antidomain(forward_diamond(A,antidomain(B))),multiplication(A,
% 10.52/10.79                                                               c(B))) -> zero
% 10.52/10.79  Current number of equations to process: 2453
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 449
% 10.52/10.79  New rule produced :
% 10.52/10.79  [730]
% 10.52/10.79  c(c(forward_diamond(multiplication(A,B),C))) ->
% 10.52/10.79  forward_diamond(multiplication(A,B),C)
% 10.52/10.79  Current number of equations to process: 2492
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 450
% 10.52/10.79  New rule produced :
% 10.52/10.79  [731] ifeq2(one,antidomain(A),leq(c(c(A)),antidomain(A)),true) -> true
% 10.52/10.79  Current number of equations to process: 2491
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 451
% 10.52/10.79  New rule produced :
% 10.52/10.79  [732]
% 10.52/10.79  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,c(c(B))))) ->
% 10.52/10.79  true
% 10.52/10.79  Current number of equations to process: 2490
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 452
% 10.52/10.79  New rule produced :
% 10.52/10.79  [733] leq(antidomain(A) addition antidomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2533
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 453
% 10.52/10.79  New rule produced : [734] leq(codomain(A) addition antidomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2532
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 454
% 10.52/10.79  New rule produced :
% 10.52/10.79  [735] leq(coantidomain(A) addition antidomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2531
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 455
% 10.52/10.79  New rule produced : [736] leq(c(A) addition antidomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2536
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 456
% 10.52/10.79  New rule produced :
% 10.52/10.79  [737] leq(forward_diamond(A,B) addition antidomain(C),one) -> true
% 10.52/10.79  Current number of equations to process: 2535
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 457
% 10.52/10.79  New rule produced :
% 10.52/10.79  [738] leq(backward_diamond(A,B) addition antidomain(C),one) -> true
% 10.52/10.79  Current number of equations to process: 2534
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 458
% 10.52/10.79  New rule produced : [739] leq(codomain(A) addition codomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2538
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 459
% 10.52/10.79  New rule produced :
% 10.52/10.79  [740] leq(codomain(A) addition coantidomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2537
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 460
% 10.52/10.79  New rule produced : [741] leq(c(A) addition codomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2542
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 461
% 10.52/10.79  New rule produced :
% 10.52/10.79  [742] leq(forward_diamond(A,B) addition codomain(C),one) -> true
% 10.52/10.79  Current number of equations to process: 2541
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 462
% 10.52/10.79  New rule produced :
% 10.52/10.79  [743] leq(backward_diamond(A,B) addition codomain(C),one) -> true
% 10.52/10.79  Current number of equations to process: 2540
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 463
% 10.52/10.79  New rule produced :
% 10.52/10.79  [744] leq(coantidomain(A) addition coantidomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2543
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 464
% 10.52/10.79  New rule produced : [745] leq(c(A) addition coantidomain(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2548
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 465
% 10.52/10.79  New rule produced :
% 10.52/10.79  [746] leq(forward_diamond(A,B) addition coantidomain(C),one) -> true
% 10.52/10.79  Current number of equations to process: 2547
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 466
% 10.52/10.79  New rule produced :
% 10.52/10.79  [747] leq(backward_diamond(A,B) addition coantidomain(C),one) -> true
% 10.52/10.79  Current number of equations to process: 2546
% 10.52/10.79  Current number of ordered equations: 0
% 10.52/10.79  Current number of rules: 467
% 10.52/10.79  New rule produced : [748] leq(c(A) addition c(B),one) -> true
% 10.52/10.79  Current number of equations to process: 2554
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 468
% 11.72/11.95  New rule produced : [749] leq(forward_diamond(A,B) addition c(C),one) -> true
% 11.72/11.95  Current number of equations to process: 2553
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 469
% 11.72/11.95  New rule produced :
% 11.72/11.95  [750] leq(backward_diamond(A,B) addition c(C),one) -> true
% 11.72/11.95  Current number of equations to process: 2552
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 470
% 11.72/11.95  New rule produced :
% 11.72/11.95  [751] leq(coantidomain(A) addition antidomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2556
% 11.72/11.95  Current number of ordered equations: 1
% 11.72/11.95  Current number of rules: 471
% 11.72/11.95  New rule produced :
% 11.72/11.95  [752] leq(codomain(A) addition antidomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2556
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 472
% 11.72/11.95  New rule produced :
% 11.72/11.95  [753] leq(antidomain(A) addition antidomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2559
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 473
% 11.72/11.95  New rule produced :
% 11.72/11.95  [754] leq(c(A) addition antidomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2606
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 474
% 11.72/11.95  New rule produced :
% 11.72/11.95  [755] leq(codomain(A) addition coantidomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2614
% 11.72/11.95  Current number of ordered equations: 1
% 11.72/11.95  Current number of rules: 475
% 11.72/11.95  New rule produced :
% 11.72/11.95  [756] leq(codomain(A) addition codomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2614
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 476
% 11.72/11.95  New rule produced :
% 11.72/11.95  [757]
% 11.72/11.95  leq(forward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2632
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 477
% 11.72/11.95  New rule produced :
% 11.72/11.95  [758]
% 11.72/11.95  leq(backward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2631
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 478
% 11.72/11.95  New rule produced :
% 11.72/11.95  [759] leq(c(A) addition codomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2662
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 479
% 11.72/11.95  New rule produced :
% 11.72/11.95  [760] leq(coantidomain(A) addition coantidomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2670
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 480
% 11.72/11.95  New rule produced :
% 11.72/11.95  [761] leq(forward_diamond(A,B) addition codomain(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2688
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 481
% 11.72/11.95  New rule produced :
% 11.72/11.95  [762] leq(backward_diamond(A,B) addition codomain(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2687
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 482
% 11.72/11.95  New rule produced :
% 11.72/11.95  [763] leq(c(A) addition coantidomain(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2718
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 483
% 11.72/11.95  New rule produced :
% 11.72/11.95  [764]
% 11.72/11.95  leq(forward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2744
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 484
% 11.72/11.95  New rule produced :
% 11.72/11.95  [765]
% 11.72/11.95  leq(backward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2743
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 485
% 11.72/11.95  New rule produced : [766] leq(c(A) addition c(B),one addition C) -> true
% 11.72/11.95  Current number of equations to process: 2774
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 486
% 11.72/11.95  New rule produced :
% 11.72/11.95  [767] leq(forward_diamond(A,B) addition c(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2780
% 11.72/11.95  Current number of ordered equations: 0
% 11.72/11.95  Current number of rules: 487
% 11.72/11.95  New rule produced :
% 11.72/11.95  [768] leq(backward_diamond(A,B) addition c(C),one addition X0) -> true
% 11.72/11.95  Current number of equations to process: 2779
% 11.72/11.95  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 488
% 12.13/12.44  New rule produced :
% 12.13/12.44  [769] leq(forward_diamond(A,B) addition forward_diamond(C,X0),one) -> true
% 12.13/12.44  Current number of equations to process: 2783
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 489
% 12.13/12.44  New rule produced :
% 12.13/12.44  [770] leq(backward_diamond(A,B) addition forward_diamond(C,X0),one) -> true
% 12.13/12.44  Current number of equations to process: 2782
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 490
% 12.13/12.44  New rule produced : [771] ifeq2(one,c(A),leq(c(c(A)),c(A)),true) -> true
% 12.13/12.44  Current number of equations to process: 2869
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 491
% 12.13/12.44  New rule produced :
% 12.13/12.44  [772]
% 12.13/12.44  multiplication(c(c(A)),multiplication(coantidomain(antidomain(A)),B)) ->
% 12.13/12.44  multiplication(coantidomain(antidomain(A)),B)
% 12.13/12.44  Current number of equations to process: 2868
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 492
% 12.13/12.44  New rule produced :
% 12.13/12.44  [773] leq(multiplication(c(c(A)),B) addition C,B addition C) -> true
% 12.13/12.44  Current number of equations to process: 2867
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 493
% 12.13/12.44  New rule produced :
% 12.13/12.44  [774]
% 12.13/12.44  antidomain(B) addition multiplication(antidomain(A),c(c(B))) ->
% 12.13/12.44  antidomain(A) addition antidomain(B)
% 12.13/12.44  Current number of equations to process: 2866
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 494
% 12.13/12.44  New rule produced :
% 12.13/12.44  [775]
% 12.13/12.44  antidomain(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 12.13/12.44  coantidomain(B) addition antidomain(A)
% 12.13/12.44  Current number of equations to process: 2865
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 495
% 12.13/12.44  New rule produced :
% 12.13/12.44  [776]
% 12.13/12.44  antidomain(B) addition multiplication(coantidomain(A),c(c(B))) ->
% 12.13/12.44  coantidomain(A) addition antidomain(B)
% 12.13/12.44  Current number of equations to process: 2864
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 496
% 12.13/12.44  New rule produced :
% 12.13/12.44  [777] multiplication(multiplication(A,c(c(B))),c(c(C))) addition A -> A
% 12.13/12.44  Current number of equations to process: 2863
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 497
% 12.13/12.44  New rule produced :
% 12.13/12.44  [778] multiplication(multiplication(c(c(A)),B),c(c(C))) addition B -> B
% 12.13/12.44  Current number of equations to process: 2862
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 498
% 12.13/12.44  New rule produced :
% 12.13/12.44  [779] multiplication(c(c(A)),multiplication(B,c(c(C)))) addition B -> B
% 12.13/12.44  Current number of equations to process: 2861
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 499
% 12.13/12.44  New rule produced :
% 12.13/12.44  [780] multiplication(c(c(A)),multiplication(c(c(B)),C)) addition C -> C
% 12.13/12.44  Current number of equations to process: 2860
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 500
% 12.13/12.44  New rule produced :
% 12.13/12.44  [781]
% 12.13/12.44  antidomain(A) addition multiplication(c(c(A)),antidomain(B)) ->
% 12.13/12.44  antidomain(A) addition antidomain(B)
% 12.13/12.44  Current number of equations to process: 2859
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 501
% 12.13/12.44  New rule produced :
% 12.13/12.44  [782]
% 12.13/12.44  antidomain(B) addition multiplication(codomain(A),c(c(B))) ->
% 12.13/12.44  codomain(A) addition antidomain(B)
% 12.13/12.44  Current number of equations to process: 2858
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 502
% 12.13/12.44  New rule produced :
% 12.13/12.44  [783]
% 12.13/12.44  antidomain(B) addition multiplication(c(c(B)),codomain(A)) ->
% 12.13/12.44  codomain(A) addition antidomain(B)
% 12.13/12.44  Current number of equations to process: 2857
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 503
% 12.13/12.44  New rule produced :
% 12.13/12.44  [784]
% 12.13/12.44  multiplication(multiplication(A,c(c(B))),c(c(B))) ->
% 12.13/12.44  multiplication(A,c(c(B)))
% 12.13/12.44  Current number of equations to process: 2856
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 504
% 12.13/12.44  New rule produced :
% 12.13/12.44  [785]
% 12.13/12.44  antidomain(multiplication(c(c(A)),c(c(multiplication(antidomain(A),B))))) ->
% 12.13/12.44  one
% 12.13/12.44  Current number of equations to process: 2855
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 505
% 12.13/12.44  New rule produced :
% 12.13/12.44  [786] antidomain(multiplication(c(A),c(c(multiplication(c(c(A)),B))))) -> one
% 12.13/12.44  Current number of equations to process: 2854
% 12.13/12.44  Current number of ordered equations: 0
% 12.13/12.44  Current number of rules: 506
% 12.13/12.44  New rule produced :
% 12.13/12.44  [787]
% 12.13/12.44  leq(antidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2852
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 507
% 12.33/12.56  New rule produced :
% 12.33/12.56  [788]
% 12.33/12.56  leq(codomain(A) addition antidomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2851
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 508
% 12.33/12.56  New rule produced :
% 12.33/12.56  [789]
% 12.33/12.56  leq(coantidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2850
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 509
% 12.33/12.56  New rule produced :
% 12.33/12.56  [790] leq(c(A) addition antidomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2849
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 510
% 12.33/12.56  New rule produced :
% 12.33/12.56  [791] leq(codomain(A) addition codomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2847
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 511
% 12.33/12.56  New rule produced :
% 12.33/12.56  [792]
% 12.33/12.56  leq(codomain(A) addition coantidomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2846
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 512
% 12.33/12.56  New rule produced :
% 12.33/12.56  [793] leq(c(A) addition codomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2845
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 513
% 12.33/12.56  New rule produced :
% 12.33/12.56  [794]
% 12.33/12.56  leq(coantidomain(A) addition coantidomain(B) addition C,one addition C) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2842
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 514
% 12.33/12.56  New rule produced :
% 12.33/12.56  [795] leq(c(A) addition coantidomain(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2841
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 515
% 12.33/12.56  New rule produced :
% 12.33/12.56  [796] leq(c(A) addition c(B) addition C,one addition C) -> true
% 12.33/12.56  Current number of equations to process: 2837
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 516
% 12.33/12.56  New rule produced :
% 12.33/12.56  [797]
% 12.33/12.56  leq(antidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2833
% 12.33/12.56  Current number of ordered equations: 1
% 12.33/12.56  Current number of rules: 517
% 12.33/12.56  New rule produced :
% 12.33/12.56  [798]
% 12.33/12.56  leq(antidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 12.33/12.56  -> true
% 12.33/12.56  Current number of equations to process: 2833
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 518
% 12.33/12.56  New rule produced :
% 12.33/12.56  [799]
% 12.33/12.56  leq(antidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2831
% 12.33/12.56  Current number of ordered equations: 1
% 12.33/12.56  Current number of rules: 519
% 12.33/12.56  New rule produced :
% 12.33/12.56  [800]
% 12.33/12.56  leq(antidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 12.33/12.56  -> true
% 12.33/12.56  Current number of equations to process: 2831
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 520
% 12.33/12.56  New rule produced :
% 12.33/12.56  [801]
% 12.33/12.56  leq(antidomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2829
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 521
% 12.33/12.56  New rule produced :
% 12.33/12.56  [802]
% 12.33/12.56  leq(antidomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2828
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 522
% 12.33/12.56  New rule produced :
% 12.33/12.56  [803]
% 12.33/12.56  leq(codomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2820
% 12.33/12.56  Current number of ordered equations: 1
% 12.33/12.56  Current number of rules: 523
% 12.33/12.56  New rule produced :
% 12.33/12.56  [804]
% 12.33/12.56  leq(codomain(A) addition multiplication(B,coantidomain(C)),one addition B) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2820
% 12.33/12.56  Current number of ordered equations: 0
% 12.33/12.56  Current number of rules: 524
% 12.33/12.56  New rule produced :
% 12.33/12.56  [805]
% 12.33/12.56  leq(codomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 12.33/12.56  true
% 12.33/12.56  Current number of equations to process: 2818
% 12.33/12.56  Current number of ordered equations: 1
% 12.33/12.56  Current number of rules: 525
% 12.33/12.56  New rule produced :
% 12.33/12.56  [806]
% 12.33/12.56  leq(codomain(A) addition multiplication(coantidomain(B),C),one addition C) ->
% 12.84/13.09  true
% 12.84/13.09  Current number of equations to process: 2818
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 526
% 12.84/13.09  New rule produced :
% 12.84/13.09  [807]
% 12.84/13.09  leq(codomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 12.84/13.09  true
% 12.84/13.09  Current number of equations to process: 2816
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 527
% 12.84/13.09  New rule produced :
% 12.84/13.09  [808]
% 12.84/13.09  leq(codomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 12.84/13.09  true
% 12.84/13.09  Current number of equations to process: 2815
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 528
% 12.84/13.09  New rule produced :
% 12.84/13.09  [809]
% 12.84/13.09  leq(coantidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 12.84/13.09  true
% 12.84/13.09  Current number of equations to process: 2807
% 12.84/13.09  Current number of ordered equations: 1
% 12.84/13.09  Current number of rules: 529
% 12.84/13.09  New rule produced :
% 12.84/13.09  [810]
% 12.84/13.09  leq(coantidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 12.84/13.09  -> true
% 12.84/13.09  Current number of equations to process: 2807
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 530
% 12.84/13.09  New rule produced :
% 12.84/13.09  [811]
% 12.84/13.09  leq(coantidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 12.84/13.09  true
% 12.84/13.09  Current number of equations to process: 2805
% 12.84/13.09  Current number of ordered equations: 1
% 12.84/13.09  Current number of rules: 531
% 12.84/13.09  New rule produced :
% 12.84/13.09  [812]
% 12.84/13.09  leq(coantidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 12.84/13.09  -> true
% 12.84/13.09  Current number of equations to process: 2805
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 532
% 12.84/13.09  New rule produced :
% 12.84/13.09  [813]
% 12.84/13.09  leq(coantidomain(A) addition multiplication(B,antidomain(C)),one addition B)
% 12.84/13.09  -> true
% 12.84/13.09  Current number of equations to process: 2803
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 533
% 12.84/13.09  New rule produced :
% 12.84/13.09  [814]
% 12.84/13.09  leq(coantidomain(A) addition multiplication(antidomain(B),C),one addition C)
% 12.84/13.09  -> true
% 12.84/13.09  Current number of equations to process: 2802
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 534
% 12.84/13.09  New rule produced :
% 12.84/13.09  [815] leq(c(A) addition multiplication(B,codomain(C)),one addition B) -> true
% 12.84/13.09  Current number of equations to process: 2794
% 12.84/13.09  Current number of ordered equations: 1
% 12.84/13.09  Current number of rules: 535
% 12.84/13.09  New rule produced :
% 12.84/13.09  [816]
% 12.84/13.09  leq(c(A) addition multiplication(B,coantidomain(C)),one addition B) -> true
% 12.84/13.09  Current number of equations to process: 2794
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 536
% 12.84/13.09  New rule produced :
% 12.84/13.09  [817] leq(c(A) addition multiplication(codomain(B),C),one addition C) -> true
% 12.84/13.09  Current number of equations to process: 2792
% 12.84/13.09  Current number of ordered equations: 1
% 12.84/13.09  Current number of rules: 537
% 12.84/13.09  New rule produced :
% 12.84/13.09  [818]
% 12.84/13.09  leq(c(A) addition multiplication(coantidomain(B),C),one addition C) -> true
% 12.84/13.09  Current number of equations to process: 2792
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 538
% 12.84/13.09  New rule produced :
% 12.84/13.09  [819]
% 12.84/13.09  leq(c(A) addition multiplication(B,antidomain(C)),one addition B) -> true
% 12.84/13.09  Current number of equations to process: 2790
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 539
% 12.84/13.09  New rule produced :
% 12.84/13.09  [820]
% 12.84/13.09  leq(c(A) addition multiplication(antidomain(B),C),one addition C) -> true
% 12.84/13.09  Current number of equations to process: 2789
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 540
% 12.84/13.09  New rule produced :
% 12.84/13.09  [821]
% 12.84/13.09  ifeq(leq(c(c(A)),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 12.84/13.09  Current number of equations to process: 2784
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 541
% 12.84/13.09  New rule produced :
% 12.84/13.09  [822] leq(backward_diamond(A,B) addition backward_diamond(C,X0),one) -> true
% 12.84/13.09  Current number of equations to process: 2826
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 542
% 12.84/13.09  New rule produced :
% 12.84/13.09  [823]
% 12.84/13.09  leq(forward_diamond(A,B) addition forward_diamond(C,X0),one addition X1) ->
% 12.84/13.09  true
% 12.84/13.09  Current number of equations to process: 2848
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 543
% 12.84/13.09  New rule produced :
% 12.84/13.09  [824]
% 12.84/13.09  leq(backward_diamond(A,B) addition forward_diamond(C,X0),one addition X1) ->
% 12.84/13.09  true
% 12.84/13.09  Current number of equations to process: 2847
% 12.84/13.09  Current number of ordered equations: 0
% 12.84/13.09  Current number of rules: 544
% 12.84/13.09  New rule produced : [825] ifeq(leq(c(c(A)),c(A)),true,one,c(A)) -> c(A)
% 13.22/13.54  Current number of equations to process: 2846
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 545
% 13.22/13.54  New rule produced :
% 13.22/13.54  [826] forward_diamond(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 13.22/13.54  Current number of equations to process: 2884
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 546
% 13.22/13.54  New rule produced : [827] multiplication(c(A),A) -> zero
% 13.22/13.54  Rule [649] multiplication(c(c(A)),c(A)) -> zero collapsed.
% 13.22/13.54  Current number of equations to process: 2886
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 546
% 13.22/13.54  New rule produced :
% 13.22/13.54  [828] multiplication(c(A),coantidomain(antidomain(A))) -> zero
% 13.22/13.54  Current number of equations to process: 2885
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 547
% 13.22/13.54  New rule produced :
% 13.22/13.54  [829]
% 13.22/13.54  multiplication(c(A),multiplication(antidomain(A),B)) ->
% 13.22/13.54  multiplication(c(A),B)
% 13.22/13.54  Current number of equations to process: 2889
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 548
% 13.22/13.54  New rule produced : [830] multiplication(c(A),multiplication(A,B)) -> zero
% 13.22/13.54  Rule [661] multiplication(c(c(A)),multiplication(c(A),B)) -> zero collapsed.
% 13.22/13.54  Current number of equations to process: 2892
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 548
% 13.22/13.54  New rule produced :
% 13.22/13.54  [831]
% 13.22/13.54  multiplication(c(A),multiplication(coantidomain(antidomain(A)),B)) -> zero
% 13.22/13.54  Current number of equations to process: 2892
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 549
% 13.22/13.54  New rule produced :
% 13.22/13.54  [832] leq(multiplication(codomain(A),antidomain(B)),one) -> true
% 13.22/13.54  Current number of equations to process: 2905
% 13.22/13.54  Current number of ordered equations: 1
% 13.22/13.54  Current number of rules: 550
% 13.22/13.54  New rule produced :
% 13.22/13.54  [833] leq(multiplication(coantidomain(A),antidomain(B)),one) -> true
% 13.22/13.54  Current number of equations to process: 2905
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 551
% 13.22/13.54  New rule produced :
% 13.22/13.54  [834] leq(multiplication(antidomain(A),antidomain(B)),one) -> true
% 13.22/13.54  Current number of equations to process: 2909
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 552
% 13.22/13.54  New rule produced :
% 13.22/13.54  [835] leq(multiplication(codomain(A),antidomain(B)),one addition C) -> true
% 13.22/13.54  Current number of equations to process: 2919
% 13.22/13.54  Current number of ordered equations: 1
% 13.22/13.54  Current number of rules: 553
% 13.22/13.54  New rule produced :
% 13.22/13.54  [836]
% 13.22/13.54  leq(multiplication(coantidomain(A),antidomain(B)),one addition C) -> true
% 13.22/13.54  Current number of equations to process: 2919
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 554
% 13.22/13.54  New rule produced :
% 13.22/13.54  [837] leq(multiplication(antidomain(A),antidomain(B)),one addition C) -> true
% 13.22/13.54  Current number of equations to process: 2918
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 555
% 13.22/13.54  New rule produced :
% 13.22/13.54  [838]
% 13.22/13.54  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A) -> true
% 13.22/13.54  Current number of equations to process: 2914
% 13.22/13.54  Current number of ordered equations: 1
% 13.22/13.54  Current number of rules: 556
% 13.22/13.54  New rule produced :
% 13.22/13.54  [839]
% 13.22/13.54  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A) ->
% 13.22/13.54  true
% 13.22/13.54  Current number of equations to process: 2914
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 557
% 13.22/13.54  New rule produced :
% 13.22/13.54  [840]
% 13.22/13.54  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B) -> true
% 13.22/13.54  Current number of equations to process: 2912
% 13.22/13.54  Current number of ordered equations: 1
% 13.22/13.54  Current number of rules: 558
% 13.22/13.54  New rule produced :
% 13.22/13.54  [841]
% 13.22/13.54  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B) ->
% 13.22/13.54  true
% 13.22/13.54  Current number of equations to process: 2912
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 559
% 13.22/13.54  New rule produced : [842] leq(multiplication(c(A),antidomain(B)),one) -> true
% 13.22/13.54  Current number of equations to process: 2927
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 560
% 13.22/13.54  New rule produced :
% 13.22/13.54  [843] leq(multiplication(antidomain(A),antidomain(B)),c(A)) -> true
% 13.22/13.54  Current number of equations to process: 2926
% 13.22/13.54  Current number of ordered equations: 0
% 13.22/13.54  Current number of rules: 561
% 13.22/13.54  New rule produced :
% 13.22/13.54  [844] leq(multiplication(forward_diamond(A,B),antidomain(C)),one) -> true
% 13.22/13.54  Current number of equations to process: 2925
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 562
% 13.54/13.76  New rule produced :
% 13.54/13.76  [845] leq(multiplication(backward_diamond(A,B),antidomain(C)),one) -> true
% 13.54/13.76  Current number of equations to process: 2924
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 563
% 13.54/13.76  New rule produced :
% 13.54/13.76  [846] leq(multiplication(c(A),antidomain(B)),one addition C) -> true
% 13.54/13.76  Current number of equations to process: 2926
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 564
% 13.54/13.76  New rule produced :
% 13.54/13.76  [847]
% 13.54/13.76  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A) -> true
% 13.54/13.76  Current number of equations to process: 2925
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 565
% 13.54/13.76  New rule produced :
% 13.54/13.76  [848]
% 13.54/13.76  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B) -> true
% 13.54/13.76  Current number of equations to process: 2924
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 566
% 13.54/13.76  New rule produced :
% 13.54/13.76  [849] backward_diamond(codomain(codomain(A)),A) -> codomain(codomain(A))
% 13.54/13.76  Current number of equations to process: 2926
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 567
% 13.54/13.76  Rule [36] backward_diamond(one,A) -> codomain(codomain(A)) is composed into 
% 13.54/13.76  [36] backward_diamond(one,A) -> codomain(A)
% 13.54/13.76  New rule produced : [850] codomain(codomain(A)) -> codomain(A)
% 13.54/13.76  Rule [161] backward_diamond(codomain(codomain(A)),coantidomain(A)) -> zero
% 13.54/13.76  collapsed.
% 13.54/13.76  Rule
% 13.54/13.76  [371] codomain(codomain(A)) addition codomain(A) -> codomain(codomain(A))
% 13.54/13.76  collapsed.
% 13.54/13.76  Rule [412] multiplication(coantidomain(A),codomain(codomain(A))) -> zero
% 13.54/13.76  collapsed.
% 13.54/13.76  Rule [413] codomain(codomain(A)) addition coantidomain(A) -> one collapsed.
% 13.54/13.76  Rule [428] multiplication(codomain(codomain(A)),coantidomain(A)) -> zero
% 13.54/13.76  collapsed.
% 13.54/13.76  Rule
% 13.54/13.76  [555]
% 13.54/13.76  multiplication(A,codomain(codomain(B))) addition multiplication(A,coantidomain(B))
% 13.54/13.76  -> A collapsed.
% 13.54/13.76  Rule
% 13.54/13.76  [556]
% 13.54/13.76  multiplication(codomain(codomain(A)),B) addition multiplication(coantidomain(A),B)
% 13.54/13.76  -> B collapsed.
% 13.54/13.76  Rule
% 13.54/13.76  [579]
% 13.54/13.76  multiplication(multiplication(A,coantidomain(B)),codomain(codomain(B))) ->
% 13.54/13.76  zero collapsed.
% 13.54/13.76  Rule
% 13.54/13.76  [583]
% 13.54/13.76  multiplication(coantidomain(A),multiplication(codomain(codomain(A)),B)) ->
% 13.54/13.76  zero collapsed.
% 13.54/13.76  Rule
% 13.54/13.76  [626]
% 13.54/13.76  backward_diamond(codomain(codomain(codomain(A))),coantidomain(A)) -> zero
% 13.54/13.76  collapsed.
% 13.54/13.76  Rule [849] backward_diamond(codomain(codomain(A)),A) -> codomain(codomain(A))
% 13.54/13.76  collapsed.
% 13.54/13.76  Current number of equations to process: 2934
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 557
% 13.54/13.76  New rule produced : [851] backward_diamond(codomain(A),A) -> codomain(A)
% 13.54/13.76  Current number of equations to process: 2933
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 558
% 13.54/13.76  New rule produced :
% 13.54/13.76  [852] backward_diamond(codomain(A),coantidomain(A)) -> zero
% 13.54/13.76  Rule
% 13.54/13.76  [625]
% 13.54/13.76  backward_diamond(codomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 13.54/13.76  -> zero collapsed.
% 13.54/13.76  Current number of equations to process: 2932
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 558
% 13.54/13.76  New rule produced :
% 13.54/13.76  [853] multiplication(A,multiplication(codomain(A),B)) -> multiplication(A,B)
% 13.54/13.76  Current number of equations to process: 2939
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 559
% 13.54/13.76  New rule produced :
% 13.54/13.76  [854]
% 13.54/13.76  codomain(antidomain(A)) addition antidomain(A) -> codomain(antidomain(A))
% 13.54/13.76  Current number of equations to process: 2943
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 560
% 13.54/13.76  New rule produced :
% 13.54/13.76  [855]
% 13.54/13.76  backward_diamond(multiplication(codomain(B),A),B) -> backward_diamond(A,B)
% 13.54/13.76  Current number of equations to process: 2946
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 561
% 13.54/13.76  New rule produced :
% 13.54/13.76  [856]
% 13.54/13.76  multiplication(multiplication(A,B),coantidomain(backward_diamond(B,A))) ->
% 13.54/13.76  zero
% 13.54/13.76  Current number of equations to process: 2945
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 562
% 13.54/13.76  New rule produced :
% 13.54/13.76  [857] coantidomain(A) addition antidomain(codomain(A)) -> coantidomain(A)
% 13.54/13.76  Current number of equations to process: 2952
% 13.54/13.76  Current number of ordered equations: 0
% 13.54/13.76  Current number of rules: 563
% 13.54/13.76  New rule produced :
% 13.54/13.76  [858] codomain(A) addition antidomain(coantidomain(A)) -> codomain(A)
% 14.00/14.24  Current number of equations to process: 2964
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 564
% 14.00/14.24  New rule produced :
% 14.00/14.24  [859]
% 14.00/14.24  multiplication(multiplication(codomain(A),B),backward_diamond(B,A)) ->
% 14.00/14.24  multiplication(codomain(A),B)
% 14.00/14.24  Current number of equations to process: 2978
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 565
% 14.00/14.24  New rule produced :
% 14.00/14.24  [860]
% 14.00/14.24  forward_diamond(multiplication(A,multiplication(B,multiplication(C,c(X0)))),X0)
% 14.00/14.24  -> zero
% 14.00/14.24  Current number of equations to process: 2979
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 566
% 14.00/14.24  New rule produced :
% 14.00/14.24  [861]
% 14.00/14.24  multiplication(multiplication(c(A),B),coantidomain(multiplication(antidomain(A),B)))
% 14.00/14.24  -> zero
% 14.00/14.24  Current number of equations to process: 2978
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 567
% 14.00/14.24  New rule produced :
% 14.00/14.24  [862]
% 14.00/14.24  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B)) ->
% 14.00/14.24  true
% 14.00/14.24  Current number of equations to process: 2977
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 568
% 14.00/14.24  New rule produced :
% 14.00/14.24  [863]
% 14.00/14.24  leq(multiplication(antidomain(A),antidomain(B)),c(A) addition C) -> true
% 14.00/14.24  Current number of equations to process: 2976
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 569
% 14.00/14.24  New rule produced :
% 14.00/14.24  [864]
% 14.00/14.24  leq(multiplication(forward_diamond(A,B),antidomain(C)),one addition X0) ->
% 14.00/14.24  true
% 14.00/14.24  Current number of equations to process: 2975
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 570
% 14.00/14.24  New rule produced :
% 14.00/14.24  [865]
% 14.00/14.24  leq(multiplication(backward_diamond(A,B),antidomain(C)),one addition X0) ->
% 14.00/14.24  true
% 14.00/14.24  Current number of equations to process: 2974
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 571
% 14.00/14.24  New rule produced :
% 14.00/14.24  [866]
% 14.00/14.24  multiplication(multiplication(A,B),multiplication(codomain(B),C)) ->
% 14.00/14.24  multiplication(A,multiplication(B,C))
% 14.00/14.24  Current number of equations to process: 2971
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 572
% 14.00/14.24  New rule produced :
% 14.00/14.24  [867]
% 14.00/14.24  multiplication(antidomain(codomain(A)),multiplication(coantidomain(A),B)) ->
% 14.00/14.24  multiplication(antidomain(codomain(A)),B)
% 14.00/14.24  Current number of equations to process: 2965
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 573
% 14.00/14.24  New rule produced :
% 14.00/14.24  [868]
% 14.00/14.24  multiplication(antidomain(coantidomain(A)),multiplication(codomain(A),B)) ->
% 14.00/14.24  multiplication(antidomain(coantidomain(A)),B)
% 14.00/14.24  Current number of equations to process: 2964
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 574
% 14.00/14.24  New rule produced :
% 14.00/14.24  [869]
% 14.00/14.24  multiplication(multiplication(antidomain(coantidomain(A)),B),coantidomain(
% 14.00/14.24                                                               backward_diamond(B,A)))
% 14.00/14.24  -> zero
% 14.00/14.24  Current number of equations to process: 2963
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 575
% 14.00/14.24  New rule produced :
% 14.00/14.24  [870]
% 14.00/14.24  backward_diamond(codomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 14.00/14.24  -> codomain(backward_diamond(A,B))
% 14.00/14.24  Current number of equations to process: 2962
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 576
% 14.00/14.24  New rule produced :
% 14.00/14.24  [871]
% 14.00/14.24  multiplication(antidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 14.00/14.24  -> antidomain(backward_diamond(A,B))
% 14.00/14.24  Current number of equations to process: 2961
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 577
% 14.00/14.24  New rule produced :
% 14.00/14.24  [872]
% 14.00/14.24  multiplication(coantidomain(A),multiplication(coantidomain(A),B)) ->
% 14.00/14.24  multiplication(coantidomain(A),B)
% 14.00/14.24  Current number of equations to process: 2992
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 578
% 14.00/14.24  New rule produced :
% 14.00/14.24  [873] multiplication(c(A),codomain(antidomain(A))) -> c(A)
% 14.00/14.24  Current number of equations to process: 3009
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 579
% 14.00/14.24  New rule produced :
% 14.00/14.24  [874] leq(multiplication(A,backward_diamond(B,C)),A) -> true
% 14.00/14.24  Current number of equations to process: 3010
% 14.00/14.24  Current number of ordered equations: 0
% 14.00/14.24  Current number of rules: 580
% 14.00/14.24  New rule produced :
% 14.00/14.24  [875] leq(multiplication(coantidomain(A),codomain(B)),one) -> true
% 14.00/14.24  Current number of equations to process: 3029
% 14.00/14.24  Current number of ordered equations: 1
% 14.00/14.24  Current number of rules: 581
% 14.24/14.47  New rule produced :
% 14.24/14.47  [876] leq(multiplication(codomain(A),codomain(B)),one) -> true
% 14.24/14.47  Current number of equations to process: 3029
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 582
% 14.24/14.47  New rule produced :
% 14.24/14.47  [877] leq(multiplication(antidomain(A),codomain(B)),one) -> true
% 14.24/14.47  Current number of equations to process: 3033
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 583
% 14.24/14.47  New rule produced :
% 14.24/14.47  [878] leq(multiplication(A,backward_diamond(B,C)),A addition X0) -> true
% 14.24/14.47  Current number of equations to process: 3046
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 584
% 14.24/14.47  New rule produced :
% 14.24/14.47  [879] leq(multiplication(coantidomain(A),codomain(B)),one addition C) -> true
% 14.24/14.47  Current number of equations to process: 3044
% 14.24/14.47  Current number of ordered equations: 1
% 14.24/14.47  Current number of rules: 585
% 14.24/14.47  New rule produced :
% 14.24/14.47  [880] leq(multiplication(codomain(A),codomain(B)),one addition C) -> true
% 14.24/14.47  Current number of equations to process: 3044
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 586
% 14.24/14.47  New rule produced :
% 14.24/14.47  [881] leq(multiplication(antidomain(A),codomain(B)),one addition C) -> true
% 14.24/14.47  Current number of equations to process: 3043
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 587
% 14.24/14.47  New rule produced :
% 14.24/14.47  [882]
% 14.24/14.47  leq(multiplication(multiplication(A,codomain(B)),codomain(C)),A) -> true
% 14.24/14.47  Current number of equations to process: 3039
% 14.24/14.47  Current number of ordered equations: 1
% 14.24/14.47  Current number of rules: 588
% 14.24/14.47  New rule produced :
% 14.24/14.47  [883]
% 14.24/14.47  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A) -> true
% 14.24/14.47  Current number of equations to process: 3039
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 589
% 14.24/14.47  New rule produced :
% 14.24/14.47  [884]
% 14.24/14.47  leq(multiplication(multiplication(codomain(A),B),codomain(C)),B) -> true
% 14.24/14.47  Current number of equations to process: 3037
% 14.24/14.47  Current number of ordered equations: 1
% 14.24/14.47  Current number of rules: 590
% 14.24/14.47  New rule produced :
% 14.24/14.47  [885]
% 14.24/14.47  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B) -> true
% 14.24/14.47  Current number of equations to process: 3037
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 591
% 14.24/14.47  New rule produced : [886] leq(multiplication(c(A),codomain(B)),one) -> true
% 14.24/14.47  Current number of equations to process: 3052
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 592
% 14.24/14.47  New rule produced :
% 14.24/14.47  [887] leq(multiplication(antidomain(A),codomain(B)),c(A)) -> true
% 14.24/14.47  Current number of equations to process: 3051
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 593
% 14.24/14.47  New rule produced :
% 14.24/14.47  [888] leq(multiplication(forward_diamond(A,B),codomain(C)),one) -> true
% 14.24/14.47  Current number of equations to process: 3050
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 594
% 14.24/14.47  New rule produced :
% 14.24/14.47  [889] leq(multiplication(backward_diamond(A,B),codomain(C)),one) -> true
% 14.24/14.47  Current number of equations to process: 3049
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 595
% 14.24/14.47  New rule produced :
% 14.24/14.47  [890] leq(multiplication(c(A),codomain(B)),one addition C) -> true
% 14.24/14.47  Current number of equations to process: 3051
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 596
% 14.24/14.47  New rule produced :
% 14.24/14.47  [891]
% 14.24/14.47  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A) -> true
% 14.24/14.47  Current number of equations to process: 3050
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 597
% 14.24/14.47  New rule produced :
% 14.24/14.47  [892]
% 14.24/14.47  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B) -> true
% 14.24/14.47  Current number of equations to process: 3049
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 598
% 14.24/14.47  New rule produced :
% 14.24/14.47  [893] leq(multiplication(codomain(A),coantidomain(B)),one) -> true
% 14.24/14.47  Current number of equations to process: 3056
% 14.24/14.47  Current number of ordered equations: 1
% 14.24/14.47  Current number of rules: 599
% 14.24/14.47  New rule produced :
% 14.24/14.47  [894] leq(multiplication(coantidomain(A),coantidomain(B)),one) -> true
% 14.24/14.47  Current number of equations to process: 3056
% 14.24/14.47  Current number of ordered equations: 0
% 14.24/14.47  Current number of rules: 600
% 14.24/14.47  New rule produced :
% 14.24/14.47  [895] leq(multiplication(antidomain(A),coantidomain(B)),one) -> true
% 14.24/14.47  Current number of equations to process: 3060
% 14.24/14.47  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 601
% 14.48/14.70  New rule produced :
% 14.48/14.70  [896] leq(multiplication(codomain(A),coantidomain(B)),one addition C) -> true
% 14.48/14.70  Current number of equations to process: 3070
% 14.48/14.70  Current number of ordered equations: 1
% 14.48/14.70  Current number of rules: 602
% 14.48/14.70  New rule produced :
% 14.48/14.70  [897]
% 14.48/14.70  leq(multiplication(coantidomain(A),coantidomain(B)),one addition C) -> true
% 14.48/14.70  Current number of equations to process: 3070
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 603
% 14.48/14.70  New rule produced :
% 14.48/14.70  [898]
% 14.48/14.70  leq(multiplication(antidomain(A),coantidomain(B)),one addition C) -> true
% 14.48/14.70  Current number of equations to process: 3069
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 604
% 14.48/14.70  New rule produced :
% 14.48/14.70  [899]
% 14.48/14.70  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A) -> true
% 14.48/14.70  Current number of equations to process: 3065
% 14.48/14.70  Current number of ordered equations: 1
% 14.48/14.70  Current number of rules: 605
% 14.48/14.70  New rule produced :
% 14.48/14.70  [900]
% 14.48/14.70  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),A) ->
% 14.48/14.70  true
% 14.48/14.70  Current number of equations to process: 3065
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 606
% 14.48/14.70  New rule produced :
% 14.48/14.70  [901]
% 14.48/14.70  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),B) ->
% 14.48/14.70  true
% 14.48/14.70  Current number of equations to process: 3063
% 14.48/14.70  Current number of ordered equations: 1
% 14.48/14.70  Current number of rules: 607
% 14.48/14.70  New rule produced :
% 14.48/14.70  [902]
% 14.48/14.70  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B) -> true
% 14.48/14.70  Current number of equations to process: 3063
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 608
% 14.48/14.70  New rule produced :
% 14.48/14.70  [903] leq(multiplication(c(A),coantidomain(B)),one) -> true
% 14.48/14.70  Current number of equations to process: 3078
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 609
% 14.48/14.70  New rule produced :
% 14.48/14.70  [904] leq(multiplication(antidomain(A),coantidomain(B)),c(A)) -> true
% 14.48/14.70  Current number of equations to process: 3077
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 610
% 14.48/14.70  New rule produced :
% 14.48/14.70  [905] leq(multiplication(forward_diamond(A,B),coantidomain(C)),one) -> true
% 14.48/14.70  Current number of equations to process: 3076
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 611
% 14.48/14.70  New rule produced :
% 14.48/14.70  [906] leq(multiplication(backward_diamond(A,B),coantidomain(C)),one) -> true
% 14.48/14.70  Current number of equations to process: 3075
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 612
% 14.48/14.70  New rule produced :
% 14.48/14.70  [907] leq(multiplication(c(A),coantidomain(B)),one addition C) -> true
% 14.48/14.70  Current number of equations to process: 3077
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 613
% 14.48/14.70  New rule produced :
% 14.48/14.70  [908]
% 14.48/14.70  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A) ->
% 14.48/14.70  true
% 14.48/14.70  Current number of equations to process: 3076
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 614
% 14.48/14.70  New rule produced :
% 14.48/14.70  [909]
% 14.48/14.70  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B) ->
% 14.48/14.70  true
% 14.48/14.70  Current number of equations to process: 3075
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 615
% 14.48/14.70  New rule produced :
% 14.48/14.70  [910]
% 14.48/14.70  multiplication(multiplication(multiplication(A,B),C),coantidomain(backward_diamond(C,B)))
% 14.48/14.70  -> zero
% 14.48/14.70  Current number of equations to process: 3085
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 616
% 14.48/14.70  New rule produced :
% 14.48/14.70  [911]
% 14.48/14.70  leq(multiplication(A,multiplication(B,codomain(C))),multiplication(A,B)) ->
% 14.48/14.70  true
% 14.48/14.70  Current number of equations to process: 3084
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 617
% 14.48/14.70  New rule produced :
% 14.48/14.70  [912]
% 14.48/14.70  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B))
% 14.48/14.70  -> true
% 14.48/14.70  Current number of equations to process: 3083
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 618
% 14.48/14.70  New rule produced :
% 14.48/14.70  [913] leq(multiplication(antidomain(A),codomain(B)),c(A) addition C) -> true
% 14.48/14.70  Current number of equations to process: 3082
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 619
% 14.48/14.70  New rule produced :
% 14.48/14.70  [914]
% 14.48/14.70  leq(multiplication(forward_diamond(A,B),codomain(C)),one addition X0) -> true
% 14.48/14.70  Current number of equations to process: 3081
% 14.48/14.70  Current number of ordered equations: 0
% 14.48/14.70  Current number of rules: 620
% 15.33/15.55  New rule produced :
% 15.33/15.55  [915]
% 15.33/15.55  leq(multiplication(backward_diamond(A,B),codomain(C)),one addition X0) ->
% 15.33/15.55  true
% 15.33/15.55  Current number of equations to process: 3080
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 621
% 15.33/15.55  New rule produced :
% 15.33/15.55  [916]
% 15.33/15.55  leq(multiplication(antidomain(A),coantidomain(B)),c(A) addition C) -> true
% 15.33/15.55  Current number of equations to process: 3077
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 622
% 15.33/15.55  New rule produced :
% 15.33/15.55  [917]
% 15.33/15.55  leq(multiplication(forward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 15.33/15.55  true
% 15.33/15.55  Current number of equations to process: 3076
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 623
% 15.33/15.55  New rule produced :
% 15.33/15.55  [918]
% 15.33/15.55  leq(multiplication(backward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 15.33/15.55  true
% 15.33/15.55  Current number of equations to process: 3075
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 624
% 15.33/15.55  New rule produced :
% 15.33/15.55  [919] multiplication(c(codomain(A)),coantidomain(A)) -> c(codomain(A))
% 15.33/15.55  Current number of equations to process: 3075
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 625
% 15.33/15.55  New rule produced :
% 15.33/15.55  [920] multiplication(c(coantidomain(A)),codomain(A)) -> c(coantidomain(A))
% 15.33/15.55  Current number of equations to process: 3088
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 626
% 15.33/15.55  New rule produced :
% 15.33/15.55  [921]
% 15.33/15.55  multiplication(multiplication(A,antidomain(B)),antidomain(B)) ->
% 15.33/15.55  multiplication(A,antidomain(B))
% 15.33/15.55  Current number of equations to process: 3185
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 627
% 15.33/15.55  New rule produced : [922] leq(antidomain(A),codomain(antidomain(A))) -> true
% 15.33/15.55  Current number of equations to process: 3191
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 628
% 15.33/15.55  New rule produced :
% 15.33/15.55  [923] leq(antidomain(codomain(A)),coantidomain(A)) -> true
% 15.33/15.55  Current number of equations to process: 3191
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 629
% 15.33/15.55  New rule produced :
% 15.33/15.55  [924] leq(antidomain(coantidomain(A)),codomain(A)) -> true
% 15.33/15.55  Current number of equations to process: 3191
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 630
% 15.33/15.55  New rule produced :
% 15.33/15.55  [925]
% 15.33/15.55  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B) -> true
% 15.33/15.55  Current number of equations to process: 3207
% 15.33/15.55  Current number of ordered equations: 1
% 15.33/15.55  Current number of rules: 631
% 15.33/15.55  New rule produced :
% 15.33/15.55  [926]
% 15.33/15.55  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B) ->
% 15.33/15.55  true
% 15.33/15.55  Current number of equations to process: 3207
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 632
% 15.33/15.55  New rule produced :
% 15.33/15.55  [927]
% 15.33/15.55  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C) -> true
% 15.33/15.55  Current number of equations to process: 3205
% 15.33/15.55  Current number of ordered equations: 1
% 15.33/15.55  Current number of rules: 633
% 15.33/15.55  New rule produced :
% 15.33/15.55  [928]
% 15.33/15.55  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C) ->
% 15.33/15.55  true
% 15.33/15.55  Current number of equations to process: 3205
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 634
% 15.33/15.55  New rule produced : [929] leq(multiplication(antidomain(A),c(B)),one) -> true
% 15.33/15.55  Current number of equations to process: 3220
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 635
% 15.33/15.55  New rule produced :
% 15.33/15.55  [930] leq(multiplication(antidomain(A),antidomain(B)),c(B)) -> true
% 15.33/15.55  Current number of equations to process: 3219
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 636
% 15.33/15.55  New rule produced :
% 15.33/15.55  [931] leq(multiplication(antidomain(A),forward_diamond(B,C)),one) -> true
% 15.33/15.55  Current number of equations to process: 3218
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 637
% 15.33/15.55  New rule produced :
% 15.33/15.55  [932] leq(multiplication(antidomain(A),backward_diamond(B,C)),one) -> true
% 15.33/15.55  Current number of equations to process: 3217
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 638
% 15.33/15.55  New rule produced :
% 15.33/15.55  [933] leq(multiplication(antidomain(A),c(B)),one addition C) -> true
% 15.33/15.55  Current number of equations to process: 3219
% 15.33/15.55  Current number of ordered equations: 0
% 15.33/15.55  Current number of rules: 639
% 15.33/15.55  New rule produced :
% 15.33/15.55  [934]
% 15.33/15.55  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B) -> true
% 15.89/16.11  Current number of equations to process: 3218
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 640
% 15.89/16.11  New rule produced :
% 15.89/16.11  [935]
% 15.89/16.11  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C) -> true
% 15.89/16.11  Current number of equations to process: 3217
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 641
% 15.89/16.11  New rule produced :
% 15.89/16.11  [936] leq(antidomain(A),codomain(antidomain(A)) addition B) -> true
% 15.89/16.11  Current number of equations to process: 3219
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 642
% 15.89/16.11  New rule produced :
% 15.89/16.11  [937] leq(antidomain(codomain(A)),coantidomain(A) addition B) -> true
% 15.89/16.11  Current number of equations to process: 3218
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 643
% 15.89/16.11  New rule produced :
% 15.89/16.11  [938] leq(antidomain(coantidomain(A)),codomain(A) addition B) -> true
% 15.89/16.11  Current number of equations to process: 3217
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 644
% 15.89/16.11  New rule produced :
% 15.89/16.11  [939]
% 15.89/16.11  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C)) ->
% 15.89/16.11  true
% 15.89/16.11  Current number of equations to process: 3234
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 645
% 15.89/16.11  New rule produced :
% 15.89/16.11  [940]
% 15.89/16.11  leq(multiplication(antidomain(A),antidomain(B)),c(B) addition C) -> true
% 15.89/16.11  Current number of equations to process: 3233
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 646
% 15.89/16.11  New rule produced :
% 15.89/16.11  [941]
% 15.89/16.11  leq(multiplication(antidomain(A),forward_diamond(B,C)),one addition X0) ->
% 15.89/16.11  true
% 15.89/16.11  Current number of equations to process: 3232
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 647
% 15.89/16.11  New rule produced :
% 15.89/16.11  [942]
% 15.89/16.11  leq(multiplication(antidomain(A),backward_diamond(B,C)),one addition X0) ->
% 15.89/16.11  true
% 15.89/16.11  Current number of equations to process: 3231
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 648
% 15.89/16.11  New rule produced :
% 15.89/16.11  [943]
% 15.89/16.11  multiplication(backward_diamond(A,B),backward_diamond(A,B)) ->
% 15.89/16.11  backward_diamond(A,B)
% 15.89/16.11  Current number of equations to process: 3266
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 649
% 15.89/16.11  New rule produced :
% 15.89/16.11  [944]
% 15.89/16.11  multiplication(multiplication(A,codomain(B)),codomain(B)) ->
% 15.89/16.11  multiplication(A,codomain(B))
% 15.89/16.11  Current number of equations to process: 3265
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 650
% 15.89/16.11  New rule produced :
% 15.89/16.11  [945]
% 15.89/16.11  backward_diamond(codomain(B) addition A,B) ->
% 15.89/16.11  backward_diamond(one addition A,B)
% 15.89/16.11  Current number of equations to process: 3267
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 651
% 15.89/16.11  New rule produced :
% 15.89/16.11  [946] leq(multiplication(backward_diamond(A,B),C),C) -> true
% 15.89/16.11  Current number of equations to process: 3269
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 652
% 15.89/16.11  New rule produced :
% 15.89/16.11  [947]
% 15.89/16.11  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(B,A)))
% 15.89/16.11  -> zero
% 15.89/16.11  Current number of equations to process: 3301
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 653
% 15.89/16.11  New rule produced :
% 15.89/16.11  [948] leq(multiplication(backward_diamond(A,B),C),C addition X0) -> true
% 15.89/16.11  Current number of equations to process: 3300
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 654
% 15.89/16.11  New rule produced :
% 15.89/16.11  [949]
% 15.89/16.11  leq(multiplication(codomain(A),multiplication(B,codomain(C))),B) -> true
% 15.89/16.11  Current number of equations to process: 3298
% 15.89/16.11  Current number of ordered equations: 1
% 15.89/16.11  Current number of rules: 655
% 15.89/16.11  New rule produced :
% 15.89/16.11  [950]
% 15.89/16.11  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B) -> true
% 15.89/16.11  Current number of equations to process: 3298
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 656
% 15.89/16.11  New rule produced :
% 15.89/16.11  [951]
% 15.89/16.11  leq(multiplication(codomain(A),multiplication(codomain(B),C)),C) -> true
% 15.89/16.11  Current number of equations to process: 3296
% 15.89/16.11  Current number of ordered equations: 1
% 15.89/16.11  Current number of rules: 657
% 15.89/16.11  New rule produced :
% 15.89/16.11  [952]
% 15.89/16.11  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C) -> true
% 15.89/16.11  Current number of equations to process: 3296
% 15.89/16.11  Current number of ordered equations: 0
% 15.89/16.11  Current number of rules: 658
% 15.89/16.11  New rule produced : [953] leq(multiplication(codomain(A),c(B)),one) -> true
% 15.89/16.11  Current number of equations to process: 3311
% 15.89/16.11  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 659
% 16.25/16.49  New rule produced :
% 16.25/16.49  [954] leq(multiplication(codomain(A),antidomain(B)),c(B)) -> true
% 16.25/16.49  Current number of equations to process: 3310
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 660
% 16.25/16.49  New rule produced :
% 16.25/16.49  [955] leq(multiplication(codomain(A),forward_diamond(B,C)),one) -> true
% 16.25/16.49  Current number of equations to process: 3309
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 661
% 16.25/16.49  New rule produced :
% 16.25/16.49  [956] leq(multiplication(codomain(A),backward_diamond(B,C)),one) -> true
% 16.25/16.49  Current number of equations to process: 3308
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 662
% 16.25/16.49  New rule produced :
% 16.25/16.49  [957] leq(multiplication(codomain(A),c(B)),one addition C) -> true
% 16.25/16.49  Current number of equations to process: 3310
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 663
% 16.25/16.49  New rule produced :
% 16.25/16.49  [958]
% 16.25/16.49  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B) -> true
% 16.25/16.49  Current number of equations to process: 3309
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 664
% 16.25/16.49  New rule produced :
% 16.25/16.49  [959]
% 16.25/16.49  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C) -> true
% 16.25/16.49  Current number of equations to process: 3308
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 665
% 16.25/16.49  New rule produced :
% 16.25/16.49  [960]
% 16.25/16.49  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),B) ->
% 16.25/16.49  true
% 16.25/16.49  Current number of equations to process: 3325
% 16.25/16.49  Current number of ordered equations: 1
% 16.25/16.49  Current number of rules: 666
% 16.25/16.49  New rule produced :
% 16.25/16.49  [961]
% 16.25/16.49  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B) -> true
% 16.25/16.49  Current number of equations to process: 3325
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 667
% 16.25/16.49  New rule produced :
% 16.25/16.49  [962]
% 16.25/16.49  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C) -> true
% 16.25/16.49  Current number of equations to process: 3323
% 16.25/16.49  Current number of ordered equations: 1
% 16.25/16.49  Current number of rules: 668
% 16.25/16.49  New rule produced :
% 16.25/16.49  [963]
% 16.25/16.49  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),C) ->
% 16.25/16.49  true
% 16.25/16.49  Current number of equations to process: 3323
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 669
% 16.25/16.49  New rule produced :
% 16.25/16.49  [964] leq(multiplication(coantidomain(A),c(B)),one) -> true
% 16.25/16.49  Current number of equations to process: 3338
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 670
% 16.25/16.49  New rule produced :
% 16.25/16.49  [965] leq(multiplication(coantidomain(A),antidomain(B)),c(B)) -> true
% 16.25/16.49  Current number of equations to process: 3337
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 671
% 16.25/16.49  New rule produced :
% 16.25/16.49  [966] leq(multiplication(coantidomain(A),forward_diamond(B,C)),one) -> true
% 16.25/16.49  Current number of equations to process: 3336
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 672
% 16.25/16.49  New rule produced :
% 16.25/16.49  [967] leq(multiplication(coantidomain(A),backward_diamond(B,C)),one) -> true
% 16.25/16.49  Current number of equations to process: 3335
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 673
% 16.25/16.49  New rule produced :
% 16.25/16.49  [968] leq(multiplication(coantidomain(A),c(B)),one addition C) -> true
% 16.25/16.49  Current number of equations to process: 3337
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 674
% 16.25/16.49  New rule produced :
% 16.25/16.49  [969]
% 16.25/16.49  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B) ->
% 16.25/16.49  true
% 16.25/16.49  Current number of equations to process: 3336
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 675
% 16.25/16.49  New rule produced :
% 16.25/16.49  [970]
% 16.25/16.49  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C) ->
% 16.25/16.49  true
% 16.25/16.49  Current number of equations to process: 3335
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 676
% 16.25/16.49  New rule produced :
% 16.25/16.49  [971]
% 16.25/16.49  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B) -> true
% 16.25/16.49  Current number of equations to process: 3355
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 677
% 16.25/16.49  New rule produced :
% 16.25/16.49  [972]
% 16.25/16.49  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 16.25/16.49  Current number of equations to process: 3354
% 16.25/16.49  Current number of ordered equations: 0
% 16.25/16.49  Current number of rules: 678
% 16.25/16.49  New rule produced :
% 16.25/16.49  [973]
% 16.25/16.49  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 16.85/17.14  Current number of equations to process: 3353
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 679
% 16.85/17.14  New rule produced :
% 16.85/17.14  [974]
% 16.85/17.14  leq(multiplication(multiplication(codomain(A),B),C),multiplication(B,C)) ->
% 16.85/17.14  true
% 16.85/17.14  Current number of equations to process: 3352
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 680
% 16.85/17.14  New rule produced :
% 16.85/17.14  [975]
% 16.85/17.14  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C))
% 16.85/17.14  -> true
% 16.85/17.14  Current number of equations to process: 3351
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 681
% 16.85/17.14  New rule produced :
% 16.85/17.14  [976] leq(multiplication(codomain(A),antidomain(B)),c(B) addition C) -> true
% 16.85/17.14  Current number of equations to process: 3350
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 682
% 16.85/17.14  New rule produced :
% 16.85/17.14  [977]
% 16.85/17.14  leq(multiplication(codomain(A),forward_diamond(B,C)),one addition X0) -> true
% 16.85/17.14  Current number of equations to process: 3349
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 683
% 16.85/17.14  New rule produced :
% 16.85/17.14  [978]
% 16.85/17.14  leq(multiplication(codomain(A),backward_diamond(B,C)),one addition X0) ->
% 16.85/17.14  true
% 16.85/17.14  Current number of equations to process: 3348
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 684
% 16.85/17.14  New rule produced :
% 16.85/17.14  [979]
% 16.85/17.14  leq(multiplication(coantidomain(A),antidomain(B)),c(B) addition C) -> true
% 16.85/17.14  Current number of equations to process: 3345
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 685
% 16.85/17.14  New rule produced :
% 16.85/17.14  [980]
% 16.85/17.14  leq(multiplication(coantidomain(A),forward_diamond(B,C)),one addition X0) ->
% 16.85/17.14  true
% 16.85/17.14  Current number of equations to process: 3344
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 686
% 16.85/17.14  New rule produced :
% 16.85/17.14  [981]
% 16.85/17.14  leq(multiplication(coantidomain(A),backward_diamond(B,C)),one addition X0) ->
% 16.85/17.14  true
% 16.85/17.14  Current number of equations to process: 3343
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 687
% 16.85/17.14  New rule produced :
% 16.85/17.14  [982]
% 16.85/17.14  multiplication(multiplication(A,B),multiplication(C,coantidomain(backward_diamond(C,B))))
% 16.85/17.14  -> zero
% 16.85/17.14  Current number of equations to process: 3461
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 688
% 16.85/17.14  New rule produced :
% 16.85/17.14  [983]
% 16.85/17.14  backward_diamond(multiplication(A,B),codomain(C)) ->
% 16.85/17.14  backward_diamond(multiplication(A,B),C)
% 16.85/17.14  Current number of equations to process: 3464
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 689
% 16.85/17.14  New rule produced :
% 16.85/17.14  [984]
% 16.85/17.14  leq(backward_diamond(A,B) addition backward_diamond(C,X0),one addition X1) ->
% 16.85/17.14  true
% 16.85/17.14  Current number of equations to process: 3481
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 690
% 16.85/17.14  New rule produced :
% 16.85/17.14  [985]
% 16.85/17.14  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A addition X0)
% 16.85/17.14  -> true
% 16.85/17.14  Current number of equations to process: 3479
% 16.85/17.14  Current number of ordered equations: 1
% 16.85/17.14  Current number of rules: 691
% 16.85/17.14  New rule produced :
% 16.85/17.14  [986]
% 16.85/17.14  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A addition X0)
% 16.85/17.14  -> true
% 16.85/17.14  Current number of equations to process: 3479
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 692
% 16.85/17.14  New rule produced :
% 16.85/17.14  [987]
% 16.85/17.14  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B addition X0)
% 16.85/17.14  -> true
% 16.85/17.14  Current number of equations to process: 3477
% 16.85/17.14  Current number of ordered equations: 1
% 16.85/17.14  Current number of rules: 693
% 16.85/17.14  New rule produced :
% 16.85/17.14  [988]
% 16.85/17.14  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B addition X0)
% 16.85/17.14  -> true
% 16.85/17.14  Current number of equations to process: 3477
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 694
% 16.85/17.14  New rule produced :
% 16.85/17.14  [989]
% 16.85/17.14  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A addition X0)
% 16.85/17.14  -> true
% 16.85/17.14  Current number of equations to process: 3476
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 695
% 16.85/17.14  New rule produced :
% 16.85/17.14  [990]
% 16.85/17.14  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B addition X0)
% 16.85/17.14  -> true
% 16.85/17.14  Current number of equations to process: 3475
% 16.85/17.14  Current number of ordered equations: 0
% 16.85/17.14  Current number of rules: 696
% 16.85/17.14  New rule produced :
% 16.85/17.14  [991]
% 16.85/17.14  multiplication(multiplication(A,B),coantidomain(multiplication(B,codomain(
% 16.85/17.14                                                                   multiplication(A,B)))))
% 17.04/17.25  -> zero
% 17.04/17.25  Current number of equations to process: 3469
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 697
% 17.04/17.25  New rule produced :
% 17.04/17.25  [992]
% 17.04/17.25  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 17.04/17.25                                                           multiplication(
% 17.04/17.25                                                           coantidomain(A),B)))
% 17.04/17.25  -> zero
% 17.04/17.25  Current number of equations to process: 3468
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 698
% 17.04/17.25  New rule produced :
% 17.04/17.25  [993]
% 17.04/17.25  multiplication(antidomain(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 17.04/17.25  -> antidomain(coantidomain(backward_diamond(A,B)))
% 17.04/17.25  Current number of equations to process: 3467
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 699
% 17.04/17.25  New rule produced :
% 17.04/17.25  [994]
% 17.04/17.25  leq(antidomain(A) addition multiplication(c(A),antidomain(B)),c(A)) -> true
% 17.04/17.25  Current number of equations to process: 3466
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 700
% 17.04/17.25  New rule produced :
% 17.04/17.25  [995]
% 17.04/17.25  leq(multiplication(A,antidomain(B)) addition multiplication(A,antidomain(C)),A)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3465
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 701
% 17.04/17.25  New rule produced :
% 17.04/17.25  [996]
% 17.04/17.25  leq(multiplication(antidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3464
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 702
% 17.04/17.25  New rule produced :
% 17.04/17.25  [997]
% 17.04/17.25  leq(multiplication(A,codomain(B)) addition multiplication(A,antidomain(C)),A)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3463
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 703
% 17.04/17.25  New rule produced :
% 17.04/17.25  [998]
% 17.04/17.25  leq(multiplication(codomain(A),B) addition multiplication(B,antidomain(C)),B)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3462
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 704
% 17.04/17.25  New rule produced :
% 17.04/17.25  [999]
% 17.04/17.25  leq(multiplication(A,coantidomain(B)) addition multiplication(A,antidomain(C)),A)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3461
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 705
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1000]
% 17.04/17.25  leq(multiplication(coantidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3460
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 706
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1001]
% 17.04/17.25  leq(multiplication(multiplication(A,codomain(B)),codomain(C)),A addition X0)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3457
% 17.04/17.25  Current number of ordered equations: 1
% 17.04/17.25  Current number of rules: 707
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1002]
% 17.04/17.25  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A addition X0)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3457
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 708
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1003]
% 17.04/17.25  leq(multiplication(multiplication(codomain(A),B),codomain(C)),B addition X0)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3455
% 17.04/17.25  Current number of ordered equations: 1
% 17.04/17.25  Current number of rules: 709
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1004]
% 17.04/17.25  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B addition X0)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3455
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 710
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1005]
% 17.04/17.25  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A addition X0)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3454
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 711
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1006]
% 17.04/17.25  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B addition X0)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3453
% 17.04/17.25  Current number of ordered equations: 0
% 17.04/17.25  Current number of rules: 712
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1007]
% 17.04/17.25  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A addition X0)
% 17.04/17.25  -> true
% 17.04/17.25  Current number of equations to process: 3446
% 17.04/17.25  Current number of ordered equations: 1
% 17.04/17.25  Current number of rules: 713
% 17.04/17.25  New rule produced :
% 17.04/17.25  [1008]
% 17.04/17.25  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 17.16/17.37  A addition X0) -> true
% 17.16/17.37  Current number of equations to process: 3446
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 714
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1009]
% 17.16/17.37  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 17.16/17.37  B addition X0) -> true
% 17.16/17.37  Current number of equations to process: 3444
% 17.16/17.37  Current number of ordered equations: 1
% 17.16/17.37  Current number of rules: 715
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1010]
% 17.16/17.37  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B addition X0)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3444
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 716
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1011]
% 17.16/17.37  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A addition X0)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3443
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 717
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1012]
% 17.16/17.37  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B addition X0)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3442
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 718
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1013]
% 17.16/17.37  leq(multiplication(A,backward_diamond(B,C)) addition X0,A addition X0) ->
% 17.16/17.37  true
% 17.16/17.37  Current number of equations to process: 3436
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 719
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1014]
% 17.16/17.37  leq(antidomain(A) addition multiplication(c(A),codomain(B)),c(A)) -> true
% 17.16/17.37  Current number of equations to process: 3435
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 720
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1015]
% 17.16/17.37  leq(multiplication(antidomain(A),B) addition multiplication(B,codomain(C)),B)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3433
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 721
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1016]
% 17.16/17.37  leq(multiplication(A,codomain(B)) addition multiplication(A,codomain(C)),A)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3432
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 722
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1017]
% 17.16/17.37  leq(multiplication(codomain(A),B) addition multiplication(B,codomain(C)),B)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3431
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 723
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1018]
% 17.16/17.37  leq(multiplication(A,codomain(B)) addition multiplication(A,coantidomain(C)),A)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3430
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 724
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1019]
% 17.16/17.37  leq(multiplication(coantidomain(A),B) addition multiplication(B,codomain(C)),B)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3429
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 725
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1020]
% 17.16/17.37  leq(antidomain(A) addition multiplication(c(A),coantidomain(B)),c(A)) -> true
% 17.16/17.37  Current number of equations to process: 3428
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 726
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1021]
% 17.16/17.37  leq(multiplication(antidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3426
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 727
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1022]
% 17.16/17.37  leq(multiplication(codomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3424
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 728
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1023]
% 17.16/17.37  leq(multiplication(A,coantidomain(B)) addition multiplication(A,coantidomain(C)),A)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3423
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 729
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1024]
% 17.16/17.37  leq(multiplication(coantidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3422
% 17.16/17.37  Current number of ordered equations: 0
% 17.16/17.37  Current number of rules: 730
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1025]
% 17.16/17.37  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B addition X0)
% 17.16/17.37  -> true
% 17.16/17.37  Current number of equations to process: 3420
% 17.16/17.37  Current number of ordered equations: 1
% 17.16/17.37  Current number of rules: 731
% 17.16/17.37  New rule produced :
% 17.16/17.37  [1026]
% 17.16/17.37  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3420
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 732
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1027]
% 17.29/17.52  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3418
% 17.29/17.52  Current number of ordered equations: 1
% 17.29/17.52  Current number of rules: 733
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1028]
% 17.29/17.52  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3418
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 734
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1029]
% 17.29/17.52  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3417
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 735
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1030]
% 17.29/17.52  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3416
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 736
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1031]
% 17.29/17.52  leq(antidomain(A) addition multiplication(antidomain(B),c(A)),c(A)) -> true
% 17.29/17.52  Current number of equations to process: 3410
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 737
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1032]
% 17.29/17.52  leq(multiplication(antidomain(A),B) addition multiplication(antidomain(C),B),B)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3408
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 738
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1033]
% 17.29/17.52  leq(multiplication(codomain(A),B) addition multiplication(antidomain(C),B),B)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3406
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 739
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1034]
% 17.29/17.52  leq(multiplication(coantidomain(A),B) addition multiplication(antidomain(C),B),B)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3404
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 740
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1035]
% 17.29/17.52  leq(multiplication(codomain(A),multiplication(B,codomain(C))),B addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3401
% 17.29/17.52  Current number of ordered equations: 1
% 17.29/17.52  Current number of rules: 741
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1036]
% 17.29/17.52  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3401
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 742
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1037]
% 17.29/17.52  leq(multiplication(codomain(A),multiplication(codomain(B),C)),C addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3399
% 17.29/17.52  Current number of ordered equations: 1
% 17.29/17.52  Current number of rules: 743
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1038]
% 17.29/17.52  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3399
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 744
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1039]
% 17.29/17.52  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3398
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 745
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1040]
% 17.29/17.52  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3397
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 746
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1041]
% 17.29/17.52  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 17.29/17.52  B addition X0) -> true
% 17.29/17.52  Current number of equations to process: 3390
% 17.29/17.52  Current number of ordered equations: 1
% 17.29/17.52  Current number of rules: 747
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1042]
% 17.29/17.52  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3390
% 17.29/17.52  Current number of ordered equations: 0
% 17.29/17.52  Current number of rules: 748
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1043]
% 17.29/17.52  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C addition X0)
% 17.29/17.52  -> true
% 17.29/17.52  Current number of equations to process: 3388
% 17.29/17.52  Current number of ordered equations: 1
% 17.29/17.52  Current number of rules: 749
% 17.29/17.52  New rule produced :
% 17.29/17.52  [1044]
% 17.29/17.52  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 17.46/17.68  C addition X0) -> true
% 17.46/17.68  Current number of equations to process: 3388
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 750
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1045]
% 17.46/17.68  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 17.46/17.68  -> true
% 17.46/17.68  Current number of equations to process: 3387
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 751
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1046]
% 17.46/17.68  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 17.46/17.68  -> true
% 17.46/17.68  Current number of equations to process: 3386
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 752
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1047]
% 17.46/17.68  leq(multiplication(backward_diamond(A,B),C) addition X0,C addition X0) ->
% 17.46/17.68  true
% 17.46/17.68  Current number of equations to process: 3380
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 753
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1048]
% 17.46/17.68  leq(antidomain(A) addition multiplication(codomain(B),c(A)),c(A)) -> true
% 17.46/17.68  Current number of equations to process: 3379
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 754
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1049]
% 17.46/17.68  leq(multiplication(codomain(A),B) addition multiplication(codomain(C),B),B)
% 17.46/17.68  -> true
% 17.46/17.68  Current number of equations to process: 3375
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 755
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1050]
% 17.46/17.68  leq(multiplication(codomain(A),B) addition multiplication(coantidomain(C),B),B)
% 17.46/17.68  -> true
% 17.46/17.68  Current number of equations to process: 3373
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 756
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1051]
% 17.46/17.68  leq(antidomain(A) addition multiplication(coantidomain(B),c(A)),c(A)) -> true
% 17.46/17.68  Current number of equations to process: 3372
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 757
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1052]
% 17.46/17.68  leq(multiplication(coantidomain(A),B) addition multiplication(coantidomain(C),B),B)
% 17.46/17.68  -> true
% 17.46/17.68  Current number of equations to process: 3366
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 758
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1053]
% 17.46/17.68  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),coantidomain(
% 17.46/17.68                                                                     c(B)))) ->
% 17.46/17.68  zero
% 17.46/17.68  Current number of equations to process: 3365
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 759
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1054]
% 17.46/17.68  multiplication(antidomain(A),multiplication(coantidomain(c(c(A))),B)) ->
% 17.46/17.68  multiplication(coantidomain(c(c(A))),B)
% 17.46/17.68  Current number of equations to process: 3363
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 760
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1055]
% 17.46/17.68  c(c(B)) addition multiplication(antidomain(A),antidomain(B)) ->
% 17.46/17.68  c(c(B)) addition antidomain(A)
% 17.46/17.68  Current number of equations to process: 3361
% 17.46/17.68  Current number of ordered equations: 1
% 17.46/17.68  Current number of rules: 761
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1056]
% 17.46/17.68  c(c(A)) addition multiplication(antidomain(A),antidomain(B)) ->
% 17.46/17.68  c(c(A)) addition antidomain(B)
% 17.46/17.68  Current number of equations to process: 3361
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 762
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1057]
% 17.46/17.68  c(c(A)) addition multiplication(antidomain(A),codomain(B)) ->
% 17.46/17.68  c(c(A)) addition codomain(B)
% 17.46/17.68  Current number of equations to process: 3359
% 17.46/17.68  Current number of ordered equations: 1
% 17.46/17.68  Current number of rules: 763
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1058]
% 17.46/17.68  c(c(A)) addition multiplication(antidomain(A),coantidomain(B)) ->
% 17.46/17.68  c(c(A)) addition coantidomain(B)
% 17.46/17.68  Current number of equations to process: 3359
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 764
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1059]
% 17.46/17.68  c(c(B)) addition multiplication(codomain(A),antidomain(B)) ->
% 17.46/17.68  c(c(B)) addition codomain(A)
% 17.46/17.68  Current number of equations to process: 3357
% 17.46/17.68  Current number of ordered equations: 1
% 17.46/17.68  Current number of rules: 765
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1060]
% 17.46/17.68  c(c(B)) addition multiplication(coantidomain(A),antidomain(B)) ->
% 17.46/17.68  c(c(B)) addition coantidomain(A)
% 17.46/17.68  Current number of equations to process: 3357
% 17.46/17.68  Current number of ordered equations: 0
% 17.46/17.68  Current number of rules: 766
% 17.46/17.68  New rule produced :
% 17.46/17.68  [1061]
% 17.46/17.68  c(c(multiplication(A,antidomain(forward_diamond(B,C))))) ->
% 17.46/17.68  forward_diamond(A,antidomain(multiplication(B,c(c(C)))))
% 17.46/17.68  Current number of equations to process: 3356
% 17.46/17.68  Current number of ordered equations: 0
% 17.65/17.83  Current number of rules: 767
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1062]
% 17.65/17.83  codomain(A) addition multiplication(coantidomain(A),c(c(B))) ->
% 17.65/17.83  c(c(B)) addition codomain(A)
% 17.65/17.83  Current number of equations to process: 3354
% 17.65/17.83  Current number of ordered equations: 1
% 17.65/17.83  Current number of rules: 768
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1063]
% 17.65/17.83  coantidomain(A) addition multiplication(codomain(A),c(c(B))) ->
% 17.65/17.83  c(c(B)) addition coantidomain(A)
% 17.65/17.83  Current number of equations to process: 3354
% 17.65/17.83  Current number of ordered equations: 0
% 17.65/17.83  Current number of rules: 769
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1064]
% 17.65/17.83  codomain(A) addition multiplication(c(c(B)),coantidomain(A)) ->
% 17.65/17.83  c(c(B)) addition codomain(A)
% 17.65/17.83  Current number of equations to process: 3351
% 17.65/17.83  Current number of ordered equations: 1
% 17.65/17.83  Current number of rules: 770
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1065]
% 17.65/17.83  coantidomain(A) addition multiplication(c(c(B)),codomain(A)) ->
% 17.65/17.83  c(c(B)) addition coantidomain(A)
% 17.65/17.83  Current number of equations to process: 3351
% 17.65/17.83  Current number of ordered equations: 0
% 17.65/17.83  Current number of rules: 771
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1066]
% 17.65/17.83  c(A) addition multiplication(c(c(B)),c(c(A))) <->
% 17.65/17.83  c(c(B)) addition multiplication(antidomain(B),c(A))
% 17.65/17.83  Current number of equations to process: 3336
% 17.65/17.83  Current number of ordered equations: 3
% 17.65/17.83  Current number of rules: 772
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1067]
% 17.65/17.83  c(A) addition multiplication(antidomain(B),c(c(A))) ->
% 17.65/17.83  antidomain(B) addition multiplication(c(c(B)),c(A))
% 17.65/17.83  Current number of equations to process: 3336
% 17.65/17.83  Current number of ordered equations: 2
% 17.65/17.83  Current number of rules: 773
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1068]
% 17.65/17.83  c(c(B)) addition multiplication(antidomain(B),c(A)) <->
% 17.65/17.83  c(A) addition multiplication(c(c(B)),c(c(A)))
% 17.65/17.83  Current number of equations to process: 3336
% 17.65/17.83  Current number of ordered equations: 1
% 17.65/17.83  Current number of rules: 774
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1069]
% 17.65/17.83  c(c(A)) addition multiplication(antidomain(B),c(A)) ->
% 17.65/17.83  c(c(A)) addition antidomain(B)
% 17.65/17.83  Current number of equations to process: 3336
% 17.65/17.83  Current number of ordered equations: 0
% 17.65/17.83  Current number of rules: 775
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1070]
% 17.65/17.83  c(A) addition multiplication(codomain(B),c(c(A))) <->
% 17.65/17.83  codomain(B) addition multiplication(coantidomain(B),c(A))
% 17.65/17.83  Current number of equations to process: 3332
% 17.65/17.83  Current number of ordered equations: 4
% 17.65/17.83  Current number of rules: 776
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1071]
% 17.65/17.83  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 17.65/17.83  coantidomain(B) addition multiplication(codomain(B),c(A))
% 17.65/17.83  Current number of equations to process: 3332
% 17.65/17.83  Current number of ordered equations: 3
% 17.65/17.83  Current number of rules: 777
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1072]
% 17.65/17.83  codomain(B) addition multiplication(coantidomain(B),c(A)) <->
% 17.65/17.83  c(A) addition multiplication(codomain(B),c(c(A)))
% 17.65/17.83  Current number of equations to process: 3332
% 17.65/17.83  Current number of ordered equations: 2
% 17.65/17.83  Current number of rules: 778
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1073]
% 17.65/17.83  c(c(A)) addition multiplication(codomain(B),c(A)) ->
% 17.65/17.83  c(c(A)) addition codomain(B)
% 17.65/17.83  Current number of equations to process: 3332
% 17.65/17.83  Current number of ordered equations: 1
% 17.65/17.83  Current number of rules: 779
% 17.65/17.83  New rule produced :
% 17.65/17.83  [1074]
% 17.65/17.83  c(c(A)) addition multiplication(coantidomain(B),c(A)) ->
% 17.65/17.83  c(c(A)) addition coantidomain(B)
% 17.65/17.83  Current number of equations to process: 3332
% 17.65/17.84  Current number of ordered equations: 0
% 17.65/17.84  Current number of rules: 780
% 17.65/17.84  New rule produced :
% 17.65/17.84  [1075]
% 17.65/17.84  c(multiplication(A,antidomain(forward_diamond(B,antidomain(C))))) ->
% 17.65/17.84  antidomain(forward_diamond(A,antidomain(multiplication(B,c(C)))))
% 17.65/17.84  Current number of equations to process: 3331
% 17.65/17.84  Current number of ordered equations: 0
% 17.65/17.84  Current number of rules: 781
% 17.65/17.84  New rule produced :
% 17.65/17.84  [1076]
% 17.65/17.84  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),C)) ->
% 17.65/17.84  multiplication(A,multiplication(c(B),C))
% 17.65/17.84  Rule
% 17.65/17.84  [1053]
% 17.65/17.84  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),coantidomain(
% 17.65/17.84                                                                     c(B)))) ->
% 17.65/17.84  zero collapsed.
% 17.65/17.84  Current number of equations to process: 3330
% 17.65/17.84  Current number of ordered equations: 0
% 17.65/17.84  Current number of rules: 781
% 17.65/17.84  New rule produced :
% 17.65/17.84  [1077]
% 17.65/17.84  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(B),C))
% 17.65/17.84  -> multiplication(A,multiplication(coantidomain(B),C))
% 17.65/17.84  Current number of equations to process: 3325
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 782
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1078]
% 23.62/23.82  multiplication(multiplication(A,antidomain(B)),multiplication(antidomain(B),C))
% 23.62/23.82  -> multiplication(A,multiplication(antidomain(B),C))
% 23.62/23.82  Current number of equations to process: 3320
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 783
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1079]
% 23.62/23.82  multiplication(multiplication(A,codomain(B)),multiplication(codomain(B),C))
% 23.62/23.82  -> multiplication(A,multiplication(codomain(B),C))
% 23.62/23.82  Current number of equations to process: 3315
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 784
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1080]
% 23.62/23.82  codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(A)) ->
% 23.62/23.82  backward_diamond(B,C) addition codomain(A)
% 23.62/23.82  Current number of equations to process: 3655
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 785
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1081]
% 23.62/23.82  multiplication(multiplication(A,c(B)),multiplication(coantidomain(antidomain(B)),C))
% 23.62/23.82  -> zero
% 23.62/23.82  Current number of equations to process: 3944
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 786
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1082] multiplication(multiplication(A,c(B)),multiplication(B,C)) -> zero
% 23.62/23.82  Rule
% 23.62/23.82  [681]
% 23.62/23.82  multiplication(multiplication(A,c(c(B))),multiplication(c(B),C)) -> zero
% 23.62/23.82  collapsed.
% 23.62/23.82  Current number of equations to process: 3982
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 786
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1083]
% 23.62/23.82  multiplication(multiplication(A,multiplication(B,codomain(C))),multiplication(
% 23.62/23.82                                                                 coantidomain(C),X0))
% 23.62/23.82  -> zero
% 23.62/23.82  Current number of equations to process: 4107
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 787
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1084]
% 23.62/23.82  multiplication(multiplication(A,codomain(B)),multiplication(multiplication(
% 23.62/23.82                                                              coantidomain(B),C),X0))
% 23.62/23.82  -> zero
% 23.62/23.82  Current number of equations to process: 4106
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 788
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1085] ifeq2(one,c(c(A)),leq(antidomain(A),c(c(A))),true) -> true
% 23.62/23.82  Current number of equations to process: 4105
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 789
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1086]
% 23.62/23.82  c(c(multiplication(A,B))) addition antidomain(multiplication(A,c(c(B)))) ->
% 23.62/23.82  one
% 23.62/23.82  Current number of equations to process: 4104
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 790
% 23.62/23.82  New rule produced : [1087] ifeq2(one,c(c(A)),leq(c(A),c(c(A))),true) -> true
% 23.62/23.82  Current number of equations to process: 4191
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 791
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1088]
% 23.62/23.82  backward_diamond(multiplication(multiplication(codomain(C),A),B),C) ->
% 23.62/23.82  backward_diamond(multiplication(A,B),C)
% 23.62/23.82  Current number of equations to process: 4202
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 792
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1089]
% 23.62/23.82  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 23.62/23.82                                                                     c(
% 23.62/23.82                                                                     c(C)))) ->
% 23.62/23.82  zero
% 23.62/23.82  Current number of equations to process: 4218
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 793
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1090]
% 23.62/23.82  leq(multiplication(coantidomain(A),antidomain(B)) addition C,one addition C)
% 23.62/23.82  -> true
% 23.62/23.82  Current number of equations to process: 4297
% 23.62/23.82  Current number of ordered equations: 1
% 23.62/23.82  Current number of rules: 794
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1091]
% 23.62/23.82  leq(multiplication(codomain(A),antidomain(B)) addition C,one addition C) ->
% 23.62/23.82  true
% 23.62/23.82  Current number of equations to process: 4297
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 795
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1092]
% 23.62/23.82  leq(multiplication(antidomain(A),antidomain(B)) addition C,one addition C) ->
% 23.62/23.82  true
% 23.62/23.82  Current number of equations to process: 4296
% 23.62/23.82  Current number of ordered equations: 0
% 23.62/23.82  Current number of rules: 796
% 23.62/23.82  New rule produced :
% 23.62/23.82  [1093]
% 23.62/23.82  leq(multiplication(c(A),antidomain(B)) addition C,one addition C) -> true
% 23.62/23.82  Current number of equations to process: 4408
% 23.62/23.82  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 797
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1094]
% 34.18/34.41  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 34.18/34.41                                                             c(c(C))))),B),C)
% 34.18/34.41  -> zero
% 34.18/34.41  Current number of equations to process: 4468
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 798
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1095]
% 34.18/34.41  leq(multiplication(coantidomain(A),codomain(B)) addition C,one addition C) ->
% 34.18/34.41  true
% 34.18/34.41  Current number of equations to process: 4547
% 34.18/34.41  Current number of ordered equations: 1
% 34.18/34.41  Current number of rules: 799
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1096]
% 34.18/34.41  leq(multiplication(codomain(A),codomain(B)) addition C,one addition C) ->
% 34.18/34.41  true
% 34.18/34.41  Current number of equations to process: 4547
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 800
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1097]
% 34.18/34.41  leq(multiplication(antidomain(A),codomain(B)) addition C,one addition C) ->
% 34.18/34.41  true
% 34.18/34.41  Current number of equations to process: 4546
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 801
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1098]
% 34.18/34.41  leq(multiplication(c(A),codomain(B)) addition C,one addition C) -> true
% 34.18/34.41  Current number of equations to process: 4655
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 802
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1099]
% 34.18/34.41  leq(multiplication(coantidomain(A),coantidomain(B)) addition C,one addition C)
% 34.18/34.41  -> true
% 34.18/34.41  Current number of equations to process: 4793
% 34.18/34.41  Current number of ordered equations: 1
% 34.18/34.41  Current number of rules: 803
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1100]
% 34.18/34.41  leq(multiplication(codomain(A),coantidomain(B)) addition C,one addition C) ->
% 34.18/34.41  true
% 34.18/34.41  Current number of equations to process: 4793
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 804
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1101]
% 34.18/34.41  leq(multiplication(antidomain(A),coantidomain(B)) addition C,one addition C)
% 34.18/34.41  -> true
% 34.18/34.41  Current number of equations to process: 4792
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 805
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1102]
% 34.18/34.41  leq(multiplication(c(A),coantidomain(B)) addition C,one addition C) -> true
% 34.18/34.41  Current number of equations to process: 4904
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 806
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1103]
% 34.18/34.41  leq(multiplication(antidomain(A),c(B)) addition C,one addition C) -> true
% 34.18/34.41  Current number of equations to process: 1979
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 807
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1104]
% 34.18/34.41  leq(multiplication(codomain(A),c(B)) addition C,one addition C) -> true
% 34.18/34.41  Current number of equations to process: 2232
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 808
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1105]
% 34.18/34.41  leq(multiplication(coantidomain(A),c(B)) addition C,one addition C) -> true
% 34.18/34.41  Current number of equations to process: 2482
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 809
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1106]
% 34.18/34.41  multiplication(multiplication(A,B),multiplication(coantidomain(backward_diamond(B,A)),C))
% 34.18/34.41  -> zero
% 34.18/34.41  Current number of equations to process: 2611
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 810
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1107]
% 34.18/34.41  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(
% 34.18/34.41                                                              backward_diamond(B,A)),C))
% 34.18/34.41  -> zero
% 34.18/34.41  Current number of equations to process: 2618
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 811
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1108]
% 34.18/34.41  multiplication(multiplication(A,codomain(B)),multiplication(C,coantidomain(
% 34.18/34.41                                                                backward_diamond(C,B))))
% 34.18/34.41  -> zero
% 34.18/34.41  Current number of equations to process: 2696
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 812
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1109]
% 34.18/34.41  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 34.18/34.41                                                                 backward_diamond(C,B)))
% 34.18/34.41  -> zero
% 34.18/34.41  Current number of equations to process: 2926
% 34.18/34.41  Current number of ordered equations: 0
% 34.18/34.41  Current number of rules: 813
% 34.18/34.41  New rule produced :
% 34.18/34.41  [1110]
% 34.18/34.41  multiplication(c(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 34.18/34.41  -> zero
% 34.18/34.41  Current number of equations to process: 3325
% 34.18/34.41  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 814
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1111]
% 35.08/35.33  coantidomain(codomain(B) addition multiplication(codomain(B),A)) ->
% 35.08/35.33  coantidomain(backward_diamond(one addition A,B))
% 35.08/35.33  Current number of equations to process: 3373
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 815
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1112]
% 35.08/35.33  c(c(multiplication(A,antidomain(B)))) addition antidomain(multiplication(A,
% 35.08/35.33                                                            c(B))) -> one
% 35.08/35.33  Current number of equations to process: 3418
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 816
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1113]
% 35.08/35.33  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(B))) -> one
% 35.08/35.33  Current number of equations to process: 3416
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 817
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1114]
% 35.08/35.33  multiplication(A,multiplication(B,c(c(C)))) addition multiplication(A,B) ->
% 35.08/35.33  multiplication(A,B)
% 35.08/35.33  Current number of equations to process: 3413
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 818
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1115]
% 35.08/35.33  multiplication(multiplication(A,c(c(C))),B) addition multiplication(A,B) ->
% 35.08/35.33  multiplication(A,B)
% 35.08/35.33  Current number of equations to process: 3412
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 819
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1116]
% 35.08/35.33  multiplication(multiplication(c(c(A)),B),C) addition multiplication(B,C) ->
% 35.08/35.33  multiplication(B,C)
% 35.08/35.33  Current number of equations to process: 3401
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 820
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1117]
% 35.08/35.33  multiplication(A,multiplication(c(c(C)),B)) addition multiplication(A,B) ->
% 35.08/35.33  multiplication(A,B)
% 35.08/35.33  Current number of equations to process: 3400
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 821
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1118] ifeq2(one addition A,one,leq(c(B) addition A,one),true) -> true
% 35.08/35.33  Current number of equations to process: 3388
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 822
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1119] ifeq(leq(c(A) addition B,one),true,one addition B,one) -> one
% 35.08/35.33  Current number of equations to process: 3387
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 823
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1120]
% 35.08/35.33  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 35.08/35.33                                                                   c(c(C)))))
% 35.08/35.33  -> zero
% 35.08/35.33  Current number of equations to process: 3297
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 824
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1121]
% 35.08/35.33  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 35.08/35.33                                                             antidomain(C),X0))
% 35.08/35.33  -> zero
% 35.08/35.33  Current number of equations to process: 3296
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 825
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1122]
% 35.08/35.33  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 35.08/35.33                                                          antidomain(B),C),X0))
% 35.08/35.33  -> zero
% 35.08/35.33  Current number of equations to process: 3295
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 826
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1123]
% 35.08/35.33  multiplication(multiplication(A,forward_diamond(B,antidomain(C))),antidomain(
% 35.08/35.33                                                                    multiplication(B,
% 35.08/35.33                                                                    c(C)))) ->
% 35.08/35.33  zero
% 35.08/35.33  Current number of equations to process: 3294
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 827
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1124]
% 35.08/35.33  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 35.08/35.33                                                                c(c(B)))),C))
% 35.08/35.33  -> zero
% 35.08/35.33  Current number of equations to process: 3293
% 35.08/35.33  Current number of ordered equations: 0
% 35.08/35.33  Current number of rules: 828
% 35.08/35.33  New rule produced :
% 35.08/35.33  [1125]
% 35.08/35.33  multiplication(forward_diamond(A,antidomain(B)),multiplication(antidomain(
% 35.08/35.33                                                                 multiplication(A,
% 35.08/35.33                                                                 c(B))),C)) ->
% 35.08/35.33  zero
% 35.08/35.33  Current number of equations to process: 3291
% 35.08/35.33  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 829
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1126]
% 35.27/35.48  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(B)))) ->
% 35.27/35.48  zero
% 35.27/35.48  Current number of equations to process: 3290
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 830
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1127]
% 35.27/35.48  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 35.27/35.48                                                          c(c(C)),X0)) -> zero
% 35.27/35.48  Current number of equations to process: 3287
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 831
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1128]
% 35.27/35.48  multiplication(multiplication(A,c(B)),multiplication(multiplication(c(c(B)),C),X0))
% 35.27/35.48  -> zero
% 35.27/35.48  Current number of equations to process: 3286
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 832
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1129]
% 35.27/35.48  multiplication(A,forward_diamond(B,C)) addition multiplication(A,antidomain(
% 35.27/35.48                                                                   forward_diamond(B,C)))
% 35.27/35.48  -> A
% 35.27/35.48  Current number of equations to process: 3284
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 833
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1130]
% 35.27/35.48  multiplication(forward_diamond(B,C),A) addition multiplication(antidomain(
% 35.27/35.48                                                                 forward_diamond(B,C)),A)
% 35.27/35.48  -> A
% 35.27/35.48  Current number of equations to process: 3283
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 834
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1131]
% 35.27/35.48  leq(multiplication(A,c(B)) addition C,A addition C addition X0) -> true
% 35.27/35.48  Current number of equations to process: 3281
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 835
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1132]
% 35.27/35.48  multiplication(A,backward_diamond(B,C)) addition multiplication(A,coantidomain(
% 35.27/35.48                                                                    backward_diamond(B,C)))
% 35.27/35.48  -> A
% 35.27/35.48  Current number of equations to process: 3280
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 836
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1133]
% 35.27/35.48  multiplication(backward_diamond(B,C),A) addition multiplication(coantidomain(
% 35.27/35.48                                                                  backward_diamond(B,C)),A)
% 35.27/35.48  -> A
% 35.27/35.48  Current number of equations to process: 3279
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 837
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1134]
% 35.27/35.48  multiplication(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 35.27/35.48                                                                      coantidomain(C),X0),X1))
% 35.27/35.48  -> zero
% 35.27/35.48  Current number of equations to process: 3278
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 838
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1135]
% 35.27/35.48  multiplication(multiplication(A,B),multiplication(multiplication(multiplication(
% 35.27/35.48                                                                   coantidomain(B),C),X0),X1))
% 35.27/35.48  -> zero
% 35.27/35.48  Current number of equations to process: 3277
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 839
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1136]
% 35.27/35.48  multiplication(multiplication(A,multiplication(B,multiplication(C,X0))),
% 35.27/35.48  multiplication(coantidomain(X0),X1)) -> zero
% 35.27/35.48  Current number of equations to process: 3275
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 840
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1137]
% 35.27/35.48  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(
% 35.27/35.48                                                                   multiplication(C,X0),X1))
% 35.27/35.48  -> zero
% 35.27/35.48  Current number of equations to process: 3268
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 841
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1138]
% 35.27/35.48  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(
% 35.27/35.48                                                                multiplication(B,C),X0),X1))
% 35.27/35.48  -> zero
% 35.27/35.48  Current number of equations to process: 3267
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 842
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1139]
% 35.27/35.48  multiplication(multiplication(A,multiplication(B,multiplication(C,antidomain(X0)))),
% 35.27/35.48  multiplication(X0,X1)) -> zero
% 35.27/35.48  Current number of equations to process: 3265
% 35.27/35.48  Current number of ordered equations: 0
% 35.27/35.48  Current number of rules: 843
% 35.27/35.48  New rule produced :
% 35.27/35.48  [1140]
% 35.27/35.48  multiplication(multiplication(multiplication(A,B),C),codomain(multiplication(B,C)))
% 35.37/35.63  -> multiplication(multiplication(A,B),C)
% 35.37/35.63  Current number of equations to process: 3258
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 844
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1141]
% 35.37/35.63  multiplication(multiplication(A,B),multiplication(multiplication(C,coantidomain(
% 35.37/35.63                                                                     multiplication(B,C))),X0))
% 35.37/35.63  -> zero
% 35.37/35.63  Current number of equations to process: 3257
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 845
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1142]
% 35.37/35.63  multiplication(multiplication(A,multiplication(antidomain(multiplication(B,C)),B)),
% 35.37/35.63  multiplication(C,X0)) -> zero
% 35.37/35.63  Current number of equations to process: 3256
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 846
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1143]
% 35.37/35.63  leq(forward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3255
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 847
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1144]
% 35.37/35.63  leq(backward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3254
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 848
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1145]
% 35.37/35.63  leq(forward_diamond(A,B) addition codomain(C) addition X0,one addition X0) ->
% 35.37/35.63  true
% 35.37/35.63  Current number of equations to process: 3253
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 849
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1146]
% 35.37/35.63  leq(backward_diamond(A,B) addition codomain(C) addition X0,one addition X0)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3252
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 850
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1147]
% 35.37/35.63  leq(forward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3251
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 851
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1148]
% 35.37/35.63  leq(backward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3250
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 852
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1149]
% 35.37/35.63  leq(forward_diamond(A,B) addition c(C) addition X0,one addition X0) -> true
% 35.37/35.63  Current number of equations to process: 3249
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 853
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1150]
% 35.37/35.63  leq(backward_diamond(A,B) addition c(C) addition X0,one addition X0) -> true
% 35.37/35.63  Current number of equations to process: 3248
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 854
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1151]
% 35.37/35.63  leq(forward_diamond(A,B) addition multiplication(C,codomain(X0)),one addition C)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3239
% 35.37/35.63  Current number of ordered equations: 1
% 35.37/35.63  Current number of rules: 855
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1152]
% 35.37/35.63  leq(forward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 35.37/35.63  one addition C) -> true
% 35.37/35.63  Current number of equations to process: 3239
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 856
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1153]
% 35.37/35.63  leq(forward_diamond(A,B) addition multiplication(codomain(C),X0),one addition X0)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3237
% 35.37/35.63  Current number of ordered equations: 1
% 35.37/35.63  Current number of rules: 857
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1154]
% 35.37/35.63  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 35.37/35.63  one addition X0) -> true
% 35.37/35.63  Current number of equations to process: 3237
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 858
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1155]
% 35.37/35.63  leq(forward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3235
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 859
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1156]
% 35.37/35.63  leq(forward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3234
% 35.37/35.63  Current number of ordered equations: 0
% 35.37/35.63  Current number of rules: 860
% 35.37/35.63  New rule produced :
% 35.37/35.63  [1157]
% 35.37/35.63  leq(backward_diamond(A,B) addition multiplication(C,codomain(X0)),one addition C)
% 35.37/35.63  -> true
% 35.37/35.63  Current number of equations to process: 3222
% 35.62/35.84  Current number of ordered equations: 1
% 35.62/35.84  Current number of rules: 861
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1158]
% 35.62/35.84  leq(backward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 35.62/35.84  one addition C) -> true
% 35.62/35.84  Current number of equations to process: 3222
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 862
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1159]
% 35.62/35.84  leq(backward_diamond(A,B) addition multiplication(codomain(C),X0),one addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3220
% 35.62/35.84  Current number of ordered equations: 1
% 35.62/35.84  Current number of rules: 863
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1160]
% 35.62/35.84  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 35.62/35.84  one addition X0) -> true
% 35.62/35.84  Current number of equations to process: 3220
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 864
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1161]
% 35.62/35.84  leq(backward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3218
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 865
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1162]
% 35.62/35.84  leq(backward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3217
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 866
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1163]
% 35.62/35.84  forward_diamond(multiplication(A,antidomain(forward_diamond(B,antidomain(C)))),
% 35.62/35.84  multiplication(B,c(C))) -> zero
% 35.62/35.84  Current number of equations to process: 3212
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 867
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1164]
% 35.62/35.84  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B) addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3211
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 868
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1165]
% 35.62/35.84  multiplication(multiplication(A,B),multiplication(C,codomain(multiplication(B,C))))
% 35.62/35.84  -> multiplication(A,multiplication(B,C))
% 35.62/35.84  Current number of equations to process: 3210
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 869
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1166]
% 35.62/35.84  leq(multiplication(A,multiplication(B,codomain(C))),multiplication(A,B) addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3205
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 870
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1167]
% 35.62/35.84  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B) addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3203
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 871
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1168]
% 35.62/35.84  multiplication(multiplication(multiplication(A,antidomain(coantidomain(B))),C),
% 35.62/35.84  coantidomain(backward_diamond(C,B))) -> zero
% 35.62/35.84  Current number of equations to process: 3202
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 872
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1169]
% 35.62/35.84  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C) addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3201
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 873
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1170]
% 35.62/35.84  leq(multiplication(multiplication(codomain(A),B),C),multiplication(B,C) addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3200
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 874
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1171]
% 35.62/35.84  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C) addition X0)
% 35.62/35.84  -> true
% 35.62/35.84  Current number of equations to process: 3198
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 875
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1172]
% 35.62/35.84  multiplication(multiplication(A,antidomain(coantidomain(B))),multiplication(C,
% 35.62/35.84                                                               coantidomain(
% 35.62/35.84                                                               backward_diamond(C,B))))
% 35.62/35.84  -> zero
% 35.62/35.84  Current number of equations to process: 3196
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 876
% 35.62/35.84  New rule produced :
% 35.62/35.84  [1173]
% 35.62/35.84  leq(antidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 35.62/35.84  one addition X0) -> true
% 35.62/35.84  Current number of equations to process: 3195
% 35.62/35.84  Current number of ordered equations: 0
% 35.62/35.84  Current number of rules: 877
% 35.62/35.84  New rule produced :
% 35.87/36.09  [1174]
% 35.87/36.09  leq(codomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 35.87/36.09  one addition X0) -> true
% 35.87/36.09  Current number of equations to process: 3194
% 35.87/36.09  Current number of ordered equations: 0
% 35.87/36.09  Current number of rules: 878
% 35.87/36.09  New rule produced :
% 35.87/36.09  [1175]
% 35.87/36.09  leq(coantidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 35.87/36.09  one addition X0) -> true
% 35.87/36.09  Current number of equations to process: 3193
% 35.87/36.09  Current number of ordered equations: 0
% 35.87/36.09  Current number of rules: 879
% 35.87/36.09  New rule produced :
% 35.87/36.09  [1176]
% 35.87/36.09  leq(c(A) addition multiplication(antidomain(B),coantidomain(C)),one addition X0)
% 35.87/36.09  -> true
% 35.87/36.09  Current number of equations to process: 3192
% 35.87/36.09  Current number of ordered equations: 0
% 35.87/36.09  Current number of rules: 880
% 35.87/36.09  New rule produced :
% 35.87/36.09  [1177]
% 35.87/36.09  leq(antidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 35.87/36.09  one addition X0) -> true
% 35.87/36.09  Current number of equations to process: 3189
% 35.87/36.09  Current number of ordered equations: 0
% 35.87/36.09  Current number of rules: 881
% 35.87/36.09  New rule produced :
% 35.87/36.09  [1178]
% 35.87/36.09  leq(codomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3188
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 882
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1179]
% 35.87/36.10  leq(coantidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3187
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 883
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1180]
% 35.87/36.10  leq(c(A) addition multiplication(coantidomain(B),antidomain(C)),one addition X0)
% 35.87/36.10  -> true
% 35.87/36.10  Current number of equations to process: 3186
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 884
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1181]
% 35.87/36.10  leq(antidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3183
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 885
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1182]
% 35.87/36.10  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3182
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 886
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1183]
% 35.87/36.10  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3181
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 887
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1184]
% 35.87/36.10  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one addition X0)
% 35.87/36.10  -> true
% 35.87/36.10  Current number of equations to process: 3180
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 888
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1185]
% 35.87/36.10  leq(antidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3177
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 889
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1186]
% 35.87/36.10  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3176
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 890
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1187]
% 35.87/36.10  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3175
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 891
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1188]
% 35.87/36.10  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one addition X0)
% 35.87/36.10  -> true
% 35.87/36.10  Current number of equations to process: 3174
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 892
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1189]
% 35.87/36.10  leq(antidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3165
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 893
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1190]
% 35.87/36.10  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 35.87/36.10  one addition X0) -> true
% 35.87/36.10  Current number of equations to process: 3164
% 35.87/36.10  Current number of ordered equations: 0
% 35.87/36.10  Current number of rules: 894
% 35.87/36.10  New rule produced :
% 35.87/36.10  [1191]
% 35.87/36.10  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 36.16/36.36  one addition X0) -> true
% 36.16/36.36  Current number of equations to process: 3163
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 895
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1192]
% 36.16/36.36  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one addition X0)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3162
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 896
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1193]
% 36.16/36.36  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 36.16/36.36  multiplication(backward_diamond(B,C),X0)) -> zero
% 36.16/36.36  Current number of equations to process: 3159
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 897
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1194]
% 36.16/36.36  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 36.16/36.36                                                             c(C),X0)) -> zero
% 36.16/36.36  Current number of equations to process: 3149
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 898
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1195]
% 36.16/36.36  multiplication(antidomain(multiplication(A,multiplication(B,C))),multiplication(
% 36.16/36.36                                                                   multiplication(A,B),C))
% 36.16/36.36  -> zero
% 36.16/36.36  Current number of equations to process: 3139
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 899
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1196]
% 36.16/36.36  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 36.16/36.36                                                          c(B),C),X0)) -> zero
% 36.16/36.36  Current number of equations to process: 3129
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 900
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1197]
% 36.16/36.36  leq(antidomain(A) addition multiplication(B,antidomain(C)),c(A) addition B)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3121
% 36.16/36.36  Current number of ordered equations: 1
% 36.16/36.36  Current number of rules: 901
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1198]
% 36.16/36.36  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(A) addition C)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3121
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 902
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1199]
% 36.16/36.36  leq(multiplication(forward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3119
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 903
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1200]
% 36.16/36.36  leq(multiplication(backward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3117
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 904
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1201]
% 36.16/36.36  leq(antidomain(A) addition multiplication(B,codomain(C)),c(A) addition B) ->
% 36.16/36.36  true
% 36.16/36.36  Current number of equations to process: 3111
% 36.16/36.36  Current number of ordered equations: 1
% 36.16/36.36  Current number of rules: 905
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1202]
% 36.16/36.36  leq(multiplication(antidomain(A),codomain(B)) addition C,c(A) addition C) ->
% 36.16/36.36  true
% 36.16/36.36  Current number of equations to process: 3111
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 906
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1203]
% 36.16/36.36  leq(multiplication(forward_diamond(A,B),codomain(C)) addition X0,one addition X0)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3109
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 907
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1204]
% 36.16/36.36  leq(multiplication(backward_diamond(A,B),codomain(C)) addition X0,one addition X0)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3107
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 908
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1205]
% 36.16/36.36  leq(antidomain(A) addition multiplication(B,coantidomain(C)),c(A) addition B)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3101
% 36.16/36.36  Current number of ordered equations: 1
% 36.16/36.36  Current number of rules: 909
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1206]
% 36.16/36.36  leq(multiplication(antidomain(A),coantidomain(B)) addition C,c(A) addition C)
% 36.16/36.36  -> true
% 36.16/36.36  Current number of equations to process: 3101
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 910
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1207]
% 36.16/36.36  leq(multiplication(forward_diamond(A,B),coantidomain(C)) addition X0,
% 36.16/36.36  one addition X0) -> true
% 36.16/36.36  Current number of equations to process: 3099
% 36.16/36.36  Current number of ordered equations: 0
% 36.16/36.36  Current number of rules: 911
% 36.16/36.36  New rule produced :
% 36.16/36.36  [1208]
% 36.16/36.36  leq(multiplication(backward_diamond(A,B),coantidomain(C)) addition X0,
% 36.43/36.61  one addition X0) -> true
% 36.43/36.61  Current number of equations to process: 3097
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 912
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1209]
% 36.43/36.61  leq(antidomain(A) addition multiplication(antidomain(B),C),c(A) addition C)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3091
% 36.43/36.61  Current number of ordered equations: 1
% 36.43/36.61  Current number of rules: 913
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1210]
% 36.43/36.61  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(B) addition C)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3091
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 914
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1211]
% 36.43/36.61  leq(multiplication(antidomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3089
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 915
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1212]
% 36.43/36.61  leq(multiplication(antidomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3087
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 916
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1213]
% 36.43/36.61  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B addition C)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3082
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 917
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1214]
% 36.43/36.61  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B addition C)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3081
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 918
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1215]
% 36.43/36.61  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B addition C)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3080
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 919
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1216]
% 36.43/36.61  leq(antidomain(A) addition multiplication(codomain(B),C),c(A) addition C) ->
% 36.43/36.61  true
% 36.43/36.61  Current number of equations to process: 3078
% 36.43/36.61  Current number of ordered equations: 1
% 36.43/36.61  Current number of rules: 920
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1217]
% 36.43/36.61  leq(multiplication(codomain(A),antidomain(B)) addition C,c(B) addition C) ->
% 36.43/36.61  true
% 36.43/36.61  Current number of equations to process: 3078
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 921
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1218]
% 36.43/36.61  leq(multiplication(codomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3076
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 922
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1219]
% 36.43/36.61  leq(multiplication(codomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3074
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 923
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1220]
% 36.43/36.61  leq(antidomain(A) addition multiplication(coantidomain(B),C),c(A) addition C)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3068
% 36.43/36.61  Current number of ordered equations: 1
% 36.43/36.61  Current number of rules: 924
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1221]
% 36.43/36.61  leq(multiplication(coantidomain(A),antidomain(B)) addition C,c(B) addition C)
% 36.43/36.61  -> true
% 36.43/36.61  Current number of equations to process: 3068
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 925
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1222]
% 36.43/36.61  leq(multiplication(coantidomain(A),forward_diamond(B,C)) addition X0,
% 36.43/36.61  one addition X0) -> true
% 36.43/36.61  Current number of equations to process: 3066
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 926
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1223]
% 36.43/36.61  leq(multiplication(coantidomain(A),backward_diamond(B,C)) addition X0,
% 36.43/36.61  one addition X0) -> true
% 36.43/36.61  Current number of equations to process: 3064
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 927
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1224]
% 36.43/36.61  multiplication(multiplication(c(A),B),multiplication(coantidomain(multiplication(
% 36.43/36.61                                                                    antidomain(A),B)),C))
% 36.43/36.61  -> zero
% 36.43/36.61  Current number of equations to process: 3056
% 36.43/36.61  Current number of ordered equations: 0
% 36.43/36.61  Current number of rules: 928
% 36.43/36.61  New rule produced :
% 36.43/36.61  [1225]
% 36.43/36.61  multiplication(multiplication(antidomain(coantidomain(A)),B),multiplication(
% 36.43/36.61                                                               coantidomain(
% 37.07/37.26                                                               backward_diamond(B,A)),C))
% 37.07/37.26  -> zero
% 37.07/37.26  Current number of equations to process: 3055
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 929
% 37.07/37.26  New rule produced :
% 37.07/37.26  [1226]
% 37.07/37.26  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 37.07/37.26                                                                     backward_diamond(C,B)),X0)))
% 37.07/37.26  -> zero
% 37.07/37.26  Current number of equations to process: 3054
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 930
% 37.07/37.26  New rule produced :
% 37.07/37.26  [1227]
% 37.07/37.26  multiplication(multiplication(A,c(B)),multiplication(C,coantidomain(multiplication(
% 37.07/37.26                                                                      antidomain(B),C))))
% 37.07/37.26  -> zero
% 37.07/37.26  Current number of equations to process: 3051
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 931
% 37.07/37.26  New rule produced :
% 37.07/37.26  [1228]
% 37.07/37.26  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 37.07/37.26                                                       coantidomain(backward_diamond(X0,C))))
% 37.07/37.26  -> zero
% 37.07/37.26  Current number of equations to process: 3049
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 932
% 37.07/37.26  New rule produced :
% 37.07/37.26  [1229]
% 37.07/37.26  multiplication(multiplication(multiplication(A,c(B)),C),coantidomain(
% 37.07/37.26                                                          multiplication(
% 37.07/37.26                                                          antidomain(B),C))) ->
% 37.07/37.26  zero
% 37.07/37.26  Current number of equations to process: 3041
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 933
% 37.07/37.26  New rule produced :
% 37.07/37.26  [1230]
% 37.07/37.26  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 37.07/37.26  coantidomain(backward_diamond(X0,C))) -> zero
% 37.07/37.26  Current number of equations to process: 3039
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 934
% 37.07/37.26  New rule produced :
% 37.07/37.26  [1231]
% 37.07/37.26  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 37.07/37.26                                                                      backward_diamond(C,B)),X0))
% 37.07/37.26  -> zero
% 37.07/37.26  Current number of equations to process: 3028
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 935
% 37.07/37.26  New rule produced : [1232] c(c(forward_diamond(A,B))) -> forward_diamond(A,B)
% 37.07/37.26  Rule [647] c(c(forward_diamond(X0,c(c(X1))))) -> forward_diamond(X0,X1)
% 37.07/37.26  collapsed.
% 37.07/37.26  Rule
% 37.07/37.26  [665]
% 37.07/37.26  c(c(forward_diamond(A,antidomain(B)))) -> forward_diamond(A,antidomain(B))
% 37.07/37.26  collapsed.
% 37.07/37.26  Rule
% 37.07/37.26  [688]
% 37.07/37.26  c(c(forward_diamond(A,multiplication(B,c(c(C)))))) ->
% 37.07/37.26  forward_diamond(A,multiplication(B,c(c(C)))) collapsed.
% 37.07/37.26  Rule
% 37.07/37.26  [730]
% 37.07/37.26  c(c(forward_diamond(multiplication(A,B),C))) ->
% 37.07/37.26  forward_diamond(multiplication(A,B),C) collapsed.
% 37.07/37.26  Current number of equations to process: 3072
% 37.07/37.26  Current number of ordered equations: 0
% 37.07/37.26  Current number of rules: 932
% 37.07/37.26  New rule produced :
% 37.07/37.26  [1233] forward_diamond(X0,c(c(X1))) -> forward_diamond(X0,X1)
% 37.07/37.26  Rule [655] forward_diamond(c(A),c(c(A))) -> zero collapsed.
% 37.07/37.26  Rule
% 37.07/37.26  [664]
% 37.07/37.26  antidomain(forward_diamond(A,c(c(B)))) -> antidomain(forward_diamond(A,B))
% 37.07/37.26  collapsed.
% 37.07/37.26  The conjecture has been reduced. 
% 37.07/37.26  Conjecture is now:
% 37.07/37.26  c(backward_diamond(sK1_goals_X1,c(forward_diamond(sK1_goals_X1,sK2_goals_X0)))) addition 
% 37.07/37.27  c(c(sK2_goals_X0)) = c(backward_diamond(sK1_goals_X1,c(forward_diamond(sK1_goals_X1,sK2_goals_X0))))
% 37.07/37.27  
% 37.07/37.27  Current number of equations to process: 3071
% 37.07/37.27  Current number of ordered equations: 0
% 37.07/37.27  Current number of rules: 931
% 37.07/37.27  New rule produced : [1234] forward_diamond(antidomain(A),A) -> zero
% 37.07/37.27  Current number of equations to process: 3072
% 37.07/37.27  Current number of ordered equations: 0
% 37.07/37.27  Current number of rules: 932
% 37.07/37.27  New rule produced :
% 37.07/37.27  [1235] forward_diamond(antidomain(B) addition A,B) -> forward_diamond(A,B)
% 37.07/37.27  Current number of equations to process: 3078
% 37.07/37.27  Current number of ordered equations: 0
% 37.07/37.27  Current number of rules: 933
% 37.07/37.27  New rule produced :
% 37.07/37.27  [1236] forward_diamond(multiplication(c(A),antidomain(B)),A) -> zero
% 37.07/37.27  Current number of equations to process: 3077
% 37.07/37.27  Current number of ordered equations: 0
% 37.07/37.27  Current number of rules: 934
% 37.07/37.27  New rule produced :
% 37.07/37.27  [1237] forward_diamond(multiplication(c(A),codomain(B)),A) -> zero
% 37.07/37.27  Current number of equations to process: 3076
% 37.07/37.27  Current number of ordered equations: 0
% 37.07/37.27  Current number of rules: 935
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1238] forward_diamond(multiplication(c(A),coantidomain(B)),A) -> zero
% 37.98/38.16  Current number of equations to process: 3075
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 936
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1239]
% 37.98/38.16  forward_diamond(c(c(A)) addition B,antidomain(A)) ->
% 37.98/38.16  forward_diamond(B,antidomain(A))
% 37.98/38.16  Current number of equations to process: 3076
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 937
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1240]
% 37.98/38.16  forward_diamond(multiplication(c(B),antidomain(C)) addition A,B) ->
% 37.98/38.16  forward_diamond(A,B)
% 37.98/38.16  Current number of equations to process: 3078
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 938
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1241]
% 37.98/38.16  forward_diamond(multiplication(c(B),codomain(C)) addition A,B) ->
% 37.98/38.16  forward_diamond(A,B)
% 37.98/38.16  Current number of equations to process: 3077
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 939
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1242]
% 37.98/38.16  forward_diamond(multiplication(c(B),coantidomain(C)) addition A,B) ->
% 37.98/38.16  forward_diamond(A,B)
% 37.98/38.16  Current number of equations to process: 3076
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 940
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1243]
% 37.98/38.16  c(c(c(B) addition multiplication(A,c(B)))) ->
% 37.98/38.16  forward_diamond(one addition A,antidomain(B))
% 37.98/38.16  Current number of equations to process: 3081
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 941
% 37.98/38.16  New rule produced : [1244] antidomain(one addition A) -> zero
% 37.98/38.16  Current number of equations to process: 3112
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 942
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1245] multiplication(antidomain(A),multiplication(codomain(B),A)) -> zero
% 37.98/38.16  Current number of equations to process: 3126
% 37.98/38.16  Current number of ordered equations: 1
% 37.98/38.16  Current number of rules: 943
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1246]
% 37.98/38.16  multiplication(antidomain(A),multiplication(coantidomain(B),A)) -> zero
% 37.98/38.16  Current number of equations to process: 3126
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 944
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1247] multiplication(multiplication(A,antidomain(B addition C)),B) -> zero
% 37.98/38.16  Current number of equations to process: 3139
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 945
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1248] multiplication(antidomain(A addition B),multiplication(A,C)) -> zero
% 37.98/38.16  Current number of equations to process: 3138
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 946
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1249] multiplication(antidomain(A),multiplication(antidomain(B),A)) -> zero
% 37.98/38.16  Current number of equations to process: 3146
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 947
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1250] multiplication(antidomain(c(A) addition B),antidomain(A)) -> zero
% 37.98/38.16  Current number of equations to process: 3147
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 948
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1251]
% 37.98/38.16  codomain(A) addition antidomain(coantidomain(A) addition B) -> codomain(A)
% 37.98/38.16  Current number of equations to process: 3148
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 949
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1252]
% 37.98/38.16  multiplication(antidomain(A addition B),multiplication(coantidomain(C),A)) ->
% 37.98/38.16  zero
% 37.98/38.16  Current number of equations to process: 3154
% 37.98/38.16  Current number of ordered equations: 1
% 37.98/38.16  Current number of rules: 950
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1253]
% 37.98/38.16  multiplication(antidomain(A addition B),multiplication(codomain(C),A)) ->
% 37.98/38.16  zero
% 37.98/38.16  Current number of equations to process: 3154
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 951
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1254]
% 37.98/38.16  multiplication(antidomain(A addition B),multiplication(antidomain(C),A)) ->
% 37.98/38.16  zero
% 37.98/38.16  Current number of equations to process: 3153
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 952
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1255]
% 37.98/38.16  antidomain(forward_diamond(antidomain(c(A) addition B),antidomain(A))) -> one
% 37.98/38.16  Current number of equations to process: 3150
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 953
% 37.98/38.16  New rule produced : [1256] coantidomain(one addition A) -> zero
% 37.98/38.16  Current number of equations to process: 3150
% 37.98/38.16  Current number of ordered equations: 0
% 37.98/38.16  Current number of rules: 954
% 37.98/38.16  New rule produced :
% 37.98/38.16  [1257] backward_diamond(coantidomain(codomain(A) addition B),A) -> zero
% 38.68/38.88  Current number of equations to process: 3152
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 955
% 38.68/38.88  New rule produced : [1258] multiplication(A,codomain(A addition B)) -> A
% 38.68/38.88  Current number of equations to process: 3162
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 956
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1259] multiplication(multiplication(A,codomain(B)),coantidomain(A)) -> zero
% 38.68/38.88  Current number of equations to process: 3160
% 38.68/38.88  Current number of ordered equations: 1
% 38.68/38.88  Current number of rules: 957
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1260]
% 38.68/38.88  multiplication(multiplication(A,coantidomain(B)),coantidomain(A)) -> zero
% 38.68/38.88  Current number of equations to process: 3160
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 958
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1261] multiplication(multiplication(A,B),coantidomain(B addition C)) -> zero
% 38.68/38.88  Current number of equations to process: 3181
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 959
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1262] multiplication(A,multiplication(coantidomain(A addition B),C)) -> zero
% 38.68/38.88  Current number of equations to process: 3180
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 960
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1263] multiplication(antidomain(A),coantidomain(c(A))) -> zero
% 38.68/38.88  Current number of equations to process: 3190
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 961
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1264]
% 38.68/38.88  multiplication(multiplication(A,antidomain(B)),coantidomain(A)) -> zero
% 38.68/38.88  Current number of equations to process: 3189
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 962
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1265] multiplication(antidomain(A),coantidomain(c(A) addition B)) -> zero
% 38.68/38.88  Current number of equations to process: 3188
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 963
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1266]
% 38.68/38.88  codomain(A) addition coantidomain(coantidomain(A) addition B) -> codomain(A)
% 38.68/38.88  Current number of equations to process: 3196
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 964
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1267]
% 38.68/38.88  backward_diamond(multiplication(coantidomain(codomain(A) addition B),C),A) ->
% 38.68/38.88  zero
% 38.68/38.88  Current number of equations to process: 3215
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 965
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1268]
% 38.68/38.88  multiplication(multiplication(A,codomain(B)),coantidomain(A addition C)) ->
% 38.68/38.88  zero
% 38.68/38.88  Current number of equations to process: 3212
% 38.68/38.88  Current number of ordered equations: 1
% 38.68/38.88  Current number of rules: 966
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1269]
% 38.68/38.88  multiplication(multiplication(A,coantidomain(B)),coantidomain(A addition C))
% 38.68/38.88  -> zero
% 38.68/38.88  Current number of equations to process: 3212
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 967
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1270]
% 38.68/38.88  multiplication(multiplication(A,antidomain(B)),coantidomain(A addition C)) ->
% 38.68/38.88  zero
% 38.68/38.88  Current number of equations to process: 3209
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 968
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1271]
% 38.68/38.88  multiplication(antidomain(codomain(A) addition B),coantidomain(A)) ->
% 38.68/38.88  antidomain(codomain(A) addition B)
% 38.68/38.88  Current number of equations to process: 3211
% 38.68/38.88  Current number of ordered equations: 1
% 38.68/38.88  Current number of rules: 969
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1272]
% 38.68/38.88  multiplication(antidomain(coantidomain(A) addition B),codomain(A)) ->
% 38.68/38.88  antidomain(coantidomain(A) addition B)
% 38.68/38.88  Current number of equations to process: 3211
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 970
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1273]
% 38.68/38.88  multiplication(multiplication(A,antidomain(B addition C)),multiplication(B,X0))
% 38.68/38.88  -> zero
% 38.68/38.88  Current number of equations to process: 3210
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 971
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1274]
% 38.68/38.88  multiplication(antidomain(A addition B),multiplication(multiplication(A,C),X0))
% 38.68/38.88  -> zero
% 38.68/38.88  Current number of equations to process: 3208
% 38.68/38.88  Current number of ordered equations: 0
% 38.68/38.88  Current number of rules: 972
% 38.68/38.88  New rule produced :
% 38.68/38.88  [1275]
% 38.68/38.88  multiplication(codomain(A),coantidomain(coantidomain(A) addition B)) ->
% 38.68/38.88  coantidomain(coantidomain(A) addition B)
% 38.68/38.88  Current number of equations to process: 3194
% 38.68/38.88  Current number of ordered equations: 1
% 40.27/40.48  Current number of rules: 973
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1276]
% 40.27/40.48  multiplication(coantidomain(A),coantidomain(codomain(A) addition B)) ->
% 40.27/40.48  coantidomain(codomain(A) addition B)
% 40.27/40.48  Current number of equations to process: 3194
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 974
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1277]
% 40.27/40.48  multiplication(multiplication(A,B),multiplication(coantidomain(B addition C),X0))
% 40.27/40.48  -> zero
% 40.27/40.48  Current number of equations to process: 3193
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 975
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1278]
% 40.27/40.48  multiplication(multiplication(A,multiplication(B,C)),coantidomain(C addition X0))
% 40.27/40.48  -> zero
% 40.27/40.48  Current number of equations to process: 3189
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 976
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1279]
% 40.27/40.48  backward_diamond(coantidomain(codomain(B) addition C) addition A,B) ->
% 40.27/40.48  backward_diamond(A,B)
% 40.27/40.48  Current number of equations to process: 3183
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 977
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1280]
% 40.27/40.48  codomain(antidomain(A) addition B) addition antidomain(A) ->
% 40.27/40.48  codomain(antidomain(A) addition B)
% 40.27/40.48  Current number of equations to process: 3181
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 978
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1281]
% 40.27/40.48  codomain(codomain(A) addition B) addition codomain(A) ->
% 40.27/40.48  codomain(codomain(A) addition B)
% 40.27/40.48  Current number of equations to process: 3180
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 979
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1282]
% 40.27/40.48  codomain(coantidomain(A) addition B) addition coantidomain(A) ->
% 40.27/40.48  codomain(coantidomain(A) addition B)
% 40.27/40.48  Current number of equations to process: 3179
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 980
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1283] leq(multiplication(A,antidomain(B)),multiplication(A,c(B))) -> true
% 40.27/40.48  Current number of equations to process: 3201
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 981
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1284]
% 40.27/40.48  backward_diamond(coantidomain(backward_diamond(A,B) addition C),multiplication(
% 40.27/40.48                                                                  codomain(B),A))
% 40.27/40.48  -> zero
% 40.27/40.48  Current number of equations to process: 3227
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 982
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1285]
% 40.27/40.48  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A) addition C)),B)
% 40.27/40.48  -> zero
% 40.27/40.48  Current number of equations to process: 3226
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 983
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1286]
% 40.27/40.48  backward_diamond(multiplication(multiplication(coantidomain(codomain(A) addition B),C),X0),A)
% 40.27/40.48  -> zero
% 40.27/40.48  Current number of equations to process: 3218
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 984
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1287]
% 40.27/40.48  leq(antidomain(multiplication(A,c(B))),antidomain(forward_diamond(A,antidomain(B))))
% 40.27/40.48  -> true
% 40.27/40.48  Current number of equations to process: 3217
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 985
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1288]
% 40.27/40.48  leq(multiplication(A,antidomain(B)),multiplication(A,c(B)) addition C) ->
% 40.27/40.48  true
% 40.27/40.48  Current number of equations to process: 3216
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 986
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1289] multiplication(antidomain(A),c(A)) -> antidomain(A)
% 40.27/40.48  Current number of equations to process: 3280
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 987
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1290]
% 40.27/40.48  multiplication(antidomain(multiplication(A,c(B))),multiplication(A,antidomain(B)))
% 40.27/40.48  -> zero
% 40.27/40.48  Current number of equations to process: 3372
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 988
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1291]
% 40.27/40.48  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 40.27/40.48                                                              c(B)))) -> zero
% 40.27/40.48  Current number of equations to process: 3371
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 989
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1292] leq(multiplication(antidomain(A),B),multiplication(c(A),B)) -> true
% 40.27/40.48  Current number of equations to process: 3388
% 40.27/40.48  Current number of ordered equations: 0
% 40.27/40.48  Current number of rules: 990
% 40.27/40.48  New rule produced :
% 40.27/40.48  [1293]
% 40.27/40.48  multiplication(antidomain(A),multiplication(coantidomain(c(A)),B)) -> zero
% 42.98/43.17  Current number of equations to process: 3396
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 991
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1294]
% 42.98/43.17  leq(multiplication(antidomain(A),B),multiplication(c(A),B) addition C) ->
% 42.98/43.17  true
% 42.98/43.17  Current number of equations to process: 3421
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 992
% 42.98/43.17  New rule produced : [1295] leq(multiplication(c(A),B),B) -> true
% 42.98/43.17  Rule [662] leq(multiplication(c(c(A)),B),B) -> true collapsed.
% 42.98/43.17  Current number of equations to process: 3491
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 992
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1296] leq(multiplication(c(A),B) addition C,B addition C) -> true
% 42.98/43.17  Rule [773] leq(multiplication(c(c(A)),B) addition C,B addition C) -> true
% 42.98/43.17  collapsed.
% 42.98/43.17  Current number of equations to process: 3494
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 992
% 42.98/43.17  New rule produced : [1297] leq(multiplication(c(A),B),B addition C) -> true
% 42.98/43.17  Rule [680] leq(multiplication(c(c(A)),B),B addition C) -> true collapsed.
% 42.98/43.17  Current number of equations to process: 3545
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 992
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1298]
% 42.98/43.17  multiplication(antidomain(multiplication(c(A),B)),multiplication(antidomain(A),B))
% 42.98/43.17  -> zero
% 42.98/43.17  Current number of equations to process: 3578
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 993
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1299]
% 42.98/43.17  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 42.98/43.17                                                              c(A),B))) -> zero
% 42.98/43.17  Current number of equations to process: 3577
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 994
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1300] leq(antidomain(A) addition antidomain(B),c(A) addition c(B)) -> true
% 42.98/43.17  Current number of equations to process: 3642
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 995
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1301]
% 42.98/43.17  leq(one,antidomain(multiplication(antidomain(antidomain(A) addition B),c(A))))
% 42.98/43.17  -> true
% 42.98/43.17  Current number of equations to process: 3695
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 996
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1302]
% 42.98/43.17  antidomain(multiplication(A,forward_diamond(coantidomain(A),B))) -> one
% 42.98/43.17  Current number of equations to process: 3696
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 997
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1303] antidomain(multiplication(antidomain(A),forward_diamond(A,B))) -> one
% 42.98/43.17  Current number of equations to process: 3697
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 998
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1304]
% 42.98/43.17  antidomain(multiplication(coantidomain(A),forward_diamond(codomain(A),B))) ->
% 42.98/43.17  one
% 42.98/43.17  Current number of equations to process: 3728
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 999
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1305]
% 42.98/43.17  antidomain(multiplication(multiplication(A,B),forward_diamond(coantidomain(B),C)))
% 42.98/43.17  -> one
% 42.98/43.17  Current number of equations to process: 3735
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 1000
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1306]
% 42.98/43.17  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(B,C)))
% 42.98/43.17  -> one
% 42.98/43.17  Current number of equations to process: 3734
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 1001
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1307]
% 42.98/43.17  antidomain(multiplication(A,forward_diamond(multiplication(coantidomain(A),B),C)))
% 42.98/43.17  -> one
% 42.98/43.17  Current number of equations to process: 3733
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 1002
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1308]
% 42.98/43.17  antidomain(multiplication(antidomain(A),forward_diamond(multiplication(A,B),C)))
% 42.98/43.17  -> one
% 42.98/43.17  Current number of equations to process: 3732
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 1003
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1309]
% 42.98/43.17  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 42.98/43.17                                                              codomain(B),C)))
% 42.98/43.17  -> one
% 42.98/43.17  Current number of equations to process: 3779
% 42.98/43.17  Current number of ordered equations: 0
% 42.98/43.17  Current number of rules: 1004
% 42.98/43.17  New rule produced :
% 42.98/43.17  [1310]
% 42.98/43.17  antidomain(multiplication(coantidomain(A),forward_diamond(multiplication(
% 43.73/43.91                                                            codomain(A),B),C)))
% 43.73/43.91  -> one
% 43.73/43.91  Current number of equations to process: 3778
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1005
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1311]
% 43.73/43.91  antidomain(multiplication(multiplication(A,B),forward_diamond(multiplication(
% 43.73/43.91                                                                coantidomain(B),C),X0)))
% 43.73/43.91  -> one
% 43.73/43.91  Current number of equations to process: 3793
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1006
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1312]
% 43.73/43.91  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(
% 43.73/43.91                                                            multiplication(B,C),X0)))
% 43.73/43.91  -> one
% 43.73/43.91  Current number of equations to process: 3792
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1007
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1313]
% 43.73/43.91  forward_diamond(A,B) addition antidomain(multiplication(A,forward_diamond(
% 43.73/43.91                                                            codomain(A),B))) ->
% 43.73/43.91  one
% 43.73/43.91  Current number of equations to process: 3841
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1008
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1314]
% 43.73/43.91  multiplication(multiplication(antidomain(multiplication(A,B) addition C),A),
% 43.73/43.91  multiplication(B,X0)) -> zero
% 43.73/43.91  Current number of equations to process: 3944
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1009
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1315]
% 43.73/43.91  multiplication(antidomain(multiplication(A,B) addition C),multiplication(A,
% 43.73/43.91                                                            multiplication(B,X0)))
% 43.73/43.91  -> zero
% 43.73/43.91  Current number of equations to process: 3942
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1010
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1316]
% 43.73/43.91  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C) addition X0)))
% 43.73/43.91  -> zero
% 43.73/43.91  Current number of equations to process: 3939
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1011
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1317]
% 43.73/43.91  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C) addition X0))
% 43.73/43.91  -> zero
% 43.73/43.91  Current number of equations to process: 3938
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1012
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1318]
% 43.73/43.91  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),multiplication(A,
% 43.73/43.91                                                                    c(B))) ->
% 43.73/43.91  true
% 43.73/43.91  Current number of equations to process: 3932
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1013
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1319]
% 43.73/43.91  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),multiplication(A,
% 43.73/43.91                                                                  c(B))) ->
% 43.73/43.91  true
% 43.73/43.91  Current number of equations to process: 3931
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1014
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1320]
% 43.73/43.91  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),multiplication(A,
% 43.73/43.91                                                                      c(B))) ->
% 43.73/43.91  true
% 43.73/43.91  Current number of equations to process: 3930
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1015
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1321]
% 43.73/43.91  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 43.73/43.91                                                                    c(C))) ->
% 43.73/43.91  true
% 43.73/43.91  Current number of equations to process: 3929
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1016
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1322]
% 43.73/43.91  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 43.73/43.91                                                                  c(C))) ->
% 43.73/43.91  true
% 43.73/43.91  Current number of equations to process: 3928
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1017
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1323]
% 43.73/43.91  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 43.73/43.91                                                                      c(C))) ->
% 43.73/43.91  true
% 43.73/43.91  Current number of equations to process: 3927
% 43.73/43.91  Current number of ordered equations: 0
% 43.73/43.91  Current number of rules: 1018
% 43.73/43.91  New rule produced :
% 43.73/43.91  [1324]
% 43.73/43.91  multiplication(antidomain(multiplication(A,c(B)) addition C),multiplication(A,
% 44.23/44.42                                                               antidomain(B)))
% 44.23/44.42  -> zero
% 44.23/44.42  Current number of equations to process: 3926
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1019
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1325]
% 44.23/44.42  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 44.23/44.42                                                              c(B)) addition C))
% 44.23/44.42  -> zero
% 44.23/44.42  Current number of equations to process: 3925
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1020
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1326]
% 44.23/44.42  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),multiplication(
% 44.23/44.42                                                                    c(A),B)) ->
% 44.23/44.42  true
% 44.23/44.42  Current number of equations to process: 3924
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1021
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1327]
% 44.23/44.42  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),multiplication(
% 44.23/44.42                                                                  c(A),B)) ->
% 44.23/44.42  true
% 44.23/44.42  Current number of equations to process: 3923
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1022
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1328]
% 44.23/44.42  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),multiplication(
% 44.23/44.42                                                                      c(A),B))
% 44.23/44.42  -> true
% 44.23/44.42  Current number of equations to process: 3922
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1023
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1329]
% 44.23/44.42  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),multiplication(
% 44.23/44.42                                                                    c(B),C)) ->
% 44.23/44.42  true
% 44.23/44.42  Current number of equations to process: 3921
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1024
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1330]
% 44.23/44.42  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),multiplication(
% 44.23/44.42                                                                  c(B),C)) ->
% 44.23/44.42  true
% 44.23/44.42  Current number of equations to process: 3920
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1025
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1331]
% 44.23/44.42  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),multiplication(
% 44.23/44.42                                                                      c(B),C))
% 44.23/44.42  -> true
% 44.23/44.42  Current number of equations to process: 3919
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1026
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1332]
% 44.23/44.42  leq(multiplication(c(A),B) addition C,B addition C addition X0) -> true
% 44.23/44.42  Current number of equations to process: 3918
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1027
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1333]
% 44.23/44.42  multiplication(antidomain(multiplication(c(A),B) addition C),multiplication(
% 44.23/44.42                                                               antidomain(A),B))
% 44.23/44.42  -> zero
% 44.23/44.42  Current number of equations to process: 3917
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1028
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1334]
% 44.23/44.42  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 44.23/44.42                                                              c(A),B) addition C))
% 44.23/44.42  -> zero
% 44.23/44.42  Current number of equations to process: 3916
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1029
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1335]
% 44.23/44.42  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 44.23/44.42                                                              multiplication(
% 44.23/44.42                                                              codomain(B),C),X0)))
% 44.23/44.42  -> one
% 44.23/44.42  Current number of equations to process: 3911
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1030
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1336]
% 44.23/44.42  antidomain(multiplication(antidomain(A addition B),forward_diamond(A,C))) ->
% 44.23/44.42  one
% 44.23/44.42  Current number of equations to process: 3920
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1031
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1337]
% 44.23/44.42  antidomain(multiplication(A,forward_diamond(coantidomain(A addition B),C)))
% 44.23/44.42  -> one
% 44.23/44.42  Current number of equations to process: 3919
% 44.23/44.42  Current number of ordered equations: 0
% 44.23/44.42  Current number of rules: 1032
% 44.23/44.42  New rule produced :
% 44.23/44.42  [1338]
% 44.23/44.42  codomain(multiplication(coantidomain(A),B)) ->
% 45.29/45.51  backward_diamond(B,coantidomain(A))
% 45.29/45.51  Current number of equations to process: 3922
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1033
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1339]
% 45.29/45.51  backward_diamond(coantidomain(B) addition A,B) -> backward_diamond(A,B)
% 45.29/45.51  Current number of equations to process: 3928
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1034
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1340]
% 45.29/45.51  backward_diamond(multiplication(multiplication(coantidomain(A),B),C),A) ->
% 45.29/45.51  zero
% 45.29/45.51  Current number of equations to process: 3930
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1035
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1341]
% 45.29/45.51  antidomain(multiplication(codomain(A),forward_diamond(coantidomain(A),B))) ->
% 45.29/45.51  one
% 45.29/45.51  Current number of equations to process: 3931
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1036
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1342]
% 45.29/45.51  backward_diamond(multiplication(codomain(A),B),coantidomain(A)) -> zero
% 45.29/45.51  Current number of equations to process: 3934
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1037
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1343] codomain(backward_diamond(A,B)) -> backward_diamond(A,B)
% 45.29/45.51  Rule
% 45.29/45.51  [870]
% 45.29/45.51  backward_diamond(codomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 45.29/45.51  -> codomain(backward_diamond(A,B)) collapsed.
% 45.29/45.51  Current number of equations to process: 3937
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1037
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1344]
% 45.29/45.51  backward_diamond(backward_diamond(A,B),multiplication(codomain(B),A)) ->
% 45.29/45.51  backward_diamond(A,B)
% 45.29/45.51  Current number of equations to process: 3939
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1038
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1345]
% 45.29/45.51  coantidomain(multiplication(coantidomain(A),B)) ->
% 45.29/45.51  coantidomain(backward_diamond(B,coantidomain(A)))
% 45.29/45.51  Rule
% 45.29/45.51  [992]
% 45.29/45.51  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 45.29/45.51                                                           multiplication(
% 45.29/45.51                                                           coantidomain(A),B)))
% 45.29/45.51  -> zero collapsed.
% 45.29/45.51  Current number of equations to process: 3948
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1038
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1346]
% 45.29/45.51  codomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 45.29/45.51  backward_diamond(multiplication(B,C),coantidomain(A))
% 45.29/45.51  Current number of equations to process: 3947
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1039
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1347]
% 45.29/45.51  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,antidomain(A))))
% 45.29/45.51  -> one
% 45.29/45.51  Current number of equations to process: 3952
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1040
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1348]
% 45.29/45.51  backward_diamond(coantidomain(backward_diamond(A,coantidomain(B))),multiplication(
% 45.29/45.51                                                                     coantidomain(B),A))
% 45.29/45.51  -> zero
% 45.29/45.51  Current number of equations to process: 3975
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1041
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1349]
% 45.29/45.51  backward_diamond(multiplication(multiplication(multiplication(coantidomain(A),B),C),X0),A)
% 45.29/45.51  -> zero
% 45.29/45.51  Current number of equations to process: 3974
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1042
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1350]
% 45.29/45.51  codomain(coantidomain(A) addition multiplication(coantidomain(A),B)) ->
% 45.29/45.51  backward_diamond(one addition B,coantidomain(A))
% 45.29/45.51  Current number of equations to process: 3993
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1043
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1351]
% 45.29/45.51  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 45.29/45.51                                                           backward_diamond(B,
% 45.29/45.51                                                           coantidomain(A))))
% 45.29/45.51  -> zero
% 45.29/45.51  Current number of equations to process: 3998
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1044
% 45.29/45.51  New rule produced :
% 45.29/45.51  [1352]
% 45.29/45.51  backward_diamond(multiplication(coantidomain(A),B) addition multiplication(
% 45.29/45.51                                                              coantidomain(A),C),A)
% 45.29/45.51  -> zero
% 45.29/45.51  Current number of equations to process: 3996
% 45.29/45.51  Current number of ordered equations: 0
% 45.29/45.51  Current number of rules: 1045
% 45.29/45.51  New rule produced :
% 46.09/46.29  [1353]
% 46.09/46.29  coantidomain(backward_diamond(codomain(A),multiplication(B,coantidomain(A))))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4014
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1046
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1354]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,A)))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4015
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1047
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1355]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(codomain(A),B),multiplication(C,
% 46.09/46.29                                                              coantidomain(A))))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4090
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1048
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1356]
% 46.09/46.29  coantidomain(backward_diamond(coantidomain(multiplication(A,B)),multiplication(
% 46.09/46.29                                                                  multiplication(C,A),B)))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4098
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1049
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1357]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),antidomain(
% 46.09/46.29                                                                      multiplication(A,B))))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4097
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1050
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1358]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(A,coantidomain(multiplication(B,A))),
% 46.09/46.29               multiplication(C,B))) -> one
% 46.09/46.29  Current number of equations to process: 4096
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1051
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1359]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 46.09/46.29                                                                  multiplication(X0,A))))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4095
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1052
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1360]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 46.09/46.29                                                                     antidomain(A)))))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4094
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1053
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1361]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(multiplication(coantidomain(A),B),C),
% 46.09/46.29               multiplication(X0,A))) -> one
% 46.09/46.29  Current number of equations to process: 4093
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1054
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1362]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(A,B),multiplication(antidomain(
% 46.09/46.29                                                                   multiplication(C,A)),C)))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4092
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1055
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1363]
% 46.09/46.29  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 46.09/46.29                                                                      antidomain(A))))
% 46.09/46.29  -> one
% 46.09/46.29  Current number of equations to process: 4091
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1056
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1364] coantidomain(backward_diamond(A,antidomain(A addition B))) -> one
% 46.09/46.29  Current number of equations to process: 4181
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1057
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1365] coantidomain(backward_diamond(coantidomain(A addition B),A)) -> one
% 46.09/46.29  Current number of equations to process: 4185
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1058
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1366]
% 46.09/46.29  multiplication(coantidomain(multiplication(A,B)),backward_diamond(B,A)) ->
% 46.09/46.29  zero
% 46.09/46.29  Current number of equations to process: 4184
% 46.09/46.29  Current number of ordered equations: 0
% 46.09/46.29  Current number of rules: 1059
% 46.09/46.29  New rule produced :
% 46.09/46.29  [1367]
% 46.09/46.29  multiplication(antidomain(coantidomain(backward_diamond(A,B))),coantidomain(
% 46.09/46.29                                                                 multiplication(B,A)))
% 46.09/46.29  -> zero
% 46.09/46.29  Current number of equations to process: 4182
% 46.09/46.29  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1060
% 47.92/48.11  New rule produced : [1368] backward_diamond(A,antidomain(A)) -> zero
% 47.92/48.11  Rule [417] coantidomain(backward_diamond(A,antidomain(A))) -> one collapsed.
% 47.92/48.11  Current number of equations to process: 4187
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1060
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1369] backward_diamond(coantidomain(A),multiplication(B,A)) -> zero
% 47.92/48.11  Rule
% 47.92/48.11  [420]
% 47.92/48.11  coantidomain(backward_diamond(coantidomain(B),multiplication(A,B))) -> one
% 47.92/48.11  collapsed.
% 47.92/48.11  Current number of equations to process: 4187
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1060
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1370] backward_diamond(A,multiplication(B,antidomain(A))) -> zero
% 47.92/48.11  Rule
% 47.92/48.11  [422]
% 47.92/48.11  coantidomain(backward_diamond(B,multiplication(A,antidomain(B)))) -> one
% 47.92/48.11  collapsed.
% 47.92/48.11  Current number of equations to process: 4195
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1060
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1371]
% 47.92/48.11  coantidomain(backward_diamond(coantidomain(A),multiplication(B,codomain(A))))
% 47.92/48.11  -> one
% 47.92/48.11  Current number of equations to process: 4194
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1061
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1372]
% 47.92/48.11  coantidomain(backward_diamond(antidomain(A),multiplication(B,c(c(A))))) ->
% 47.92/48.11  one
% 47.92/48.11  Current number of equations to process: 4193
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1062
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1373]
% 47.92/48.11  backward_diamond(multiplication(coantidomain(B),C) addition A,B) ->
% 47.92/48.11  backward_diamond(A,B)
% 47.92/48.11  Rule
% 47.92/48.11  [1352]
% 47.92/48.11  backward_diamond(multiplication(coantidomain(A),B) addition multiplication(
% 47.92/48.11                                                              coantidomain(A),C),A)
% 47.92/48.11  -> zero collapsed.
% 47.92/48.11  Current number of equations to process: 4194
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1062
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1374] backward_diamond(multiplication(A,B),antidomain(A)) -> zero
% 47.92/48.11  Rule
% 47.92/48.11  [424]
% 47.92/48.11  coantidomain(backward_diamond(multiplication(A,B),antidomain(A))) -> one
% 47.92/48.11  collapsed.
% 47.92/48.11  Current number of equations to process: 4199
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1062
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1375]
% 47.92/48.11  coantidomain(backward_diamond(multiplication(antidomain(A),B),c(c(A)))) ->
% 47.92/48.11  one
% 47.92/48.11  Current number of equations to process: 4198
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1063
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1376]
% 47.92/48.11  antidomain(multiplication(multiplication(A,codomain(B)),forward_diamond(
% 47.92/48.11                                                          coantidomain(B),C)))
% 47.92/48.11  -> one
% 47.92/48.11  Current number of equations to process: 4199
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1064
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1377]
% 47.92/48.11  antidomain(multiplication(codomain(A),forward_diamond(multiplication(
% 47.92/48.11                                                        coantidomain(A),B),C)))
% 47.92/48.11  -> one
% 47.92/48.11  Current number of equations to process: 4198
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1065
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1378]
% 47.92/48.11  coantidomain(backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B))))
% 47.92/48.11  -> one
% 47.92/48.11  Current number of equations to process: 4203
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1066
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1379]
% 47.92/48.11  coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition 
% 47.92/48.11  coantidomain(A) -> one
% 47.92/48.11  Current number of equations to process: 4299
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1067
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1380]
% 47.92/48.11  codomain(c(A)) addition coantidomain(backward_diamond(antidomain(A),c(A))) ->
% 47.92/48.11  one
% 47.92/48.11  Current number of equations to process: 4324
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1068
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1381]
% 47.92/48.11  codomain(antidomain(A)) addition coantidomain(backward_diamond(antidomain(A),
% 47.92/48.11                                                antidomain(A))) -> one
% 47.92/48.11  Current number of equations to process: 4323
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1069
% 47.92/48.11  New rule produced :
% 47.92/48.11  [1382]
% 47.92/48.11  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))))
% 47.92/48.11  -> true
% 47.92/48.11  Current number of equations to process: 4437
% 47.92/48.11  Current number of ordered equations: 0
% 47.92/48.11  Current number of rules: 1070
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1383]
% 50.68/50.92  leq(coantidomain(A),coantidomain(backward_diamond(codomain(A),codomain(A))))
% 50.68/50.92  -> true
% 50.68/50.92  Current number of equations to process: 4440
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1071
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1384]
% 50.68/50.92  leq(coantidomain(c(A)),coantidomain(backward_diamond(antidomain(A),c(A)))) ->
% 50.68/50.92  true
% 50.68/50.92  Current number of equations to process: 4439
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1072
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1385]
% 50.68/50.92  leq(coantidomain(antidomain(A)),coantidomain(backward_diamond(antidomain(A),
% 50.68/50.92                                               antidomain(A)))) -> true
% 50.68/50.92  Current number of equations to process: 4438
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1073
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1386]
% 50.68/50.92  leq(coantidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,
% 50.68/50.92                                                       codomain(B)))) -> true
% 50.68/50.92  Current number of equations to process: 4488
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1074
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1387]
% 50.68/50.92  coantidomain(backward_diamond(A,codomain(B))) ->
% 50.68/50.92  coantidomain(backward_diamond(A,B))
% 50.68/50.92  Rule
% 50.68/50.92  [431]
% 50.68/50.92  backward_diamond(A,B) addition coantidomain(backward_diamond(A,codomain(B)))
% 50.68/50.92  -> one collapsed.
% 50.68/50.92  Rule
% 50.68/50.92  [557]
% 50.68/50.92  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,
% 50.68/50.92                                                      codomain(A))) -> one
% 50.68/50.92  collapsed.
% 50.68/50.92  Rule
% 50.68/50.92  [558]
% 50.68/50.92  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,
% 50.68/50.92                                                     codomain(A)))) -> true
% 50.68/50.92  collapsed.
% 50.68/50.92  Rule
% 50.68/50.92  [1383]
% 50.68/50.92  leq(coantidomain(A),coantidomain(backward_diamond(codomain(A),codomain(A))))
% 50.68/50.92  -> true collapsed.
% 50.68/50.92  Rule
% 50.68/50.92  [1386]
% 50.68/50.92  leq(coantidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,
% 50.68/50.92                                                       codomain(B)))) -> true
% 50.68/50.92  collapsed.
% 50.68/50.92  Current number of equations to process: 4624
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1070
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1388] leq(multiplication(A,forward_diamond(B,C)),A) -> true
% 50.68/50.92  Current number of equations to process: 4698
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1071
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1389] leq(multiplication(A,forward_diamond(B,C)),A addition X0) -> true
% 50.68/50.92  Current number of equations to process: 4732
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1072
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1390] one addition multiplication(c(A),forward_diamond(B,C)) -> one
% 50.68/50.92  Rule [683] one addition multiplication(c(c(A)),forward_diamond(B,C)) -> one
% 50.68/50.92  collapsed.
% 50.68/50.92  Current number of equations to process: 4768
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1072
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1391]
% 50.68/50.92  one addition multiplication(forward_diamond(A,B),forward_diamond(C,X0)) ->
% 50.68/50.92  one
% 50.68/50.92  Current number of equations to process: 4831
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1073
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1392]
% 50.68/50.92  one addition multiplication(backward_diamond(A,B),forward_diamond(C,X0)) ->
% 50.68/50.92  one
% 50.68/50.92  Current number of equations to process: 4830
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1074
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1393]
% 50.68/50.92  c(A) addition multiplication(antidomain(A),forward_diamond(B,C)) -> c(A)
% 50.68/50.92  Current number of equations to process: 4899
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1075
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1394] forward_diamond(multiplication(c(A),forward_diamond(B,C)),A) -> zero
% 50.68/50.92  Current number of equations to process: 4903
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1076
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1395]
% 50.68/50.92  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A)) ->
% 50.68/50.92  zero
% 50.68/50.92  Current number of equations to process: 4910
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1077
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1396] leq(multiplication(forward_diamond(A,B),C),C) -> true
% 50.68/50.92  Current number of equations to process: 4942
% 50.68/50.92  Current number of ordered equations: 0
% 50.68/50.92  Current number of rules: 1078
% 50.68/50.92  New rule produced :
% 50.68/50.92  [1397] leq(multiplication(forward_diamond(A,B),C),C addition X0) -> true
% 50.68/50.92  Current number of equations to process: 4976
% 50.68/50.92  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1079
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1398] one addition multiplication(forward_diamond(A,B),c(C)) -> one
% 53.13/53.32  Rule [682] one addition multiplication(forward_diamond(A,B),c(c(C))) -> one
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 996
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1079
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1399]
% 53.13/53.32  one addition multiplication(forward_diamond(A,B),backward_diamond(C,X0)) ->
% 53.13/53.32  one
% 53.13/53.32  Current number of equations to process: 1057
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1080
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1400]
% 53.13/53.32  c(A) addition multiplication(forward_diamond(B,C),antidomain(A)) -> c(A)
% 53.13/53.32  Current number of equations to process: 1128
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1081
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1401]
% 53.13/53.32  forward_diamond(A,B) addition codomain(forward_diamond(A,B)) ->
% 53.13/53.32  codomain(forward_diamond(A,B))
% 53.13/53.32  Current number of equations to process: 1127
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1402]
% 53.13/53.32  multiplication(antidomain(A),multiplication(forward_diamond(B,C),A)) -> zero
% 53.13/53.32  Current number of equations to process: 1137
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1083
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1403] c(A) addition multiplication(antidomain(A),c(B)) -> c(A)
% 53.13/53.32  Rule [686] c(A) addition multiplication(antidomain(A),c(c(B))) -> c(A)
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1202
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1083
% 53.13/53.32  New rule produced : [1404] one addition multiplication(c(A),c(B)) -> one
% 53.13/53.32  Rule [673] one addition multiplication(c(A),c(c(B))) -> one collapsed.
% 53.13/53.32  Rule [674] one addition multiplication(c(c(A)),c(B)) -> one collapsed.
% 53.13/53.32  Current number of equations to process: 1234
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1405] one addition multiplication(backward_diamond(A,B),c(C)) -> one
% 53.13/53.32  Rule [684] one addition multiplication(backward_diamond(A,B),c(c(C))) -> one
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1249
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1406] multiplication(multiplication(A,codomain(B)),c(C)) addition A -> A
% 53.13/53.32  Rule
% 53.13/53.32  [701] multiplication(multiplication(A,codomain(B)),c(c(C))) addition A -> A
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1363
% 53.13/53.32  Current number of ordered equations: 1
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1407] multiplication(multiplication(A,coantidomain(B)),c(C)) addition A -> A
% 53.13/53.32  Rule
% 53.13/53.32  [700]
% 53.13/53.32  multiplication(multiplication(A,coantidomain(B)),c(c(C))) addition A -> A
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1363
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1408] multiplication(multiplication(codomain(A),B),c(C)) addition B -> B
% 53.13/53.32  Rule
% 53.13/53.32  [704] multiplication(multiplication(codomain(A),B),c(c(C))) addition B -> B
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1361
% 53.13/53.32  Current number of ordered equations: 1
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1409] multiplication(multiplication(coantidomain(A),B),c(C)) addition B -> B
% 53.13/53.32  Rule
% 53.13/53.32  [703]
% 53.13/53.32  multiplication(multiplication(coantidomain(A),B),c(c(C))) addition B -> B
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1361
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1410] multiplication(multiplication(A,c(B)),antidomain(C)) addition A -> A
% 53.13/53.32  Rule
% 53.13/53.32  [711] multiplication(multiplication(A,c(c(B))),antidomain(C)) addition A -> A
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1359
% 53.13/53.32  Current number of ordered equations: 1
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1411] multiplication(multiplication(A,antidomain(B)),c(C)) addition A -> A
% 53.13/53.32  Rule
% 53.13/53.32  [699] multiplication(multiplication(A,antidomain(B)),c(c(C))) addition A -> A
% 53.13/53.32  collapsed.
% 53.13/53.32  Current number of equations to process: 1359
% 53.13/53.32  Current number of ordered equations: 0
% 53.13/53.32  Current number of rules: 1082
% 53.13/53.32  New rule produced :
% 53.13/53.32  [1412] multiplication(antidomain(B),multiplication(A,c(C))) addition A -> A
% 53.13/53.32  Rule
% 53.13/53.32  [713] multiplication(antidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1357
% 54.10/54.29  Current number of ordered equations: 1
% 54.10/54.29  Current number of rules: 1082
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1413] multiplication(multiplication(antidomain(A),B),c(C)) addition B -> B
% 54.10/54.29  Rule
% 54.10/54.29  [702] multiplication(multiplication(antidomain(A),B),c(c(C))) addition B -> B
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1357
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1082
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1414] multiplication(multiplication(A,c(B)),codomain(C)) addition A -> A
% 54.10/54.29  Rule
% 54.10/54.29  [715] multiplication(multiplication(A,c(c(B))),codomain(C)) addition A -> A
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1355
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1082
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1415] multiplication(codomain(B),multiplication(A,c(C))) addition A -> A
% 54.10/54.29  Rule
% 54.10/54.29  [717] multiplication(codomain(A),multiplication(B,c(c(C)))) addition B -> B
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1353
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1082
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1416] multiplication(multiplication(A,c(B)),coantidomain(C)) addition A -> A
% 54.10/54.29  Rule
% 54.10/54.29  [719]
% 54.10/54.29  multiplication(multiplication(A,c(c(B))),coantidomain(C)) addition A -> A
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1351
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1082
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1417] multiplication(coantidomain(B),multiplication(A,c(C))) addition A -> A
% 54.10/54.29  Rule
% 54.10/54.29  [721]
% 54.10/54.29  multiplication(coantidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1349
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1082
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1418] leq(multiplication(multiplication(A,c(B)),antidomain(C)),A) -> true
% 54.10/54.29  Current number of equations to process: 1348
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1083
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1419] leq(multiplication(multiplication(A,c(B)),codomain(C)),A) -> true
% 54.10/54.29  Current number of equations to process: 1347
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1084
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1420] leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A) -> true
% 54.10/54.29  Current number of equations to process: 1346
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1085
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1421] leq(multiplication(antidomain(A),multiplication(B,c(C))),B) -> true
% 54.10/54.29  Current number of equations to process: 1345
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1086
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1422] leq(multiplication(codomain(A),multiplication(B,c(C))),B) -> true
% 54.10/54.29  Current number of equations to process: 1344
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1087
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1423] leq(multiplication(coantidomain(A),multiplication(B,c(C))),B) -> true
% 54.10/54.29  Current number of equations to process: 1343
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1088
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1424] forward_diamond(multiplication(c(A),c(B)),A) -> zero
% 54.10/54.29  Current number of equations to process: 1347
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1089
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1425] multiplication(multiplication(A,c(B)),coantidomain(A)) -> zero
% 54.10/54.29  Current number of equations to process: 1352
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1090
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1426] c(A) addition multiplication(c(B),antidomain(A)) -> c(A)
% 54.10/54.29  Rule [687] c(A) addition multiplication(c(c(B)),antidomain(A)) -> c(A)
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1423
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1090
% 54.10/54.29  New rule produced :
% 54.10/54.29  [1427] one addition multiplication(c(A),backward_diamond(B,C)) -> one
% 54.10/54.29  Rule [685] one addition multiplication(c(c(A)),backward_diamond(B,C)) -> one
% 54.10/54.29  collapsed.
% 54.10/54.29  Current number of equations to process: 1469
% 54.10/54.29  Current number of ordered equations: 0
% 54.10/54.29  Current number of rules: 1090
% 54.10/54.29  Rule [1243]
% 54.10/54.29       c(c(c(B) addition multiplication(A,c(B)))) ->
% 54.10/54.29       forward_diamond(one addition A,antidomain(B)) is composed into [1243]
% 54.10/54.29                                                                      c(
% 54.19/54.43                                                                      c(
% 54.19/54.43                                                                      c(B) addition 
% 54.19/54.43                                                                      multiplication(A,
% 54.19/54.43                                                                      c(B))))
% 54.19/54.43                                                                      ->
% 54.19/54.43                                                                      forward_diamond(
% 54.19/54.43                                                                      one addition A,
% 54.19/54.43                                                                      c(B))
% 54.19/54.43  Rule [1066]
% 54.19/54.43       c(A) addition multiplication(c(c(B)),c(c(A))) <->
% 54.19/54.43       c(c(B)) addition multiplication(antidomain(B),c(A)) is composed into 
% 54.19/54.43  [1066]
% 54.19/54.43  c(A) addition multiplication(c(c(B)),c(c(A))) ->
% 54.19/54.43  c(c(B)) addition multiplication(c(B),c(A))
% 54.19/54.43  Rule [728]
% 54.19/54.43       c(multiplication(A,multiplication(B,c(C)))) ->
% 54.19/54.43       antidomain(forward_diamond(multiplication(A,B),antidomain(C))) is composed into 
% 54.19/54.43  [728]
% 54.19/54.43  c(multiplication(A,multiplication(B,c(C)))) ->
% 54.19/54.43  c(forward_diamond(multiplication(A,B),c(C)))
% 54.19/54.43  Rule [177]
% 54.19/54.43       c(multiplication(A,c(B))) ->
% 54.19/54.43       antidomain(forward_diamond(A,antidomain(B))) is composed into [177]
% 54.19/54.43                                                                     c(
% 54.19/54.43                                                                     multiplication(A,
% 54.19/54.43                                                                     c(B))) ->
% 54.19/54.43                                                                     c(
% 54.19/54.43                                                                     forward_diamond(A,
% 54.19/54.43                                                                     c(B)))
% 54.19/54.43  Rule [175]
% 54.19/54.43       c(multiplication(A,forward_diamond(B,C))) ->
% 54.19/54.43       antidomain(forward_diamond(A,multiplication(B,c(c(C))))) is composed into 
% 54.19/54.43  [175]
% 54.19/54.43  c(multiplication(A,forward_diamond(B,C))) ->
% 54.19/54.43  c(forward_diamond(A,multiplication(B,c(c(C)))))
% 54.19/54.43  Rule [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),antidomain(X1)) is composed into 
% 54.19/54.43  [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),c(X1))
% 54.19/54.43  New rule produced : [1428] antidomain(A) -> c(A)
% 54.19/54.43  Rule [8] antidomain(antidomain(X0)) -> c(c(X0)) collapsed.
% 54.19/54.43  Rule [11] multiplication(antidomain(X0),X0) -> zero collapsed.
% 54.19/54.43  Rule [30] antidomain(one) -> zero collapsed.
% 54.19/54.43  Rule [35] antidomain(c(A)) -> c(c(A)) collapsed.
% 54.19/54.43  Rule [39] one addition antidomain(A) -> one collapsed.
% 54.19/54.43  Rule [51] multiplication(multiplication(A,antidomain(B)),B) -> zero
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [53] multiplication(antidomain(A),multiplication(A,B)) -> zero
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [103] c(A) addition antidomain(A) -> c(A) collapsed.
% 54.19/54.43  Rule [113] antidomain(zero) -> one collapsed.
% 54.19/54.43  Rule [115] c(antidomain(A)) -> c(c(A)) collapsed.
% 54.19/54.43  Rule [130] multiplication(A,antidomain(B)) addition A -> A collapsed.
% 54.19/54.43  Rule [131] multiplication(antidomain(B),A) addition A -> A collapsed.
% 54.19/54.43  Rule [132] leq(antidomain(A),one) -> true collapsed.
% 54.19/54.43  Rule [133] leq(antidomain(A),one addition B) -> true collapsed.
% 54.19/54.43  Rule [146] ifeq2(one,antidomain(A),leq(one,antidomain(A)),true) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [165] forward_diamond(A,B) addition antidomain(forward_diamond(A,B)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [169] ifeq(leq(one,antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [182]
% 54.19/54.43  multiplication(multiplication(A,antidomain(B)),multiplication(B,C)) -> zero
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [202]
% 54.19/54.43  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule [208] leq(antidomain(A) addition B,one addition B) -> true collapsed.
% 54.19/54.43  Rule [215] leq(antidomain(A) addition B,one addition B addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [225]
% 54.19/54.43  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,c(B)))
% 54.19/54.43  -> one collapsed.
% 54.19/54.43  Rule [238] multiplication(c(A),antidomain(A)) -> c(A) collapsed.
% 54.19/54.43  Rule [240] leq(multiplication(A,antidomain(B)),A) -> true collapsed.
% 54.19/54.43  Rule [242] leq(multiplication(A,antidomain(B)),A addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [244]
% 54.19/54.43  multiplication(antidomain(codomain(A)),coantidomain(A)) ->
% 54.19/54.43  antidomain(codomain(A)) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [245]
% 54.19/54.43  multiplication(antidomain(coantidomain(A)),codomain(A)) ->
% 54.19/54.43  antidomain(coantidomain(A)) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [247] leq(multiplication(A,antidomain(B)) addition C,A addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [257]
% 54.19/54.43  multiplication(multiplication(A,antidomain(codomain(B))),coantidomain(B)) ->
% 54.19/54.43  multiplication(A,antidomain(codomain(B))) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [258]
% 54.19/54.43  multiplication(multiplication(A,antidomain(coantidomain(B))),codomain(B)) ->
% 54.19/54.43  multiplication(A,antidomain(coantidomain(B))) collapsed.
% 54.19/54.43  Rule [262] multiplication(antidomain(A),antidomain(A)) -> antidomain(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [264] leq(multiplication(antidomain(A),B),B) -> true collapsed.
% 54.19/54.43  Rule [266] leq(multiplication(antidomain(A),B),B addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [271] leq(multiplication(antidomain(A),B) addition C,B addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [303]
% 54.19/54.43  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 54.19/54.43  codomain(B) addition antidomain(A) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [306]
% 54.19/54.43  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 54.19/54.43  codomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [321]
% 54.19/54.43  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(C,X0))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [323]
% 54.19/54.43  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(B,C))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [324]
% 54.19/54.43  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(B,C),X0))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [327]
% 54.19/54.43  ifeq2(one addition A,one,leq(antidomain(B) addition A,one),true) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [328] ifeq(leq(antidomain(A) addition B,one),true,one addition B,one) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [338]
% 54.19/54.43  leq(multiplication(A,antidomain(B)) addition C,A addition C addition X0) ->
% 54.19/54.43  true collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [342]
% 54.19/54.43  leq(multiplication(antidomain(A),B) addition C,B addition C addition X0) ->
% 54.19/54.43  true collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [347]
% 54.19/54.43  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(
% 54.19/54.43                                                                  multiplication(B,C),X0)))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [348]
% 54.19/54.43  multiplication(multiplication(multiplication(A,antidomain(multiplication(B,C))),B),
% 54.19/54.43  multiplication(C,X0)) -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [350]
% 54.19/54.43  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(
% 54.19/54.43                                                                   multiplication(B,C),X0))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [351]
% 54.19/54.43  multiplication(antidomain(multiplication(multiplication(A,B),C)),multiplication(A,
% 54.19/54.43                                                                   multiplication(B,C)))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [354]
% 54.19/54.43  multiplication(multiplication(A,antidomain(multiplication(B,C))),multiplication(B,
% 54.19/54.43                                                                   multiplication(C,X0)))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [363]
% 54.19/54.43  antidomain(forward_diamond(A addition C,B)) <->
% 54.19/54.43  c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B)))) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [368]
% 54.19/54.43  forward_diamond(A addition C,antidomain(B)) <->
% 54.19/54.43  c(c(multiplication(A,c(B)) addition multiplication(C,c(B)))) collapsed.
% 54.19/54.43  Rule [369] multiplication(antidomain(A addition B),A) -> zero collapsed.
% 54.19/54.43  Rule [383] leq(antidomain(A),c(A)) -> true collapsed.
% 54.19/54.43  Rule [384] leq(antidomain(A),c(A) addition B) -> true collapsed.
% 54.19/54.43  Rule [386] leq(antidomain(A) addition B,c(A) addition B) -> true collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [387]
% 54.19/54.43  multiplication(A,c(B)) addition multiplication(A,antidomain(B)) ->
% 54.19/54.43  multiplication(A,c(B)) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [388]
% 54.19/54.43  multiplication(c(A),B) addition multiplication(antidomain(A),B) ->
% 54.19/54.43  multiplication(c(A),B) collapsed.
% 54.19/54.43  Rule [389] ifeq2(c(A),antidomain(A),leq(c(A),antidomain(A)),true) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [390] leq(antidomain(A) addition B,c(A) addition B addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [391] ifeq(leq(c(A),antidomain(A)),true,c(A),antidomain(A)) -> antidomain(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [395]
% 54.19/54.43  leq(antidomain(multiplication(A,antidomain(B))),antidomain(multiplication(A,
% 54.19/54.43                                                             c(B)))) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [396]
% 54.19/54.43  forward_diamond(multiplication(A,B),C) addition antidomain(multiplication(A,
% 54.19/54.43                                                             forward_diamond(B,C)))
% 54.19/54.43  -> one collapsed.
% 54.19/54.43  Rule [469] one addition multiplication(antidomain(A),antidomain(B)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [470] one addition multiplication(codomain(A),antidomain(B)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [471] one addition multiplication(coantidomain(A),antidomain(B)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [472] one addition multiplication(c(A),antidomain(B)) -> one collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [473] one addition multiplication(forward_diamond(A,B),antidomain(C)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [474] c(A) addition multiplication(antidomain(A),antidomain(B)) -> c(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [475] one addition multiplication(antidomain(A),codomain(B)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [476] one addition multiplication(antidomain(A),coantidomain(B)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [478]
% 54.19/54.43  multiplication(multiplication(A,antidomain(B)),antidomain(C)) addition A -> A
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [479]
% 54.19/54.43  multiplication(multiplication(A,codomain(B)),antidomain(C)) addition A -> A
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [480]
% 54.19/54.43  multiplication(multiplication(A,coantidomain(B)),antidomain(C)) addition A ->
% 54.19/54.43  A collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [481]
% 54.19/54.43  multiplication(multiplication(antidomain(A),B),antidomain(C)) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [483]
% 54.19/54.43  multiplication(multiplication(codomain(A),B),antidomain(C)) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [484]
% 54.19/54.43  multiplication(multiplication(coantidomain(A),B),antidomain(C)) addition B ->
% 54.19/54.43  B collapsed.
% 54.19/54.43  Rule [485] one addition multiplication(antidomain(A),c(B)) -> one collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [486] one addition multiplication(antidomain(A),forward_diamond(B,C)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [487] c(A) addition multiplication(antidomain(B),antidomain(A)) -> c(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [488]
% 54.19/54.43  multiplication(antidomain(A),multiplication(B,antidomain(C))) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [490]
% 54.19/54.43  multiplication(antidomain(A),multiplication(B,codomain(C))) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [491]
% 54.19/54.43  multiplication(antidomain(A),multiplication(B,coantidomain(C))) addition B ->
% 54.19/54.43  B collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [493]
% 54.19/54.43  multiplication(antidomain(A),multiplication(antidomain(B),C)) addition C -> C
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [494]
% 54.19/54.43  multiplication(antidomain(A),multiplication(codomain(B),C)) addition C -> C
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [495]
% 54.19/54.43  multiplication(antidomain(A),multiplication(coantidomain(B),C)) addition C ->
% 54.19/54.43  C collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [502] one addition multiplication(backward_diamond(A,B),antidomain(C)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [503] one addition multiplication(antidomain(A),backward_diamond(B,C)) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [506] c(A) addition multiplication(antidomain(A),codomain(B)) -> c(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [510]
% 54.19/54.43  multiplication(multiplication(A,antidomain(B)),codomain(C)) addition A -> A
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [513]
% 54.19/54.43  multiplication(multiplication(antidomain(A),B),codomain(C)) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [519] c(A) addition multiplication(codomain(B),antidomain(A)) -> c(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [521]
% 54.19/54.43  multiplication(codomain(A),multiplication(B,antidomain(C))) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [526]
% 54.19/54.43  multiplication(codomain(A),multiplication(antidomain(B),C)) addition C -> C
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [532] c(A) addition multiplication(antidomain(A),coantidomain(B)) -> c(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [535]
% 54.19/54.43  multiplication(multiplication(A,antidomain(B)),coantidomain(C)) addition A ->
% 54.19/54.43  A collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [538]
% 54.19/54.43  multiplication(multiplication(antidomain(A),B),coantidomain(C)) addition B ->
% 54.19/54.43  B collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [544] c(A) addition multiplication(coantidomain(B),antidomain(A)) -> c(A)
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [546]
% 54.19/54.43  multiplication(coantidomain(A),multiplication(B,antidomain(C))) addition B ->
% 54.19/54.43  B collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [551]
% 54.19/54.43  multiplication(coantidomain(A),multiplication(antidomain(B),C)) addition C ->
% 54.19/54.43  C collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [559]
% 54.19/54.43  multiplication(forward_diamond(A,antidomain(B)),antidomain(multiplication(A,
% 54.19/54.43                                                             c(B)))) -> zero
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [570]
% 54.19/54.43  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) ->
% 54.19/54.43  coantidomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [572]
% 54.19/54.43  coantidomain(A) addition multiplication(antidomain(B),codomain(A)) ->
% 54.19/54.43  coantidomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [593]
% 54.19/54.43  multiplication(A,multiplication(B,antidomain(C))) addition multiplication(A,B)
% 54.19/54.43  -> multiplication(A,B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [594]
% 54.19/54.43  multiplication(multiplication(A,antidomain(C)),B) addition multiplication(A,B)
% 54.19/54.43  -> multiplication(A,B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [595]
% 54.19/54.43  multiplication(multiplication(antidomain(A),B),C) addition multiplication(B,C)
% 54.19/54.43  -> multiplication(B,C) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [596]
% 54.19/54.43  multiplication(A,multiplication(antidomain(C),B)) addition multiplication(A,B)
% 54.19/54.43  -> multiplication(A,B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [611]
% 54.19/54.43  multiplication(antidomain(A),multiplication(antidomain(A),B)) ->
% 54.19/54.43  multiplication(antidomain(A),B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [618]
% 54.19/54.43  multiplication(multiplication(A,c(B)),antidomain(B)) ->
% 54.19/54.43  multiplication(A,c(B)) collapsed.
% 54.19/54.43  Rule [646] c(c(X0)) addition antidomain(X0) -> one collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [648]
% 54.19/54.43  antidomain(multiplication(X0,c(c(X1)))) addition antidomain(multiplication(X0,X1))
% 54.19/54.43  -> antidomain(multiplication(X0,c(c(X1)))) collapsed.
% 54.19/54.43  Rule [651] forward_diamond(c(c(A)),antidomain(A)) -> zero collapsed.
% 54.19/54.43  Rule [652] multiplication(c(c(A)),antidomain(A)) -> zero collapsed.
% 54.19/54.43  Rule [656] antidomain(multiplication(A,c(c(coantidomain(A))))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [657] antidomain(multiplication(antidomain(A),c(c(A)))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [658] coantidomain(backward_diamond(antidomain(A),c(c(A)))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [666] multiplication(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [667] multiplication(c(c(A)),multiplication(antidomain(A),B)) -> zero
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [670]
% 54.19/54.43  multiplication(c(c(A)),coantidomain(antidomain(A))) ->
% 54.19/54.43  coantidomain(antidomain(A)) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [672] antidomain(multiplication(codomain(A),c(c(coantidomain(A))))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [675]
% 54.19/54.43  multiplication(antidomain(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [676]
% 54.19/54.43  antidomain(multiplication(multiplication(A,B),c(c(coantidomain(B))))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [677]
% 54.19/54.43  antidomain(multiplication(multiplication(A,antidomain(B)),c(c(B)))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [678]
% 54.19/54.43  antidomain(multiplication(A,c(c(multiplication(coantidomain(A),B))))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [679]
% 54.19/54.43  antidomain(multiplication(antidomain(A),c(c(multiplication(A,B))))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [689]
% 54.19/54.43  forward_diamond(A,B) addition antidomain(multiplication(A,c(c(B)))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [690] multiplication(A,c(c(B))) addition multiplication(A,antidomain(B)) -> A
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [691] multiplication(c(c(B)),A) addition multiplication(antidomain(B),A) -> A
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [692]
% 54.19/54.43  multiplication(forward_diamond(A,B),antidomain(multiplication(A,c(c(B))))) ->
% 54.19/54.43  zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [695]
% 54.19/54.43  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,c(c(B))))
% 54.19/54.43  -> zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [696]
% 54.19/54.43  forward_diamond(multiplication(antidomain(multiplication(A,c(c(B)))),A),B) ->
% 54.19/54.43  zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [697]
% 54.19/54.43  multiplication(multiplication(A,c(c(B))),multiplication(antidomain(B),C)) ->
% 54.19/54.43  zero collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [705] multiplication(c(c(A)),multiplication(B,antidomain(C))) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [708] multiplication(c(c(A)),multiplication(antidomain(B),C)) addition C -> C
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [712] multiplication(multiplication(c(c(A)),B),antidomain(C)) addition B -> B
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [714] multiplication(antidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [723]
% 54.19/54.43  antidomain(multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))))
% 54.19/54.43  -> one collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [724]
% 54.19/54.43  antidomain(multiplication(coantidomain(A),c(c(multiplication(codomain(A),B)))))
% 54.19/54.43  -> one collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [729]
% 54.19/54.43  forward_diamond(antidomain(forward_diamond(A,antidomain(B))),multiplication(A,
% 54.19/54.43                                                               c(B))) -> zero
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [731] ifeq2(one,antidomain(A),leq(c(c(A)),antidomain(A)),true) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [732]
% 54.19/54.43  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,c(c(B))))) ->
% 54.19/54.43  true collapsed.
% 54.19/54.43  Rule [733] leq(antidomain(A) addition antidomain(B),one) -> true collapsed.
% 54.19/54.43  Rule [734] leq(codomain(A) addition antidomain(B),one) -> true collapsed.
% 54.19/54.43  Rule [735] leq(coantidomain(A) addition antidomain(B),one) -> true collapsed.
% 54.19/54.43  Rule [736] leq(c(A) addition antidomain(B),one) -> true collapsed.
% 54.19/54.43  Rule [737] leq(forward_diamond(A,B) addition antidomain(C),one) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [738] leq(backward_diamond(A,B) addition antidomain(C),one) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [751] leq(coantidomain(A) addition antidomain(B),one addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [752] leq(codomain(A) addition antidomain(B),one addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [753] leq(antidomain(A) addition antidomain(B),one addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [754] leq(c(A) addition antidomain(B),one addition C) -> true collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [757]
% 54.19/54.43  leq(forward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [758]
% 54.19/54.43  leq(backward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [772]
% 54.19/54.43  multiplication(c(c(A)),multiplication(coantidomain(antidomain(A)),B)) ->
% 54.19/54.43  multiplication(coantidomain(antidomain(A)),B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [774]
% 54.19/54.43  antidomain(B) addition multiplication(antidomain(A),c(c(B))) ->
% 54.19/54.43  antidomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [775]
% 54.19/54.43  antidomain(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 54.19/54.43  coantidomain(B) addition antidomain(A) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [776]
% 54.19/54.43  antidomain(B) addition multiplication(coantidomain(A),c(c(B))) ->
% 54.19/54.43  coantidomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [781]
% 54.19/54.43  antidomain(A) addition multiplication(c(c(A)),antidomain(B)) ->
% 54.19/54.43  antidomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [782]
% 54.19/54.43  antidomain(B) addition multiplication(codomain(A),c(c(B))) ->
% 54.19/54.43  codomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [783]
% 54.19/54.43  antidomain(B) addition multiplication(c(c(B)),codomain(A)) ->
% 54.19/54.43  codomain(A) addition antidomain(B) collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [785]
% 54.19/54.43  antidomain(multiplication(c(c(A)),c(c(multiplication(antidomain(A),B))))) ->
% 54.19/54.43  one collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [786] antidomain(multiplication(c(A),c(c(multiplication(c(c(A)),B))))) -> one
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [787]
% 54.19/54.43  leq(antidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [788]
% 54.19/54.43  leq(codomain(A) addition antidomain(B) addition C,one addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [789]
% 54.19/54.43  leq(coantidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule [790] leq(c(A) addition antidomain(B) addition C,one addition C) -> true
% 54.19/54.43  collapsed.
% 54.19/54.43  Rule
% 54.19/54.43  [797]
% 54.19/54.43  leq(antidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [798]
% 54.19/54.44  leq(antidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [799]
% 54.19/54.44  leq(antidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [800]
% 54.19/54.44  leq(antidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [801]
% 54.19/54.44  leq(antidomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [802]
% 54.19/54.44  leq(antidomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [807]
% 54.19/54.44  leq(codomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [808]
% 54.19/54.44  leq(codomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [813]
% 54.19/54.44  leq(coantidomain(A) addition multiplication(B,antidomain(C)),one addition B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [814]
% 54.19/54.44  leq(coantidomain(A) addition multiplication(antidomain(B),C),one addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [819]
% 54.19/54.44  leq(c(A) addition multiplication(B,antidomain(C)),one addition B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [820]
% 54.19/54.44  leq(c(A) addition multiplication(antidomain(B),C),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [821]
% 54.19/54.44  ifeq(leq(c(c(A)),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [826] forward_diamond(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [828] multiplication(c(A),coantidomain(antidomain(A))) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [829]
% 54.19/54.44  multiplication(c(A),multiplication(antidomain(A),B)) ->
% 54.19/54.44  multiplication(c(A),B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [831]
% 54.19/54.44  multiplication(c(A),multiplication(coantidomain(antidomain(A)),B)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [832] leq(multiplication(codomain(A),antidomain(B)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [833] leq(multiplication(coantidomain(A),antidomain(B)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [834] leq(multiplication(antidomain(A),antidomain(B)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [835] leq(multiplication(codomain(A),antidomain(B)),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [836]
% 54.19/54.44  leq(multiplication(coantidomain(A),antidomain(B)),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [837] leq(multiplication(antidomain(A),antidomain(B)),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [838]
% 54.19/54.44  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [839]
% 54.19/54.44  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [840]
% 54.19/54.44  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [841]
% 54.19/54.44  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule [842] leq(multiplication(c(A),antidomain(B)),one) -> true collapsed.
% 54.19/54.44  Rule [843] leq(multiplication(antidomain(A),antidomain(B)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [844] leq(multiplication(forward_diamond(A,B),antidomain(C)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [845] leq(multiplication(backward_diamond(A,B),antidomain(C)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [846] leq(multiplication(c(A),antidomain(B)),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [847]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [848]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [854]
% 54.19/54.44  codomain(antidomain(A)) addition antidomain(A) -> codomain(antidomain(A))
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [857] coantidomain(A) addition antidomain(codomain(A)) -> coantidomain(A)
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [858] codomain(A) addition antidomain(coantidomain(A)) -> codomain(A)
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [861]
% 54.19/54.44  multiplication(multiplication(c(A),B),coantidomain(multiplication(antidomain(A),B)))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [862]
% 54.19/54.44  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B)) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [863]
% 54.19/54.44  leq(multiplication(antidomain(A),antidomain(B)),c(A) addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [864]
% 54.19/54.44  leq(multiplication(forward_diamond(A,B),antidomain(C)),one addition X0) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [865]
% 54.19/54.44  leq(multiplication(backward_diamond(A,B),antidomain(C)),one addition X0) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [867]
% 54.19/54.44  multiplication(antidomain(codomain(A)),multiplication(coantidomain(A),B)) ->
% 54.19/54.44  multiplication(antidomain(codomain(A)),B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [868]
% 54.19/54.44  multiplication(antidomain(coantidomain(A)),multiplication(codomain(A),B)) ->
% 54.19/54.44  multiplication(antidomain(coantidomain(A)),B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [869]
% 54.19/54.44  multiplication(multiplication(antidomain(coantidomain(A)),B),coantidomain(
% 54.19/54.44                                                               backward_diamond(B,A)))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [871]
% 54.19/54.44  multiplication(antidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 54.19/54.44  -> antidomain(backward_diamond(A,B)) collapsed.
% 54.19/54.44  Rule [873] multiplication(c(A),codomain(antidomain(A))) -> c(A) collapsed.
% 54.19/54.44  Rule [877] leq(multiplication(antidomain(A),codomain(B)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [881] leq(multiplication(antidomain(A),codomain(B)),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [887] leq(multiplication(antidomain(A),codomain(B)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [891]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [892]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [895] leq(multiplication(antidomain(A),coantidomain(B)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [898]
% 54.19/54.44  leq(multiplication(antidomain(A),coantidomain(B)),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [904] leq(multiplication(antidomain(A),coantidomain(B)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [908]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [909]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [913] leq(multiplication(antidomain(A),codomain(B)),c(A) addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [916]
% 54.19/54.44  leq(multiplication(antidomain(A),coantidomain(B)),c(A) addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [921]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B)),antidomain(B)) ->
% 54.19/54.44  multiplication(A,antidomain(B)) collapsed.
% 54.19/54.44  Rule [922] leq(antidomain(A),codomain(antidomain(A))) -> true collapsed.
% 54.19/54.44  Rule [923] leq(antidomain(codomain(A)),coantidomain(A)) -> true collapsed.
% 54.19/54.44  Rule [924] leq(antidomain(coantidomain(A)),codomain(A)) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [925]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [926]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [927]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [928]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule [929] leq(multiplication(antidomain(A),c(B)),one) -> true collapsed.
% 54.19/54.44  Rule [930] leq(multiplication(antidomain(A),antidomain(B)),c(B)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [931] leq(multiplication(antidomain(A),forward_diamond(B,C)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [932] leq(multiplication(antidomain(A),backward_diamond(B,C)),one) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [933] leq(multiplication(antidomain(A),c(B)),one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [934]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [935]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [936] leq(antidomain(A),codomain(antidomain(A)) addition B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [937] leq(antidomain(codomain(A)),coantidomain(A) addition B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [938] leq(antidomain(coantidomain(A)),codomain(A) addition B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [939]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C)) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [940]
% 54.19/54.44  leq(multiplication(antidomain(A),antidomain(B)),c(B) addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [941]
% 54.19/54.44  leq(multiplication(antidomain(A),forward_diamond(B,C)),one addition X0) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [942]
% 54.19/54.44  leq(multiplication(antidomain(A),backward_diamond(B,C)),one addition X0) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule [954] leq(multiplication(codomain(A),antidomain(B)),c(B)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [958]
% 54.19/54.44  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [959]
% 54.19/54.44  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [965] leq(multiplication(coantidomain(A),antidomain(B)),c(B)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [969]
% 54.19/54.44  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [970]
% 54.19/54.44  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [971]
% 54.19/54.44  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [972]
% 54.19/54.44  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [973]
% 54.19/54.44  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [976] leq(multiplication(codomain(A),antidomain(B)),c(B) addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [979]
% 54.19/54.44  leq(multiplication(coantidomain(A),antidomain(B)),c(B) addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [985]
% 54.19/54.44  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [986]
% 54.19/54.44  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [987]
% 54.19/54.44  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [988]
% 54.19/54.44  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [989]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [990]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [993]
% 54.19/54.44  multiplication(antidomain(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 54.19/54.44  -> antidomain(coantidomain(backward_diamond(A,B))) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [994]
% 54.19/54.44  leq(antidomain(A) addition multiplication(c(A),antidomain(B)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [995]
% 54.19/54.44  leq(multiplication(A,antidomain(B)) addition multiplication(A,antidomain(C)),A)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [996]
% 54.19/54.44  leq(multiplication(antidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [997]
% 54.19/54.44  leq(multiplication(A,codomain(B)) addition multiplication(A,antidomain(C)),A)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [998]
% 54.19/54.44  leq(multiplication(codomain(A),B) addition multiplication(B,antidomain(C)),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [999]
% 54.19/54.44  leq(multiplication(A,coantidomain(B)) addition multiplication(A,antidomain(C)),A)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1000]
% 54.19/54.44  leq(multiplication(coantidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1005]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1006]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1011]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1012]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1014]
% 54.19/54.44  leq(antidomain(A) addition multiplication(c(A),codomain(B)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1015]
% 54.19/54.44  leq(multiplication(antidomain(A),B) addition multiplication(B,codomain(C)),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1020]
% 54.19/54.44  leq(antidomain(A) addition multiplication(c(A),coantidomain(B)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1021]
% 54.19/54.44  leq(multiplication(antidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1025]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1026]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1027]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1028]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1029]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1030]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1031]
% 54.19/54.44  leq(antidomain(A) addition multiplication(antidomain(B),c(A)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1032]
% 54.19/54.44  leq(multiplication(antidomain(A),B) addition multiplication(antidomain(C),B),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1033]
% 54.19/54.44  leq(multiplication(codomain(A),B) addition multiplication(antidomain(C),B),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1034]
% 54.19/54.44  leq(multiplication(coantidomain(A),B) addition multiplication(antidomain(C),B),B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1039]
% 54.19/54.44  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1040]
% 54.19/54.44  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1045]
% 54.19/54.44  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1046]
% 54.19/54.44  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1048]
% 54.19/54.44  leq(antidomain(A) addition multiplication(codomain(B),c(A)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1051]
% 54.19/54.44  leq(antidomain(A) addition multiplication(coantidomain(B),c(A)),c(A)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1054]
% 54.19/54.44  multiplication(antidomain(A),multiplication(coantidomain(c(c(A))),B)) ->
% 54.19/54.44  multiplication(coantidomain(c(c(A))),B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1055]
% 54.19/54.44  c(c(B)) addition multiplication(antidomain(A),antidomain(B)) ->
% 54.19/54.44  c(c(B)) addition antidomain(A) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1056]
% 54.19/54.44  c(c(A)) addition multiplication(antidomain(A),antidomain(B)) ->
% 54.19/54.44  c(c(A)) addition antidomain(B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1057]
% 54.19/54.44  c(c(A)) addition multiplication(antidomain(A),codomain(B)) ->
% 54.19/54.44  c(c(A)) addition codomain(B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1058]
% 54.19/54.44  c(c(A)) addition multiplication(antidomain(A),coantidomain(B)) ->
% 54.19/54.44  c(c(A)) addition coantidomain(B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1059]
% 54.19/54.44  c(c(B)) addition multiplication(codomain(A),antidomain(B)) ->
% 54.19/54.44  c(c(B)) addition codomain(A) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1060]
% 54.19/54.44  c(c(B)) addition multiplication(coantidomain(A),antidomain(B)) ->
% 54.19/54.44  c(c(B)) addition coantidomain(A) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1061]
% 54.19/54.44  c(c(multiplication(A,antidomain(forward_diamond(B,C))))) ->
% 54.19/54.44  forward_diamond(A,antidomain(multiplication(B,c(c(C))))) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1067]
% 54.19/54.44  c(A) addition multiplication(antidomain(B),c(c(A))) ->
% 54.19/54.44  antidomain(B) addition multiplication(c(c(B)),c(A)) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1068]
% 54.19/54.44  c(c(B)) addition multiplication(antidomain(B),c(A)) <->
% 54.19/54.44  c(A) addition multiplication(c(c(B)),c(c(A))) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1069]
% 54.19/54.44  c(c(A)) addition multiplication(antidomain(B),c(A)) ->
% 54.19/54.44  c(c(A)) addition antidomain(B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1075]
% 54.19/54.44  c(multiplication(A,antidomain(forward_diamond(B,antidomain(C))))) ->
% 54.19/54.44  antidomain(forward_diamond(A,antidomain(multiplication(B,c(C))))) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1076]
% 54.19/54.44  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),C)) ->
% 54.19/54.44  multiplication(A,multiplication(c(B),C)) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1078]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B)),multiplication(antidomain(B),C))
% 54.19/54.44  -> multiplication(A,multiplication(antidomain(B),C)) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1081]
% 54.19/54.44  multiplication(multiplication(A,c(B)),multiplication(coantidomain(antidomain(B)),C))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule [1085] ifeq2(one,c(c(A)),leq(antidomain(A),c(c(A))),true) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1086]
% 54.19/54.44  c(c(multiplication(A,B))) addition antidomain(multiplication(A,c(c(B)))) ->
% 54.19/54.44  one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1089]
% 54.19/54.44  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 54.19/54.44                                                                     c(
% 54.19/54.44                                                                     c(C)))) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1090]
% 54.19/54.44  leq(multiplication(coantidomain(A),antidomain(B)) addition C,one addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1091]
% 54.19/54.44  leq(multiplication(codomain(A),antidomain(B)) addition C,one addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1092]
% 54.19/54.44  leq(multiplication(antidomain(A),antidomain(B)) addition C,one addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1093]
% 54.19/54.44  leq(multiplication(c(A),antidomain(B)) addition C,one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1094]
% 54.19/54.44  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 54.19/54.44                                                             c(c(C))))),B),C)
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1097]
% 54.19/54.44  leq(multiplication(antidomain(A),codomain(B)) addition C,one addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1101]
% 54.19/54.44  leq(multiplication(antidomain(A),coantidomain(B)) addition C,one addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1103]
% 54.19/54.44  leq(multiplication(antidomain(A),c(B)) addition C,one addition C) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1112]
% 54.19/54.44  c(c(multiplication(A,antidomain(B)))) addition antidomain(multiplication(A,
% 54.19/54.44                                                            c(B))) -> one
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1113]
% 54.19/54.44  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(B))) -> one
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1120]
% 54.19/54.44  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 54.19/54.44                                                                   c(c(C)))))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1121]
% 54.19/54.44  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 54.19/54.44                                                             antidomain(C),X0))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1122]
% 54.19/54.44  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 54.19/54.44                                                          antidomain(B),C),X0))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1123]
% 54.19/54.44  multiplication(multiplication(A,forward_diamond(B,antidomain(C))),antidomain(
% 54.19/54.44                                                                    multiplication(B,
% 54.19/54.44                                                                    c(C)))) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1124]
% 54.19/54.44  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 54.19/54.44                                                                c(c(B)))),C))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1125]
% 54.19/54.44  multiplication(forward_diamond(A,antidomain(B)),multiplication(antidomain(
% 54.19/54.44                                                                 multiplication(A,
% 54.19/54.44                                                                 c(B))),C)) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1126]
% 54.19/54.44  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(B)))) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1129]
% 54.19/54.44  multiplication(A,forward_diamond(B,C)) addition multiplication(A,antidomain(
% 54.19/54.44                                                                   forward_diamond(B,C)))
% 54.19/54.44  -> A collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1130]
% 54.19/54.44  multiplication(forward_diamond(B,C),A) addition multiplication(antidomain(
% 54.19/54.44                                                                 forward_diamond(B,C)),A)
% 54.19/54.44  -> A collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1137]
% 54.19/54.44  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(
% 54.19/54.44                                                                   multiplication(C,X0),X1))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1138]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(
% 54.19/54.44                                                                multiplication(B,C),X0),X1))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1139]
% 54.19/54.44  multiplication(multiplication(A,multiplication(B,multiplication(C,antidomain(X0)))),
% 54.19/54.44  multiplication(X0,X1)) -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1142]
% 54.19/54.44  multiplication(multiplication(A,multiplication(antidomain(multiplication(B,C)),B)),
% 54.19/54.44  multiplication(C,X0)) -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1143]
% 54.19/54.44  leq(forward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1144]
% 54.19/54.44  leq(backward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1155]
% 54.19/54.44  leq(forward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1156]
% 54.19/54.44  leq(forward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1161]
% 54.19/54.44  leq(backward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1162]
% 54.19/54.44  leq(backward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1163]
% 54.19/54.44  forward_diamond(multiplication(A,antidomain(forward_diamond(B,antidomain(C)))),
% 54.19/54.44  multiplication(B,c(C))) -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1164]
% 54.19/54.44  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B) addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1168]
% 54.19/54.44  multiplication(multiplication(multiplication(A,antidomain(coantidomain(B))),C),
% 54.19/54.44  coantidomain(backward_diamond(C,B))) -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1169]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C) addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1172]
% 54.19/54.44  multiplication(multiplication(A,antidomain(coantidomain(B))),multiplication(C,
% 54.19/54.44                                                               coantidomain(
% 54.19/54.44                                                               backward_diamond(C,B))))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1173]
% 54.19/54.44  leq(antidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1174]
% 54.19/54.44  leq(codomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1175]
% 54.19/54.44  leq(coantidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1176]
% 54.19/54.44  leq(c(A) addition multiplication(antidomain(B),coantidomain(C)),one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1177]
% 54.19/54.44  leq(antidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1178]
% 54.19/54.44  leq(codomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1179]
% 54.19/54.44  leq(coantidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1180]
% 54.19/54.44  leq(c(A) addition multiplication(coantidomain(B),antidomain(C)),one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1181]
% 54.19/54.44  leq(antidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1185]
% 54.19/54.44  leq(antidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1189]
% 54.19/54.44  leq(antidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 54.19/54.44  one addition X0) -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1195]
% 54.19/54.44  multiplication(antidomain(multiplication(A,multiplication(B,C))),multiplication(
% 54.19/54.44                                                                   multiplication(A,B),C))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1197]
% 54.19/54.44  leq(antidomain(A) addition multiplication(B,antidomain(C)),c(A) addition B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1198]
% 54.19/54.44  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(A) addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1199]
% 54.19/54.44  leq(multiplication(forward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1200]
% 54.19/54.44  leq(multiplication(backward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1201]
% 54.19/54.44  leq(antidomain(A) addition multiplication(B,codomain(C)),c(A) addition B) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1202]
% 54.19/54.44  leq(multiplication(antidomain(A),codomain(B)) addition C,c(A) addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1205]
% 54.19/54.44  leq(antidomain(A) addition multiplication(B,coantidomain(C)),c(A) addition B)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1206]
% 54.19/54.44  leq(multiplication(antidomain(A),coantidomain(B)) addition C,c(A) addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1209]
% 54.19/54.44  leq(antidomain(A) addition multiplication(antidomain(B),C),c(A) addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1210]
% 54.19/54.44  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(B) addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1211]
% 54.19/54.44  leq(multiplication(antidomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1212]
% 54.19/54.44  leq(multiplication(antidomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1213]
% 54.19/54.44  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1214]
% 54.19/54.44  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1215]
% 54.19/54.44  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1216]
% 54.19/54.44  leq(antidomain(A) addition multiplication(codomain(B),C),c(A) addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1217]
% 54.19/54.44  leq(multiplication(codomain(A),antidomain(B)) addition C,c(B) addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1220]
% 54.19/54.44  leq(antidomain(A) addition multiplication(coantidomain(B),C),c(A) addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1221]
% 54.19/54.44  leq(multiplication(coantidomain(A),antidomain(B)) addition C,c(B) addition C)
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1224]
% 54.19/54.44  multiplication(multiplication(c(A),B),multiplication(coantidomain(multiplication(
% 54.19/54.44                                                                    antidomain(A),B)),C))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1225]
% 54.19/54.44  multiplication(multiplication(antidomain(coantidomain(A)),B),multiplication(
% 54.19/54.44                                                               coantidomain(
% 54.19/54.44                                                               backward_diamond(B,A)),C))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1227]
% 54.19/54.44  multiplication(multiplication(A,c(B)),multiplication(C,coantidomain(multiplication(
% 54.19/54.44                                                                      antidomain(B),C))))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1229]
% 54.19/54.44  multiplication(multiplication(multiplication(A,c(B)),C),coantidomain(
% 54.19/54.44                                                          multiplication(
% 54.19/54.44                                                          antidomain(B),C))) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule [1234] forward_diamond(antidomain(A),A) -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1235] forward_diamond(antidomain(B) addition A,B) -> forward_diamond(A,B)
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [1236] forward_diamond(multiplication(c(A),antidomain(B)),A) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1239]
% 54.19/54.44  forward_diamond(c(c(A)) addition B,antidomain(A)) ->
% 54.19/54.44  forward_diamond(B,antidomain(A)) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1240]
% 54.19/54.44  forward_diamond(multiplication(c(B),antidomain(C)) addition A,B) ->
% 54.19/54.44  forward_diamond(A,B) collapsed.
% 54.19/54.44  Rule [1244] antidomain(one addition A) -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1245] multiplication(antidomain(A),multiplication(codomain(B),A)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1246]
% 54.19/54.44  multiplication(antidomain(A),multiplication(coantidomain(B),A)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1247] multiplication(multiplication(A,antidomain(B addition C)),B) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1248] multiplication(antidomain(A addition B),multiplication(A,C)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1249] multiplication(antidomain(A),multiplication(antidomain(B),A)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [1250] multiplication(antidomain(c(A) addition B),antidomain(A)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1251]
% 54.19/54.44  codomain(A) addition antidomain(coantidomain(A) addition B) -> codomain(A)
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1252]
% 54.19/54.44  multiplication(antidomain(A addition B),multiplication(coantidomain(C),A)) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1253]
% 54.19/54.44  multiplication(antidomain(A addition B),multiplication(codomain(C),A)) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1254]
% 54.19/54.44  multiplication(antidomain(A addition B),multiplication(antidomain(C),A)) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1255]
% 54.19/54.44  antidomain(forward_diamond(antidomain(c(A) addition B),antidomain(A))) -> one
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule [1263] multiplication(antidomain(A),coantidomain(c(A))) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1264]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B)),coantidomain(A)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1265] multiplication(antidomain(A),coantidomain(c(A) addition B)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1270]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B)),coantidomain(A addition C)) ->
% 54.19/54.44  zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1271]
% 54.19/54.44  multiplication(antidomain(codomain(A) addition B),coantidomain(A)) ->
% 54.19/54.44  antidomain(codomain(A) addition B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1272]
% 54.19/54.44  multiplication(antidomain(coantidomain(A) addition B),codomain(A)) ->
% 54.19/54.44  antidomain(coantidomain(A) addition B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1273]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B addition C)),multiplication(B,X0))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1274]
% 54.19/54.44  multiplication(antidomain(A addition B),multiplication(multiplication(A,C),X0))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1280]
% 54.19/54.44  codomain(antidomain(A) addition B) addition antidomain(A) ->
% 54.19/54.44  codomain(antidomain(A) addition B) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1283] leq(multiplication(A,antidomain(B)),multiplication(A,c(B))) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1287]
% 54.19/54.44  leq(antidomain(multiplication(A,c(B))),antidomain(forward_diamond(A,antidomain(B))))
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1288]
% 54.19/54.44  leq(multiplication(A,antidomain(B)),multiplication(A,c(B)) addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule [1289] multiplication(antidomain(A),c(A)) -> antidomain(A) collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1290]
% 54.19/54.44  multiplication(antidomain(multiplication(A,c(B))),multiplication(A,antidomain(B)))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1291]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 54.19/54.44                                                              c(B)))) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1292] leq(multiplication(antidomain(A),B),multiplication(c(A),B)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1293]
% 54.19/54.44  multiplication(antidomain(A),multiplication(coantidomain(c(A)),B)) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1294]
% 54.19/54.44  leq(multiplication(antidomain(A),B),multiplication(c(A),B) addition C) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1298]
% 54.19/54.44  multiplication(antidomain(multiplication(c(A),B)),multiplication(antidomain(A),B))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1299]
% 54.19/54.44  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 54.19/54.44                                                              c(A),B))) -> zero
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1300] leq(antidomain(A) addition antidomain(B),c(A) addition c(B)) -> true
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1301]
% 54.19/54.44  leq(one,antidomain(multiplication(antidomain(antidomain(A) addition B),c(A))))
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1302]
% 54.19/54.44  antidomain(multiplication(A,forward_diamond(coantidomain(A),B))) -> one
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1303] antidomain(multiplication(antidomain(A),forward_diamond(A,B))) -> one
% 54.19/54.44  collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1304]
% 54.19/54.44  antidomain(multiplication(coantidomain(A),forward_diamond(codomain(A),B))) ->
% 54.19/54.44  one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1305]
% 54.19/54.44  antidomain(multiplication(multiplication(A,B),forward_diamond(coantidomain(B),C)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1306]
% 54.19/54.44  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(B,C)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1307]
% 54.19/54.44  antidomain(multiplication(A,forward_diamond(multiplication(coantidomain(A),B),C)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1308]
% 54.19/54.44  antidomain(multiplication(antidomain(A),forward_diamond(multiplication(A,B),C)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1309]
% 54.19/54.44  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 54.19/54.44                                                              codomain(B),C)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1310]
% 54.19/54.44  antidomain(multiplication(coantidomain(A),forward_diamond(multiplication(
% 54.19/54.44                                                            codomain(A),B),C)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1311]
% 54.19/54.44  antidomain(multiplication(multiplication(A,B),forward_diamond(multiplication(
% 54.19/54.44                                                                coantidomain(B),C),X0)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1312]
% 54.19/54.44  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(
% 54.19/54.44                                                            multiplication(B,C),X0)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1313]
% 54.19/54.44  forward_diamond(A,B) addition antidomain(multiplication(A,forward_diamond(
% 54.19/54.44                                                            codomain(A),B))) ->
% 54.19/54.44  one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1314]
% 54.19/54.44  multiplication(multiplication(antidomain(multiplication(A,B) addition C),A),
% 54.19/54.44  multiplication(B,X0)) -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1315]
% 54.19/54.44  multiplication(antidomain(multiplication(A,B) addition C),multiplication(A,
% 54.19/54.44                                                            multiplication(B,X0)))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1318]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),multiplication(A,
% 54.19/54.44                                                                    c(B))) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1319]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),multiplication(A,
% 54.19/54.44                                                                  c(B))) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1320]
% 54.19/54.44  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),multiplication(A,
% 54.19/54.44                                                                      c(B))) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1321]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 54.19/54.44                                                                    c(C))) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1322]
% 54.19/54.44  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 54.19/54.44                                                                  c(C))) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1323]
% 54.19/54.44  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 54.19/54.44                                                                      c(C))) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1324]
% 54.19/54.44  multiplication(antidomain(multiplication(A,c(B)) addition C),multiplication(A,
% 54.19/54.44                                                               antidomain(B)))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1325]
% 54.19/54.44  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 54.19/54.44                                                              c(B)) addition C))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1326]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),multiplication(
% 54.19/54.44                                                                    c(A),B)) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1327]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),multiplication(
% 54.19/54.44                                                                  c(A),B)) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1328]
% 54.19/54.44  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),multiplication(
% 54.19/54.44                                                                      c(A),B))
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1329]
% 54.19/54.44  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),multiplication(
% 54.19/54.44                                                                    c(B),C)) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1330]
% 54.19/54.44  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),multiplication(
% 54.19/54.44                                                                  c(B),C)) ->
% 54.19/54.44  true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1331]
% 54.19/54.44  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),multiplication(
% 54.19/54.44                                                                      c(B),C))
% 54.19/54.44  -> true collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1333]
% 54.19/54.44  multiplication(antidomain(multiplication(c(A),B) addition C),multiplication(
% 54.19/54.44                                                               antidomain(A),B))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1334]
% 54.19/54.44  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 54.19/54.44                                                              c(A),B) addition C))
% 54.19/54.44  -> zero collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1335]
% 54.19/54.44  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 54.19/54.44                                                              multiplication(
% 54.19/54.44                                                              codomain(B),C),X0)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1336]
% 54.19/54.44  antidomain(multiplication(antidomain(A addition B),forward_diamond(A,C))) ->
% 54.19/54.44  one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1337]
% 54.19/54.44  antidomain(multiplication(A,forward_diamond(coantidomain(A addition B),C)))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1341]
% 54.19/54.44  antidomain(multiplication(codomain(A),forward_diamond(coantidomain(A),B))) ->
% 54.19/54.44  one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1347]
% 54.19/54.44  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,antidomain(A))))
% 54.19/54.44  -> one collapsed.
% 54.19/54.44  Rule
% 54.19/54.44  [1351]
% 54.19/54.44  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 59.19/59.35                                                           backward_diamond(B,
% 59.19/59.35                                                           coantidomain(A))))
% 59.19/59.35  -> zero collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1357]
% 59.19/59.35  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),antidomain(
% 59.19/59.35                                                                      multiplication(A,B))))
% 59.19/59.35  -> one collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1360]
% 59.19/59.35  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 59.19/59.35                                                                     antidomain(A)))))
% 59.19/59.35  -> one collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1362]
% 59.19/59.35  coantidomain(backward_diamond(multiplication(A,B),multiplication(antidomain(
% 59.19/59.35                                                                   multiplication(C,A)),C)))
% 59.19/59.35  -> one collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1363]
% 59.19/59.35  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 59.19/59.35                                                                      antidomain(A))))
% 59.19/59.35  -> one collapsed.
% 59.19/59.35  Rule [1364] coantidomain(backward_diamond(A,antidomain(A addition B))) -> one
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1367]
% 59.19/59.35  multiplication(antidomain(coantidomain(backward_diamond(A,B))),coantidomain(
% 59.19/59.35                                                                 multiplication(B,A)))
% 59.19/59.35  -> zero collapsed.
% 59.19/59.35  Rule [1368] backward_diamond(A,antidomain(A)) -> zero collapsed.
% 59.19/59.35  Rule [1370] backward_diamond(A,multiplication(B,antidomain(A))) -> zero
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1372]
% 59.19/59.35  coantidomain(backward_diamond(antidomain(A),multiplication(B,c(c(A))))) ->
% 59.19/59.35  one collapsed.
% 59.19/59.35  Rule [1374] backward_diamond(multiplication(A,B),antidomain(A)) -> zero
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1375]
% 59.19/59.35  coantidomain(backward_diamond(multiplication(antidomain(A),B),c(c(A)))) ->
% 59.19/59.35  one collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1376]
% 59.19/59.35  antidomain(multiplication(multiplication(A,codomain(B)),forward_diamond(
% 59.19/59.35                                                          coantidomain(B),C)))
% 59.19/59.35  -> one collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1377]
% 59.19/59.35  antidomain(multiplication(codomain(A),forward_diamond(multiplication(
% 59.19/59.35                                                        coantidomain(A),B),C)))
% 59.19/59.35  -> one collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1380]
% 59.19/59.35  codomain(c(A)) addition coantidomain(backward_diamond(antidomain(A),c(A))) ->
% 59.19/59.35  one collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1381]
% 59.19/59.35  codomain(antidomain(A)) addition coantidomain(backward_diamond(antidomain(A),
% 59.19/59.35                                                antidomain(A))) -> one
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1384]
% 59.19/59.35  leq(coantidomain(c(A)),coantidomain(backward_diamond(antidomain(A),c(A)))) ->
% 59.19/59.35  true collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1385]
% 59.19/59.35  leq(coantidomain(antidomain(A)),coantidomain(backward_diamond(antidomain(A),
% 59.19/59.35                                               antidomain(A)))) -> true
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1393]
% 59.19/59.35  c(A) addition multiplication(antidomain(A),forward_diamond(B,C)) -> c(A)
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1400]
% 59.19/59.35  c(A) addition multiplication(forward_diamond(B,C),antidomain(A)) -> c(A)
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1402]
% 59.19/59.35  multiplication(antidomain(A),multiplication(forward_diamond(B,C),A)) -> zero
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule [1403] c(A) addition multiplication(antidomain(A),c(B)) -> c(A)
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1410] multiplication(multiplication(A,c(B)),antidomain(C)) addition A -> A
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1411] multiplication(multiplication(A,antidomain(B)),c(C)) addition A -> A
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1412] multiplication(antidomain(B),multiplication(A,c(C))) addition A -> A
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1413] multiplication(multiplication(antidomain(A),B),c(C)) addition B -> B
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1418] leq(multiplication(multiplication(A,c(B)),antidomain(C)),A) -> true
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule
% 59.19/59.35  [1421] leq(multiplication(antidomain(A),multiplication(B,c(C))),B) -> true
% 59.19/59.35  collapsed.
% 59.19/59.35  Rule [1426] c(A) addition multiplication(c(B),antidomain(A)) -> c(A)
% 59.19/59.35  collapsed.
% 59.19/59.35  Current number of equations to process: 1734
% 59.19/59.35  Current number of ordered equations: 0
% 59.19/59.35  Current number of rules: 607
% 59.19/59.35  New rule produced :
% 59.19/59.35  [1429]
% 59.19/59.35  c(forward_diamond(X0,X1)) addition c(multiplication(X0,X1)) ->
% 59.19/59.35  c(forward_diamond(X0,X1))
% 59.19/59.35  Current number of equations to process: 1733
% 59.19/59.35  Current number of ordered equations: 0
% 59.19/59.35  Current number of rules: 608
% 59.19/59.35  New rule produced : [1430] c(one addition A) -> zero
% 59.19/59.35  Current number of equations to process: 1732
% 59.19/59.35  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 609
% 59.29/59.53  New rule produced : [1431] backward_diamond(A,c(A)) -> zero
% 59.29/59.53  Current number of equations to process: 1731
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 610
% 59.29/59.53  New rule produced : [1432] multiplication(multiplication(A,c(B)),B) -> zero
% 59.29/59.53  Rule [660] multiplication(multiplication(A,c(c(B))),c(B)) -> zero collapsed.
% 59.29/59.53  Current number of equations to process: 1731
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 610
% 59.29/59.53  New rule produced : [1433] multiplication(c(A addition B),A) -> zero
% 59.29/59.53  Current number of equations to process: 1730
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 611
% 59.29/59.53  New rule produced : [1434] leq(c(A),codomain(c(A))) -> true
% 59.29/59.53  Current number of equations to process: 1729
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 612
% 59.29/59.53  New rule produced : [1435] leq(c(codomain(A)),coantidomain(A)) -> true
% 59.29/59.53  Current number of equations to process: 1728
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 613
% 59.29/59.53  New rule produced : [1436] leq(c(coantidomain(A)),codomain(A)) -> true
% 59.29/59.53  Current number of equations to process: 1727
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 614
% 59.29/59.53  New rule produced : [1437] backward_diamond(A,multiplication(B,c(A))) -> zero
% 59.29/59.53  Current number of equations to process: 1726
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 615
% 59.29/59.53  New rule produced : [1438] backward_diamond(multiplication(A,B),c(A)) -> zero
% 59.29/59.53  Current number of equations to process: 1725
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 616
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1439] c(codomain(A)) addition coantidomain(A) -> coantidomain(A)
% 59.29/59.53  Current number of equations to process: 1724
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 617
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1440] c(coantidomain(A)) addition codomain(A) -> codomain(A)
% 59.29/59.53  Current number of equations to process: 1723
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 618
% 59.29/59.53  New rule produced : [1441] c(forward_diamond(A,coantidomain(A))) -> one
% 59.29/59.53  Current number of equations to process: 1722
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 619
% 59.29/59.53  New rule produced : [1442] c(A) addition codomain(c(A)) -> codomain(c(A))
% 59.29/59.53  Current number of equations to process: 1724
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 620
% 59.29/59.53  New rule produced : [1443] leq(multiplication(c(A),c(B)),one) -> true
% 59.29/59.53  Current number of equations to process: 1723
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 621
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1444] multiplication(c(A),multiplication(codomain(B),A)) -> zero
% 59.29/59.53  Current number of equations to process: 1721
% 59.29/59.53  Current number of ordered equations: 1
% 59.29/59.53  Current number of rules: 622
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1445] multiplication(c(A),multiplication(coantidomain(B),A)) -> zero
% 59.29/59.53  Current number of equations to process: 1721
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 623
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1446] multiplication(c(A),multiplication(c(B),A)) -> zero
% 59.29/59.53  Current number of equations to process: 1720
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 624
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1447] c(forward_diamond(A,multiplication(coantidomain(A),c(c(B))))) -> one
% 59.29/59.53  Current number of equations to process: 1719
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 625
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1448] c(forward_diamond(c(A),multiplication(A,c(c(B))))) -> one
% 59.29/59.53  Current number of equations to process: 1718
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 626
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1449] coantidomain(backward_diamond(A,c(A addition B))) -> one
% 59.29/59.53  Current number of equations to process: 1717
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 627
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1450] multiplication(c(c(A)),coantidomain(c(A))) -> coantidomain(c(A))
% 59.29/59.53  Current number of equations to process: 1715
% 59.29/59.53  Current number of ordered equations: 0
% 59.29/59.53  Current number of rules: 628
% 59.29/59.53  New rule produced :
% 59.29/59.53  [1451] c(forward_diamond(codomain(A),coantidomain(A))) -> one
% 59.29/59.53  Current number of equations to process: 1734
% 59.29/59.53  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 629
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1452] leq(multiplication(forward_diamond(A,B),c(C)),one) -> true
% 59.50/59.68  Current number of equations to process: 1733
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 630
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1453] leq(multiplication(backward_diamond(A,B),c(C)),one) -> true
% 59.50/59.68  Current number of equations to process: 1732
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 631
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1454] leq(multiplication(c(A),forward_diamond(B,C)),one) -> true
% 59.50/59.68  Current number of equations to process: 1731
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 632
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1455] leq(multiplication(c(A),backward_diamond(B,C)),one) -> true
% 59.50/59.68  Current number of equations to process: 1730
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 633
% 59.50/59.68  New rule produced : [1456] leq(c(A),codomain(c(A)) addition B) -> true
% 59.50/59.68  Current number of equations to process: 1729
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 634
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1457] leq(c(codomain(A)),coantidomain(A) addition B) -> true
% 59.50/59.68  Current number of equations to process: 1728
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 635
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1458] leq(c(coantidomain(A)),codomain(A) addition B) -> true
% 59.50/59.68  Current number of equations to process: 1727
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 636
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1459] multiplication(multiplication(A,c(B addition C)),B) -> zero
% 59.50/59.68  Current number of equations to process: 1726
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 637
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1460] multiplication(c(A addition B),multiplication(A,C)) -> zero
% 59.50/59.68  Current number of equations to process: 1725
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 638
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1461]
% 59.50/59.68  c(forward_diamond(coantidomain(A),multiplication(codomain(A),c(c(B))))) ->
% 59.50/59.68  one
% 59.50/59.68  Current number of equations to process: 1723
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 639
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1462]
% 59.50/59.68  c(forward_diamond(codomain(A),multiplication(coantidomain(A),c(c(B))))) ->
% 59.50/59.68  one
% 59.50/59.68  Current number of equations to process: 1722
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 640
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1463] multiplication(c(A),multiplication(forward_diamond(B,C),A)) -> zero
% 59.50/59.68  Current number of equations to process: 1721
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 641
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1464] multiplication(c(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 59.50/59.68  Current number of equations to process: 1720
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 642
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1465] multiplication(c(A),multiplication(c(A),B)) -> multiplication(c(A),B)
% 59.50/59.68  Current number of equations to process: 1719
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 643
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1466] multiplication(multiplication(A,c(B)),c(B)) -> multiplication(A,c(B))
% 59.50/59.68  Rule
% 59.50/59.68  [784]
% 59.50/59.68  multiplication(multiplication(A,c(c(B))),c(c(B))) ->
% 59.50/59.68  multiplication(A,c(c(B))) collapsed.
% 59.50/59.68  Current number of equations to process: 1718
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 643
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1467] c(coantidomain(A) addition B) addition codomain(A) -> codomain(A)
% 59.50/59.68  Current number of equations to process: 1717
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 644
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1468] c(forward_diamond(multiplication(A,B),coantidomain(B))) -> one
% 59.50/59.68  Current number of equations to process: 1724
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 645
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1469] c(forward_diamond(A,multiplication(coantidomain(A),B))) -> one
% 59.50/59.68  Rule
% 59.50/59.68  [1447] c(forward_diamond(A,multiplication(coantidomain(A),c(c(B))))) -> one
% 59.50/59.68  collapsed.
% 59.50/59.68  Current number of equations to process: 1723
% 59.50/59.68  Current number of ordered equations: 0
% 59.50/59.68  Current number of rules: 645
% 59.50/59.68  New rule produced :
% 59.50/59.68  [1470] c(forward_diamond(c(A),multiplication(A,B))) -> one
% 59.50/59.68  Rule [1448] c(forward_diamond(c(A),multiplication(A,c(c(B))))) -> one
% 59.50/59.68  collapsed.
% 59.50/59.68  Current number of equations to process: 1722
% 59.50/59.68  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 645
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1471] multiplication(multiplication(A,c(B)),c(C)) addition A -> A
% 60.19/60.37  Rule [777] multiplication(multiplication(A,c(c(B))),c(c(C))) addition A -> A
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1825
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 645
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1472] multiplication(multiplication(c(A),B),c(C)) addition B -> B
% 60.19/60.37  Rule [778] multiplication(multiplication(c(c(A)),B),c(c(C))) addition B -> B
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1824
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 645
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1473] multiplication(c(A),multiplication(B,c(C))) addition B -> B
% 60.19/60.37  Rule [779] multiplication(c(c(A)),multiplication(B,c(c(C)))) addition B -> B
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1823
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 645
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1474]
% 60.19/60.37  multiplication(multiplication(A,c(B)),coantidomain(A addition C)) -> zero
% 60.19/60.37  Current number of equations to process: 1822
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1475] multiplication(c(A),multiplication(B,codomain(C))) addition B -> B
% 60.19/60.37  Rule
% 60.19/60.37  [707] multiplication(c(c(A)),multiplication(B,codomain(C))) addition B -> B
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1819
% 60.19/60.37  Current number of ordered equations: 1
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1476] multiplication(c(A),multiplication(B,coantidomain(C))) addition B -> B
% 60.19/60.37  Rule
% 60.19/60.37  [706]
% 60.19/60.37  multiplication(c(c(A)),multiplication(B,coantidomain(C))) addition B -> B
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1819
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1477] multiplication(c(A),multiplication(c(B),C)) addition C -> C
% 60.19/60.37  Rule [780] multiplication(c(c(A)),multiplication(c(c(B)),C)) addition C -> C
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1818
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1478] multiplication(c(A),multiplication(codomain(B),C)) addition C -> C
% 60.19/60.37  Rule
% 60.19/60.37  [710] multiplication(c(c(A)),multiplication(codomain(B),C)) addition C -> C
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1815
% 60.19/60.37  Current number of ordered equations: 1
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1479] multiplication(c(A),multiplication(coantidomain(B),C)) addition C -> C
% 60.19/60.37  Rule
% 60.19/60.37  [709]
% 60.19/60.37  multiplication(c(c(A)),multiplication(coantidomain(B),C)) addition C -> C
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1815
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1480] multiplication(multiplication(c(A),B),codomain(C)) addition B -> B
% 60.19/60.37  Rule
% 60.19/60.37  [716] multiplication(multiplication(c(c(A)),B),codomain(C)) addition B -> B
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1814
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1481] multiplication(codomain(A),multiplication(c(B),C)) addition C -> C
% 60.19/60.37  Rule
% 60.19/60.37  [718] multiplication(codomain(A),multiplication(c(c(B)),C)) addition C -> C
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1813
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1482] multiplication(multiplication(c(A),B),coantidomain(C)) addition B -> B
% 60.19/60.37  Rule
% 60.19/60.37  [720]
% 60.19/60.37  multiplication(multiplication(c(c(A)),B),coantidomain(C)) addition B -> B
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1812
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1483] multiplication(coantidomain(A),multiplication(c(B),C)) addition C -> C
% 60.19/60.37  Rule
% 60.19/60.37  [722]
% 60.19/60.37  multiplication(coantidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 60.19/60.37  collapsed.
% 60.19/60.37  Current number of equations to process: 1811
% 60.19/60.37  Current number of ordered equations: 0
% 60.19/60.37  Current number of rules: 646
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1484] leq(multiplication(multiplication(A,codomain(B)),c(C)),A) -> true
% 60.19/60.37  Current number of equations to process: 1809
% 60.19/60.37  Current number of ordered equations: 1
% 60.19/60.37  Current number of rules: 647
% 60.19/60.37  New rule produced :
% 60.19/60.37  [1485] leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A) -> true
% 60.42/60.62  Current number of equations to process: 1809
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 648
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1486] leq(multiplication(multiplication(codomain(A),B),c(C)),B) -> true
% 60.42/60.62  Current number of equations to process: 1807
% 60.42/60.62  Current number of ordered equations: 1
% 60.42/60.62  Current number of rules: 649
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1487] leq(multiplication(multiplication(coantidomain(A),B),c(C)),B) -> true
% 60.42/60.62  Current number of equations to process: 1807
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 650
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1488] leq(multiplication(multiplication(A,c(B)),c(C)),A) -> true
% 60.42/60.62  Current number of equations to process: 1806
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 651
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1489] leq(multiplication(multiplication(c(A),B),c(C)),B) -> true
% 60.42/60.62  Current number of equations to process: 1805
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 652
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1490] leq(multiplication(multiplication(c(A),B),codomain(C)),B) -> true
% 60.42/60.62  Current number of equations to process: 1804
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 653
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1491] leq(multiplication(multiplication(c(A),B),coantidomain(C)),B) -> true
% 60.42/60.62  Current number of equations to process: 1803
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 654
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1492] leq(multiplication(c(A),multiplication(B,codomain(C))),B) -> true
% 60.42/60.62  Current number of equations to process: 1801
% 60.42/60.62  Current number of ordered equations: 1
% 60.42/60.62  Current number of rules: 655
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1493] leq(multiplication(c(A),multiplication(B,coantidomain(C))),B) -> true
% 60.42/60.62  Current number of equations to process: 1801
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 656
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1494] leq(multiplication(c(A),multiplication(codomain(B),C)),C) -> true
% 60.42/60.62  Current number of equations to process: 1799
% 60.42/60.62  Current number of ordered equations: 1
% 60.42/60.62  Current number of rules: 657
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1495] leq(multiplication(c(A),multiplication(coantidomain(B),C)),C) -> true
% 60.42/60.62  Current number of equations to process: 1799
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 658
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1496] leq(multiplication(c(A),c(B)),one addition C) -> true
% 60.42/60.62  Current number of equations to process: 1798
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 659
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1497] leq(multiplication(c(A),multiplication(B,c(C))),B) -> true
% 60.42/60.62  Current number of equations to process: 1797
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 660
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1498] leq(multiplication(c(A),multiplication(c(B),C)),C) -> true
% 60.42/60.62  Current number of equations to process: 1796
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 661
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1499] leq(multiplication(codomain(A),multiplication(c(B),C)),C) -> true
% 60.42/60.62  Current number of equations to process: 1795
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 662
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1500] leq(multiplication(coantidomain(A),multiplication(c(B),C)),C) -> true
% 60.42/60.62  Current number of equations to process: 1794
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 663
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1501]
% 60.42/60.62  multiplication(c(A addition B),multiplication(coantidomain(C),A)) -> zero
% 60.42/60.62  Current number of equations to process: 1792
% 60.42/60.62  Current number of ordered equations: 1
% 60.42/60.62  Current number of rules: 664
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1502] multiplication(c(A addition B),multiplication(codomain(C),A)) -> zero
% 60.42/60.62  Current number of equations to process: 1792
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 665
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1503] multiplication(c(A addition B),multiplication(c(C),A)) -> zero
% 60.42/60.62  Current number of equations to process: 1791
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 666
% 60.42/60.62  New rule produced : [1504] c(forward_diamond(c(c(A) addition B),c(A))) -> one
% 60.42/60.62  Current number of equations to process: 1790
% 60.42/60.62  Current number of ordered equations: 0
% 60.42/60.62  Current number of rules: 667
% 60.42/60.62  New rule produced :
% 60.42/60.62  [1505]
% 60.42/60.62  c(forward_diamond(multiplication(A,B),multiplication(coantidomain(B),c(c(C)))))
% 63.48/63.64  -> one
% 63.48/63.64  Current number of equations to process: 1788
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 668
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1506]
% 63.48/63.64  c(forward_diamond(multiplication(A,c(B)),multiplication(B,c(c(C))))) -> one
% 63.48/63.64  Current number of equations to process: 1787
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 669
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1507]
% 63.48/63.64  c(forward_diamond(A,multiplication(multiplication(coantidomain(A),B),c(c(C)))))
% 63.48/63.64  -> one
% 63.48/63.64  Current number of equations to process: 1786
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 670
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1508]
% 63.48/63.64  c(forward_diamond(c(A),multiplication(multiplication(A,B),c(c(C))))) -> one
% 63.48/63.64  Current number of equations to process: 1785
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 671
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1509] c(forward_diamond(c(A addition B),multiplication(A,c(c(C))))) -> one
% 63.48/63.64  Current number of equations to process: 1784
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 672
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1510]
% 63.48/63.64  c(forward_diamond(A,multiplication(coantidomain(A addition B),c(c(C))))) ->
% 63.48/63.64  one
% 63.48/63.64  Current number of equations to process: 1783
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 673
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1511]
% 63.48/63.64  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,c(A)))) ->
% 63.48/63.64  one
% 63.48/63.64  Current number of equations to process: 1782
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 674
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1512]
% 63.48/63.64  one addition multiplication(backward_diamond(A,B),backward_diamond(C,X0)) ->
% 63.48/63.64  one
% 63.48/63.64  Current number of equations to process: 1821
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 675
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1513] forward_diamond(multiplication(c(A),backward_diamond(B,C)),A) -> zero
% 63.48/63.64  Current number of equations to process: 1873
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 676
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1514]
% 63.48/63.64  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A)) ->
% 63.48/63.64  zero
% 63.48/63.64  Current number of equations to process: 1872
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 677
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1515]
% 63.48/63.64  multiplication(A,multiplication(coantidomain(B),codomain(C))) addition A -> A
% 63.48/63.64  Current number of equations to process: 2102
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 678
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1516]
% 63.48/63.64  multiplication(multiplication(coantidomain(B),codomain(C)),A) addition A -> A
% 63.48/63.64  Current number of equations to process: 2101
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 679
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1517]
% 63.48/63.64  multiplication(A,multiplication(codomain(B),codomain(C))) addition A -> A
% 63.48/63.64  Current number of equations to process: 2219
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 680
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1518]
% 63.48/63.64  multiplication(multiplication(codomain(B),codomain(C)),A) addition A -> A
% 63.48/63.64  Current number of equations to process: 2218
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 681
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1519] multiplication(A,multiplication(c(B),codomain(C))) addition A -> A
% 63.48/63.64  Current number of equations to process: 2338
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 682
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1520] multiplication(multiplication(c(B),codomain(C)),A) addition A -> A
% 63.48/63.64  Current number of equations to process: 2337
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 683
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1521] multiplication(forward_diamond(A,B),c(forward_diamond(A,B))) -> zero
% 63.48/63.64  Current number of equations to process: 2457
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 684
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1522]
% 63.48/63.64  forward_diamond(c(forward_diamond(A,B)),multiplication(A,c(c(B)))) -> zero
% 63.48/63.64  Current number of equations to process: 2456
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 685
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1523] forward_diamond(multiplication(c(forward_diamond(A,B)),A),B) -> zero
% 63.48/63.64  Current number of equations to process: 2455
% 63.48/63.64  Current number of ordered equations: 0
% 63.48/63.64  Current number of rules: 686
% 63.48/63.64  New rule produced :
% 63.48/63.64  [1524]
% 63.48/63.64  multiplication(multiplication(A,c(coantidomain(B))),codomain(B)) ->
% 65.36/65.53  multiplication(A,c(coantidomain(B)))
% 65.36/65.53  Current number of equations to process: 2453
% 65.36/65.53  Current number of ordered equations: 1
% 65.36/65.53  Current number of rules: 687
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1525]
% 65.36/65.53  multiplication(multiplication(A,c(codomain(B))),coantidomain(B)) ->
% 65.36/65.53  multiplication(A,c(codomain(B)))
% 65.36/65.53  Current number of equations to process: 2453
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 688
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1526]
% 65.36/65.53  codomain(B) addition multiplication(c(A),coantidomain(B)) ->
% 65.36/65.53  c(A) addition codomain(B)
% 65.36/65.53  Rule
% 65.36/65.53  [1064]
% 65.36/65.53  codomain(A) addition multiplication(c(c(B)),coantidomain(A)) ->
% 65.36/65.53  c(c(B)) addition codomain(A) collapsed.
% 65.36/65.53  Current number of equations to process: 2452
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 688
% 65.36/65.53  Rule [1070]
% 65.36/65.53       c(A) addition multiplication(codomain(B),c(c(A))) <->
% 65.36/65.53       codomain(B) addition multiplication(coantidomain(B),c(A)) is composed into 
% 65.36/65.53  [1070]
% 65.36/65.53  c(A) addition multiplication(codomain(B),c(c(A))) ->
% 65.36/65.53  c(A) addition codomain(B)
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1527]
% 65.36/65.53  codomain(A) addition multiplication(coantidomain(A),c(B)) ->
% 65.36/65.53  c(B) addition codomain(A)
% 65.36/65.53  Rule
% 65.36/65.53  [1062]
% 65.36/65.53  codomain(A) addition multiplication(coantidomain(A),c(c(B))) ->
% 65.36/65.53  c(c(B)) addition codomain(A) collapsed.
% 65.36/65.53  Rule
% 65.36/65.53  [1072]
% 65.36/65.53  codomain(B) addition multiplication(coantidomain(B),c(A)) <->
% 65.36/65.53  c(A) addition multiplication(codomain(B),c(c(A))) collapsed.
% 65.36/65.53  Current number of equations to process: 2451
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 687
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1528]
% 65.36/65.53  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(C,X0))
% 65.36/65.53  -> zero
% 65.36/65.53  Rule
% 65.36/65.53  [1194]
% 65.36/65.53  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 65.36/65.53                                                             c(C),X0)) -> zero
% 65.36/65.53  collapsed.
% 65.36/65.53  Current number of equations to process: 2450
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 687
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1529]
% 65.36/65.53  multiplication(multiplication(A,c(B)),multiplication(multiplication(B,C),X0))
% 65.36/65.53  -> zero
% 65.36/65.53  Rule
% 65.36/65.53  [1196]
% 65.36/65.53  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 65.36/65.53                                                          c(B),C),X0)) -> zero
% 65.36/65.53  collapsed.
% 65.36/65.53  Current number of equations to process: 2448
% 65.36/65.53  Current number of ordered equations: 1
% 65.36/65.53  Current number of rules: 687
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1530]
% 65.36/65.53  multiplication(multiplication(c(multiplication(A,B)),A),multiplication(B,C))
% 65.36/65.53  -> zero
% 65.36/65.53  Current number of equations to process: 2448
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 688
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1531]
% 65.36/65.53  multiplication(A,multiplication(codomain(B),coantidomain(C))) addition A -> A
% 65.36/65.53  Current number of equations to process: 2571
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 689
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1532]
% 65.36/65.53  multiplication(multiplication(codomain(B),coantidomain(C)),A) addition A -> A
% 65.36/65.53  Current number of equations to process: 2570
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 690
% 65.36/65.53  Rule [1071]
% 65.36/65.53       c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 65.36/65.53       coantidomain(B) addition multiplication(codomain(B),c(A)) is composed into 
% 65.36/65.53  [1071]
% 65.36/65.53  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 65.36/65.53  c(A) addition coantidomain(B)
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1533]
% 65.36/65.53  coantidomain(A) addition multiplication(codomain(A),c(B)) ->
% 65.36/65.53  c(B) addition coantidomain(A)
% 65.36/65.53  Rule
% 65.36/65.53  [1063]
% 65.36/65.53  coantidomain(A) addition multiplication(codomain(A),c(c(B))) ->
% 65.36/65.53  c(c(B)) addition coantidomain(A) collapsed.
% 65.36/65.53  Current number of equations to process: 2847
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 690
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1534]
% 65.36/65.53  coantidomain(A) addition multiplication(c(B),codomain(A)) ->
% 65.36/65.53  c(B) addition coantidomain(A)
% 65.36/65.53  Rule
% 65.36/65.53  [1065]
% 65.36/65.53  coantidomain(A) addition multiplication(c(c(B)),codomain(A)) ->
% 65.36/65.53  c(c(B)) addition coantidomain(A) collapsed.
% 65.36/65.53  Current number of equations to process: 2846
% 65.36/65.53  Current number of ordered equations: 0
% 65.36/65.53  Current number of rules: 690
% 65.36/65.53  New rule produced :
% 65.36/65.53  [1535]
% 65.36/65.53  c(forward_diamond(multiplication(A,coantidomain(B)),codomain(B))) -> one
% 65.36/65.53  Current number of equations to process: 2844
% 65.36/65.53  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 691
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1536]
% 65.52/65.75  c(forward_diamond(coantidomain(A),multiplication(codomain(A),B))) -> one
% 65.52/65.75  Rule
% 65.52/65.75  [1461]
% 65.52/65.75  c(forward_diamond(coantidomain(A),multiplication(codomain(A),c(c(B))))) ->
% 65.52/65.75  one collapsed.
% 65.52/65.75  Current number of equations to process: 2843
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 691
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1537]
% 65.52/65.75  forward_diamond(c(forward_diamond(A,c(B))),multiplication(A,c(B))) -> zero
% 65.52/65.75  Current number of equations to process: 2841
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 692
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1538]
% 65.52/65.75  leq(multiplication(A,multiplication(B,c(C))),multiplication(A,B)) -> true
% 65.52/65.75  Current number of equations to process: 2840
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 693
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1539] leq(multiplication(forward_diamond(A,B),c(C)),one addition X0) -> true
% 65.52/65.75  Current number of equations to process: 2839
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 694
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1540]
% 65.52/65.75  leq(multiplication(backward_diamond(A,B),c(C)),one addition X0) -> true
% 65.52/65.75  Current number of equations to process: 2838
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 695
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1541]
% 65.52/65.75  multiplication(c(codomain(A)),multiplication(coantidomain(A),B)) ->
% 65.52/65.75  multiplication(c(codomain(A)),B)
% 65.52/65.75  Current number of equations to process: 2837
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 696
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1542]
% 65.52/65.75  multiplication(c(coantidomain(A)),multiplication(codomain(A),B)) ->
% 65.52/65.75  multiplication(c(coantidomain(A)),B)
% 65.52/65.75  Current number of equations to process: 2836
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 697
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1543]
% 65.52/65.75  multiplication(multiplication(c(coantidomain(A)),B),coantidomain(backward_diamond(B,A)))
% 65.52/65.75  -> zero
% 65.52/65.75  Current number of equations to process: 2835
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 698
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1544]
% 65.52/65.75  leq(multiplication(multiplication(c(A),B),C),multiplication(B,C)) -> true
% 65.52/65.75  Current number of equations to process: 2834
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 699
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1545] leq(multiplication(c(A),forward_diamond(B,C)),one addition X0) -> true
% 65.52/65.75  Current number of equations to process: 2833
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 700
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1546]
% 65.52/65.75  leq(multiplication(c(A),backward_diamond(B,C)),one addition X0) -> true
% 65.52/65.75  Current number of equations to process: 2832
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 701
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1547] leq(c(A) addition B,codomain(c(A)) addition B) -> true
% 65.52/65.75  Current number of equations to process: 2831
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 702
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1548] leq(c(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 65.52/65.75  Current number of equations to process: 2830
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 703
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1549] leq(c(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 65.52/65.75  Current number of equations to process: 2829
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 704
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1550]
% 65.52/65.75  forward_diamond(multiplication(c(B),c(C)) addition A,B) ->
% 65.52/65.75  forward_diamond(A,B)
% 65.52/65.75  Current number of equations to process: 2828
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 705
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1551]
% 65.52/65.75  multiplication(c(coantidomain(A) addition B),codomain(A)) ->
% 65.52/65.75  c(coantidomain(A) addition B)
% 65.52/65.75  Current number of equations to process: 2826
% 65.52/65.75  Current number of ordered equations: 1
% 65.52/65.75  Current number of rules: 706
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1552]
% 65.52/65.75  multiplication(c(codomain(A) addition B),coantidomain(A)) ->
% 65.52/65.75  c(codomain(A) addition B)
% 65.52/65.75  Current number of equations to process: 2826
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 707
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1553]
% 65.52/65.75  multiplication(multiplication(A,c(B addition C)),multiplication(B,X0)) ->
% 65.52/65.75  zero
% 65.52/65.75  Current number of equations to process: 2825
% 65.52/65.75  Current number of ordered equations: 0
% 65.52/65.75  Current number of rules: 708
% 65.52/65.75  New rule produced :
% 65.52/65.75  [1554]
% 65.81/65.98  multiplication(c(A addition B),multiplication(multiplication(A,C),X0)) ->
% 65.81/65.98  zero
% 65.81/65.98  Current number of equations to process: 2824
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 709
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1555] c(A) addition codomain(c(A) addition B) -> codomain(c(A) addition B)
% 65.81/65.98  Current number of equations to process: 2823
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 710
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1556]
% 65.81/65.98  multiplication(c(forward_diamond(A,c(B))),multiplication(A,c(B))) -> zero
% 65.81/65.98  Current number of equations to process: 2822
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 711
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1557]
% 65.81/65.98  c(forward_diamond(multiplication(A,coantidomain(B)),multiplication(codomain(B),
% 65.81/65.98                                                      c(c(C))))) -> one
% 65.81/65.98  Current number of equations to process: 2821
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 712
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1558]
% 65.81/65.98  c(forward_diamond(coantidomain(A),multiplication(multiplication(codomain(A),B),
% 65.81/65.98                                    c(c(C))))) -> one
% 65.81/65.98  Current number of equations to process: 2820
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 713
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1559]
% 65.81/65.98  multiplication(c(coantidomain(backward_diamond(A,B))),coantidomain(multiplication(B,A)))
% 65.81/65.98  -> zero
% 65.81/65.98  Current number of equations to process: 2819
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 714
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1560]
% 65.81/65.98  c(forward_diamond(multiplication(A,codomain(B)),multiplication(coantidomain(B),
% 65.81/65.98                                                  c(c(C))))) -> one
% 65.81/65.98  Current number of equations to process: 2818
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 715
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1561]
% 65.81/65.98  c(forward_diamond(codomain(A),multiplication(multiplication(coantidomain(A),B),
% 65.81/65.98                                c(c(C))))) -> one
% 65.81/65.98  Current number of equations to process: 2817
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 716
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1562]
% 65.81/65.98  codomain(c(A)) addition coantidomain(backward_diamond(c(A),c(A))) -> one
% 65.81/65.98  Current number of equations to process: 2816
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 717
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1563]
% 65.81/65.98  leq(coantidomain(c(A)),coantidomain(backward_diamond(c(A),c(A)))) -> true
% 65.81/65.98  Current number of equations to process: 2815
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 718
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1564]
% 65.81/65.98  coantidomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 65.81/65.98  coantidomain(backward_diamond(multiplication(B,C),coantidomain(A)))
% 65.81/65.98  Current number of equations to process: 2814
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 719
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1565]
% 65.81/65.98  multiplication(multiplication(A,codomain(B)),forward_diamond(C,X0)) addition A
% 65.81/65.98  -> A
% 65.81/65.98  Current number of equations to process: 2812
% 65.81/65.98  Current number of ordered equations: 1
% 65.81/65.98  Current number of rules: 720
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1566]
% 65.81/65.98  multiplication(multiplication(A,coantidomain(B)),forward_diamond(C,X0)) addition A
% 65.81/65.98  -> A
% 65.81/65.98  Current number of equations to process: 2812
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 721
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1567]
% 65.81/65.98  multiplication(multiplication(codomain(A),B),forward_diamond(C,X0)) addition B
% 65.81/65.98  -> B
% 65.81/65.98  Current number of equations to process: 2810
% 65.81/65.98  Current number of ordered equations: 1
% 65.81/65.98  Current number of rules: 722
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1568]
% 65.81/65.98  multiplication(multiplication(coantidomain(A),B),forward_diamond(C,X0)) addition B
% 65.81/65.98  -> B
% 65.81/65.98  Current number of equations to process: 2810
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 723
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1569]
% 65.81/65.98  multiplication(multiplication(A,c(B)),forward_diamond(C,X0)) addition A -> A
% 65.81/65.98  Current number of equations to process: 2808
% 65.81/65.98  Current number of ordered equations: 1
% 65.81/65.98  Current number of rules: 724
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1570]
% 65.81/65.98  multiplication(multiplication(A,forward_diamond(B,C)),c(X0)) addition A -> A
% 65.81/65.98  Current number of equations to process: 2808
% 65.81/65.98  Current number of ordered equations: 0
% 65.81/65.98  Current number of rules: 725
% 65.81/65.98  New rule produced :
% 65.81/65.98  [1571]
% 65.81/65.98  multiplication(c(B),multiplication(A,forward_diamond(C,X0))) addition A -> A
% 66.03/66.20  Current number of equations to process: 2806
% 66.03/66.20  Current number of ordered equations: 1
% 66.03/66.20  Current number of rules: 726
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1572]
% 66.03/66.20  multiplication(multiplication(c(A),B),forward_diamond(C,X0)) addition B -> B
% 66.03/66.20  Current number of equations to process: 2806
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 727
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1573]
% 66.03/66.20  multiplication(multiplication(A,forward_diamond(B,C)),codomain(X0)) addition A
% 66.03/66.20  -> A
% 66.03/66.20  Current number of equations to process: 2804
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 728
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1574]
% 66.03/66.20  multiplication(codomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 66.03/66.20  -> A
% 66.03/66.20  Current number of equations to process: 2802
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 729
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1575]
% 66.03/66.20  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)) addition A
% 66.03/66.20  -> A
% 66.03/66.20  Current number of equations to process: 2800
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 730
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1576]
% 66.03/66.20  multiplication(coantidomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 66.03/66.20  -> A
% 66.03/66.20  Current number of equations to process: 2798
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 731
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1577]
% 66.03/66.20  leq(multiplication(multiplication(A,forward_diamond(B,C)),c(X0)),A) -> true
% 66.03/66.20  Current number of equations to process: 2796
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 732
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1578]
% 66.03/66.20  leq(multiplication(multiplication(A,forward_diamond(B,C)),codomain(X0)),A) ->
% 66.03/66.20  true
% 66.03/66.20  Current number of equations to process: 2795
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 733
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1579]
% 66.03/66.20  leq(multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)),A)
% 66.03/66.20  -> true
% 66.03/66.20  Current number of equations to process: 2794
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 734
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1580]
% 66.03/66.20  leq(multiplication(c(A),multiplication(B,forward_diamond(C,X0))),B) -> true
% 66.03/66.20  Current number of equations to process: 2793
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 735
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1581]
% 66.03/66.20  leq(multiplication(codomain(A),multiplication(B,forward_diamond(C,X0))),B) ->
% 66.03/66.20  true
% 66.03/66.20  Current number of equations to process: 2792
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 736
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1582]
% 66.03/66.20  leq(multiplication(coantidomain(A),multiplication(B,forward_diamond(C,X0))),B)
% 66.03/66.20  -> true
% 66.03/66.20  Current number of equations to process: 2791
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 737
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1583]
% 66.03/66.20  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A addition X0))
% 66.03/66.20  -> zero
% 66.03/66.20  Current number of equations to process: 2790
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 738
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1584]
% 66.03/66.20  multiplication(forward_diamond(A,B),multiplication(C,codomain(X0))) addition C
% 66.03/66.20  -> C
% 66.03/66.20  Current number of equations to process: 2788
% 66.03/66.20  Current number of ordered equations: 1
% 66.03/66.20  Current number of rules: 739
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1585]
% 66.03/66.20  multiplication(forward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 66.03/66.20  -> C
% 66.03/66.20  Current number of equations to process: 2788
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 740
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1586]
% 66.03/66.20  multiplication(forward_diamond(A,B),multiplication(codomain(C),X0)) addition X0
% 66.03/66.20  -> X0
% 66.03/66.20  Current number of equations to process: 2786
% 66.03/66.20  Current number of ordered equations: 1
% 66.03/66.20  Current number of rules: 741
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1587]
% 66.03/66.20  multiplication(forward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 66.03/66.20  -> X0
% 66.03/66.20  Current number of equations to process: 2786
% 66.03/66.20  Current number of ordered equations: 0
% 66.03/66.20  Current number of rules: 742
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1588]
% 66.03/66.20  multiplication(forward_diamond(A,B),multiplication(C,c(X0))) addition C -> C
% 66.03/66.20  Current number of equations to process: 2784
% 66.03/66.20  Current number of ordered equations: 1
% 66.03/66.20  Current number of rules: 743
% 66.03/66.20  New rule produced :
% 66.03/66.20  [1589]
% 66.03/66.20  multiplication(multiplication(forward_diamond(B,C),A),c(X0)) addition A -> A
% 66.03/66.20  Current number of equations to process: 2784
% 66.03/66.20  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 744
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1590]
% 66.27/66.41  multiplication(forward_diamond(A,B),multiplication(c(C),X0)) addition X0 ->
% 66.27/66.41  X0
% 66.27/66.41  Current number of equations to process: 2782
% 66.27/66.41  Current number of ordered equations: 1
% 66.27/66.41  Current number of rules: 745
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1591]
% 66.27/66.41  multiplication(c(B),multiplication(forward_diamond(C,X0),A)) addition A -> A
% 66.27/66.41  Current number of equations to process: 2782
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 746
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1592]
% 66.27/66.41  multiplication(multiplication(forward_diamond(B,C),A),codomain(X0)) addition A
% 66.27/66.41  -> A
% 66.27/66.41  Current number of equations to process: 2780
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 747
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1593]
% 66.27/66.41  multiplication(codomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 66.27/66.41  -> A
% 66.27/66.41  Current number of equations to process: 2778
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 748
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1594]
% 66.27/66.41  multiplication(multiplication(forward_diamond(B,C),A),coantidomain(X0)) addition A
% 66.27/66.41  -> A
% 66.27/66.41  Current number of equations to process: 2776
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 749
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1595]
% 66.27/66.41  multiplication(coantidomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 66.27/66.41  -> A
% 66.27/66.41  Current number of equations to process: 2774
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 750
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1596]
% 66.27/66.41  leq(multiplication(multiplication(forward_diamond(A,B),C),c(X0)),C) -> true
% 66.27/66.41  Current number of equations to process: 2773
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 751
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1597]
% 66.27/66.41  leq(multiplication(multiplication(forward_diamond(A,B),C),codomain(X0)),C) ->
% 66.27/66.41  true
% 66.27/66.41  Current number of equations to process: 2772
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 752
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1598]
% 66.27/66.41  leq(multiplication(multiplication(forward_diamond(A,B),C),coantidomain(X0)),C)
% 66.27/66.41  -> true
% 66.27/66.41  Current number of equations to process: 2771
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 753
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1599]
% 66.27/66.41  leq(multiplication(c(A),multiplication(forward_diamond(B,C),X0)),X0) -> true
% 66.27/66.41  Current number of equations to process: 2770
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 754
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1600]
% 66.27/66.41  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 66.27/66.41  -> true
% 66.27/66.41  Current number of equations to process: 2769
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 755
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1601]
% 66.27/66.41  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 66.27/66.41  -> true
% 66.27/66.41  Current number of equations to process: 2768
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 756
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1602]
% 66.27/66.41  multiplication(c(A addition B),multiplication(forward_diamond(C,X0),A)) ->
% 66.27/66.41  zero
% 66.27/66.41  Current number of equations to process: 2767
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 757
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1603]
% 66.27/66.41  multiplication(multiplication(A,codomain(B)),backward_diamond(C,X0)) addition A
% 66.27/66.41  -> A
% 66.27/66.41  Current number of equations to process: 2750
% 66.27/66.41  Current number of ordered equations: 1
% 66.27/66.41  Current number of rules: 758
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1604]
% 66.27/66.41  multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)) addition A
% 66.27/66.41  -> A
% 66.27/66.41  Current number of equations to process: 2750
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 759
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1605]
% 66.27/66.41  multiplication(multiplication(codomain(A),B),backward_diamond(C,X0)) addition B
% 66.27/66.41  -> B
% 66.27/66.41  Current number of equations to process: 2748
% 66.27/66.41  Current number of ordered equations: 1
% 66.27/66.41  Current number of rules: 760
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1606]
% 66.27/66.41  multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)) addition B
% 66.27/66.41  -> B
% 66.27/66.41  Current number of equations to process: 2748
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 761
% 66.27/66.41  New rule produced :
% 66.27/66.41  [1607]
% 66.27/66.41  multiplication(multiplication(A,backward_diamond(B,C)),codomain(X0)) addition A
% 66.27/66.41  -> A
% 66.27/66.41  Current number of equations to process: 2746
% 66.27/66.41  Current number of ordered equations: 0
% 66.27/66.41  Current number of rules: 762
% 66.27/66.41  New rule produced :
% 66.47/66.63  [1608]
% 66.47/66.63  multiplication(codomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 66.47/66.63  -> A
% 66.47/66.63  Current number of equations to process: 2744
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 763
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1609]
% 66.47/66.63  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)) addition A
% 66.47/66.63  -> A
% 66.47/66.63  Current number of equations to process: 2742
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 764
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1610]
% 66.47/66.63  multiplication(coantidomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 66.47/66.63  -> A
% 66.47/66.63  Current number of equations to process: 2740
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 765
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1611]
% 66.47/66.63  leq(multiplication(multiplication(A,backward_diamond(B,C)),codomain(X0)),A)
% 66.47/66.63  -> true
% 66.47/66.63  Current number of equations to process: 2739
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 766
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1612]
% 66.47/66.63  leq(multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)),A)
% 66.47/66.63  -> true
% 66.47/66.63  Current number of equations to process: 2738
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 767
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1613]
% 66.47/66.63  leq(multiplication(codomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 66.47/66.63  -> true
% 66.47/66.63  Current number of equations to process: 2737
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 768
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1614]
% 66.47/66.63  leq(multiplication(coantidomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 66.47/66.63  -> true
% 66.47/66.63  Current number of equations to process: 2736
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 769
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1615]
% 66.47/66.63  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A addition X0))
% 66.47/66.63  -> zero
% 66.47/66.63  Current number of equations to process: 2735
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 770
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1616]
% 66.47/66.63  multiplication(multiplication(A,backward_diamond(B,C)),c(X0)) addition A -> A
% 66.47/66.63  Current number of equations to process: 2733
% 66.47/66.63  Current number of ordered equations: 1
% 66.47/66.63  Current number of rules: 771
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1617]
% 66.47/66.63  multiplication(multiplication(A,c(B)),backward_diamond(C,X0)) addition A -> A
% 66.47/66.63  Current number of equations to process: 2733
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 772
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1618]
% 66.47/66.63  multiplication(multiplication(c(A),B),backward_diamond(C,X0)) addition B -> B
% 66.47/66.63  Current number of equations to process: 2731
% 66.47/66.63  Current number of ordered equations: 1
% 66.47/66.63  Current number of rules: 773
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1619]
% 66.47/66.63  multiplication(c(B),multiplication(A,backward_diamond(C,X0))) addition A -> A
% 66.47/66.63  Current number of equations to process: 2731
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 774
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1620]
% 66.47/66.63  multiplication(backward_diamond(A,B),multiplication(C,codomain(X0))) addition C
% 66.47/66.63  -> C
% 66.47/66.63  Current number of equations to process: 2729
% 66.47/66.63  Current number of ordered equations: 1
% 66.47/66.63  Current number of rules: 775
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1621]
% 66.47/66.63  multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 66.47/66.63  -> C
% 66.47/66.63  Current number of equations to process: 2729
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 776
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1622]
% 66.47/66.63  multiplication(backward_diamond(A,B),multiplication(codomain(C),X0)) addition X0
% 66.47/66.63  -> X0
% 66.47/66.63  Current number of equations to process: 2727
% 66.47/66.63  Current number of ordered equations: 1
% 66.47/66.63  Current number of rules: 777
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1623]
% 66.47/66.63  multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 66.47/66.63  -> X0
% 66.47/66.63  Current number of equations to process: 2727
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 778
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1624]
% 66.47/66.63  multiplication(multiplication(backward_diamond(B,C),A),codomain(X0)) addition A
% 66.47/66.63  -> A
% 66.47/66.63  Current number of equations to process: 2725
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 779
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1625]
% 66.47/66.63  multiplication(codomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 66.47/66.63  -> A
% 66.47/66.63  Current number of equations to process: 2723
% 66.47/66.63  Current number of ordered equations: 0
% 66.47/66.63  Current number of rules: 780
% 66.47/66.63  New rule produced :
% 66.47/66.63  [1626]
% 66.47/66.63  multiplication(multiplication(backward_diamond(B,C),A),coantidomain(X0)) addition A
% 66.58/66.75  -> A
% 66.58/66.75  Current number of equations to process: 2721
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 781
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1627]
% 66.58/66.75  multiplication(coantidomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 66.58/66.75  -> A
% 66.58/66.75  Current number of equations to process: 2719
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 782
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1628]
% 66.58/66.75  leq(multiplication(multiplication(backward_diamond(A,B),C),codomain(X0)),C)
% 66.58/66.75  -> true
% 66.58/66.75  Current number of equations to process: 2718
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 783
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1629]
% 66.58/66.75  leq(multiplication(multiplication(backward_diamond(A,B),C),coantidomain(X0)),C)
% 66.58/66.75  -> true
% 66.58/66.75  Current number of equations to process: 2717
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 784
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1630]
% 66.58/66.75  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 66.58/66.75  -> true
% 66.58/66.75  Current number of equations to process: 2716
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 785
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1631]
% 66.58/66.75  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 66.58/66.75  -> true
% 66.58/66.75  Current number of equations to process: 2715
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 786
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1632]
% 66.58/66.75  multiplication(backward_diamond(A,B),multiplication(C,c(X0))) addition C -> C
% 66.58/66.75  Current number of equations to process: 2713
% 66.58/66.75  Current number of ordered equations: 1
% 66.58/66.75  Current number of rules: 787
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1633]
% 66.58/66.75  multiplication(multiplication(backward_diamond(B,C),A),c(X0)) addition A -> A
% 66.58/66.75  Current number of equations to process: 2713
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 788
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1634]
% 66.58/66.75  multiplication(backward_diamond(A,B),multiplication(c(C),X0)) addition X0 ->
% 66.58/66.75  X0
% 66.58/66.75  Current number of equations to process: 2711
% 66.58/66.75  Current number of ordered equations: 1
% 66.58/66.75  Current number of rules: 789
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1635]
% 66.58/66.75  multiplication(c(B),multiplication(backward_diamond(C,X0),A)) addition A -> A
% 66.58/66.75  Current number of equations to process: 2711
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 790
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1636]
% 66.58/66.75  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 66.58/66.75               codomain(C)) -> one
% 66.58/66.75  Current number of equations to process: 2710
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 791
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1637]
% 66.58/66.75  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 66.58/66.75                                          codomain(C))) -> one
% 66.58/66.75  Current number of equations to process: 2709
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 792
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1638]
% 66.58/66.75  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 66.58/66.75               coantidomain(C)) -> one
% 66.58/66.75  Current number of equations to process: 2708
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 793
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1639]
% 66.58/66.75  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 66.58/66.75                                              codomain(C))) -> one
% 66.58/66.75  Current number of equations to process: 2707
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 794
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1640]
% 66.58/66.75  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),one) ->
% 66.58/66.75  true
% 66.58/66.75  Current number of equations to process: 2706
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 795
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1641]
% 66.58/66.75  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),one)
% 66.58/66.75  -> true
% 66.58/66.75  Current number of equations to process: 2705
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 796
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1642]
% 66.58/66.75  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one) -> true
% 66.58/66.75  Current number of equations to process: 2704
% 66.58/66.75  Current number of ordered equations: 0
% 66.58/66.75  Current number of rules: 797
% 66.58/66.75  New rule produced :
% 66.58/66.75  [1643]
% 66.58/66.75  leq(multiplication(multiplication(coantidomain(A),codomain(B)),codomain(C)),one)
% 66.58/66.75  -> true
% 66.58/66.75  Current number of equations to process: 2703
% 66.58/66.75  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 798
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1644]
% 66.73/66.88  leq(multiplication(multiplication(coantidomain(A),codomain(B)),coantidomain(C)),one)
% 66.73/66.88  -> true
% 66.73/66.88  Current number of equations to process: 2702
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 799
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1645]
% 66.73/66.88  leq(multiplication(codomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 66.73/66.88  -> true
% 66.73/66.88  Current number of equations to process: 2701
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 800
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1646]
% 66.73/66.88  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 66.73/66.88  -> true
% 66.73/66.88  Current number of equations to process: 2700
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 801
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1647]
% 66.73/66.88  one addition multiplication(multiplication(coantidomain(A),codomain(B)),c(C))
% 66.73/66.88  -> one
% 66.73/66.88  Current number of equations to process: 2697
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 802
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1648]
% 66.73/66.88  one addition multiplication(c(A),multiplication(coantidomain(B),codomain(C)))
% 66.73/66.88  -> one
% 66.73/66.88  Current number of equations to process: 2696
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 803
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1649]
% 66.73/66.88  one addition multiplication(multiplication(codomain(A),codomain(B)),codomain(C))
% 66.73/66.88  -> one
% 66.73/66.88  Current number of equations to process: 2695
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 804
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1650]
% 66.73/66.88  one addition multiplication(codomain(A),multiplication(codomain(B),codomain(C)))
% 66.73/66.88  -> one
% 66.73/66.88  Current number of equations to process: 2694
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 805
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1651]
% 66.73/66.88  one addition multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C))
% 66.73/66.88  -> one
% 66.73/66.88  Current number of equations to process: 2693
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 806
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1652]
% 66.73/66.88  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 66.73/66.88                                              codomain(C))) -> one
% 66.73/66.88  Current number of equations to process: 2692
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 807
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1653]
% 66.73/66.88  leq(codomain(A) addition multiplication(codomain(B),codomain(C)),one) -> true
% 66.73/66.88  Current number of equations to process: 2691
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 808
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1654]
% 66.73/66.88  leq(coantidomain(A) addition multiplication(codomain(B),codomain(C)),one) ->
% 66.73/66.88  true
% 66.73/66.88  Current number of equations to process: 2690
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 809
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1655] leq(c(A) addition multiplication(codomain(B),codomain(C)),one) -> true
% 66.73/66.88  Current number of equations to process: 2689
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 810
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1656]
% 66.73/66.88  leq(multiplication(multiplication(codomain(A),codomain(B)),codomain(C)),one)
% 66.73/66.88  -> true
% 66.73/66.88  Current number of equations to process: 2688
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 811
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1657]
% 66.73/66.88  leq(multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C)),one)
% 66.73/66.88  -> true
% 66.73/66.88  Current number of equations to process: 2687
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 812
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1658]
% 66.73/66.88  leq(multiplication(codomain(A),multiplication(codomain(B),codomain(C))),one)
% 66.73/66.88  -> true
% 66.73/66.88  Current number of equations to process: 2686
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 813
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1659]
% 66.73/66.88  leq(multiplication(coantidomain(A),multiplication(codomain(B),codomain(C))),one)
% 66.73/66.88  -> true
% 66.73/66.88  Current number of equations to process: 2685
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 814
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1660]
% 66.73/66.88  one addition multiplication(multiplication(codomain(A),codomain(B)),c(C)) ->
% 66.73/66.88  one
% 66.73/66.88  Current number of equations to process: 2682
% 66.73/66.88  Current number of ordered equations: 0
% 66.73/66.88  Current number of rules: 815
% 66.73/66.88  New rule produced :
% 66.73/66.88  [1661]
% 66.73/66.88  one addition multiplication(c(A),multiplication(codomain(B),codomain(C))) ->
% 66.73/66.88  one
% 66.73/66.88  Current number of equations to process: 2681
% 66.73/66.88  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 816
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1662]
% 66.89/67.03  one addition multiplication(multiplication(c(A),codomain(B)),codomain(C)) ->
% 66.89/67.03  one
% 66.89/67.03  Current number of equations to process: 2680
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 817
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1663]
% 66.89/67.03  one addition multiplication(codomain(A),multiplication(c(B),codomain(C))) ->
% 66.89/67.03  one
% 66.89/67.03  Current number of equations to process: 2679
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 818
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1664]
% 66.89/67.03  one addition multiplication(multiplication(c(A),codomain(B)),coantidomain(C))
% 66.89/67.03  -> one
% 66.89/67.03  Current number of equations to process: 2678
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 819
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1665]
% 66.89/67.03  one addition multiplication(coantidomain(A),multiplication(c(B),codomain(C)))
% 66.89/67.03  -> one
% 66.89/67.03  Current number of equations to process: 2677
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 820
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1666] leq(codomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 66.89/67.03  Current number of equations to process: 2676
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 821
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1667]
% 66.89/67.03  leq(coantidomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 66.89/67.03  Current number of equations to process: 2675
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 822
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1668] leq(c(A) addition multiplication(c(B),codomain(C)),one) -> true
% 66.89/67.03  Current number of equations to process: 2674
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 823
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1669]
% 66.89/67.03  leq(multiplication(multiplication(c(A),codomain(B)),codomain(C)),one) -> true
% 66.89/67.03  Current number of equations to process: 2673
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 824
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1670]
% 66.89/67.03  leq(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),one) ->
% 66.89/67.03  true
% 66.89/67.03  Current number of equations to process: 2672
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 825
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1671]
% 66.89/67.03  leq(multiplication(codomain(A),multiplication(c(B),codomain(C))),one) -> true
% 66.89/67.03  Current number of equations to process: 2671
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 826
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1672]
% 66.89/67.03  leq(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),one) ->
% 66.89/67.03  true
% 66.89/67.03  Current number of equations to process: 2670
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 827
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1673]
% 66.89/67.03  one addition multiplication(multiplication(c(A),codomain(B)),c(C)) -> one
% 66.89/67.03  Current number of equations to process: 2667
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 828
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1674]
% 66.89/67.03  one addition multiplication(c(A),multiplication(c(B),codomain(C))) -> one
% 66.89/67.03  Current number of equations to process: 2666
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 829
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1675]
% 66.89/67.03  multiplication(A,multiplication(forward_diamond(B,C),codomain(X0))) addition A
% 66.89/67.03  -> A
% 66.89/67.03  Current number of equations to process: 2665
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 830
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1676]
% 66.89/67.03  multiplication(multiplication(forward_diamond(B,C),codomain(X0)),A) addition A
% 66.89/67.03  -> A
% 66.89/67.03  Current number of equations to process: 2664
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 831
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1677]
% 66.89/67.03  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 66.89/67.03               codomain(C)) -> one
% 66.89/67.03  Current number of equations to process: 2663
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 832
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1678]
% 66.89/67.03  one addition multiplication(codomain(A),multiplication(codomain(B),coantidomain(C)))
% 66.89/67.03  -> one
% 66.89/67.03  Current number of equations to process: 2662
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 833
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1679]
% 66.89/67.03  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 66.89/67.03               coantidomain(C)) -> one
% 66.89/67.03  Current number of equations to process: 2661
% 66.89/67.03  Current number of ordered equations: 0
% 66.89/67.03  Current number of rules: 834
% 66.89/67.03  New rule produced :
% 66.89/67.03  [1680]
% 66.89/67.03  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 70.52/70.66                                              coantidomain(C))) -> one
% 70.52/70.66  Current number of equations to process: 2660
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 835
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1681]
% 70.52/70.66  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),one) ->
% 70.52/70.66  true
% 70.52/70.66  Current number of equations to process: 2659
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 836
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1682]
% 70.52/70.66  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),one)
% 70.52/70.66  -> true
% 70.52/70.66  Current number of equations to process: 2658
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 837
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1683]
% 70.52/70.66  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one) -> true
% 70.52/70.66  Current number of equations to process: 2657
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 838
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1684]
% 70.52/70.66  leq(multiplication(multiplication(codomain(A),coantidomain(B)),codomain(C)),one)
% 70.52/70.66  -> true
% 70.52/70.66  Current number of equations to process: 2656
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 839
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1685]
% 70.52/70.66  leq(multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(C)),one)
% 70.52/70.66  -> true
% 70.52/70.66  Current number of equations to process: 2655
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 840
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1686]
% 70.52/70.66  leq(multiplication(codomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 70.52/70.66  -> true
% 70.52/70.66  Current number of equations to process: 2654
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 841
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1687]
% 70.52/70.66  leq(multiplication(coantidomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 70.52/70.66  -> true
% 70.52/70.66  Current number of equations to process: 2653
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 842
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1688]
% 70.52/70.66  one addition multiplication(multiplication(codomain(A),coantidomain(B)),c(C))
% 70.52/70.66  -> one
% 70.52/70.66  Current number of equations to process: 2650
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 843
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1689]
% 70.52/70.66  one addition multiplication(c(A),multiplication(codomain(B),coantidomain(C)))
% 70.52/70.66  -> one
% 70.52/70.66  Current number of equations to process: 2649
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 844
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1690]
% 70.52/70.66  multiplication(A,multiplication(backward_diamond(B,C),codomain(X0))) addition A
% 70.52/70.66  -> A
% 70.52/70.66  Current number of equations to process: 2648
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 845
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1691]
% 70.52/70.66  multiplication(multiplication(backward_diamond(B,C),codomain(X0)),A) addition A
% 70.52/70.66  -> A
% 70.52/70.66  Current number of equations to process: 2647
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 846
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1692]
% 70.52/70.66  forward_diamond(multiplication(multiplication(c(A),codomain(B)),codomain(C)),A)
% 70.52/70.66  -> zero
% 70.52/70.66  Current number of equations to process: 2852
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 847
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1693]
% 70.52/70.66  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 70.52/70.66                                               coantidomain(A))) -> zero
% 70.52/70.66  Current number of equations to process: 2851
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 848
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1694]
% 70.52/70.66  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 70.52/70.66               codomain(C)) -> one
% 70.52/70.66  Current number of equations to process: 2850
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 849
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1695]
% 70.52/70.66  one addition multiplication(multiplication(c(A),coantidomain(B)),codomain(C))
% 70.52/70.66  -> one
% 70.52/70.66  Current number of equations to process: 2920
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 850
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1696]
% 70.52/70.66  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),A)
% 70.52/70.66  -> zero
% 70.52/70.66  Current number of equations to process: 3065
% 70.52/70.66  Current number of ordered equations: 0
% 70.52/70.66  Current number of rules: 851
% 70.52/70.66  New rule produced :
% 70.52/70.66  [1697]
% 70.52/70.66  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 70.52/70.66                                                   coantidomain(A))) -> zero
% 76.47/76.63  Current number of equations to process: 3064
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 852
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1698]
% 76.47/76.63  one addition multiplication(multiplication(codomain(A),c(B)),codomain(C)) ->
% 76.47/76.63  one
% 76.47/76.63  Current number of equations to process: 3134
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 853
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1699]
% 76.47/76.63  forward_diamond(multiplication(multiplication(codomain(A),c(B)),codomain(C)),B)
% 76.47/76.63  -> zero
% 76.47/76.63  Current number of equations to process: 3283
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 854
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1700]
% 76.47/76.63  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 76.47/76.63                                               coantidomain(B))) -> zero
% 76.47/76.63  Current number of equations to process: 3282
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 855
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1701]
% 76.47/76.63  one addition multiplication(multiplication(coantidomain(A),c(B)),codomain(C))
% 76.47/76.63  -> one
% 76.47/76.63  Current number of equations to process: 3352
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 856
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1702] multiplication(A,multiplication(codomain(B),c(C))) addition A -> A
% 76.47/76.63  Current number of equations to process: 3484
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 857
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1703] multiplication(multiplication(codomain(B),c(C)),A) addition A -> A
% 76.47/76.63  Current number of equations to process: 3483
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 858
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1704]
% 76.47/76.63  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),B)
% 76.47/76.63  -> zero
% 76.47/76.63  Current number of equations to process: 3890
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 859
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1705]
% 76.47/76.63  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 76.47/76.63                                                   coantidomain(B))) -> zero
% 76.47/76.63  Current number of equations to process: 3889
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 860
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1706]
% 76.47/76.63  one addition multiplication(codomain(A),multiplication(codomain(B),c(C))) ->
% 76.47/76.63  one
% 76.47/76.63  Current number of equations to process: 3888
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 861
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1707]
% 76.47/76.63  one addition multiplication(multiplication(codomain(A),c(B)),coantidomain(C))
% 76.47/76.63  -> one
% 76.47/76.63  Current number of equations to process: 3887
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 862
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1708]
% 76.47/76.63  one addition multiplication(coantidomain(A),multiplication(codomain(B),c(C)))
% 76.47/76.63  -> one
% 76.47/76.63  Current number of equations to process: 3886
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 863
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1709] leq(codomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 76.47/76.63  Current number of equations to process: 3885
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 864
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1710]
% 76.47/76.63  leq(coantidomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 76.47/76.63  Current number of equations to process: 3884
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 865
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1711] leq(c(A) addition multiplication(codomain(B),c(C)),one) -> true
% 76.47/76.63  Current number of equations to process: 3883
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 866
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1712]
% 76.47/76.63  leq(multiplication(multiplication(codomain(A),c(B)),codomain(C)),one) -> true
% 76.47/76.63  Current number of equations to process: 3882
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 867
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1713]
% 76.47/76.63  leq(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),one) ->
% 76.47/76.63  true
% 76.47/76.63  Current number of equations to process: 3881
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 868
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1714]
% 76.47/76.63  leq(multiplication(codomain(A),multiplication(codomain(B),c(C))),one) -> true
% 76.47/76.63  Current number of equations to process: 3880
% 76.47/76.63  Current number of ordered equations: 0
% 76.47/76.63  Current number of rules: 869
% 76.47/76.63  New rule produced :
% 76.47/76.63  [1715]
% 76.47/76.63  leq(multiplication(coantidomain(A),multiplication(codomain(B),c(C))),one) ->
% 87.83/87.99  true
% 87.83/87.99  Current number of equations to process: 3879
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 870
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1716]
% 87.83/87.99  one addition multiplication(multiplication(codomain(A),c(B)),c(C)) -> one
% 87.83/87.99  Current number of equations to process: 3876
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 871
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1717]
% 87.83/87.99  one addition multiplication(c(A),multiplication(codomain(B),c(C))) -> one
% 87.83/87.99  Current number of equations to process: 3875
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 872
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1718]
% 87.83/87.99  multiplication(A,multiplication(codomain(B),forward_diamond(C,X0))) addition A
% 87.83/87.99  -> A
% 87.83/87.99  Current number of equations to process: 3874
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 873
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1719]
% 87.83/87.99  multiplication(multiplication(codomain(B),forward_diamond(C,X0)),A) addition A
% 87.83/87.99  -> A
% 87.83/87.99  Current number of equations to process: 3873
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 874
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1720]
% 87.83/87.99  multiplication(A,multiplication(codomain(B),backward_diamond(C,X0))) addition A
% 87.83/87.99  -> A
% 87.83/87.99  Current number of equations to process: 3872
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 875
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1721]
% 87.83/87.99  multiplication(multiplication(codomain(B),backward_diamond(C,X0)),A) addition A
% 87.83/87.99  -> A
% 87.83/87.99  Current number of equations to process: 3871
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 876
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1722]
% 87.83/87.99  forward_diamond(multiplication(codomain(A),multiplication(c(B),codomain(C))),B)
% 87.83/87.99  -> zero
% 87.83/87.99  Current number of equations to process: 4104
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 877
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1723]
% 87.83/87.99  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 87.83/87.99                                          coantidomain(C))) -> one
% 87.83/87.99  Current number of equations to process: 4103
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 878
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1724]
% 87.83/87.99  one addition multiplication(codomain(A),multiplication(c(B),coantidomain(C)))
% 87.83/87.99  -> one
% 87.83/87.99  Current number of equations to process: 4173
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 879
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1725]
% 87.83/87.99  forward_diamond(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),B)
% 87.83/87.99  -> zero
% 87.83/87.99  Current number of equations to process: 4340
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 880
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1726]
% 87.83/87.99  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 87.83/87.99                                               coantidomain(B))) -> zero
% 87.83/87.99  Current number of equations to process: 4339
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 881
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1727]
% 87.83/87.99  one addition multiplication(codomain(A),multiplication(coantidomain(B),c(C)))
% 87.83/87.99  -> one
% 87.83/87.99  Current number of equations to process: 4646
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 882
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1728]
% 87.83/87.99  multiplication(A,multiplication(coantidomain(B),coantidomain(C))) addition A
% 87.83/87.99  -> A
% 87.83/87.99  Current number of equations to process: 4796
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 883
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1729]
% 87.83/87.99  multiplication(multiplication(coantidomain(B),coantidomain(C)),A) addition A
% 87.83/87.99  -> A
% 87.83/87.99  Current number of equations to process: 4795
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 884
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1730] multiplication(A,multiplication(c(B),coantidomain(C))) addition A -> A
% 87.83/87.99  Current number of equations to process: 4917
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 885
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1731] multiplication(multiplication(c(B),coantidomain(C)),A) addition A -> A
% 87.83/87.99  Current number of equations to process: 4916
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 886
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1732]
% 87.83/87.99  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 87.83/87.99               coantidomain(C)) -> one
% 87.83/87.99  Current number of equations to process: 2332
% 87.83/87.99  Current number of ordered equations: 0
% 87.83/87.99  Current number of rules: 887
% 87.83/87.99  New rule produced :
% 87.83/87.99  [1733]
% 87.83/87.99  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 88.13/88.30                                              coantidomain(C))) -> one
% 88.13/88.30  Current number of equations to process: 2331
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 888
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1734]
% 88.13/88.30  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 88.13/88.30  -> true
% 88.13/88.30  Current number of equations to process: 2330
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 889
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1735]
% 88.13/88.30  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 88.13/88.30  -> true
% 88.13/88.30  Current number of equations to process: 2329
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 890
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1736]
% 88.13/88.30  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one) ->
% 88.13/88.30  true
% 88.13/88.30  Current number of equations to process: 2328
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 891
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1737]
% 88.13/88.30  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),codomain(C)),one)
% 88.13/88.30  -> true
% 88.13/88.30  Current number of equations to process: 2327
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 892
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1738]
% 88.13/88.30  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),coantidomain(C)),one)
% 88.13/88.30  -> true
% 88.13/88.30  Current number of equations to process: 2326
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 893
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1739]
% 88.13/88.30  leq(multiplication(codomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 88.13/88.30  -> true
% 88.13/88.30  Current number of equations to process: 2325
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 894
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1740]
% 88.13/88.30  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 88.13/88.30  -> true
% 88.13/88.30  Current number of equations to process: 2324
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 895
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1741]
% 88.13/88.30  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 88.13/88.30               c(C)) -> one
% 88.13/88.30  Current number of equations to process: 2321
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 896
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1742]
% 88.13/88.30  one addition multiplication(c(A),multiplication(coantidomain(B),coantidomain(C)))
% 88.13/88.30  -> one
% 88.13/88.30  Current number of equations to process: 2320
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 897
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1743]
% 88.13/88.30  one addition multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C))
% 88.13/88.30  -> one
% 88.13/88.30  Current number of equations to process: 2319
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 898
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1744]
% 88.13/88.30  one addition multiplication(coantidomain(A),multiplication(c(B),coantidomain(C)))
% 88.13/88.30  -> one
% 88.13/88.30  Current number of equations to process: 2318
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 899
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1745]
% 88.13/88.30  leq(codomain(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 88.13/88.30  Current number of equations to process: 2317
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 900
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1746]
% 88.13/88.30  leq(coantidomain(A) addition multiplication(c(B),coantidomain(C)),one) ->
% 88.13/88.30  true
% 88.13/88.30  Current number of equations to process: 2316
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 901
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1747] leq(c(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 88.13/88.30  Current number of equations to process: 2315
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 902
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1748]
% 88.13/88.30  leq(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),one) ->
% 88.13/88.30  true
% 88.13/88.30  Current number of equations to process: 2314
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 903
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1749]
% 88.13/88.30  leq(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),one)
% 88.13/88.30  -> true
% 88.13/88.30  Current number of equations to process: 2313
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 904
% 88.13/88.30  New rule produced :
% 88.13/88.30  [1750]
% 88.13/88.30  leq(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),one) ->
% 88.13/88.30  true
% 88.13/88.30  Current number of equations to process: 2312
% 88.13/88.30  Current number of ordered equations: 0
% 88.13/88.30  Current number of rules: 905
% 88.13/88.30  New rule produced :
% 100.83/100.97  [1751]
% 100.83/100.97  leq(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),one)
% 100.83/100.97  -> true
% 100.83/100.97  Current number of equations to process: 2311
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 906
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1752]
% 100.83/100.97  one addition multiplication(multiplication(c(A),coantidomain(B)),c(C)) -> one
% 100.83/100.97  Current number of equations to process: 2308
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 907
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1753]
% 100.83/100.97  one addition multiplication(c(A),multiplication(c(B),coantidomain(C))) -> one
% 100.83/100.97  Current number of equations to process: 2307
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 908
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1754]
% 100.83/100.97  multiplication(A,multiplication(forward_diamond(B,C),coantidomain(X0))) addition A
% 100.83/100.97  -> A
% 100.83/100.97  Current number of equations to process: 2306
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 909
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1755]
% 100.83/100.97  multiplication(multiplication(forward_diamond(B,C),coantidomain(X0)),A) addition A
% 100.83/100.97  -> A
% 100.83/100.97  Current number of equations to process: 2305
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 910
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1756]
% 100.83/100.97  multiplication(A,multiplication(backward_diamond(B,C),coantidomain(X0))) addition A
% 100.83/100.97  -> A
% 100.83/100.97  Current number of equations to process: 2304
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 911
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1757]
% 100.83/100.97  multiplication(multiplication(backward_diamond(B,C),coantidomain(X0)),A) addition A
% 100.83/100.97  -> A
% 100.83/100.97  Current number of equations to process: 2303
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 912
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1758]
% 100.83/100.97  forward_diamond(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),A)
% 100.83/100.97  -> zero
% 100.83/100.97  Current number of equations to process: 2559
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 913
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1759]
% 100.83/100.97  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 100.83/100.97                                               coantidomain(A))) -> zero
% 100.83/100.97  Current number of equations to process: 2558
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 914
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1760]
% 100.83/100.97  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),A)
% 100.83/100.97  -> zero
% 100.83/100.97  Current number of equations to process: 2816
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 915
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1761]
% 100.83/100.97  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 100.83/100.97                                                   coantidomain(A))) -> zero
% 100.83/100.97  Current number of equations to process: 2815
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 916
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1762]
% 100.83/100.97  forward_diamond(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),B)
% 100.83/100.97  -> zero
% 100.83/100.97  Current number of equations to process: 3078
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 917
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1763]
% 100.83/100.97  one addition multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C))
% 100.83/100.97  -> one
% 100.83/100.97  Current number of equations to process: 3148
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 918
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1764] multiplication(A,multiplication(coantidomain(B),c(C))) addition A -> A
% 100.83/100.97  Current number of equations to process: 3326
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 919
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1765] multiplication(multiplication(coantidomain(B),c(C)),A) addition A -> A
% 100.83/100.97  Current number of equations to process: 3325
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 920
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1766]
% 100.83/100.97  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),B)
% 100.83/100.97  -> zero
% 100.83/100.97  Current number of equations to process: 3767
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 921
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1767]
% 100.83/100.97  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 100.83/100.97                                                   coantidomain(B))) -> zero
% 100.83/100.97  Current number of equations to process: 3766
% 100.83/100.97  Current number of ordered equations: 0
% 100.83/100.97  Current number of rules: 922
% 100.83/100.97  New rule produced :
% 100.83/100.97  [1768]
% 100.83/100.97  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 110.85/111.00                                              c(C))) -> one
% 110.85/111.00  Current number of equations to process: 3765
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 923
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1769]
% 110.85/111.00  leq(codomain(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 110.85/111.00  Current number of equations to process: 3764
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 924
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1770]
% 110.85/111.00  leq(coantidomain(A) addition multiplication(coantidomain(B),c(C)),one) ->
% 110.85/111.00  true
% 110.85/111.00  Current number of equations to process: 3763
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 925
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1771] leq(c(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 110.85/111.00  Current number of equations to process: 3762
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 926
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1772]
% 110.85/111.00  leq(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),one) ->
% 110.85/111.00  true
% 110.85/111.00  Current number of equations to process: 3761
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 927
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1773]
% 110.85/111.00  leq(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),one)
% 110.85/111.00  -> true
% 110.85/111.00  Current number of equations to process: 3760
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 928
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1774]
% 110.85/111.00  leq(multiplication(codomain(A),multiplication(coantidomain(B),c(C))),one) ->
% 110.85/111.00  true
% 110.85/111.00  Current number of equations to process: 3759
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 929
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1775]
% 110.85/111.00  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),c(C))),one)
% 110.85/111.00  -> true
% 110.85/111.00  Current number of equations to process: 3758
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 930
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1776]
% 110.85/111.00  one addition multiplication(multiplication(coantidomain(A),c(B)),c(C)) -> one
% 110.85/111.00  Current number of equations to process: 3755
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 931
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1777]
% 110.85/111.00  one addition multiplication(c(A),multiplication(coantidomain(B),c(C))) -> one
% 110.85/111.00  Current number of equations to process: 3754
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 932
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1778]
% 110.85/111.00  multiplication(A,multiplication(coantidomain(B),forward_diamond(C,X0))) addition A
% 110.85/111.00  -> A
% 110.85/111.00  Current number of equations to process: 3753
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 933
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1779]
% 110.85/111.00  multiplication(multiplication(coantidomain(B),forward_diamond(C,X0)),A) addition A
% 110.85/111.00  -> A
% 110.85/111.00  Current number of equations to process: 3752
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 934
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1780]
% 110.85/111.00  multiplication(A,multiplication(coantidomain(B),backward_diamond(C,X0))) addition A
% 110.85/111.00  -> A
% 110.85/111.00  Current number of equations to process: 3751
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 935
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1781]
% 110.85/111.00  multiplication(multiplication(coantidomain(B),backward_diamond(C,X0)),A) addition A
% 110.85/111.00  -> A
% 110.85/111.00  Current number of equations to process: 3750
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 936
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1782]
% 110.85/111.00  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),B)
% 110.85/111.00  -> zero
% 110.85/111.00  Current number of equations to process: 4027
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 937
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1783]
% 110.85/111.00  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),B)
% 110.85/111.00  -> zero
% 110.85/111.00  Current number of equations to process: 4309
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 938
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1784]
% 110.85/111.00  backward_diamond(multiplication(multiplication(A,coantidomain(backward_diamond(A,B))),C),B)
% 110.85/111.00  -> zero
% 110.85/111.00  Current number of equations to process: 4844
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 939
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1785]
% 110.85/111.00  multiplication(c(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 110.85/111.00  -> c(backward_diamond(A,B))
% 110.85/111.00  Current number of equations to process: 4843
% 110.85/111.00  Current number of ordered equations: 0
% 110.85/111.00  Current number of rules: 940
% 110.85/111.00  New rule produced :
% 110.85/111.00  [1786] leq(c(multiplication(A,B)),c(forward_diamond(A,B))) -> true
% 117.83/118.00  Current number of equations to process: 4842
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 941
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1787]
% 117.83/118.00  multiplication(c(c(A)),multiplication(coantidomain(c(A)),B)) ->
% 117.83/118.00  multiplication(coantidomain(c(A)),B)
% 117.83/118.00  Current number of equations to process: 4842
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 942
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1788] c(B) addition multiplication(c(A),c(c(B))) -> c(A) addition c(B)
% 117.83/118.00  Rule
% 117.83/118.00  [1066]
% 117.83/118.00  c(A) addition multiplication(c(c(B)),c(c(A))) ->
% 117.83/118.00  c(c(B)) addition multiplication(c(B),c(A)) collapsed.
% 117.83/118.00  Current number of equations to process: 4842
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 942
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1789]
% 117.83/118.00  c(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 117.83/118.00  c(A) addition coantidomain(B)
% 117.83/118.00  Current number of equations to process: 4841
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 943
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1790]
% 117.83/118.00  coantidomain(codomain(A) addition B) addition coantidomain(A) ->
% 117.83/118.00  coantidomain(A)
% 117.83/118.00  Current number of equations to process: 2909
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 944
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1791]
% 117.83/118.00  backward_diamond(one addition multiplication(codomain(B),A),B) ->
% 117.83/118.00  backward_diamond(one addition A,B)
% 117.83/118.00  Current number of equations to process: 2992
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 945
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1792]
% 117.83/118.00  multiplication(A,multiplication(B,c(C))) addition multiplication(A,B) ->
% 117.83/118.00  multiplication(A,B)
% 117.83/118.00  Rule
% 117.83/118.00  [1114]
% 117.83/118.00  multiplication(A,multiplication(B,c(c(C)))) addition multiplication(A,B) ->
% 117.83/118.00  multiplication(A,B) collapsed.
% 117.83/118.00  Current number of equations to process: 2991
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 945
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1793]
% 117.83/118.00  multiplication(multiplication(A,c(C)),B) addition multiplication(A,B) ->
% 117.83/118.00  multiplication(A,B)
% 117.83/118.00  Rule
% 117.83/118.00  [1115]
% 117.83/118.00  multiplication(multiplication(A,c(c(C))),B) addition multiplication(A,B) ->
% 117.83/118.00  multiplication(A,B) collapsed.
% 117.83/118.00  Current number of equations to process: 2990
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 945
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1794] c(A) addition multiplication(c(c(A)),c(B)) -> c(A) addition c(B)
% 117.83/118.00  Current number of equations to process: 2989
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 946
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1795]
% 117.83/118.00  multiplication(multiplication(c(A),B),C) addition multiplication(B,C) ->
% 117.83/118.00  multiplication(B,C)
% 117.83/118.00  Rule
% 117.83/118.00  [1116]
% 117.83/118.00  multiplication(multiplication(c(c(A)),B),C) addition multiplication(B,C) ->
% 117.83/118.00  multiplication(B,C) collapsed.
% 117.83/118.00  Current number of equations to process: 2987
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 946
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1796]
% 117.83/118.00  multiplication(A,multiplication(c(C),B)) addition multiplication(A,B) ->
% 117.83/118.00  multiplication(A,B)
% 117.83/118.00  Rule
% 117.83/118.00  [1117]
% 117.83/118.00  multiplication(A,multiplication(c(c(C)),B)) addition multiplication(A,B) ->
% 117.83/118.00  multiplication(A,B) collapsed.
% 117.83/118.00  Current number of equations to process: 2986
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 946
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1797]
% 117.83/118.00  c(B) addition multiplication(c(c(B)),codomain(A)) ->
% 117.83/118.00  c(B) addition codomain(A)
% 117.83/118.00  Current number of equations to process: 2985
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 947
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1798] c(forward_diamond(c(A),multiplication(c(c(A)),B))) -> one
% 117.83/118.00  Current number of equations to process: 2983
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 948
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1799]
% 117.83/118.00  leq(codomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 117.83/118.00  Current number of equations to process: 2982
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 949
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1800]
% 117.83/118.00  leq(codomain(A) addition multiplication(c(B),C),one addition C) -> true
% 117.83/118.00  Current number of equations to process: 2981
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 950
% 117.83/118.00  New rule produced :
% 117.83/118.00  [1801]
% 117.83/118.00  leq(coantidomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 117.83/118.00  Current number of equations to process: 2980
% 117.83/118.00  Current number of ordered equations: 0
% 117.83/118.00  Current number of rules: 951
% 117.83/118.00  New rule produced :
% 118.25/118.36  [1802]
% 118.25/118.36  leq(coantidomain(A) addition multiplication(c(B),C),one addition C) -> true
% 118.25/118.36  Current number of equations to process: 2979
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 952
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1803] leq(c(A) addition multiplication(B,c(C)),one addition B) -> true
% 118.25/118.36  Current number of equations to process: 2978
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 953
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1804] leq(c(A) addition multiplication(c(B),C),one addition C) -> true
% 118.25/118.36  Current number of equations to process: 2977
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 954
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1805]
% 118.25/118.36  leq(multiplication(multiplication(A,codomain(B)),c(C)),A addition X0) -> true
% 118.25/118.36  Current number of equations to process: 2975
% 118.25/118.36  Current number of ordered equations: 1
% 118.25/118.36  Current number of rules: 955
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1806]
% 118.25/118.36  leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A addition X0) ->
% 118.25/118.36  true
% 118.25/118.36  Current number of equations to process: 2975
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 956
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1807]
% 118.25/118.36  leq(multiplication(multiplication(codomain(A),B),c(C)),B addition X0) -> true
% 118.25/118.36  Current number of equations to process: 2973
% 118.25/118.36  Current number of ordered equations: 1
% 118.25/118.36  Current number of rules: 957
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1808]
% 118.25/118.36  leq(multiplication(multiplication(coantidomain(A),B),c(C)),B addition X0) ->
% 118.25/118.36  true
% 118.25/118.36  Current number of equations to process: 2973
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 958
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1809] leq(multiplication(multiplication(A,c(B)),c(C)),A addition X0) -> true
% 118.25/118.36  Current number of equations to process: 2972
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 959
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1810] leq(multiplication(multiplication(c(A),B),c(C)),B addition X0) -> true
% 118.25/118.36  Current number of equations to process: 2971
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 960
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1811]
% 118.25/118.36  multiplication(multiplication(c(codomain(A)),B),coantidomain(backward_diamond(B,
% 118.25/118.36                                                               coantidomain(A))))
% 118.25/118.36  -> zero
% 118.25/118.36  Current number of equations to process: 2970
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 961
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1812]
% 118.25/118.36  multiplication(c(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 118.25/118.36  -> c(coantidomain(backward_diamond(A,B)))
% 118.25/118.36  Current number of equations to process: 2969
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 962
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1813] leq(multiplication(A,c(B)) addition multiplication(A,c(C)),A) -> true
% 118.25/118.36  Current number of equations to process: 2968
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 963
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1814] leq(multiplication(c(A),B) addition multiplication(B,c(C)),B) -> true
% 118.25/118.36  Current number of equations to process: 2967
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 964
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1815]
% 118.25/118.36  leq(multiplication(A,c(C)) addition multiplication(A,codomain(B)),A) -> true
% 118.25/118.36  Current number of equations to process: 2966
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 965
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1816]
% 118.25/118.36  leq(multiplication(codomain(A),B) addition multiplication(B,c(C)),B) -> true
% 118.25/118.36  Current number of equations to process: 2965
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 966
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1817]
% 118.25/118.36  leq(multiplication(A,c(C)) addition multiplication(A,coantidomain(B)),A) ->
% 118.25/118.36  true
% 118.25/118.36  Current number of equations to process: 2964
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 967
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1818]
% 118.25/118.36  leq(multiplication(coantidomain(A),B) addition multiplication(B,c(C)),B) ->
% 118.25/118.36  true
% 118.25/118.36  Current number of equations to process: 2963
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 968
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1819]
% 118.25/118.36  leq(multiplication(multiplication(A,c(B)),codomain(C)),A addition X0) -> true
% 118.25/118.36  Current number of equations to process: 2962
% 118.25/118.36  Current number of ordered equations: 0
% 118.25/118.36  Current number of rules: 969
% 118.25/118.36  New rule produced :
% 118.25/118.36  [1820]
% 118.25/118.36  leq(multiplication(multiplication(c(A),B),codomain(C)),B addition X0) -> true
% 118.63/118.75  Current number of equations to process: 2961
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 970
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1821]
% 118.63/118.75  leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A addition X0) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2960
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 971
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1822]
% 118.63/118.75  leq(multiplication(multiplication(c(A),B),coantidomain(C)),B addition X0) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2959
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 972
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1823]
% 118.63/118.75  leq(multiplication(c(A),B) addition multiplication(B,codomain(C)),B) -> true
% 118.63/118.75  Current number of equations to process: 2958
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 973
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1824]
% 118.63/118.75  leq(multiplication(c(A),B) addition multiplication(B,coantidomain(C)),B) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2957
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 974
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1825]
% 118.63/118.75  leq(multiplication(c(A),multiplication(B,codomain(C))),B addition X0) -> true
% 118.63/118.75  Current number of equations to process: 2955
% 118.63/118.75  Current number of ordered equations: 1
% 118.63/118.75  Current number of rules: 975
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1826]
% 118.63/118.75  leq(multiplication(c(A),multiplication(B,coantidomain(C))),B addition X0) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2955
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 976
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1827]
% 118.63/118.75  leq(multiplication(c(A),multiplication(codomain(B),C)),C addition X0) -> true
% 118.63/118.75  Current number of equations to process: 2953
% 118.63/118.75  Current number of ordered equations: 1
% 118.63/118.75  Current number of rules: 977
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1828]
% 118.63/118.75  leq(multiplication(c(A),multiplication(coantidomain(B),C)),C addition X0) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2953
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 978
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1829] leq(multiplication(c(A),multiplication(B,c(C))),B addition X0) -> true
% 118.63/118.75  Current number of equations to process: 2952
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 979
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1830] leq(multiplication(c(A),multiplication(c(B),C)),C addition X0) -> true
% 118.63/118.75  Current number of equations to process: 2951
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 980
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1831] leq(multiplication(c(A),B) addition multiplication(c(C),B),B) -> true
% 118.63/118.75  Current number of equations to process: 2950
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 981
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1832]
% 118.63/118.75  leq(multiplication(c(C),B) addition multiplication(codomain(A),B),B) -> true
% 118.63/118.75  Current number of equations to process: 2949
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 982
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1833]
% 118.63/118.75  leq(multiplication(c(C),B) addition multiplication(coantidomain(A),B),B) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2948
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 983
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1834]
% 118.63/118.75  leq(multiplication(codomain(A),multiplication(B,c(C))),B addition X0) -> true
% 118.63/118.75  Current number of equations to process: 2947
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 984
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1835]
% 118.63/118.75  leq(multiplication(codomain(A),multiplication(c(B),C)),C addition X0) -> true
% 118.63/118.75  Current number of equations to process: 2946
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 985
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1836]
% 118.63/118.75  leq(multiplication(coantidomain(A),multiplication(B,c(C))),B addition X0) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2945
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 986
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1837]
% 118.63/118.75  leq(multiplication(coantidomain(A),multiplication(c(B),C)),C addition X0) ->
% 118.63/118.75  true
% 118.63/118.75  Current number of equations to process: 2944
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 987
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1838] leq(multiplication(c(A),c(B)) addition C,one addition C) -> true
% 118.63/118.75  Current number of equations to process: 2943
% 118.63/118.75  Current number of ordered equations: 0
% 118.63/118.75  Current number of rules: 988
% 118.63/118.75  New rule produced :
% 118.63/118.75  [1839]
% 118.63/118.75  c(forward_diamond(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),
% 118.94/119.10                                        c(c(X0))))) -> one
% 118.94/119.10  Current number of equations to process: 2941
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 989
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1840]
% 118.94/119.10  c(forward_diamond(multiplication(A,c(B)),multiplication(multiplication(B,C),
% 118.94/119.10                                           c(c(X0))))) -> one
% 118.94/119.10  Current number of equations to process: 2940
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 990
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1841]
% 118.94/119.10  forward_diamond(A,B) addition c(forward_diamond(A,multiplication(codomain(A),
% 118.94/119.10                                                    c(c(B))))) -> one
% 118.94/119.10  Current number of equations to process: 2939
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 991
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1842]
% 118.94/119.10  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),c(
% 118.94/119.10                                                                      multiplication(A,B))))
% 118.94/119.10  -> one
% 118.94/119.10  Current number of equations to process: 2938
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 992
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1843]
% 118.94/119.10  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 118.94/119.10                                                                     c(A)))))
% 118.94/119.10  -> one
% 118.94/119.10  Current number of equations to process: 2937
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 993
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1844]
% 118.94/119.10  coantidomain(backward_diamond(multiplication(A,B),multiplication(c(multiplication(C,A)),C)))
% 118.94/119.10  -> one
% 118.94/119.10  Current number of equations to process: 2936
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 994
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1845]
% 118.94/119.10  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 118.94/119.10                                                                      c(A))))
% 118.94/119.10  -> one
% 118.94/119.10  Current number of equations to process: 2935
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 995
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1846]
% 118.94/119.10  c(forward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 118.94/119.10                                                        backward_diamond(A,B),
% 118.94/119.10                                                        c(c(C))))) -> one
% 118.94/119.10  Current number of equations to process: 2933
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 996
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1847]
% 118.94/119.10  leq(multiplication(A,forward_diamond(B,C)) addition X0,A addition X0) -> true
% 118.94/119.10  Current number of equations to process: 2932
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 997
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1848]
% 118.94/119.10  forward_diamond(multiplication(c(B),forward_diamond(C,X0)) addition A,B) ->
% 118.94/119.10  forward_diamond(A,B)
% 118.94/119.10  Current number of equations to process: 2930
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 998
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1849]
% 118.94/119.10  multiplication(multiplication(A,forward_diamond(B,C)),forward_diamond(X0,X1)) addition A
% 118.94/119.10  -> A
% 118.94/119.10  Current number of equations to process: 2929
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 999
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1850]
% 118.94/119.10  leq(multiplication(forward_diamond(A,B),C) addition X0,C addition X0) -> true
% 118.94/119.10  Current number of equations to process: 2928
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 1000
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1851]
% 118.94/119.10  multiplication(forward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))) addition C
% 118.94/119.10  -> C
% 118.94/119.10  Current number of equations to process: 2925
% 118.94/119.10  Current number of ordered equations: 1
% 118.94/119.10  Current number of rules: 1001
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1852]
% 118.94/119.10  multiplication(multiplication(forward_diamond(B,C),A),forward_diamond(X0,X1)) addition A
% 118.94/119.10  -> A
% 118.94/119.10  Current number of equations to process: 2925
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 1002
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1853]
% 118.94/119.10  multiplication(forward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)) addition X1
% 118.94/119.10  -> X1
% 118.94/119.10  Current number of equations to process: 2923
% 118.94/119.10  Current number of ordered equations: 0
% 118.94/119.10  Current number of rules: 1003
% 118.94/119.10  New rule produced :
% 118.94/119.10  [1854]
% 118.94/119.10  forward_diamond(multiplication(c(B),backward_diamond(C,X0)) addition A,B) ->
% 118.94/119.10  forward_diamond(A,B)
% 118.94/119.10  Current number of equations to process: 2875
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1004
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1855]
% 119.29/119.45  multiplication(multiplication(A,backward_diamond(B,C)),forward_diamond(X0,X1)) addition A
% 119.29/119.45  -> A
% 119.29/119.45  Current number of equations to process: 2873
% 119.29/119.45  Current number of ordered equations: 1
% 119.29/119.45  Current number of rules: 1005
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1856]
% 119.29/119.45  multiplication(multiplication(A,forward_diamond(B,C)),backward_diamond(X0,X1)) addition A
% 119.29/119.45  -> A
% 119.29/119.45  Current number of equations to process: 2873
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1006
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1857]
% 119.29/119.45  multiplication(multiplication(forward_diamond(A,B),C),backward_diamond(X0,X1)) addition C
% 119.29/119.45  -> C
% 119.29/119.45  Current number of equations to process: 2871
% 119.29/119.45  Current number of ordered equations: 1
% 119.29/119.45  Current number of rules: 1007
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1858]
% 119.29/119.45  multiplication(forward_diamond(B,C),multiplication(A,backward_diamond(X0,X1))) addition A
% 119.29/119.45  -> A
% 119.29/119.45  Current number of equations to process: 2871
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1008
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1859]
% 119.29/119.45  multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(X0,X1)) addition A
% 119.29/119.45  -> A
% 119.29/119.45  Current number of equations to process: 2870
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1009
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1860]
% 119.29/119.45  multiplication(backward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))) addition C
% 119.29/119.45  -> C
% 119.29/119.45  Current number of equations to process: 2868
% 119.29/119.45  Current number of ordered equations: 1
% 119.29/119.45  Current number of rules: 1010
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1861]
% 119.29/119.45  multiplication(multiplication(backward_diamond(B,C),A),forward_diamond(X0,X1)) addition A
% 119.29/119.45  -> A
% 119.29/119.45  Current number of equations to process: 2868
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1011
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1862]
% 119.29/119.45  multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)) addition X1
% 119.29/119.45  -> X1
% 119.29/119.45  Current number of equations to process: 2866
% 119.29/119.45  Current number of ordered equations: 1
% 119.29/119.45  Current number of rules: 1012
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1863]
% 119.29/119.45  multiplication(forward_diamond(B,C),multiplication(backward_diamond(X0,X1),A)) addition A
% 119.29/119.45  -> A
% 119.29/119.45  Current number of equations to process: 2866
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1013
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1864]
% 119.29/119.45  multiplication(backward_diamond(A,B),multiplication(C,backward_diamond(X0,X1))) addition C
% 119.29/119.45  -> C
% 119.29/119.45  Current number of equations to process: 2864
% 119.29/119.45  Current number of ordered equations: 1
% 119.29/119.45  Current number of rules: 1014
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1865]
% 119.29/119.45  multiplication(multiplication(backward_diamond(B,C),A),backward_diamond(X0,X1)) addition A
% 119.29/119.45  -> A
% 119.29/119.45  Current number of equations to process: 2864
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1015
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1866]
% 119.29/119.45  multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),X1)) addition X1
% 119.29/119.45  -> X1
% 119.29/119.45  Current number of equations to process: 2862
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1016
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1867]
% 119.29/119.45  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 119.29/119.45  -> true
% 119.29/119.45  Current number of equations to process: 2861
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1017
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1868]
% 119.29/119.45  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 119.29/119.45  -> true
% 119.29/119.45  Current number of equations to process: 2860
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1018
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1869]
% 119.29/119.45  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 119.29/119.45               forward_diamond(C,X0)) -> one
% 119.29/119.45  Current number of equations to process: 2859
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1019
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1870]
% 119.29/119.45  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 119.29/119.45                                                   codomain(X0))) -> one
% 119.29/119.45  Current number of equations to process: 2858
% 119.29/119.45  Current number of ordered equations: 0
% 119.29/119.45  Current number of rules: 1020
% 119.29/119.45  New rule produced :
% 119.29/119.45  [1871]
% 119.29/119.45  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 119.29/119.45               backward_diamond(C,X0)) -> one
% 119.29/119.45  Current number of equations to process: 2857
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1021
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1872]
% 119.65/119.78  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 119.65/119.78                                                    codomain(X0))) -> one
% 119.65/119.78  Current number of equations to process: 2856
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1022
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1873]
% 119.65/119.78  leq(backward_diamond(A,B) addition multiplication(codomain(C),codomain(X0)),one)
% 119.65/119.78  -> true
% 119.65/119.78  Current number of equations to process: 2855
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1023
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1874]
% 119.65/119.78  leq(forward_diamond(A,B) addition multiplication(codomain(C),codomain(X0)),one)
% 119.65/119.78  -> true
% 119.65/119.78  Current number of equations to process: 2854
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1024
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1875]
% 119.65/119.78  one addition multiplication(multiplication(codomain(A),codomain(B)),forward_diamond(C,X0))
% 119.65/119.78  -> one
% 119.65/119.78  Current number of equations to process: 2853
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1025
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1876]
% 119.65/119.78  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 119.65/119.78                                                   codomain(X0))) -> one
% 119.65/119.78  Current number of equations to process: 2852
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1026
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1877]
% 119.65/119.78  one addition multiplication(multiplication(codomain(A),codomain(B)),backward_diamond(C,X0))
% 119.65/119.78  -> one
% 119.65/119.78  Current number of equations to process: 2851
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1027
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1878]
% 119.65/119.78  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 119.65/119.78                                                    codomain(X0))) -> one
% 119.65/119.78  Current number of equations to process: 2850
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1028
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1879]
% 119.65/119.78  leq(backward_diamond(A,B) addition multiplication(c(C),codomain(X0)),one) ->
% 119.65/119.78  true
% 119.65/119.78  Current number of equations to process: 2849
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1029
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1880]
% 119.65/119.78  leq(forward_diamond(A,B) addition multiplication(c(C),codomain(X0)),one) ->
% 119.65/119.78  true
% 119.65/119.78  Current number of equations to process: 2848
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1030
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1881]
% 119.65/119.78  one addition multiplication(multiplication(c(A),codomain(B)),forward_diamond(C,X0))
% 119.65/119.78  -> one
% 119.65/119.78  Current number of equations to process: 2847
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1031
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1882]
% 119.65/119.78  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 119.65/119.78                                                   codomain(X0))) -> one
% 119.65/119.78  Current number of equations to process: 2846
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1032
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1883]
% 119.65/119.78  one addition multiplication(multiplication(c(A),codomain(B)),backward_diamond(C,X0))
% 119.65/119.78  -> one
% 119.65/119.78  Current number of equations to process: 2845
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1033
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1884]
% 119.65/119.78  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 119.65/119.78                                                    codomain(X0))) -> one
% 119.65/119.78  Current number of equations to process: 2844
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1034
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1885]
% 119.65/119.78  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 119.65/119.78               codomain(X0)) -> one
% 119.65/119.78  Current number of equations to process: 2843
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1035
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1886]
% 119.65/119.78  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 119.65/119.78                                          codomain(X0))) -> one
% 119.65/119.78  Current number of equations to process: 2842
% 119.65/119.78  Current number of ordered equations: 0
% 119.65/119.78  Current number of rules: 1036
% 119.65/119.78  New rule produced :
% 119.65/119.78  [1887]
% 119.65/119.78  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 119.65/119.78               coantidomain(X0)) -> one
% 119.65/119.78  Current number of equations to process: 2841
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1037
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1888]
% 119.95/120.09  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 119.95/120.09                                              codomain(X0))) -> one
% 119.95/120.09  Current number of equations to process: 2840
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1038
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1889]
% 119.95/120.09  leq(codomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 119.95/120.09  -> true
% 119.95/120.09  Current number of equations to process: 2839
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1039
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1890]
% 119.95/120.09  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 119.95/120.09  -> true
% 119.95/120.09  Current number of equations to process: 2838
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1040
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1891]
% 119.95/120.09  leq(c(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one) ->
% 119.95/120.09  true
% 119.95/120.09  Current number of equations to process: 2837
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1041
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1892]
% 119.95/120.09  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),codomain(X0)),one)
% 119.95/120.09  -> true
% 119.95/120.09  Current number of equations to process: 2836
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1042
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1893]
% 119.95/120.09  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),coantidomain(X0)),one)
% 119.95/120.09  -> true
% 119.95/120.09  Current number of equations to process: 2835
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1043
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1894]
% 119.95/120.09  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),codomain(X0))),one)
% 119.95/120.09  -> true
% 119.95/120.09  Current number of equations to process: 2834
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1044
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1895]
% 119.95/120.09  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 119.95/120.09                                     codomain(X0))),one) -> true
% 119.95/120.09  Current number of equations to process: 2833
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1045
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1896]
% 119.95/120.09  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 119.95/120.09               c(X0)) -> one
% 119.95/120.09  Current number of equations to process: 2830
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1046
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1897]
% 119.95/120.09  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 119.95/120.09                                   codomain(X0))) -> one
% 119.95/120.09  Current number of equations to process: 2829
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1047
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1898]
% 119.95/120.09  leq(backward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 119.95/120.09  -> true
% 119.95/120.09  Current number of equations to process: 2828
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1048
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1899]
% 119.95/120.09  leq(forward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 119.95/120.09  -> true
% 119.95/120.09  Current number of equations to process: 2827
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1049
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1900]
% 119.95/120.09  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 119.95/120.09               forward_diamond(C,X0)) -> one
% 119.95/120.09  Current number of equations to process: 2826
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1050
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1901]
% 119.95/120.09  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 119.95/120.09                                                   coantidomain(X0))) -> one
% 119.95/120.09  Current number of equations to process: 2825
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1051
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1902]
% 119.95/120.09  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 119.95/120.09               backward_diamond(C,X0)) -> one
% 119.95/120.09  Current number of equations to process: 2824
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1052
% 119.95/120.09  New rule produced :
% 119.95/120.09  [1903]
% 119.95/120.09  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 119.95/120.09                                                    coantidomain(X0))) -> one
% 119.95/120.09  Current number of equations to process: 2823
% 119.95/120.09  Current number of ordered equations: 0
% 119.95/120.09  Current number of rules: 1053
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1904]
% 120.33/120.46  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 120.33/120.46               codomain(X0)) -> one
% 120.33/120.46  Current number of equations to process: 2822
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1054
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1905]
% 120.33/120.46  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 120.33/120.46                                          codomain(X0))) -> one
% 120.33/120.46  Current number of equations to process: 2821
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1055
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1906]
% 120.33/120.46  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 120.33/120.46               coantidomain(X0)) -> one
% 120.33/120.46  Current number of equations to process: 2820
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1056
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1907]
% 120.33/120.46  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 120.33/120.46                                              codomain(X0))) -> one
% 120.33/120.46  Current number of equations to process: 2819
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1057
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1908]
% 120.33/120.46  leq(codomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 120.33/120.46  -> true
% 120.33/120.46  Current number of equations to process: 2818
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1058
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1909]
% 120.33/120.46  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 120.33/120.46  -> true
% 120.33/120.46  Current number of equations to process: 2817
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1059
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1910]
% 120.33/120.46  leq(c(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one) ->
% 120.33/120.46  true
% 120.33/120.46  Current number of equations to process: 2816
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1060
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1911]
% 120.33/120.46  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 120.33/120.46      codomain(X0)),one) -> true
% 120.33/120.46  Current number of equations to process: 2815
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1061
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1912]
% 120.33/120.46  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 120.33/120.46      coantidomain(X0)),one) -> true
% 120.33/120.46  Current number of equations to process: 2814
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1062
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1913]
% 120.33/120.46  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),codomain(X0))),one)
% 120.33/120.46  -> true
% 120.33/120.46  Current number of equations to process: 2813
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1063
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1914]
% 120.33/120.46  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 120.33/120.46                                     codomain(X0))),one) -> true
% 120.33/120.46  Current number of equations to process: 2812
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1064
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1915]
% 120.33/120.46  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 120.33/120.46               c(X0)) -> one
% 120.33/120.46  Current number of equations to process: 2809
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1065
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1916]
% 120.33/120.46  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 120.33/120.46                                   codomain(X0))) -> one
% 120.33/120.46  Current number of equations to process: 2808
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1066
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1917]
% 120.33/120.46  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 120.33/120.46               codomain(X0)) -> one
% 120.33/120.46  Current number of equations to process: 2805
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1067
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1918]
% 120.33/120.46  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 120.33/120.46               codomain(X0)) -> one
% 120.33/120.46  Current number of equations to process: 2804
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1068
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1919]
% 120.33/120.46  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 120.33/120.46               codomain(X0)) -> one
% 120.33/120.46  Current number of equations to process: 2803
% 120.33/120.46  Current number of ordered equations: 0
% 120.33/120.46  Current number of rules: 1069
% 120.33/120.46  New rule produced :
% 120.33/120.46  [1920]
% 120.63/120.79  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 120.63/120.79               codomain(X0)) -> one
% 120.63/120.79  Current number of equations to process: 2802
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1070
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1921]
% 120.63/120.79  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 120.63/120.79               codomain(X0)) -> one
% 120.63/120.79  Current number of equations to process: 2801
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1071
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1922]
% 120.63/120.79  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 120.63/120.79               codomain(X0)) -> one
% 120.63/120.79  Current number of equations to process: 2800
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1072
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1923]
% 120.63/120.79  leq(backward_diamond(A,B) addition multiplication(codomain(C),c(X0)),one) ->
% 120.63/120.79  true
% 120.63/120.79  Current number of equations to process: 2799
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1073
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1924]
% 120.63/120.79  leq(forward_diamond(A,B) addition multiplication(codomain(C),c(X0)),one) ->
% 120.63/120.79  true
% 120.63/120.79  Current number of equations to process: 2798
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1074
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1925]
% 120.63/120.79  one addition multiplication(multiplication(codomain(A),c(B)),forward_diamond(C,X0))
% 120.63/120.79  -> one
% 120.63/120.79  Current number of equations to process: 2797
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1075
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1926]
% 120.63/120.79  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 120.63/120.79                                                   c(X0))) -> one
% 120.63/120.79  Current number of equations to process: 2796
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1076
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1927]
% 120.63/120.79  one addition multiplication(multiplication(codomain(A),c(B)),backward_diamond(C,X0))
% 120.63/120.79  -> one
% 120.63/120.79  Current number of equations to process: 2795
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1077
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1928]
% 120.63/120.79  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 120.63/120.79                                                    c(X0))) -> one
% 120.63/120.79  Current number of equations to process: 2794
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1078
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1929]
% 120.63/120.79  one addition multiplication(codomain(A),multiplication(codomain(B),forward_diamond(C,X0)))
% 120.63/120.79  -> one
% 120.63/120.79  Current number of equations to process: 2792
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1079
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1930]
% 120.63/120.79  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 120.63/120.79               coantidomain(X0)) -> one
% 120.63/120.79  Current number of equations to process: 2791
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1080
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1931]
% 120.63/120.79  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 120.63/120.79                                              forward_diamond(C,X0))) -> one
% 120.63/120.79  Current number of equations to process: 2790
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1081
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1932]
% 120.63/120.79  leq(codomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 120.63/120.79  -> true
% 120.63/120.79  Current number of equations to process: 2789
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1082
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1933]
% 120.63/120.79  leq(coantidomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 120.63/120.79  -> true
% 120.63/120.79  Current number of equations to process: 2788
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1083
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1934]
% 120.63/120.79  leq(c(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one) ->
% 120.63/120.79  true
% 120.63/120.79  Current number of equations to process: 2787
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1084
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1935]
% 120.63/120.79  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),codomain(X0)),one)
% 120.63/120.79  -> true
% 120.63/120.79  Current number of equations to process: 2786
% 120.63/120.79  Current number of ordered equations: 0
% 120.63/120.79  Current number of rules: 1085
% 120.63/120.79  New rule produced :
% 120.63/120.79  [1936]
% 120.63/120.79  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),coantidomain(X0)),one)
% 120.63/120.79  -> true
% 120.63/120.79  Current number of equations to process: 2785
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1086
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1937]
% 121.06/121.16  leq(multiplication(codomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 121.06/121.16  -> true
% 121.06/121.16  Current number of equations to process: 2784
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1087
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1938]
% 121.06/121.16  leq(multiplication(coantidomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 121.06/121.16  -> true
% 121.06/121.16  Current number of equations to process: 2783
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1088
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1939]
% 121.06/121.16  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 121.06/121.16               c(X0)) -> one
% 121.06/121.16  Current number of equations to process: 2780
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1089
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1940]
% 121.06/121.16  one addition multiplication(c(A),multiplication(codomain(B),forward_diamond(C,X0)))
% 121.06/121.16  -> one
% 121.06/121.16  Current number of equations to process: 2779
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1090
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1941]
% 121.06/121.16  one addition multiplication(codomain(A),multiplication(codomain(B),backward_diamond(C,X0)))
% 121.06/121.16  -> one
% 121.06/121.16  Current number of equations to process: 2777
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1091
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1942]
% 121.06/121.16  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 121.06/121.16               coantidomain(X0)) -> one
% 121.06/121.16  Current number of equations to process: 2776
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1092
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1943]
% 121.06/121.16  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 121.06/121.16                                              backward_diamond(C,X0))) -> one
% 121.06/121.16  Current number of equations to process: 2775
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1093
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1944]
% 121.06/121.16  leq(codomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 121.06/121.16  -> true
% 121.06/121.16  Current number of equations to process: 2774
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1094
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1945]
% 121.06/121.16  leq(coantidomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 121.06/121.16  -> true
% 121.06/121.16  Current number of equations to process: 2773
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1095
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1946]
% 121.06/121.16  leq(c(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one) ->
% 121.06/121.16  true
% 121.06/121.16  Current number of equations to process: 2772
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1096
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1947]
% 121.06/121.16  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 121.06/121.16      codomain(X0)),one) -> true
% 121.06/121.16  Current number of equations to process: 2771
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1097
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1948]
% 121.06/121.16  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 121.06/121.16      coantidomain(X0)),one) -> true
% 121.06/121.16  Current number of equations to process: 2770
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1098
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1949]
% 121.06/121.16  leq(multiplication(codomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 121.06/121.16  -> true
% 121.06/121.16  Current number of equations to process: 2769
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1099
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1950]
% 121.06/121.16  leq(multiplication(coantidomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 121.06/121.16  -> true
% 121.06/121.16  Current number of equations to process: 2768
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1100
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1951]
% 121.06/121.16  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 121.06/121.16               c(X0)) -> one
% 121.06/121.16  Current number of equations to process: 2765
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1101
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1952]
% 121.06/121.16  one addition multiplication(c(A),multiplication(codomain(B),backward_diamond(C,X0)))
% 121.06/121.16  -> one
% 121.06/121.16  Current number of equations to process: 2764
% 121.06/121.16  Current number of ordered equations: 0
% 121.06/121.16  Current number of rules: 1102
% 121.06/121.16  New rule produced :
% 121.06/121.16  [1953]
% 121.06/121.16  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 121.06/121.16                                          coantidomain(X0))) -> one
% 121.35/121.49  Current number of equations to process: 2761
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1103
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1954]
% 121.35/121.49  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 121.35/121.49                                          coantidomain(X0))) -> one
% 121.35/121.49  Current number of equations to process: 2760
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1104
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1955]
% 121.35/121.49  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 121.35/121.49                                          forward_diamond(C,X0))) -> one
% 121.35/121.49  Current number of equations to process: 2757
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1105
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1956]
% 121.35/121.49  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 121.35/121.49                                          backward_diamond(C,X0))) -> one
% 121.35/121.49  Current number of equations to process: 2756
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1106
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1957]
% 121.35/121.49  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 121.35/121.49  -> true
% 121.35/121.49  Current number of equations to process: 2755
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1107
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1958]
% 121.35/121.49  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 121.35/121.49  -> true
% 121.35/121.49  Current number of equations to process: 2754
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1108
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1959]
% 121.35/121.49  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 121.35/121.49               forward_diamond(C,X0)) -> one
% 121.35/121.49  Current number of equations to process: 2753
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1109
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1960]
% 121.35/121.49  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 121.35/121.49                                                   coantidomain(X0))) -> one
% 121.35/121.49  Current number of equations to process: 2752
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1110
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1961]
% 121.35/121.49  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 121.35/121.49               backward_diamond(C,X0)) -> one
% 121.35/121.49  Current number of equations to process: 2751
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1111
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1962]
% 121.35/121.49  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 121.35/121.49                                                    coantidomain(X0))) -> one
% 121.35/121.49  Current number of equations to process: 2750
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1112
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1963]
% 121.35/121.49  leq(backward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 121.35/121.49  -> true
% 121.35/121.49  Current number of equations to process: 2749
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1113
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1964]
% 121.35/121.49  leq(forward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 121.35/121.49  -> true
% 121.35/121.49  Current number of equations to process: 2748
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1114
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1965]
% 121.35/121.49  one addition multiplication(multiplication(c(A),coantidomain(B)),forward_diamond(C,X0))
% 121.35/121.49  -> one
% 121.35/121.49  Current number of equations to process: 2747
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1115
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1966]
% 121.35/121.49  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 121.35/121.49                                                   coantidomain(X0))) -> one
% 121.35/121.49  Current number of equations to process: 2746
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1116
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1967]
% 121.35/121.49  one addition multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0))
% 121.35/121.49  -> one
% 121.35/121.49  Current number of equations to process: 2745
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1117
% 121.35/121.49  New rule produced :
% 121.35/121.49  [1968]
% 121.35/121.49  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 121.35/121.49                                                    coantidomain(X0))) -> one
% 121.35/121.49  Current number of equations to process: 2744
% 121.35/121.49  Current number of ordered equations: 0
% 121.35/121.49  Current number of rules: 1118
% 121.35/121.49  New rule produced :
% 121.67/121.84  [1969]
% 121.67/121.84  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 121.67/121.84               coantidomain(X0)) -> one
% 121.67/121.84  Current number of equations to process: 2741
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1119
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1970]
% 121.67/121.84  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 121.67/121.84                                              coantidomain(X0))) -> one
% 121.67/121.84  Current number of equations to process: 2740
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1120
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1971]
% 121.67/121.84  leq(codomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 121.67/121.84  -> true
% 121.67/121.84  Current number of equations to process: 2739
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1121
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1972]
% 121.67/121.84  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 121.67/121.84  -> true
% 121.67/121.84  Current number of equations to process: 2738
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1122
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1973]
% 121.67/121.84  leq(c(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 121.67/121.84  -> true
% 121.67/121.84  Current number of equations to process: 2737
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1123
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1974]
% 121.67/121.84  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 121.67/121.84      codomain(X0)),one) -> true
% 121.67/121.84  Current number of equations to process: 2736
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1124
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1975]
% 121.67/121.84  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 121.67/121.84      coantidomain(X0)),one) -> true
% 121.67/121.84  Current number of equations to process: 2735
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1125
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1976]
% 121.67/121.84  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),coantidomain(X0))),one)
% 121.67/121.84  -> true
% 121.67/121.84  Current number of equations to process: 2734
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1126
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1977]
% 121.67/121.84  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 121.67/121.84                                     coantidomain(X0))),one) -> true
% 121.67/121.84  Current number of equations to process: 2733
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1127
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1978]
% 121.67/121.84  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 121.67/121.84               c(X0)) -> one
% 121.67/121.84  Current number of equations to process: 2730
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1128
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1979]
% 121.67/121.84  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 121.67/121.84                                   coantidomain(X0))) -> one
% 121.67/121.84  Current number of equations to process: 2729
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1129
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1980]
% 121.67/121.84  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 121.67/121.84               coantidomain(X0)) -> one
% 121.67/121.84  Current number of equations to process: 2726
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1130
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1981]
% 121.67/121.84  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 121.67/121.84                                              coantidomain(X0))) -> one
% 121.67/121.84  Current number of equations to process: 2725
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1131
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1982]
% 121.67/121.84  leq(codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 121.67/121.84  -> true
% 121.67/121.84  Current number of equations to process: 2724
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1132
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1983]
% 121.67/121.84  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 121.67/121.84  -> true
% 121.67/121.84  Current number of equations to process: 2723
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1133
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1984]
% 121.67/121.84  leq(c(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 121.67/121.84  -> true
% 121.67/121.84  Current number of equations to process: 2722
% 121.67/121.84  Current number of ordered equations: 0
% 121.67/121.84  Current number of rules: 1134
% 121.67/121.84  New rule produced :
% 121.67/121.84  [1985]
% 121.67/121.84  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 121.96/122.13      codomain(X0)),one) -> true
% 121.96/122.13  Current number of equations to process: 2721
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1135
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1986]
% 121.96/122.13  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 121.96/122.13      coantidomain(X0)),one) -> true
% 121.96/122.13  Current number of equations to process: 2720
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1136
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1987]
% 121.96/122.13  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),coantidomain(X0))),one)
% 121.96/122.13  -> true
% 121.96/122.13  Current number of equations to process: 2719
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1137
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1988]
% 121.96/122.13  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 121.96/122.13                                     coantidomain(X0))),one) -> true
% 121.96/122.13  Current number of equations to process: 2718
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1138
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1989]
% 121.96/122.13  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 121.96/122.13               c(X0)) -> one
% 121.96/122.13  Current number of equations to process: 2715
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1139
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1990]
% 121.96/122.13  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 121.96/122.13                                   coantidomain(X0))) -> one
% 121.96/122.13  Current number of equations to process: 2714
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1140
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1991]
% 121.96/122.13  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 121.96/122.13               coantidomain(X0)) -> one
% 121.96/122.13  Current number of equations to process: 2707
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1141
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1992]
% 121.96/122.13  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 121.96/122.13               coantidomain(X0)) -> one
% 121.96/122.13  Current number of equations to process: 2706
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1142
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1993]
% 121.96/122.13  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 121.96/122.13  -> true
% 121.96/122.13  Current number of equations to process: 2705
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1143
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1994]
% 121.96/122.13  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 121.96/122.13  -> true
% 121.96/122.13  Current number of equations to process: 2704
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1144
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1995]
% 121.96/122.13  one addition multiplication(multiplication(coantidomain(A),c(B)),forward_diamond(C,X0))
% 121.96/122.13  -> one
% 121.96/122.13  Current number of equations to process: 2703
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1145
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1996]
% 121.96/122.13  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 121.96/122.13                                                   c(X0))) -> one
% 121.96/122.13  Current number of equations to process: 2702
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1146
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1997]
% 121.96/122.13  one addition multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0))
% 121.96/122.13  -> one
% 121.96/122.13  Current number of equations to process: 2701
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1147
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1998]
% 121.96/122.13  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 121.96/122.13                                                    c(X0))) -> one
% 121.96/122.13  Current number of equations to process: 2700
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1148
% 121.96/122.13  New rule produced :
% 121.96/122.13  [1999]
% 121.96/122.13  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 121.96/122.13                                              forward_diamond(C,X0))) -> one
% 121.96/122.13  Current number of equations to process: 2696
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1149
% 121.96/122.13  New rule produced :
% 121.96/122.13  [2000]
% 121.96/122.13  leq(codomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 121.96/122.13  -> true
% 121.96/122.13  Current number of equations to process: 2695
% 121.96/122.13  Current number of ordered equations: 0
% 121.96/122.13  Current number of rules: 1150
% 121.96/122.13  New rule produced :
% 121.96/122.13  [2001]
% 121.96/122.13  leq(coantidomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2694
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1151
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2002]
% 122.21/122.31  leq(c(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2693
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1152
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2003]
% 122.21/122.31  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 122.21/122.31      codomain(X0)),one) -> true
% 122.21/122.31  Current number of equations to process: 2692
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1153
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2004]
% 122.21/122.31  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 122.21/122.31      coantidomain(X0)),one) -> true
% 122.21/122.31  Current number of equations to process: 2691
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1154
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2005]
% 122.21/122.31  leq(multiplication(codomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2690
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1155
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2006]
% 122.21/122.31  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2689
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1156
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2007]
% 122.21/122.31  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 122.21/122.31               c(X0)) -> one
% 122.21/122.31  Current number of equations to process: 2686
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1157
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2008]
% 122.21/122.31  one addition multiplication(c(A),multiplication(coantidomain(B),forward_diamond(C,X0)))
% 122.21/122.31  -> one
% 122.21/122.31  Current number of equations to process: 2685
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1158
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2009]
% 122.21/122.31  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 122.21/122.31                                              backward_diamond(C,X0))) -> one
% 122.21/122.31  Current number of equations to process: 2681
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1159
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2010]
% 122.21/122.31  leq(codomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2680
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1160
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2011]
% 122.21/122.31  leq(coantidomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2679
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1161
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2012]
% 122.21/122.31  leq(c(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2678
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1162
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2013]
% 122.21/122.31  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 122.21/122.31      codomain(X0)),one) -> true
% 122.21/122.31  Current number of equations to process: 2677
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1163
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2014]
% 122.21/122.31  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 122.21/122.31      coantidomain(X0)),one) -> true
% 122.21/122.31  Current number of equations to process: 2676
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1164
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2015]
% 122.21/122.31  leq(multiplication(codomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2675
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1165
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2016]
% 122.21/122.31  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 122.21/122.31  -> true
% 122.21/122.31  Current number of equations to process: 2674
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1166
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2017]
% 122.21/122.31  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 122.21/122.31               c(X0)) -> one
% 122.21/122.31  Current number of equations to process: 2671
% 122.21/122.31  Current number of ordered equations: 0
% 122.21/122.31  Current number of rules: 1167
% 122.21/122.31  New rule produced :
% 122.21/122.31  [2018]
% 126.47/126.59  one addition multiplication(c(A),multiplication(coantidomain(B),backward_diamond(C,X0)))
% 126.47/126.59  -> one
% 126.47/126.59  Current number of equations to process: 2670
% 126.47/126.59  Current number of ordered equations: 0
% 126.47/126.59  Current number of rules: 1168
% 126.47/126.59  New rule produced :
% 126.47/126.59  [2019]
% 126.47/126.59  coantidomain(backward_diamond(backward_diamond(A,B),multiplication(C,
% 126.47/126.59                                                      coantidomain(backward_diamond(A,B)))))
% 126.47/126.59  -> one
% 126.47/126.59  Current number of equations to process: 2661
% 126.47/126.59  Current number of ordered equations: 0
% 126.47/126.59  Current number of rules: 1169
% 126.47/126.59  New rule produced :
% 126.47/126.59  [2020]
% 126.47/126.59  multiplication(backward_diamond(A,B),multiplication(backward_diamond(A,B),C))
% 126.47/126.59  -> multiplication(backward_diamond(A,B),C)
% 126.47/126.59  Current number of equations to process: 2660
% 126.47/126.59  Current number of ordered equations: 0
% 126.47/126.59  Current number of rules: 1170
% 126.47/126.59  New rule produced :
% 126.47/126.59  [2021]
% 126.47/126.59  coantidomain(backward_diamond(multiplication(backward_diamond(A,B),C),
% 126.47/126.59               coantidomain(backward_diamond(A,B)))) -> one
% 126.47/126.59  Current number of equations to process: 2659
% 126.47/126.59  Current number of ordered equations: 0
% 126.47/126.59  Current number of rules: 1171
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2022]
% 126.47/126.60  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition B)
% 126.47/126.60  -> true
% 126.47/126.60  Current number of equations to process: 2673
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1172
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2023]
% 126.47/126.60  multiplication(c(A),multiplication(coantidomain(c(c(A))),B)) ->
% 126.47/126.60  multiplication(coantidomain(c(c(A))),B)
% 126.47/126.60  Current number of equations to process: 2766
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1173
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2024] c(c(B)) addition multiplication(c(A),c(B)) -> c(c(B)) addition c(A)
% 126.47/126.60  Current number of equations to process: 2764
% 126.47/126.60  Current number of ordered equations: 1
% 126.47/126.60  Current number of rules: 1174
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2025] c(c(A)) addition multiplication(c(A),c(B)) -> c(c(A)) addition c(B)
% 126.47/126.60  Current number of equations to process: 2764
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1175
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2026]
% 126.47/126.60  c(c(A)) addition multiplication(c(A),codomain(B)) ->
% 126.47/126.60  c(c(A)) addition codomain(B)
% 126.47/126.60  Current number of equations to process: 2762
% 126.47/126.60  Current number of ordered equations: 1
% 126.47/126.60  Current number of rules: 1176
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2027]
% 126.47/126.60  c(c(A)) addition multiplication(c(A),coantidomain(B)) ->
% 126.47/126.60  c(c(A)) addition coantidomain(B)
% 126.47/126.60  Current number of equations to process: 2762
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1177
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2028]
% 126.47/126.60  multiplication(multiplication(A,multiplication(B,codomain(C))),coantidomain(
% 126.47/126.60                                                                 multiplication(A,B)))
% 126.47/126.60  -> zero
% 126.47/126.60  Current number of equations to process: 2958
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1178
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2029]
% 126.47/126.60  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(A),C))
% 126.47/126.60  -> zero
% 126.47/126.60  Current number of equations to process: 2991
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1179
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2030]
% 126.47/126.60  leq(multiplication(multiplication(A,codomain(B)),C),multiplication(A,C)) ->
% 126.47/126.60  true
% 126.47/126.60  Current number of equations to process: 3000
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1180
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2031]
% 126.47/126.60  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 126.47/126.60                                                             codomain(A),C)) ->
% 126.47/126.60  zero
% 126.47/126.60  Current number of equations to process: 3064
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1181
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2032]
% 126.47/126.60  multiplication(multiplication(multiplication(A,B),codomain(C)),multiplication(
% 126.47/126.60                                                                 coantidomain(B),X0))
% 126.47/126.60  -> zero
% 126.47/126.60  Current number of equations to process: 3113
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1182
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2033]
% 126.47/126.60  multiplication(multiplication(codomain(A),codomain(B)),coantidomain(A)) ->
% 126.47/126.60  zero
% 126.47/126.60  Current number of equations to process: 3177
% 126.47/126.60  Current number of ordered equations: 0
% 126.47/126.60  Current number of rules: 1183
% 126.47/126.60  New rule produced :
% 126.47/126.60  [2034]
% 126.47/126.60  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 134.26/134.37                                                         coantidomain(A),C)) ->
% 134.26/134.37  zero
% 134.26/134.37  Current number of equations to process: 3177
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1184
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2035]
% 134.26/134.37  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 134.26/134.37                                                                 multiplication(A,C)))
% 134.26/134.37  -> zero
% 134.26/134.37  Current number of equations to process: 3262
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1185
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2036]
% 134.26/134.37  multiplication(coantidomain(A),multiplication(codomain(B),codomain(A))) ->
% 134.26/134.37  zero
% 134.26/134.37  Current number of equations to process: 3583
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1186
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2037]
% 134.26/134.37  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(B)))
% 134.26/134.37  -> zero
% 134.26/134.37  Rule
% 134.26/134.37  [1700]
% 134.26/134.37  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 134.26/134.37                                               coantidomain(B))) -> zero
% 134.26/134.37  collapsed.
% 134.26/134.37  Rule
% 134.26/134.37  [1705]
% 134.26/134.37  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 134.26/134.37                                                   coantidomain(B))) -> zero
% 134.26/134.37  collapsed.
% 134.26/134.37  Current number of equations to process: 3584
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1185
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2038]
% 134.26/134.37  leq(multiplication(A,multiplication(codomain(B),C)),multiplication(A,C)) ->
% 134.26/134.37  true
% 134.26/134.37  Current number of equations to process: 3594
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1186
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2039]
% 134.26/134.37  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 134.26/134.37                                                   codomain(B))) -> zero
% 134.26/134.37  Current number of equations to process: 3656
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1187
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2040]
% 134.26/134.37  multiplication(multiplication(A,B),multiplication(codomain(C),multiplication(
% 134.26/134.37                                                                coantidomain(B),X0)))
% 134.26/134.37  -> zero
% 134.26/134.37  Current number of equations to process: 3705
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1188
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2041]
% 134.26/134.37  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 134.26/134.37                                               coantidomain(B))) -> zero
% 134.26/134.37  Current number of equations to process: 3773
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1189
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2042]
% 134.26/134.37  multiplication(multiplication(A,multiplication(codomain(B),C)),coantidomain(
% 134.26/134.37                                                                 multiplication(A,C)))
% 134.26/134.37  -> zero
% 134.26/134.37  Current number of equations to process: 3866
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1190
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2043]
% 134.26/134.37  multiplication(coantidomain(backward_diamond(A,B)),multiplication(codomain(C),
% 134.26/134.37                                                     backward_diamond(A,B))) ->
% 134.26/134.37  zero
% 134.26/134.37  Current number of equations to process: 3865
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1191
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2044]
% 134.26/134.37  multiplication(multiplication(A,multiplication(B,coantidomain(C))),coantidomain(
% 134.26/134.37                                                                     multiplication(A,B)))
% 134.26/134.37  -> zero
% 134.26/134.37  Current number of equations to process: 4149
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1192
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2045]
% 134.26/134.37  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(A),C))
% 134.26/134.37  -> zero
% 134.26/134.37  Current number of equations to process: 4180
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1193
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2046]
% 134.26/134.37  leq(multiplication(multiplication(A,coantidomain(B)),C),multiplication(A,C))
% 134.26/134.37  -> true
% 134.26/134.37  Current number of equations to process: 4185
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1194
% 134.26/134.37  New rule produced :
% 134.26/134.37  [2047]
% 134.26/134.37  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 134.26/134.37                                                                 codomain(A),C))
% 134.26/134.37  -> zero
% 134.26/134.37  Current number of equations to process: 4247
% 134.26/134.37  Current number of ordered equations: 0
% 134.26/134.37  Current number of rules: 1195
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2048]
% 141.35/141.46  multiplication(multiplication(multiplication(A,B),coantidomain(C)),multiplication(
% 141.35/141.46                                                                     coantidomain(B),X0))
% 141.35/141.46  -> zero
% 141.35/141.46  Current number of equations to process: 4296
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1196
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2049]
% 141.35/141.46  multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(A))
% 141.35/141.46  -> zero
% 141.35/141.46  Current number of equations to process: 4354
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1197
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2050]
% 141.35/141.46  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 141.35/141.46                                                             coantidomain(A),C))
% 141.35/141.46  -> zero
% 141.35/141.46  Current number of equations to process: 4354
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1198
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2051]
% 141.35/141.46  multiplication(multiplication(multiplication(A,coantidomain(B)),C),coantidomain(
% 141.35/141.46                                                                     multiplication(A,C)))
% 141.35/141.46  -> zero
% 141.35/141.46  Current number of equations to process: 4455
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1199
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2052]
% 141.35/141.46  multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(A)))
% 141.35/141.46  -> zero
% 141.35/141.46  Current number of equations to process: 4776
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1200
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2053]
% 141.35/141.46  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(B)))
% 141.35/141.46  -> zero
% 141.35/141.46  Rule
% 141.35/141.46  [1726]
% 141.35/141.46  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 141.35/141.46                                               coantidomain(B))) -> zero
% 141.35/141.46  collapsed.
% 141.35/141.46  Rule
% 141.35/141.46  [1767]
% 141.35/141.46  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 141.35/141.46                                                   coantidomain(B))) -> zero
% 141.35/141.46  collapsed.
% 141.35/141.46  Current number of equations to process: 4777
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1199
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2054]
% 141.35/141.46  leq(multiplication(A,multiplication(coantidomain(B),C)),multiplication(A,C))
% 141.35/141.46  -> true
% 141.35/141.46  Current number of equations to process: 4783
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1200
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2055]
% 141.35/141.46  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 141.35/141.46                                                   codomain(B))) -> zero
% 141.35/141.46  Current number of equations to process: 4843
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1201
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2056]
% 141.35/141.46  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(
% 141.35/141.46                                                                    coantidomain(B),X0)))
% 141.35/141.46  -> zero
% 141.35/141.46  Current number of equations to process: 4892
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1202
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2057]
% 141.35/141.46  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 141.35/141.46                                               coantidomain(B))) -> zero
% 141.35/141.46  Current number of equations to process: 4954
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1203
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2058]
% 141.35/141.46  multiplication(multiplication(A,multiplication(coantidomain(B),C)),coantidomain(
% 141.35/141.46                                                                     multiplication(A,C)))
% 141.35/141.46  -> zero
% 141.35/141.46  Current number of equations to process: 884
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1204
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2059]
% 141.35/141.46  multiplication(coantidomain(backward_diamond(A,B)),multiplication(coantidomain(C),
% 141.35/141.46                                                     backward_diamond(A,B))) ->
% 141.35/141.46  zero
% 141.35/141.46  Current number of equations to process: 883
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1205
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2060] forward_diamond(codomain(A),coantidomain(A)) -> zero
% 141.35/141.46  Rule [1451] c(forward_diamond(codomain(A),coantidomain(A))) -> one collapsed.
% 141.35/141.46  Current number of equations to process: 994
% 141.35/141.46  Current number of ordered equations: 0
% 141.35/141.46  Current number of rules: 1205
% 141.35/141.46  New rule produced :
% 141.35/141.46  [2061]
% 141.35/141.46  forward_diamond(coantidomain(backward_diamond(A,B)),backward_diamond(A,B)) ->
% 144.57/144.70  zero
% 144.57/144.70  Current number of equations to process: 996
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1206
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2062]
% 144.57/144.70  forward_diamond(multiplication(multiplication(A,c(B)),codomain(C)),B) -> zero
% 144.57/144.70  Rule
% 144.57/144.70  [1699]
% 144.57/144.70  forward_diamond(multiplication(multiplication(codomain(A),c(B)),codomain(C)),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Rule
% 144.57/144.70  [1704]
% 144.57/144.70  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Current number of equations to process: 1015
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1205
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2063]
% 144.57/144.70  forward_diamond(multiplication(multiplication(A,c(B)),coantidomain(C)),B) ->
% 144.57/144.70  zero
% 144.57/144.70  Rule
% 144.57/144.70  [1762]
% 144.57/144.70  forward_diamond(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Rule
% 144.57/144.70  [1766]
% 144.57/144.70  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Current number of equations to process: 1014
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1204
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2064] forward_diamond(multiplication(multiplication(A,c(B)),c(C)),B) -> zero
% 144.57/144.70  Current number of equations to process: 1052
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1205
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2065]
% 144.57/144.70  forward_diamond(multiplication(A,multiplication(c(B),codomain(C))),B) -> zero
% 144.57/144.70  Rule
% 144.57/144.70  [1722]
% 144.57/144.70  forward_diamond(multiplication(codomain(A),multiplication(c(B),codomain(C))),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Rule
% 144.57/144.70  [1782]
% 144.57/144.70  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Current number of equations to process: 1053
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1204
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2066]
% 144.57/144.70  forward_diamond(multiplication(A,multiplication(c(B),coantidomain(C))),B) ->
% 144.57/144.70  zero
% 144.57/144.70  Rule
% 144.57/144.70  [1725]
% 144.57/144.70  forward_diamond(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Rule
% 144.57/144.70  [1783]
% 144.57/144.70  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),B)
% 144.57/144.70  -> zero collapsed.
% 144.57/144.70  Current number of equations to process: 1055
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1203
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2067]
% 144.57/144.70  forward_diamond(forward_diamond(A,B),forward_diamond(A,B)) ->
% 144.57/144.70  forward_diamond(A,B)
% 144.57/144.70  Current number of equations to process: 1166
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1204
% 144.57/144.70  New rule produced : [2068] c(forward_diamond(c(A),c(A))) -> c(c(A))
% 144.57/144.70  Current number of equations to process: 1168
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1205
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2069]
% 144.57/144.70  forward_diamond(multiplication(multiplication(A,c(B)),forward_diamond(C,X0)),B)
% 144.57/144.70  -> zero
% 144.57/144.70  Current number of equations to process: 1277
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1206
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2070]
% 144.57/144.70  forward_diamond(multiplication(multiplication(A,c(B)),backward_diamond(C,X0)),B)
% 144.57/144.70  -> zero
% 144.57/144.70  Current number of equations to process: 1276
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1207
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2071]
% 144.57/144.70  leq(multiplication(multiplication(A,backward_diamond(B,C)),c(X0)),A) -> true
% 144.57/144.70  Current number of equations to process: 1275
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1208
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2072]
% 144.57/144.70  leq(multiplication(multiplication(backward_diamond(A,B),C),c(X0)),C) -> true
% 144.57/144.70  Current number of equations to process: 1274
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1209
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2073]
% 144.57/144.70  leq(multiplication(multiplication(coantidomain(A),codomain(B)),c(C)),one) ->
% 144.57/144.70  true
% 144.57/144.70  Current number of equations to process: 1273
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1210
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2074]
% 144.57/144.70  leq(multiplication(multiplication(codomain(A),codomain(B)),c(C)),one) -> true
% 144.57/144.70  Current number of equations to process: 1272
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1211
% 144.57/144.70  New rule produced :
% 144.57/144.70  [2075] leq(multiplication(multiplication(c(A),codomain(B)),c(C)),one) -> true
% 144.57/144.70  Current number of equations to process: 1271
% 144.57/144.70  Current number of ordered equations: 0
% 144.57/144.70  Current number of rules: 1212
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2076]
% 148.52/148.66  leq(multiplication(multiplication(codomain(A),coantidomain(B)),c(C)),one) ->
% 148.52/148.66  true
% 148.52/148.66  Current number of equations to process: 1270
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1213
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2077] leq(multiplication(multiplication(codomain(A),c(B)),c(C)),one) -> true
% 148.52/148.66  Current number of equations to process: 1269
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1214
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2078]
% 148.52/148.66  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),c(C)),one)
% 148.52/148.66  -> true
% 148.52/148.66  Current number of equations to process: 1268
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1215
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2079]
% 148.52/148.66  leq(multiplication(multiplication(c(A),coantidomain(B)),c(C)),one) -> true
% 148.52/148.66  Current number of equations to process: 1267
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1216
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2080]
% 148.52/148.66  leq(multiplication(multiplication(coantidomain(A),c(B)),c(C)),one) -> true
% 148.52/148.66  Current number of equations to process: 1266
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1217
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2081] multiplication(multiplication(A,c(c(B))),B) -> multiplication(A,B)
% 148.52/148.66  Current number of equations to process: 1463
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1218
% 148.52/148.66  New rule produced : [2082] leq(codomain(A),c(c(codomain(A)))) -> true
% 148.52/148.66  Current number of equations to process: 1470
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1219
% 148.52/148.66  New rule produced : [2083] leq(coantidomain(A),c(c(coantidomain(A)))) -> true
% 148.52/148.66  Current number of equations to process: 1469
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1220
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2084] c(c(codomain(A))) addition codomain(A) -> c(c(codomain(A)))
% 148.52/148.66  Current number of equations to process: 1506
% 148.52/148.66  Current number of ordered equations: 1
% 148.52/148.66  Current number of rules: 1221
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2085]
% 148.52/148.66  c(c(coantidomain(A))) addition coantidomain(A) -> c(c(coantidomain(A)))
% 148.52/148.66  Current number of equations to process: 1506
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1222
% 148.52/148.66  New rule produced : [2086] forward_diamond(c(A),c(A)) -> c(A)
% 148.52/148.66  Rule [2068] c(forward_diamond(c(A),c(A))) -> c(c(A)) collapsed.
% 148.52/148.66  Current number of equations to process: 1511
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1222
% 148.52/148.66  New rule produced : [2087] forward_diamond(c(c(A)),A) -> c(c(A))
% 148.52/148.66  Current number of equations to process: 1510
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1223
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2088] leq(codomain(A),c(c(codomain(A))) addition B) -> true
% 148.52/148.66  Current number of equations to process: 1585
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1224
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2089] leq(coantidomain(A),c(c(coantidomain(A))) addition B) -> true
% 148.52/148.66  Current number of equations to process: 1584
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1225
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2090] codomain(A) addition coantidomain(backward_diamond(A,c(c(A)))) -> one
% 148.52/148.66  Current number of equations to process: 1583
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1226
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2091] leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A))))) -> true
% 148.52/148.66  Current number of equations to process: 1582
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1227
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2092] multiplication(multiplication(c(A),codomain(B)),c(c(A))) -> zero
% 148.52/148.66  Current number of equations to process: 1581
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1228
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2093] multiplication(multiplication(c(A),coantidomain(B)),c(c(A))) -> zero
% 148.52/148.66  Current number of equations to process: 1580
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1229
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2094]
% 148.52/148.66  forward_diamond(c(c(B)) addition A,B) -> forward_diamond(one addition A,B)
% 148.52/148.66  Current number of equations to process: 1579
% 148.52/148.66  Current number of ordered equations: 0
% 148.52/148.66  Current number of rules: 1230
% 148.52/148.66  New rule produced :
% 148.52/148.66  [2095] backward_diamond(A,multiplication(codomain(c(B)),c(c(B)))) -> zero
% 148.52/148.66  Current number of equations to process: 1579
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1231
% 160.46/160.55  New rule produced : [2096] backward_diamond(c(c(A)),c(A)) -> zero
% 160.46/160.55  Rule [659] coantidomain(backward_diamond(c(c(A)),c(A))) -> one collapsed.
% 160.46/160.55  Current number of equations to process: 1579
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1231
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2097] multiplication(codomain(A),c(c(coantidomain(A)))) -> zero
% 160.46/160.55  Current number of equations to process: 1586
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1232
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2098] multiplication(codomain(A),c(c(codomain(A)))) -> c(c(codomain(A)))
% 160.46/160.55  Current number of equations to process: 1595
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1233
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2099]
% 160.46/160.55  multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))) -> zero
% 160.46/160.55  Current number of equations to process: 1594
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1234
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2100]
% 160.46/160.55  multiplication(coantidomain(A),multiplication(c(c(codomain(A))),B)) -> zero
% 160.46/160.55  Current number of equations to process: 1593
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1235
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2101]
% 160.46/160.55  coantidomain(backward_diamond(c(c(codomain(A))),coantidomain(A))) -> one
% 160.46/160.55  Current number of equations to process: 1600
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1236
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2102]
% 160.46/160.55  forward_diamond(c(B) addition A,c(B)) -> forward_diamond(one addition A,c(B))
% 160.46/160.55  Current number of equations to process: 1604
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1237
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2103] coantidomain(backward_diamond(c(c(A)),multiplication(B,c(A)))) -> one
% 160.46/160.55  Current number of equations to process: 1607
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1238
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2104] coantidomain(backward_diamond(multiplication(c(c(A)),B),c(A))) -> one
% 160.46/160.55  Current number of equations to process: 1615
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1239
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2105] forward_diamond(multiplication(A,c(c(B))),B) -> forward_diamond(A,B)
% 160.46/160.55  Current number of equations to process: 1658
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1240
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2106]
% 160.46/160.55  forward_diamond(multiplication(A,c(B)),c(B)) -> forward_diamond(A,c(B))
% 160.46/160.55  Current number of equations to process: 1657
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1241
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2107]
% 160.46/160.55  multiplication(coantidomain(backward_diamond(A,B)),c(c(backward_diamond(A,B))))
% 160.46/160.55  -> zero
% 160.46/160.55  Current number of equations to process: 1655
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1242
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2108]
% 160.46/160.55  multiplication(coantidomain(A),multiplication(codomain(B),c(c(codomain(A)))))
% 160.46/160.55  -> zero
% 160.46/160.55  Current number of equations to process: 1653
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1243
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2109]
% 160.46/160.55  multiplication(coantidomain(A),multiplication(coantidomain(B),c(c(codomain(A)))))
% 160.46/160.55  -> zero
% 160.46/160.55  Current number of equations to process: 1652
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1244
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2110]
% 160.46/160.55  multiplication(forward_diamond(A,c(B)),multiplication(A,c(B))) ->
% 160.46/160.55  multiplication(A,c(B))
% 160.46/160.55  Current number of equations to process: 1663
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1245
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2111] multiplication(coantidomain(A),c(codomain(A))) -> coantidomain(A)
% 160.46/160.55  Current number of equations to process: 1921
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1246
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2112]
% 160.46/160.55  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 160.46/160.55                                                                  codomain(A))))
% 160.46/160.55  -> one
% 160.46/160.55  Current number of equations to process: 2249
% 160.46/160.55  Current number of ordered equations: 0
% 160.46/160.55  Current number of rules: 1247
% 160.46/160.55  New rule produced :
% 160.46/160.55  [2113]
% 160.46/160.55  forward_diamond(multiplication(A,multiplication(B,c(C))) addition X0,C) ->
% 160.46/160.55  forward_diamond(X0,C)
% 160.46/160.55  Current number of equations to process: 2270
% 160.46/160.55  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1248
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2114]
% 160.86/160.98  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),c(X0)),one)
% 160.86/160.98  -> true
% 160.86/160.98  Current number of equations to process: 2269
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1249
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2115]
% 160.86/160.98  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),c(X0)),one)
% 160.86/160.98  -> true
% 160.86/160.98  Current number of equations to process: 2268
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1250
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2116]
% 160.86/160.98  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),c(X0)),one)
% 160.86/160.98  -> true
% 160.86/160.98  Current number of equations to process: 2267
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1251
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2117]
% 160.86/160.98  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),c(X0)),one)
% 160.86/160.98  -> true
% 160.86/160.98  Current number of equations to process: 2266
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1252
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2118]
% 160.86/160.98  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 160.86/160.98      c(X0)),one) -> true
% 160.86/160.98  Current number of equations to process: 2265
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1253
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2119]
% 160.86/160.98  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 160.86/160.98      c(X0)),one) -> true
% 160.86/160.98  Current number of equations to process: 2264
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1254
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2120]
% 160.86/160.98  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 160.86/160.98      c(X0)),one) -> true
% 160.86/160.98  Current number of equations to process: 2263
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1255
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2121]
% 160.86/160.98  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 160.86/160.98      c(X0)),one) -> true
% 160.86/160.98  Current number of equations to process: 2262
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1256
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2122]
% 160.86/160.98  leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A)))) addition B) ->
% 160.86/160.98  true
% 160.86/160.98  Current number of equations to process: 2261
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1257
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2123]
% 160.86/160.98  multiplication(multiplication(A,c(c(B))),multiplication(B,C)) ->
% 160.86/160.98  multiplication(A,multiplication(B,C))
% 160.86/160.98  Current number of equations to process: 2260
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1258
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2124] leq(codomain(A) addition B,c(c(codomain(A))) addition B) -> true
% 160.86/160.98  Current number of equations to process: 2255
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1259
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2125]
% 160.86/160.98  leq(coantidomain(A) addition B,c(c(coantidomain(A))) addition B) -> true
% 160.86/160.98  Current number of equations to process: 2254
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1260
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2126]
% 160.86/160.98  backward_diamond(A,B) addition c(c(backward_diamond(A,B))) ->
% 160.86/160.98  c(c(backward_diamond(A,B)))
% 160.86/160.98  Current number of equations to process: 2253
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1261
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2127]
% 160.86/160.98  multiplication(multiplication(A,coantidomain(B)),multiplication(c(c(codomain(B))),C))
% 160.86/160.98  -> zero
% 160.86/160.98  Current number of equations to process: 2249
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1262
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2128]
% 160.86/160.98  multiplication(multiplication(A,c(B)),multiplication(codomain(C),c(c(B)))) ->
% 160.86/160.98  zero
% 160.86/160.98  Current number of equations to process: 2238
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1263
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2129]
% 160.86/160.98  multiplication(multiplication(A,c(B)),multiplication(coantidomain(C),c(c(B))))
% 160.86/160.98  -> zero
% 160.86/160.98  Current number of equations to process: 2237
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1264
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2130]
% 160.86/160.98  multiplication(multiplication(c(A),codomain(B)),multiplication(c(c(A)),C)) ->
% 160.86/160.98  zero
% 160.86/160.98  Current number of equations to process: 2235
% 160.86/160.98  Current number of ordered equations: 0
% 160.86/160.98  Current number of rules: 1265
% 160.86/160.98  New rule produced :
% 160.86/160.98  [2131]
% 160.86/160.98  multiplication(multiplication(c(A),coantidomain(B)),multiplication(c(c(A)),C))
% 160.86/160.98  -> zero
% 160.86/160.98  Current number of equations to process: 2234
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1266
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2132]
% 165.17/165.30  forward_diamond(multiplication(A,c(c(C))) addition B,C) ->
% 165.17/165.30  forward_diamond(A addition B,C)
% 165.17/165.30  Current number of equations to process: 2232
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1267
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2133]
% 165.17/165.30  multiplication(c(c(A)),coantidomain(c(A) addition B)) ->
% 165.17/165.30  coantidomain(c(A) addition B)
% 165.17/165.30  Current number of equations to process: 2231
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1268
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2134]
% 165.17/165.30  coantidomain(backward_diamond(multiplication(c(c(A)),B),multiplication(C,
% 165.17/165.30                                                          c(A)))) -> one
% 165.17/165.30  Current number of equations to process: 2230
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1269
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2135]
% 165.17/165.30  leq(codomain(A) addition codomain(B) addition coantidomain(C),one) -> true
% 165.17/165.30  Current number of equations to process: 2234
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1270
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2136] leq(codomain(A) addition codomain(B) addition codomain(C),one) -> true
% 165.17/165.30  Current number of equations to process: 2238
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1271
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2137]
% 165.17/165.30  leq(forward_diamond(A,B) addition codomain(C) addition codomain(X0),one) ->
% 165.17/165.30  true
% 165.17/165.30  Current number of equations to process: 2237
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1272
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2138] leq(c(A) addition codomain(B) addition codomain(C),one) -> true
% 165.17/165.30  Current number of equations to process: 2240
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1273
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2139]
% 165.17/165.30  leq(backward_diamond(A,B) addition codomain(C) addition codomain(X0),one) ->
% 165.17/165.30  true
% 165.17/165.30  Current number of equations to process: 2239
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1274
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2140]
% 165.17/165.30  leq(codomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 165.17/165.30  true
% 165.17/165.30  Current number of equations to process: 2275
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1275
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2141]
% 165.17/165.30  leq(forward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 165.17/165.30  -> true
% 165.17/165.30  Current number of equations to process: 2278
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1276
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2142] leq(c(A) addition codomain(B) addition coantidomain(C),one) -> true
% 165.17/165.30  Current number of equations to process: 2281
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1277
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2143]
% 165.17/165.30  leq(backward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 165.17/165.30  -> true
% 165.17/165.30  Current number of equations to process: 2280
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1278
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2144]
% 165.17/165.30  leq(forward_diamond(A,B) addition c(C) addition codomain(X0),one) -> true
% 165.17/165.30  Current number of equations to process: 2320
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1279
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2145] leq(c(A) addition c(B) addition codomain(C),one) -> true
% 165.17/165.30  Current number of equations to process: 2323
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1280
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2146]
% 165.17/165.30  leq(backward_diamond(A,B) addition c(C) addition codomain(X0),one) -> true
% 165.17/165.30  Current number of equations to process: 2322
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1281
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2147]
% 165.17/165.30  leq(coantidomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 165.17/165.30  true
% 165.17/165.30  Current number of equations to process: 2361
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1282
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2148]
% 165.17/165.30  leq(forward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 165.17/165.30  -> true
% 165.17/165.30  Current number of equations to process: 2360
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1283
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2149]
% 165.17/165.30  leq(c(A) addition coantidomain(B) addition coantidomain(C),one) -> true
% 165.17/165.30  Current number of equations to process: 2363
% 165.17/165.30  Current number of ordered equations: 0
% 165.17/165.30  Current number of rules: 1284
% 165.17/165.30  New rule produced :
% 165.17/165.30  [2150]
% 176.19/176.30  leq(backward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 176.19/176.30  -> true
% 176.19/176.30  Current number of equations to process: 2362
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1285
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2151]
% 176.19/176.30  leq(forward_diamond(A,B) addition c(C) addition coantidomain(X0),one) -> true
% 176.19/176.30  Current number of equations to process: 2400
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1286
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2152] leq(c(A) addition c(B) addition coantidomain(C),one) -> true
% 176.19/176.30  Current number of equations to process: 2403
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1287
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2153]
% 176.19/176.30  leq(backward_diamond(A,B) addition c(C) addition coantidomain(X0),one) ->
% 176.19/176.30  true
% 176.19/176.30  Current number of equations to process: 2402
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1288
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2154] leq(forward_diamond(A,B) addition c(C) addition c(X0),one) -> true
% 176.19/176.30  Current number of equations to process: 2440
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1289
% 176.19/176.30  New rule produced : [2155] leq(c(A) addition c(B) addition c(C),one) -> true
% 176.19/176.30  Current number of equations to process: 2443
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1290
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2156] leq(backward_diamond(A,B) addition c(C) addition c(X0),one) -> true
% 176.19/176.30  Current number of equations to process: 2442
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1291
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2157]
% 176.19/176.30  multiplication(multiplication(A,c(B)),multiplication(c(B),C)) ->
% 176.19/176.30  multiplication(A,multiplication(c(B),C))
% 176.19/176.30  Current number of equations to process: 2801
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1292
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2158]
% 176.19/176.30  codomain(A) addition coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 176.19/176.30  -> coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 176.19/176.30  Current number of equations to process: 2800
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1293
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2159]
% 176.19/176.30  codomain(C) addition multiplication(coantidomain(C),forward_diamond(A,B)) ->
% 176.19/176.30  forward_diamond(A,B) addition codomain(C)
% 176.19/176.30  Current number of equations to process: 2797
% 176.19/176.30  Current number of ordered equations: 1
% 176.19/176.30  Current number of rules: 1294
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2160]
% 176.19/176.30  coantidomain(C) addition multiplication(codomain(C),forward_diamond(A,B)) ->
% 176.19/176.30  forward_diamond(A,B) addition coantidomain(C)
% 176.19/176.30  Current number of equations to process: 2797
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1295
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2161]
% 176.19/176.30  codomain(C) addition multiplication(forward_diamond(A,B),coantidomain(C)) ->
% 176.19/176.30  forward_diamond(A,B) addition codomain(C)
% 176.19/176.30  Current number of equations to process: 2795
% 176.19/176.30  Current number of ordered equations: 1
% 176.19/176.30  Current number of rules: 1296
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2162]
% 176.19/176.30  coantidomain(C) addition multiplication(forward_diamond(A,B),codomain(C)) ->
% 176.19/176.30  forward_diamond(A,B) addition coantidomain(C)
% 176.19/176.30  Current number of equations to process: 2795
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1297
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2163]
% 176.19/176.30  codomain(C) addition multiplication(coantidomain(C),backward_diamond(A,B)) ->
% 176.19/176.30  backward_diamond(A,B) addition codomain(C)
% 176.19/176.30  Current number of equations to process: 2791
% 176.19/176.30  Current number of ordered equations: 1
% 176.19/176.30  Current number of rules: 1298
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2164]
% 176.19/176.30  coantidomain(C) addition multiplication(codomain(C),backward_diamond(A,B)) ->
% 176.19/176.30  backward_diamond(A,B) addition coantidomain(C)
% 176.19/176.30  Current number of equations to process: 2791
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1299
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2165]
% 176.19/176.30  coantidomain(C) addition multiplication(backward_diamond(A,B),codomain(C)) ->
% 176.19/176.30  backward_diamond(A,B) addition coantidomain(C)
% 176.19/176.30  Current number of equations to process: 2790
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1300
% 176.19/176.30  New rule produced :
% 176.19/176.30  [2166]
% 176.19/176.30  c(c(coantidomain(A))) addition multiplication(coantidomain(B),coantidomain(A))
% 176.19/176.30  -> c(c(coantidomain(A)))
% 176.19/176.30  Current number of equations to process: 2783
% 176.19/176.30  Current number of ordered equations: 0
% 176.19/176.30  Current number of rules: 1301
% 176.19/176.30  New rule produced :
% 177.57/177.70  [2167]
% 177.57/177.70  c(c(coantidomain(A))) addition multiplication(codomain(B),coantidomain(A)) ->
% 177.57/177.70  c(c(coantidomain(A)))
% 177.57/177.70  Current number of equations to process: 2782
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1302
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2168]
% 177.57/177.70  coantidomain(backward_diamond(A,c(c(A)))) addition coantidomain(A) ->
% 177.57/177.70  coantidomain(backward_diamond(A,c(c(A))))
% 177.57/177.70  Current number of equations to process: 2778
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1303
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2169]
% 177.57/177.70  c(c(codomain(A))) addition multiplication(codomain(A),codomain(B)) ->
% 177.57/177.70  c(c(codomain(A)))
% 177.57/177.70  Current number of equations to process: 2777
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1304
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2170]
% 177.57/177.70  c(c(coantidomain(A))) addition multiplication(coantidomain(A),codomain(B)) ->
% 177.57/177.70  c(c(coantidomain(A)))
% 177.57/177.70  Current number of equations to process: 2776
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1305
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2171]
% 177.57/177.70  c(c(codomain(A))) addition multiplication(codomain(B),codomain(A)) ->
% 177.57/177.70  c(c(codomain(A)))
% 177.57/177.70  Current number of equations to process: 2775
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1306
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2172]
% 177.57/177.70  c(c(codomain(A))) addition multiplication(codomain(A),coantidomain(B)) ->
% 177.57/177.70  c(c(codomain(A)))
% 177.57/177.70  Current number of equations to process: 2774
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1307
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2173]
% 177.57/177.70  c(c(coantidomain(A))) addition multiplication(coantidomain(A),coantidomain(B))
% 177.57/177.70  -> c(c(coantidomain(A)))
% 177.57/177.70  Current number of equations to process: 2773
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1308
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2174]
% 177.57/177.70  c(c(codomain(A))) addition multiplication(coantidomain(B),codomain(A)) ->
% 177.57/177.70  c(c(codomain(A)))
% 177.57/177.70  Current number of equations to process: 2772
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1309
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2175]
% 177.57/177.70  forward_diamond(multiplication(A,c(C)) addition B,c(C)) ->
% 177.57/177.70  forward_diamond(A addition B,c(C))
% 177.57/177.70  Current number of equations to process: 2770
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1310
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2176]
% 177.57/177.70  multiplication(c(A),coantidomain(c(c(A)) addition B)) ->
% 177.57/177.70  coantidomain(c(c(A)) addition B)
% 177.57/177.70  Current number of equations to process: 2769
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1311
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2177] backward_diamond(A,codomain(B)) -> backward_diamond(A,B)
% 177.57/177.70  Rule [411] backward_diamond(coantidomain(A),codomain(A)) -> zero collapsed.
% 177.57/177.70  Rule
% 177.57/177.70  [983]
% 177.57/177.70  backward_diamond(multiplication(A,B),codomain(C)) ->
% 177.57/177.70  backward_diamond(multiplication(A,B),C) collapsed.
% 177.57/177.70  Rule
% 177.57/177.70  [1387]
% 177.57/177.70  coantidomain(backward_diamond(A,codomain(B))) ->
% 177.57/177.70  coantidomain(backward_diamond(A,B)) collapsed.
% 177.57/177.70  Current number of equations to process: 2789
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1309
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2178] backward_diamond(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 177.57/177.70  Rule
% 177.57/177.70  [1379]
% 177.57/177.70  coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition 
% 177.57/177.70  coantidomain(A) -> one collapsed.
% 177.57/177.70  Rule
% 177.57/177.70  [1382]
% 177.57/177.70  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))))
% 177.57/177.70  -> true collapsed.
% 177.57/177.70  Rule
% 177.57/177.70  [2022]
% 177.57/177.70  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition B)
% 177.57/177.70  -> true collapsed.
% 177.57/177.70  Rule
% 177.57/177.70  [2158]
% 177.57/177.70  codomain(A) addition coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 177.57/177.70  -> coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) collapsed.
% 177.57/177.70  Current number of equations to process: 2795
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1306
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2179]
% 177.57/177.70  backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B)))
% 177.57/177.70  -> zero
% 177.57/177.70  Rule
% 177.57/177.70  [1378]
% 177.57/177.70  coantidomain(backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B))))
% 177.57/177.70  -> one collapsed.
% 177.57/177.70  Current number of equations to process: 2798
% 177.57/177.70  Current number of ordered equations: 0
% 177.57/177.70  Current number of rules: 1306
% 177.57/177.70  New rule produced :
% 177.57/177.70  [2180]
% 177.57/177.70  multiplication(multiplication(c(A),codomain(B)),multiplication(A,C)) -> zero
% 177.57/177.70  Current number of equations to process: 2803
% 177.57/177.70  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1307
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2181]
% 183.16/183.28  multiplication(multiplication(c(A),coantidomain(B)),multiplication(A,C)) ->
% 183.16/183.28  zero
% 183.16/183.28  Current number of equations to process: 2802
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1308
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2182] multiplication(A,coantidomain(codomain(A) addition B)) -> zero
% 183.16/183.28  Current number of equations to process: 2825
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1309
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2183]
% 183.16/183.28  backward_diamond(multiplication(coantidomain(A),B),coantidomain(A)) ->
% 183.16/183.28  backward_diamond(B,coantidomain(A))
% 183.16/183.28  Current number of equations to process: 2847
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1310
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2184]
% 183.16/183.28  multiplication(multiplication(A,B),backward_diamond(B,A)) ->
% 183.16/183.28  multiplication(A,B)
% 183.16/183.28  Current number of equations to process: 2853
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1311
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2185]
% 183.16/183.28  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(B,A)))
% 183.16/183.28  -> one
% 183.16/183.28  Current number of equations to process: 2872
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1312
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2186] multiplication(A,coantidomain(backward_diamond(A,c(c(A))))) -> zero
% 183.16/183.28  Current number of equations to process: 2878
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1313
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2187] multiplication(c(A),coantidomain(backward_diamond(c(A),c(A)))) -> zero
% 183.16/183.28  Current number of equations to process: 2877
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1314
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2188]
% 183.16/183.28  backward_diamond(multiplication(A,backward_diamond(A,B)),B) ->
% 183.16/183.28  backward_diamond(A,B)
% 183.16/183.28  Current number of equations to process: 2882
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1315
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2189] leq(backward_diamond(A,B),c(c(backward_diamond(A,B)))) -> true
% 183.16/183.28  Current number of equations to process: 3025
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1316
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2190]
% 183.16/183.28  leq(multiplication(forward_diamond(A,B),backward_diamond(C,X0)),one) -> true
% 183.16/183.28  Current number of equations to process: 3030
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1317
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2191]
% 183.16/183.28  leq(multiplication(multiplication(A,c(B)),backward_diamond(C,X0)),A) -> true
% 183.16/183.28  Current number of equations to process: 3050
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1318
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2192]
% 183.16/183.28  leq(multiplication(multiplication(c(A),B),backward_diamond(C,X0)),B) -> true
% 183.16/183.28  Current number of equations to process: 3049
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1319
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2193]
% 183.16/183.28  leq(multiplication(multiplication(A,codomain(B)),backward_diamond(C,X0)),A)
% 183.16/183.28  -> true
% 183.16/183.28  Current number of equations to process: 3081
% 183.16/183.28  Current number of ordered equations: 1
% 183.16/183.28  Current number of rules: 1320
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2194]
% 183.16/183.28  leq(multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)),A)
% 183.16/183.28  -> true
% 183.16/183.28  Current number of equations to process: 3081
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1321
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2195]
% 183.16/183.28  leq(multiplication(multiplication(codomain(A),B),backward_diamond(C,X0)),B)
% 183.16/183.28  -> true
% 183.16/183.28  Current number of equations to process: 3079
% 183.16/183.28  Current number of ordered equations: 1
% 183.16/183.28  Current number of rules: 1322
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2196]
% 183.16/183.28  leq(multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)),B)
% 183.16/183.28  -> true
% 183.16/183.28  Current number of equations to process: 3079
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1323
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2197]
% 183.16/183.28  leq(multiplication(backward_diamond(A,B),backward_diamond(C,X0)),one) -> true
% 183.16/183.28  Current number of equations to process: 3084
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1324
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2198]
% 183.16/183.28  leq(multiplication(A,multiplication(codomain(B),codomain(C))),A) -> true
% 183.16/183.28  Current number of equations to process: 3191
% 183.16/183.28  Current number of ordered equations: 0
% 183.16/183.28  Current number of rules: 1325
% 183.16/183.28  New rule produced :
% 183.16/183.28  [2199] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(A)))) -> true
% 195.56/195.69  Current number of equations to process: 3195
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1326
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2200]
% 195.56/195.69  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A) -> true
% 195.56/195.69  Current number of equations to process: 3199
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1327
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2201]
% 195.56/195.69  leq(multiplication(coantidomain(A),codomain(B)),c(c(coantidomain(A)))) ->
% 195.56/195.69  true
% 195.56/195.69  Current number of equations to process: 3203
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1328
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2202]
% 195.56/195.69  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A) -> true
% 195.56/195.69  Current number of equations to process: 3223
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1329
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2203]
% 195.56/195.69  leq(multiplication(codomain(A),coantidomain(B)),c(c(codomain(A)))) -> true
% 195.56/195.69  Current number of equations to process: 3227
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1330
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2204]
% 195.56/195.69  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),A) ->
% 195.56/195.69  true
% 195.56/195.69  Current number of equations to process: 3231
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1331
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2205]
% 195.56/195.69  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(A)))) ->
% 195.56/195.69  true
% 195.56/195.69  Current number of equations to process: 3235
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1332
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2206]
% 195.56/195.69  backward_diamond(coantidomain(A) addition B,coantidomain(A)) ->
% 195.56/195.69  backward_diamond(one addition B,coantidomain(A))
% 195.56/195.69  Current number of equations to process: 3462
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1333
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2207]
% 195.56/195.69  leq(multiplication(backward_diamond(A,B),forward_diamond(C,X0)),one) -> true
% 195.56/195.69  Current number of equations to process: 3491
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1334
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2208]
% 195.56/195.69  leq(multiplication(backward_diamond(A,B),multiplication(C,c(X0))),C) -> true
% 195.56/195.69  Current number of equations to process: 3511
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1335
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2209]
% 195.56/195.69  leq(multiplication(backward_diamond(A,B),multiplication(c(C),X0)),X0) -> true
% 195.56/195.69  Current number of equations to process: 3510
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1336
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2210]
% 195.56/195.69  leq(multiplication(backward_diamond(A,B),multiplication(C,codomain(X0))),C)
% 195.56/195.69  -> true
% 195.56/195.69  Current number of equations to process: 3542
% 195.56/195.69  Current number of ordered equations: 1
% 195.56/195.69  Current number of rules: 1337
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2211]
% 195.56/195.69  leq(multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))),C)
% 195.56/195.69  -> true
% 195.56/195.69  Current number of equations to process: 3542
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1338
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2212]
% 195.56/195.69  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),X0)),X0)
% 195.56/195.69  -> true
% 195.56/195.69  Current number of equations to process: 3540
% 195.56/195.69  Current number of ordered equations: 1
% 195.56/195.69  Current number of rules: 1339
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2213]
% 195.56/195.69  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)),X0)
% 195.56/195.69  -> true
% 195.56/195.69  Current number of equations to process: 3540
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1340
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2214] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 195.56/195.69  Current number of equations to process: 3655
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1341
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2215]
% 195.56/195.69  leq(multiplication(codomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 195.56/195.69  true
% 195.56/195.69  Current number of equations to process: 3663
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1342
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2216]
% 195.56/195.69  leq(multiplication(multiplication(codomain(A),codomain(B)),C),C) -> true
% 195.56/195.69  Current number of equations to process: 3665
% 195.56/195.69  Current number of ordered equations: 0
% 195.56/195.69  Current number of rules: 1343
% 195.56/195.69  New rule produced :
% 195.56/195.69  [2217]
% 195.56/195.69  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C) -> true
% 195.56/195.69  Current number of equations to process: 3673
% 195.56/195.69  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1344
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2218]
% 203.41/203.53  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 203.41/203.53  true
% 203.41/203.53  Current number of equations to process: 3687
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1345
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2219]
% 203.41/203.53  leq(multiplication(coantidomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 203.41/203.53  Current number of equations to process: 3695
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1346
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2220]
% 203.41/203.53  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C) -> true
% 203.41/203.53  Current number of equations to process: 3697
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1347
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2221]
% 203.41/203.53  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),C) ->
% 203.41/203.53  true
% 203.41/203.53  Current number of equations to process: 3705
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1348
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2222]
% 203.41/203.53  leq(multiplication(codomain(A),B),multiplication(B,backward_diamond(B,A))) ->
% 203.41/203.53  true
% 203.41/203.53  Current number of equations to process: 3753
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1349
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2223]
% 203.41/203.53  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(B),
% 203.41/203.53                                                  multiplication(A,B)))) ->
% 203.41/203.53  zero
% 203.41/203.53  Current number of equations to process: 3850
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1350
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2224]
% 203.41/203.53  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(
% 203.41/203.53                                                                backward_diamond(B,A))))
% 203.41/203.53  -> zero
% 203.41/203.53  Current number of equations to process: 3848
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1351
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2225]
% 203.41/203.53  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(
% 203.41/203.53                                                                    backward_diamond(B,A))))
% 203.41/203.53  -> zero
% 203.41/203.53  Current number of equations to process: 3847
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1352
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2226]
% 203.41/203.53  backward_diamond(multiplication(multiplication(A,backward_diamond(A,C)),B),C)
% 203.41/203.53  -> backward_diamond(multiplication(A,B),C)
% 203.41/203.53  Current number of equations to process: 3846
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1353
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2227]
% 203.41/203.53  multiplication(multiplication(codomain(A),B),coantidomain(multiplication(B,
% 203.41/203.53                                                            backward_diamond(B,A))))
% 203.41/203.53  -> zero
% 203.41/203.53  Current number of equations to process: 3845
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1354
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2228]
% 203.41/203.53  leq(multiplication(A,multiplication(B,backward_diamond(C,X0))),multiplication(A,B))
% 203.41/203.53  -> true
% 203.41/203.53  Current number of equations to process: 3844
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1355
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2229]
% 203.41/203.53  leq(multiplication(forward_diamond(A,B),backward_diamond(C,X0)),one addition X1)
% 203.41/203.53  -> true
% 203.41/203.53  Current number of equations to process: 3843
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1356
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2230]
% 203.41/203.53  leq(multiplication(multiplication(forward_diamond(A,B),C),backward_diamond(X0,X1)),C)
% 203.41/203.53  -> true
% 203.41/203.53  Current number of equations to process: 3842
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1357
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2231]
% 203.41/203.53  leq(multiplication(backward_diamond(A,B),backward_diamond(C,X0)),one addition X1)
% 203.41/203.53  -> true
% 203.41/203.53  Current number of equations to process: 3840
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1358
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2232]
% 203.41/203.53  leq(multiplication(multiplication(A,forward_diamond(B,C)),backward_diamond(X0,X1)),A)
% 203.41/203.53  -> true
% 203.41/203.53  Current number of equations to process: 3839
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1359
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2233]
% 203.41/203.53  leq(multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(X0,X1)),A)
% 203.41/203.53  -> true
% 203.41/203.53  Current number of equations to process: 3838
% 203.41/203.53  Current number of ordered equations: 0
% 203.41/203.53  Current number of rules: 1360
% 203.41/203.53  New rule produced :
% 203.41/203.53  [2234]
% 203.41/203.53  leq(multiplication(multiplication(backward_diamond(A,B),C),backward_diamond(X0,X1)),C)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3837
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1361
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2235]
% 203.97/204.07  leq(multiplication(multiplication(coantidomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3836
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1362
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2236]
% 203.97/204.07  leq(multiplication(multiplication(codomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3835
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1363
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2237]
% 203.97/204.07  leq(multiplication(multiplication(c(A),codomain(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3834
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1364
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2238]
% 203.97/204.07  leq(multiplication(multiplication(codomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3833
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1365
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2239]
% 203.97/204.07  leq(multiplication(multiplication(codomain(A),c(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3832
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1366
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2240]
% 203.97/204.07  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3831
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1367
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2241]
% 203.97/204.07  leq(multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3830
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1368
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2242]
% 203.97/204.07  leq(multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0)),one)
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3829
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1369
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2243]
% 203.97/204.07  leq(backward_diamond(A,B),c(c(backward_diamond(A,B))) addition C) -> true
% 203.97/204.07  Current number of equations to process: 3828
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1370
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2244]
% 203.97/204.07  multiplication(multiplication(multiplication(A,B),C),backward_diamond(C,B))
% 203.97/204.07  -> multiplication(multiplication(A,B),C)
% 203.97/204.07  Current number of equations to process: 3827
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1371
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2245]
% 203.97/204.07  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(
% 203.97/204.07                                                                   multiplication(A,B)),B)))
% 203.97/204.07  -> zero
% 203.97/204.07  Current number of equations to process: 3826
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1372
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2246]
% 203.97/204.07  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 203.97/204.07                                                                    multiplication(C,B),A)))
% 203.97/204.07  -> one
% 203.97/204.07  Current number of equations to process: 3825
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1373
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2247]
% 203.97/204.07  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(
% 203.97/204.07                                                            backward_diamond(B,A),B)))
% 203.97/204.07  -> zero
% 203.97/204.07  Current number of equations to process: 3824
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1374
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2248]
% 203.97/204.07  leq(multiplication(A,codomain(B)),multiplication(A,c(c(codomain(B))))) ->
% 203.97/204.07  true
% 203.97/204.07  Current number of equations to process: 3822
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1375
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2249]
% 203.97/204.07  leq(multiplication(A,coantidomain(B)),multiplication(A,c(c(coantidomain(B)))))
% 203.97/204.07  -> true
% 203.97/204.07  Current number of equations to process: 3821
% 203.97/204.07  Current number of ordered equations: 0
% 203.97/204.07  Current number of rules: 1376
% 203.97/204.07  New rule produced :
% 203.97/204.07  [2250]
% 203.97/204.07  multiplication(c(codomain(A)),coantidomain(backward_diamond(coantidomain(A),
% 203.97/204.07                                             c(codomain(A))))) -> zero
% 204.52/204.63  Current number of equations to process: 3818
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1377
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2251]
% 204.52/204.63  multiplication(c(coantidomain(A)),coantidomain(backward_diamond(codomain(A),
% 204.52/204.63                                                 c(coantidomain(A))))) -> zero
% 204.52/204.63  Current number of equations to process: 3817
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1378
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2252]
% 204.52/204.63  multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(B,C))
% 204.52/204.63  -> multiplication(A,backward_diamond(B,C))
% 204.52/204.63  Current number of equations to process: 3816
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1379
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2253]
% 204.52/204.63  leq(multiplication(multiplication(backward_diamond(A,B),C),X0),multiplication(C,X0))
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3815
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1380
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2254]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),forward_diamond(C,X0)),one addition X1)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3814
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1381
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2255]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)),X1)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3813
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1382
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2256]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))),C)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3810
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1383
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2257]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(C,backward_diamond(X0,X1))),C)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3809
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1384
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2258]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),X1)),X1)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3808
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1385
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2259]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 204.52/204.63                                           codomain(X0))),one) -> true
% 204.52/204.63  Current number of equations to process: 3807
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1386
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2260]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),codomain(X0))),one)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3806
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1387
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2261]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(c(C),codomain(X0))),one)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3805
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1388
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2262]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),coantidomain(X0))),one)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3804
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1389
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2263]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),c(X0))),one)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3803
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1390
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2264]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 204.52/204.63                                           coantidomain(X0))),one) -> true
% 204.52/204.63  Current number of equations to process: 3802
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1391
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2265]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(c(C),coantidomain(X0))),one)
% 204.52/204.63  -> true
% 204.52/204.63  Current number of equations to process: 3801
% 204.52/204.63  Current number of ordered equations: 0
% 204.52/204.63  Current number of rules: 1392
% 204.52/204.63  New rule produced :
% 204.52/204.63  [2266]
% 204.52/204.63  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 204.52/204.63                                           c(X0))),one) -> true
% 204.52/204.63  Current number of equations to process: 3800
% 204.52/204.63  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1393
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2267]
% 242.64/242.78  coantidomain(backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),
% 242.64/242.78               multiplication(C,B))) -> one
% 242.64/242.78  Current number of equations to process: 3796
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1394
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2268]
% 242.64/242.78  leq(multiplication(A,multiplication(codomain(B),codomain(C))),A addition X0)
% 242.64/242.78  -> true
% 242.64/242.78  Current number of equations to process: 3947
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1395
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2269]
% 242.64/242.78  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A addition X0)
% 242.64/242.78  -> true
% 242.64/242.78  Current number of equations to process: 4145
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1396
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2270]
% 242.64/242.78  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A addition X0)
% 242.64/242.78  -> true
% 242.64/242.78  Current number of equations to process: 4733
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1397
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2271]
% 242.64/242.78  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),
% 242.64/242.78  A addition X0) -> true
% 242.64/242.78  Current number of equations to process: 4925
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1398
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2272]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),codomain(B)),C),C addition X0)
% 242.64/242.78  -> true
% 242.64/242.78  Current number of equations to process: 3698
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1399
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2273]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C addition X0)
% 242.64/242.78  -> true
% 242.64/242.78  Current number of equations to process: 3896
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1400
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2274]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C addition X0)
% 242.64/242.78  -> true
% 242.64/242.78  Current number of equations to process: 4471
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1401
% 242.64/242.78  New rule produced :
% 242.64/242.78  [2275]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),
% 242.64/242.78  C addition X0) -> true
% 242.64/242.78  Current number of equations to process: 4659
% 242.64/242.78  Current number of ordered equations: 0
% 242.64/242.78  Current number of rules: 1402
% 242.64/242.78  New rule produced : [2276] coantidomain(A) -> c(codomain(A))
% 242.64/242.78  Rule [7] coantidomain(coantidomain(X0)) -> codomain(X0) collapsed.
% 242.64/242.78  Rule [10] multiplication(X0,coantidomain(X0)) -> zero collapsed.
% 242.64/242.78  Rule [17] codomain(X0) addition coantidomain(X0) -> one collapsed.
% 242.64/242.78  Rule [29] coantidomain(one) -> zero collapsed.
% 242.64/242.78  Rule [34] coantidomain(codomain(A)) -> coantidomain(A) collapsed.
% 242.64/242.78  Rule [41] one addition coantidomain(A) -> one collapsed.
% 242.64/242.78  Rule [42] multiplication(coantidomain(A),codomain(A)) -> zero collapsed.
% 242.64/242.78  Rule [50] multiplication(multiplication(A,B),coantidomain(B)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [52] multiplication(A,multiplication(coantidomain(A),B)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [66]
% 242.64/242.78  multiplication(A,codomain(B)) addition multiplication(A,coantidomain(B)) -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [68]
% 242.64/242.78  multiplication(codomain(B),A) addition multiplication(coantidomain(B),A) -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [81] ifeq2(one,codomain(A),leq(coantidomain(A),codomain(A)),true) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [82] ifeq2(one,coantidomain(A),leq(codomain(A),coantidomain(A)),true) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [85]
% 242.64/242.78  ifeq(leq(coantidomain(A),codomain(A)),true,one,codomain(A)) -> codomain(A)
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [86]
% 242.64/242.78  ifeq(leq(codomain(A),coantidomain(A)),true,one,coantidomain(A)) ->
% 242.64/242.78  coantidomain(A) collapsed.
% 242.64/242.78  Rule [111] coantidomain(zero) -> one collapsed.
% 242.64/242.78  Rule [139] multiplication(A,coantidomain(B)) addition A -> A collapsed.
% 242.64/242.78  Rule [140] multiplication(coantidomain(B),A) addition A -> A collapsed.
% 242.64/242.78  Rule [141] leq(coantidomain(A),one) -> true collapsed.
% 242.64/242.78  Rule [142] leq(coantidomain(A),one addition B) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [143] multiplication(multiplication(A,coantidomain(B)),codomain(B)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [144] multiplication(coantidomain(A),multiplication(codomain(A),B)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [148] ifeq2(one,coantidomain(A),leq(one,coantidomain(A)),true) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [171]
% 242.64/242.78  ifeq(leq(one,coantidomain(A)),true,one,coantidomain(A)) -> coantidomain(A)
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [172]
% 242.64/242.78  backward_diamond(A,B) addition coantidomain(backward_diamond(A,B)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [178]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(coantidomain(B),C)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [192]
% 242.64/242.78  backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [201]
% 242.64/242.78  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule [210] leq(coantidomain(A) addition B,one addition B) -> true collapsed.
% 242.64/242.78  Rule [217] leq(coantidomain(A) addition B,one addition B addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [248] multiplication(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [251] leq(multiplication(A,coantidomain(B)),A) -> true collapsed.
% 242.64/242.78  Rule [253] leq(multiplication(A,coantidomain(B)),A addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [260] leq(multiplication(A,coantidomain(B)) addition C,A addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [274] leq(multiplication(coantidomain(A),B),B) -> true collapsed.
% 242.64/242.78  Rule [276] leq(multiplication(coantidomain(A),B),B addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [278] leq(multiplication(coantidomain(A),B) addition C,B addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [279]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C))))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [288]
% 242.64/242.78  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 242.64/242.78  multiplication(codomain(B),A)) -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [312]
% 242.64/242.78  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 242.64/242.78  codomain(A) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [314]
% 242.64/242.78  codomain(B) addition multiplication(codomain(A),coantidomain(B)) ->
% 242.64/242.78  codomain(A) addition codomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [315]
% 242.64/242.78  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 242.64/242.78  codomain(B) addition coantidomain(A) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [316]
% 242.64/242.78  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) ->
% 242.64/242.78  coantidomain(A) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [317]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(B),C))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [320]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(C),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [322]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [331]
% 242.64/242.78  ifeq2(one addition A,one,leq(coantidomain(B) addition A,one),true) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [332]
% 242.64/242.78  ifeq(leq(coantidomain(A) addition B,one),true,one addition B,one) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [340]
% 242.64/242.78  leq(multiplication(A,coantidomain(B)) addition C,A addition C addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [344]
% 242.64/242.78  leq(multiplication(coantidomain(A),B) addition C,B addition C addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [345]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 242.64/242.78                                                                     multiplication(B,C)),X0)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [346]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 242.64/242.78                                                       coantidomain(multiplication(C,X0))))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [349]
% 242.64/242.78  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 242.64/242.78  coantidomain(multiplication(C,X0))) -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [352]
% 242.64/242.78  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 242.64/242.78                                                                      multiplication(B,C)),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [353]
% 242.64/242.78  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(A,
% 242.64/242.78                                                                    multiplication(B,C))))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule [370] multiplication(A,coantidomain(A addition B)) -> zero collapsed.
% 242.64/242.78  Rule [408] codomain(coantidomain(A)) -> coantidomain(A) collapsed.
% 242.64/242.78  Rule [409] backward_diamond(coantidomain(A),A) -> zero collapsed.
% 242.64/242.78  Rule [410] multiplication(codomain(A),coantidomain(A)) -> zero collapsed.
% 242.64/242.78  Rule [414] backward_diamond(multiplication(coantidomain(A),B),A) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [415]
% 242.64/242.78  coantidomain(multiplication(codomain(B),A)) ->
% 242.64/242.78  coantidomain(backward_diamond(A,B)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [416]
% 242.64/242.78  coantidomain(backward_diamond(X1,X0)) addition coantidomain(multiplication(X0,X1))
% 242.64/242.78  -> coantidomain(backward_diamond(X1,X0)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [421] multiplication(multiplication(A,codomain(B)),coantidomain(B)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [423] multiplication(codomain(A),multiplication(coantidomain(A),B)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [425]
% 242.64/242.78  multiplication(coantidomain(backward_diamond(B,A)),backward_diamond(B,A)) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [426]
% 242.64/242.78  backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),B) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [429]
% 242.64/242.78  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,A)) ->
% 242.64/242.78  one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [430]
% 242.64/242.78  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A))) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [432]
% 242.64/242.78  coantidomain(multiplication(backward_diamond(C,B),A)) ->
% 242.64/242.78  coantidomain(backward_diamond(A,multiplication(codomain(B),C))) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [433]
% 242.64/242.78  coantidomain(multiplication(multiplication(codomain(C),A),B)) ->
% 242.64/242.78  coantidomain(backward_diamond(multiplication(A,B),C)) collapsed.
% 242.64/242.78  Rule [498] one addition multiplication(coantidomain(A),codomain(B)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [507] one addition multiplication(codomain(A),coantidomain(B)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [512]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),codomain(C)) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [516]
% 242.64/242.78  multiplication(multiplication(coantidomain(A),B),codomain(C)) addition B -> B
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [524]
% 242.64/242.78  multiplication(codomain(A),multiplication(B,coantidomain(C))) addition B -> B
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [528]
% 242.64/242.78  multiplication(codomain(A),multiplication(coantidomain(B),C)) addition C -> C
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [529] one addition multiplication(coantidomain(A),coantidomain(B)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [530] one addition multiplication(c(A),coantidomain(B)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [531]
% 242.64/242.78  one addition multiplication(forward_diamond(A,B),coantidomain(C)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [533]
% 242.64/242.78  one addition multiplication(backward_diamond(A,B),coantidomain(C)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [536]
% 242.64/242.78  multiplication(multiplication(A,codomain(B)),coantidomain(C)) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [537]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),coantidomain(C)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [540]
% 242.64/242.78  multiplication(multiplication(codomain(A),B),coantidomain(C)) addition B -> B
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [541]
% 242.64/242.78  multiplication(multiplication(coantidomain(A),B),coantidomain(C)) addition B
% 242.64/242.78  -> B collapsed.
% 242.64/242.78  Rule [542] one addition multiplication(coantidomain(A),c(B)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [543]
% 242.64/242.78  one addition multiplication(coantidomain(A),forward_diamond(B,C)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [545]
% 242.64/242.78  one addition multiplication(coantidomain(A),backward_diamond(B,C)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [548]
% 242.64/242.78  multiplication(coantidomain(A),multiplication(B,codomain(C))) addition B -> B
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [549]
% 242.64/242.78  multiplication(coantidomain(A),multiplication(B,coantidomain(C))) addition B
% 242.64/242.78  -> B collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [552]
% 242.64/242.78  multiplication(coantidomain(A),multiplication(codomain(B),C)) addition C -> C
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [553]
% 242.64/242.78  multiplication(coantidomain(A),multiplication(coantidomain(B),C)) addition C
% 242.64/242.78  -> C collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [554]
% 242.64/242.78  backward_diamond(multiplication(A,multiplication(coantidomain(backward_diamond(A,B)),C)),B)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [574]
% 242.64/242.78  codomain(A) addition multiplication(coantidomain(A),codomain(B)) ->
% 242.64/242.78  codomain(A) addition codomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [575]
% 242.64/242.78  coantidomain(B) addition multiplication(codomain(B),codomain(A)) ->
% 242.64/242.78  codomain(A) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [576]
% 242.64/242.78  coantidomain(B) addition multiplication(codomain(A),codomain(B)) ->
% 242.64/242.78  codomain(A) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [577]
% 242.64/242.78  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) ->
% 242.64/242.78  coantidomain(A) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [578]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 242.64/242.78  backward_diamond(B,C)) -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [580]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),coantidomain(B)) ->
% 242.64/242.78  multiplication(A,coantidomain(B)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [582]
% 242.64/242.78  multiplication(coantidomain(backward_diamond(A,B)),multiplication(backward_diamond(A,B),C))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [586]
% 242.64/242.78  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A)) addition C)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [601]
% 242.64/242.78  multiplication(A,multiplication(B,coantidomain(C))) addition multiplication(A,B)
% 242.64/242.78  -> multiplication(A,B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [602]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(C)),B) addition multiplication(A,B)
% 242.64/242.78  -> multiplication(A,B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [603]
% 242.64/242.78  multiplication(multiplication(coantidomain(A),B),C) addition multiplication(B,C)
% 242.64/242.78  -> multiplication(B,C) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [604]
% 242.64/242.78  multiplication(A,multiplication(coantidomain(C),B)) addition multiplication(A,B)
% 242.64/242.78  -> multiplication(A,B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [605]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,coantidomain(C))),multiplication(
% 242.64/242.78                                                                     codomain(C),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [606]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 242.64/242.78                                                                  codomain(B),C),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule [607] forward_diamond(coantidomain(A),codomain(A)) -> zero collapsed.
% 242.64/242.78  Rule [663] multiplication(coantidomain(A),c(c(codomain(A)))) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [727]
% 242.64/242.78  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(B),C))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule [740] leq(codomain(A) addition coantidomain(B),one) -> true collapsed.
% 242.64/242.78  Rule [744] leq(coantidomain(A) addition coantidomain(B),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [745] leq(c(A) addition coantidomain(B),one) -> true collapsed.
% 242.64/242.78  Rule [746] leq(forward_diamond(A,B) addition coantidomain(C),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [747] leq(backward_diamond(A,B) addition coantidomain(C),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [755] leq(codomain(A) addition coantidomain(B),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [760] leq(coantidomain(A) addition coantidomain(B),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [763] leq(c(A) addition coantidomain(B),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [764]
% 242.64/242.78  leq(forward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [765]
% 242.64/242.78  leq(backward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [792]
% 242.64/242.78  leq(codomain(A) addition coantidomain(B) addition C,one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [794]
% 242.64/242.78  leq(coantidomain(A) addition coantidomain(B) addition C,one addition C) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [795] leq(c(A) addition coantidomain(B) addition C,one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [804]
% 242.64/242.78  leq(codomain(A) addition multiplication(B,coantidomain(C)),one addition B) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [806]
% 242.64/242.78  leq(codomain(A) addition multiplication(coantidomain(B),C),one addition C) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [809]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [810]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [811]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [812]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [816]
% 242.64/242.78  leq(c(A) addition multiplication(B,coantidomain(C)),one addition B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [818]
% 242.64/242.78  leq(c(A) addition multiplication(coantidomain(B),C),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [852] backward_diamond(codomain(A),coantidomain(A)) -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [856]
% 242.64/242.78  multiplication(multiplication(A,B),coantidomain(backward_diamond(B,A))) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [872]
% 242.64/242.78  multiplication(coantidomain(A),multiplication(coantidomain(A),B)) ->
% 242.64/242.78  multiplication(coantidomain(A),B) collapsed.
% 242.64/242.78  Rule [875] leq(multiplication(coantidomain(A),codomain(B)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [879] leq(multiplication(coantidomain(A),codomain(B)),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [883]
% 242.64/242.78  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [885]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [893] leq(multiplication(codomain(A),coantidomain(B)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [894] leq(multiplication(coantidomain(A),coantidomain(B)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [896] leq(multiplication(codomain(A),coantidomain(B)),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [897]
% 242.64/242.78  leq(multiplication(coantidomain(A),coantidomain(B)),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [899]
% 242.64/242.78  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [900]
% 242.64/242.78  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),A) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [901]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),B) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [902]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [903] leq(multiplication(c(A),coantidomain(B)),one) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [905] leq(multiplication(forward_diamond(A,B),coantidomain(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [906] leq(multiplication(backward_diamond(A,B),coantidomain(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [907] leq(multiplication(c(A),coantidomain(B)),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [910]
% 242.64/242.78  multiplication(multiplication(multiplication(A,B),C),coantidomain(backward_diamond(C,B)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [912]
% 242.64/242.78  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B))
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [917]
% 242.64/242.78  leq(multiplication(forward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [918]
% 242.64/242.78  leq(multiplication(backward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule [919] multiplication(c(codomain(A)),coantidomain(A)) -> c(codomain(A))
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [920] multiplication(c(coantidomain(A)),codomain(A)) -> c(coantidomain(A))
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [947]
% 242.64/242.78  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(B,A)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [950]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [952]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [960]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),B) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [961]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [962]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [963]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),C) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule [964] leq(multiplication(coantidomain(A),c(B)),one) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [966] leq(multiplication(coantidomain(A),forward_diamond(B,C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [967] leq(multiplication(coantidomain(A),backward_diamond(B,C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [968] leq(multiplication(coantidomain(A),c(B)),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [975]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C))
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [980]
% 242.64/242.78  leq(multiplication(coantidomain(A),forward_diamond(B,C)),one addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [981]
% 242.64/242.78  leq(multiplication(coantidomain(A),backward_diamond(B,C)),one addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [982]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(C,coantidomain(backward_diamond(C,B))))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [991]
% 242.64/242.78  multiplication(multiplication(A,B),coantidomain(multiplication(B,codomain(
% 242.64/242.78                                                                   multiplication(A,B)))))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1002]
% 242.64/242.78  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1004]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1007]
% 242.64/242.78  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1008]
% 242.64/242.78  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 242.64/242.78  A addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1009]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 242.64/242.78  B addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1010]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1018]
% 242.64/242.78  leq(multiplication(A,codomain(B)) addition multiplication(A,coantidomain(C)),A)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1019]
% 242.64/242.78  leq(multiplication(coantidomain(A),B) addition multiplication(B,codomain(C)),B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1022]
% 242.64/242.78  leq(multiplication(codomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1023]
% 242.64/242.78  leq(multiplication(A,coantidomain(B)) addition multiplication(A,coantidomain(C)),A)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1024]
% 242.64/242.78  leq(multiplication(coantidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1036]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1038]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1041]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 242.64/242.78  B addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1042]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1043]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1044]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 242.64/242.78  C addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1050]
% 242.64/242.78  leq(multiplication(codomain(A),B) addition multiplication(coantidomain(C),B),B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1052]
% 242.64/242.78  leq(multiplication(coantidomain(A),B) addition multiplication(coantidomain(C),B),B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1071]
% 242.64/242.78  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 242.64/242.78  c(A) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1074]
% 242.64/242.78  c(c(A)) addition multiplication(coantidomain(B),c(A)) ->
% 242.64/242.78  c(c(A)) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1077]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(B),C))
% 242.64/242.78  -> multiplication(A,multiplication(coantidomain(B),C)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1080]
% 242.64/242.78  codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(A)) ->
% 242.64/242.78  backward_diamond(B,C) addition codomain(A) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1083]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,codomain(C))),multiplication(
% 242.64/242.78                                                                 coantidomain(C),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1084]
% 242.64/242.78  multiplication(multiplication(A,codomain(B)),multiplication(multiplication(
% 242.64/242.78                                                              coantidomain(B),C),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1095]
% 242.64/242.78  leq(multiplication(coantidomain(A),codomain(B)) addition C,one addition C) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1099]
% 242.64/242.78  leq(multiplication(coantidomain(A),coantidomain(B)) addition C,one addition C)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1100]
% 242.64/242.78  leq(multiplication(codomain(A),coantidomain(B)) addition C,one addition C) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1102]
% 242.64/242.78  leq(multiplication(c(A),coantidomain(B)) addition C,one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1105]
% 242.64/242.78  leq(multiplication(coantidomain(A),c(B)) addition C,one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1106]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(coantidomain(backward_diamond(B,A)),C))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1107]
% 242.64/242.78  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(
% 242.64/242.78                                                              backward_diamond(B,A)),C))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1108]
% 242.64/242.78  multiplication(multiplication(A,codomain(B)),multiplication(C,coantidomain(
% 242.64/242.78                                                                backward_diamond(C,B))))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1109]
% 242.64/242.78  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 242.64/242.78                                                                 backward_diamond(C,B)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1111]
% 242.64/242.78  coantidomain(codomain(B) addition multiplication(codomain(B),A)) ->
% 242.64/242.78  coantidomain(backward_diamond(one addition A,B)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1132]
% 242.64/242.78  multiplication(A,backward_diamond(B,C)) addition multiplication(A,coantidomain(
% 242.64/242.78                                                                    backward_diamond(B,C)))
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1133]
% 242.64/242.78  multiplication(backward_diamond(B,C),A) addition multiplication(coantidomain(
% 242.64/242.78                                                                  backward_diamond(B,C)),A)
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1134]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 242.64/242.78                                                                      coantidomain(C),X0),X1))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1135]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(multiplication(multiplication(
% 242.64/242.78                                                                   coantidomain(B),C),X0),X1))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1136]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,multiplication(C,X0))),
% 242.64/242.78  multiplication(coantidomain(X0),X1)) -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1141]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(multiplication(C,coantidomain(
% 242.64/242.78                                                                     multiplication(B,C))),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1147]
% 242.64/242.78  leq(forward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1148]
% 242.64/242.78  leq(backward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1152]
% 242.64/242.78  leq(forward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 242.64/242.78  one addition C) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1154]
% 242.64/242.78  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1158]
% 242.64/242.78  leq(backward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 242.64/242.78  one addition C) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1160]
% 242.64/242.78  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1167]
% 242.64/242.78  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B) addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1171]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C) addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1182]
% 242.64/242.78  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1183]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1184]
% 242.64/242.78  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1186]
% 242.64/242.78  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1187]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1188]
% 242.64/242.78  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1190]
% 242.64/242.78  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1191]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1192]
% 242.64/242.78  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one addition X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1193]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 242.64/242.78  multiplication(backward_diamond(B,C),X0)) -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1207]
% 242.64/242.78  leq(multiplication(forward_diamond(A,B),coantidomain(C)) addition X0,
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1208]
% 242.64/242.78  leq(multiplication(backward_diamond(A,B),coantidomain(C)) addition X0,
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1222]
% 242.64/242.78  leq(multiplication(coantidomain(A),forward_diamond(B,C)) addition X0,
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1223]
% 242.64/242.78  leq(multiplication(coantidomain(A),backward_diamond(B,C)) addition X0,
% 242.64/242.78  one addition X0) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1226]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 242.64/242.78                                                                     backward_diamond(C,B)),X0)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1228]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 242.64/242.78                                                       coantidomain(backward_diamond(X0,C))))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1230]
% 242.64/242.78  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 242.64/242.78  coantidomain(backward_diamond(X0,C))) -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1231]
% 242.64/242.78  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 242.64/242.78                                                                      backward_diamond(C,B)),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule [1238] forward_diamond(multiplication(c(A),coantidomain(B)),A) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1242]
% 242.64/242.78  forward_diamond(multiplication(c(B),coantidomain(C)) addition A,B) ->
% 242.64/242.78  forward_diamond(A,B) collapsed.
% 242.64/242.78  Rule [1256] coantidomain(one addition A) -> zero collapsed.
% 242.64/242.78  Rule [1257] backward_diamond(coantidomain(codomain(A) addition B),A) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1259] multiplication(multiplication(A,codomain(B)),coantidomain(A)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1260]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),coantidomain(A)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1261] multiplication(multiplication(A,B),coantidomain(B addition C)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1262] multiplication(A,multiplication(coantidomain(A addition B),C)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1266]
% 242.64/242.78  codomain(A) addition coantidomain(coantidomain(A) addition B) -> codomain(A)
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1267]
% 242.64/242.78  backward_diamond(multiplication(coantidomain(codomain(A) addition B),C),A) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1268]
% 242.64/242.78  multiplication(multiplication(A,codomain(B)),coantidomain(A addition C)) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1269]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),coantidomain(A addition C))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1275]
% 242.64/242.78  multiplication(codomain(A),coantidomain(coantidomain(A) addition B)) ->
% 242.64/242.78  coantidomain(coantidomain(A) addition B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1276]
% 242.64/242.78  multiplication(coantidomain(A),coantidomain(codomain(A) addition B)) ->
% 242.64/242.78  coantidomain(codomain(A) addition B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1277]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(coantidomain(B addition C),X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1278]
% 242.64/242.78  multiplication(multiplication(A,multiplication(B,C)),coantidomain(C addition X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1279]
% 242.64/242.78  backward_diamond(coantidomain(codomain(B) addition C) addition A,B) ->
% 242.64/242.78  backward_diamond(A,B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1282]
% 242.64/242.78  codomain(coantidomain(A) addition B) addition coantidomain(A) ->
% 242.64/242.78  codomain(coantidomain(A) addition B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1284]
% 242.64/242.78  backward_diamond(coantidomain(backward_diamond(A,B) addition C),multiplication(
% 242.64/242.78                                                                  codomain(B),A))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1285]
% 242.64/242.78  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A) addition C)),B)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1286]
% 242.64/242.78  backward_diamond(multiplication(multiplication(coantidomain(codomain(A) addition B),C),X0),A)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1316]
% 242.64/242.78  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C) addition X0)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1317]
% 242.64/242.78  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C) addition X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1338]
% 242.64/242.78  codomain(multiplication(coantidomain(A),B)) ->
% 242.64/242.78  backward_diamond(B,coantidomain(A)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1339]
% 242.64/242.78  backward_diamond(coantidomain(B) addition A,B) -> backward_diamond(A,B)
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1340]
% 242.64/242.78  backward_diamond(multiplication(multiplication(coantidomain(A),B),C),A) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1342]
% 242.64/242.78  backward_diamond(multiplication(codomain(A),B),coantidomain(A)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1345]
% 242.64/242.78  coantidomain(multiplication(coantidomain(A),B)) ->
% 242.64/242.78  coantidomain(backward_diamond(B,coantidomain(A))) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1346]
% 242.64/242.78  codomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 242.64/242.78  backward_diamond(multiplication(B,C),coantidomain(A)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1348]
% 242.64/242.78  backward_diamond(coantidomain(backward_diamond(A,coantidomain(B))),multiplication(
% 242.64/242.78                                                                     coantidomain(B),A))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1349]
% 242.64/242.78  backward_diamond(multiplication(multiplication(multiplication(coantidomain(A),B),C),X0),A)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1350]
% 242.64/242.78  codomain(coantidomain(A) addition multiplication(coantidomain(A),B)) ->
% 242.64/242.78  backward_diamond(one addition B,coantidomain(A)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1353]
% 242.64/242.78  coantidomain(backward_diamond(codomain(A),multiplication(B,coantidomain(A))))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1354]
% 242.64/242.78  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,A)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1355]
% 242.64/242.78  coantidomain(backward_diamond(multiplication(codomain(A),B),multiplication(C,
% 242.64/242.78                                                              coantidomain(A))))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1356]
% 242.64/242.78  coantidomain(backward_diamond(coantidomain(multiplication(A,B)),multiplication(
% 242.64/242.78                                                                  multiplication(C,A),B)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1358]
% 242.64/242.78  coantidomain(backward_diamond(multiplication(A,coantidomain(multiplication(B,A))),
% 242.64/242.78               multiplication(C,B))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1359]
% 242.64/242.78  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 242.64/242.78                                                                  multiplication(X0,A))))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1361]
% 242.64/242.78  coantidomain(backward_diamond(multiplication(multiplication(coantidomain(A),B),C),
% 242.64/242.78               multiplication(X0,A))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1365] coantidomain(backward_diamond(coantidomain(A addition B),A)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1366]
% 242.64/242.78  multiplication(coantidomain(multiplication(A,B)),backward_diamond(B,A)) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule [1369] backward_diamond(coantidomain(A),multiplication(B,A)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1371]
% 242.64/242.78  coantidomain(backward_diamond(coantidomain(A),multiplication(B,codomain(A))))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1373]
% 242.64/242.78  backward_diamond(multiplication(coantidomain(B),C) addition A,B) ->
% 242.64/242.78  backward_diamond(A,B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1395]
% 242.64/242.78  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A)) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1407] multiplication(multiplication(A,coantidomain(B)),c(C)) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1409] multiplication(multiplication(coantidomain(A),B),c(C)) addition B -> B
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1416] multiplication(multiplication(A,c(B)),coantidomain(C)) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1417] multiplication(coantidomain(B),multiplication(A,c(C))) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1420] leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1423] leq(multiplication(coantidomain(A),multiplication(B,c(C))),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1425] multiplication(multiplication(A,c(B)),coantidomain(A)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1435] leq(c(codomain(A)),coantidomain(A)) -> true collapsed.
% 242.64/242.78  Rule [1436] leq(c(coantidomain(A)),codomain(A)) -> true collapsed.
% 242.64/242.78  Rule [1439] c(codomain(A)) addition coantidomain(A) -> coantidomain(A)
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1440] c(coantidomain(A)) addition codomain(A) -> codomain(A) collapsed.
% 242.64/242.78  Rule [1441] c(forward_diamond(A,coantidomain(A))) -> one collapsed.
% 242.64/242.78  Rule [1445] multiplication(c(A),multiplication(coantidomain(B),A)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1449] coantidomain(backward_diamond(A,c(A addition B))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1450] multiplication(c(c(A)),coantidomain(c(A))) -> coantidomain(c(A))
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1457] leq(c(codomain(A)),coantidomain(A) addition B) -> true collapsed.
% 242.64/242.78  Rule [1458] leq(c(coantidomain(A)),codomain(A) addition B) -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1462]
% 242.64/242.78  c(forward_diamond(codomain(A),multiplication(coantidomain(A),c(c(B))))) ->
% 242.64/242.78  one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1464] multiplication(c(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1467] c(coantidomain(A) addition B) addition codomain(A) -> codomain(A)
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1468] c(forward_diamond(multiplication(A,B),coantidomain(B))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1469] c(forward_diamond(A,multiplication(coantidomain(A),B))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1474]
% 242.64/242.78  multiplication(multiplication(A,c(B)),coantidomain(A addition C)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1476] multiplication(c(A),multiplication(B,coantidomain(C))) addition B -> B
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1479] multiplication(c(A),multiplication(coantidomain(B),C)) addition C -> C
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1482] multiplication(multiplication(c(A),B),coantidomain(C)) addition B -> B
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1483] multiplication(coantidomain(A),multiplication(c(B),C)) addition C -> C
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1485] leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1487] leq(multiplication(multiplication(coantidomain(A),B),c(C)),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1491] leq(multiplication(multiplication(c(A),B),coantidomain(C)),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1493] leq(multiplication(c(A),multiplication(B,coantidomain(C))),B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1495] leq(multiplication(c(A),multiplication(coantidomain(B),C)),C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1500] leq(multiplication(coantidomain(A),multiplication(c(B),C)),C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1501]
% 242.64/242.78  multiplication(c(A addition B),multiplication(coantidomain(C),A)) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1505]
% 242.64/242.78  c(forward_diamond(multiplication(A,B),multiplication(coantidomain(B),c(c(C)))))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1507]
% 242.64/242.78  c(forward_diamond(A,multiplication(multiplication(coantidomain(A),B),c(c(C)))))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1510]
% 242.64/242.78  c(forward_diamond(A,multiplication(coantidomain(A addition B),c(c(C))))) ->
% 242.64/242.78  one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1511]
% 242.64/242.78  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,c(A)))) ->
% 242.64/242.78  one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1514]
% 242.64/242.78  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A)) ->
% 242.64/242.78  zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1515]
% 242.64/242.78  multiplication(A,multiplication(coantidomain(B),codomain(C))) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1516]
% 242.64/242.78  multiplication(multiplication(coantidomain(B),codomain(C)),A) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1524]
% 242.64/242.78  multiplication(multiplication(A,c(coantidomain(B))),codomain(B)) ->
% 242.64/242.78  multiplication(A,c(coantidomain(B))) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1525]
% 242.64/242.78  multiplication(multiplication(A,c(codomain(B))),coantidomain(B)) ->
% 242.64/242.78  multiplication(A,c(codomain(B))) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1526]
% 242.64/242.78  codomain(B) addition multiplication(c(A),coantidomain(B)) ->
% 242.64/242.78  c(A) addition codomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1527]
% 242.64/242.78  codomain(A) addition multiplication(coantidomain(A),c(B)) ->
% 242.64/242.78  c(B) addition codomain(A) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1531]
% 242.64/242.78  multiplication(A,multiplication(codomain(B),coantidomain(C))) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1532]
% 242.64/242.78  multiplication(multiplication(codomain(B),coantidomain(C)),A) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1533]
% 242.64/242.78  coantidomain(A) addition multiplication(codomain(A),c(B)) ->
% 242.64/242.78  c(B) addition coantidomain(A) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1534]
% 242.64/242.78  coantidomain(A) addition multiplication(c(B),codomain(A)) ->
% 242.64/242.78  c(B) addition coantidomain(A) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1535]
% 242.64/242.78  c(forward_diamond(multiplication(A,coantidomain(B)),codomain(B))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1536]
% 242.64/242.78  c(forward_diamond(coantidomain(A),multiplication(codomain(A),B))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1541]
% 242.64/242.78  multiplication(c(codomain(A)),multiplication(coantidomain(A),B)) ->
% 242.64/242.78  multiplication(c(codomain(A)),B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1542]
% 242.64/242.78  multiplication(c(coantidomain(A)),multiplication(codomain(A),B)) ->
% 242.64/242.78  multiplication(c(coantidomain(A)),B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1543]
% 242.64/242.78  multiplication(multiplication(c(coantidomain(A)),B),coantidomain(backward_diamond(B,A)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule [1548] leq(c(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule [1549] leq(c(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1551]
% 242.64/242.78  multiplication(c(coantidomain(A) addition B),codomain(A)) ->
% 242.64/242.78  c(coantidomain(A) addition B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1552]
% 242.64/242.78  multiplication(c(codomain(A) addition B),coantidomain(A)) ->
% 242.64/242.78  c(codomain(A) addition B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1557]
% 242.64/242.78  c(forward_diamond(multiplication(A,coantidomain(B)),multiplication(codomain(B),
% 242.64/242.78                                                      c(c(C))))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1558]
% 242.64/242.78  c(forward_diamond(coantidomain(A),multiplication(multiplication(codomain(A),B),
% 242.64/242.78                                    c(c(C))))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1559]
% 242.64/242.78  multiplication(c(coantidomain(backward_diamond(A,B))),coantidomain(multiplication(B,A)))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1560]
% 242.64/242.78  c(forward_diamond(multiplication(A,codomain(B)),multiplication(coantidomain(B),
% 242.64/242.78                                                  c(c(C))))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1561]
% 242.64/242.78  c(forward_diamond(codomain(A),multiplication(multiplication(coantidomain(A),B),
% 242.64/242.78                                c(c(C))))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1562]
% 242.64/242.78  codomain(c(A)) addition coantidomain(backward_diamond(c(A),c(A))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1563]
% 242.64/242.78  leq(coantidomain(c(A)),coantidomain(backward_diamond(c(A),c(A)))) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1564]
% 242.64/242.78  coantidomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 242.64/242.78  coantidomain(backward_diamond(multiplication(B,C),coantidomain(A)))
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1566]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),forward_diamond(C,X0)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1568]
% 242.64/242.78  multiplication(multiplication(coantidomain(A),B),forward_diamond(C,X0)) addition B
% 242.64/242.78  -> B collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1575]
% 242.64/242.78  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1576]
% 242.64/242.78  multiplication(coantidomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1579]
% 242.64/242.78  leq(multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)),A)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1582]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(B,forward_diamond(C,X0))),B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1583]
% 242.64/242.78  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A addition X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1585]
% 242.64/242.78  multiplication(forward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 242.64/242.78  -> C collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1587]
% 242.64/242.78  multiplication(forward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 242.64/242.78  -> X0 collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1594]
% 242.64/242.78  multiplication(multiplication(forward_diamond(B,C),A),coantidomain(X0)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1595]
% 242.64/242.78  multiplication(coantidomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1598]
% 242.64/242.78  leq(multiplication(multiplication(forward_diamond(A,B),C),coantidomain(X0)),C)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1601]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1604]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1606]
% 242.64/242.78  multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)) addition B
% 242.64/242.78  -> B collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1609]
% 242.64/242.78  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1610]
% 242.64/242.78  multiplication(coantidomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1612]
% 242.64/242.78  leq(multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)),A)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1614]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1615]
% 242.64/242.78  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A addition X0))
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1621]
% 242.64/242.78  multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 242.64/242.78  -> C collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1623]
% 242.64/242.78  multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 242.64/242.78  -> X0 collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1626]
% 242.64/242.78  multiplication(multiplication(backward_diamond(B,C),A),coantidomain(X0)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1627]
% 242.64/242.78  multiplication(coantidomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1629]
% 242.64/242.78  leq(multiplication(multiplication(backward_diamond(A,B),C),coantidomain(X0)),C)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1631]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1636]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 242.64/242.78               codomain(C)) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1637]
% 242.64/242.78  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 242.64/242.78                                          codomain(C))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1638]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 242.64/242.78               coantidomain(C)) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1639]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 242.64/242.78                                              codomain(C))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1640]
% 242.64/242.78  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1641]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1642]
% 242.64/242.78  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1643]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),codomain(B)),codomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1644]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),codomain(B)),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1645]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1646]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1647]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),codomain(B)),c(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1648]
% 242.64/242.78  one addition multiplication(c(A),multiplication(coantidomain(B),codomain(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1651]
% 242.64/242.78  one addition multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1652]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 242.64/242.78                                              codomain(C))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1654]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(codomain(B),codomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1657]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1659]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(codomain(B),codomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1664]
% 242.64/242.78  one addition multiplication(multiplication(c(A),codomain(B)),coantidomain(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1665]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(c(B),codomain(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1667]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1670]
% 242.64/242.78  leq(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1672]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1677]
% 242.64/242.78  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 242.64/242.78               codomain(C)) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1678]
% 242.64/242.78  one addition multiplication(codomain(A),multiplication(codomain(B),coantidomain(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1679]
% 242.64/242.78  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 242.64/242.78               coantidomain(C)) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1680]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 242.64/242.78                                              coantidomain(C))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1681]
% 242.64/242.78  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1682]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1683]
% 242.64/242.78  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1684]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),coantidomain(B)),codomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1685]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1686]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1687]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1688]
% 242.64/242.78  one addition multiplication(multiplication(codomain(A),coantidomain(B)),c(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1689]
% 242.64/242.78  one addition multiplication(c(A),multiplication(codomain(B),coantidomain(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1693]
% 242.64/242.78  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 242.64/242.78                                               coantidomain(A))) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1694]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 242.64/242.78               codomain(C)) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1695]
% 242.64/242.78  one addition multiplication(multiplication(c(A),coantidomain(B)),codomain(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1696]
% 242.64/242.78  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),A)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1697]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 242.64/242.78                                                   coantidomain(A))) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1701]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),c(B)),codomain(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1707]
% 242.64/242.78  one addition multiplication(multiplication(codomain(A),c(B)),coantidomain(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1708]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(codomain(B),c(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1710]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1713]
% 242.64/242.78  leq(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1715]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(codomain(B),c(C))),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1723]
% 242.64/242.78  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 242.64/242.78                                          coantidomain(C))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1724]
% 242.64/242.78  one addition multiplication(codomain(A),multiplication(c(B),coantidomain(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1727]
% 242.64/242.78  one addition multiplication(codomain(A),multiplication(coantidomain(B),c(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1728]
% 242.64/242.78  multiplication(A,multiplication(coantidomain(B),coantidomain(C))) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1729]
% 242.64/242.78  multiplication(multiplication(coantidomain(B),coantidomain(C)),A) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1730] multiplication(A,multiplication(c(B),coantidomain(C))) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1731] multiplication(multiplication(c(B),coantidomain(C)),A) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1732]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 242.64/242.78               coantidomain(C)) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1733]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 242.64/242.78                                              coantidomain(C))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1734]
% 242.64/242.78  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1735]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1736]
% 242.64/242.78  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1737]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),codomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1738]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1739]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1740]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1741]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 242.64/242.78               c(C)) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1742]
% 242.64/242.78  one addition multiplication(c(A),multiplication(coantidomain(B),coantidomain(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1743]
% 242.64/242.78  one addition multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1744]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(c(B),coantidomain(C)))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1745]
% 242.64/242.78  leq(codomain(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1746]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(c(B),coantidomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1747] leq(c(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1748]
% 242.64/242.78  leq(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1749]
% 242.64/242.78  leq(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1750]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1751]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1752]
% 242.64/242.78  one addition multiplication(multiplication(c(A),coantidomain(B)),c(C)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1753]
% 242.64/242.78  one addition multiplication(c(A),multiplication(c(B),coantidomain(C))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1754]
% 242.64/242.78  multiplication(A,multiplication(forward_diamond(B,C),coantidomain(X0))) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1755]
% 242.64/242.78  multiplication(multiplication(forward_diamond(B,C),coantidomain(X0)),A) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1756]
% 242.64/242.78  multiplication(A,multiplication(backward_diamond(B,C),coantidomain(X0))) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1757]
% 242.64/242.78  multiplication(multiplication(backward_diamond(B,C),coantidomain(X0)),A) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1758]
% 242.64/242.78  forward_diamond(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),A)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1759]
% 242.64/242.78  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 242.64/242.78                                               coantidomain(A))) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1760]
% 242.64/242.78  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),A)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1761]
% 242.64/242.78  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 242.64/242.78                                                   coantidomain(A))) -> zero
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1763]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C))
% 242.64/242.78  -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1764] multiplication(A,multiplication(coantidomain(B),c(C))) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1765] multiplication(multiplication(coantidomain(B),c(C)),A) addition A -> A
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1768]
% 242.64/242.78  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 242.64/242.78                                              c(C))) -> one collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1769]
% 242.64/242.78  leq(codomain(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1770]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(coantidomain(B),c(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1771] leq(c(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1772]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1773]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1774]
% 242.64/242.78  leq(multiplication(codomain(A),multiplication(coantidomain(B),c(C))),one) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1775]
% 242.64/242.78  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),c(C))),one)
% 242.64/242.78  -> true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1776]
% 242.64/242.78  one addition multiplication(multiplication(coantidomain(A),c(B)),c(C)) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1777]
% 242.64/242.78  one addition multiplication(c(A),multiplication(coantidomain(B),c(C))) -> one
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1778]
% 242.64/242.78  multiplication(A,multiplication(coantidomain(B),forward_diamond(C,X0))) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1779]
% 242.64/242.78  multiplication(multiplication(coantidomain(B),forward_diamond(C,X0)),A) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1780]
% 242.64/242.78  multiplication(A,multiplication(coantidomain(B),backward_diamond(C,X0))) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1781]
% 242.64/242.78  multiplication(multiplication(coantidomain(B),backward_diamond(C,X0)),A) addition A
% 242.64/242.78  -> A collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1784]
% 242.64/242.78  backward_diamond(multiplication(multiplication(A,coantidomain(backward_diamond(A,B))),C),B)
% 242.64/242.78  -> zero collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1785]
% 242.64/242.78  multiplication(c(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 242.64/242.78  -> c(backward_diamond(A,B)) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1787]
% 242.64/242.78  multiplication(c(c(A)),multiplication(coantidomain(c(A)),B)) ->
% 242.64/242.78  multiplication(coantidomain(c(A)),B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1789]
% 242.64/242.78  c(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 242.64/242.78  c(A) addition coantidomain(B) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1790]
% 242.64/242.78  coantidomain(codomain(A) addition B) addition coantidomain(A) ->
% 242.64/242.78  coantidomain(A) collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1801]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1802]
% 242.64/242.78  leq(coantidomain(A) addition multiplication(c(B),C),one addition C) -> true
% 242.64/242.78  collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1806]
% 242.64/242.78  leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1808]
% 242.64/242.78  leq(multiplication(multiplication(coantidomain(A),B),c(C)),B addition X0) ->
% 242.64/242.78  true collapsed.
% 242.64/242.78  Rule
% 242.64/242.78  [1811]
% 242.64/242.78  multiplication(multiplication(c(codomain(A)),B),coantidomain(backward_diamond(B,
% 242.64/242.79                                                               coantidomain(A))))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1812]
% 242.64/242.79  multiplication(c(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 242.64/242.79  -> c(coantidomain(backward_diamond(A,B))) collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1817]
% 242.64/242.79  leq(multiplication(A,c(C)) addition multiplication(A,coantidomain(B)),A) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1818]
% 242.64/242.79  leq(multiplication(coantidomain(A),B) addition multiplication(B,c(C)),B) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1821]
% 242.64/242.79  leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A addition X0) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1822]
% 242.64/242.79  leq(multiplication(multiplication(c(A),B),coantidomain(C)),B addition X0) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1824]
% 242.64/242.79  leq(multiplication(c(A),B) addition multiplication(B,coantidomain(C)),B) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1826]
% 242.64/242.79  leq(multiplication(c(A),multiplication(B,coantidomain(C))),B addition X0) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1828]
% 242.64/242.79  leq(multiplication(c(A),multiplication(coantidomain(B),C)),C addition X0) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1833]
% 242.64/242.79  leq(multiplication(c(C),B) addition multiplication(coantidomain(A),B),B) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1836]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(B,c(C))),B addition X0) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1837]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(c(B),C)),C addition X0) ->
% 242.64/242.79  true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1839]
% 242.64/242.79  c(forward_diamond(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),
% 242.64/242.79                                        c(c(X0))))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1842]
% 242.64/242.79  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),c(
% 242.64/242.79                                                                      multiplication(A,B))))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1843]
% 242.64/242.79  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 242.64/242.79                                                                     c(A)))))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1844]
% 242.64/242.79  coantidomain(backward_diamond(multiplication(A,B),multiplication(c(multiplication(C,A)),C)))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1845]
% 242.64/242.79  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 242.64/242.79                                                                      c(A))))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1846]
% 242.64/242.79  c(forward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 242.64/242.79                                                        backward_diamond(A,B),
% 242.64/242.79                                                        c(c(C))))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1867]
% 242.64/242.79  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1868]
% 242.64/242.79  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1869]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 242.64/242.79               forward_diamond(C,X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1870]
% 242.64/242.79  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 242.64/242.79                                                   codomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1871]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 242.64/242.79               backward_diamond(C,X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1872]
% 242.64/242.79  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 242.64/242.79                                                    codomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1887]
% 242.64/242.79  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1888]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 242.64/242.79                                              codomain(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1890]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1893]
% 242.64/242.79  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1895]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 242.64/242.79                                     codomain(X0))),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1898]
% 242.64/242.79  leq(backward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1899]
% 242.64/242.79  leq(forward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1900]
% 242.64/242.79  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 242.64/242.79               forward_diamond(C,X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1901]
% 242.64/242.79  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 242.64/242.79                                                   coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1902]
% 242.64/242.79  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 242.64/242.79               backward_diamond(C,X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1903]
% 242.64/242.79  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 242.64/242.79                                                    coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1906]
% 242.64/242.79  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1907]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 242.64/242.79                                              codomain(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1909]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1912]
% 242.64/242.79  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 242.64/242.79      coantidomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1914]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 242.64/242.79                                     codomain(X0))),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1917]
% 242.64/242.79  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 242.64/242.79               codomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1918]
% 242.64/242.79  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 242.64/242.79               codomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1921]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 242.64/242.79               codomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1922]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 242.64/242.79               codomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1930]
% 242.64/242.79  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1931]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 242.64/242.79                                              forward_diamond(C,X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1933]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1936]
% 242.64/242.79  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1938]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1942]
% 242.64/242.79  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1943]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 242.64/242.79                                              backward_diamond(C,X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1945]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1948]
% 242.64/242.79  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 242.64/242.79      coantidomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1950]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1953]
% 242.64/242.79  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 242.64/242.79                                          coantidomain(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1954]
% 242.64/242.79  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 242.64/242.79                                          coantidomain(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1955]
% 242.64/242.79  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 242.64/242.79                                          forward_diamond(C,X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1956]
% 242.64/242.79  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 242.64/242.79                                          backward_diamond(C,X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1957]
% 242.64/242.79  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1958]
% 242.64/242.79  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1959]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 242.64/242.79               forward_diamond(C,X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1960]
% 242.64/242.79  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 242.64/242.79                                                   coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1961]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 242.64/242.79               backward_diamond(C,X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1962]
% 242.64/242.79  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 242.64/242.79                                                    coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1963]
% 242.64/242.79  leq(backward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1964]
% 242.64/242.79  leq(forward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1965]
% 242.64/242.79  one addition multiplication(multiplication(c(A),coantidomain(B)),forward_diamond(C,X0))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1966]
% 242.64/242.79  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 242.64/242.79                                                   coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1967]
% 242.64/242.79  one addition multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1968]
% 242.64/242.79  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 242.64/242.79                                                    coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1969]
% 242.64/242.79  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1970]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 242.64/242.79                                              coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1971]
% 242.64/242.79  leq(codomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1972]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1973]
% 242.64/242.79  leq(c(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1974]
% 242.64/242.79  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 242.64/242.79      codomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1975]
% 242.64/242.79  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 242.64/242.79      coantidomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1976]
% 242.64/242.79  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),coantidomain(X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1977]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 242.64/242.79                                     coantidomain(X0))),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1978]
% 242.64/242.79  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 242.64/242.79               c(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1979]
% 242.64/242.79  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 242.64/242.79                                   coantidomain(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1980]
% 242.64/242.79  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1981]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 242.64/242.79                                              coantidomain(X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1982]
% 242.64/242.79  leq(codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1983]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1984]
% 242.64/242.79  leq(c(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1985]
% 242.64/242.79  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 242.64/242.79      codomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1986]
% 242.64/242.79  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 242.64/242.79      coantidomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1987]
% 242.64/242.79  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),coantidomain(X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1988]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 242.64/242.79                                     coantidomain(X0))),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1989]
% 242.64/242.79  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 242.64/242.79               c(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1990]
% 242.64/242.79  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 242.64/242.79                                   coantidomain(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1991]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1992]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 242.64/242.79               coantidomain(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1993]
% 242.64/242.79  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1994]
% 242.64/242.79  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1995]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),c(B)),forward_diamond(C,X0))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1996]
% 242.64/242.79  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 242.64/242.79                                                   c(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1997]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1998]
% 242.64/242.79  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 242.64/242.79                                                    c(X0))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [1999]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 242.64/242.79                                              forward_diamond(C,X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2000]
% 242.64/242.79  leq(codomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2001]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2002]
% 242.64/242.79  leq(c(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2003]
% 242.64/242.79  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 242.64/242.79      codomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2004]
% 242.64/242.79  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 242.64/242.79      coantidomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2005]
% 242.64/242.79  leq(multiplication(codomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2006]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2007]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 242.64/242.79               c(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2008]
% 242.64/242.79  one addition multiplication(c(A),multiplication(coantidomain(B),forward_diamond(C,X0)))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2009]
% 242.64/242.79  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 242.64/242.79                                              backward_diamond(C,X0))) -> one
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2010]
% 242.64/242.79  leq(codomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2011]
% 242.64/242.79  leq(coantidomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2012]
% 242.64/242.79  leq(c(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2013]
% 242.64/242.79  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 242.64/242.79      codomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2014]
% 242.64/242.79  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 242.64/242.79      coantidomain(X0)),one) -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2015]
% 242.64/242.79  leq(multiplication(codomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2016]
% 242.64/242.79  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2017]
% 242.64/242.79  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 242.64/242.79               c(X0)) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2018]
% 242.64/242.79  one addition multiplication(c(A),multiplication(coantidomain(B),backward_diamond(C,X0)))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2019]
% 242.64/242.79  coantidomain(backward_diamond(backward_diamond(A,B),multiplication(C,
% 242.64/242.79                                                      coantidomain(backward_diamond(A,B)))))
% 242.64/242.79  -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2021]
% 242.64/242.79  coantidomain(backward_diamond(multiplication(backward_diamond(A,B),C),
% 242.64/242.79               coantidomain(backward_diamond(A,B)))) -> one collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2023]
% 242.64/242.79  multiplication(c(A),multiplication(coantidomain(c(c(A))),B)) ->
% 242.64/242.79  multiplication(coantidomain(c(c(A))),B) collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2027]
% 242.64/242.79  c(c(A)) addition multiplication(c(A),coantidomain(B)) ->
% 242.64/242.79  c(c(A)) addition coantidomain(B) collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2028]
% 242.64/242.79  multiplication(multiplication(A,multiplication(B,codomain(C))),coantidomain(
% 242.64/242.79                                                                 multiplication(A,B)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2029]
% 242.64/242.79  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(A),C))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2031]
% 242.64/242.79  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 242.64/242.79                                                             codomain(A),C)) ->
% 242.64/242.79  zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2032]
% 242.64/242.79  multiplication(multiplication(multiplication(A,B),codomain(C)),multiplication(
% 242.64/242.79                                                                 coantidomain(B),X0))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2033]
% 242.64/242.79  multiplication(multiplication(codomain(A),codomain(B)),coantidomain(A)) ->
% 242.64/242.79  zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2034]
% 242.64/242.79  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 242.64/242.79                                                         coantidomain(A),C)) ->
% 242.64/242.79  zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2035]
% 242.64/242.79  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 242.64/242.79                                                                 multiplication(A,C)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2036]
% 242.64/242.79  multiplication(coantidomain(A),multiplication(codomain(B),codomain(A))) ->
% 242.64/242.79  zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2037]
% 242.64/242.79  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(B)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2039]
% 242.64/242.79  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 242.64/242.79                                                   codomain(B))) -> zero
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2040]
% 242.64/242.79  multiplication(multiplication(A,B),multiplication(codomain(C),multiplication(
% 242.64/242.79                                                                coantidomain(B),X0)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2041]
% 242.64/242.79  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 242.64/242.79                                               coantidomain(B))) -> zero
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2042]
% 242.64/242.79  multiplication(multiplication(A,multiplication(codomain(B),C)),coantidomain(
% 242.64/242.79                                                                 multiplication(A,C)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2043]
% 242.64/242.79  multiplication(coantidomain(backward_diamond(A,B)),multiplication(codomain(C),
% 242.64/242.79                                                     backward_diamond(A,B))) ->
% 242.64/242.79  zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2044]
% 242.64/242.79  multiplication(multiplication(A,multiplication(B,coantidomain(C))),coantidomain(
% 242.64/242.79                                                                     multiplication(A,B)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2045]
% 242.64/242.79  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(A),C))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2046]
% 242.64/242.79  leq(multiplication(multiplication(A,coantidomain(B)),C),multiplication(A,C))
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2047]
% 242.64/242.79  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 242.64/242.79                                                                 codomain(A),C))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2048]
% 242.64/242.79  multiplication(multiplication(multiplication(A,B),coantidomain(C)),multiplication(
% 242.64/242.79                                                                     coantidomain(B),X0))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2049]
% 242.64/242.79  multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(A))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2050]
% 242.64/242.79  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 242.64/242.79                                                             coantidomain(A),C))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2051]
% 242.64/242.79  multiplication(multiplication(multiplication(A,coantidomain(B)),C),coantidomain(
% 242.64/242.79                                                                     multiplication(A,C)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2052]
% 242.64/242.79  multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(A)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2053]
% 242.64/242.79  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(B)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2054]
% 242.64/242.79  leq(multiplication(A,multiplication(coantidomain(B),C)),multiplication(A,C))
% 242.64/242.79  -> true collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2055]
% 242.64/242.79  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 242.64/242.79                                                   codomain(B))) -> zero
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2056]
% 242.64/242.79  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(
% 242.64/242.79                                                                    coantidomain(B),X0)))
% 242.64/242.79  -> zero collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2057]
% 242.64/242.79  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 242.64/242.79                                               coantidomain(B))) -> zero
% 242.64/242.79  collapsed.
% 242.64/242.79  Rule
% 242.64/242.79  [2058]
% 242.64/242.79  multiplication(multiplication(A,multiplication(coantidomain(B),C)),coantidomain(
% 242.70/242.79                                                                     multiplication(A,C)))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2059]
% 242.70/242.79  multiplication(coantidomain(backward_diamond(A,B)),multiplication(coantidomain(C),
% 242.70/242.79                                                     backward_diamond(A,B))) ->
% 242.70/242.79  zero collapsed.
% 242.70/242.79  Rule [2060] forward_diamond(codomain(A),coantidomain(A)) -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2061]
% 242.70/242.79  forward_diamond(coantidomain(backward_diamond(A,B)),backward_diamond(A,B)) ->
% 242.70/242.79  zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2063]
% 242.70/242.79  forward_diamond(multiplication(multiplication(A,c(B)),coantidomain(C)),B) ->
% 242.70/242.79  zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2066]
% 242.70/242.79  forward_diamond(multiplication(A,multiplication(c(B),coantidomain(C))),B) ->
% 242.70/242.79  zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2073]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),codomain(B)),c(C)),one) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2076]
% 242.70/242.79  leq(multiplication(multiplication(codomain(A),coantidomain(B)),c(C)),one) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2078]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),c(C)),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2079]
% 242.70/242.79  leq(multiplication(multiplication(c(A),coantidomain(B)),c(C)),one) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2080]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),c(B)),c(C)),one) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule [2083] leq(coantidomain(A),c(c(coantidomain(A)))) -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2085]
% 242.70/242.79  c(c(coantidomain(A))) addition coantidomain(A) -> c(c(coantidomain(A)))
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule [2089] leq(coantidomain(A),c(c(coantidomain(A))) addition B) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2090] codomain(A) addition coantidomain(backward_diamond(A,c(c(A)))) -> one
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2091] leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A))))) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2093] multiplication(multiplication(c(A),coantidomain(B)),c(c(A))) -> zero
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule [2097] multiplication(codomain(A),c(c(coantidomain(A)))) -> zero
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2099]
% 242.70/242.79  multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))) -> zero
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2100]
% 242.70/242.79  multiplication(coantidomain(A),multiplication(c(c(codomain(A))),B)) -> zero
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2101]
% 242.70/242.79  coantidomain(backward_diamond(c(c(codomain(A))),coantidomain(A))) -> one
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2103] coantidomain(backward_diamond(c(c(A)),multiplication(B,c(A)))) -> one
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2104] coantidomain(backward_diamond(multiplication(c(c(A)),B),c(A))) -> one
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2107]
% 242.70/242.79  multiplication(coantidomain(backward_diamond(A,B)),c(c(backward_diamond(A,B))))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2108]
% 242.70/242.79  multiplication(coantidomain(A),multiplication(codomain(B),c(c(codomain(A)))))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2109]
% 242.70/242.79  multiplication(coantidomain(A),multiplication(coantidomain(B),c(c(codomain(A)))))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule [2111] multiplication(coantidomain(A),c(codomain(A))) -> coantidomain(A)
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2112]
% 242.70/242.79  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 242.70/242.79                                                                  codomain(A))))
% 242.70/242.79  -> one collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2118]
% 242.70/242.79  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 242.70/242.79      c(X0)),one) -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2119]
% 242.70/242.79  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 242.70/242.79      c(X0)),one) -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2120]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 242.70/242.79      c(X0)),one) -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2121]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 242.70/242.79      c(X0)),one) -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2122]
% 242.70/242.79  leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A)))) addition B) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2125]
% 242.70/242.79  leq(coantidomain(A) addition B,c(c(coantidomain(A))) addition B) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2127]
% 242.70/242.79  multiplication(multiplication(A,coantidomain(B)),multiplication(c(c(codomain(B))),C))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2129]
% 242.70/242.79  multiplication(multiplication(A,c(B)),multiplication(coantidomain(C),c(c(B))))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2131]
% 242.70/242.79  multiplication(multiplication(c(A),coantidomain(B)),multiplication(c(c(A)),C))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2133]
% 242.70/242.79  multiplication(c(c(A)),coantidomain(c(A) addition B)) ->
% 242.70/242.79  coantidomain(c(A) addition B) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2134]
% 242.70/242.79  coantidomain(backward_diamond(multiplication(c(c(A)),B),multiplication(C,
% 242.70/242.79                                                          c(A)))) -> one
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2135]
% 242.70/242.79  leq(codomain(A) addition codomain(B) addition coantidomain(C),one) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2140]
% 242.70/242.79  leq(codomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2141]
% 242.70/242.79  leq(forward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2142] leq(c(A) addition codomain(B) addition coantidomain(C),one) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2143]
% 242.70/242.79  leq(backward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2147]
% 242.70/242.79  leq(coantidomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2148]
% 242.70/242.79  leq(forward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2149]
% 242.70/242.79  leq(c(A) addition coantidomain(B) addition coantidomain(C),one) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2150]
% 242.70/242.79  leq(backward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2151]
% 242.70/242.79  leq(forward_diamond(A,B) addition c(C) addition coantidomain(X0),one) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule [2152] leq(c(A) addition c(B) addition coantidomain(C),one) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2153]
% 242.70/242.79  leq(backward_diamond(A,B) addition c(C) addition coantidomain(X0),one) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2159]
% 242.70/242.79  codomain(C) addition multiplication(coantidomain(C),forward_diamond(A,B)) ->
% 242.70/242.79  forward_diamond(A,B) addition codomain(C) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2160]
% 242.70/242.79  coantidomain(C) addition multiplication(codomain(C),forward_diamond(A,B)) ->
% 242.70/242.79  forward_diamond(A,B) addition coantidomain(C) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2161]
% 242.70/242.79  codomain(C) addition multiplication(forward_diamond(A,B),coantidomain(C)) ->
% 242.70/242.79  forward_diamond(A,B) addition codomain(C) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2162]
% 242.70/242.79  coantidomain(C) addition multiplication(forward_diamond(A,B),codomain(C)) ->
% 242.70/242.79  forward_diamond(A,B) addition coantidomain(C) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2163]
% 242.70/242.79  codomain(C) addition multiplication(coantidomain(C),backward_diamond(A,B)) ->
% 242.70/242.79  backward_diamond(A,B) addition codomain(C) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2164]
% 242.70/242.79  coantidomain(C) addition multiplication(codomain(C),backward_diamond(A,B)) ->
% 242.70/242.79  backward_diamond(A,B) addition coantidomain(C) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2165]
% 242.70/242.79  coantidomain(C) addition multiplication(backward_diamond(A,B),codomain(C)) ->
% 242.70/242.79  backward_diamond(A,B) addition coantidomain(C) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2166]
% 242.70/242.79  c(c(coantidomain(A))) addition multiplication(coantidomain(B),coantidomain(A))
% 242.70/242.79  -> c(c(coantidomain(A))) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2167]
% 242.70/242.79  c(c(coantidomain(A))) addition multiplication(codomain(B),coantidomain(A)) ->
% 242.70/242.79  c(c(coantidomain(A))) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2168]
% 242.70/242.79  coantidomain(backward_diamond(A,c(c(A)))) addition coantidomain(A) ->
% 242.70/242.79  coantidomain(backward_diamond(A,c(c(A)))) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2170]
% 242.70/242.79  c(c(coantidomain(A))) addition multiplication(coantidomain(A),codomain(B)) ->
% 242.70/242.79  c(c(coantidomain(A))) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2172]
% 242.70/242.79  c(c(codomain(A))) addition multiplication(codomain(A),coantidomain(B)) ->
% 242.70/242.79  c(c(codomain(A))) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2173]
% 242.70/242.79  c(c(coantidomain(A))) addition multiplication(coantidomain(A),coantidomain(B))
% 242.70/242.79  -> c(c(coantidomain(A))) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2174]
% 242.70/242.79  c(c(codomain(A))) addition multiplication(coantidomain(B),codomain(A)) ->
% 242.70/242.79  c(c(codomain(A))) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2176]
% 242.70/242.79  multiplication(c(A),coantidomain(c(c(A)) addition B)) ->
% 242.70/242.79  coantidomain(c(c(A)) addition B) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2178] backward_diamond(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2179]
% 242.70/242.79  backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B)))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2181]
% 242.70/242.79  multiplication(multiplication(c(A),coantidomain(B)),multiplication(A,C)) ->
% 242.70/242.79  zero collapsed.
% 242.70/242.79  Rule [2182] multiplication(A,coantidomain(codomain(A) addition B)) -> zero
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2183]
% 242.70/242.79  backward_diamond(multiplication(coantidomain(A),B),coantidomain(A)) ->
% 242.70/242.79  backward_diamond(B,coantidomain(A)) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2185]
% 242.70/242.79  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(B,A)))
% 242.70/242.79  -> one collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2186] multiplication(A,coantidomain(backward_diamond(A,c(c(A))))) -> zero
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2187] multiplication(c(A),coantidomain(backward_diamond(c(A),c(A)))) -> zero
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2194]
% 242.70/242.79  leq(multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)),A)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2196]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)),B)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2200]
% 242.70/242.79  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2201]
% 242.70/242.79  leq(multiplication(coantidomain(A),codomain(B)),c(c(coantidomain(A)))) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2202]
% 242.70/242.79  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2203]
% 242.70/242.79  leq(multiplication(codomain(A),coantidomain(B)),c(c(codomain(A)))) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2204]
% 242.70/242.79  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),A) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2205]
% 242.70/242.79  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(A)))) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2206]
% 242.70/242.79  backward_diamond(coantidomain(A) addition B,coantidomain(A)) ->
% 242.70/242.79  backward_diamond(one addition B,coantidomain(A)) collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2211]
% 242.70/242.79  leq(multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))),C)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2213]
% 242.70/242.79  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)),X0)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2215]
% 242.70/242.79  leq(multiplication(codomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2217]
% 242.70/242.79  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2218]
% 242.70/242.79  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2219]
% 242.70/242.79  leq(multiplication(coantidomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2220]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C) -> true
% 242.70/242.79  collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2221]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),C) ->
% 242.70/242.79  true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2223]
% 242.70/242.79  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(B),
% 242.70/242.79                                                  multiplication(A,B)))) ->
% 242.70/242.79  zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2224]
% 242.70/242.79  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(
% 242.70/242.79                                                                backward_diamond(B,A))))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2225]
% 242.70/242.79  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(
% 242.70/242.79                                                                    backward_diamond(B,A))))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2227]
% 242.70/242.79  multiplication(multiplication(codomain(A),B),coantidomain(multiplication(B,
% 242.70/242.79                                                            backward_diamond(B,A))))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2235]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2238]
% 242.70/242.79  leq(multiplication(multiplication(codomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2240]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2241]
% 242.70/242.79  leq(multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2242]
% 242.70/242.79  leq(multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0)),one)
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2245]
% 242.70/242.79  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(
% 242.70/242.79                                                                   multiplication(A,B)),B)))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2246]
% 242.70/242.79  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 242.70/242.79                                                                    multiplication(C,B),A)))
% 242.70/242.79  -> one collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2247]
% 242.70/242.79  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(
% 242.70/242.79                                                            backward_diamond(B,A),B)))
% 242.70/242.79  -> zero collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2249]
% 242.70/242.79  leq(multiplication(A,coantidomain(B)),multiplication(A,c(c(coantidomain(B)))))
% 242.70/242.79  -> true collapsed.
% 242.70/242.79  Rule
% 242.70/242.79  [2250]
% 242.70/242.79  multiplication(c(codomain(A)),coantidomain(backward_diamond(coantidomain(A),
% 242.70/242.79                                             c(codomain(A))))) -> zero
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2251]
% 259.28/259.43  multiplication(c(coantidomain(A)),coantidomain(backward_diamond(codomain(A),
% 259.28/259.43                                                 c(coantidomain(A))))) -> zero
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2259]
% 259.28/259.43  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 259.28/259.43                                           codomain(X0))),one) -> true
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2262]
% 259.28/259.43  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),coantidomain(X0))),one)
% 259.28/259.43  -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2264]
% 259.28/259.43  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 259.28/259.43                                           coantidomain(X0))),one) -> true
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2265]
% 259.28/259.43  leq(multiplication(backward_diamond(A,B),multiplication(c(C),coantidomain(X0))),one)
% 259.28/259.43  -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2266]
% 259.28/259.43  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 259.28/259.43                                           c(X0))),one) -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2267]
% 259.28/259.43  coantidomain(backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),
% 259.28/259.43               multiplication(C,B))) -> one collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2269]
% 259.28/259.43  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A addition X0)
% 259.28/259.43  -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2270]
% 259.28/259.43  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A addition X0)
% 259.28/259.43  -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2271]
% 259.28/259.43  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),
% 259.28/259.43  A addition X0) -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2273]
% 259.28/259.43  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C addition X0)
% 259.28/259.43  -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2274]
% 259.28/259.43  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C addition X0)
% 259.28/259.43  -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2275]
% 259.28/259.43  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),
% 259.28/259.43  C addition X0) -> true collapsed.
% 259.28/259.43  Current number of equations to process: 2928
% 259.28/259.43  Current number of ordered equations: 0
% 259.28/259.43  Current number of rules: 648
% 259.28/259.43  New rule produced : [2277] multiplication(X0,c(codomain(X0))) -> zero
% 259.28/259.43  Current number of equations to process: 2924
% 259.28/259.43  Current number of ordered equations: 3
% 259.28/259.43  Current number of rules: 649
% 259.28/259.43  New rule produced : [2278] c(codomain(c(codomain(X0)))) -> codomain(X0)
% 259.28/259.43  Current number of equations to process: 2924
% 259.28/259.43  Current number of ordered equations: 2
% 259.28/259.43  Current number of rules: 650
% 259.28/259.43  New rule produced : [2279] c(codomain(X0)) addition codomain(X0) -> one
% 259.28/259.43  Current number of equations to process: 2924
% 259.28/259.43  Current number of ordered equations: 1
% 259.28/259.43  Current number of rules: 651
% 259.28/259.43  New rule produced :
% 259.28/259.43  [2280]
% 259.28/259.43  c(backward_diamond(X1,X0)) addition c(codomain(multiplication(X0,X1))) ->
% 259.28/259.43  c(backward_diamond(X1,X0))
% 259.28/259.43  Current number of equations to process: 2924
% 259.28/259.43  Current number of ordered equations: 0
% 259.28/259.43  Current number of rules: 652
% 259.28/259.43  New rule produced : [2281] backward_diamond(c(codomain(A)),A) -> zero
% 259.28/259.43  Current number of equations to process: 2923
% 259.28/259.43  Current number of ordered equations: 0
% 259.28/259.43  Current number of rules: 653
% 259.28/259.43  New rule produced : [2282] codomain(c(codomain(A))) -> c(codomain(A))
% 259.28/259.43  Rule [2278] c(codomain(c(codomain(X0)))) -> codomain(X0) collapsed.
% 259.28/259.43  Current number of equations to process: 2923
% 259.28/259.43  Current number of ordered equations: 0
% 259.28/259.43  Current number of rules: 653
% 259.28/259.43  New rule produced : [2283] c(c(codomain(X0))) -> codomain(X0)
% 259.28/259.43  Rule [2082] leq(codomain(A),c(c(codomain(A)))) -> true collapsed.
% 259.28/259.43  Rule [2084] c(c(codomain(A))) addition codomain(A) -> c(c(codomain(A)))
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule [2088] leq(codomain(A),c(c(codomain(A))) addition B) -> true collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2098] multiplication(codomain(A),c(c(codomain(A)))) -> c(c(codomain(A)))
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule [2124] leq(codomain(A) addition B,c(c(codomain(A))) addition B) -> true
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2169]
% 259.28/259.43  c(c(codomain(A))) addition multiplication(codomain(A),codomain(B)) ->
% 259.28/259.43  c(c(codomain(A))) collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2171]
% 259.28/259.43  c(c(codomain(A))) addition multiplication(codomain(B),codomain(A)) ->
% 259.28/259.43  c(c(codomain(A))) collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2199] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(A)))) -> true
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2214] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 259.28/259.43  collapsed.
% 259.28/259.43  Rule
% 259.28/259.43  [2248]
% 259.28/259.43  leq(multiplication(A,codomain(B)),multiplication(A,c(c(codomain(B))))) ->
% 259.71/259.83  true collapsed.
% 259.71/259.83  Current number of equations to process: 2922
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 644
% 259.71/259.83  New rule produced : [2284] c(codomain(one addition A)) -> zero
% 259.71/259.83  Current number of equations to process: 2921
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 645
% 259.71/259.83  New rule produced : [2285] c(forward_diamond(A,c(codomain(A)))) -> one
% 259.71/259.83  Current number of equations to process: 2920
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 646
% 259.71/259.83  New rule produced : [2286] multiplication(codomain(A),c(codomain(A))) -> zero
% 259.71/259.83  Current number of equations to process: 2919
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 647
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2287] forward_diamond(codomain(A),c(codomain(A))) -> zero
% 259.71/259.83  Current number of equations to process: 2918
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 648
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2288] multiplication(multiplication(A,B),c(codomain(B))) -> zero
% 259.71/259.83  Current number of equations to process: 2916
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 649
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2289] multiplication(A,multiplication(c(codomain(A)),B)) -> zero
% 259.71/259.83  Current number of equations to process: 2915
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 650
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2290] multiplication(A,c(codomain(A addition B))) -> zero
% 259.71/259.83  Current number of equations to process: 2914
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 651
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2291] backward_diamond(multiplication(c(codomain(A)),B),A) -> zero
% 259.71/259.83  Current number of equations to process: 2913
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 652
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2292] backward_diamond(c(codomain(A)),multiplication(B,A)) -> zero
% 259.71/259.83  Current number of equations to process: 2911
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 653
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2293] c(forward_diamond(multiplication(A,B),c(codomain(B)))) -> one
% 259.71/259.83  Current number of equations to process: 2909
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 654
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2294] multiplication(multiplication(A,codomain(B)),c(codomain(B))) -> zero
% 259.71/259.83  Current number of equations to process: 2908
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 655
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2295] c(forward_diamond(A,multiplication(c(codomain(A)),B))) -> one
% 259.71/259.83  Current number of equations to process: 2907
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 656
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2296] multiplication(codomain(A),multiplication(c(codomain(A)),B)) -> zero
% 259.71/259.83  Current number of equations to process: 2906
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 657
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2297] backward_diamond(c(codomain(codomain(A) addition B)),A) -> zero
% 259.71/259.83  Current number of equations to process: 2905
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 658
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2298] multiplication(multiplication(A,codomain(B)),c(codomain(A))) -> zero
% 259.71/259.83  Current number of equations to process: 2904
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 659
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2299]
% 259.71/259.83  codomain(multiplication(c(codomain(A)),B)) ->
% 259.71/259.83  backward_diamond(B,c(codomain(A)))
% 259.71/259.83  Current number of equations to process: 2903
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 660
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2300] backward_diamond(c(codomain(B)) addition A,B) -> backward_diamond(A,B)
% 259.71/259.83  Current number of equations to process: 2902
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 661
% 259.71/259.83  New rule produced : [2301] c(backward_diamond(A,c(A addition B))) -> one
% 259.71/259.83  Current number of equations to process: 2901
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 662
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2302] multiplication(multiplication(A,c(B)),c(codomain(A))) -> zero
% 259.71/259.83  Current number of equations to process: 2900
% 259.71/259.83  Current number of ordered equations: 0
% 259.71/259.83  Current number of rules: 663
% 259.71/259.83  New rule produced :
% 259.71/259.83  [2303] backward_diamond(c(codomain(A)),c(codomain(A))) -> c(codomain(A))
% 259.71/259.83  Current number of equations to process: 2899
% 259.71/259.83  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 664
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2304] multiplication(A,c(codomain(codomain(A) addition B))) -> zero
% 260.05/260.23  Current number of equations to process: 2898
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 665
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2305] backward_diamond(A,B) addition c(backward_diamond(A,B)) -> one
% 260.05/260.23  Current number of equations to process: 2897
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 666
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2306]
% 260.05/260.23  multiplication(multiplication(A,B),multiplication(c(codomain(B)),C)) -> zero
% 260.05/260.23  Current number of equations to process: 2896
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 667
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2307] backward_diamond(multiplication(A,c(backward_diamond(A,B))),B) -> zero
% 260.05/260.23  Current number of equations to process: 2895
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 668
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2308] multiplication(multiplication(A,B),c(backward_diamond(B,A))) -> zero
% 260.05/260.23  Current number of equations to process: 2894
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 669
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2309] multiplication(multiplication(A,B),c(codomain(B addition C))) -> zero
% 260.05/260.23  Current number of equations to process: 2892
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 670
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2310] multiplication(A,multiplication(c(codomain(A addition B)),C)) -> zero
% 260.05/260.23  Current number of equations to process: 2891
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 671
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2311]
% 260.05/260.23  backward_diamond(multiplication(multiplication(c(codomain(A)),B),C),A) ->
% 260.05/260.23  zero
% 260.05/260.23  Current number of equations to process: 2889
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 672
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2312] c(backward_diamond(c(codomain(A addition B)),A)) -> one
% 260.05/260.23  Current number of equations to process: 2887
% 260.05/260.23  Current number of ordered equations: 1
% 260.05/260.23  Current number of rules: 673
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2313]
% 260.05/260.23  multiplication(c(codomain(multiplication(A,B))),backward_diamond(B,A)) ->
% 260.05/260.23  zero
% 260.05/260.23  Current number of equations to process: 2887
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 674
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2314]
% 260.05/260.23  multiplication(multiplication(A,forward_diamond(B,C)),c(codomain(A))) -> zero
% 260.05/260.23  Current number of equations to process: 2886
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 675
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2315]
% 260.05/260.23  multiplication(multiplication(A,backward_diamond(B,C)),c(codomain(A))) ->
% 260.05/260.23  zero
% 260.05/260.23  Current number of equations to process: 2885
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 676
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2316]
% 260.05/260.23  multiplication(multiplication(codomain(A),codomain(B)),c(codomain(A))) ->
% 260.05/260.23  zero
% 260.05/260.23  Current number of equations to process: 2884
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 677
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2317] multiplication(A,c(backward_diamond(A,c(c(A))))) -> zero
% 260.05/260.23  Current number of equations to process: 2883
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 678
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2318] multiplication(c(c(A)),c(codomain(c(A)))) -> c(codomain(c(A)))
% 260.05/260.23  Current number of equations to process: 2882
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 679
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2319] c(c(codomain(A)) addition B) addition codomain(A) -> codomain(A)
% 260.05/260.23  Current number of equations to process: 2881
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 680
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2320]
% 260.05/260.23  multiplication(A,c(codomain(B))) addition multiplication(A,codomain(B)) -> A
% 260.05/260.23  Current number of equations to process: 2880
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 681
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2321]
% 260.05/260.23  multiplication(c(codomain(B)),A) addition multiplication(codomain(B),A) -> A
% 260.05/260.23  Current number of equations to process: 2879
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 682
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2322] c(backward_diamond(B,A)) addition codomain(multiplication(A,B)) -> one
% 260.05/260.23  Current number of equations to process: 2878
% 260.05/260.23  Current number of ordered equations: 0
% 260.05/260.23  Current number of rules: 683
% 260.05/260.23  New rule produced :
% 260.05/260.23  [2323]
% 260.05/260.23  backward_diamond(c(backward_diamond(A,B)),multiplication(codomain(B),A)) ->
% 260.50/260.61  zero
% 260.50/260.61  Current number of equations to process: 2877
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 684
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2324] multiplication(c(A),c(codomain(c(c(A))))) -> c(codomain(c(c(A))))
% 260.50/260.61  Current number of equations to process: 2876
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 685
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2325]
% 260.50/260.61  multiplication(multiplication(A,codomain(B)),multiplication(c(codomain(B)),C))
% 260.50/260.61  -> zero
% 260.50/260.61  Current number of equations to process: 2875
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 686
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2326]
% 260.50/260.61  multiplication(multiplication(codomain(A),B),c(backward_diamond(B,A))) ->
% 260.50/260.61  zero
% 260.50/260.61  Current number of equations to process: 2874
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 687
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2327]
% 260.50/260.61  backward_diamond(multiplication(c(codomain(codomain(A) addition B)),C),A) ->
% 260.50/260.61  zero
% 260.50/260.61  Current number of equations to process: 2873
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 688
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2328]
% 260.50/260.61  multiplication(multiplication(A,codomain(B)),c(codomain(A addition C))) ->
% 260.50/260.61  zero
% 260.50/260.61  Current number of equations to process: 2872
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 689
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2329] c(backward_diamond(multiplication(A,B),multiplication(C,c(A)))) -> one
% 260.50/260.61  Current number of equations to process: 2870
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 690
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2330]
% 260.50/260.61  c(backward_diamond(c(codomain(A)),multiplication(B,codomain(A)))) -> one
% 260.50/260.61  Current number of equations to process: 2869
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 691
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2331]
% 260.50/260.61  backward_diamond(multiplication(c(codomain(B)),C) addition A,B) ->
% 260.50/260.61  backward_diamond(A,B)
% 260.50/260.61  Current number of equations to process: 2868
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 692
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2332]
% 260.50/260.61  multiplication(multiplication(A,c(B)),c(codomain(A addition C))) -> zero
% 260.50/260.61  Current number of equations to process: 2867
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 693
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2333] multiplication(A,multiplication(c(B),c(codomain(C)))) addition A -> A
% 260.50/260.61  Current number of equations to process: 2866
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 694
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2334] multiplication(multiplication(c(B),c(codomain(C))),A) addition A -> A
% 260.50/260.61  Current number of equations to process: 2865
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 695
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2335] multiplication(A,multiplication(c(codomain(B)),c(C))) addition A -> A
% 260.50/260.61  Current number of equations to process: 2864
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 696
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2336] multiplication(multiplication(c(codomain(B)),c(C)),A) addition A -> A
% 260.50/260.61  Current number of equations to process: 2863
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 697
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2337]
% 260.50/260.61  multiplication(multiplication(A,codomain(B)),multiplication(c(codomain(A)),C))
% 260.50/260.61  -> zero
% 260.50/260.61  Current number of equations to process: 2862
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 698
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2338]
% 260.50/260.61  multiplication(multiplication(A,B),multiplication(codomain(C),c(codomain(B))))
% 260.50/260.61  -> zero
% 260.50/260.61  Current number of equations to process: 2861
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 699
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2339]
% 260.50/260.61  multiplication(multiplication(codomain(A),c(codomain(B))),c(codomain(A))) ->
% 260.50/260.61  zero
% 260.50/260.61  Current number of equations to process: 2860
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 700
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2340]
% 260.50/260.61  forward_diamond(multiplication(A,multiplication(c(B),c(codomain(C)))),B) ->
% 260.50/260.61  zero
% 260.50/260.61  Current number of equations to process: 2859
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 701
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2341] c(backward_diamond(A,c(c(A)))) addition codomain(A) -> one
% 260.50/260.61  Current number of equations to process: 2858
% 260.50/260.61  Current number of ordered equations: 0
% 260.50/260.61  Current number of rules: 702
% 260.50/260.61  New rule produced :
% 260.50/260.61  [2342] multiplication(multiplication(c(A),c(codomain(B))),c(c(A))) -> zero
% 260.94/261.07  Current number of equations to process: 2857
% 260.94/261.07  Current number of ordered equations: 0
% 260.94/261.07  Current number of rules: 703
% 260.94/261.07  New rule produced :
% 260.94/261.07  [2343] c(backward_diamond(c(c(A)),multiplication(B,c(A)))) -> one
% 260.94/261.07  Current number of equations to process: 2856
% 260.94/261.07  Current number of ordered equations: 0
% 260.94/261.07  Current number of rules: 704
% 260.94/261.07  New rule produced :
% 260.94/261.07  [2344] c(backward_diamond(multiplication(c(c(A)),B),c(A))) -> one
% 260.94/261.07  Current number of equations to process: 2855
% 260.94/261.07  Current number of ordered equations: 0
% 260.94/261.07  Current number of rules: 705
% 260.94/261.07  New rule produced :
% 260.94/261.07  [2345]
% 260.94/261.07  multiplication(multiplication(c(A),c(codomain(B))),multiplication(A,C)) ->
% 260.94/261.07  zero
% 260.94/261.07  Current number of equations to process: 2854
% 260.94/261.07  Current number of ordered equations: 0
% 260.94/261.07  Current number of rules: 706
% 260.94/261.07  New rule produced :
% 260.94/261.07  [2346] multiplication(c(A),c(backward_diamond(c(A),c(A)))) -> zero
% 260.94/261.07  Current number of equations to process: 2853
% 260.94/261.07  Current number of ordered equations: 0
% 260.94/261.07  Current number of rules: 707
% 260.94/261.07  New rule produced :
% 260.94/261.07  [2347]
% 260.94/261.07  leq(multiplication(A,multiplication(c(codomain(B)),codomain(C))),A) -> true
% 260.99/261.09  Current number of equations to process: 2852
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 708
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2348]
% 260.99/261.09  leq(multiplication(A,multiplication(codomain(B),c(codomain(C)))),A) -> true
% 260.99/261.09  Current number of equations to process: 2851
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 709
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2349]
% 260.99/261.09  leq(multiplication(multiplication(codomain(A),c(codomain(B))),C),C) -> true
% 260.99/261.09  Current number of equations to process: 2850
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 710
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2350]
% 260.99/261.09  leq(multiplication(multiplication(c(codomain(A)),codomain(B)),C),C) -> true
% 260.99/261.09  Current number of equations to process: 2849
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 711
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2351]
% 260.99/261.09  c(codomain(c(codomain(A)) addition B)) addition codomain(A) -> codomain(A)
% 260.99/261.09  Current number of equations to process: 2848
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 712
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2352] ifeq2(one,codomain(A),leq(c(codomain(A)),codomain(A)),true) -> true
% 260.99/261.09  Current number of equations to process: 2851
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 713
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2353] leq(c(codomain(multiplication(A,B))),c(backward_diamond(B,A))) -> true
% 260.99/261.09  Current number of equations to process: 2850
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 714
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2354]
% 260.99/261.09  multiplication(multiplication(multiplication(A,B),C),c(codomain(multiplication(B,C))))
% 260.99/261.09  -> zero
% 260.99/261.09  Current number of equations to process: 2849
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 715
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2355]
% 260.99/261.09  backward_diamond(multiplication(A,multiplication(c(backward_diamond(A,B)),C)),B)
% 260.99/261.09  -> zero
% 260.99/261.09  Current number of equations to process: 2848
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 716
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2356]
% 260.99/261.09  codomain(B) addition multiplication(c(A),c(codomain(B))) ->
% 260.99/261.09  c(A) addition codomain(B)
% 260.99/261.09  Current number of equations to process: 2847
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 717
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2357]
% 260.99/261.09  codomain(A) addition multiplication(c(codomain(A)),c(B)) ->
% 260.99/261.09  c(B) addition codomain(A)
% 260.99/261.09  Current number of equations to process: 2846
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 718
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2358]
% 260.99/261.09  codomain(B) addition multiplication(codomain(A),c(codomain(B))) ->
% 260.99/261.09  codomain(A) addition codomain(B)
% 260.99/261.09  Current number of equations to process: 2845
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 719
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2359]
% 260.99/261.09  multiplication(multiplication(A,B),multiplication(C,c(codomain(multiplication(B,C)))))
% 260.99/261.09  -> zero
% 260.99/261.09  Current number of equations to process: 2844
% 260.99/261.09  Current number of ordered equations: 0
% 260.99/261.09  Current number of rules: 720
% 260.99/261.09  New rule produced :
% 260.99/261.09  [2360]
% 260.99/261.09  multiplication(multiplication(A,multiplication(B,C)),multiplication(c(
% 260.99/261.09                                                                      codomain(C)),X0))
% 260.99/261.09  -> zero
% 260.99/261.09  Current number of equations to process: 2843
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 721
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2361]
% 261.31/261.41  multiplication(multiplication(A,B),multiplication(multiplication(c(codomain(B)),C),X0))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2842
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 722
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2362]
% 261.31/261.41  codomain(A) addition multiplication(c(codomain(A)),codomain(B)) ->
% 261.31/261.41  codomain(A) addition codomain(B)
% 261.31/261.41  Current number of equations to process: 2841
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 723
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2363]
% 261.31/261.41  multiplication(multiplication(multiplication(A,B),C),c(backward_diamond(C,B)))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2840
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 724
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2364]
% 261.31/261.41  multiplication(multiplication(A,B),multiplication(C,c(backward_diamond(C,B))))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2838
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 725
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2365]
% 261.31/261.41  multiplication(multiplication(A,B),multiplication(c(backward_diamond(B,A)),C))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2837
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 726
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2366]
% 261.31/261.41  multiplication(c(codomain(A) addition B),c(codomain(A))) ->
% 261.31/261.41  c(codomain(A) addition B)
% 261.31/261.41  Current number of equations to process: 2836
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 727
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2367]
% 261.31/261.41  multiplication(multiplication(A,B),multiplication(c(codomain(B addition C)),X0))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2834
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 728
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2368]
% 261.31/261.41  multiplication(multiplication(A,multiplication(B,C)),c(codomain(C addition X0)))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2833
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 729
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2369]
% 261.31/261.41  backward_diamond(c(codomain(codomain(B) addition C)) addition A,B) ->
% 261.31/261.41  backward_diamond(A,B)
% 261.31/261.41  Current number of equations to process: 2832
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 730
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2370]
% 261.31/261.41  codomain(multiplication(multiplication(c(codomain(A)),B),C)) ->
% 261.31/261.41  backward_diamond(multiplication(B,C),c(codomain(A)))
% 261.31/261.41  Current number of equations to process: 2831
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 731
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2371]
% 261.31/261.41  c(forward_diamond(codomain(A),multiplication(c(codomain(A)),c(c(B))))) -> one
% 261.31/261.41  Current number of equations to process: 2830
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 732
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2372]
% 261.31/261.41  backward_diamond(multiplication(multiplication(multiplication(c(codomain(A)),B),C),X0),A)
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2829
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 733
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2373]
% 261.31/261.41  c(backward_diamond(multiplication(c(codomain(A)),B),multiplication(C,A))) ->
% 261.31/261.41  one
% 261.31/261.41  Current number of equations to process: 2828
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 734
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2374] c(backward_diamond(c(A),c(A))) addition codomain(c(A)) -> one
% 261.31/261.41  Current number of equations to process: 2827
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 735
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2375]
% 261.31/261.41  multiplication(multiplication(A,forward_diamond(B,C)),c(codomain(A addition X0)))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2826
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 736
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2376]
% 261.31/261.41  leq(multiplication(c(codomain(A)),multiplication(B,backward_diamond(C,X0))),B)
% 261.31/261.41  -> true
% 261.31/261.41  Current number of equations to process: 2825
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 737
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2377]
% 261.31/261.41  multiplication(multiplication(A,backward_diamond(B,C)),c(codomain(A addition X0)))
% 261.31/261.41  -> zero
% 261.31/261.41  Current number of equations to process: 2824
% 261.31/261.41  Current number of ordered equations: 0
% 261.31/261.41  Current number of rules: 738
% 261.31/261.41  New rule produced :
% 261.31/261.41  [2378]
% 261.31/261.41  leq(multiplication(c(codomain(A)),multiplication(backward_diamond(B,C),X0)),X0)
% 261.31/261.41  -> true
% 261.31/261.41  Current number of equations to process: 2823
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 739
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2379]
% 261.76/261.84  leq(multiplication(c(codomain(A)),multiplication(codomain(B),codomain(C))),one)
% 261.76/261.84  -> true
% 261.76/261.84  Current number of equations to process: 2822
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 740
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2380]
% 261.76/261.84  leq(multiplication(c(codomain(A)),multiplication(c(B),codomain(C))),one) ->
% 261.76/261.84  true
% 261.76/261.84  Current number of equations to process: 2821
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 741
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2381]
% 261.76/261.84  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 261.76/261.84                                               c(codomain(A)))) -> zero
% 261.76/261.84  Current number of equations to process: 2820
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 742
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2382]
% 261.76/261.84  one addition multiplication(multiplication(c(A),c(codomain(B))),codomain(C))
% 261.76/261.84  -> one
% 261.76/261.84  Current number of equations to process: 2819
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 743
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2383]
% 261.76/261.84  forward_diamond(multiplication(multiplication(c(A),c(codomain(B))),codomain(C)),A)
% 261.76/261.84  -> zero
% 261.76/261.84  Current number of equations to process: 2818
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 744
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2384]
% 261.76/261.84  one addition multiplication(multiplication(c(codomain(A)),c(B)),codomain(C))
% 261.76/261.84  -> one
% 261.76/261.84  Current number of equations to process: 2817
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 745
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2385]
% 261.76/261.84  leq(multiplication(c(codomain(A)),multiplication(codomain(B),c(C))),one) ->
% 261.76/261.84  true
% 261.76/261.84  Current number of equations to process: 2816
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 746
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2386]
% 261.76/261.84  one addition multiplication(codomain(A),multiplication(c(B),c(codomain(C))))
% 261.76/261.84  -> one
% 261.76/261.84  Current number of equations to process: 2815
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 747
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2387]
% 261.76/261.84  one addition multiplication(codomain(A),multiplication(c(codomain(B)),c(C)))
% 261.76/261.84  -> one
% 261.76/261.84  Current number of equations to process: 2814
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 748
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2388]
% 261.76/261.84  leq(codomain(A) addition multiplication(c(B),c(codomain(C))),one) -> true
% 261.76/261.84  Current number of equations to process: 2811
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 749
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2389] leq(c(A) addition multiplication(c(B),c(codomain(C))),one) -> true
% 261.76/261.84  Current number of equations to process: 2810
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 750
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2390]
% 261.76/261.84  leq(multiplication(multiplication(c(A),c(codomain(B))),codomain(C)),one) ->
% 261.76/261.84  true
% 261.76/261.84  Current number of equations to process: 2809
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 751
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2391]
% 261.76/261.84  leq(multiplication(codomain(A),multiplication(c(B),c(codomain(C)))),one) ->
% 261.76/261.84  true
% 261.76/261.84  Current number of equations to process: 2808
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 752
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2392]
% 261.76/261.84  one addition multiplication(multiplication(c(A),c(codomain(B))),c(C)) -> one
% 261.76/261.84  Current number of equations to process: 2807
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 753
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2393]
% 261.76/261.84  one addition multiplication(c(A),multiplication(c(B),c(codomain(C)))) -> one
% 261.76/261.84  Current number of equations to process: 2806
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 754
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2394]
% 261.76/261.84  multiplication(A,multiplication(forward_diamond(B,C),c(codomain(X0)))) addition A
% 261.76/261.84  -> A
% 261.76/261.84  Current number of equations to process: 2805
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 755
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2395]
% 261.76/261.84  multiplication(multiplication(forward_diamond(B,C),c(codomain(X0))),A) addition A
% 261.76/261.84  -> A
% 261.76/261.84  Current number of equations to process: 2804
% 261.76/261.84  Current number of ordered equations: 0
% 261.76/261.84  Current number of rules: 756
% 261.76/261.84  New rule produced :
% 261.76/261.84  [2396]
% 261.76/261.84  multiplication(A,multiplication(backward_diamond(B,C),c(codomain(X0)))) addition A
% 261.76/261.84  -> A
% 261.76/261.84  Current number of equations to process: 2803
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 757
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2397]
% 262.15/262.30  multiplication(multiplication(backward_diamond(B,C),c(codomain(X0))),A) addition A
% 262.15/262.30  -> A
% 262.15/262.30  Current number of equations to process: 2802
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 758
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2398]
% 262.15/262.30  forward_diamond(multiplication(multiplication(c(A),codomain(B)),c(codomain(C))),A)
% 262.15/262.30  -> zero
% 262.15/262.30  Current number of equations to process: 2801
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 759
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2399]
% 262.15/262.30  leq(codomain(A) addition multiplication(c(codomain(B)),c(C)),one) -> true
% 262.15/262.30  Current number of equations to process: 2800
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 760
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2400] leq(c(A) addition multiplication(c(codomain(B)),c(C)),one) -> true
% 262.15/262.30  Current number of equations to process: 2799
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 761
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2401]
% 262.15/262.30  leq(multiplication(multiplication(c(codomain(A)),c(B)),codomain(C)),one) ->
% 262.15/262.30  true
% 262.15/262.30  Current number of equations to process: 2798
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 762
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2402]
% 262.15/262.30  leq(multiplication(codomain(A),multiplication(c(codomain(B)),c(C))),one) ->
% 262.15/262.30  true
% 262.15/262.30  Current number of equations to process: 2797
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 763
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2403]
% 262.15/262.30  one addition multiplication(multiplication(c(codomain(A)),c(B)),c(C)) -> one
% 262.15/262.30  Current number of equations to process: 2796
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 764
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2404]
% 262.15/262.30  one addition multiplication(c(A),multiplication(c(codomain(B)),c(C))) -> one
% 262.15/262.30  Current number of equations to process: 2795
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 765
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2405]
% 262.15/262.30  multiplication(A,multiplication(c(codomain(B)),forward_diamond(C,X0))) addition A
% 262.15/262.30  -> A
% 262.15/262.30  Current number of equations to process: 2794
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 766
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2406]
% 262.15/262.30  multiplication(multiplication(c(codomain(B)),forward_diamond(C,X0)),A) addition A
% 262.15/262.30  -> A
% 262.15/262.30  Current number of equations to process: 2793
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 767
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2407]
% 262.15/262.30  multiplication(A,multiplication(c(codomain(B)),backward_diamond(C,X0))) addition A
% 262.15/262.30  -> A
% 262.15/262.30  Current number of equations to process: 2792
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 768
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2408]
% 262.15/262.30  multiplication(multiplication(c(codomain(B)),backward_diamond(C,X0)),A) addition A
% 262.15/262.30  -> A
% 262.15/262.30  Current number of equations to process: 2791
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 769
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2409]
% 262.15/262.30  backward_diamond(multiplication(multiplication(A,c(backward_diamond(A,B))),C),B)
% 262.15/262.30  -> zero
% 262.15/262.30  Current number of equations to process: 2790
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 770
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2410]
% 262.15/262.30  c(codomain(codomain(A) addition B)) addition c(codomain(A)) -> c(codomain(A))
% 262.15/262.30  Current number of equations to process: 2789
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 771
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2411]
% 262.15/262.30  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 262.15/262.30                                                         c(codomain(A)),C)) ->
% 262.15/262.30  zero
% 262.15/262.30  Current number of equations to process: 2788
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 772
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2412]
% 262.15/262.30  multiplication(multiplication(A,c(codomain(B))),multiplication(codomain(C),
% 262.15/262.30                                                  codomain(B))) -> zero
% 262.15/262.30  Current number of equations to process: 2787
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 773
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2413]
% 262.15/262.30  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 262.15/262.30                                               c(codomain(B)))) -> zero
% 262.15/262.30  Current number of equations to process: 2786
% 262.15/262.30  Current number of ordered equations: 0
% 262.15/262.30  Current number of rules: 774
% 262.15/262.30  New rule produced :
% 262.15/262.30  [2414]
% 262.15/262.30  multiplication(multiplication(A,c(codomain(B))),multiplication(c(codomain(A)),C))
% 264.16/264.29  -> zero
% 264.16/264.29  Current number of equations to process: 2785
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 775
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2415]
% 264.16/264.29  leq(multiplication(multiplication(A,c(codomain(B))),C),multiplication(A,C))
% 264.16/264.29  -> true
% 264.16/264.29  Current number of equations to process: 2784
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 776
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2416]
% 264.16/264.29  leq(multiplication(A,multiplication(c(codomain(B)),C)),multiplication(A,C))
% 264.16/264.29  -> true
% 264.16/264.29  Current number of equations to process: 2783
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 777
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2417]
% 264.16/264.29  multiplication(multiplication(A,B),multiplication(c(codomain(C)),c(codomain(B))))
% 264.16/264.29  -> zero
% 264.16/264.29  Current number of equations to process: 2782
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 778
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2418]
% 264.16/264.29  leq(multiplication(multiplication(c(A),c(codomain(B))),c(C)),one) -> true
% 264.16/264.29  Current number of equations to process: 2781
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 779
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2419]
% 264.16/264.29  leq(multiplication(multiplication(c(codomain(A)),c(B)),c(C)),one) -> true
% 264.16/264.29  Current number of equations to process: 2780
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 780
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2420] leq(c(codomain(A)),c(backward_diamond(A,c(c(A))))) -> true
% 264.16/264.29  Current number of equations to process: 2779
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 781
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2421]
% 264.16/264.29  backward_diamond(multiplication(c(codomain(A)),B),c(codomain(A))) ->
% 264.16/264.29  backward_diamond(B,c(codomain(A)))
% 264.16/264.29  Current number of equations to process: 2778
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 782
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2422]
% 264.16/264.29  c(backward_diamond(c(backward_diamond(A,B)),multiplication(B,A))) -> one
% 264.16/264.29  Current number of equations to process: 2777
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 783
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2423]
% 264.16/264.29  leq(multiplication(A,multiplication(c(codomain(B)),c(codomain(C)))),A) ->
% 264.16/264.29  true
% 264.16/264.29  Current number of equations to process: 2775
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 784
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2424]
% 264.16/264.29  leq(multiplication(multiplication(c(codomain(A)),c(codomain(B))),C),C) ->
% 264.16/264.29  true
% 264.16/264.29  Current number of equations to process: 2773
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 785
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2425]
% 264.16/264.29  ifeq(leq(c(codomain(A)),codomain(A)),true,one,codomain(A)) -> codomain(A)
% 264.16/264.29  Current number of equations to process: 2772
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 786
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2426]
% 264.16/264.29  c(codomain(A)) addition multiplication(codomain(A),c(B)) ->
% 264.16/264.29  c(codomain(A)) addition c(B)
% 264.16/264.29  Current number of equations to process: 2770
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 787
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2427]
% 264.16/264.29  c(codomain(A)) addition multiplication(c(B),codomain(A)) ->
% 264.16/264.29  c(codomain(A)) addition c(B)
% 264.16/264.29  Current number of equations to process: 2769
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 788
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2428]
% 264.16/264.29  c(codomain(B)) addition multiplication(codomain(B),codomain(A)) ->
% 264.16/264.29  c(codomain(B)) addition codomain(A)
% 264.16/264.29  Current number of equations to process: 2768
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 789
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2429]
% 264.16/264.29  c(codomain(B)) addition multiplication(codomain(A),codomain(B)) ->
% 264.16/264.29  c(codomain(B)) addition codomain(A)
% 264.16/264.29  Current number of equations to process: 2767
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 790
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2430]
% 264.16/264.29  multiplication(c(c(codomain(A)) addition B),codomain(A)) ->
% 264.16/264.29  c(c(codomain(A)) addition B)
% 264.16/264.29  Current number of equations to process: 2765
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 791
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2431]
% 264.16/264.29  multiplication(multiplication(multiplication(A,c(B)),codomain(C)),multiplication(B,X0))
% 264.16/264.29  -> zero
% 264.16/264.29  Current number of equations to process: 2957
% 264.16/264.29  Current number of ordered equations: 0
% 264.16/264.29  Current number of rules: 792
% 264.16/264.29  New rule produced :
% 264.16/264.29  [2432]
% 264.16/264.29  multiplication(multiplication(A,c(B)),multiplication(codomain(C),multiplication(B,X0)))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 2956
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 793
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2433] ifeq2(one,c(codomain(A)),leq(codomain(A),c(codomain(A))),true) -> true
% 270.32/270.45  Current number of equations to process: 2955
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 794
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2434] c(forward_diamond(A,B)) addition c(c(multiplication(A,B))) -> one
% 270.32/270.45  Current number of equations to process: 2954
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 795
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2435]
% 270.32/270.45  backward_diamond(multiplication(c(backward_diamond(A,B)),C),multiplication(
% 270.32/270.45                                                              codomain(B),A))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 2953
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 796
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2436]
% 270.32/270.45  forward_diamond(multiplication(A,c(forward_diamond(B,C))),multiplication(B,
% 270.32/270.45                                                            c(c(C)))) -> zero
% 270.32/270.45  Current number of equations to process: 2954
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 797
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2437]
% 270.32/270.45  forward_diamond(multiplication(multiplication(A,c(forward_diamond(B,C))),B),C)
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 2953
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 798
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2438]
% 270.32/270.45  multiplication(c(multiplication(A,B)),multiplication(A,multiplication(
% 270.32/270.45                                                         multiplication(B,C),X0)))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 3120
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 799
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2439]
% 270.32/270.45  multiplication(multiplication(multiplication(A,c(multiplication(B,C))),B),
% 270.32/270.45  multiplication(C,X0)) -> zero
% 270.32/270.45  Current number of equations to process: 3119
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 800
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2440]
% 270.32/270.45  multiplication(multiplication(c(multiplication(A,B)),A),multiplication(
% 270.32/270.45                                                          multiplication(B,C),X0))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 3118
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 801
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2441]
% 270.32/270.45  multiplication(c(multiplication(multiplication(A,B),C)),multiplication(A,
% 270.32/270.45                                                          multiplication(B,C)))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 3117
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 802
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2442]
% 270.32/270.45  multiplication(multiplication(A,c(multiplication(B,C))),multiplication(B,
% 270.32/270.45                                                          multiplication(C,X0)))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 3116
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 803
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2443]
% 270.32/270.45  forward_diamond(multiplication(A,B),C) addition c(forward_diamond(A,multiplication(B,
% 270.32/270.45                                                                      c(
% 270.32/270.45                                                                      c(C)))))
% 270.32/270.45  -> one
% 270.32/270.45  Current number of equations to process: 3119
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 804
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2444]
% 270.32/270.45  multiplication(multiplication(A,forward_diamond(B,C)),c(forward_diamond(B,C)))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 3173
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 805
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2445]
% 270.32/270.45  multiplication(forward_diamond(A,B),multiplication(c(forward_diamond(A,B)),C))
% 270.32/270.45  -> zero
% 270.32/270.45  Current number of equations to process: 3171
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 806
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2446]
% 270.32/270.45  multiplication(A,forward_diamond(B,C)) addition multiplication(A,c(forward_diamond(B,C)))
% 270.32/270.45  -> A
% 270.32/270.45  Current number of equations to process: 3523
% 270.32/270.45  Current number of ordered equations: 0
% 270.32/270.45  Current number of rules: 807
% 270.32/270.45  New rule produced :
% 270.32/270.45  [2447]
% 270.32/270.45  multiplication(forward_diamond(B,C),A) addition multiplication(c(forward_diamond(B,C)),A)
% 270.32/270.45  -> A
% 270.32/270.45  Current number of equations to process: 3522
% 270.32/270.45  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 808
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2448]
% 275.76/275.86  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 275.76/275.86                                                          multiplication(C,X0),X1))
% 275.76/275.86  -> zero
% 275.76/275.86  Current number of equations to process: 3589
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 809
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2449]
% 275.76/275.86  multiplication(multiplication(A,c(B)),multiplication(multiplication(multiplication(B,C),X0),X1))
% 275.76/275.86  -> zero
% 275.76/275.86  Current number of equations to process: 3588
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 810
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2450]
% 275.76/275.86  multiplication(multiplication(A,multiplication(B,multiplication(C,c(X0)))),
% 275.76/275.86  multiplication(X0,X1)) -> zero
% 275.76/275.86  Current number of equations to process: 3587
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 811
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2451]
% 275.76/275.86  multiplication(multiplication(A,multiplication(c(multiplication(B,C)),B)),
% 275.76/275.86  multiplication(C,X0)) -> zero
% 275.76/275.86  Current number of equations to process: 3616
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 812
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2452]
% 275.76/275.86  leq(forward_diamond(A,B) addition multiplication(C,c(X0)),one addition C) ->
% 275.76/275.86  true
% 275.76/275.86  Current number of equations to process: 3755
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 813
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2453]
% 275.76/275.86  leq(forward_diamond(A,B) addition multiplication(c(C),X0),one addition X0) ->
% 275.76/275.86  true
% 275.76/275.86  Current number of equations to process: 3754
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 814
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2454]
% 275.76/275.86  leq(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C))
% 275.76/275.86  -> true
% 275.76/275.86  Current number of equations to process: 3854
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 815
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2455]
% 275.76/275.86  leq(backward_diamond(A,B) addition multiplication(C,c(X0)),one addition C) ->
% 275.76/275.86  true
% 275.76/275.86  Current number of equations to process: 3861
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 816
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2456]
% 275.76/275.86  leq(backward_diamond(A,B) addition multiplication(c(C),X0),one addition X0)
% 275.76/275.86  -> true
% 275.76/275.86  Current number of equations to process: 3860
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 817
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2457]
% 275.76/275.86  forward_diamond(multiplication(A,c(forward_diamond(B,c(C)))),multiplication(B,
% 275.76/275.86                                                               c(C))) -> zero
% 275.76/275.86  Current number of equations to process: 3859
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 818
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2458]
% 275.76/275.86  leq(multiplication(A,multiplication(B,c(C))),multiplication(A,B) addition X0)
% 275.76/275.86  -> true
% 275.76/275.86  Current number of equations to process: 3858
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 819
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2459] leq(multiplication(A,multiplication(c(B),codomain(C))),A) -> true
% 275.76/275.86  Rule
% 275.76/275.86  [2347]
% 275.76/275.86  leq(multiplication(A,multiplication(c(codomain(B)),codomain(C))),A) -> true
% 275.76/275.86  collapsed.
% 275.76/275.86  Current number of equations to process: 3863
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 819
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2460]
% 275.76/275.86  leq(multiplication(forward_diamond(A,B),multiplication(C,codomain(X0))),C) ->
% 275.76/275.86  true
% 275.76/275.86  Current number of equations to process: 3862
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 820
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2461]
% 275.76/275.86  leq(multiplication(A,multiplication(c(B),codomain(C))),A addition X0) -> true
% 275.76/275.86  Current number of equations to process: 3861
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 821
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2462]
% 275.76/275.86  leq(multiplication(A,multiplication(forward_diamond(B,C),codomain(X0))),A) ->
% 275.76/275.86  true
% 275.76/275.86  Current number of equations to process: 3906
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 822
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2463]
% 275.76/275.86  leq(multiplication(A,multiplication(backward_diamond(B,C),codomain(X0))),A)
% 275.76/275.86  -> true
% 275.76/275.86  Current number of equations to process: 3905
% 275.76/275.86  Current number of ordered equations: 0
% 275.76/275.86  Current number of rules: 823
% 275.76/275.86  New rule produced :
% 275.76/275.86  [2464]
% 275.76/275.86  leq(multiplication(c(A),multiplication(codomain(B),codomain(C))),one) -> true
% 275.76/275.86  Rule
% 275.76/275.86  [2379]
% 275.76/275.86  leq(multiplication(c(codomain(A)),multiplication(codomain(B),codomain(C))),one)
% 277.51/277.63  -> true collapsed.
% 277.51/277.63  Current number of equations to process: 3904
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 823
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2465]
% 277.51/277.63  leq(multiplication(forward_diamond(A,B),multiplication(codomain(C),codomain(X0))),one)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 3914
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 824
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2466]
% 277.51/277.63  multiplication(multiplication(A,B),c(codomain(multiplication(B,codomain(
% 277.51/277.63                                                                 multiplication(A,B))))))
% 277.51/277.63  -> zero
% 277.51/277.63  Current number of equations to process: 3927
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 825
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2467] leq(multiplication(multiplication(codomain(A),c(B)),C),C) -> true
% 277.51/277.63  Rule
% 277.51/277.63  [2349]
% 277.51/277.63  leq(multiplication(multiplication(codomain(A),c(codomain(B))),C),C) -> true
% 277.51/277.63  collapsed.
% 277.51/277.63  Current number of equations to process: 3929
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 825
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2468]
% 277.51/277.63  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),X0),X0)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 3930
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 826
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2469]
% 277.51/277.63  leq(multiplication(multiplication(codomain(A),c(B)),C),C addition X0) -> true
% 277.51/277.63  Current number of equations to process: 3929
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 827
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2470]
% 277.51/277.63  leq(multiplication(multiplication(codomain(A),B),forward_diamond(C,X0)),B) ->
% 277.51/277.63  true
% 277.51/277.63  Current number of equations to process: 3972
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 828
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2471]
% 277.51/277.63  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),X0),X0)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 3971
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 829
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2472]
% 277.51/277.63  leq(multiplication(multiplication(codomain(A),codomain(B)),forward_diamond(C,X0)),one)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 3982
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 830
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2473]
% 277.51/277.63  multiplication(multiplication(multiplication(A,codomain(B)),C),c(backward_diamond(C,B)))
% 277.51/277.63  -> zero
% 277.51/277.63  Current number of equations to process: 3995
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 831
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2474]
% 277.51/277.63  leq(multiplication(multiplication(c(A),B),C),multiplication(B,C) addition X0)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 3994
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 832
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2475]
% 277.51/277.63  multiplication(multiplication(A,codomain(B)),multiplication(C,c(backward_diamond(C,B))))
% 277.51/277.63  -> zero
% 277.51/277.63  Current number of equations to process: 4028
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 833
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2476]
% 277.51/277.63  leq(codomain(A) addition multiplication(c(B),c(codomain(C))),one addition X0)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 4027
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 834
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2477]
% 277.51/277.63  leq(c(codomain(A)) addition multiplication(c(B),c(codomain(C))),one addition X0)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 4026
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 835
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2478]
% 277.51/277.63  leq(c(A) addition multiplication(c(B),c(codomain(C))),one addition X0) ->
% 277.51/277.63  true
% 277.51/277.63  Rule
% 277.51/277.63  [2477]
% 277.51/277.63  leq(c(codomain(A)) addition multiplication(c(B),c(codomain(C))),one addition X0)
% 277.51/277.63  -> true collapsed.
% 277.51/277.63  Current number of equations to process: 4025
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 835
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2479]
% 277.51/277.63  leq(codomain(A) addition multiplication(c(codomain(B)),c(C)),one addition X0)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 4024
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 836
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2480]
% 277.51/277.63  leq(c(codomain(A)) addition multiplication(c(codomain(B)),c(C)),one addition X0)
% 277.51/277.63  -> true
% 277.51/277.63  Current number of equations to process: 4023
% 277.51/277.63  Current number of ordered equations: 0
% 277.51/277.63  Current number of rules: 837
% 277.51/277.63  New rule produced :
% 277.51/277.63  [2481]
% 277.51/277.63  leq(c(A) addition multiplication(c(codomain(B)),c(C)),one addition X0) ->
% 279.56/279.69  true
% 279.56/279.69  Rule
% 279.56/279.69  [2480]
% 279.56/279.69  leq(c(codomain(A)) addition multiplication(c(codomain(B)),c(C)),one addition X0)
% 279.56/279.69  -> true collapsed.
% 279.56/279.69  Current number of equations to process: 4022
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 837
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2482]
% 279.56/279.69  multiplication(multiplication(A,multiplication(B,codomain(C))),multiplication(
% 279.56/279.69                                                                 c(codomain(C)),X0))
% 279.56/279.69  -> zero
% 279.56/279.69  Current number of equations to process: 4021
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 838
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2483]
% 279.56/279.69  multiplication(multiplication(A,codomain(B)),multiplication(multiplication(
% 279.56/279.69                                                              c(codomain(B)),C),X0))
% 279.56/279.69  -> zero
% 279.56/279.69  Current number of equations to process: 4020
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 839
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2484]
% 279.56/279.69  multiplication(c(multiplication(A,multiplication(B,C))),multiplication(
% 279.56/279.69                                                          multiplication(A,B),C))
% 279.56/279.69  -> zero
% 279.56/279.69  Current number of equations to process: 4019
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 840
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2485]
% 279.56/279.69  leq(multiplication(forward_diamond(A,B),c(C)) addition X0,one addition X0) ->
% 279.56/279.69  true
% 279.56/279.69  Current number of equations to process: 4018
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 841
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2486]
% 279.56/279.69  leq(multiplication(backward_diamond(A,B),c(C)) addition X0,one addition X0)
% 279.56/279.69  -> true
% 279.56/279.69  Current number of equations to process: 4017
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 842
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2487]
% 279.56/279.69  leq(multiplication(c(A),forward_diamond(B,C)) addition X0,one addition X0) ->
% 279.56/279.69  true
% 279.56/279.69  Current number of equations to process: 4086
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 843
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2488]
% 279.56/279.69  leq(multiplication(c(A),backward_diamond(B,C)) addition X0,one addition X0)
% 279.56/279.69  -> true
% 279.56/279.69  Current number of equations to process: 4085
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 844
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2489] leq(c(A) addition B,codomain(c(A)) addition B addition C) -> true
% 279.56/279.69  Current number of equations to process: 4084
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 845
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2490] forward_diamond(forward_diamond(A,B),c(forward_diamond(A,B))) -> zero
% 279.56/279.69  Current number of equations to process: 4120
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 846
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2491]
% 279.56/279.69  multiplication(forward_diamond(A,B),forward_diamond(A,B)) ->
% 279.56/279.69  forward_diamond(A,B)
% 279.56/279.69  Current number of equations to process: 4125
% 279.56/279.69  Current number of ordered equations: 0
% 279.56/279.69  Current number of rules: 847
% 279.56/279.69  Rule [175]
% 279.56/279.69       c(multiplication(A,forward_diamond(B,C))) ->
% 279.56/279.69       c(forward_diamond(A,multiplication(B,c(c(C))))) is composed into 
% 279.56/279.69  [175]
% 279.56/279.69  c(multiplication(A,forward_diamond(B,C))) ->
% 279.56/279.69  c(forward_diamond(A,forward_diamond(B,c(c(C)))))
% 279.56/279.69  New rule produced :
% 279.56/279.69  [2492]
% 279.56/279.69  forward_diamond(A,multiplication(B,c(C))) ->
% 279.56/279.69  forward_diamond(A,forward_diamond(B,c(C)))
% 279.56/279.69  Rule
% 279.56/279.69  [1506]
% 279.56/279.69  c(forward_diamond(multiplication(A,c(B)),multiplication(B,c(c(C))))) -> one
% 279.56/279.69  collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [1508]
% 279.56/279.69  c(forward_diamond(c(A),multiplication(multiplication(A,B),c(c(C))))) -> one
% 279.56/279.69  collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [1509] c(forward_diamond(c(A addition B),multiplication(A,c(c(C))))) -> one
% 279.56/279.69  collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [1522]
% 279.56/279.69  forward_diamond(c(forward_diamond(A,B)),multiplication(A,c(c(B)))) -> zero
% 279.56/279.69  collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [1537]
% 279.56/279.69  forward_diamond(c(forward_diamond(A,c(B))),multiplication(A,c(B))) -> zero
% 279.56/279.69  collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [1840]
% 279.56/279.69  c(forward_diamond(multiplication(A,c(B)),multiplication(multiplication(B,C),
% 279.56/279.69                                           c(c(X0))))) -> one collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [1841]
% 279.56/279.69  forward_diamond(A,B) addition c(forward_diamond(A,multiplication(codomain(A),
% 279.56/279.69                                                    c(c(B))))) -> one
% 279.56/279.69  collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [2371]
% 279.56/279.69  c(forward_diamond(codomain(A),multiplication(c(codomain(A)),c(c(B))))) -> one
% 279.56/279.69  collapsed.
% 279.56/279.69  Rule
% 279.56/279.69  [2436]
% 279.56/279.69  forward_diamond(multiplication(A,c(forward_diamond(B,C))),multiplication(B,
% 280.38/280.46                                                            c(c(C)))) -> zero
% 280.38/280.46  collapsed.
% 280.38/280.46  Rule
% 280.38/280.46  [2443]
% 280.38/280.46  forward_diamond(multiplication(A,B),C) addition c(forward_diamond(A,multiplication(B,
% 280.38/280.46                                                                      c(
% 280.38/280.46                                                                      c(C)))))
% 280.38/280.46  -> one collapsed.
% 280.38/280.46  Rule
% 280.38/280.46  [2457]
% 280.38/280.46  forward_diamond(multiplication(A,c(forward_diamond(B,c(C)))),multiplication(B,
% 280.38/280.46                                                               c(C))) -> zero
% 280.38/280.46  collapsed.
% 280.38/280.46  Current number of equations to process: 4148
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 837
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2493]
% 280.38/280.46  forward_diamond(multiplication(A,forward_diamond(B,C)),c(forward_diamond(B,C)))
% 280.38/280.46  -> zero
% 280.38/280.46  Current number of equations to process: 4154
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 838
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2494]
% 280.38/280.46  forward_diamond(multiplication(multiplication(c(A),codomain(B)),c(C)),A) ->
% 280.38/280.46  zero
% 280.38/280.46  Rule
% 280.38/280.46  [2398]
% 280.38/280.46  forward_diamond(multiplication(multiplication(c(A),codomain(B)),c(codomain(C))),A)
% 280.38/280.46  -> zero collapsed.
% 280.38/280.46  Current number of equations to process: 4153
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 838
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2495]
% 280.38/280.46  forward_diamond(multiplication(c(A),multiplication(codomain(B),codomain(C))),A)
% 280.38/280.46  -> zero
% 280.38/280.46  Current number of equations to process: 4171
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 839
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2496]
% 280.38/280.46  forward_diamond(multiplication(c(c(B)),codomain(A)),B) ->
% 280.38/280.46  forward_diamond(codomain(A),B)
% 280.38/280.46  Current number of equations to process: 4177
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 840
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2497]
% 280.38/280.46  forward_diamond(multiplication(c(B),codomain(A)),c(B)) ->
% 280.38/280.46  forward_diamond(codomain(A),c(B))
% 280.38/280.46  Current number of equations to process: 4177
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 841
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2498] c(forward_diamond(multiplication(A,c(B)),forward_diamond(B,C))) -> one
% 280.38/280.46  Current number of equations to process: 4179
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 842
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2499] c(forward_diamond(c(A),forward_diamond(multiplication(A,B),C))) -> one
% 280.38/280.46  Current number of equations to process: 4178
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 843
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2500] c(forward_diamond(c(A addition B),forward_diamond(A,C))) -> one
% 280.38/280.46  Current number of equations to process: 4177
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 844
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2501]
% 280.38/280.46  c(forward_diamond(codomain(A),forward_diamond(c(codomain(A)),B))) -> one
% 280.38/280.46  Current number of equations to process: 4176
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 845
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2502]
% 280.38/280.46  multiplication(forward_diamond(A,B),multiplication(forward_diamond(A,B),C))
% 280.38/280.46  -> multiplication(forward_diamond(A,B),C)
% 280.38/280.46  Current number of equations to process: 4175
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 846
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2503]
% 280.38/280.46  forward_diamond(multiplication(forward_diamond(A,B),codomain(C)),c(forward_diamond(A,B)))
% 280.38/280.46  -> zero
% 280.38/280.46  Current number of equations to process: 4174
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 847
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2504]
% 280.38/280.46  forward_diamond(multiplication(multiplication(c(A),codomain(B)),forward_diamond(C,X0)),A)
% 280.38/280.46  -> zero
% 280.38/280.46  Current number of equations to process: 4173
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 848
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2505]
% 280.38/280.46  forward_diamond(multiplication(multiplication(c(A),codomain(B)),backward_diamond(C,X0)),A)
% 280.38/280.46  -> zero
% 280.38/280.46  Current number of equations to process: 4172
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 849
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2506]
% 280.38/280.46  c(multiplication(A,multiplication(B,forward_diamond(C,X0)))) ->
% 280.38/280.46  c(forward_diamond(multiplication(A,B),forward_diamond(C,X0)))
% 280.38/280.46  Current number of equations to process: 4171
% 280.38/280.46  Current number of ordered equations: 0
% 280.38/280.46  Current number of rules: 850
% 280.38/280.46  New rule produced :
% 280.38/280.46  [2507]
% 280.38/280.46  forward_diamond(A,multiplication(B,multiplication(C,c(X0)))) ->
% 280.38/280.46  forward_diamond(A,forward_diamond(multiplication(B,C),c(X0)))
% 282.23/282.31  Current number of equations to process: 4170
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 851
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2508]
% 282.23/282.31  c(c(B) addition multiplication(A,c(B))) ->
% 282.23/282.31  c(forward_diamond(one addition A,c(B)))
% 282.23/282.31  Rule
% 282.23/282.31  [1243]
% 282.23/282.31  c(c(c(B) addition multiplication(A,c(B)))) ->
% 282.23/282.31  forward_diamond(one addition A,c(B)) collapsed.
% 282.23/282.31  Current number of equations to process: 4190
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 851
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2509]
% 282.23/282.31  multiplication(multiplication(A,c(B)),codomain(A)) -> multiplication(A,c(B))
% 282.23/282.31  Current number of equations to process: 4202
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 852
% 282.23/282.31  New rule produced : [2510] codomain(one addition A) -> one
% 282.23/282.31  Rule [2284] c(codomain(one addition A)) -> zero collapsed.
% 282.23/282.31  Current number of equations to process: 4213
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 852
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2511] backward_diamond(codomain(codomain(A) addition B),A) -> codomain(A)
% 282.23/282.31  Current number of equations to process: 4216
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 853
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2512] leq(codomain(A),codomain(codomain(A) addition B)) -> true
% 282.23/282.31  Current number of equations to process: 4241
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 854
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2513]
% 282.23/282.31  multiplication(multiplication(A,codomain(B)),codomain(A)) ->
% 282.23/282.31  multiplication(A,codomain(B))
% 282.23/282.31  Current number of equations to process: 4240
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 855
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2514]
% 282.23/282.31  multiplication(codomain(A),backward_diamond(one addition B,A)) -> codomain(A)
% 282.23/282.31  Current number of equations to process: 4244
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 856
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2515] multiplication(A,codomain(codomain(A) addition B)) -> A
% 282.23/282.31  Current number of equations to process: 4311
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 857
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2516]
% 282.23/282.31  multiplication(multiplication(A,B),codomain(B addition C)) ->
% 282.23/282.31  multiplication(A,B)
% 282.23/282.31  Current number of equations to process: 4335
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 858
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2517]
% 282.23/282.31  multiplication(A,multiplication(codomain(A addition C),B)) ->
% 282.23/282.31  multiplication(A,B)
% 282.23/282.31  Current number of equations to process: 4334
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 859
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2518]
% 282.23/282.31  backward_diamond(multiplication(codomain(codomain(B) addition C),A),B) ->
% 282.23/282.31  backward_diamond(A,B)
% 282.23/282.31  Current number of equations to process: 4341
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 860
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2519] leq(codomain(A),codomain(codomain(A) addition B) addition C) -> true
% 282.23/282.31  Current number of equations to process: 4340
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 861
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2520]
% 282.23/282.31  multiplication(multiplication(A,forward_diamond(B,C)),codomain(A)) ->
% 282.23/282.31  multiplication(A,forward_diamond(B,C))
% 282.23/282.31  Current number of equations to process: 4339
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 862
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2521]
% 282.23/282.31  multiplication(multiplication(A,backward_diamond(B,C)),codomain(A)) ->
% 282.23/282.31  multiplication(A,backward_diamond(B,C))
% 282.23/282.31  Current number of equations to process: 4338
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 863
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2522]
% 282.23/282.31  leq(backward_diamond(A,B),codomain(backward_diamond(A,B) addition C)) -> true
% 282.23/282.31  Current number of equations to process: 4337
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 864
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2523]
% 282.23/282.31  multiplication(multiplication(A,c(B)),codomain(A addition C)) ->
% 282.23/282.31  multiplication(A,c(B))
% 282.23/282.31  Current number of equations to process: 4334
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 865
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2524]
% 282.23/282.31  multiplication(multiplication(A,codomain(B)),codomain(A addition C)) ->
% 282.23/282.31  multiplication(A,codomain(B))
% 282.23/282.31  Current number of equations to process: 4332
% 282.23/282.31  Current number of ordered equations: 0
% 282.23/282.31  Current number of rules: 866
% 282.23/282.31  New rule produced :
% 282.23/282.31  [2525]
% 282.23/282.31  backward_diamond(one addition A,B) addition codomain(B) ->
% 285.10/285.18  backward_diamond(one addition A,B)
% 285.10/285.18  Current number of equations to process: 4420
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 867
% 285.10/285.18  New rule produced : [2526] leq(c(A),codomain(c(A) addition B)) -> true
% 285.10/285.18  Current number of equations to process: 4478
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 868
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2527] leq(multiplication(c(A),B),multiplication(codomain(c(A)),B)) -> true
% 285.10/285.18  Current number of equations to process: 4495
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 869
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2528]
% 285.10/285.18  leq(multiplication(c(A),multiplication(B,backward_diamond(C,X0))),B) -> true
% 285.10/285.18  Rule
% 285.10/285.18  [2376]
% 285.10/285.18  leq(multiplication(c(codomain(A)),multiplication(B,backward_diamond(C,X0))),B)
% 285.10/285.18  -> true collapsed.
% 285.10/285.18  Current number of equations to process: 4643
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 869
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2529]
% 285.10/285.18  leq(multiplication(c(A),multiplication(backward_diamond(B,C),X0)),X0) -> true
% 285.10/285.18  Rule
% 285.10/285.18  [2378]
% 285.10/285.18  leq(multiplication(c(codomain(A)),multiplication(backward_diamond(B,C),X0)),X0)
% 285.10/285.18  -> true collapsed.
% 285.10/285.18  Current number of equations to process: 4642
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 869
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2530] leq(multiplication(c(A),multiplication(c(B),codomain(C))),one) -> true
% 285.10/285.18  Rule
% 285.10/285.18  [2380]
% 285.10/285.18  leq(multiplication(c(codomain(A)),multiplication(c(B),codomain(C))),one) ->
% 285.10/285.18  true collapsed.
% 285.10/285.18  Current number of equations to process: 4641
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 869
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2531] leq(multiplication(c(A),multiplication(codomain(B),c(C))),one) -> true
% 285.10/285.18  Rule
% 285.10/285.18  [2385]
% 285.10/285.18  leq(multiplication(c(codomain(A)),multiplication(codomain(B),c(C))),one) ->
% 285.10/285.18  true collapsed.
% 285.10/285.18  Current number of equations to process: 4640
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 869
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2532] leq(c(A),codomain(c(A) addition B) addition C) -> true
% 285.10/285.18  Current number of equations to process: 4639
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 870
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2533]
% 285.10/285.18  backward_diamond(codomain(codomain(B) addition C) addition A,B) ->
% 285.10/285.18  backward_diamond(one addition A,B)
% 285.10/285.18  Current number of equations to process: 4676
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 871
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2534]
% 285.10/285.18  leq(multiplication(codomain(A),codomain(B)),codomain(codomain(A) addition C))
% 285.10/285.18  -> true
% 285.10/285.18  Current number of equations to process: 4675
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 872
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2535]
% 285.10/285.18  leq(multiplication(codomain(A),codomain(B)),codomain(codomain(B) addition C))
% 285.10/285.18  -> true
% 285.10/285.18  Current number of equations to process: 4674
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 873
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2536]
% 285.10/285.18  leq(multiplication(codomain(A),c(B)),codomain(codomain(A) addition C)) ->
% 285.10/285.18  true
% 285.10/285.18  Current number of equations to process: 4671
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 874
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2537]
% 285.10/285.18  leq(multiplication(c(A),multiplication(forward_diamond(B,C),codomain(X0))),one)
% 285.10/285.18  -> true
% 285.10/285.18  Current number of equations to process: 4669
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 875
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2538]
% 285.10/285.18  leq(multiplication(c(A),multiplication(backward_diamond(B,C),codomain(X0))),one)
% 285.10/285.18  -> true
% 285.10/285.18  Current number of equations to process: 4668
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 876
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2539]
% 285.10/285.18  leq(multiplication(c(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 285.10/285.18  -> true
% 285.10/285.18  Current number of equations to process: 4667
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 877
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2540]
% 285.10/285.18  leq(multiplication(c(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 285.10/285.18  -> true
% 285.10/285.18  Current number of equations to process: 4666
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 878
% 285.10/285.18  New rule produced :
% 285.10/285.18  [2541]
% 285.10/285.18  leq(multiplication(c(A),codomain(B)),codomain(codomain(B) addition C)) ->
% 285.10/285.18  true
% 285.10/285.18  Current number of equations to process: 4665
% 285.10/285.18  Current number of ordered equations: 0
% 285.10/285.18  Current number of rules: 879
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2542]
% 287.91/287.98  multiplication(multiplication(codomain(A),B),backward_diamond(B addition C,A))
% 287.91/287.98  -> multiplication(codomain(A),B)
% 287.91/287.98  Current number of equations to process: 4664
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 880
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2543]
% 287.91/287.98  multiplication(codomain(A),codomain(codomain(codomain(A) addition B) addition C))
% 287.91/287.98  -> codomain(A)
% 287.91/287.98  Current number of equations to process: 4662
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 881
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2544]
% 287.91/287.98  multiplication(multiplication(codomain(A),B),multiplication(c(backward_diamond(B,A)),C))
% 287.91/287.98  -> zero
% 287.91/287.98  Current number of equations to process: 4920
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 882
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2545]
% 287.91/287.98  multiplication(multiplication(c(multiplication(A,B) addition C),A),multiplication(B,X0))
% 287.91/287.98  -> zero
% 287.91/287.98  Current number of equations to process: 4928
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 883
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2546]
% 287.91/287.98  multiplication(c(multiplication(A,B) addition C),multiplication(A,multiplication(B,X0)))
% 287.91/287.98  -> zero
% 287.91/287.98  Current number of equations to process: 4927
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 884
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2547]
% 287.91/287.98  backward_diamond(c(codomain(backward_diamond(A,B) addition C)),multiplication(
% 287.91/287.98                                                                 codomain(B),A))
% 287.91/287.98  -> zero
% 287.91/287.98  Current number of equations to process: 4926
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 885
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2548]
% 287.91/287.98  backward_diamond(multiplication(A,c(codomain(multiplication(codomain(B),A) addition C))),B)
% 287.91/287.98  -> zero
% 287.91/287.98  Current number of equations to process: 4925
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 886
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2549]
% 287.91/287.98  backward_diamond(multiplication(multiplication(c(codomain(codomain(A) addition B)),C),X0),A)
% 287.91/287.98  -> zero
% 287.91/287.98  Current number of equations to process: 4924
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 887
% 287.91/287.98  Rule [287]
% 287.91/287.98       codomain(multiplication(multiplication(backward_diamond(A,B),C),X0)) ->
% 287.91/287.98       backward_diamond(multiplication(C,X0),multiplication(codomain(B),A)) is composed into 
% 287.91/287.98  [287]
% 287.91/287.98  codomain(multiplication(multiplication(backward_diamond(A,B),C),X0)) ->
% 287.91/287.98  backward_diamond(multiplication(C,X0),backward_diamond(A,B))
% 287.91/287.98  Rule [54]
% 287.91/287.98       codomain(multiplication(backward_diamond(A,B),C)) ->
% 287.91/287.98       backward_diamond(C,multiplication(codomain(B),A)) is composed into 
% 287.91/287.98  [54]
% 287.91/287.98  codomain(multiplication(backward_diamond(A,B),C)) ->
% 287.91/287.98  backward_diamond(C,backward_diamond(A,B))
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2550]
% 287.91/287.98  backward_diamond(A,multiplication(codomain(B),C)) ->
% 287.91/287.98  backward_diamond(A,backward_diamond(C,B))
% 287.91/287.98  Rule
% 287.91/287.98  [1344]
% 287.91/287.98  backward_diamond(backward_diamond(A,B),multiplication(codomain(B),A)) ->
% 287.91/287.98  backward_diamond(A,B) collapsed.
% 287.91/287.98  Rule
% 287.91/287.98  [2095] backward_diamond(A,multiplication(codomain(c(B)),c(c(B)))) -> zero
% 287.91/287.98  collapsed.
% 287.91/287.98  Rule
% 287.91/287.98  [2323]
% 287.91/287.98  backward_diamond(c(backward_diamond(A,B)),multiplication(codomain(B),A)) ->
% 287.91/287.98  zero collapsed.
% 287.91/287.98  Rule
% 287.91/287.98  [2435]
% 287.91/287.98  backward_diamond(multiplication(c(backward_diamond(A,B)),C),multiplication(
% 287.91/287.98                                                              codomain(B),A))
% 287.91/287.98  -> zero collapsed.
% 287.91/287.98  Rule
% 287.91/287.98  [2547]
% 287.91/287.98  backward_diamond(c(codomain(backward_diamond(A,B) addition C)),multiplication(
% 287.91/287.98                                                                 codomain(B),A))
% 287.91/287.98  -> zero collapsed.
% 287.91/287.98  Current number of equations to process: 4929
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 883
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2551]
% 287.91/287.98  backward_diamond(c(backward_diamond(A,B)),backward_diamond(A,B)) -> zero
% 287.91/287.98  Current number of equations to process: 4928
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 884
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2552]
% 287.91/287.98  backward_diamond(backward_diamond(A,B),backward_diamond(A,B)) ->
% 287.91/287.98  backward_diamond(A,B)
% 287.91/287.98  Current number of equations to process: 4927
% 287.91/287.98  Current number of ordered equations: 0
% 287.91/287.98  Current number of rules: 885
% 287.91/287.98  New rule produced :
% 287.91/287.98  [2553]
% 287.91/287.98  leq(multiplication(forward_diamond(A,B),forward_diamond(C,X0)),one) -> true
% 287.91/287.98  Current number of equations to process: 1539
% 287.91/287.98  Current number of ordered equations: 0
% 296.41/296.52  Current number of rules: 886
% 296.41/296.52  New rule produced :
% 296.41/296.52  [2554]
% 296.41/296.52  backward_diamond(multiplication(c(backward_diamond(A,B)),C),backward_diamond(A,B))
% 296.41/296.52  -> zero
% 296.41/296.52  Current number of equations to process: 1538
% 296.41/296.52  Current number of ordered equations: 0
% 296.41/296.52  Current number of rules: 887
% 296.41/296.52  New rule produced :
% 296.41/296.52  [2555]
% 296.41/296.52  leq(multiplication(multiplication(A,c(B)),forward_diamond(C,X0)),A) -> true
% 296.41/296.52  Current number of equations to process: 1537
% 296.41/296.52  Current number of ordered equations: 0
% 296.41/296.52  Current number of rules: 888
% 296.41/296.52  New rule produced :
% 296.41/296.52  [2556]
% 296.41/296.52  leq(multiplication(multiplication(c(A),B),forward_diamond(C,X0)),B) -> true
% 296.41/296.52  Current number of equations to process: 1536
% 296.41/296.52  Current number of ordered equations: 0
% 296.41/296.52  Current number of rules: 889
% 296.41/296.52  New rule produced :
% 296.41/296.52  [2557]
% 296.41/296.52  leq(multiplication(multiplication(A,codomain(B)),forward_diamond(C,X0)),A) ->
% 296.41/296.52  true
% 296.41/296.52  Current number of equations to process: 1550
% 296.41/296.52  Current number of ordered equations: 0
% 296.41/296.52  Current number of rules: 890
% 296.41/296.52  New rule produced :
% 296.41/296.52  [2558]
% 296.41/296.52  multiplication(A,multiplication(c(B),forward_diamond(C,X0))) addition A -> A
% 296.41/296.53  Rule
% 296.41/296.53  [2405]
% 296.41/296.53  multiplication(A,multiplication(c(codomain(B)),forward_diamond(C,X0))) addition A
% 296.41/296.53  -> A collapsed.
% 296.41/296.53  Current number of equations to process: 1782
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 890
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2559]
% 296.41/296.53  multiplication(multiplication(c(B),forward_diamond(C,X0)),A) addition A -> A
% 296.41/296.53  Rule
% 296.41/296.53  [2406]
% 296.41/296.53  multiplication(multiplication(c(codomain(B)),forward_diamond(C,X0)),A) addition A
% 296.41/296.53  -> A collapsed.
% 296.41/296.53  Current number of equations to process: 1781
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 890
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2560] leq(forward_diamond(A,B),codomain(forward_diamond(A,B))) -> true
% 296.41/296.53  Current number of equations to process: 2163
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 891
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2561]
% 296.41/296.53  leq(forward_diamond(A,B),codomain(forward_diamond(A,B) addition C)) -> true
% 296.41/296.53  Current number of equations to process: 2183
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 892
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2562]
% 296.41/296.53  leq(multiplication(forward_diamond(A,B),multiplication(c(C),X0)),X0) -> true
% 296.41/296.53  Current number of equations to process: 2182
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 893
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2563]
% 296.41/296.53  leq(multiplication(forward_diamond(A,B),multiplication(C,c(X0))),C) -> true
% 296.41/296.53  Current number of equations to process: 2181
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 894
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2564]
% 296.41/296.53  leq(multiplication(forward_diamond(A,B),multiplication(codomain(C),X0)),X0)
% 296.41/296.53  -> true
% 296.41/296.53  Current number of equations to process: 2196
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 895
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2565]
% 296.41/296.53  leq(forward_diamond(A,B),codomain(forward_diamond(A,B)) addition C) -> true
% 296.41/296.53  Current number of equations to process: 2195
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 896
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2566]
% 296.41/296.53  multiplication(A,multiplication(forward_diamond(B,C),c(X0))) addition A -> A
% 296.41/296.53  Rule
% 296.41/296.53  [2394]
% 296.41/296.53  multiplication(A,multiplication(forward_diamond(B,C),c(codomain(X0)))) addition A
% 296.41/296.53  -> A collapsed.
% 296.41/296.53  Current number of equations to process: 2437
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 896
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2567]
% 296.41/296.53  multiplication(multiplication(forward_diamond(B,C),c(X0)),A) addition A -> A
% 296.41/296.53  Rule
% 296.41/296.53  [2395]
% 296.41/296.53  multiplication(multiplication(forward_diamond(B,C),c(codomain(X0))),A) addition A
% 296.41/296.53  -> A collapsed.
% 296.41/296.53  Current number of equations to process: 2436
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 896
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2568] c(forward_diamond(A,B)) addition codomain(forward_diamond(A,B)) -> one
% 296.41/296.53  Current number of equations to process: 2630
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 897
% 296.41/296.53  New rule produced :
% 296.41/296.53  [2569] multiplication(A,multiplication(c(B),c(C))) addition A -> A
% 296.41/296.53  Rule
% 296.41/296.53  [2333] multiplication(A,multiplication(c(B),c(codomain(C)))) addition A -> A
% 296.41/296.53  collapsed.
% 296.41/296.53  Rule
% 296.41/296.53  [2335] multiplication(A,multiplication(c(codomain(B)),c(C))) addition A -> A
% 296.41/296.53  collapsed.
% 296.41/296.53  Current number of equations to process: 2814
% 296.41/296.53  Current number of ordered equations: 0
% 296.41/296.53  Current number of rules: 896
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2570] multiplication(multiplication(c(B),c(C)),A) addition A -> A
% 299.13/299.24  Rule
% 299.13/299.24  [2334] multiplication(multiplication(c(B),c(codomain(C))),A) addition A -> A
% 299.13/299.24  collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2336] multiplication(multiplication(c(codomain(B)),c(C)),A) addition A -> A
% 299.13/299.24  collapsed.
% 299.13/299.24  Current number of equations to process: 2813
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 895
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2571] one addition multiplication(multiplication(c(A),c(B)),c(C)) -> one
% 299.13/299.24  Rule
% 299.13/299.24  [2392]
% 299.13/299.24  one addition multiplication(multiplication(c(A),c(codomain(B))),c(C)) -> one
% 299.13/299.24  collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2403]
% 299.13/299.24  one addition multiplication(multiplication(c(codomain(A)),c(B)),c(C)) -> one
% 299.13/299.24  collapsed.
% 299.13/299.24  Current number of equations to process: 3152
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 894
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2572] one addition multiplication(c(A),multiplication(c(B),c(C))) -> one
% 299.13/299.24  Rule
% 299.13/299.24  [2393]
% 299.13/299.24  one addition multiplication(c(A),multiplication(c(B),c(codomain(C)))) -> one
% 299.13/299.24  collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2404]
% 299.13/299.24  one addition multiplication(c(A),multiplication(c(codomain(B)),c(C))) -> one
% 299.13/299.24  collapsed.
% 299.13/299.24  Current number of equations to process: 3151
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 893
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2573]
% 299.13/299.24  one addition multiplication(multiplication(c(A),c(B)),codomain(C)) -> one
% 299.13/299.24  Rule
% 299.13/299.24  [2382]
% 299.13/299.24  one addition multiplication(multiplication(c(A),c(codomain(B))),codomain(C))
% 299.13/299.24  -> one collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2384]
% 299.13/299.24  one addition multiplication(multiplication(c(codomain(A)),c(B)),codomain(C))
% 299.13/299.24  -> one collapsed.
% 299.13/299.24  Current number of equations to process: 3150
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 892
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2574]
% 299.13/299.24  one addition multiplication(codomain(A),multiplication(c(B),c(C))) -> one
% 299.13/299.24  Rule
% 299.13/299.24  [2386]
% 299.13/299.24  one addition multiplication(codomain(A),multiplication(c(B),c(codomain(C))))
% 299.13/299.24  -> one collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2387]
% 299.13/299.24  one addition multiplication(codomain(A),multiplication(c(codomain(B)),c(C)))
% 299.13/299.24  -> one collapsed.
% 299.13/299.24  Current number of equations to process: 3149
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 891
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2575] leq(codomain(A) addition multiplication(c(B),c(C)),one) -> true
% 299.13/299.24  Rule
% 299.13/299.24  [2388]
% 299.13/299.24  leq(codomain(A) addition multiplication(c(B),c(codomain(C))),one) -> true
% 299.13/299.24  collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2399]
% 299.13/299.24  leq(codomain(A) addition multiplication(c(codomain(B)),c(C)),one) -> true
% 299.13/299.24  collapsed.
% 299.13/299.24  Current number of equations to process: 3148
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 890
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2576] leq(c(A) addition multiplication(c(B),c(C)),one) -> true
% 299.13/299.24  Rule
% 299.13/299.24  [2389] leq(c(A) addition multiplication(c(B),c(codomain(C))),one) -> true
% 299.13/299.24  collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2400] leq(c(A) addition multiplication(c(codomain(B)),c(C)),one) -> true
% 299.13/299.24  collapsed.
% 299.13/299.24  Current number of equations to process: 3147
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 889
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2577] leq(multiplication(multiplication(c(A),c(B)),codomain(C)),one) -> true
% 299.13/299.24  Rule
% 299.13/299.24  [2390]
% 299.13/299.24  leq(multiplication(multiplication(c(A),c(codomain(B))),codomain(C)),one) ->
% 299.13/299.24  true collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2401]
% 299.13/299.24  leq(multiplication(multiplication(c(codomain(A)),c(B)),codomain(C)),one) ->
% 299.13/299.24  true collapsed.
% 299.13/299.24  Current number of equations to process: 3146
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 888
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2578] leq(multiplication(codomain(A),multiplication(c(B),c(C))),one) -> true
% 299.13/299.24  Rule
% 299.13/299.24  [2391]
% 299.13/299.24  leq(multiplication(codomain(A),multiplication(c(B),c(codomain(C)))),one) ->
% 299.13/299.24  true collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2402]
% 299.13/299.24  leq(multiplication(codomain(A),multiplication(c(codomain(B)),c(C))),one) ->
% 299.13/299.24  true collapsed.
% 299.13/299.24  Current number of equations to process: 3145
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 887
% 299.13/299.24  New rule produced :
% 299.13/299.24  [2579] leq(multiplication(multiplication(c(A),c(B)),c(C)),one) -> true
% 299.13/299.24  Rule
% 299.13/299.24  [2418]
% 299.13/299.24  leq(multiplication(multiplication(c(A),c(codomain(B))),c(C)),one) -> true
% 299.13/299.24  collapsed.
% 299.13/299.24  Rule
% 299.13/299.24  [2419]
% 299.13/299.24  leq(multiplication(multiplication(c(codomain(A)),c(B)),c(C)),one) -> true
% 299.13/299.24  collapsed.
% 299.13/299.24  Current number of equations to process: 3143
% 299.13/299.24  Current number of ordered equations: 0
% 299.13/299.24  Current number of rules: 886
% 299.13/299.24  New rCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------