TSTP Solution File: KLE122-10 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : KLE122-10 : 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 13:06:58 EST 2019

% Result   : Timeout 300.00s
% 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  : KLE122-10 : 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
% 0.03/0.24  % DateTime : Thu Feb 21 04:48:29 CST 2019
% 0.03/0.25  % CPUTime  : 
% 1.11/1.40  Processing problem /tmp/CiME_55464_n187.star.cs.uiowa.edu
% 1.11/1.40  #verbose 1;
% 1.11/1.40                let F = signature "  addition : AC; sK1_goals_X0,sK2_goals_X4,sK3_goals_X3,sK4_goals_X2,sK5_goals_X1,true,one,zero : constant;  if_then_else : 3;  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;";
% 1.11/1.40  let X = vars "A B C X0 X1 X2";
% 1.11/1.40  let Axioms = equations F X "
% 1.11/1.40   multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C));
% 1.11/1.40   ifeq2(A,A,B,C) = B;
% 1.11/1.40   ifeq(A,A,B,C) = B;
% 1.11/1.40   A addition zero = A;
% 1.11/1.40   A addition A = A;
% 1.11/1.40   multiplication(A,one) = A;
% 1.11/1.40   multiplication(one,A) = A;
% 1.11/1.40   multiplication(A,B addition C) = multiplication(A,B) addition multiplication(A,C);
% 1.11/1.40   multiplication(A addition B,C) = multiplication(A,C) addition multiplication(B,C);
% 1.11/1.40   multiplication(A,zero) = zero;
% 1.11/1.40   multiplication(zero,A) = zero;
% 1.11/1.40   ifeq(leq(A,B),true,A addition B,B) = B;
% 1.11/1.40   ifeq2(A addition B,B,leq(A,B),true) = true;
% 1.11/1.40   multiplication(antidomain(X0),X0) = zero;
% 1.11/1.40   antidomain(multiplication(X0,X1)) addition antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1))));
% 1.11/1.40   antidomain(antidomain(X0)) addition antidomain(X0) = one;
% 1.11/1.40   domain(X0) = antidomain(antidomain(X0));
% 1.11/1.40   multiplication(X0,coantidomain(X0)) = zero;
% 1.11/1.40   coantidomain(multiplication(X0,X1)) addition coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1));
% 1.11/1.40   coantidomain(coantidomain(X0)) addition coantidomain(X0) = one;
% 1.11/1.40   codomain(X0) = coantidomain(coantidomain(X0));
% 1.11/1.40   c(X0) = antidomain(domain(X0));
% 1.11/1.40   domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1));
% 1.11/1.40   forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1)));
% 1.11/1.40   backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0));
% 1.11/1.40   forward_box(X0,X1) = c(forward_diamond(X0,c(X1)));
% 1.11/1.40   backward_box(X0,X1) = c(backward_diamond(X0,c(X1)));
% 1.11/1.40   if_then_else(X0,X1,X2) = multiplication(domain(X0),X1) addition multiplication(antidomain(X0),X2);
% 1.11/1.40   backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),domain(sK3_goals_X3))) addition domain(sK2_goals_X4) = domain(sK2_goals_X4);
% 1.11/1.40   backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),domain(sK3_goals_X3))) addition domain(sK2_goals_X4) = domain(sK2_goals_X4);
% 1.11/1.40  ";
% 1.11/1.40  
% 1.11/1.40  let s1 = status F "
% 1.11/1.40   sK1_goals_X0 lr_lex;
% 1.11/1.40   sK2_goals_X4 lr_lex;
% 1.11/1.40   sK3_goals_X3 lr_lex;
% 1.11/1.40   sK4_goals_X2 lr_lex;
% 1.11/1.40   sK5_goals_X1 lr_lex;
% 1.11/1.40   if_then_else lr_lex;
% 1.11/1.40   backward_box lr_lex;
% 1.11/1.40   forward_box lr_lex;
% 1.11/1.40   backward_diamond lr_lex;
% 1.11/1.40   forward_diamond lr_lex;
% 1.11/1.40   domain_difference lr_lex;
% 1.11/1.40   c lr_lex;
% 1.11/1.40   codomain lr_lex;
% 1.11/1.40   coantidomain lr_lex;
% 1.11/1.40   domain lr_lex;
% 1.11/1.40   antidomain lr_lex;
% 1.11/1.40   true lr_lex;
% 1.11/1.40   leq lr_lex;
% 1.11/1.40   one lr_lex;
% 1.11/1.40   zero lr_lex;
% 1.11/1.40   ifeq lr_lex;
% 1.11/1.40   ifeq2 lr_lex;
% 1.11/1.40   multiplication mul;
% 1.11/1.40   addition mul;
% 1.11/1.40  ";
% 1.11/1.40  
% 1.11/1.40  let p1 = precedence F "
% 1.11/1.40  if_then_else > domain_difference > forward_box > backward_box > ifeq2 > ifeq > multiplication > leq > forward_diamond > backward_diamond > antidomain > domain > coantidomain > codomain > c > addition > zero > one > true > sK5_goals_X1 > sK4_goals_X2 > sK3_goals_X3 > sK2_goals_X4 > sK1_goals_X0";
% 1.11/1.40  
% 1.11/1.40  let s2 = status F "
% 1.11/1.40  sK1_goals_X0 mul;
% 1.11/1.40  sK2_goals_X4 mul;
% 1.11/1.40  sK3_goals_X3 mul;
% 1.11/1.40  sK4_goals_X2 mul;
% 1.11/1.40  sK5_goals_X1 mul;
% 1.11/1.40  if_then_else mul;
% 1.11/1.40  backward_box mul;
% 1.11/1.40  forward_box mul;
% 1.11/1.40  backward_diamond mul;
% 1.11/1.40  forward_diamond mul;
% 1.11/1.40  domain_difference mul;
% 1.11/1.40  c mul;
% 1.11/1.40  codomain mul;
% 1.11/1.40  coantidomain mul;
% 1.11/1.40  domain mul;
% 1.11/1.40  antidomain mul;
% 1.11/1.40  true mul;
% 1.11/1.40  leq mul;
% 1.11/1.40  one mul;
% 1.11/1.40  multiplication mul;
% 1.11/1.40  zero mul;
% 1.11/1.40  addition mul;
% 1.11/1.40  ifeq mul;
% 1.11/1.40  ifeq2 mul;
% 1.11/1.40  ";
% 1.11/1.40  
% 1.11/1.40  let p2 = precedence F "
% 1.11/1.40  if_then_else > domain_difference > forward_box > backward_box > ifeq2 > ifeq > multiplication > leq > forward_diamond > backward_diamond > antidomain > domain > coantidomain > codomain > c > addition > zero = one = true = sK5_goals_X1 = sK4_goals_X2 = sK3_goals_X3 = sK2_goals_X4 = sK1_goals_X0";
% 1.11/1.40  
% 1.11/1.40  let o_auto = AUTO Axioms;
% 1.11/1.40  
% 1.11/1.40  let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.11/1.40  
% 1.11/1.40  let Conjectures = equations F X " backward_diamond(if_then_else(sK4_goals_X2,sK1_goals_X0,sK5_goals_X1),domain(sK3_goals_X3)) addition domain(sK2_goals_X4) = domain(sK2_goals_X4);"
% 1.11/1.40  ;
% 1.11/1.40  (*
% 1.11/1.40  let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.11/1.40  
% 1.11/1.40  let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% 1.11/1.40  *)
% 1.11/1.40  #time on;
% 1.11/1.40  
% 1.11/1.40  let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.11/1.40  
% 1.11/1.40  #time off;
% 1.11/1.40  
% 1.11/1.40  
% 1.11/1.40  let status = if res then "unsatisfiable" else "satisfiable";
% 1.11/1.40  #quit;
% 1.11/1.40  Verbose level is now 1
% 1.11/1.40  
% 1.11/1.40  F : signature = <signature>
% 1.11/1.40  X : variable_set = <variable set>
% 1.11/1.40  
% 1.11/1.40  Axioms : (F,X) equations = { multiplication(multiplication(A,B),C) =
% 1.11/1.40                               multiplication(A,multiplication(B,C)),
% 1.11/1.40                               ifeq2(A,A,B,C) = B,
% 1.11/1.40                               ifeq(A,A,B,C) = B,
% 1.11/1.40                               zero addition A = A,
% 1.11/1.40                               A addition A = A,
% 1.11/1.40                               multiplication(A,one) = A,
% 1.11/1.40                               multiplication(one,A) = A,
% 1.11/1.40                               multiplication(A,B addition C) =
% 1.11/1.40                               multiplication(A,B) addition multiplication(A,C),
% 1.11/1.40                               multiplication(A addition B,C) =
% 1.11/1.40                               multiplication(A,C) addition multiplication(B,C),
% 1.11/1.40                               multiplication(A,zero) = zero,
% 1.11/1.40                               multiplication(zero,A) = zero,
% 1.11/1.40                               ifeq(leq(A,B),true,A addition B,B) = B,
% 1.11/1.40                               ifeq2(A addition B,B,leq(A,B),true) = true,
% 1.11/1.40                               multiplication(antidomain(X0),X0) = zero,
% 1.11/1.40                               antidomain(multiplication(X0,antidomain(
% 1.11/1.40                                                            antidomain(X1)))) addition 
% 1.11/1.40                               antidomain(multiplication(X0,X1)) =
% 1.11/1.40                               antidomain(multiplication(X0,antidomain(
% 1.11/1.40                                                            antidomain(X1)))),
% 1.11/1.40                               antidomain(antidomain(X0)) addition antidomain(X0)
% 1.11/1.40                               = one,
% 1.11/1.40                               domain(X0) = antidomain(antidomain(X0)),
% 1.11/1.40                               multiplication(X0,coantidomain(X0)) = zero,
% 1.11/1.40                               coantidomain(multiplication(coantidomain(
% 1.11/1.40                                                           coantidomain(X0)),X1)) addition 
% 1.11/1.40                               coantidomain(multiplication(X0,X1)) =
% 1.11/1.40                               coantidomain(multiplication(coantidomain(
% 1.11/1.40                                                           coantidomain(X0)),X1)),
% 1.11/1.40                               coantidomain(coantidomain(X0)) addition 
% 1.11/1.40                               coantidomain(X0) = one,
% 1.11/1.40                               codomain(X0) = coantidomain(coantidomain(X0)),
% 1.11/1.40                               c(X0) = antidomain(domain(X0)),
% 1.11/1.40                               domain_difference(X0,X1) =
% 1.11/1.40                               multiplication(domain(X0),antidomain(X1)),
% 1.11/1.40                               forward_diamond(X0,X1) =
% 1.11/1.40                               domain(multiplication(X0,domain(X1))),
% 1.11/1.40                               backward_diamond(X0,X1) =
% 1.11/1.40                               codomain(multiplication(codomain(X1),X0)),
% 1.11/1.40                               forward_box(X0,X1) =
% 1.11/1.40                               c(forward_diamond(X0,c(X1))),
% 1.11/1.40                               backward_box(X0,X1) =
% 1.11/1.40                               c(backward_diamond(X0,c(X1))),
% 1.11/1.40                               if_then_else(X0,X1,X2) =
% 1.11/1.40                               multiplication(domain(X0),X1) addition multiplication(
% 1.11/1.40                                                                      antidomain(X0),X2),
% 1.11/1.40                               backward_diamond(sK5_goals_X1,multiplication(
% 1.11/1.40                                                             antidomain(sK4_goals_X2),
% 1.11/1.40                                                             domain(sK3_goals_X3))) addition 
% 1.11/1.40                               domain(sK2_goals_X4) = domain(sK2_goals_X4),
% 1.11/1.40                               backward_diamond(sK1_goals_X0,multiplication(
% 1.11/1.40                                                             domain(sK4_goals_X2),
% 1.18/1.41                                                             domain(sK3_goals_X3))) addition 
% 1.18/1.41                               domain(sK2_goals_X4) = domain(sK2_goals_X4) }
% 1.18/1.41                               (30 equation(s))
% 1.18/1.41  s1 : F status = <status>
% 1.18/1.41  p1 : F precedence = <precedence>
% 1.18/1.41  s2 : F status = <status>
% 1.18/1.41  p2 : F precedence = <precedence>
% 1.18/1.41  o_auto : F term_ordering = <term ordering>
% 1.18/1.41  o : F term_ordering = <term ordering>
% 1.18/1.41  Conjectures : (F,X) equations = { backward_diamond(if_then_else(sK4_goals_X2,sK1_goals_X0,sK5_goals_X1),
% 1.18/1.41                                    domain(sK3_goals_X3)) addition domain(sK2_goals_X4)
% 1.18/1.41                                    = domain(sK2_goals_X4) } (1 equation(s))
% 1.18/1.41  time is now on
% 1.18/1.41  
% 1.18/1.41  Initializing completion ...
% 1.18/1.41  New rule produced : [1] A addition A -> A
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 30
% 1.18/1.41  Current number of rules: 1
% 1.18/1.41  New rule produced : [2] zero addition A -> A
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 29
% 1.18/1.41  Current number of rules: 2
% 1.18/1.41  New rule produced : [3] multiplication(A,zero) -> zero
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 28
% 1.18/1.41  Current number of rules: 3
% 1.18/1.41  New rule produced : [4] multiplication(A,one) -> A
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 27
% 1.18/1.41  Current number of rules: 4
% 1.18/1.41  New rule produced : [5] multiplication(zero,A) -> zero
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 26
% 1.18/1.41  Current number of rules: 5
% 1.18/1.41  New rule produced : [6] multiplication(one,A) -> A
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 25
% 1.18/1.41  Current number of rules: 6
% 1.18/1.41  New rule produced : [7] coantidomain(coantidomain(X0)) -> codomain(X0)
% 1.18/1.41  Current number of equations to process: 2
% 1.18/1.41  Current number of ordered equations: 22
% 1.18/1.41  Current number of rules: 7
% 1.18/1.41  New rule produced : [8] antidomain(antidomain(X0)) -> domain(X0)
% 1.18/1.41  Current number of equations to process: 2
% 1.18/1.41  Current number of ordered equations: 21
% 1.18/1.41  Current number of rules: 8
% 1.18/1.41  New rule produced : [9] antidomain(domain(X0)) -> c(X0)
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 22
% 1.18/1.41  Current number of rules: 9
% 1.18/1.41  New rule produced : [10] multiplication(X0,coantidomain(X0)) -> zero
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 21
% 1.18/1.41  Current number of rules: 10
% 1.18/1.41  New rule produced : [11] multiplication(antidomain(X0),X0) -> zero
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 20
% 1.18/1.41  Current number of rules: 11
% 1.18/1.41  New rule produced : [12] ifeq(A,A,B,C) -> B
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 19
% 1.18/1.41  Current number of rules: 12
% 1.18/1.41  New rule produced : [13] ifeq2(A,A,B,C) -> B
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 18
% 1.18/1.41  Current number of rules: 13
% 1.18/1.41  New rule produced :
% 1.18/1.41  [14] codomain(multiplication(codomain(X1),X0)) -> backward_diamond(X0,X1)
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 17
% 1.18/1.41  Current number of rules: 14
% 1.18/1.41  New rule produced :
% 1.18/1.41  [15] domain(multiplication(X0,domain(X1))) -> forward_diamond(X0,X1)
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 16
% 1.18/1.41  Current number of rules: 15
% 1.18/1.41  New rule produced : [16] domain(X0) addition antidomain(X0) -> one
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 15
% 1.18/1.41  Current number of rules: 16
% 1.18/1.41  New rule produced : [17] codomain(X0) addition coantidomain(X0) -> one
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 14
% 1.18/1.41  Current number of rules: 17
% 1.18/1.41  New rule produced : [18] backward_box(X0,X1) -> c(backward_diamond(X0,c(X1)))
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 13
% 1.18/1.41  Current number of rules: 18
% 1.18/1.41  New rule produced : [19] forward_box(X0,X1) -> c(forward_diamond(X0,c(X1)))
% 1.18/1.41  Current number of equations to process: 0
% 1.18/1.41  Current number of ordered equations: 12
% 1.18/1.41  Current number of rules: 19
% 1.18/1.41  New rule produced :
% 1.18/1.41  [20] domain_difference(X0,X1) -> multiplication(domain(X0),antidomain(X1))
% 1.18/1.43  Current number of equations to process: 0
% 1.18/1.43  Current number of ordered equations: 11
% 1.18/1.43  Current number of rules: 20
% 1.18/1.43  New rule produced :
% 1.18/1.43  [21]
% 1.18/1.43  multiplication(A,multiplication(B,C)) <->
% 1.18/1.43  multiplication(multiplication(A,B),C)
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 31
% 1.18/1.43  Current number of rules: 21
% 1.18/1.43  New rule produced :
% 1.18/1.43  [22]
% 1.18/1.43  multiplication(multiplication(A,B),C) <->
% 1.18/1.43  multiplication(A,multiplication(B,C))
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 30
% 1.18/1.43  Current number of rules: 22
% 1.18/1.43  New rule produced : [23] ifeq2(A addition B,B,leq(A,B),true) -> true
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 29
% 1.18/1.43  Current number of rules: 23
% 1.18/1.43  New rule produced :
% 1.18/1.43  [24]
% 1.18/1.43  multiplication(A,B addition C) ->
% 1.18/1.43  multiplication(A,B) addition multiplication(A,C)
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 28
% 1.18/1.43  Current number of rules: 24
% 1.18/1.43  New rule produced :
% 1.18/1.43  [25]
% 1.18/1.43  multiplication(A addition B,C) ->
% 1.18/1.43  multiplication(A,C) addition multiplication(B,C)
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 27
% 1.18/1.43  Current number of rules: 25
% 1.18/1.43  New rule produced : [26] ifeq(leq(A,B),true,A addition B,B) -> B
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 26
% 1.18/1.43  Current number of rules: 26
% 1.18/1.43  New rule produced :
% 1.18/1.43  [27]
% 1.18/1.43  backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 1.18/1.43                                domain(sK3_goals_X3))) addition domain(sK2_goals_X4)
% 1.18/1.43  -> domain(sK2_goals_X4)
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 25
% 1.18/1.43  Current number of rules: 27
% 1.18/1.43  New rule produced :
% 1.18/1.43  [28]
% 1.18/1.43  backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),domain(sK3_goals_X3))) addition 
% 1.18/1.43  domain(sK2_goals_X4) -> domain(sK2_goals_X4)
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 24
% 1.18/1.43  Current number of rules: 28
% 1.18/1.43  New rule produced :
% 1.18/1.43  [29]
% 1.18/1.43  if_then_else(X0,X1,X2) ->
% 1.18/1.43  multiplication(domain(X0),X1) addition multiplication(antidomain(X0),X2)
% 1.18/1.43  The conjecture has been reduced. 
% 1.18/1.43  Conjecture is now:
% 1.18/1.43  backward_diamond(multiplication(domain(sK4_goals_X2),sK1_goals_X0) addition 
% 1.18/1.43                   multiplication(antidomain(sK4_goals_X2),sK5_goals_X1),
% 1.18/1.43  domain(sK3_goals_X3)) addition domain(sK2_goals_X4) = domain(sK2_goals_X4)
% 1.18/1.43  
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 23
% 1.18/1.43  Current number of rules: 29
% 1.18/1.43  New rule produced :
% 1.18/1.43  [30]
% 1.18/1.43  coantidomain(multiplication(codomain(X0),X1)) addition coantidomain(multiplication(X0,X1))
% 1.18/1.43  -> coantidomain(multiplication(codomain(X0),X1))
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 22
% 1.18/1.43  Current number of rules: 30
% 1.18/1.43  New rule produced :
% 1.18/1.43  [31]
% 1.18/1.43  antidomain(multiplication(X0,domain(X1))) addition antidomain(multiplication(X0,X1))
% 1.18/1.43  -> antidomain(multiplication(X0,domain(X1)))
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 21
% 1.18/1.43  Current number of rules: 31
% 1.18/1.43  New rule produced : [32] coantidomain(one) -> zero
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 20
% 1.18/1.43  Current number of rules: 32
% 1.18/1.43  New rule produced : [33] antidomain(one) -> zero
% 1.18/1.43  Current number of equations to process: 13
% 1.18/1.43  Current number of ordered equations: 19
% 1.18/1.43  Current number of rules: 33
% 1.18/1.43  New rule produced : [34] domain(antidomain(A)) -> c(A)
% 1.18/1.43  Current number of equations to process: 14
% 1.18/1.43  Current number of ordered equations: 17
% 1.18/1.43  Current number of rules: 34
% 1.18/1.43  New rule produced : [35] backward_diamond(zero,A) -> codomain(zero)
% 1.18/1.43  Current number of equations to process: 14
% 1.18/1.43  Current number of ordered equations: 16
% 1.18/1.43  Current number of rules: 35
% 1.18/1.43  New rule produced : [36] forward_diamond(zero,A) -> domain(zero)
% 1.18/1.43  Current number of equations to process: 14
% 1.18/1.43  Current number of ordered equations: 15
% 1.18/1.43  Current number of rules: 36
% 1.18/1.43  New rule produced :
% 1.18/1.43  [37] coantidomain(codomain(A)) -> codomain(coantidomain(A))
% 1.18/1.43  Current number of equations to process: 15
% 1.18/1.43  Current number of ordered equations: 13
% 1.18/1.43  Current number of rules: 37
% 1.18/1.43  New rule produced : [38] antidomain(c(A)) -> domain(domain(A))
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 12
% 1.18/1.44  Current number of rules: 38
% 1.18/1.44  New rule produced : [39] backward_diamond(one,A) -> codomain(codomain(A))
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 11
% 1.18/1.44  Current number of rules: 39
% 1.18/1.44  New rule produced : [40] forward_diamond(one,A) -> domain(domain(A))
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 10
% 1.18/1.44  Current number of rules: 40
% 1.18/1.44  New rule produced : [41] one addition domain(A) -> one
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 9
% 1.18/1.44  Current number of rules: 41
% 1.18/1.44  New rule produced : [42] one addition antidomain(A) -> one
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 8
% 1.18/1.44  Current number of rules: 42
% 1.18/1.44  New rule produced : [43] one addition codomain(A) -> one
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 7
% 1.18/1.44  Current number of rules: 43
% 1.18/1.44  New rule produced : [44] one addition coantidomain(A) -> one
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 6
% 1.18/1.44  Current number of rules: 44
% 1.18/1.44  New rule produced : [45] multiplication(coantidomain(A),codomain(A)) -> zero
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 5
% 1.18/1.44  Current number of rules: 45
% 1.18/1.44  New rule produced : [46] multiplication(domain(A),antidomain(A)) -> zero
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 4
% 1.18/1.44  Current number of rules: 46
% 1.18/1.44  New rule produced : [47] multiplication(c(A),domain(A)) -> zero
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 3
% 1.18/1.44  Current number of rules: 47
% 1.18/1.44  New rule produced :
% 1.18/1.44  [48] backward_diamond(codomain(coantidomain(A)),A) -> codomain(zero)
% 1.18/1.44  Current number of equations to process: 14
% 1.18/1.44  Current number of ordered equations: 3
% 1.18/1.44  Current number of rules: 48
% 1.18/1.44  New rule produced : [49] c(A) addition domain(A) -> one
% 1.18/1.44  Current number of equations to process: 13
% 1.18/1.44  Current number of ordered equations: 3
% 1.18/1.44  Current number of rules: 49
% 1.18/1.44  New rule produced : [50] c(A) addition domain(domain(A)) -> one
% 1.18/1.44  Current number of equations to process: 13
% 1.18/1.44  Current number of ordered equations: 2
% 1.18/1.44  Current number of rules: 50
% 1.18/1.44  New rule produced :
% 1.18/1.44  [51] codomain(coantidomain(A)) addition codomain(A) -> one
% 1.18/1.44  Current number of equations to process: 13
% 1.18/1.44  Current number of ordered equations: 1
% 1.18/1.44  Current number of rules: 51
% 1.18/1.44  New rule produced :
% 1.18/1.44  [52] c(multiplication(A,domain(B))) -> antidomain(forward_diamond(A,B))
% 1.18/1.44  Current number of equations to process: 13
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 52
% 1.18/1.44  New rule produced :
% 1.18/1.44  [53] multiplication(multiplication(A,B),coantidomain(B)) -> zero
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 53
% 1.18/1.44  New rule produced :
% 1.18/1.44  [54] multiplication(multiplication(A,antidomain(B)),B) -> zero
% 1.18/1.44  Current number of equations to process: 14
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 54
% 1.18/1.44  New rule produced :
% 1.18/1.44  [55] multiplication(A,multiplication(coantidomain(A),B)) -> zero
% 1.18/1.44  Current number of equations to process: 17
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 55
% 1.18/1.44  New rule produced :
% 1.18/1.44  [56] multiplication(antidomain(A),multiplication(A,B)) -> zero
% 1.18/1.44  Current number of equations to process: 16
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 56
% 1.18/1.44  New rule produced :
% 1.18/1.44  [57]
% 1.18/1.44  codomain(multiplication(backward_diamond(A,B),C)) ->
% 1.18/1.44  backward_diamond(C,multiplication(codomain(B),A))
% 1.18/1.44  Current number of equations to process: 15
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 57
% 1.18/1.44  New rule produced :
% 1.18/1.44  [58]
% 1.18/1.44  domain(multiplication(A,forward_diamond(B,C))) ->
% 1.18/1.44  forward_diamond(A,multiplication(B,domain(C)))
% 1.18/1.44  Current number of equations to process: 14
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 58
% 1.18/1.44  New rule produced : [59] leq(A,A) -> true
% 1.18/1.44  Current number of equations to process: 17
% 1.18/1.44  Current number of ordered equations: 0
% 1.18/1.44  Current number of rules: 59
% 1.18/1.44  New rule produced : [60] leq(A,A addition B) -> true
% 1.18/1.47  Current number of equations to process: 16
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 60
% 1.18/1.47  New rule produced : [61] leq(zero,A) -> true
% 1.18/1.47  Current number of equations to process: 17
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 61
% 1.18/1.47  New rule produced : [62] ifeq2(A,zero,leq(A,zero),true) -> true
% 1.18/1.47  Current number of equations to process: 16
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 62
% 1.18/1.47  New rule produced : [63] ifeq(leq(A,zero),true,A,zero) -> zero
% 1.18/1.47  Current number of equations to process: 53
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 63
% 1.18/1.47  New rule produced :
% 1.18/1.47  [64]
% 1.18/1.47  forward_diamond(A,B) addition antidomain(multiplication(A,domain(B))) -> one
% 1.18/1.47  Current number of equations to process: 66
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 64
% 1.18/1.47  New rule produced :
% 1.18/1.47  [65]
% 1.18/1.47  backward_diamond(A,B) addition coantidomain(multiplication(codomain(B),A)) ->
% 1.18/1.47  one
% 1.18/1.47  Current number of equations to process: 64
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 65
% 1.18/1.47  New rule produced :
% 1.18/1.47  [66]
% 1.18/1.47  codomain(multiplication(multiplication(codomain(A),B),C)) ->
% 1.18/1.47  backward_diamond(multiplication(B,C),A)
% 1.18/1.47  Current number of equations to process: 63
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 66
% 1.18/1.47  New rule produced :
% 1.18/1.47  [67]
% 1.18/1.47  domain(multiplication(A,multiplication(B,domain(C)))) ->
% 1.18/1.47  forward_diamond(multiplication(A,B),C)
% 1.18/1.47  Current number of equations to process: 62
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 67
% 1.18/1.47  New rule produced :
% 1.18/1.47  [68]
% 1.18/1.47  multiplication(A,domain(B)) addition multiplication(A,antidomain(B)) -> A
% 1.18/1.47  Current number of equations to process: 61
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 68
% 1.18/1.47  New rule produced :
% 1.18/1.47  [69]
% 1.18/1.47  multiplication(A,codomain(B)) addition multiplication(A,coantidomain(B)) -> A
% 1.18/1.47  Current number of equations to process: 60
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 69
% 1.18/1.47  New rule produced :
% 1.18/1.47  [70]
% 1.18/1.47  multiplication(domain(B),A) addition multiplication(antidomain(B),A) -> A
% 1.18/1.47  Current number of equations to process: 59
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 70
% 1.18/1.47  New rule produced :
% 1.18/1.47  [71]
% 1.18/1.47  multiplication(codomain(B),A) addition multiplication(coantidomain(B),A) -> A
% 1.18/1.47  Current number of equations to process: 58
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 71
% 1.18/1.47  New rule produced :
% 1.18/1.47  [72]
% 1.18/1.47  multiplication(A,multiplication(multiplication(B,C),X0)) <->
% 1.18/1.47  multiplication(multiplication(A,B),multiplication(C,X0))
% 1.18/1.47  Current number of equations to process: 57
% 1.18/1.47  Current number of ordered equations: 1
% 1.18/1.47  Current number of rules: 72
% 1.18/1.47  New rule produced :
% 1.18/1.47  [73]
% 1.18/1.47  multiplication(multiplication(A,B),multiplication(C,X0)) <->
% 1.18/1.47  multiplication(A,multiplication(multiplication(B,C),X0))
% 1.18/1.47  Current number of equations to process: 57
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 73
% 1.18/1.47  New rule produced :
% 1.18/1.47  [74]
% 1.18/1.47  multiplication(multiplication(A,multiplication(B,C)),X0) <->
% 1.18/1.47  multiplication(multiplication(A,B),multiplication(C,X0))
% 1.18/1.47  Current number of equations to process: 56
% 1.18/1.47  Current number of ordered equations: 1
% 1.18/1.47  Current number of rules: 74
% 1.18/1.47  New rule produced :
% 1.18/1.47  [75]
% 1.18/1.47  multiplication(multiplication(A,B),multiplication(C,X0)) <->
% 1.18/1.47  multiplication(multiplication(A,multiplication(B,C)),X0)
% 1.18/1.47  Current number of equations to process: 56
% 1.18/1.47  Current number of ordered equations: 0
% 1.18/1.47  Current number of rules: 75
% 1.18/1.47  New rule produced :
% 1.18/1.47  [76]
% 1.18/1.47  multiplication(A,multiplication(multiplication(B,C),X0)) <->
% 1.18/1.47  multiplication(multiplication(multiplication(A,B),C),X0)
% 1.18/1.47  Current number of equations to process: 53
% 1.18/1.47  Current number of ordered equations: 5
% 1.18/1.47  Current number of rules: 76
% 1.18/1.47  New rule produced :
% 1.18/1.47  [77]
% 1.18/1.47  multiplication(A,multiplication(B,multiplication(C,X0))) <->
% 1.18/1.47  multiplication(multiplication(A,multiplication(B,C)),X0)
% 1.18/1.47  Current number of equations to process: 53
% 1.18/1.47  Current number of ordered equations: 4
% 1.18/1.47  Current number of rules: 77
% 1.18/1.47  New rule produced :
% 1.18/1.47  [78]
% 1.18/1.47  multiplication(A,multiplication(B,multiplication(C,X0))) <->
% 1.18/1.47  multiplication(multiplication(multiplication(A,B),C),X0)
% 1.18/1.47  Current number of equations to process: 53
% 1.18/1.47  Current number of ordered equations: 3
% 1.18/1.52  Current number of rules: 78
% 1.18/1.52  New rule produced :
% 1.18/1.52  [79]
% 1.18/1.52  multiplication(multiplication(A,multiplication(B,C)),X0) <->
% 1.18/1.52  multiplication(A,multiplication(B,multiplication(C,X0)))
% 1.18/1.52  Current number of equations to process: 53
% 1.18/1.52  Current number of ordered equations: 2
% 1.18/1.52  Current number of rules: 79
% 1.18/1.52  New rule produced :
% 1.18/1.52  [80]
% 1.18/1.52  multiplication(multiplication(multiplication(A,B),C),X0) <->
% 1.18/1.52  multiplication(A,multiplication(multiplication(B,C),X0))
% 1.18/1.52  Current number of equations to process: 53
% 1.18/1.52  Current number of ordered equations: 1
% 1.18/1.52  Current number of rules: 80
% 1.18/1.52  New rule produced :
% 1.18/1.52  [81]
% 1.18/1.52  multiplication(multiplication(multiplication(A,B),C),X0) <->
% 1.18/1.52  multiplication(A,multiplication(B,multiplication(C,X0)))
% 1.18/1.52  Current number of equations to process: 53
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 81
% 1.18/1.52  New rule produced :
% 1.18/1.52  [82] ifeq2(one,domain(A),leq(antidomain(A),domain(A)),true) -> true
% 1.18/1.52  Current number of equations to process: 51
% 1.18/1.52  Current number of ordered equations: 1
% 1.18/1.52  Current number of rules: 82
% 1.18/1.52  New rule produced :
% 1.18/1.52  [83] ifeq2(one,antidomain(A),leq(domain(A),antidomain(A)),true) -> true
% 1.18/1.52  Current number of equations to process: 51
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 83
% 1.18/1.52  New rule produced :
% 1.18/1.52  [84] ifeq2(one,codomain(A),leq(coantidomain(A),codomain(A)),true) -> true
% 1.18/1.52  Current number of equations to process: 49
% 1.18/1.52  Current number of ordered equations: 1
% 1.18/1.52  Current number of rules: 84
% 1.18/1.52  New rule produced :
% 1.18/1.52  [85] ifeq2(one,coantidomain(A),leq(codomain(A),coantidomain(A)),true) -> true
% 1.18/1.52  Current number of equations to process: 49
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 85
% 1.18/1.52  New rule produced :
% 1.18/1.52  [86]
% 1.18/1.52  one addition backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 1.18/1.52                                             domain(sK3_goals_X3))) -> one
% 1.18/1.52  Current number of equations to process: 50
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 86
% 1.18/1.52  New rule produced :
% 1.18/1.52  [87]
% 1.18/1.52  leq(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 1.18/1.52                                    domain(sK3_goals_X3))),domain(sK2_goals_X4))
% 1.18/1.52  -> true
% 1.18/1.52  Current number of equations to process: 71
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 87
% 1.18/1.52  New rule produced :
% 1.18/1.52  [88]
% 1.18/1.52  one addition backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 1.18/1.52                                             domain(sK3_goals_X3))) -> one
% 1.18/1.52  Current number of equations to process: 72
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 88
% 1.18/1.52  New rule produced :
% 1.18/1.52  [89]
% 1.18/1.52  leq(backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 1.18/1.52                                    domain(sK3_goals_X3))),domain(sK2_goals_X4))
% 1.18/1.52  -> true
% 1.18/1.52  Current number of equations to process: 93
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 89
% 1.18/1.52  New rule produced :
% 1.18/1.52  [90]
% 1.18/1.52  ifeq(leq(domain(A),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 1.18/1.52  Current number of equations to process: 91
% 1.18/1.52  Current number of ordered equations: 1
% 1.18/1.52  Current number of rules: 90
% 1.18/1.52  New rule produced :
% 1.18/1.52  [91] ifeq(leq(antidomain(A),domain(A)),true,one,domain(A)) -> domain(A)
% 1.18/1.52  Current number of equations to process: 91
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 91
% 1.18/1.52  New rule produced :
% 1.18/1.52  [92]
% 1.18/1.52  ifeq(leq(codomain(A),coantidomain(A)),true,one,coantidomain(A)) ->
% 1.18/1.52  coantidomain(A)
% 1.18/1.52  Current number of equations to process: 89
% 1.18/1.52  Current number of ordered equations: 1
% 1.18/1.52  Current number of rules: 92
% 1.18/1.52  New rule produced :
% 1.18/1.52  [93]
% 1.18/1.52  ifeq(leq(coantidomain(A),codomain(A)),true,one,codomain(A)) -> codomain(A)
% 1.18/1.52  Current number of equations to process: 89
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 93
% 1.18/1.52  New rule produced :
% 1.18/1.52  [94] ifeq2(A addition B,A,leq(A addition B,A),true) -> true
% 1.18/1.52  Current number of equations to process: 88
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 94
% 1.18/1.52  New rule produced : [95] ifeq(leq(A addition B,A),true,A addition B,A) -> A
% 1.18/1.52  Current number of equations to process: 87
% 1.18/1.52  Current number of ordered equations: 0
% 1.18/1.52  Current number of rules: 95
% 1.18/1.52  New rule produced :
% 1.18/1.52  [96]
% 1.18/1.52  codomain(multiplication(codomain(A),B) addition multiplication(codomain(A),C))
% 1.18/1.52  <-> backward_diamond(B addition C,A)
% 1.18/1.57  Current number of equations to process: 84
% 1.18/1.57  Current number of ordered equations: 1
% 1.18/1.57  Current number of rules: 96
% 1.18/1.57  New rule produced :
% 1.18/1.57  [97]
% 1.18/1.57  backward_diamond(B addition C,A) <->
% 1.18/1.57  codomain(multiplication(codomain(A),B) addition multiplication(codomain(A),C))
% 1.18/1.57  Current number of equations to process: 84
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 97
% 1.18/1.57  New rule produced :
% 1.18/1.57  [98]
% 1.18/1.57  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 1.18/1.57  forward_diamond(A addition C,B)
% 1.18/1.57  Current number of equations to process: 83
% 1.18/1.57  Current number of ordered equations: 1
% 1.18/1.57  Current number of rules: 98
% 1.18/1.57  New rule produced :
% 1.18/1.57  [99]
% 1.18/1.57  forward_diamond(A addition C,B) <->
% 1.18/1.57  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B)))
% 1.18/1.57  Current number of equations to process: 83
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 99
% 1.18/1.57  New rule produced :
% 1.18/1.57  [100]
% 1.18/1.57  leq(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 1.18/1.57                                    domain(sK3_goals_X3))),domain(sK2_goals_X4) addition A)
% 1.18/1.57  -> true
% 1.18/1.57  Current number of equations to process: 81
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 100
% 1.18/1.57  New rule produced :
% 1.18/1.57  [101]
% 1.18/1.57  leq(backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 1.18/1.57                                    domain(sK3_goals_X3))),domain(sK2_goals_X4) addition A)
% 1.18/1.57  -> true
% 1.18/1.57  Current number of equations to process: 79
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 101
% 1.18/1.57  New rule produced :
% 1.18/1.57  [102]
% 1.18/1.57  multiplication(antidomain(A addition B),A) addition multiplication(antidomain(
% 1.18/1.57                                                                     A addition B),B)
% 1.18/1.57  -> zero
% 1.18/1.57  Current number of equations to process: 78
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 102
% 1.18/1.57  New rule produced :
% 1.18/1.57  [103]
% 1.18/1.57  multiplication(A,coantidomain(A addition B)) addition multiplication(B,
% 1.18/1.57                                                        coantidomain(A addition B))
% 1.18/1.57  -> zero
% 1.18/1.57  Current number of equations to process: 77
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 103
% 1.18/1.57  New rule produced :
% 1.18/1.57  [104]
% 1.18/1.57  codomain(coantidomain(A)) addition coantidomain(A) ->
% 1.18/1.57  codomain(coantidomain(A))
% 1.18/1.57  Current number of equations to process: 80
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 104
% 1.18/1.57  New rule produced :
% 1.18/1.57  [105]
% 1.18/1.57  coantidomain(zero) addition coantidomain(multiplication(codomain(zero),A)) ->
% 1.18/1.57  coantidomain(multiplication(codomain(zero),A))
% 1.18/1.57  Current number of equations to process: 90
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 105
% 1.18/1.57  New rule produced :
% 1.18/1.57  [106]
% 1.18/1.57  coantidomain(multiplication(codomain(one),A)) addition coantidomain(A) ->
% 1.18/1.57  coantidomain(multiplication(codomain(one),A))
% 1.18/1.57  Current number of equations to process: 89
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 106
% 1.18/1.57  New rule produced :
% 1.18/1.57  [107]
% 1.18/1.57  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(A),B))
% 1.18/1.57  -> one
% 1.18/1.57  Current number of equations to process: 88
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 107
% 1.18/1.57  New rule produced :
% 1.18/1.57  [108]
% 1.18/1.57  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)))
% 1.18/1.57  -> true
% 1.18/1.57  Current number of equations to process: 101
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 108
% 1.18/1.57  New rule produced :
% 1.18/1.57  [109]
% 1.18/1.57  coantidomain(zero) addition coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.18/1.57  -> coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.18/1.57  Current number of equations to process: 117
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 109
% 1.18/1.57  New rule produced :
% 1.18/1.57  [110]
% 1.18/1.57  coantidomain(zero) addition coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.18/1.57  -> coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.18/1.57  Current number of equations to process: 116
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 110
% 1.18/1.57  New rule produced :
% 1.18/1.57  [111]
% 1.18/1.57  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)) addition C)
% 1.18/1.57  -> true
% 1.18/1.57  Current number of equations to process: 115
% 1.18/1.57  Current number of ordered equations: 0
% 1.18/1.57  Current number of rules: 111
% 1.18/1.62  New rule produced : [112] c(A) addition antidomain(A) -> c(A)
% 1.18/1.62  Current number of equations to process: 119
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 112
% 1.18/1.62  New rule produced :
% 1.18/1.62  [113]
% 1.18/1.62  antidomain(zero) addition antidomain(multiplication(A,domain(zero))) ->
% 1.18/1.62  antidomain(multiplication(A,domain(zero)))
% 1.18/1.62  Current number of equations to process: 125
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 113
% 1.18/1.62  New rule produced :
% 1.18/1.62  [114]
% 1.18/1.62  antidomain(multiplication(A,domain(one))) addition antidomain(A) ->
% 1.18/1.62  antidomain(multiplication(A,domain(one)))
% 1.18/1.62  Current number of equations to process: 124
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 114
% 1.18/1.62  New rule produced :
% 1.18/1.62  [115]
% 1.18/1.62  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(B)))
% 1.18/1.62  -> one
% 1.18/1.62  Current number of equations to process: 123
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 115
% 1.18/1.62  New rule produced :
% 1.18/1.62  [116]
% 1.18/1.62  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))))
% 1.18/1.62  -> true
% 1.18/1.62  Current number of equations to process: 136
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 116
% 1.18/1.62  New rule produced :
% 1.18/1.62  [117]
% 1.18/1.62  antidomain(zero) addition antidomain(multiplication(A,domain(coantidomain(A))))
% 1.18/1.62  -> antidomain(multiplication(A,domain(coantidomain(A))))
% 1.18/1.62  Current number of equations to process: 152
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 117
% 1.18/1.62  New rule produced :
% 1.18/1.62  [118]
% 1.18/1.62  antidomain(zero) addition antidomain(multiplication(antidomain(A),domain(A)))
% 1.18/1.62  -> antidomain(multiplication(antidomain(A),domain(A)))
% 1.18/1.62  Current number of equations to process: 151
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 118
% 1.18/1.62  New rule produced :
% 1.18/1.62  [119]
% 1.18/1.62  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))) addition C)
% 1.18/1.62  -> true
% 1.18/1.62  Current number of equations to process: 150
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 119
% 1.18/1.62  New rule produced : [120] coantidomain(zero) -> codomain(one)
% 1.18/1.62  Rule
% 1.18/1.62  [105]
% 1.18/1.62  coantidomain(zero) addition coantidomain(multiplication(codomain(zero),A)) ->
% 1.18/1.62  coantidomain(multiplication(codomain(zero),A)) collapsed.
% 1.18/1.62  Rule
% 1.18/1.62  [109]
% 1.18/1.62  coantidomain(zero) addition coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.18/1.62  -> coantidomain(multiplication(codomain(A),coantidomain(A))) collapsed.
% 1.18/1.62  Rule
% 1.18/1.62  [110]
% 1.18/1.62  coantidomain(zero) addition coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.18/1.62  -> coantidomain(multiplication(codomain(antidomain(A)),A)) collapsed.
% 1.18/1.62  Current number of equations to process: 150
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 117
% 1.18/1.62  Rule [120] coantidomain(zero) -> codomain(one) is composed into [120]
% 1.18/1.62                                                                  coantidomain(zero)
% 1.18/1.62                                                                  -> one
% 1.18/1.62  New rule produced : [121] codomain(one) -> one
% 1.18/1.62  Rule
% 1.18/1.62  [106]
% 1.18/1.62  coantidomain(multiplication(codomain(one),A)) addition coantidomain(A) ->
% 1.18/1.62  coantidomain(multiplication(codomain(one),A)) collapsed.
% 1.18/1.62  Current number of equations to process: 151
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 117
% 1.18/1.62  New rule produced : [122] antidomain(zero) -> domain(one)
% 1.18/1.62  Rule
% 1.18/1.62  [113]
% 1.18/1.62  antidomain(zero) addition antidomain(multiplication(A,domain(zero))) ->
% 1.18/1.62  antidomain(multiplication(A,domain(zero))) collapsed.
% 1.18/1.62  Rule
% 1.18/1.62  [117]
% 1.18/1.62  antidomain(zero) addition antidomain(multiplication(A,domain(coantidomain(A))))
% 1.18/1.62  -> antidomain(multiplication(A,domain(coantidomain(A)))) collapsed.
% 1.18/1.62  Rule
% 1.18/1.62  [118]
% 1.18/1.62  antidomain(zero) addition antidomain(multiplication(antidomain(A),domain(A)))
% 1.18/1.62  -> antidomain(multiplication(antidomain(A),domain(A))) collapsed.
% 1.18/1.62  Current number of equations to process: 153
% 1.18/1.62  Current number of ordered equations: 0
% 1.18/1.62  Current number of rules: 115
% 1.18/1.62  Rule [122] antidomain(zero) -> domain(one) is composed into [122]
% 1.18/1.62                                                              antidomain(zero)
% 1.18/1.62                                                              -> one
% 1.18/1.62  New rule produced : [123] domain(one) -> one
% 1.18/1.62  Rule
% 1.18/1.62  [114]
% 1.18/1.62  antidomain(multiplication(A,domain(one))) addition antidomain(A) ->
% 1.18/1.62  antidomain(multiplication(A,domain(one))) collapsed.
% 1.18/1.62  Current number of equations to process: 154
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 115
% 1.18/1.68  New rule produced : [124] c(antidomain(A)) -> domain(domain(A))
% 1.18/1.68  Current number of equations to process: 153
% 1.18/1.68  Current number of ordered equations: 1
% 1.18/1.68  Current number of rules: 116
% 1.18/1.68  New rule produced : [125] domain(c(A)) -> c(domain(A))
% 1.18/1.68  Current number of equations to process: 153
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 117
% 1.18/1.68  New rule produced :
% 1.18/1.68  [126] domain(multiplication(A,c(B))) -> forward_diamond(A,antidomain(B))
% 1.18/1.68  Current number of equations to process: 153
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 118
% 1.18/1.68  Rule [36] forward_diamond(zero,A) -> domain(zero) is composed into [36]
% 1.18/1.68                                                                     forward_diamond(zero,A)
% 1.18/1.68                                                                     -> 
% 1.18/1.68                                                                     c(one)
% 1.18/1.68  New rule produced : [127] domain(zero) -> c(one)
% 1.18/1.68  Current number of equations to process: 155
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 119
% 1.18/1.68  New rule produced :
% 1.18/1.68  [128] multiplication(codomain(A),codomain(coantidomain(A))) -> zero
% 1.18/1.68  Current number of equations to process: 158
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 120
% 1.18/1.68  New rule produced :
% 1.18/1.68  [129] codomain(codomain(A)) addition codomain(coantidomain(A)) -> one
% 1.18/1.68  Current number of equations to process: 157
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 121
% 1.18/1.68  New rule produced :
% 1.18/1.68  [130]
% 1.18/1.68  codomain(coantidomain(multiplication(codomain(B),A))) ->
% 1.18/1.68  coantidomain(backward_diamond(A,B))
% 1.18/1.68  Current number of equations to process: 156
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 122
% 1.18/1.68  New rule produced : [131] multiplication(domain(domain(A)),c(A)) -> zero
% 1.18/1.68  Current number of equations to process: 156
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 123
% 1.18/1.68  New rule produced : [132] domain(domain(domain(A))) -> c(c(A))
% 1.18/1.68  Current number of equations to process: 156
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 124
% 1.18/1.68  New rule produced : [133] one addition forward_diamond(A,B) -> one
% 1.18/1.68  Current number of equations to process: 157
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 125
% 1.18/1.68  New rule produced : [134] leq(domain(A),one) -> true
% 1.18/1.68  Current number of equations to process: 164
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 126
% 1.18/1.68  New rule produced : [135] leq(domain(A),one addition B) -> true
% 1.18/1.68  Current number of equations to process: 163
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 127
% 1.18/1.68  New rule produced : [136] multiplication(A,domain(B)) addition A -> A
% 1.18/1.68  Current number of equations to process: 165
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 128
% 1.18/1.68  New rule produced : [137] multiplication(domain(B),A) addition A -> A
% 1.18/1.68  Current number of equations to process: 167
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 129
% 1.18/1.68  New rule produced : [138] one addition c(A) -> one
% 1.18/1.68  Current number of equations to process: 173
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 130
% 1.18/1.68  New rule produced : [139] leq(antidomain(A),one) -> true
% 1.18/1.68  Current number of equations to process: 180
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 131
% 1.18/1.68  New rule produced : [140] leq(antidomain(A),one addition B) -> true
% 1.18/1.68  Current number of equations to process: 179
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 132
% 1.18/1.68  New rule produced : [141] multiplication(A,antidomain(B)) addition A -> A
% 1.18/1.68  Current number of equations to process: 181
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 133
% 1.18/1.68  New rule produced : [142] multiplication(antidomain(B),A) addition A -> A
% 1.18/1.68  Current number of equations to process: 183
% 1.18/1.68  Current number of ordered equations: 0
% 1.18/1.68  Current number of rules: 134
% 1.18/1.68  New rule produced : [143] one addition backward_diamond(A,B) -> one
% 1.18/1.68  Rule
% 1.18/1.68  [86]
% 1.18/1.68  one addition backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 1.18/1.68                                             domain(sK3_goals_X3))) -> one
% 1.49/1.73  collapsed.
% 1.49/1.73  Rule
% 1.49/1.73  [88]
% 1.49/1.73  one addition backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 1.49/1.73                                             domain(sK3_goals_X3))) -> one
% 1.49/1.73  collapsed.
% 1.49/1.73  Current number of equations to process: 189
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 133
% 1.49/1.73  New rule produced : [144] leq(codomain(A),one) -> true
% 1.49/1.73  Current number of equations to process: 196
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 134
% 1.49/1.73  New rule produced : [145] leq(codomain(A),one addition B) -> true
% 1.49/1.73  Current number of equations to process: 195
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 135
% 1.49/1.73  New rule produced : [146] multiplication(A,codomain(B)) addition A -> A
% 1.49/1.73  Current number of equations to process: 197
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 136
% 1.49/1.73  New rule produced : [147] multiplication(codomain(B),A) addition A -> A
% 1.49/1.73  Current number of equations to process: 199
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 137
% 1.49/1.73  New rule produced : [148] leq(coantidomain(A),one) -> true
% 1.49/1.73  Current number of equations to process: 211
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 138
% 1.49/1.73  New rule produced : [149] leq(coantidomain(A),one addition B) -> true
% 1.49/1.73  Current number of equations to process: 210
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 139
% 1.49/1.73  New rule produced : [150] multiplication(A,coantidomain(B)) addition A -> A
% 1.49/1.73  Current number of equations to process: 212
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 140
% 1.49/1.73  New rule produced : [151] multiplication(coantidomain(B),A) addition A -> A
% 1.49/1.73  Current number of equations to process: 214
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 141
% 1.49/1.73  New rule produced :
% 1.49/1.73  [152] multiplication(multiplication(A,coantidomain(B)),codomain(B)) -> zero
% 1.49/1.73  Current number of equations to process: 222
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 142
% 1.49/1.73  New rule produced :
% 1.49/1.73  [153] multiplication(coantidomain(A),multiplication(codomain(A),B)) -> zero
% 1.49/1.73  Current number of equations to process: 221
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 143
% 1.49/1.73  New rule produced :
% 1.49/1.73  [154] ifeq2(one,domain(A),leq(one,domain(A)),true) -> true
% 1.49/1.73  Current number of equations to process: 220
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 144
% 1.49/1.73  New rule produced :
% 1.49/1.73  [155] ifeq2(one,antidomain(A),leq(one,antidomain(A)),true) -> true
% 1.49/1.73  Current number of equations to process: 219
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 145
% 1.49/1.73  New rule produced :
% 1.49/1.73  [156] ifeq2(one,codomain(A),leq(one,codomain(A)),true) -> true
% 1.49/1.73  Current number of equations to process: 218
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 146
% 1.49/1.73  New rule produced :
% 1.49/1.73  [157] ifeq2(one,coantidomain(A),leq(one,coantidomain(A)),true) -> true
% 1.49/1.73  Current number of equations to process: 217
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 147
% 1.49/1.73  New rule produced :
% 1.49/1.73  [158]
% 1.49/1.73  multiplication(coantidomain(multiplication(codomain(A),B)),backward_diamond(B,A))
% 1.49/1.73  -> zero
% 1.49/1.73  Current number of equations to process: 216
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 148
% 1.49/1.73  New rule produced :
% 1.49/1.73  [159]
% 1.49/1.73  coantidomain(multiplication(codomain(coantidomain(A)),codomain(A))) -> one
% 1.49/1.73  Current number of equations to process: 217
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 149
% 1.49/1.73  New rule produced :
% 1.49/1.73  [160] antidomain(multiplication(coantidomain(A),domain(codomain(A)))) -> one
% 1.49/1.73  Current number of equations to process: 222
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 150
% 1.49/1.73  New rule produced :
% 1.49/1.73  [161] multiplication(codomain(coantidomain(A)),codomain(codomain(A))) -> zero
% 1.49/1.73  Current number of equations to process: 221
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 151
% 1.49/1.73  New rule produced :
% 1.49/1.73  [162] multiplication(multiplication(A,domain(B)),antidomain(B)) -> zero
% 1.49/1.73  Current number of equations to process: 220
% 1.49/1.73  Current number of ordered equations: 0
% 1.49/1.73  Current number of rules: 152
% 1.49/1.73  New rule produced :
% 1.49/1.73  [163] multiplication(domain(A),multiplication(antidomain(A),B)) -> zero
% 1.56/1.83  Current number of equations to process: 219
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 153
% 1.56/1.83  New rule produced :
% 1.56/1.83  [164]
% 1.56/1.83  multiplication(forward_diamond(A,B),antidomain(multiplication(A,domain(B))))
% 1.56/1.83  -> zero
% 1.56/1.83  Current number of equations to process: 218
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 154
% 1.56/1.83  New rule produced :
% 1.56/1.83  [165] coantidomain(multiplication(codomain(domain(A)),antidomain(A))) -> one
% 1.56/1.83  Current number of equations to process: 219
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 155
% 1.56/1.83  New rule produced : [166] forward_diamond(c(A),A) -> c(one)
% 1.56/1.83  Current number of equations to process: 219
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 156
% 1.56/1.83  New rule produced :
% 1.56/1.83  [167] multiplication(multiplication(A,c(B)),domain(B)) -> zero
% 1.56/1.83  Current number of equations to process: 220
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 157
% 1.56/1.83  New rule produced :
% 1.56/1.83  [168] multiplication(c(A),multiplication(domain(A),B)) -> zero
% 1.56/1.83  Current number of equations to process: 219
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 158
% 1.56/1.83  New rule produced :
% 1.56/1.83  [169] coantidomain(multiplication(codomain(c(A)),domain(A))) -> one
% 1.56/1.83  Current number of equations to process: 220
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 159
% 1.56/1.83  New rule produced :
% 1.56/1.83  [170]
% 1.56/1.83  backward_diamond(codomain(codomain(A)),coantidomain(A)) -> codomain(zero)
% 1.56/1.83  Current number of equations to process: 222
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 160
% 1.56/1.83  New rule produced :
% 1.56/1.83  [171] antidomain(multiplication(c(A),domain(domain(A)))) -> one
% 1.56/1.83  Current number of equations to process: 221
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 161
% 1.56/1.83  New rule produced :
% 1.56/1.83  [172] backward_diamond(codomain(zero),one) -> codomain(zero)
% 1.56/1.83  Current number of equations to process: 221
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 162
% 1.56/1.83  New rule produced :
% 1.56/1.83  [173]
% 1.56/1.83  backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) ->
% 1.56/1.83  codomain(zero)
% 1.56/1.83  Current number of equations to process: 245
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 163
% 1.56/1.83  New rule produced :
% 1.56/1.83  [174] forward_diamond(A,B) addition antidomain(forward_diamond(A,B)) -> one
% 1.56/1.83  Current number of equations to process: 244
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 164
% 1.56/1.83  New rule produced :
% 1.56/1.83  [175] multiplication(A,c(B)) addition multiplication(A,domain(B)) -> A
% 1.56/1.83  Current number of equations to process: 243
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 165
% 1.56/1.83  New rule produced :
% 1.56/1.83  [176] multiplication(c(B),A) addition multiplication(domain(B),A) -> A
% 1.56/1.83  Current number of equations to process: 242
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 166
% 1.56/1.83  New rule produced :
% 1.56/1.83  [177] ifeq(leq(one,domain(A)),true,one,domain(A)) -> domain(A)
% 1.56/1.83  Current number of equations to process: 241
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 167
% 1.56/1.83  New rule produced :
% 1.56/1.83  [178] ifeq(leq(one,antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 1.56/1.83  Current number of equations to process: 240
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 168
% 1.56/1.83  New rule produced :
% 1.56/1.83  [179] ifeq(leq(one,codomain(A)),true,one,codomain(A)) -> codomain(A)
% 1.56/1.83  Current number of equations to process: 239
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 169
% 1.56/1.83  New rule produced :
% 1.56/1.83  [180]
% 1.56/1.83  ifeq(leq(one,coantidomain(A)),true,one,coantidomain(A)) -> coantidomain(A)
% 1.56/1.83  Current number of equations to process: 238
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 170
% 1.56/1.83  New rule produced :
% 1.56/1.83  [181]
% 1.56/1.83  backward_diamond(A,B) addition coantidomain(backward_diamond(A,B)) -> one
% 1.56/1.83  Current number of equations to process: 283
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 171
% 1.56/1.83  New rule produced : [182] c(zero) -> one
% 1.56/1.83  Current number of equations to process: 285
% 1.56/1.83  Current number of ordered equations: 0
% 1.56/1.83  Current number of rules: 172
% 1.56/1.83  New rule produced :
% 1.56/1.83  [183]
% 1.56/1.83  codomain(codomain(coantidomain(A))) addition codomain(codomain(A)) -> one
% 1.56/1.83  Current number of equations to process: 287
% 1.66/1.88  Current number of ordered equations: 0
% 1.66/1.88  Current number of rules: 173
% 1.66/1.88  New rule produced :
% 1.66/1.88  [184]
% 1.66/1.88  c(multiplication(A,forward_diamond(B,C))) ->
% 1.66/1.88  antidomain(forward_diamond(A,multiplication(B,domain(C))))
% 1.66/1.88  Current number of equations to process: 286
% 1.66/1.88  Current number of ordered equations: 0
% 1.66/1.88  Current number of rules: 174
% 1.66/1.88  New rule produced :
% 1.66/1.88  [185]
% 1.66/1.88  c(multiplication(A,multiplication(B,domain(C)))) ->
% 1.66/1.88  antidomain(forward_diamond(multiplication(A,B),C))
% 1.66/1.88  Current number of equations to process: 285
% 1.66/1.88  Current number of ordered equations: 0
% 1.66/1.88  Current number of rules: 175
% 1.66/1.88  New rule produced :
% 1.66/1.88  [186]
% 1.66/1.88  c(multiplication(A,c(B))) -> antidomain(forward_diamond(A,antidomain(B)))
% 1.66/1.88  Current number of equations to process: 287
% 1.66/1.88  Current number of ordered equations: 0
% 1.66/1.88  Current number of rules: 176
% 1.66/1.88  New rule produced :
% 1.66/1.88  [187]
% 1.66/1.88  multiplication(multiplication(A,B),multiplication(coantidomain(B),C)) -> zero
% 1.66/1.88  Current number of equations to process: 287
% 1.66/1.88  Current number of ordered equations: 0
% 1.66/1.88  Current number of rules: 177
% 1.66/1.88  New rule produced :
% 1.66/1.88  [188]
% 1.66/1.88  coantidomain(multiplication(codomain(multiplication(A,B)),coantidomain(B)))
% 1.66/1.89  -> one
% 1.66/1.89  Current number of equations to process: 288
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 178
% 1.66/1.89  New rule produced :
% 1.66/1.89  [189]
% 1.66/1.89  antidomain(multiplication(multiplication(A,B),domain(coantidomain(B)))) ->
% 1.66/1.89  one
% 1.66/1.89  Current number of equations to process: 292
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 179
% 1.66/1.89  New rule produced :
% 1.66/1.89  [190]
% 1.66/1.89  multiplication(multiplication(A,codomain(B)),codomain(coantidomain(B))) ->
% 1.66/1.89  zero
% 1.66/1.89  Current number of equations to process: 291
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 180
% 1.66/1.89  New rule produced :
% 1.66/1.89  [191]
% 1.66/1.89  multiplication(multiplication(A,antidomain(B)),multiplication(B,C)) -> zero
% 1.66/1.89  Current number of equations to process: 290
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 181
% 1.66/1.89  New rule produced :
% 1.66/1.89  [192]
% 1.66/1.89  coantidomain(multiplication(codomain(multiplication(A,antidomain(B))),B)) ->
% 1.66/1.89  one
% 1.66/1.89  Current number of equations to process: 291
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 182
% 1.66/1.89  New rule produced :
% 1.66/1.89  [193]
% 1.66/1.89  antidomain(multiplication(multiplication(A,antidomain(B)),domain(B))) -> one
% 1.66/1.89  Current number of equations to process: 294
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 183
% 1.66/1.89  New rule produced :
% 1.66/1.89  [194] multiplication(multiplication(A,domain(domain(B))),c(B)) -> zero
% 1.66/1.89  Current number of equations to process: 293
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 184
% 1.66/1.89  New rule produced :
% 1.66/1.89  [195]
% 1.66/1.89  coantidomain(multiplication(codomain(A),multiplication(coantidomain(A),B)))
% 1.66/1.89  -> one
% 1.66/1.89  Current number of equations to process: 294
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 185
% 1.66/1.89  New rule produced :
% 1.66/1.89  [196]
% 1.66/1.89  antidomain(multiplication(A,domain(multiplication(coantidomain(A),B)))) ->
% 1.66/1.89  one
% 1.66/1.89  Current number of equations to process: 298
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 186
% 1.66/1.89  New rule produced :
% 1.66/1.89  [197]
% 1.66/1.89  multiplication(codomain(A),multiplication(codomain(coantidomain(A)),B)) ->
% 1.66/1.89  zero
% 1.66/1.89  Current number of equations to process: 297
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 187
% 1.66/1.89  New rule produced :
% 1.66/1.89  [198]
% 1.66/1.89  coantidomain(multiplication(codomain(antidomain(A)),multiplication(A,B))) ->
% 1.66/1.89  one
% 1.66/1.89  Current number of equations to process: 298
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 188
% 1.66/1.89  New rule produced :
% 1.66/1.89  [199]
% 1.66/1.89  antidomain(multiplication(antidomain(A),domain(multiplication(A,B)))) -> one
% 1.66/1.89  Current number of equations to process: 300
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 189
% 1.66/1.89  New rule produced :
% 1.66/1.89  [200] multiplication(domain(domain(A)),multiplication(c(A),B)) -> zero
% 1.66/1.89  Current number of equations to process: 299
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 190
% 1.66/1.89  New rule produced :
% 1.66/1.89  [201]
% 1.66/1.89  backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 1.66/1.89  -> codomain(zero)
% 1.66/1.89  Current number of equations to process: 303
% 1.66/1.89  Current number of ordered equations: 0
% 1.66/1.89  Current number of rules: 191
% 1.66/1.89  New rule produced :
% 1.66/1.89  [202] coantidomain(multiplication(codomain(zero),A)) -> one
% 1.69/1.96  Current number of equations to process: 302
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 192
% 1.69/1.96  New rule produced : [203] antidomain(multiplication(A,c(one))) -> one
% 1.69/1.96  Current number of equations to process: 301
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 193
% 1.69/1.96  New rule produced :
% 1.69/1.96  [204] ifeq2(one,domain(A),leq(c(A),domain(A)),true) -> true
% 1.69/1.96  Current number of equations to process: 293
% 1.69/1.96  Current number of ordered equations: 1
% 1.69/1.96  Current number of rules: 194
% 1.69/1.96  New rule produced : [205] ifeq2(one,c(A),leq(domain(A),c(A)),true) -> true
% 1.69/1.96  Current number of equations to process: 293
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 195
% 1.69/1.96  New rule produced :
% 1.69/1.96  [206]
% 1.69/1.96  multiplication(A,c(B)) addition multiplication(A,domain(domain(B))) -> A
% 1.69/1.96  Current number of equations to process: 292
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 196
% 1.69/1.96  New rule produced :
% 1.69/1.96  [207]
% 1.69/1.96  multiplication(c(B),A) addition multiplication(domain(domain(B)),A) -> A
% 1.69/1.96  Current number of equations to process: 291
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 197
% 1.69/1.96  New rule produced :
% 1.69/1.96  [208]
% 1.69/1.96  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 1.69/1.96                                                       codomain(B)) -> A
% 1.69/1.96  Current number of equations to process: 290
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 198
% 1.69/1.96  New rule produced :
% 1.69/1.96  [209]
% 1.69/1.96  multiplication(codomain(coantidomain(B)),A) addition multiplication(codomain(B),A)
% 1.69/1.96  -> A
% 1.69/1.96  Current number of equations to process: 289
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 199
% 1.69/1.96  New rule produced :
% 1.69/1.96  [210]
% 1.69/1.96  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C)))
% 1.69/1.96  -> zero
% 1.69/1.96  Current number of equations to process: 288
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 200
% 1.69/1.96  New rule produced :
% 1.69/1.96  [211]
% 1.69/1.96  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 1.69/1.96  -> zero
% 1.69/1.96  Current number of equations to process: 287
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 201
% 1.69/1.96  New rule produced :
% 1.69/1.96  [212] ifeq(leq(c(A),domain(A)),true,one,domain(A)) -> domain(A)
% 1.69/1.96  Current number of equations to process: 285
% 1.69/1.96  Current number of ordered equations: 1
% 1.69/1.96  Current number of rules: 202
% 1.69/1.96  New rule produced : [213] ifeq(leq(domain(A),c(A)),true,one,c(A)) -> c(A)
% 1.69/1.96  Current number of equations to process: 285
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 203
% 1.69/1.96  New rule produced :
% 1.69/1.96  [214]
% 1.69/1.96  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,domain(B)))
% 1.69/1.96  -> c(one)
% 1.69/1.96  Current number of equations to process: 296
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 204
% 1.69/1.96  New rule produced :
% 1.69/1.96  [215]
% 1.69/1.96  codomain(coantidomain(multiplication(backward_diamond(C,B),A))) ->
% 1.69/1.96  coantidomain(backward_diamond(A,multiplication(codomain(B),C)))
% 1.69/1.96  Current number of equations to process: 295
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 205
% 1.69/1.96  New rule produced : [216] leq(domain(A) addition B,one addition B) -> true
% 1.69/1.96  Current number of equations to process: 309
% 1.69/1.96  Current number of ordered equations: 1
% 1.69/1.96  Current number of rules: 206
% 1.69/1.96  New rule produced :
% 1.69/1.96  [217] leq(antidomain(A) addition B,one addition B) -> true
% 1.69/1.96  Current number of equations to process: 309
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 207
% 1.69/1.96  New rule produced : [218] leq(codomain(A) addition B,one addition B) -> true
% 1.69/1.96  Current number of equations to process: 307
% 1.69/1.96  Current number of ordered equations: 1
% 1.69/1.96  Current number of rules: 208
% 1.69/1.96  New rule produced :
% 1.69/1.96  [219] leq(coantidomain(A) addition B,one addition B) -> true
% 1.69/1.96  Current number of equations to process: 307
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 209
% 1.69/1.96  New rule produced : [220] leq(c(A),one) -> true
% 1.69/1.96  Current number of equations to process: 319
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 210
% 1.69/1.96  New rule produced : [221] leq(c(A),one addition B) -> true
% 1.69/1.96  Current number of equations to process: 321
% 1.69/1.96  Current number of ordered equations: 0
% 1.69/1.96  Current number of rules: 211
% 1.69/1.96  New rule produced : [222] leq(c(A) addition B,one addition B) -> true
% 1.87/2.10  Current number of equations to process: 320
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 212
% 1.87/2.10  New rule produced :
% 1.87/2.10  [223] leq(domain(A) addition B,one addition B addition C) -> true
% 1.87/2.10  Current number of equations to process: 318
% 1.87/2.10  Current number of ordered equations: 1
% 1.87/2.10  Current number of rules: 213
% 1.87/2.10  New rule produced :
% 1.87/2.10  [224] leq(antidomain(A) addition B,one addition B addition C) -> true
% 1.87/2.10  Current number of equations to process: 318
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 214
% 1.87/2.10  New rule produced :
% 1.87/2.10  [225] leq(codomain(A) addition B,one addition B addition C) -> true
% 1.87/2.10  Current number of equations to process: 316
% 1.87/2.10  Current number of ordered equations: 1
% 1.87/2.10  Current number of rules: 215
% 1.87/2.10  New rule produced :
% 1.87/2.10  [226] leq(coantidomain(A) addition B,one addition B addition C) -> true
% 1.87/2.10  Current number of equations to process: 316
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 216
% 1.87/2.10  New rule produced :
% 1.87/2.10  [227] leq(c(A) addition B,one addition B addition C) -> true
% 1.87/2.10  Current number of equations to process: 310
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 217
% 1.87/2.10  New rule produced :
% 1.87/2.10  [228] ifeq2(one,c(A),leq(domain(domain(A)),c(A)),true) -> true
% 1.87/2.10  Current number of equations to process: 335
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 218
% 1.87/2.10  New rule produced :
% 1.87/2.10  [229]
% 1.87/2.10  ifeq2(one,codomain(A),leq(codomain(coantidomain(A)),codomain(A)),true) ->
% 1.87/2.10  true
% 1.87/2.10  Current number of equations to process: 333
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 219
% 1.87/2.10  New rule produced : [230] leq(forward_diamond(A,B),one) -> true
% 1.87/2.10  Current number of equations to process: 331
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 220
% 1.87/2.10  New rule produced : [231] leq(forward_diamond(A,B),one addition C) -> true
% 1.87/2.10  Current number of equations to process: 330
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 221
% 1.87/2.10  New rule produced :
% 1.87/2.10  [232] leq(forward_diamond(A,B) addition C,one addition C) -> true
% 1.87/2.10  Current number of equations to process: 357
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 222
% 1.87/2.10  New rule produced :
% 1.87/2.10  [233]
% 1.87/2.10  forward_diamond(A,B) addition antidomain(multiplication(A,domain(domain(B))))
% 1.87/2.10  -> one
% 1.87/2.10  Current number of equations to process: 360
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 223
% 1.87/2.10  New rule produced :
% 1.87/2.10  [234]
% 1.87/2.10  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,c(B)))
% 1.87/2.10  -> one
% 1.87/2.10  Current number of equations to process: 359
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 224
% 1.87/2.10  New rule produced :
% 1.87/2.10  [235] leq(forward_diamond(A,B) addition C,one addition C addition X0) -> true
% 1.87/2.10  Current number of equations to process: 358
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 225
% 1.87/2.10  New rule produced :
% 1.87/2.10  [236]
% 1.87/2.10  backward_diamond(A,B) addition coantidomain(multiplication(codomain(codomain(B)),A))
% 1.87/2.10  -> one
% 1.87/2.10  Current number of equations to process: 359
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 226
% 1.87/2.10  New rule produced : [237] leq(backward_diamond(A,B),one) -> true
% 1.87/2.10  Current number of equations to process: 364
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 227
% 1.87/2.10  New rule produced : [238] leq(backward_diamond(A,B),one addition C) -> true
% 1.87/2.10  Current number of equations to process: 363
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 228
% 1.87/2.10  New rule produced :
% 1.87/2.10  [239] leq(backward_diamond(A,B) addition C,one addition C) -> true
% 1.87/2.10  Current number of equations to process: 371
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 229
% 1.87/2.10  New rule produced :
% 1.87/2.10  [240]
% 1.87/2.10  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 1.87/2.10  -> codomain(zero)
% 1.87/2.10  Current number of equations to process: 370
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 230
% 1.87/2.10  New rule produced :
% 1.87/2.10  [241]
% 1.87/2.10  leq(backward_diamond(A,B) addition C,one addition C addition X0) -> true
% 1.87/2.10  Current number of equations to process: 369
% 1.87/2.10  Current number of ordered equations: 0
% 1.87/2.10  Current number of rules: 231
% 1.87/2.10  New rule produced :
% 1.87/2.10  [242]
% 1.87/2.10  forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 2.01/2.24  -> c(one)
% 2.01/2.24  Current number of equations to process: 387
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 232
% 2.01/2.24  New rule produced :
% 2.01/2.24  [243]
% 2.01/2.24  codomain(coantidomain(multiplication(multiplication(codomain(C),A),B))) ->
% 2.01/2.24  coantidomain(backward_diamond(multiplication(A,B),C))
% 2.01/2.24  Current number of equations to process: 386
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 233
% 2.01/2.24  New rule produced : [244] forward_diamond(multiplication(A,c(B)),B) -> c(one)
% 2.01/2.24  Current number of equations to process: 390
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 234
% 2.01/2.24  New rule produced :
% 2.01/2.24  [245]
% 2.01/2.24  domain(multiplication(A,multiplication(B,c(C)))) ->
% 2.01/2.24  forward_diamond(multiplication(A,B),antidomain(C))
% 2.01/2.24  Current number of equations to process: 421
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 235
% 2.01/2.24  New rule produced : [246] multiplication(domain(A),domain(A)) -> domain(A)
% 2.01/2.24  Current number of equations to process: 422
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 236
% 2.01/2.24  New rule produced : [247] multiplication(c(A),antidomain(A)) -> c(A)
% 2.01/2.24  Current number of equations to process: 423
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 237
% 2.01/2.24  New rule produced : [248] leq(multiplication(A,domain(B)),A) -> true
% 2.01/2.24  Current number of equations to process: 429
% 2.01/2.24  Current number of ordered equations: 1
% 2.01/2.24  Current number of rules: 238
% 2.01/2.24  New rule produced : [249] leq(multiplication(A,antidomain(B)),A) -> true
% 2.01/2.24  Current number of equations to process: 429
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 239
% 2.01/2.24  New rule produced :
% 2.01/2.24  [250] leq(multiplication(A,domain(B)),A addition C) -> true
% 2.01/2.24  Current number of equations to process: 427
% 2.01/2.24  Current number of ordered equations: 1
% 2.01/2.24  Current number of rules: 240
% 2.01/2.24  New rule produced :
% 2.01/2.24  [251] leq(multiplication(A,antidomain(B)),A addition C) -> true
% 2.01/2.24  Current number of equations to process: 427
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 241
% 2.01/2.24  New rule produced : [252] multiplication(A,codomain(A)) -> A
% 2.01/2.24  Current number of equations to process: 430
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 242
% 2.01/2.24  New rule produced :
% 2.01/2.24  [253]
% 2.01/2.24  multiplication(antidomain(codomain(A)),coantidomain(A)) ->
% 2.01/2.24  antidomain(codomain(A))
% 2.01/2.24  Current number of equations to process: 431
% 2.01/2.24  Current number of ordered equations: 1
% 2.01/2.24  Current number of rules: 243
% 2.01/2.24  New rule produced :
% 2.01/2.24  [254]
% 2.01/2.24  multiplication(antidomain(coantidomain(A)),codomain(A)) ->
% 2.01/2.24  antidomain(coantidomain(A))
% 2.01/2.24  Current number of equations to process: 431
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 244
% 2.01/2.24  New rule produced :
% 2.01/2.24  [255] leq(multiplication(A,domain(B)) addition C,A addition C) -> true
% 2.01/2.24  Current number of equations to process: 457
% 2.01/2.24  Current number of ordered equations: 1
% 2.01/2.24  Current number of rules: 245
% 2.01/2.24  New rule produced :
% 2.01/2.24  [256] leq(multiplication(A,antidomain(B)) addition C,A addition C) -> true
% 2.01/2.24  Current number of equations to process: 457
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 246
% 2.01/2.24  New rule produced :
% 2.01/2.24  [257] multiplication(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 2.01/2.24  Current number of equations to process: 458
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 247
% 2.01/2.24  New rule produced :
% 2.01/2.24  [258] multiplication(multiplication(A,B),codomain(B)) -> multiplication(A,B)
% 2.01/2.24  Current number of equations to process: 459
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 248
% 2.01/2.24  New rule produced : [259] leq(multiplication(A,codomain(B)),A) -> true
% 2.01/2.24  Current number of equations to process: 470
% 2.01/2.24  Current number of ordered equations: 1
% 2.01/2.24  Current number of rules: 249
% 2.01/2.24  New rule produced : [260] leq(multiplication(A,coantidomain(B)),A) -> true
% 2.01/2.24  Current number of equations to process: 470
% 2.01/2.24  Current number of ordered equations: 0
% 2.01/2.24  Current number of rules: 250
% 2.01/2.24  New rule produced :
% 2.01/2.24  [261] leq(multiplication(A,codomain(B)),A addition C) -> true
% 2.01/2.24  Current number of equations to process: 468
% 2.01/2.24  Current number of ordered equations: 1
% 2.01/2.24  Current number of rules: 251
% 2.01/2.24  New rule produced :
% 2.01/2.24  [262] leq(multiplication(A,coantidomain(B)),A addition C) -> true
% 2.01/2.24  Current number of equations to process: 468
% 2.01/2.24  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 252
% 2.10/2.38  New rule produced : [263] multiplication(domain(A),A) -> A
% 2.10/2.38  Current number of equations to process: 475
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 253
% 2.10/2.38  New rule produced :
% 2.10/2.38  [264]
% 2.10/2.38  multiplication(domain(A),coantidomain(antidomain(A))) ->
% 2.10/2.38  coantidomain(antidomain(A))
% 2.10/2.38  Current number of equations to process: 473
% 2.10/2.38  Current number of ordered equations: 1
% 2.10/2.38  Current number of rules: 254
% 2.10/2.38  New rule produced :
% 2.10/2.38  [265]
% 2.10/2.38  multiplication(antidomain(A),coantidomain(domain(A))) ->
% 2.10/2.38  coantidomain(domain(A))
% 2.10/2.38  Current number of equations to process: 473
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 255
% 2.10/2.38  New rule produced :
% 2.10/2.38  [266]
% 2.10/2.38  multiplication(multiplication(A,antidomain(codomain(B))),coantidomain(B)) ->
% 2.10/2.38  multiplication(A,antidomain(codomain(B)))
% 2.10/2.38  Current number of equations to process: 497
% 2.10/2.38  Current number of ordered equations: 1
% 2.10/2.38  Current number of rules: 256
% 2.10/2.38  New rule produced :
% 2.10/2.38  [267]
% 2.10/2.38  multiplication(multiplication(A,antidomain(coantidomain(B))),codomain(B)) ->
% 2.10/2.38  multiplication(A,antidomain(coantidomain(B)))
% 2.10/2.38  Current number of equations to process: 497
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 257
% 2.10/2.38  New rule produced :
% 2.10/2.38  [268] leq(multiplication(A,codomain(B)) addition C,A addition C) -> true
% 2.10/2.38  Current number of equations to process: 495
% 2.10/2.38  Current number of ordered equations: 1
% 2.10/2.38  Current number of rules: 258
% 2.10/2.38  New rule produced :
% 2.10/2.38  [269] leq(multiplication(A,coantidomain(B)) addition C,A addition C) -> true
% 2.10/2.38  Current number of equations to process: 495
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 259
% 2.10/2.38  New rule produced :
% 2.10/2.38  [270]
% 2.10/2.38  multiplication(A,codomain(codomain(B))) addition multiplication(A,codomain(
% 2.10/2.38                                                                    coantidomain(B)))
% 2.10/2.38  -> A
% 2.10/2.38  Current number of equations to process: 492
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 260
% 2.10/2.38  New rule produced :
% 2.10/2.38  [271] multiplication(antidomain(A),antidomain(A)) -> antidomain(A)
% 2.10/2.38  Current number of equations to process: 493
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 261
% 2.10/2.38  New rule produced :
% 2.10/2.38  [272] multiplication(domain(A),multiplication(A,B)) -> multiplication(A,B)
% 2.10/2.38  Current number of equations to process: 498
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 262
% 2.10/2.38  New rule produced : [273] leq(multiplication(domain(A),B),B) -> true
% 2.10/2.38  Current number of equations to process: 505
% 2.10/2.38  Current number of ordered equations: 1
% 2.10/2.38  Current number of rules: 263
% 2.10/2.38  New rule produced : [274] leq(multiplication(antidomain(A),B),B) -> true
% 2.10/2.38  Current number of equations to process: 505
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 264
% 2.10/2.38  New rule produced :
% 2.10/2.38  [275] leq(multiplication(domain(A),B),B addition C) -> true
% 2.10/2.38  Current number of equations to process: 503
% 2.10/2.38  Current number of ordered equations: 1
% 2.10/2.38  Current number of rules: 265
% 2.10/2.38  New rule produced :
% 2.10/2.38  [276] leq(multiplication(antidomain(A),B),B addition C) -> true
% 2.10/2.38  Current number of equations to process: 503
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 266
% 2.10/2.38  New rule produced :
% 2.10/2.38  [277]
% 2.10/2.38  multiplication(domain(A),multiplication(coantidomain(antidomain(A)),B)) ->
% 2.10/2.38  multiplication(coantidomain(antidomain(A)),B)
% 2.10/2.38  Current number of equations to process: 547
% 2.10/2.38  Current number of ordered equations: 1
% 2.10/2.38  Current number of rules: 267
% 2.10/2.38  New rule produced :
% 2.10/2.38  [278]
% 2.10/2.38  multiplication(antidomain(A),multiplication(coantidomain(domain(A)),B)) ->
% 2.10/2.38  multiplication(coantidomain(domain(A)),B)
% 2.10/2.38  Current number of equations to process: 547
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 268
% 2.10/2.38  New rule produced :
% 2.10/2.38  [279] leq(multiplication(domain(A),B) addition C,B addition C) -> true
% 2.10/2.38  Current number of equations to process: 544
% 2.10/2.38  Current number of ordered equations: 1
% 2.10/2.38  Current number of rules: 269
% 2.10/2.38  New rule produced :
% 2.10/2.38  [280] leq(multiplication(antidomain(A),B) addition C,B addition C) -> true
% 2.10/2.38  Current number of equations to process: 544
% 2.10/2.38  Current number of ordered equations: 0
% 2.10/2.38  Current number of rules: 270
% 2.10/2.38  New rule produced :
% 2.10/2.38  [281] multiplication(codomain(A),codomain(A)) -> codomain(A)
% 2.10/2.38  Current number of equations to process: 547
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 271
% 2.18/2.45  New rule produced : [282] leq(multiplication(codomain(A),B),B) -> true
% 2.18/2.45  Current number of equations to process: 554
% 2.18/2.45  Current number of ordered equations: 1
% 2.18/2.45  Current number of rules: 272
% 2.18/2.45  New rule produced : [283] leq(multiplication(coantidomain(A),B),B) -> true
% 2.18/2.45  Current number of equations to process: 554
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 273
% 2.18/2.45  New rule produced :
% 2.18/2.45  [284] leq(multiplication(codomain(A),B),B addition C) -> true
% 2.18/2.45  Current number of equations to process: 552
% 2.18/2.45  Current number of ordered equations: 1
% 2.18/2.45  Current number of rules: 274
% 2.18/2.45  New rule produced :
% 2.18/2.45  [285] leq(multiplication(coantidomain(A),B),B addition C) -> true
% 2.18/2.45  Current number of equations to process: 552
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 275
% 2.18/2.45  New rule produced :
% 2.18/2.45  [286] leq(multiplication(codomain(A),B) addition C,B addition C) -> true
% 2.18/2.45  Current number of equations to process: 582
% 2.18/2.45  Current number of ordered equations: 1
% 2.18/2.45  Current number of rules: 276
% 2.18/2.45  New rule produced :
% 2.18/2.45  [287] leq(multiplication(coantidomain(A),B) addition C,B addition C) -> true
% 2.18/2.45  Current number of equations to process: 582
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 277
% 2.18/2.45  New rule produced :
% 2.18/2.45  [288]
% 2.18/2.45  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C))))
% 2.18/2.45  -> zero
% 2.18/2.45  Current number of equations to process: 581
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 278
% 2.18/2.45  New rule produced :
% 2.18/2.45  [289]
% 2.18/2.45  multiplication(codomain(codomain(A)),B) addition multiplication(codomain(
% 2.18/2.45                                                                  coantidomain(A)),B)
% 2.18/2.45  -> B
% 2.18/2.45  Current number of equations to process: 580
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 279
% 2.18/2.45  New rule produced :
% 2.18/2.45  [290] coantidomain(multiplication(codomain(A),coantidomain(A))) -> one
% 2.18/2.45  Current number of equations to process: 579
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 280
% 2.18/2.45  New rule produced :
% 2.18/2.45  [291] coantidomain(multiplication(codomain(antidomain(A)),A)) -> one
% 2.18/2.45  Current number of equations to process: 578
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 281
% 2.18/2.45  New rule produced :
% 2.18/2.45  [292] antidomain(multiplication(A,domain(coantidomain(A)))) -> one
% 2.18/2.45  Current number of equations to process: 577
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 282
% 2.18/2.45  New rule produced :
% 2.18/2.45  [293] antidomain(multiplication(antidomain(A),domain(A))) -> one
% 2.18/2.45  Current number of equations to process: 576
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 283
% 2.18/2.45  New rule produced :
% 2.18/2.45  [294] ifeq(leq(domain(domain(A)),c(A)),true,one,c(A)) -> c(A)
% 2.18/2.45  Current number of equations to process: 575
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 284
% 2.18/2.45  New rule produced :
% 2.18/2.45  [295]
% 2.18/2.45  ifeq(leq(codomain(coantidomain(A)),codomain(A)),true,one,codomain(A)) ->
% 2.18/2.45  codomain(A)
% 2.18/2.45  Current number of equations to process: 574
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 285
% 2.18/2.45  New rule produced :
% 2.18/2.45  [296]
% 2.18/2.45  codomain(multiplication(multiplication(backward_diamond(A,B),C),X0)) ->
% 2.18/2.45  backward_diamond(multiplication(C,X0),multiplication(codomain(B),A))
% 2.18/2.45  Current number of equations to process: 573
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 286
% 2.18/2.45  New rule produced :
% 2.18/2.45  [297]
% 2.18/2.45  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 2.18/2.45  multiplication(codomain(B),A)) -> codomain(zero)
% 2.18/2.45  Current number of equations to process: 572
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 287
% 2.18/2.45  New rule produced :
% 2.18/2.45  [298]
% 2.18/2.45  domain(multiplication(A,multiplication(B,forward_diamond(C,X0)))) ->
% 2.18/2.45  forward_diamond(multiplication(A,B),multiplication(C,domain(X0)))
% 2.18/2.45  Current number of equations to process: 571
% 2.18/2.45  Current number of ordered equations: 0
% 2.18/2.45  Current number of rules: 288
% 2.18/2.45  New rule produced :
% 2.18/2.45  [299]
% 2.18/2.45  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 2.18/2.45                                                                     domain(C)))
% 2.18/2.45  -> c(one)
% 2.18/2.45  Current number of equations to process: 570
% 2.18/2.45  Current number of ordered equations: 0
% 2.28/2.50  Current number of rules: 289
% 2.28/2.50  New rule produced :
% 2.28/2.50  [300]
% 2.28/2.50  backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 2.28/2.50                                                                codomain(B),A)),C)),B)
% 2.28/2.50  -> codomain(zero)
% 2.28/2.50  Current number of equations to process: 568
% 2.28/2.50  Current number of ordered equations: 0
% 2.28/2.50  Current number of rules: 290
% 2.28/2.50  New rule produced :
% 2.28/2.50  [301]
% 2.28/2.50  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 2.28/2.50                                                             domain(C)))),B),C)
% 2.28/2.50  -> c(one)
% 2.28/2.50  Current number of equations to process: 566
% 2.28/2.50  Current number of ordered equations: 0
% 2.28/2.50  Current number of rules: 291
% 2.28/2.50  New rule produced :
% 2.28/2.50  [302]
% 2.28/2.50  domain(A) addition multiplication(antidomain(A),domain(B)) <->
% 2.28/2.50  domain(B) addition multiplication(domain(A),antidomain(B))
% 2.28/2.50  Current number of equations to process: 562
% 2.28/2.50  Current number of ordered equations: 5
% 2.28/2.50  Current number of rules: 292
% 2.28/2.50  New rule produced :
% 2.28/2.50  [303]
% 2.28/2.50  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 2.28/2.50  antidomain(B) addition multiplication(domain(A),domain(B))
% 2.28/2.50  Current number of equations to process: 562
% 2.28/2.50  Current number of ordered equations: 4
% 2.28/2.50  Current number of rules: 293
% 2.28/2.50  New rule produced :
% 2.28/2.50  [304]
% 2.28/2.50  antidomain(A) addition multiplication(domain(A),antidomain(B)) <->
% 2.28/2.50  antidomain(B) addition multiplication(antidomain(A),domain(B))
% 2.28/2.50  Current number of equations to process: 562
% 2.28/2.50  Current number of ordered equations: 3
% 2.28/2.50  Current number of rules: 294
% 2.28/2.50  New rule produced :
% 2.28/2.50  [305]
% 2.28/2.50  domain(B) addition multiplication(domain(A),antidomain(B)) <->
% 2.28/2.50  domain(A) addition multiplication(antidomain(A),domain(B))
% 2.28/2.50  Current number of equations to process: 562
% 2.28/2.50  Current number of ordered equations: 2
% 2.28/2.50  Current number of rules: 295
% 2.28/2.50  New rule produced :
% 2.28/2.50  [306]
% 2.28/2.50  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 2.28/2.50  antidomain(A) addition multiplication(domain(A),domain(B))
% 2.28/2.50  Current number of equations to process: 562
% 2.28/2.50  Current number of ordered equations: 1
% 2.28/2.50  Current number of rules: 296
% 2.28/2.50  New rule produced :
% 2.28/2.50  [307]
% 2.28/2.50  antidomain(B) addition multiplication(antidomain(A),domain(B)) <->
% 2.28/2.50  antidomain(A) addition multiplication(domain(A),antidomain(B))
% 2.28/2.50  Current number of equations to process: 562
% 2.28/2.50  Current number of ordered equations: 0
% 2.28/2.50  Current number of rules: 297
% 2.28/2.50  New rule produced :
% 2.28/2.50  [308]
% 2.28/2.50  domain(A) addition multiplication(antidomain(A),codomain(B)) <->
% 2.28/2.50  codomain(B) addition multiplication(domain(A),coantidomain(B))
% 2.28/2.50  Current number of equations to process: 558
% 2.28/2.50  Current number of ordered equations: 5
% 2.28/2.50  Current number of rules: 298
% 2.28/2.50  New rule produced :
% 2.28/2.50  [309]
% 2.28/2.50  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 2.28/2.50  coantidomain(B) addition multiplication(domain(A),codomain(B))
% 2.28/2.50  Current number of equations to process: 558
% 2.28/2.50  Current number of ordered equations: 4
% 2.28/2.50  Current number of rules: 299
% 2.28/2.50  New rule produced :
% 2.28/2.50  [310]
% 2.28/2.50  antidomain(A) addition multiplication(domain(A),coantidomain(B)) <->
% 2.28/2.50  coantidomain(B) addition multiplication(antidomain(A),codomain(B))
% 2.28/2.50  Current number of equations to process: 558
% 2.28/2.50  Current number of ordered equations: 3
% 2.28/2.50  Current number of rules: 300
% 2.28/2.50  New rule produced :
% 2.28/2.50  [311]
% 2.28/2.50  codomain(B) addition multiplication(domain(A),coantidomain(B)) <->
% 2.28/2.50  domain(A) addition multiplication(antidomain(A),codomain(B))
% 2.28/2.50  Current number of equations to process: 558
% 2.28/2.50  Current number of ordered equations: 2
% 2.28/2.50  Current number of rules: 301
% 2.28/2.50  New rule produced :
% 2.28/2.50  [312]
% 2.28/2.50  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 2.28/2.50  antidomain(A) addition multiplication(domain(A),codomain(B))
% 2.28/2.50  Current number of equations to process: 558
% 2.28/2.50  Current number of ordered equations: 1
% 2.28/2.50  Current number of rules: 302
% 2.28/2.50  New rule produced :
% 2.28/2.50  [313]
% 2.28/2.50  coantidomain(B) addition multiplication(antidomain(A),codomain(B)) <->
% 2.28/2.50  antidomain(A) addition multiplication(domain(A),coantidomain(B))
% 2.28/2.50  Current number of equations to process: 558
% 2.28/2.50  Current number of ordered equations: 0
% 2.28/2.50  Current number of rules: 303
% 2.28/2.50  New rule produced :
% 2.28/2.50  [314]
% 2.28/2.50  codomain(A) addition multiplication(coantidomain(A),domain(B)) <->
% 2.28/2.50  domain(B) addition multiplication(codomain(A),antidomain(B))
% 2.28/2.50  Current number of equations to process: 554
% 2.28/2.50  Current number of ordered equations: 5
% 2.28/2.50  Current number of rules: 304
% 2.30/2.60  New rule produced :
% 2.30/2.60  [315]
% 2.30/2.60  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 2.30/2.60  antidomain(B) addition multiplication(codomain(A),domain(B))
% 2.30/2.60  Current number of equations to process: 554
% 2.30/2.60  Current number of ordered equations: 4
% 2.30/2.60  Current number of rules: 305
% 2.30/2.60  New rule produced :
% 2.30/2.60  [316]
% 2.30/2.60  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) <->
% 2.30/2.60  antidomain(B) addition multiplication(coantidomain(A),domain(B))
% 2.30/2.60  Current number of equations to process: 554
% 2.30/2.60  Current number of ordered equations: 3
% 2.30/2.60  Current number of rules: 306
% 2.30/2.60  New rule produced :
% 2.30/2.60  [317]
% 2.30/2.60  domain(B) addition multiplication(codomain(A),antidomain(B)) <->
% 2.30/2.60  codomain(A) addition multiplication(coantidomain(A),domain(B))
% 2.30/2.60  Current number of equations to process: 554
% 2.30/2.60  Current number of ordered equations: 2
% 2.30/2.60  Current number of rules: 307
% 2.30/2.60  New rule produced :
% 2.30/2.60  [318]
% 2.30/2.60  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 2.30/2.60  coantidomain(A) addition multiplication(codomain(A),domain(B))
% 2.30/2.60  Current number of equations to process: 554
% 2.30/2.60  Current number of ordered equations: 1
% 2.30/2.60  Current number of rules: 308
% 2.30/2.60  New rule produced :
% 2.30/2.60  [319]
% 2.30/2.60  antidomain(B) addition multiplication(coantidomain(A),domain(B)) <->
% 2.30/2.60  coantidomain(A) addition multiplication(codomain(A),antidomain(B))
% 2.30/2.60  Current number of equations to process: 554
% 2.30/2.60  Current number of ordered equations: 0
% 2.30/2.60  Current number of rules: 309
% 2.30/2.60  New rule produced :
% 2.30/2.60  [320]
% 2.30/2.60  codomain(A) addition multiplication(coantidomain(A),codomain(B)) <->
% 2.30/2.60  codomain(B) addition multiplication(codomain(A),coantidomain(B))
% 2.30/2.60  Current number of equations to process: 550
% 2.30/2.60  Current number of ordered equations: 5
% 2.30/2.60  Current number of rules: 310
% 2.30/2.60  New rule produced :
% 2.30/2.60  [321]
% 2.30/2.60  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 2.30/2.60  coantidomain(B) addition multiplication(codomain(A),codomain(B))
% 2.30/2.60  Current number of equations to process: 550
% 2.30/2.60  Current number of ordered equations: 4
% 2.30/2.60  Current number of rules: 311
% 2.30/2.60  New rule produced :
% 2.30/2.60  [322]
% 2.30/2.60  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) <->
% 2.30/2.60  coantidomain(B) addition multiplication(coantidomain(A),codomain(B))
% 2.30/2.60  Current number of equations to process: 550
% 2.30/2.60  Current number of ordered equations: 3
% 2.30/2.60  Current number of rules: 312
% 2.30/2.60  New rule produced :
% 2.30/2.60  [323]
% 2.30/2.60  codomain(B) addition multiplication(codomain(A),coantidomain(B)) <->
% 2.30/2.60  codomain(A) addition multiplication(coantidomain(A),codomain(B))
% 2.30/2.60  Current number of equations to process: 550
% 2.30/2.60  Current number of ordered equations: 2
% 2.30/2.60  Current number of rules: 313
% 2.30/2.60  New rule produced :
% 2.30/2.60  [324]
% 2.30/2.60  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 2.30/2.60  coantidomain(A) addition multiplication(codomain(A),codomain(B))
% 2.30/2.60  Current number of equations to process: 550
% 2.30/2.60  Current number of ordered equations: 1
% 2.30/2.60  Current number of rules: 314
% 2.30/2.60  New rule produced :
% 2.30/2.60  [325]
% 2.30/2.60  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) <->
% 2.30/2.60  coantidomain(A) addition multiplication(codomain(A),coantidomain(B))
% 2.30/2.60  Current number of equations to process: 550
% 2.30/2.60  Current number of ordered equations: 0
% 2.30/2.60  Current number of rules: 315
% 2.30/2.60  New rule produced :
% 2.30/2.60  [326]
% 2.30/2.60  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(B),C))
% 2.30/2.60  -> zero
% 2.30/2.60  Current number of equations to process: 566
% 2.30/2.60  Current number of ordered equations: 0
% 2.30/2.60  Current number of rules: 316
% 2.30/2.60  New rule produced :
% 2.30/2.60  [327]
% 2.30/2.60  multiplication(multiplication(A,domain(B)),multiplication(antidomain(B),C))
% 2.30/2.60  -> zero
% 2.30/2.60  Current number of equations to process: 565
% 2.30/2.60  Current number of ordered equations: 0
% 2.30/2.60  Current number of rules: 317
% 2.30/2.60  New rule produced :
% 2.30/2.60  [328]
% 2.30/2.60  multiplication(multiplication(A,c(B)),multiplication(domain(B),C)) -> zero
% 2.30/2.60  Current number of equations to process: 564
% 2.30/2.60  Current number of ordered equations: 0
% 2.30/2.60  Current number of rules: 318
% 2.30/2.60  New rule produced :
% 2.30/2.60  [329]
% 2.30/2.60  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(C),X0))
% 2.30/2.60  -> zero
% 2.30/2.60  Current number of equations to process: 587
% 2.30/2.60  Current number of ordered equations: 0
% 2.30/2.60  Current number of rules: 319
% 2.30/2.60  New rule produced :
% 2.30/2.60  [330]
% 2.30/2.60  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(C,X0))
% 2.30/2.60  -> zero
% 2.30/2.60  Current number of equations to process: 586
% 2.30/2.60  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 320
% 2.91/3.13  New rule produced :
% 2.91/3.13  [331]
% 2.91/3.13  multiplication(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),X0))
% 2.91/3.13  -> zero
% 2.91/3.13  Current number of equations to process: 585
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 321
% 2.91/3.13  New rule produced :
% 2.91/3.13  [332]
% 2.91/3.13  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(B,C))
% 2.91/3.13  -> zero
% 2.91/3.13  Current number of equations to process: 583
% 2.91/3.13  Current number of ordered equations: 1
% 2.91/3.13  Current number of rules: 322
% 2.91/3.13  New rule produced :
% 2.91/3.13  [333]
% 2.91/3.13  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(B,C),X0))
% 2.91/3.13  -> zero
% 2.91/3.13  Current number of equations to process: 583
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 323
% 2.91/3.13  New rule produced :
% 2.91/3.13  [334] ifeq2(one addition A,one,leq(domain(B) addition A,one),true) -> true
% 2.91/3.13  Current number of equations to process: 1104
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 324
% 2.91/3.13  New rule produced :
% 2.91/3.13  [335] ifeq(leq(domain(A) addition B,one),true,one addition B,one) -> one
% 2.91/3.13  Current number of equations to process: 1101
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 325
% 2.91/3.13  New rule produced :
% 2.91/3.13  [336]
% 2.91/3.13  ifeq2(one addition A,one,leq(antidomain(B) addition A,one),true) -> true
% 2.91/3.13  Current number of equations to process: 1100
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 326
% 2.91/3.13  New rule produced :
% 2.91/3.13  [337] ifeq(leq(antidomain(A) addition B,one),true,one addition B,one) -> one
% 2.91/3.13  Current number of equations to process: 1097
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 327
% 2.91/3.13  New rule produced :
% 2.91/3.13  [338] ifeq2(one addition A,one,leq(codomain(B) addition A,one),true) -> true
% 2.91/3.13  Current number of equations to process: 1096
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 328
% 2.91/3.13  New rule produced :
% 2.91/3.13  [339] ifeq(leq(codomain(A) addition B,one),true,one addition B,one) -> one
% 2.91/3.13  Current number of equations to process: 1093
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 329
% 2.91/3.13  New rule produced :
% 2.91/3.13  [340]
% 2.91/3.13  ifeq2(one addition A,one,leq(coantidomain(B) addition A,one),true) -> true
% 2.91/3.13  Current number of equations to process: 1092
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 330
% 2.91/3.13  New rule produced :
% 2.91/3.13  [341]
% 2.91/3.13  ifeq(leq(coantidomain(A) addition B,one),true,one addition B,one) -> one
% 2.91/3.13  Current number of equations to process: 1089
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 331
% 2.91/3.13  New rule produced :
% 2.91/3.13  [342] ifeq2(one,domain(domain(A)),leq(c(A),domain(domain(A))),true) -> true
% 2.91/3.13  Current number of equations to process: 1088
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 332
% 2.91/3.13  New rule produced :
% 2.91/3.13  [343]
% 2.91/3.13  ifeq2(one,codomain(coantidomain(A)),leq(codomain(A),codomain(coantidomain(A))),true)
% 2.91/3.13  -> true
% 2.91/3.13  Current number of equations to process: 1087
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 333
% 2.91/3.13  New rule produced :
% 2.91/3.13  [344]
% 2.91/3.13  coantidomain(multiplication(codomain(multiplication(antidomain(sK4_goals_X2),
% 2.91/3.13                                       domain(sK3_goals_X3))),sK5_goals_X1)) addition 
% 2.91/3.13  domain(sK2_goals_X4) -> one
% 2.91/3.13  Current number of equations to process: 1086
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 334
% 2.91/3.13  New rule produced :
% 2.91/3.13  [345]
% 2.91/3.13  coantidomain(multiplication(codomain(multiplication(domain(sK4_goals_X2),
% 2.91/3.13                                       domain(sK3_goals_X3))),sK1_goals_X0)) addition 
% 2.91/3.13  domain(sK2_goals_X4) -> one
% 2.91/3.13  Current number of equations to process: 1085
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 335
% 2.91/3.13  New rule produced :
% 2.91/3.13  [346]
% 2.91/3.13  codomain(multiplication(multiplication(multiplication(codomain(A),B),C),X0))
% 2.91/3.13  -> backward_diamond(multiplication(multiplication(B,C),X0),A)
% 2.91/3.13  Current number of equations to process: 1083
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 336
% 2.91/3.13  New rule produced :
% 2.91/3.13  [347]
% 2.91/3.13  domain(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 2.91/3.13  forward_diamond(multiplication(A,multiplication(B,C)),X0)
% 2.91/3.13  Current number of equations to process: 1081
% 2.91/3.13  Current number of ordered equations: 0
% 2.91/3.13  Current number of rules: 337
% 2.91/3.13  New rule produced :
% 2.91/3.18  [348]
% 2.91/3.18  leq(multiplication(A,domain(B)) addition C,A addition C addition X0) -> true
% 2.91/3.18  Current number of equations to process: 1079
% 2.91/3.18  Current number of ordered equations: 1
% 2.91/3.18  Current number of rules: 338
% 2.91/3.18  New rule produced :
% 2.91/3.18  [349]
% 2.91/3.18  leq(multiplication(A,antidomain(B)) addition C,A addition C addition X0) ->
% 2.91/3.18  true
% 2.91/3.18  Current number of equations to process: 1079
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 339
% 2.91/3.18  New rule produced :
% 2.91/3.18  [350]
% 2.91/3.18  leq(multiplication(A,codomain(B)) addition C,A addition C addition X0) ->
% 2.91/3.18  true
% 2.91/3.18  Current number of equations to process: 1077
% 2.91/3.18  Current number of ordered equations: 1
% 2.91/3.18  Current number of rules: 340
% 2.91/3.18  New rule produced :
% 2.91/3.18  [351]
% 2.91/3.18  leq(multiplication(A,coantidomain(B)) addition C,A addition C addition X0) ->
% 2.91/3.18  true
% 2.91/3.18  Current number of equations to process: 1077
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 341
% 2.91/3.18  New rule produced :
% 2.91/3.18  [352]
% 2.91/3.18  leq(multiplication(domain(A),B) addition C,B addition C addition X0) -> true
% 2.91/3.18  Current number of equations to process: 1075
% 2.91/3.18  Current number of ordered equations: 1
% 2.91/3.18  Current number of rules: 342
% 2.91/3.18  New rule produced :
% 2.91/3.18  [353]
% 2.91/3.18  leq(multiplication(antidomain(A),B) addition C,B addition C addition X0) ->
% 2.91/3.18  true
% 2.91/3.18  Current number of equations to process: 1075
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 343
% 2.91/3.18  New rule produced :
% 2.91/3.18  [354]
% 2.91/3.18  leq(multiplication(codomain(A),B) addition C,B addition C addition X0) ->
% 2.91/3.18  true
% 2.91/3.18  Current number of equations to process: 1073
% 2.91/3.18  Current number of ordered equations: 1
% 2.91/3.18  Current number of rules: 344
% 2.91/3.18  New rule produced :
% 2.91/3.18  [355]
% 2.91/3.18  leq(multiplication(coantidomain(A),B) addition C,B addition C addition X0) ->
% 2.91/3.18  true
% 2.91/3.18  Current number of equations to process: 1073
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 345
% 2.91/3.18  New rule produced :
% 2.91/3.18  [356]
% 2.91/3.18  multiplication(antidomain(multiplication(multiplication(A,B),C)),multiplication(A,
% 2.91/3.18                                                                   multiplication(B,C)))
% 2.91/3.18  -> zero
% 2.91/3.18  Current number of equations to process: 1072
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 346
% 2.91/3.18  New rule produced :
% 2.91/3.18  [357]
% 2.91/3.18  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 2.91/3.18                                                                     multiplication(B,C)),X0)))
% 2.91/3.18  -> zero
% 2.91/3.18  Current number of equations to process: 1071
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 347
% 2.91/3.18  New rule produced :
% 2.91/3.18  [358]
% 2.91/3.18  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 2.91/3.18                                                       coantidomain(multiplication(C,X0))))
% 2.91/3.18  -> zero
% 2.91/3.18  Current number of equations to process: 1070
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 348
% 2.91/3.18  New rule produced :
% 2.91/3.18  [359]
% 2.91/3.18  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(
% 2.91/3.18                                                                  multiplication(B,C),X0)))
% 2.91/3.18  -> zero
% 2.91/3.18  Current number of equations to process: 1069
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 349
% 2.91/3.18  New rule produced :
% 2.91/3.18  [360]
% 2.91/3.18  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(A,
% 2.91/3.18                                                                    multiplication(B,C))))
% 2.91/3.18  -> zero
% 2.91/3.18  Current number of equations to process: 1068
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 350
% 2.91/3.18  New rule produced :
% 2.91/3.18  [361]
% 2.91/3.18  multiplication(multiplication(multiplication(A,antidomain(multiplication(B,C))),B),
% 2.91/3.18  multiplication(C,X0)) -> zero
% 2.91/3.18  Current number of equations to process: 1067
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 351
% 2.91/3.18  New rule produced :
% 2.91/3.18  [362]
% 2.91/3.18  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 2.91/3.18  coantidomain(multiplication(C,X0))) -> zero
% 2.91/3.18  Current number of equations to process: 1066
% 2.91/3.18  Current number of ordered equations: 0
% 2.91/3.18  Current number of rules: 352
% 2.91/3.18  New rule produced :
% 2.91/3.18  [363]
% 2.91/3.18  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(
% 2.91/3.18                                                                   multiplication(B,C),X0))
% 2.91/3.18  -> zero
% 2.91/3.18  Current number of equations to process: 1065
% 2.91/3.18  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 353
% 3.91/4.14  New rule produced :
% 3.91/4.14  [364]
% 3.91/4.14  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 3.91/4.14                                                                      multiplication(B,C)),X0))
% 3.91/4.14  -> zero
% 3.91/4.14  Current number of equations to process: 1062
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 354
% 3.91/4.14  New rule produced :
% 3.91/4.14  [365]
% 3.91/4.14  multiplication(multiplication(A,antidomain(multiplication(B,C))),multiplication(B,
% 3.91/4.14                                                                   multiplication(C,X0)))
% 3.91/4.14  -> zero
% 3.91/4.14  Current number of equations to process: 1058
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 355
% 3.91/4.14  New rule produced : [366] ifeq2(one,c(A),leq(one,c(A)),true) -> true
% 3.91/4.14  Current number of equations to process: 1088
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 356
% 3.91/4.14  New rule produced :
% 3.91/4.14  [367]
% 3.91/4.14  ifeq2(one,forward_diamond(A,B),leq(one,forward_diamond(A,B)),true) -> true
% 3.91/4.14  Current number of equations to process: 1153
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 357
% 3.91/4.14  New rule produced :
% 3.91/4.14  [368]
% 3.91/4.14  ifeq2(one,backward_diamond(A,B),leq(one,backward_diamond(A,B)),true) -> true
% 3.91/4.14  Current number of equations to process: 1152
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 358
% 3.91/4.14  New rule produced : [369] ifeq(leq(one,c(A)),true,one,c(A)) -> c(A)
% 3.91/4.14  Current number of equations to process: 1187
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 359
% 3.91/4.14  New rule produced :
% 3.91/4.14  [370]
% 3.91/4.14  codomain(codomain(A) addition multiplication(codomain(A),B)) ->
% 3.91/4.14  backward_diamond(one addition B,A)
% 3.91/4.14  Current number of equations to process: 1237
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 360
% 3.91/4.14  New rule produced :
% 3.91/4.14  [371]
% 3.91/4.14  ifeq(leq(one,forward_diamond(A,B)),true,one,forward_diamond(A,B)) ->
% 3.91/4.14  forward_diamond(A,B)
% 3.91/4.14  Current number of equations to process: 1237
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 361
% 3.91/4.14  New rule produced :
% 3.91/4.14  [372]
% 3.91/4.14  ifeq(leq(one,backward_diamond(A,B)),true,one,backward_diamond(A,B)) ->
% 3.91/4.14  backward_diamond(A,B)
% 3.91/4.14  Current number of equations to process: 1236
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 362
% 3.91/4.14  New rule produced :
% 3.91/4.14  [373]
% 3.91/4.14  c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 3.91/4.14  antidomain(forward_diamond(A addition C,B))
% 3.91/4.14  Current number of equations to process: 1235
% 3.91/4.14  Current number of ordered equations: 1
% 3.91/4.14  Current number of rules: 363
% 3.91/4.14  New rule produced :
% 3.91/4.14  [374]
% 3.91/4.14  antidomain(forward_diamond(A addition C,B)) <->
% 3.91/4.14  c(multiplication(A,domain(B)) addition multiplication(C,domain(B)))
% 3.91/4.14  Current number of equations to process: 1235
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 364
% 3.91/4.14  New rule produced :
% 3.91/4.14  [375]
% 3.91/4.14  c(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 3.91/4.14  antidomain(forward_diamond(multiplication(A,multiplication(B,C)),X0))
% 3.91/4.14  Current number of equations to process: 1234
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 365
% 3.91/4.14  New rule produced :
% 3.91/4.14  [376]
% 3.91/4.14  domain(domain(A) addition multiplication(B,domain(A))) ->
% 3.91/4.14  forward_diamond(one addition B,A)
% 3.91/4.14  Current number of equations to process: 1282
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 366
% 3.91/4.14  New rule produced :
% 3.91/4.14  [377] forward_diamond(c(B) addition A,B) -> forward_diamond(A,B)
% 3.91/4.14  Current number of equations to process: 1286
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 367
% 3.91/4.14  New rule produced :
% 3.91/4.14  [378]
% 3.91/4.14  domain(multiplication(A,c(B)) addition multiplication(C,c(B))) <->
% 3.91/4.14  forward_diamond(A addition C,antidomain(B))
% 3.91/4.14  Current number of equations to process: 1315
% 3.91/4.14  Current number of ordered equations: 1
% 3.91/4.14  Current number of rules: 368
% 3.91/4.14  New rule produced :
% 3.91/4.14  [379]
% 3.91/4.14  forward_diamond(A addition C,antidomain(B)) <->
% 3.91/4.14  domain(multiplication(A,c(B)) addition multiplication(C,c(B)))
% 3.91/4.14  Current number of equations to process: 1315
% 3.91/4.14  Current number of ordered equations: 0
% 3.91/4.14  Current number of rules: 369
% 3.91/4.14  New rule produced : [380] multiplication(antidomain(A addition B),A) -> zero
% 3.91/4.14  Rule
% 3.91/4.14  [102]
% 3.91/4.14  multiplication(antidomain(A addition B),A) addition multiplication(antidomain(
% 3.91/4.14                                                                     A addition B),B)
% 4.40/4.62  -> zero collapsed.
% 4.40/4.62  Current number of equations to process: 1336
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 369
% 4.40/4.62  New rule produced :
% 4.40/4.62  [381] multiplication(A,coantidomain(A addition B)) -> zero
% 4.40/4.62  Rule
% 4.40/4.62  [103]
% 4.40/4.62  multiplication(A,coantidomain(A addition B)) addition multiplication(B,
% 4.40/4.62                                                        coantidomain(A addition B))
% 4.40/4.62  -> zero collapsed.
% 4.40/4.62  Current number of equations to process: 1340
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 369
% 4.40/4.62  New rule produced :
% 4.40/4.62  [382] codomain(codomain(A)) addition codomain(A) -> codomain(codomain(A))
% 4.40/4.62  Current number of equations to process: 1341
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 370
% 4.40/4.62  New rule produced :
% 4.40/4.62  [383] leq(coantidomain(A),codomain(coantidomain(A))) -> true
% 4.40/4.62  Current number of equations to process: 1348
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 371
% 4.40/4.62  New rule produced :
% 4.40/4.62  [384] leq(coantidomain(A),codomain(coantidomain(A)) addition B) -> true
% 4.40/4.62  Current number of equations to process: 1355
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 372
% 4.40/4.62  New rule produced :
% 4.40/4.62  [385]
% 4.40/4.62  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B) -> true
% 4.40/4.62  Current number of equations to process: 1397
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 373
% 4.40/4.62  New rule produced :
% 4.40/4.62  [386]
% 4.40/4.62  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(
% 4.40/4.62                                                                     codomain(A)),B))
% 4.40/4.62  -> one
% 4.40/4.62  Current number of equations to process: 1398
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 374
% 4.40/4.62  New rule produced :
% 4.40/4.62  [387]
% 4.40/4.62  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 4.40/4.62                                                       coantidomain(B)) ->
% 4.40/4.62  multiplication(A,codomain(coantidomain(B)))
% 4.40/4.62  Current number of equations to process: 1474
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 375
% 4.40/4.62  New rule produced :
% 4.40/4.62  [388]
% 4.40/4.62  multiplication(codomain(coantidomain(A)),B) addition multiplication(coantidomain(A),B)
% 4.40/4.62  -> multiplication(codomain(coantidomain(A)),B)
% 4.40/4.62  Current number of equations to process: 1473
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 376
% 4.40/4.62  New rule produced :
% 4.40/4.62  [389]
% 4.40/4.62  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B addition C)
% 4.40/4.62  -> true
% 4.40/4.62  Current number of equations to process: 1472
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 377
% 4.40/4.62  New rule produced :
% 4.40/4.62  [390]
% 4.40/4.62  backward_diamond(multiplication(A,B),C) addition coantidomain(multiplication(
% 4.40/4.62                                                                backward_diamond(A,C),B))
% 4.40/4.62  -> one
% 4.40/4.62  Current number of equations to process: 1471
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 378
% 4.40/4.62  New rule produced :
% 4.40/4.62  [391]
% 4.40/4.62  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(
% 4.40/4.62                                                                    codomain(A)),B)))
% 4.40/4.62  -> true
% 4.40/4.62  Current number of equations to process: 1472
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 379
% 4.40/4.62  New rule produced :
% 4.40/4.62  [392] domain(domain(A)) addition domain(A) -> domain(domain(A))
% 4.40/4.62  Current number of equations to process: 1491
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 380
% 4.40/4.62  New rule produced : [393] c(domain(A)) addition c(A) -> c(domain(A))
% 4.40/4.62  Current number of equations to process: 1490
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 381
% 4.40/4.62  New rule produced : [394] leq(antidomain(A),c(A)) -> true
% 4.40/4.62  Current number of equations to process: 1497
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 382
% 4.40/4.62  New rule produced : [395] leq(antidomain(A),c(A) addition B) -> true
% 4.40/4.62  Current number of equations to process: 1496
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 383
% 4.40/4.62  New rule produced : [396] c(c(A)) addition domain(domain(A)) -> c(c(A))
% 4.40/4.62  Current number of equations to process: 1513
% 4.40/4.62  Current number of ordered equations: 0
% 4.40/4.62  Current number of rules: 384
% 4.40/4.62  New rule produced :
% 4.40/4.62  [397] leq(antidomain(A) addition B,c(A) addition B) -> true
% 4.67/4.89  Current number of equations to process: 1530
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 385
% 4.67/4.89  New rule produced :
% 4.67/4.89  [398]
% 4.67/4.89  multiplication(A,c(B)) addition multiplication(A,antidomain(B)) ->
% 4.67/4.89  multiplication(A,c(B))
% 4.67/4.89  Current number of equations to process: 1553
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 386
% 4.67/4.89  New rule produced :
% 4.67/4.89  [399]
% 4.67/4.89  multiplication(c(A),B) addition multiplication(antidomain(A),B) ->
% 4.67/4.89  multiplication(c(A),B)
% 4.67/4.89  Current number of equations to process: 1552
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 387
% 4.67/4.89  New rule produced :
% 4.67/4.89  [400] ifeq2(c(A),antidomain(A),leq(c(A),antidomain(A)),true) -> true
% 4.67/4.89  Current number of equations to process: 1551
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 388
% 4.67/4.89  New rule produced :
% 4.67/4.89  [401] leq(antidomain(A) addition B,c(A) addition B addition C) -> true
% 4.67/4.89  Current number of equations to process: 1549
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 389
% 4.67/4.89  New rule produced :
% 4.67/4.89  [402] ifeq(leq(c(A),antidomain(A)),true,c(A),antidomain(A)) -> antidomain(A)
% 4.67/4.89  Current number of equations to process: 1547
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 390
% 4.67/4.89  New rule produced :
% 4.67/4.89  [403]
% 4.67/4.89  antidomain(forward_diamond(A,B)) addition antidomain(multiplication(A,
% 4.67/4.89                                                       domain(B))) ->
% 4.67/4.89  antidomain(forward_diamond(A,B))
% 4.67/4.89  Current number of equations to process: 1546
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 391
% 4.67/4.89  New rule produced :
% 4.67/4.89  [404]
% 4.67/4.89  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(
% 4.67/4.89                                                                   domain(B))))
% 4.67/4.89  -> one
% 4.67/4.89  Current number of equations to process: 1604
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 392
% 4.67/4.89  New rule produced :
% 4.67/4.89  [405]
% 4.67/4.89  domain(multiplication(A,antidomain(B))) addition antidomain(multiplication(A,
% 4.67/4.89                                                              c(B))) -> one
% 4.67/4.89  Current number of equations to process: 1603
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 393
% 4.67/4.89  New rule produced :
% 4.67/4.89  [406]
% 4.67/4.89  leq(antidomain(multiplication(A,antidomain(B))),antidomain(multiplication(A,
% 4.67/4.89                                                             c(B)))) -> true
% 4.67/4.89  Current number of equations to process: 1625
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 394
% 4.67/4.89  New rule produced :
% 4.67/4.89  [407]
% 4.67/4.89  forward_diamond(multiplication(A,B),C) addition antidomain(multiplication(A,
% 4.67/4.89                                                             forward_diamond(B,C)))
% 4.67/4.89  -> one
% 4.67/4.89  Current number of equations to process: 1624
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 395
% 4.67/4.89  New rule produced :
% 4.67/4.89  [408]
% 4.67/4.89  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(
% 4.67/4.89                                                                  domain(B)))))
% 4.67/4.89  -> true
% 4.67/4.89  Current number of equations to process: 1642
% 4.67/4.89  Current number of ordered equations: 0
% 4.67/4.89  Current number of rules: 396
% 4.67/4.89  Rule [300]
% 4.67/4.89       backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 4.67/4.89                                                                     codomain(B),A)),C)),B)
% 4.67/4.89       -> codomain(zero) is composed into [300]
% 4.67/4.89                                          backward_diamond(multiplication(A,
% 4.67/4.89                                                           multiplication(
% 4.67/4.89                                                           coantidomain(
% 4.67/4.89                                                           multiplication(
% 4.67/4.89                                                           codomain(B),A)),C)),B)
% 4.67/4.89                                          -> zero
% 4.67/4.89  Rule [297]
% 4.67/4.89       backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 4.67/4.89       multiplication(codomain(B),A)) -> codomain(zero) is composed into 
% 4.67/4.89  [297]
% 4.67/4.89  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 4.67/4.89  multiplication(codomain(B),A)) -> zero
% 4.67/4.89  Rule [240]
% 4.67/4.89       backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 4.67/4.89       -> codomain(zero) is composed into [240]
% 4.71/4.93                                          backward_diamond(multiplication(A,
% 4.71/4.93                                                           coantidomain(
% 4.71/4.93                                                           multiplication(
% 4.71/4.93                                                           codomain(B),A))),B)
% 4.71/4.93                                          -> zero
% 4.71/4.93  Rule [201]
% 4.71/4.93       backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 4.71/4.93                                                            codomain(B),A)) ->
% 4.71/4.93       codomain(zero) is composed into [201]
% 4.71/4.93                                       backward_diamond(coantidomain(backward_diamond(A,B)),
% 4.71/4.93                                       multiplication(codomain(B),A)) -> zero
% 4.71/4.93  Rule [173]
% 4.71/4.93       backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) ->
% 4.71/4.93       codomain(zero) is composed into [173]
% 4.71/4.93                                       backward_diamond(codomain(codomain(
% 4.71/4.93                                                                 coantidomain(A))),
% 4.71/4.93                                       codomain(A)) -> zero
% 4.71/4.93  Rule [170]
% 4.71/4.93       backward_diamond(codomain(codomain(A)),coantidomain(A)) ->
% 4.71/4.93       codomain(zero) is composed into [170]
% 4.71/4.93                                       backward_diamond(codomain(codomain(A)),
% 4.71/4.93                                       coantidomain(A)) -> zero
% 4.71/4.93  Rule [48] backward_diamond(codomain(coantidomain(A)),A) -> codomain(zero) is composed into 
% 4.71/4.93  [48] backward_diamond(codomain(coantidomain(A)),A) -> zero
% 4.71/4.93  Rule [35] backward_diamond(zero,A) -> codomain(zero) is composed into 
% 4.71/4.93  [35] backward_diamond(zero,A) -> zero
% 4.71/4.93  New rule produced : [409] codomain(zero) -> zero
% 4.71/4.93  Rule [172] backward_diamond(codomain(zero),one) -> codomain(zero) collapsed.
% 4.71/4.93  Rule [202] coantidomain(multiplication(codomain(zero),A)) -> one collapsed.
% 4.71/4.93  Current number of equations to process: 1642
% 4.71/4.93  Current number of ordered equations: 0
% 4.71/4.93  Current number of rules: 395
% 4.71/4.93  New rule produced : [410] backward_diamond(A,one) -> codomain(A)
% 4.71/4.93  Current number of equations to process: 1642
% 4.71/4.93  Current number of ordered equations: 0
% 4.71/4.93  Current number of rules: 396
% 4.71/4.93  Rule [301]
% 4.71/4.93       forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 4.71/4.93                                                                  domain(C)))),B),C)
% 4.71/4.93       -> c(one) is composed into [301]
% 4.71/4.93                                  forward_diamond(multiplication(multiplication(A,
% 4.71/4.93                                                                 antidomain(
% 4.71/4.93                                                                 multiplication(B,
% 4.71/4.93                                                                 domain(C)))),B),C)
% 4.71/4.93                                  -> zero
% 4.71/4.93  Rule [299]
% 4.71/4.93       forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),
% 4.71/4.93       multiplication(B,domain(C))) -> c(one) is composed into [299]
% 4.71/4.93                                                               forward_diamond(
% 4.71/4.93                                                               multiplication(A,
% 4.71/4.93                                                               antidomain(
% 4.71/4.93                                                               forward_diamond(B,C))),
% 4.71/4.93                                                               multiplication(B,
% 4.71/4.93                                                               domain(C))) ->
% 4.71/4.93                                                               zero
% 4.71/4.93  Rule [244] forward_diamond(multiplication(A,c(B)),B) -> c(one) is composed into 
% 4.71/4.93  [244] forward_diamond(multiplication(A,c(B)),B) -> zero
% 4.71/4.93  Rule [242]
% 4.71/4.93       forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 4.71/4.93       -> c(one) is composed into [242]
% 4.71/4.93                                  forward_diamond(multiplication(antidomain(
% 4.71/4.93                                                                 multiplication(A,
% 4.71/4.93                                                                 domain(B))),A),B)
% 4.71/4.93                                  -> zero
% 4.71/4.93  Rule [214]
% 4.71/4.93       forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,
% 4.71/4.93                                                        domain(B))) -> 
% 4.71/4.93       c(one) is composed into [214]
% 4.71/4.93                               forward_diamond(antidomain(forward_diamond(A,B)),
% 4.80/5.08                               multiplication(A,domain(B))) -> zero
% 4.80/5.08  Rule [166] forward_diamond(c(A),A) -> c(one) is composed into [166]
% 4.80/5.08                                                                forward_diamond(
% 4.80/5.08                                                                c(A),A) -> zero
% 4.80/5.08  Rule [127] domain(zero) -> c(one) is composed into [127] domain(zero) -> zero
% 4.80/5.08  Rule [36] forward_diamond(zero,A) -> c(one) is composed into [36]
% 4.80/5.08                                                               forward_diamond(zero,A)
% 4.80/5.08                                                               -> zero
% 4.80/5.08  New rule produced : [411] c(one) -> zero
% 4.80/5.08  Rule [203] antidomain(multiplication(A,c(one))) -> one collapsed.
% 4.80/5.08  Current number of equations to process: 1642
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 396
% 4.80/5.08  New rule produced : [412] forward_diamond(A,one) -> domain(A)
% 4.80/5.08  Current number of equations to process: 1642
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 397
% 4.80/5.08  New rule produced : [413] multiplication(c(c(A)),c(domain(A))) -> zero
% 4.80/5.08  Current number of equations to process: 1651
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 398
% 4.80/5.08  New rule produced : [414] c(c(A)) addition c(domain(A)) -> one
% 4.80/5.08  Current number of equations to process: 1650
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 399
% 4.80/5.08  New rule produced : [415] c(c(A)) addition c(domain(domain(A))) -> one
% 4.80/5.08  Current number of equations to process: 1653
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 400
% 4.80/5.08  New rule produced : [416] forward_diamond(A,zero) -> zero
% 4.80/5.08  Current number of equations to process: 1672
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 401
% 4.80/5.08  New rule produced :
% 4.80/5.08  [417]
% 4.80/5.08  coantidomain(multiplication(codomain(codomain(A)),codomain(coantidomain(A))))
% 4.80/5.08  -> one
% 4.80/5.08  Current number of equations to process: 1675
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 402
% 4.80/5.08  New rule produced :
% 4.80/5.08  [418] backward_diamond(multiplication(codomain(coantidomain(A)),B),A) -> zero
% 4.80/5.08  Current number of equations to process: 1678
% 4.80/5.08  Current number of ordered equations: 0
% 4.80/5.08  Current number of rules: 403
% 4.80/5.08  Rule [37] coantidomain(codomain(A)) -> codomain(coantidomain(A)) is composed into 
% 4.80/5.08  [37] coantidomain(codomain(A)) -> coantidomain(A)
% 4.80/5.08  New rule produced : [419] codomain(coantidomain(A)) -> coantidomain(A)
% 4.80/5.08  Rule [48] backward_diamond(codomain(coantidomain(A)),A) -> zero collapsed.
% 4.80/5.08  Rule [51] codomain(coantidomain(A)) addition codomain(A) -> one collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [104]
% 4.80/5.08  codomain(coantidomain(A)) addition coantidomain(A) ->
% 4.80/5.08  codomain(coantidomain(A)) collapsed.
% 4.80/5.08  Rule [128] multiplication(codomain(A),codomain(coantidomain(A))) -> zero
% 4.80/5.08  collapsed.
% 4.80/5.08  Rule [129] codomain(codomain(A)) addition codomain(coantidomain(A)) -> one
% 4.80/5.08  collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [130]
% 4.80/5.08  codomain(coantidomain(multiplication(codomain(B),A))) ->
% 4.80/5.08  coantidomain(backward_diamond(A,B)) collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [159]
% 4.80/5.08  coantidomain(multiplication(codomain(coantidomain(A)),codomain(A))) -> one
% 4.80/5.08  collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [161] multiplication(codomain(coantidomain(A)),codomain(codomain(A))) -> zero
% 4.80/5.08  collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [173]
% 4.80/5.08  backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) -> zero
% 4.80/5.08  collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [183]
% 4.80/5.08  codomain(codomain(coantidomain(A))) addition codomain(codomain(A)) -> one
% 4.80/5.08  collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [190]
% 4.80/5.08  multiplication(multiplication(A,codomain(B)),codomain(coantidomain(B))) ->
% 4.80/5.08  zero collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [197]
% 4.80/5.08  multiplication(codomain(A),multiplication(codomain(coantidomain(A)),B)) ->
% 4.80/5.08  zero collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [208]
% 4.80/5.08  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 4.80/5.08                                                       codomain(B)) -> A
% 4.80/5.08  collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [209]
% 4.80/5.08  multiplication(codomain(coantidomain(B)),A) addition multiplication(codomain(B),A)
% 4.80/5.08  -> A collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [215]
% 4.80/5.08  codomain(coantidomain(multiplication(backward_diamond(C,B),A))) ->
% 4.80/5.08  coantidomain(backward_diamond(A,multiplication(codomain(B),C))) collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [229]
% 4.80/5.08  ifeq2(one,codomain(A),leq(codomain(coantidomain(A)),codomain(A)),true) ->
% 4.80/5.08  true collapsed.
% 4.80/5.08  Rule
% 4.80/5.08  [243]
% 4.80/5.08  codomain(coantidomain(multiplication(multiplication(codomain(C),A),B))) ->
% 4.87/5.15  coantidomain(backward_diamond(multiplication(A,B),C)) collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [270]
% 4.87/5.15  multiplication(A,codomain(codomain(B))) addition multiplication(A,codomain(
% 4.87/5.15                                                                    coantidomain(B)))
% 4.87/5.15  -> A collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [289]
% 4.87/5.15  multiplication(codomain(codomain(A)),B) addition multiplication(codomain(
% 4.87/5.15                                                                  coantidomain(A)),B)
% 4.87/5.15  -> B collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [295]
% 4.87/5.15  ifeq(leq(codomain(coantidomain(A)),codomain(A)),true,one,codomain(A)) ->
% 4.87/5.15  codomain(A) collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [343]
% 4.87/5.15  ifeq2(one,codomain(coantidomain(A)),leq(codomain(A),codomain(coantidomain(A))),true)
% 4.87/5.15  -> true collapsed.
% 4.87/5.15  Rule [383] leq(coantidomain(A),codomain(coantidomain(A))) -> true collapsed.
% 4.87/5.15  Rule [384] leq(coantidomain(A),codomain(coantidomain(A)) addition B) -> true
% 4.87/5.15  collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [385]
% 4.87/5.15  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B) -> true
% 4.87/5.15  collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [387]
% 4.87/5.15  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 4.87/5.15                                                       coantidomain(B)) ->
% 4.87/5.15  multiplication(A,codomain(coantidomain(B))) collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [388]
% 4.87/5.15  multiplication(codomain(coantidomain(A)),B) addition multiplication(coantidomain(A),B)
% 4.87/5.15  -> multiplication(codomain(coantidomain(A)),B) collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [389]
% 4.87/5.15  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B addition C)
% 4.87/5.15  -> true collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [417]
% 4.87/5.15  coantidomain(multiplication(codomain(codomain(A)),codomain(coantidomain(A))))
% 4.87/5.15  -> one collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [418] backward_diamond(multiplication(codomain(coantidomain(A)),B),A) -> zero
% 4.87/5.15  collapsed.
% 4.87/5.15  Current number of equations to process: 1693
% 4.87/5.15  Current number of ordered equations: 0
% 4.87/5.15  Current number of rules: 375
% 4.87/5.15  New rule produced : [420] backward_diamond(coantidomain(A),A) -> zero
% 4.87/5.15  Current number of equations to process: 1692
% 4.87/5.15  Current number of ordered equations: 0
% 4.87/5.15  Current number of rules: 376
% 4.87/5.15  New rule produced : [421] multiplication(codomain(A),coantidomain(A)) -> zero
% 4.87/5.15  Rule [290] coantidomain(multiplication(codomain(A),coantidomain(A))) -> one
% 4.87/5.15  collapsed.
% 4.87/5.15  Current number of equations to process: 1691
% 4.87/5.15  Current number of ordered equations: 0
% 4.87/5.15  Current number of rules: 376
% 4.87/5.15  New rule produced :
% 4.87/5.15  [422] backward_diamond(coantidomain(A),codomain(A)) -> zero
% 4.87/5.15  Current number of equations to process: 1690
% 4.87/5.15  Current number of ordered equations: 0
% 4.87/5.15  Current number of rules: 377
% 4.87/5.15  New rule produced :
% 4.87/5.15  [423] multiplication(coantidomain(A),codomain(codomain(A))) -> zero
% 4.87/5.15  Current number of equations to process: 1689
% 4.87/5.15  Current number of ordered equations: 0
% 4.87/5.15  Current number of rules: 378
% 4.87/5.15  New rule produced :
% 4.87/5.15  [424] codomain(codomain(A)) addition coantidomain(A) -> one
% 4.87/5.15  Current number of equations to process: 1688
% 4.87/5.15  Current number of ordered equations: 0
% 4.87/5.15  Current number of rules: 379
% 4.87/5.15  New rule produced :
% 4.87/5.15  [425] backward_diamond(multiplication(coantidomain(A),B),A) -> zero
% 4.87/5.15  Current number of equations to process: 1687
% 4.87/5.15  Current number of ordered equations: 0
% 4.87/5.15  Current number of rules: 380
% 4.87/5.15  New rule produced :
% 4.87/5.15  [426]
% 4.87/5.15  coantidomain(multiplication(codomain(B),A)) ->
% 4.87/5.15  coantidomain(backward_diamond(A,B))
% 4.87/5.15  Rule
% 4.87/5.15  [30]
% 4.87/5.15  coantidomain(multiplication(codomain(X0),X1)) addition coantidomain(multiplication(X0,X1))
% 4.87/5.15  -> coantidomain(multiplication(codomain(X0),X1)) collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [65]
% 4.87/5.15  backward_diamond(A,B) addition coantidomain(multiplication(codomain(B),A)) ->
% 4.87/5.15  one collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [107]
% 4.87/5.15  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(A),B))
% 4.87/5.15  -> one collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [108]
% 4.87/5.15  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)))
% 4.87/5.15  -> true collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [111]
% 4.87/5.15  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)) addition C)
% 4.87/5.15  -> true collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [158]
% 4.87/5.15  multiplication(coantidomain(multiplication(codomain(A),B)),backward_diamond(B,A))
% 4.87/5.15  -> zero collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [165] coantidomain(multiplication(codomain(domain(A)),antidomain(A))) -> one
% 4.87/5.15  collapsed.
% 4.87/5.15  Rule [169] coantidomain(multiplication(codomain(c(A)),domain(A))) -> one
% 4.87/5.15  collapsed.
% 4.87/5.15  Rule
% 4.87/5.15  [188]
% 4.87/5.15  coantidomain(multiplication(codomain(multiplication(A,B)),coantidomain(B)))
% 4.87/5.15  -> one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [192]
% 5.00/5.21  coantidomain(multiplication(codomain(multiplication(A,antidomain(B))),B)) ->
% 5.00/5.21  one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [195]
% 5.00/5.21  coantidomain(multiplication(codomain(A),multiplication(coantidomain(A),B)))
% 5.00/5.21  -> one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [198]
% 5.00/5.21  coantidomain(multiplication(codomain(antidomain(A)),multiplication(A,B))) ->
% 5.00/5.21  one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [236]
% 5.00/5.21  backward_diamond(A,B) addition coantidomain(multiplication(codomain(codomain(B)),A))
% 5.00/5.21  -> one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [240]
% 5.00/5.21  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 5.00/5.21  -> zero collapsed.
% 5.00/5.21  Rule [291] coantidomain(multiplication(codomain(antidomain(A)),A)) -> one
% 5.00/5.21  collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [300]
% 5.00/5.21  backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 5.00/5.21                                                                codomain(B),A)),C)),B)
% 5.00/5.21  -> zero collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [344]
% 5.00/5.21  coantidomain(multiplication(codomain(multiplication(antidomain(sK4_goals_X2),
% 5.00/5.21                                       domain(sK3_goals_X3))),sK5_goals_X1)) addition 
% 5.00/5.21  domain(sK2_goals_X4) -> one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [345]
% 5.00/5.21  coantidomain(multiplication(codomain(multiplication(domain(sK4_goals_X2),
% 5.00/5.21                                       domain(sK3_goals_X3))),sK1_goals_X0)) addition 
% 5.00/5.21  domain(sK2_goals_X4) -> one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [386]
% 5.00/5.21  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(
% 5.00/5.21                                                                     codomain(A)),B))
% 5.00/5.21  -> one collapsed.
% 5.00/5.21  Rule
% 5.00/5.21  [391]
% 5.00/5.21  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(
% 5.00/5.21                                                                    codomain(A)),B)))
% 5.00/5.21  -> true collapsed.
% 5.00/5.21  Current number of equations to process: 1704
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 361
% 5.00/5.21  New rule produced :
% 5.00/5.21  [427]
% 5.00/5.21  coantidomain(backward_diamond(X1,X0)) addition coantidomain(multiplication(X0,X1))
% 5.00/5.21  -> coantidomain(backward_diamond(X1,X0))
% 5.00/5.21  Current number of equations to process: 1703
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 362
% 5.00/5.21  New rule produced :
% 5.00/5.21  [428] coantidomain(backward_diamond(A,antidomain(A))) -> one
% 5.00/5.21  Current number of equations to process: 1702
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 363
% 5.00/5.21  New rule produced :
% 5.00/5.21  [429] coantidomain(backward_diamond(antidomain(A),domain(A))) -> one
% 5.00/5.21  Current number of equations to process: 1701
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 364
% 5.00/5.21  New rule produced :
% 5.00/5.21  [430] coantidomain(backward_diamond(domain(A),c(A))) -> one
% 5.00/5.21  Current number of equations to process: 1700
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 365
% 5.00/5.21  New rule produced :
% 5.00/5.21  [431]
% 5.00/5.21  coantidomain(backward_diamond(coantidomain(B),multiplication(A,B))) -> one
% 5.00/5.21  Current number of equations to process: 1698
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 366
% 5.00/5.21  New rule produced :
% 5.00/5.21  [432] multiplication(multiplication(A,codomain(B)),coantidomain(B)) -> zero
% 5.00/5.21  Current number of equations to process: 1697
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 367
% 5.00/5.21  New rule produced :
% 5.00/5.21  [433]
% 5.00/5.21  coantidomain(backward_diamond(B,multiplication(A,antidomain(B)))) -> one
% 5.00/5.21  Current number of equations to process: 1696
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 368
% 5.00/5.21  New rule produced :
% 5.00/5.21  [434] multiplication(codomain(A),multiplication(coantidomain(A),B)) -> zero
% 5.00/5.21  Current number of equations to process: 1695
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 369
% 5.00/5.21  New rule produced :
% 5.00/5.21  [435]
% 5.00/5.21  coantidomain(backward_diamond(multiplication(A,B),antidomain(A))) -> one
% 5.00/5.21  Current number of equations to process: 1694
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 370
% 5.00/5.21  New rule produced :
% 5.00/5.21  [436]
% 5.00/5.21  multiplication(coantidomain(backward_diamond(B,A)),backward_diamond(B,A)) ->
% 5.00/5.21  zero
% 5.00/5.21  Current number of equations to process: 1692
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 371
% 5.00/5.21  New rule produced :
% 5.00/5.21  [437]
% 5.00/5.21  backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),B) ->
% 5.00/5.21  zero
% 5.00/5.21  Current number of equations to process: 1691
% 5.00/5.21  Current number of ordered equations: 0
% 5.00/5.21  Current number of rules: 372
% 5.33/5.57  New rule produced :
% 5.33/5.57  [438] antidomain(multiplication(codomain(A),domain(coantidomain(A)))) -> one
% 5.33/5.57  Current number of equations to process: 1690
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 373
% 5.33/5.57  New rule produced :
% 5.33/5.57  [439] multiplication(codomain(codomain(A)),coantidomain(A)) -> zero
% 5.33/5.57  Current number of equations to process: 1689
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 374
% 5.33/5.57  New rule produced :
% 5.33/5.57  [440]
% 5.33/5.57  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,A)) ->
% 5.33/5.57  one
% 5.33/5.57  Current number of equations to process: 1688
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 375
% 5.33/5.57  New rule produced :
% 5.33/5.57  [441]
% 5.33/5.57  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A))) ->
% 5.33/5.57  true
% 5.33/5.57  Current number of equations to process: 1687
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 376
% 5.33/5.57  New rule produced :
% 5.33/5.57  [442]
% 5.33/5.57  backward_diamond(A,B) addition coantidomain(backward_diamond(A,codomain(B)))
% 5.33/5.57  -> one
% 5.33/5.57  Current number of equations to process: 1686
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 377
% 5.33/5.57  New rule produced :
% 5.33/5.57  [443]
% 5.33/5.57  coantidomain(multiplication(backward_diamond(C,B),A)) ->
% 5.33/5.57  coantidomain(backward_diamond(A,multiplication(codomain(B),C)))
% 5.33/5.57  Rule
% 5.33/5.57  [390]
% 5.33/5.57  backward_diamond(multiplication(A,B),C) addition coantidomain(multiplication(
% 5.33/5.57                                                                backward_diamond(A,C),B))
% 5.33/5.57  -> one collapsed.
% 5.33/5.57  Current number of equations to process: 1686
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 377
% 5.33/5.57  New rule produced :
% 5.33/5.57  [444]
% 5.33/5.57  coantidomain(multiplication(multiplication(codomain(C),A),B)) ->
% 5.33/5.57  coantidomain(backward_diamond(multiplication(A,B),C))
% 5.33/5.57  Current number of equations to process: 1685
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 378
% 5.33/5.57  New rule produced :
% 5.33/5.57  [445] forward_diamond(domain(domain(A)),antidomain(A)) -> zero
% 5.33/5.57  Current number of equations to process: 1688
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 379
% 5.33/5.57  New rule produced :
% 5.33/5.57  [446] multiplication(c(domain(domain(A))),c(c(A))) -> zero
% 5.33/5.57  Current number of equations to process: 1688
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 380
% 5.33/5.57  New rule produced :
% 5.33/5.57  [447] multiplication(A,forward_diamond(B,C)) addition A -> A
% 5.33/5.57  Current number of equations to process: 1710
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 381
% 5.33/5.57  New rule produced :
% 5.33/5.57  [448] multiplication(forward_diamond(B,C),A) addition A -> A
% 5.33/5.57  Current number of equations to process: 1709
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 382
% 5.33/5.57  New rule produced :
% 5.33/5.57  [449] one addition multiplication(antidomain(A),domain(B)) -> one
% 5.33/5.57  Current number of equations to process: 1723
% 5.33/5.57  Current number of ordered equations: 1
% 5.33/5.57  Current number of rules: 383
% 5.33/5.57  New rule produced :
% 5.33/5.57  [450] one addition multiplication(domain(A),domain(B)) -> one
% 5.33/5.57  Current number of equations to process: 1723
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 384
% 5.33/5.57  New rule produced :
% 5.33/5.57  [451] one addition multiplication(coantidomain(A),domain(B)) -> one
% 5.33/5.57  Current number of equations to process: 1721
% 5.33/5.57  Current number of ordered equations: 1
% 5.33/5.57  Current number of rules: 385
% 5.33/5.57  New rule produced :
% 5.33/5.57  [452] one addition multiplication(codomain(A),domain(B)) -> one
% 5.33/5.57  Current number of equations to process: 1721
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 386
% 5.33/5.57  New rule produced : [453] multiplication(A,c(B)) addition A -> A
% 5.33/5.57  Current number of equations to process: 1747
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 387
% 5.33/5.57  New rule produced : [454] one addition multiplication(c(A),domain(B)) -> one
% 5.33/5.57  Current number of equations to process: 1746
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 388
% 5.33/5.57  New rule produced :
% 5.33/5.57  [455] one addition multiplication(forward_diamond(A,B),domain(C)) -> one
% 5.33/5.57  Current number of equations to process: 1779
% 5.33/5.57  Current number of ordered equations: 0
% 5.33/5.57  Current number of rules: 389
% 5.33/5.57  New rule produced :
% 5.33/5.57  [456] c(A) addition multiplication(antidomain(A),domain(B)) -> c(A)
% 5.33/5.57  Current number of equations to process: 1790
% 5.33/5.57  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 390
% 5.71/5.96  New rule produced :
% 5.71/5.96  [457] one addition multiplication(domain(A),antidomain(B)) -> one
% 5.71/5.96  Current number of equations to process: 1800
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 391
% 5.71/5.96  New rule produced :
% 5.71/5.96  [458] one addition multiplication(domain(A),coantidomain(B)) -> one
% 5.71/5.96  Current number of equations to process: 1798
% 5.71/5.96  Current number of ordered equations: 1
% 5.71/5.96  Current number of rules: 392
% 5.71/5.96  New rule produced :
% 5.71/5.96  [459] one addition multiplication(domain(A),codomain(B)) -> one
% 5.71/5.96  Current number of equations to process: 1798
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 393
% 5.71/5.96  New rule produced :
% 5.71/5.96  [460] multiplication(multiplication(A,domain(B)),domain(C)) addition A -> A
% 5.71/5.96  Current number of equations to process: 1817
% 5.71/5.96  Current number of ordered equations: 1
% 5.71/5.96  Current number of rules: 394
% 5.71/5.96  New rule produced :
% 5.71/5.96  [461]
% 5.71/5.96  multiplication(multiplication(A,antidomain(B)),domain(C)) addition A -> A
% 5.71/5.96  Current number of equations to process: 1817
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 395
% 5.71/5.96  New rule produced :
% 5.71/5.96  [462] multiplication(multiplication(A,codomain(B)),domain(C)) addition A -> A
% 5.71/5.96  Current number of equations to process: 1815
% 5.71/5.96  Current number of ordered equations: 1
% 5.71/5.96  Current number of rules: 396
% 5.71/5.96  New rule produced :
% 5.71/5.96  [463]
% 5.71/5.96  multiplication(multiplication(A,coantidomain(B)),domain(C)) addition A -> A
% 5.71/5.96  Current number of equations to process: 1815
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 397
% 5.71/5.96  New rule produced :
% 5.71/5.96  [464] multiplication(multiplication(domain(A),B),domain(C)) addition B -> B
% 5.71/5.96  Current number of equations to process: 1813
% 5.71/5.96  Current number of ordered equations: 1
% 5.71/5.96  Current number of rules: 398
% 5.71/5.96  New rule produced :
% 5.71/5.96  [465]
% 5.71/5.96  multiplication(multiplication(antidomain(A),B),domain(C)) addition B -> B
% 5.71/5.96  Current number of equations to process: 1813
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 399
% 5.71/5.96  New rule produced :
% 5.71/5.96  [466] multiplication(multiplication(codomain(A),B),domain(C)) addition B -> B
% 5.71/5.96  Current number of equations to process: 1811
% 5.71/5.96  Current number of ordered equations: 1
% 5.71/5.96  Current number of rules: 400
% 5.71/5.96  New rule produced :
% 5.71/5.96  [467]
% 5.71/5.96  multiplication(multiplication(coantidomain(A),B),domain(C)) addition B -> B
% 5.71/5.96  Current number of equations to process: 1811
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 401
% 5.71/5.96  New rule produced : [468] multiplication(c(A),B) addition B -> B
% 5.71/5.96  Current number of equations to process: 1815
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 402
% 5.71/5.96  New rule produced : [469] one addition multiplication(domain(A),c(B)) -> one
% 5.71/5.96  Current number of equations to process: 1814
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 403
% 5.71/5.96  New rule produced :
% 5.71/5.96  [470] one addition multiplication(domain(A),forward_diamond(B,C)) -> one
% 5.71/5.96  Current number of equations to process: 1847
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 404
% 5.71/5.96  New rule produced :
% 5.71/5.96  [471] c(A) addition multiplication(domain(B),antidomain(A)) -> c(A)
% 5.71/5.96  Current number of equations to process: 1858
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 405
% 5.71/5.96  New rule produced :
% 5.71/5.96  [472]
% 5.71/5.96  multiplication(domain(A),multiplication(B,antidomain(C))) addition B -> B
% 5.71/5.96  Current number of equations to process: 1877
% 5.71/5.96  Current number of ordered equations: 1
% 5.71/5.96  Current number of rules: 406
% 5.71/5.96  New rule produced :
% 5.71/5.96  [473] multiplication(domain(A),multiplication(B,domain(C))) addition B -> B
% 5.71/5.96  Current number of equations to process: 1877
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 407
% 5.71/5.96  New rule produced :
% 5.71/5.96  [474] multiplication(domain(A),multiplication(B,codomain(C))) addition B -> B
% 5.71/5.96  Current number of equations to process: 1875
% 5.71/5.96  Current number of ordered equations: 1
% 5.71/5.96  Current number of rules: 408
% 5.71/5.96  New rule produced :
% 5.71/5.96  [475]
% 5.71/5.96  multiplication(domain(A),multiplication(B,coantidomain(C))) addition B -> B
% 5.71/5.96  Current number of equations to process: 1875
% 5.71/5.96  Current number of ordered equations: 0
% 5.71/5.96  Current number of rules: 409
% 5.71/5.96  New rule produced :
% 5.71/5.96  [476] multiplication(domain(A),multiplication(domain(B),C)) addition C -> C
% 5.71/5.96  Current number of equations to process: 1873
% 5.71/5.96  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 410
% 6.16/6.39  New rule produced :
% 6.16/6.39  [477]
% 6.16/6.39  multiplication(domain(A),multiplication(antidomain(B),C)) addition C -> C
% 6.16/6.39  Current number of equations to process: 1873
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 411
% 6.16/6.39  New rule produced :
% 6.16/6.39  [478] multiplication(domain(A),multiplication(codomain(B),C)) addition C -> C
% 6.16/6.39  Current number of equations to process: 1871
% 6.16/6.39  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 412
% 6.16/6.39  New rule produced :
% 6.16/6.39  [479]
% 6.16/6.39  multiplication(domain(A),multiplication(coantidomain(B),C)) addition C -> C
% 6.16/6.39  Current number of equations to process: 1871
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 413
% 6.16/6.39  New rule produced :
% 6.16/6.39  [480] one addition multiplication(antidomain(A),antidomain(B)) -> one
% 6.16/6.39  Current number of equations to process: 1875
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 414
% 6.16/6.39  New rule produced :
% 6.16/6.39  [481] one addition multiplication(codomain(A),antidomain(B)) -> one
% 6.16/6.39  Current number of equations to process: 1873
% 6.16/6.39  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 415
% 6.16/6.39  New rule produced :
% 6.16/6.39  [482] one addition multiplication(coantidomain(A),antidomain(B)) -> one
% 6.16/6.39  Current number of equations to process: 1873
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 416
% 6.16/6.39  New rule produced :
% 6.16/6.39  [483] one addition multiplication(c(A),antidomain(B)) -> one
% 6.16/6.39  Current number of equations to process: 1897
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 417
% 6.16/6.39  New rule produced :
% 6.16/6.39  [484] one addition multiplication(forward_diamond(A,B),antidomain(C)) -> one
% 6.16/6.39  Current number of equations to process: 1930
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 418
% 6.16/6.39  New rule produced :
% 6.16/6.39  [485] c(A) addition multiplication(antidomain(A),antidomain(B)) -> c(A)
% 6.16/6.39  Current number of equations to process: 1941
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 419
% 6.16/6.39  New rule produced :
% 6.16/6.39  [486] one addition multiplication(antidomain(A),codomain(B)) -> one
% 6.16/6.39  Current number of equations to process: 1952
% 6.16/6.39  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 420
% 6.16/6.39  New rule produced :
% 6.16/6.39  [487] one addition multiplication(antidomain(A),coantidomain(B)) -> one
% 6.16/6.39  Current number of equations to process: 1952
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 421
% 6.16/6.39  New rule produced :
% 6.16/6.39  [488]
% 6.16/6.39  multiplication(multiplication(A,domain(B)),antidomain(C)) addition A -> A
% 6.16/6.39  Current number of equations to process: 1972
% 6.16/6.39  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 422
% 6.16/6.39  New rule produced :
% 6.16/6.39  [489]
% 6.16/6.39  multiplication(multiplication(A,antidomain(B)),antidomain(C)) addition A -> A
% 6.16/6.39  Current number of equations to process: 1972
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 423
% 6.16/6.39  New rule produced :
% 6.16/6.39  [490]
% 6.16/6.39  multiplication(multiplication(A,codomain(B)),antidomain(C)) addition A -> A
% 6.16/6.39  Current number of equations to process: 1970
% 6.16/6.39  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 424
% 6.16/6.39  New rule produced :
% 6.16/6.39  [491]
% 6.16/6.39  multiplication(multiplication(A,coantidomain(B)),antidomain(C)) addition A ->
% 6.16/6.39  A
% 6.16/6.39  Current number of equations to process: 1970
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 425
% 6.16/6.39  New rule produced :
% 6.16/6.39  [492]
% 6.16/6.39  multiplication(multiplication(domain(A),B),antidomain(C)) addition B -> B
% 6.16/6.39  Current number of equations to process: 1968
% 6.16/6.39  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 426
% 6.16/6.39  New rule produced :
% 6.16/6.39  [493]
% 6.16/6.39  multiplication(multiplication(antidomain(A),B),antidomain(C)) addition B -> B
% 6.16/6.39  Current number of equations to process: 1968
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 427
% 6.16/6.39  New rule produced :
% 6.16/6.39  [494]
% 6.16/6.39  multiplication(multiplication(codomain(A),B),antidomain(C)) addition B -> B
% 6.16/6.39  Current number of equations to process: 1966
% 6.16/6.39  Current number of ordered equations: 1
% 6.16/6.39  Current number of rules: 428
% 6.16/6.39  New rule produced :
% 6.16/6.39  [495]
% 6.16/6.39  multiplication(multiplication(coantidomain(A),B),antidomain(C)) addition B ->
% 6.16/6.39  B
% 6.16/6.39  Current number of equations to process: 1966
% 6.16/6.39  Current number of ordered equations: 0
% 6.16/6.39  Current number of rules: 429
% 6.16/6.39  New rule produced :
% 6.16/6.39  [496] one addition multiplication(antidomain(A),c(B)) -> one
% 6.68/6.90  Current number of equations to process: 1966
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 430
% 6.68/6.90  New rule produced :
% 6.68/6.90  [497] one addition multiplication(antidomain(A),forward_diamond(B,C)) -> one
% 6.68/6.90  Current number of equations to process: 1999
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 431
% 6.68/6.90  New rule produced :
% 6.68/6.90  [498] c(A) addition multiplication(antidomain(B),antidomain(A)) -> c(A)
% 6.68/6.90  Current number of equations to process: 2010
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 432
% 6.68/6.90  New rule produced :
% 6.68/6.90  [499] multiplication(A,backward_diamond(B,C)) addition A -> A
% 6.68/6.90  Current number of equations to process: 2035
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 433
% 6.68/6.90  New rule produced :
% 6.68/6.90  [500] multiplication(backward_diamond(B,C),A) addition A -> A
% 6.68/6.90  Current number of equations to process: 2034
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 434
% 6.68/6.90  New rule produced :
% 6.68/6.90  [501]
% 6.68/6.90  multiplication(antidomain(A),multiplication(B,antidomain(C))) addition B -> B
% 6.68/6.90  Current number of equations to process: 2032
% 6.68/6.90  Current number of ordered equations: 1
% 6.68/6.90  Current number of rules: 435
% 6.68/6.90  New rule produced :
% 6.68/6.90  [502]
% 6.68/6.90  multiplication(antidomain(A),multiplication(B,domain(C))) addition B -> B
% 6.68/6.90  Current number of equations to process: 2032
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 436
% 6.68/6.90  New rule produced :
% 6.68/6.90  [503]
% 6.68/6.90  multiplication(antidomain(A),multiplication(B,codomain(C))) addition B -> B
% 6.68/6.90  Current number of equations to process: 2030
% 6.68/6.90  Current number of ordered equations: 1
% 6.68/6.90  Current number of rules: 437
% 6.68/6.90  New rule produced :
% 6.68/6.90  [504]
% 6.68/6.90  multiplication(antidomain(A),multiplication(B,coantidomain(C))) addition B ->
% 6.68/6.90  B
% 6.68/6.90  Current number of equations to process: 2030
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 438
% 6.68/6.90  New rule produced :
% 6.68/6.90  [505]
% 6.68/6.90  multiplication(antidomain(A),multiplication(domain(B),C)) addition C -> C
% 6.68/6.90  Current number of equations to process: 2028
% 6.68/6.90  Current number of ordered equations: 1
% 6.68/6.90  Current number of rules: 439
% 6.68/6.90  New rule produced :
% 6.68/6.90  [506]
% 6.68/6.90  multiplication(antidomain(A),multiplication(antidomain(B),C)) addition C -> C
% 6.68/6.90  Current number of equations to process: 2028
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 440
% 6.68/6.90  New rule produced :
% 6.68/6.90  [507]
% 6.68/6.90  multiplication(antidomain(A),multiplication(codomain(B),C)) addition C -> C
% 6.68/6.90  Current number of equations to process: 2026
% 6.68/6.90  Current number of ordered equations: 1
% 6.68/6.90  Current number of rules: 441
% 6.68/6.90  New rule produced :
% 6.68/6.90  [508]
% 6.68/6.90  multiplication(antidomain(A),multiplication(coantidomain(B),C)) addition C ->
% 6.68/6.90  C
% 6.68/6.90  Current number of equations to process: 2026
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 442
% 6.68/6.90  New rule produced :
% 6.68/6.90  [509] one addition multiplication(backward_diamond(A,B),domain(C)) -> one
% 6.68/6.90  Current number of equations to process: 2034
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 443
% 6.68/6.90  New rule produced :
% 6.68/6.90  [510] one addition multiplication(domain(A),backward_diamond(B,C)) -> one
% 6.68/6.90  Current number of equations to process: 2033
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 444
% 6.68/6.90  New rule produced :
% 6.68/6.90  [511] one addition multiplication(backward_diamond(A,B),antidomain(C)) -> one
% 6.68/6.90  Current number of equations to process: 2032
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 445
% 6.68/6.90  New rule produced :
% 6.68/6.90  [512] one addition multiplication(antidomain(A),backward_diamond(B,C)) -> one
% 6.68/6.90  Current number of equations to process: 2031
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 446
% 6.68/6.90  New rule produced :
% 6.68/6.90  [513] one addition multiplication(coantidomain(A),codomain(B)) -> one
% 6.68/6.90  Current number of equations to process: 2035
% 6.68/6.90  Current number of ordered equations: 1
% 6.68/6.90  Current number of rules: 447
% 6.68/6.90  New rule produced :
% 6.68/6.90  [514] one addition multiplication(codomain(A),codomain(B)) -> one
% 6.68/6.90  Current number of equations to process: 2035
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 448
% 6.68/6.90  New rule produced :
% 6.68/6.90  [515] one addition multiplication(c(A),codomain(B)) -> one
% 6.68/6.90  Current number of equations to process: 2059
% 6.68/6.90  Current number of ordered equations: 0
% 6.68/6.90  Current number of rules: 449
% 7.27/7.52  New rule produced :
% 7.27/7.52  [516] one addition multiplication(forward_diamond(A,B),codomain(C)) -> one
% 7.27/7.52  Current number of equations to process: 2092
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 450
% 7.27/7.52  New rule produced :
% 7.27/7.52  [517] c(A) addition multiplication(antidomain(A),codomain(B)) -> c(A)
% 7.27/7.52  Current number of equations to process: 2103
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 451
% 7.27/7.52  New rule produced :
% 7.27/7.52  [518] one addition multiplication(codomain(A),coantidomain(B)) -> one
% 7.27/7.52  Current number of equations to process: 2119
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 452
% 7.27/7.52  New rule produced :
% 7.27/7.52  [519] one addition multiplication(backward_diamond(A,B),codomain(C)) -> one
% 7.27/7.52  Current number of equations to process: 2136
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 453
% 7.27/7.52  New rule produced :
% 7.27/7.52  [520] multiplication(multiplication(A,domain(B)),codomain(C)) addition A -> A
% 7.27/7.52  Current number of equations to process: 2138
% 7.27/7.52  Current number of ordered equations: 1
% 7.27/7.52  Current number of rules: 454
% 7.27/7.52  New rule produced :
% 7.27/7.52  [521]
% 7.27/7.52  multiplication(multiplication(A,antidomain(B)),codomain(C)) addition A -> A
% 7.27/7.52  Current number of equations to process: 2138
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 455
% 7.27/7.52  New rule produced :
% 7.27/7.52  [522]
% 7.27/7.52  multiplication(multiplication(A,codomain(B)),codomain(C)) addition A -> A
% 7.27/7.52  Current number of equations to process: 2136
% 7.27/7.52  Current number of ordered equations: 1
% 7.27/7.52  Current number of rules: 456
% 7.27/7.52  New rule produced :
% 7.27/7.52  [523]
% 7.27/7.52  multiplication(multiplication(A,coantidomain(B)),codomain(C)) addition A -> A
% 7.27/7.52  Current number of equations to process: 2136
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 457
% 7.27/7.52  New rule produced :
% 7.27/7.52  [524] multiplication(multiplication(domain(A),B),codomain(C)) addition B -> B
% 7.27/7.52  Current number of equations to process: 2134
% 7.27/7.52  Current number of ordered equations: 1
% 7.27/7.52  Current number of rules: 458
% 7.27/7.52  New rule produced :
% 7.27/7.52  [525]
% 7.27/7.52  multiplication(multiplication(antidomain(A),B),codomain(C)) addition B -> B
% 7.27/7.52  Current number of equations to process: 2134
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 459
% 7.27/7.52  New rule produced :
% 7.27/7.52  [526]
% 7.27/7.52  multiplication(multiplication(codomain(A),B),codomain(C)) addition B -> B
% 7.27/7.52  Current number of equations to process: 2132
% 7.27/7.52  Current number of ordered equations: 1
% 7.27/7.52  Current number of rules: 460
% 7.27/7.52  New rule produced :
% 7.27/7.52  [527]
% 7.27/7.52  multiplication(multiplication(coantidomain(A),B),codomain(C)) addition B -> B
% 7.27/7.52  Current number of equations to process: 2132
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 461
% 7.27/7.52  New rule produced :
% 7.27/7.52  [528] one addition multiplication(codomain(A),c(B)) -> one
% 7.27/7.52  Current number of equations to process: 2130
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 462
% 7.27/7.52  New rule produced :
% 7.27/7.52  [529] one addition multiplication(codomain(A),forward_diamond(B,C)) -> one
% 7.27/7.52  Current number of equations to process: 2163
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 463
% 7.27/7.52  New rule produced :
% 7.27/7.52  [530] c(A) addition multiplication(codomain(B),antidomain(A)) -> c(A)
% 7.27/7.52  Current number of equations to process: 2173
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 464
% 7.27/7.52  New rule produced :
% 7.27/7.52  [531] one addition multiplication(codomain(A),backward_diamond(B,C)) -> one
% 7.27/7.52  Current number of equations to process: 2188
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 465
% 7.27/7.52  New rule produced :
% 7.27/7.52  [532]
% 7.27/7.52  multiplication(codomain(A),multiplication(B,antidomain(C))) addition B -> B
% 7.27/7.52  Current number of equations to process: 2186
% 7.27/7.52  Current number of ordered equations: 1
% 7.27/7.52  Current number of rules: 466
% 7.27/7.52  New rule produced :
% 7.27/7.52  [533] multiplication(codomain(A),multiplication(B,domain(C))) addition B -> B
% 7.27/7.52  Current number of equations to process: 2186
% 7.27/7.52  Current number of ordered equations: 0
% 7.27/7.52  Current number of rules: 467
% 7.27/7.52  New rule produced :
% 7.27/7.52  [534]
% 7.27/7.52  multiplication(codomain(A),multiplication(B,codomain(C))) addition B -> B
% 7.27/7.52  Current number of equations to process: 2184
% 7.27/7.52  Current number of ordered equations: 1
% 7.27/7.52  Current number of rules: 468
% 7.27/7.52  New rule produced :
% 7.27/7.52  [535]
% 7.27/7.52  multiplication(codomain(A),multiplication(B,coantidomain(C))) addition B -> B
% 7.98/8.18  Current number of equations to process: 2184
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 469
% 7.98/8.18  New rule produced :
% 7.98/8.18  [536] multiplication(codomain(A),multiplication(domain(B),C)) addition C -> C
% 7.98/8.18  Current number of equations to process: 2182
% 7.98/8.18  Current number of ordered equations: 1
% 7.98/8.18  Current number of rules: 470
% 7.98/8.18  New rule produced :
% 7.98/8.18  [537]
% 7.98/8.18  multiplication(codomain(A),multiplication(antidomain(B),C)) addition C -> C
% 7.98/8.18  Current number of equations to process: 2182
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 471
% 7.98/8.18  New rule produced :
% 7.98/8.18  [538]
% 7.98/8.18  multiplication(codomain(A),multiplication(codomain(B),C)) addition C -> C
% 7.98/8.18  Current number of equations to process: 2180
% 7.98/8.18  Current number of ordered equations: 1
% 7.98/8.18  Current number of rules: 472
% 7.98/8.18  New rule produced :
% 7.98/8.18  [539]
% 7.98/8.18  multiplication(codomain(A),multiplication(coantidomain(B),C)) addition C -> C
% 7.98/8.18  Current number of equations to process: 2180
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 473
% 7.98/8.18  New rule produced :
% 7.98/8.18  [540] one addition multiplication(coantidomain(A),coantidomain(B)) -> one
% 7.98/8.18  Current number of equations to process: 2176
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 474
% 7.98/8.18  New rule produced :
% 7.98/8.18  [541] one addition multiplication(c(A),coantidomain(B)) -> one
% 7.98/8.18  Current number of equations to process: 2200
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 475
% 7.98/8.18  New rule produced :
% 7.98/8.18  [542]
% 7.98/8.18  one addition multiplication(forward_diamond(A,B),coantidomain(C)) -> one
% 7.98/8.18  Current number of equations to process: 2233
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 476
% 7.98/8.18  New rule produced :
% 7.98/8.18  [543] c(A) addition multiplication(antidomain(A),coantidomain(B)) -> c(A)
% 7.98/8.18  Current number of equations to process: 2244
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 477
% 7.98/8.18  New rule produced :
% 7.98/8.18  [544]
% 7.98/8.18  one addition multiplication(backward_diamond(A,B),coantidomain(C)) -> one
% 7.98/8.18  Current number of equations to process: 2280
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 478
% 7.98/8.18  New rule produced :
% 7.98/8.18  [545]
% 7.98/8.18  multiplication(multiplication(A,domain(B)),coantidomain(C)) addition A -> A
% 7.98/8.18  Current number of equations to process: 2282
% 7.98/8.18  Current number of ordered equations: 1
% 7.98/8.18  Current number of rules: 479
% 7.98/8.18  New rule produced :
% 7.98/8.18  [546]
% 7.98/8.18  multiplication(multiplication(A,antidomain(B)),coantidomain(C)) addition A ->
% 7.98/8.18  A
% 7.98/8.18  Current number of equations to process: 2282
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 480
% 7.98/8.18  New rule produced :
% 7.98/8.18  [547]
% 7.98/8.18  multiplication(multiplication(A,codomain(B)),coantidomain(C)) addition A -> A
% 7.98/8.18  Current number of equations to process: 2280
% 7.98/8.18  Current number of ordered equations: 1
% 7.98/8.18  Current number of rules: 481
% 7.98/8.18  New rule produced :
% 7.98/8.18  [548]
% 7.98/8.18  multiplication(multiplication(A,coantidomain(B)),coantidomain(C)) addition A
% 7.98/8.18  -> A
% 7.98/8.18  Current number of equations to process: 2280
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 482
% 7.98/8.18  New rule produced :
% 7.98/8.18  [549]
% 7.98/8.18  multiplication(multiplication(domain(A),B),coantidomain(C)) addition B -> B
% 7.98/8.18  Current number of equations to process: 2278
% 7.98/8.18  Current number of ordered equations: 1
% 7.98/8.18  Current number of rules: 483
% 7.98/8.18  New rule produced :
% 7.98/8.18  [550]
% 7.98/8.18  multiplication(multiplication(antidomain(A),B),coantidomain(C)) addition B ->
% 7.98/8.18  B
% 7.98/8.18  Current number of equations to process: 2278
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 484
% 7.98/8.18  New rule produced :
% 7.98/8.18  [551]
% 7.98/8.18  multiplication(multiplication(coantidomain(A),B),coantidomain(C)) addition B
% 7.98/8.18  -> B
% 7.98/8.18  Current number of equations to process: 2276
% 7.98/8.18  Current number of ordered equations: 1
% 7.98/8.18  Current number of rules: 485
% 7.98/8.18  New rule produced :
% 7.98/8.18  [552]
% 7.98/8.18  multiplication(multiplication(codomain(A),B),coantidomain(C)) addition B -> B
% 7.98/8.18  Current number of equations to process: 2276
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 486
% 7.98/8.18  New rule produced :
% 7.98/8.18  [553] one addition multiplication(coantidomain(A),c(B)) -> one
% 7.98/8.18  Current number of equations to process: 2272
% 7.98/8.18  Current number of ordered equations: 0
% 7.98/8.18  Current number of rules: 487
% 7.98/8.18  New rule produced :
% 7.98/8.18  [554]
% 7.98/8.18  one addition multiplication(coantidomain(A),forward_diamond(B,C)) -> one
% 7.98/8.18  Current number of equations to process: 2305
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 488
% 8.20/8.46  New rule produced :
% 8.20/8.46  [555] c(A) addition multiplication(coantidomain(B),antidomain(A)) -> c(A)
% 8.20/8.46  Current number of equations to process: 2315
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 489
% 8.20/8.46  New rule produced :
% 8.20/8.46  [556]
% 8.20/8.46  one addition multiplication(coantidomain(A),backward_diamond(B,C)) -> one
% 8.20/8.46  Current number of equations to process: 2334
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 490
% 8.20/8.46  New rule produced :
% 8.20/8.46  [557]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(B,antidomain(C))) addition B ->
% 8.20/8.46  B
% 8.20/8.46  Current number of equations to process: 2334
% 8.20/8.46  Current number of ordered equations: 1
% 8.20/8.46  Current number of rules: 491
% 8.20/8.46  New rule produced :
% 8.20/8.46  [558]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(B,domain(C))) addition B -> B
% 8.20/8.46  Current number of equations to process: 2334
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 492
% 8.20/8.46  New rule produced :
% 8.20/8.46  [559]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(B,coantidomain(C))) addition B
% 8.20/8.46  -> B
% 8.20/8.46  Current number of equations to process: 2332
% 8.20/8.46  Current number of ordered equations: 1
% 8.20/8.46  Current number of rules: 493
% 8.20/8.46  New rule produced :
% 8.20/8.46  [560]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(B,codomain(C))) addition B -> B
% 8.20/8.46  Current number of equations to process: 2332
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 494
% 8.20/8.46  New rule produced :
% 8.20/8.46  [561]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(domain(B),C)) addition C -> C
% 8.20/8.46  Current number of equations to process: 2330
% 8.20/8.46  Current number of ordered equations: 1
% 8.20/8.46  Current number of rules: 495
% 8.20/8.46  New rule produced :
% 8.20/8.46  [562]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(antidomain(B),C)) addition C ->
% 8.20/8.46  C
% 8.20/8.46  Current number of equations to process: 2330
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 496
% 8.20/8.46  New rule produced :
% 8.20/8.46  [563]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(codomain(B),C)) addition C -> C
% 8.20/8.46  Current number of equations to process: 2328
% 8.20/8.46  Current number of ordered equations: 1
% 8.20/8.46  Current number of rules: 497
% 8.20/8.46  New rule produced :
% 8.20/8.46  [564]
% 8.20/8.46  multiplication(coantidomain(A),multiplication(coantidomain(B),C)) addition C
% 8.20/8.46  -> C
% 8.20/8.46  Current number of equations to process: 2328
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 498
% 8.20/8.46  New rule produced :
% 8.20/8.46  [565]
% 8.20/8.46  backward_diamond(multiplication(A,multiplication(coantidomain(backward_diamond(A,B)),C)),B)
% 8.20/8.46  -> zero
% 8.20/8.46  Current number of equations to process: 2318
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 499
% 8.20/8.46  New rule produced :
% 8.20/8.46  [566]
% 8.20/8.46  multiplication(A,codomain(codomain(B))) addition multiplication(A,coantidomain(B))
% 8.20/8.46  -> A
% 8.20/8.46  Current number of equations to process: 2317
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 500
% 8.20/8.46  New rule produced :
% 8.20/8.46  [567]
% 8.20/8.46  multiplication(codomain(codomain(A)),B) addition multiplication(coantidomain(A),B)
% 8.20/8.46  -> B
% 8.20/8.46  Current number of equations to process: 2316
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 501
% 8.20/8.46  New rule produced :
% 8.20/8.46  [568]
% 8.20/8.46  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,
% 8.20/8.46                                                      codomain(A))) -> one
% 8.20/8.46  Current number of equations to process: 2315
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 502
% 8.20/8.46  New rule produced :
% 8.20/8.46  [569]
% 8.20/8.46  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,
% 8.20/8.46                                                     codomain(A)))) -> true
% 8.20/8.46  Current number of equations to process: 2314
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 503
% 8.20/8.46  New rule produced :
% 8.20/8.46  [570]
% 8.20/8.46  multiplication(forward_diamond(A,antidomain(B)),antidomain(multiplication(A,
% 8.20/8.46                                                             c(B)))) -> zero
% 8.20/8.46  Current number of equations to process: 2312
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 504
% 8.20/8.46  New rule produced :
% 8.20/8.46  [571]
% 8.20/8.46  domain(multiplication(A,antidomain(forward_diamond(B,C)))) ->
% 8.20/8.46  forward_diamond(A,antidomain(multiplication(B,domain(C))))
% 8.20/8.46  Current number of equations to process: 2311
% 8.20/8.46  Current number of ordered equations: 0
% 8.20/8.46  Current number of rules: 505
% 8.20/8.46  New rule produced :
% 8.20/8.46  [572]
% 8.20/8.46  multiplication(multiplication(A,domain(domain(B))),multiplication(c(B),C)) ->
% 8.33/8.52  zero
% 8.33/8.52  Current number of equations to process: 2308
% 8.33/8.52  Current number of ordered equations: 0
% 8.33/8.52  Current number of rules: 506
% 8.33/8.52  Rule [305]
% 8.33/8.52       domain(B) addition multiplication(domain(A),antidomain(B)) <->
% 8.33/8.52       domain(A) addition multiplication(antidomain(A),domain(B)) is composed into 
% 8.33/8.52  [305]
% 8.33/8.52  domain(B) addition multiplication(domain(A),antidomain(B)) ->
% 8.33/8.52  domain(A) addition domain(B)
% 8.33/8.52  New rule produced :
% 8.33/8.52  [573]
% 8.33/8.52  domain(A) addition multiplication(antidomain(A),domain(B)) ->
% 8.33/8.52  domain(A) addition domain(B)
% 8.33/8.52  Rule
% 8.33/8.52  [302]
% 8.33/8.52  domain(A) addition multiplication(antidomain(A),domain(B)) <->
% 8.33/8.52  domain(B) addition multiplication(domain(A),antidomain(B)) collapsed.
% 8.33/8.52  Current number of equations to process: 2301
% 8.33/8.52  Current number of ordered equations: 1
% 8.33/8.52  Current number of rules: 506
% 8.33/8.52  Rule [306]
% 8.33/8.52       domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 8.33/8.52       antidomain(A) addition multiplication(domain(A),domain(B)) is composed into 
% 8.33/8.52  [306]
% 8.33/8.52  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 8.33/8.52  domain(B) addition antidomain(A)
% 8.33/8.52  New rule produced :
% 8.33/8.52  [574]
% 8.33/8.52  antidomain(B) addition multiplication(domain(B),domain(A)) ->
% 8.33/8.52  domain(A) addition antidomain(B)
% 8.33/8.52  Current number of equations to process: 2301
% 8.33/8.52  Current number of ordered equations: 0
% 8.33/8.52  Current number of rules: 507
% 8.33/8.52  Rule [317]
% 8.33/8.52       domain(B) addition multiplication(codomain(A),antidomain(B)) <->
% 8.33/8.52       codomain(A) addition multiplication(coantidomain(A),domain(B)) is composed into 
% 8.33/8.52  [317]
% 8.33/8.52  domain(B) addition multiplication(codomain(A),antidomain(B)) ->
% 8.33/8.52  codomain(A) addition domain(B)
% 8.33/8.52  New rule produced :
% 8.33/8.52  [575]
% 8.33/8.52  codomain(A) addition multiplication(coantidomain(A),domain(B)) ->
% 8.33/8.52  codomain(A) addition domain(B)
% 8.33/8.52  Rule
% 8.33/8.52  [314]
% 8.33/8.52  codomain(A) addition multiplication(coantidomain(A),domain(B)) <->
% 8.33/8.52  domain(B) addition multiplication(codomain(A),antidomain(B)) collapsed.
% 8.33/8.52  Current number of equations to process: 2299
% 8.33/8.52  Current number of ordered equations: 1
% 8.33/8.52  Current number of rules: 507
% 8.33/8.52  Rule [318]
% 8.33/8.52       domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 8.33/8.52       coantidomain(A) addition multiplication(codomain(A),domain(B)) is composed into 
% 8.33/8.52  [318]
% 8.33/8.52  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 8.33/8.52  coantidomain(A) addition domain(B)
% 8.33/8.52  New rule produced :
% 8.33/8.52  [576]
% 8.33/8.52  coantidomain(A) addition multiplication(codomain(A),domain(B)) ->
% 8.33/8.52  coantidomain(A) addition domain(B)
% 8.33/8.52  Current number of equations to process: 2299
% 8.33/8.52  Current number of ordered equations: 0
% 8.33/8.52  Current number of rules: 508
% 8.33/8.52  Rule [303]
% 8.33/8.52       domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 8.33/8.52       antidomain(B) addition multiplication(domain(A),domain(B)) is composed into 
% 8.33/8.52  [303]
% 8.33/8.52  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 8.33/8.52  domain(A) addition antidomain(B)
% 8.33/8.52  New rule produced :
% 8.33/8.52  [577]
% 8.33/8.52  antidomain(B) addition multiplication(domain(A),domain(B)) ->
% 8.33/8.52  domain(A) addition antidomain(B)
% 8.33/8.52  Current number of equations to process: 2293
% 8.33/8.52  Current number of ordered equations: 0
% 8.33/8.52  Current number of rules: 509
% 8.33/8.52  Rule [308]
% 8.33/8.52       domain(A) addition multiplication(antidomain(A),codomain(B)) <->
% 8.33/8.52       codomain(B) addition multiplication(domain(A),coantidomain(B)) is composed into 
% 8.33/8.52  [308]
% 8.33/8.52  domain(A) addition multiplication(antidomain(A),codomain(B)) ->
% 8.33/8.52  codomain(B) addition domain(A)
% 8.33/8.52  New rule produced :
% 8.33/8.52  [578]
% 8.33/8.52  codomain(A) addition multiplication(domain(B),coantidomain(A)) ->
% 8.33/8.52  codomain(A) addition domain(B)
% 8.33/8.52  Rule
% 8.33/8.52  [311]
% 8.33/8.52  codomain(B) addition multiplication(domain(A),coantidomain(B)) <->
% 8.33/8.52  domain(A) addition multiplication(antidomain(A),codomain(B)) collapsed.
% 8.33/8.52  Current number of equations to process: 2291
% 8.33/8.52  Current number of ordered equations: 1
% 8.33/8.52  Current number of rules: 509
% 8.33/8.52  Rule [309]
% 8.33/8.52       domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 8.33/8.52       coantidomain(B) addition multiplication(domain(A),codomain(B)) is composed into 
% 8.33/8.52  [309]
% 8.33/8.52  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 8.33/8.52  coantidomain(B) addition domain(A)
% 8.33/8.52  New rule produced :
% 8.33/8.52  [579]
% 8.33/8.52  coantidomain(A) addition multiplication(domain(B),codomain(A)) ->
% 8.33/8.52  coantidomain(A) addition domain(B)
% 8.33/8.52  Current number of equations to process: 2291
% 8.33/8.52  Current number of ordered equations: 0
% 8.33/8.58  Current number of rules: 510
% 8.33/8.58  Rule [307]
% 8.33/8.58       antidomain(B) addition multiplication(antidomain(A),domain(B)) <->
% 8.33/8.58       antidomain(A) addition multiplication(domain(A),antidomain(B)) is composed into 
% 8.33/8.58  [307]
% 8.33/8.58  antidomain(B) addition multiplication(antidomain(A),domain(B)) ->
% 8.33/8.58  antidomain(A) addition antidomain(B)
% 8.33/8.58  New rule produced :
% 8.33/8.58  [580]
% 8.33/8.58  antidomain(A) addition multiplication(domain(A),antidomain(B)) ->
% 8.33/8.58  antidomain(A) addition antidomain(B)
% 8.33/8.58  Rule
% 8.33/8.58  [304]
% 8.33/8.58  antidomain(A) addition multiplication(domain(A),antidomain(B)) <->
% 8.33/8.58  antidomain(B) addition multiplication(antidomain(A),domain(B)) collapsed.
% 8.33/8.58  Current number of equations to process: 2285
% 8.33/8.58  Current number of ordered equations: 0
% 8.33/8.58  Current number of rules: 510
% 8.33/8.58  Rule [319]
% 8.33/8.58       antidomain(B) addition multiplication(coantidomain(A),domain(B)) <->
% 8.33/8.58       coantidomain(A) addition multiplication(codomain(A),antidomain(B)) is composed into 
% 8.33/8.58  [319]
% 8.33/8.58  antidomain(B) addition multiplication(coantidomain(A),domain(B)) ->
% 8.33/8.58  coantidomain(A) addition antidomain(B)
% 8.33/8.58  New rule produced :
% 8.33/8.58  [581]
% 8.33/8.58  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) ->
% 8.33/8.58  coantidomain(A) addition antidomain(B)
% 8.33/8.58  Rule
% 8.33/8.58  [316]
% 8.33/8.58  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) <->
% 8.33/8.58  antidomain(B) addition multiplication(coantidomain(A),domain(B)) collapsed.
% 8.33/8.58  Current number of equations to process: 2283
% 8.33/8.58  Current number of ordered equations: 1
% 8.33/8.58  Current number of rules: 510
% 8.33/8.58  Rule [315]
% 8.33/8.58       codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 8.33/8.58       antidomain(B) addition multiplication(codomain(A),domain(B)) is composed into 
% 8.33/8.58  [315]
% 8.33/8.58  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 8.33/8.58  codomain(A) addition antidomain(B)
% 8.33/8.58  New rule produced :
% 8.33/8.58  [582]
% 8.33/8.58  antidomain(B) addition multiplication(codomain(A),domain(B)) ->
% 8.33/8.58  codomain(A) addition antidomain(B)
% 8.33/8.58  Current number of equations to process: 2283
% 8.33/8.58  Current number of ordered equations: 0
% 8.33/8.58  Current number of rules: 511
% 8.33/8.58  Rule [310]
% 8.33/8.58       antidomain(A) addition multiplication(domain(A),coantidomain(B)) <->
% 8.33/8.58       coantidomain(B) addition multiplication(antidomain(A),codomain(B)) is composed into 
% 8.33/8.58  [310]
% 8.33/8.58  antidomain(A) addition multiplication(domain(A),coantidomain(B)) ->
% 8.33/8.58  coantidomain(B) addition antidomain(A)
% 8.33/8.58  New rule produced :
% 8.33/8.58  [583]
% 8.33/8.58  coantidomain(A) addition multiplication(antidomain(B),codomain(A)) ->
% 8.33/8.58  coantidomain(A) addition antidomain(B)
% 8.33/8.58  Rule
% 8.33/8.58  [313]
% 8.33/8.58  coantidomain(B) addition multiplication(antidomain(A),codomain(B)) <->
% 8.33/8.58  antidomain(A) addition multiplication(domain(A),coantidomain(B)) collapsed.
% 8.33/8.58  Current number of equations to process: 2276
% 8.33/8.58  Current number of ordered equations: 1
% 8.33/8.58  Current number of rules: 511
% 8.33/8.58  Rule [312]
% 8.33/8.58       codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 8.33/8.58       antidomain(A) addition multiplication(domain(A),codomain(B)) is composed into 
% 8.33/8.58  [312]
% 8.33/8.58  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 8.33/8.58  codomain(B) addition antidomain(A)
% 8.33/8.58  New rule produced :
% 8.33/8.58  [584]
% 8.33/8.58  antidomain(B) addition multiplication(domain(B),codomain(A)) ->
% 8.33/8.58  codomain(A) addition antidomain(B)
% 8.33/8.58  Current number of equations to process: 2276
% 8.33/8.58  Current number of ordered equations: 0
% 8.33/8.58  Current number of rules: 512
% 8.33/8.58  Rule [323]
% 8.33/8.58       codomain(B) addition multiplication(codomain(A),coantidomain(B)) <->
% 8.33/8.58       codomain(A) addition multiplication(coantidomain(A),codomain(B)) is composed into 
% 8.33/8.58  [323]
% 8.33/8.58  codomain(B) addition multiplication(codomain(A),coantidomain(B)) ->
% 8.33/8.58  codomain(A) addition codomain(B)
% 8.33/8.58  New rule produced :
% 8.33/8.58  [585]
% 8.33/8.58  codomain(A) addition multiplication(coantidomain(A),codomain(B)) ->
% 8.33/8.58  codomain(A) addition codomain(B)
% 8.33/8.58  Rule
% 8.33/8.58  [320]
% 8.33/8.58  codomain(A) addition multiplication(coantidomain(A),codomain(B)) <->
% 8.33/8.58  codomain(B) addition multiplication(codomain(A),coantidomain(B)) collapsed.
% 8.33/8.58  Current number of equations to process: 2269
% 8.33/8.58  Current number of ordered equations: 1
% 8.33/8.58  Current number of rules: 512
% 8.33/8.58  Rule [324]
% 8.33/8.58       codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 8.33/8.58       coantidomain(A) addition multiplication(codomain(A),codomain(B)) is composed into 
% 8.33/8.58  [324]
% 8.33/8.58  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 8.33/8.58  codomain(B) addition coantidomain(A)
% 8.49/8.71  New rule produced :
% 8.49/8.71  [586]
% 8.49/8.71  coantidomain(B) addition multiplication(codomain(B),codomain(A)) ->
% 8.49/8.71  codomain(A) addition coantidomain(B)
% 8.49/8.71  Current number of equations to process: 2269
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 513
% 8.49/8.71  Rule [321]
% 8.49/8.71       codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 8.49/8.71       coantidomain(B) addition multiplication(codomain(A),codomain(B)) is composed into 
% 8.49/8.71  [321]
% 8.49/8.71  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 8.49/8.71  codomain(A) addition coantidomain(B)
% 8.49/8.71  New rule produced :
% 8.49/8.71  [587]
% 8.49/8.71  coantidomain(B) addition multiplication(codomain(A),codomain(B)) ->
% 8.49/8.71  codomain(A) addition coantidomain(B)
% 8.49/8.71  Current number of equations to process: 2263
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 514
% 8.49/8.71  Rule [325]
% 8.49/8.71       coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) <->
% 8.49/8.71       coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) is composed into 
% 8.49/8.71  [325]
% 8.49/8.71  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) ->
% 8.49/8.71  coantidomain(A) addition coantidomain(B)
% 8.49/8.71  New rule produced :
% 8.49/8.71  [588]
% 8.49/8.71  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) ->
% 8.49/8.71  coantidomain(A) addition coantidomain(B)
% 8.49/8.71  Rule
% 8.49/8.71  [322]
% 8.49/8.71  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) <->
% 8.49/8.71  coantidomain(B) addition multiplication(coantidomain(A),codomain(B))
% 8.49/8.71  collapsed.
% 8.49/8.71  Current number of equations to process: 2257
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 514
% 8.49/8.71  New rule produced :
% 8.49/8.71  [589]
% 8.49/8.71  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 8.49/8.71  backward_diamond(B,C)) -> zero
% 8.49/8.71  Current number of equations to process: 2251
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 515
% 8.49/8.71  New rule produced :
% 8.49/8.71  [590]
% 8.49/8.71  multiplication(multiplication(A,coantidomain(B)),codomain(codomain(B))) ->
% 8.49/8.71  zero
% 8.49/8.71  Current number of equations to process: 2255
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 516
% 8.49/8.71  New rule produced :
% 8.49/8.71  [591]
% 8.49/8.71  multiplication(multiplication(A,coantidomain(B)),coantidomain(B)) ->
% 8.49/8.71  multiplication(A,coantidomain(B))
% 8.49/8.71  Current number of equations to process: 2258
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 517
% 8.49/8.71  New rule produced :
% 8.49/8.71  [592]
% 8.49/8.71  antidomain(multiplication(multiplication(A,coantidomain(B)),domain(codomain(B))))
% 8.49/8.71  -> one
% 8.49/8.71  Current number of equations to process: 2257
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 518
% 8.49/8.71  New rule produced :
% 8.49/8.71  [593]
% 8.49/8.71  multiplication(coantidomain(backward_diamond(A,B)),multiplication(backward_diamond(A,B),C))
% 8.49/8.71  -> zero
% 8.49/8.71  Current number of equations to process: 2259
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 519
% 8.49/8.71  New rule produced :
% 8.49/8.71  [594]
% 8.49/8.71  multiplication(coantidomain(A),multiplication(codomain(codomain(A)),B)) ->
% 8.49/8.71  zero
% 8.49/8.71  Current number of equations to process: 2263
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 520
% 8.49/8.71  New rule produced :
% 8.49/8.71  [595]
% 8.49/8.71  multiplication(codomain(A),multiplication(codomain(A),B)) ->
% 8.49/8.71  multiplication(codomain(A),B)
% 8.49/8.71  Current number of equations to process: 2264
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 521
% 8.49/8.71  New rule produced :
% 8.49/8.71  [596]
% 8.49/8.71  antidomain(multiplication(coantidomain(A),domain(multiplication(codomain(A),B))))
% 8.49/8.71  -> one
% 8.49/8.71  Current number of equations to process: 2263
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 522
% 8.49/8.71  New rule produced :
% 8.49/8.71  [597]
% 8.49/8.71  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A)) addition C)
% 8.49/8.71  -> true
% 8.49/8.71  Current number of equations to process: 2263
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 523
% 8.49/8.71  New rule produced :
% 8.49/8.71  [598]
% 8.49/8.71  coantidomain(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 8.49/8.71                                             domain(sK3_goals_X3)))) addition 
% 8.49/8.71  domain(sK2_goals_X4) -> one
% 8.49/8.71  Current number of equations to process: 2262
% 8.49/8.71  Current number of ordered equations: 0
% 8.49/8.71  Current number of rules: 524
% 8.49/8.71  New rule produced :
% 8.49/8.71  [599]
% 8.49/8.71  coantidomain(backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 8.49/8.71                                             domain(sK3_goals_X3)))) addition 
% 8.61/8.81  domain(sK2_goals_X4) -> one
% 8.61/8.81  Current number of equations to process: 2261
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 525
% 8.61/8.81  New rule produced :
% 8.61/8.81  [600]
% 8.61/8.81  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(domain(B))))
% 8.61/8.81  -> one
% 8.61/8.81  Current number of equations to process: 2259
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 526
% 8.61/8.81  New rule produced :
% 8.61/8.81  [601]
% 8.61/8.81  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,
% 8.61/8.81                                                       c(domain(B)))) -> one
% 8.61/8.81  Current number of equations to process: 2258
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 527
% 8.61/8.81  New rule produced :
% 8.61/8.81  [602]
% 8.61/8.81  multiplication(A,multiplication(B,domain(C))) addition multiplication(A,B) ->
% 8.61/8.81  multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2255
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 528
% 8.61/8.81  New rule produced :
% 8.61/8.81  [603]
% 8.61/8.81  multiplication(multiplication(A,domain(C)),B) addition multiplication(A,B) ->
% 8.61/8.81  multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2254
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 529
% 8.61/8.81  New rule produced :
% 8.61/8.81  [604]
% 8.61/8.81  multiplication(multiplication(domain(A),B),C) addition multiplication(B,C) ->
% 8.61/8.81  multiplication(B,C)
% 8.61/8.81  Current number of equations to process: 2252
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 530
% 8.61/8.81  New rule produced :
% 8.61/8.81  [605]
% 8.61/8.81  multiplication(A,multiplication(domain(C),B)) addition multiplication(A,B) ->
% 8.61/8.81  multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2251
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 531
% 8.61/8.81  New rule produced :
% 8.61/8.81  [606]
% 8.61/8.81  multiplication(A,multiplication(B,antidomain(C))) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2248
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 532
% 8.61/8.81  New rule produced :
% 8.61/8.81  [607]
% 8.61/8.81  multiplication(multiplication(A,antidomain(C)),B) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2247
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 533
% 8.61/8.81  New rule produced :
% 8.61/8.81  [608]
% 8.61/8.81  multiplication(multiplication(antidomain(A),B),C) addition multiplication(B,C)
% 8.61/8.81  -> multiplication(B,C)
% 8.61/8.81  Current number of equations to process: 2245
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 534
% 8.61/8.81  New rule produced :
% 8.61/8.81  [609]
% 8.61/8.81  multiplication(A,multiplication(antidomain(C),B)) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2244
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 535
% 8.61/8.81  New rule produced :
% 8.61/8.81  [610]
% 8.61/8.81  multiplication(A,multiplication(B,codomain(C))) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2237
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 536
% 8.61/8.81  New rule produced :
% 8.61/8.81  [611]
% 8.61/8.81  multiplication(multiplication(A,codomain(C)),B) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2236
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 537
% 8.61/8.81  New rule produced :
% 8.61/8.81  [612]
% 8.61/8.81  multiplication(multiplication(codomain(A),B),C) addition multiplication(B,C)
% 8.61/8.81  -> multiplication(B,C)
% 8.61/8.81  Current number of equations to process: 2233
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 538
% 8.61/8.81  New rule produced :
% 8.61/8.81  [613]
% 8.61/8.81  multiplication(A,multiplication(codomain(C),B)) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2232
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 539
% 8.61/8.81  New rule produced :
% 8.61/8.81  [614]
% 8.61/8.81  multiplication(A,multiplication(B,coantidomain(C))) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2228
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 540
% 8.61/8.81  New rule produced :
% 8.61/8.81  [615]
% 8.61/8.81  multiplication(multiplication(A,coantidomain(C)),B) addition multiplication(A,B)
% 8.61/8.81  -> multiplication(A,B)
% 8.61/8.81  Current number of equations to process: 2227
% 8.61/8.81  Current number of ordered equations: 0
% 8.61/8.81  Current number of rules: 541
% 8.61/8.81  New rule produced :
% 8.61/8.81  [616]
% 8.61/8.81  multiplication(multiplication(coantidomain(A),B),C) addition multiplication(B,C)
% 8.91/9.11  -> multiplication(B,C)
% 8.91/9.11  Current number of equations to process: 2224
% 8.91/9.11  Current number of ordered equations: 0
% 8.91/9.11  Current number of rules: 542
% 8.91/9.11  New rule produced :
% 8.91/9.11  [617]
% 8.91/9.11  multiplication(A,multiplication(coantidomain(C),B)) addition multiplication(A,B)
% 8.91/9.11  -> multiplication(A,B)
% 8.91/9.11  Current number of equations to process: 2223
% 8.91/9.11  Current number of ordered equations: 0
% 8.91/9.11  Current number of rules: 543
% 8.91/9.11  New rule produced :
% 8.91/9.11  [618]
% 8.91/9.11  multiplication(multiplication(A,multiplication(B,coantidomain(C))),multiplication(
% 8.91/9.11                                                                     codomain(C),X0))
% 8.91/9.11  -> zero
% 8.91/9.11  Current number of equations to process: 2218
% 8.91/9.11  Current number of ordered equations: 0
% 8.91/9.11  Current number of rules: 544
% 8.91/9.11  New rule produced :
% 8.91/9.11  [619]
% 8.91/9.11  multiplication(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 8.91/9.11                                                                  codomain(B),C),X0))
% 8.91/9.11  -> zero
% 8.91/9.11  Current number of equations to process: 2217
% 8.91/9.11  Current number of ordered equations: 0
% 8.91/9.11  Current number of rules: 545
% 8.91/9.12  New rule produced :
% 8.91/9.12  [620] forward_diamond(coantidomain(A),codomain(A)) -> zero
% 8.91/9.12  Current number of equations to process: 2217
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 546
% 8.91/9.12  New rule produced :
% 8.91/9.12  [621] multiplication(coantidomain(A),domain(codomain(A))) -> zero
% 8.91/9.12  Rule
% 8.91/9.12  [160] antidomain(multiplication(coantidomain(A),domain(codomain(A)))) -> one
% 8.91/9.12  collapsed.
% 8.91/9.12  Current number of equations to process: 2217
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 546
% 8.91/9.12  New rule produced :
% 8.91/9.12  [622]
% 8.91/9.12  leq(one,antidomain(multiplication(coantidomain(A),domain(domain(codomain(A))))))
% 8.91/9.12  -> true
% 8.91/9.12  Current number of equations to process: 2217
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 547
% 8.91/9.12  New rule produced :
% 8.91/9.12  [623]
% 8.91/9.12  multiplication(multiplication(A,domain(B)),domain(B)) ->
% 8.91/9.12  multiplication(A,domain(B))
% 8.91/9.12  Current number of equations to process: 2224
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 548
% 8.91/9.12  New rule produced :
% 8.91/9.12  [624]
% 8.91/9.12  multiplication(antidomain(A),multiplication(antidomain(A),B)) ->
% 8.91/9.12  multiplication(antidomain(A),B)
% 8.91/9.12  Current number of equations to process: 2235
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 549
% 8.91/9.12  New rule produced :
% 8.91/9.12  [625]
% 8.91/9.12  antidomain(multiplication(domain(A),domain(multiplication(antidomain(A),B))))
% 8.91/9.12  -> one
% 8.91/9.12  Current number of equations to process: 2234
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 550
% 8.91/9.12  New rule produced :
% 8.91/9.12  [626]
% 8.91/9.12  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 8.91/9.12                                                                   domain(C))))
% 8.91/9.12  -> zero
% 8.91/9.12  Current number of equations to process: 2240
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 551
% 8.91/9.12  New rule produced :
% 8.91/9.12  [627]
% 8.91/9.12  multiplication(multiplication(A,multiplication(B,domain(C))),multiplication(
% 8.91/9.12                                                               antidomain(C),X0))
% 8.91/9.12  -> zero
% 8.91/9.12  Current number of equations to process: 2239
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 552
% 8.91/9.12  New rule produced :
% 8.91/9.12  [628]
% 8.91/9.12  multiplication(multiplication(A,domain(B)),multiplication(multiplication(
% 8.91/9.12                                                            antidomain(B),C),X0))
% 8.91/9.12  -> zero
% 8.91/9.12  Current number of equations to process: 2238
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 553
% 8.91/9.12  New rule produced :
% 8.91/9.12  [629]
% 8.91/9.12  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 8.91/9.12                                                                domain(B))),C))
% 8.91/9.12  -> zero
% 8.91/9.12  Current number of equations to process: 2234
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 554
% 8.91/9.12  New rule produced :
% 8.91/9.12  [630] forward_diamond(multiplication(A,multiplication(B,c(C))),C) -> zero
% 8.91/9.12  Current number of equations to process: 2246
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 555
% 8.91/9.12  New rule produced :
% 8.91/9.12  [631]
% 8.91/9.12  multiplication(multiplication(A,c(B)),antidomain(B)) ->
% 8.91/9.12  multiplication(A,c(B))
% 8.91/9.12  Current number of equations to process: 2249
% 8.91/9.12  Current number of ordered equations: 0
% 8.91/9.12  Current number of rules: 556
% 8.91/9.12  New rule produced :
% 9.55/9.73  [632]
% 9.55/9.73  antidomain(multiplication(multiplication(A,c(B)),domain(domain(B)))) -> one
% 9.55/9.73  Current number of equations to process: 2248
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 557
% 9.55/9.73  New rule produced :
% 9.55/9.73  [633]
% 9.55/9.73  forward_diamond(multiplication(C,c(B)) addition A,B) -> forward_diamond(A,B)
% 9.55/9.73  Current number of equations to process: 2249
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 558
% 9.55/9.73  New rule produced :
% 9.55/9.73  [634] multiplication(multiplication(A,c(c(B))),c(domain(B))) -> zero
% 9.55/9.73  Current number of equations to process: 2251
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 559
% 9.55/9.73  New rule produced :
% 9.55/9.73  [635] multiplication(multiplication(A,c(domain(domain(B)))),c(c(B))) -> zero
% 9.55/9.73  Current number of equations to process: 2250
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 560
% 9.55/9.73  New rule produced :
% 9.55/9.73  [636]
% 9.55/9.73  antidomain(multiplication(c(A),domain(multiplication(domain(A),B)))) -> one
% 9.55/9.73  Current number of equations to process: 2253
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 561
% 9.55/9.73  New rule produced :
% 9.55/9.73  [637] multiplication(c(c(A)),multiplication(c(domain(A)),B)) -> zero
% 9.55/9.73  Current number of equations to process: 2256
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 562
% 9.55/9.73  New rule produced :
% 9.55/9.73  [638]
% 9.55/9.73  backward_diamond(codomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 9.55/9.73  -> zero
% 9.55/9.73  Current number of equations to process: 2255
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 563
% 9.55/9.73  New rule produced :
% 9.55/9.73  [639]
% 9.55/9.73  backward_diamond(codomain(codomain(codomain(A))),coantidomain(A)) -> zero
% 9.55/9.73  Current number of equations to process: 2255
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 564
% 9.55/9.73  New rule produced : [640] backward_diamond(A,zero) -> zero
% 9.55/9.73  Current number of equations to process: 2255
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 565
% 9.55/9.73  New rule produced : [641] forward_diamond(c(A),domain(A)) -> zero
% 9.55/9.73  Current number of equations to process: 2256
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 566
% 9.55/9.73  New rule produced : [642] multiplication(c(A),domain(domain(A))) -> zero
% 9.55/9.73  Rule [171] antidomain(multiplication(c(A),domain(domain(A)))) -> one
% 9.55/9.73  collapsed.
% 9.55/9.73  Current number of equations to process: 2256
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 566
% 9.55/9.73  New rule produced :
% 9.55/9.73  [643] multiplication(c(domain(domain(A))),multiplication(c(c(A)),B)) -> zero
% 9.55/9.73  Current number of equations to process: 2277
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 567
% 9.55/9.73  New rule produced :
% 9.55/9.73  [644] forward_diamond(A,B) addition c(forward_diamond(A,B)) -> one
% 9.55/9.73  Current number of equations to process: 2298
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 568
% 9.55/9.73  New rule produced :
% 9.55/9.73  [645]
% 9.55/9.73  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(
% 9.55/9.73                                                                     domain(B)))))
% 9.55/9.73  -> zero
% 9.55/9.73  Current number of equations to process: 2325
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 569
% 9.55/9.73  New rule produced :
% 9.55/9.73  [646]
% 9.55/9.73  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 9.55/9.73                                                          domain(C),X0)) ->
% 9.55/9.73  zero
% 9.55/9.73  Current number of equations to process: 2323
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 570
% 9.55/9.73  New rule produced :
% 9.55/9.73  [647]
% 9.55/9.73  multiplication(multiplication(A,c(B)),multiplication(multiplication(domain(B),C),X0))
% 9.55/9.73  -> zero
% 9.55/9.73  Current number of equations to process: 2322
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 571
% 9.55/9.73  New rule produced : [648] multiplication(c(A),c(A)) -> c(A)
% 9.55/9.73  Current number of equations to process: 2317
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 572
% 9.55/9.73  New rule produced : [649] leq(multiplication(A,c(B)),A) -> true
% 9.55/9.73  Current number of equations to process: 2321
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 573
% 9.55/9.73  New rule produced : [650] leq(multiplication(A,c(B)),A addition C) -> true
% 9.55/9.73  Current number of equations to process: 2320
% 9.55/9.73  Current number of ordered equations: 0
% 9.55/9.73  Current number of rules: 574
% 9.55/9.73  New rule produced :
% 9.64/9.85  [651] leq(multiplication(A,c(B)) addition C,A addition C) -> true
% 9.64/9.85  Current number of equations to process: 2369
% 9.64/9.85  Current number of ordered equations: 0
% 9.64/9.85  Current number of rules: 575
% 9.64/9.85  New rule produced :
% 9.64/9.85  [652]
% 9.64/9.85  domain(A) addition multiplication(domain(B),c(A)) ->
% 9.64/9.85  domain(A) addition domain(B)
% 9.64/9.85  Current number of equations to process: 2367
% 9.64/9.85  Current number of ordered equations: 1
% 9.64/9.85  Current number of rules: 576
% 9.64/9.85  New rule produced :
% 9.64/9.85  [653]
% 9.64/9.85  domain(A) addition multiplication(antidomain(B),c(A)) ->
% 9.64/9.85  domain(A) addition antidomain(B)
% 9.64/9.85  Current number of equations to process: 2367
% 9.64/9.85  Current number of ordered equations: 0
% 9.64/9.85  Current number of rules: 577
% 9.64/9.85  New rule produced :
% 9.64/9.85  [654]
% 9.64/9.85  domain(A) addition multiplication(codomain(B),c(A)) ->
% 9.64/9.85  codomain(B) addition domain(A)
% 9.64/9.85  Current number of equations to process: 2365
% 9.64/9.85  Current number of ordered equations: 1
% 9.64/9.85  Current number of rules: 578
% 9.64/9.85  New rule produced :
% 9.64/9.85  [655]
% 9.64/9.85  domain(A) addition multiplication(coantidomain(B),c(A)) ->
% 9.64/9.85  coantidomain(B) addition domain(A)
% 9.64/9.85  Current number of equations to process: 2365
% 9.64/9.85  Current number of ordered equations: 0
% 9.64/9.85  Current number of rules: 579
% 9.64/9.85  Rule [124] c(antidomain(A)) -> domain(domain(A)) is composed into [124]
% 9.64/9.85                                                                    c(antidomain(A))
% 9.64/9.85                                                                    ->
% 9.64/9.85                                                                    domain(A)
% 9.64/9.85  Rule [40] forward_diamond(one,A) -> domain(domain(A)) is composed into 
% 9.64/9.85  [40] forward_diamond(one,A) -> domain(A)
% 9.64/9.85  Rule [38] antidomain(c(A)) -> domain(domain(A)) is composed into [38]
% 9.64/9.85                                                                   antidomain(
% 9.64/9.85                                                                   c(A)) ->
% 9.64/9.85                                                                   domain(A)
% 9.64/9.85  New rule produced : [656] domain(domain(A)) -> domain(A)
% 9.64/9.85  Rule [50] c(A) addition domain(domain(A)) -> one collapsed.
% 9.64/9.85  Rule [131] multiplication(domain(domain(A)),c(A)) -> zero collapsed.
% 9.64/9.85  Rule [132] domain(domain(domain(A))) -> c(c(A)) collapsed.
% 9.64/9.85  Rule [194] multiplication(multiplication(A,domain(domain(B))),c(B)) -> zero
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule [200] multiplication(domain(domain(A)),multiplication(c(A),B)) -> zero
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [206]
% 9.64/9.85  multiplication(A,c(B)) addition multiplication(A,domain(domain(B))) -> A
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [207]
% 9.64/9.85  multiplication(c(B),A) addition multiplication(domain(domain(B)),A) -> A
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule [228] ifeq2(one,c(A),leq(domain(domain(A)),c(A)),true) -> true
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [233]
% 9.64/9.85  forward_diamond(A,B) addition antidomain(multiplication(A,domain(domain(B))))
% 9.64/9.85  -> one collapsed.
% 9.64/9.85  Rule [294] ifeq(leq(domain(domain(A)),c(A)),true,one,c(A)) -> c(A) collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [342] ifeq2(one,domain(domain(A)),leq(c(A),domain(domain(A))),true) -> true
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule [392] domain(domain(A)) addition domain(A) -> domain(domain(A))
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule [396] c(c(A)) addition domain(domain(A)) -> c(c(A)) collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [404]
% 9.64/9.85  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(
% 9.64/9.85                                                                   domain(B))))
% 9.64/9.85  -> one collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [408]
% 9.64/9.85  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(
% 9.64/9.85                                                                  domain(B)))))
% 9.64/9.85  -> true collapsed.
% 9.64/9.85  Rule [415] c(c(A)) addition c(domain(domain(A))) -> one collapsed.
% 9.64/9.85  Rule [445] forward_diamond(domain(domain(A)),antidomain(A)) -> zero
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule [446] multiplication(c(domain(domain(A))),c(c(A))) -> zero collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [572]
% 9.64/9.85  multiplication(multiplication(A,domain(domain(B))),multiplication(c(B),C)) ->
% 9.64/9.85  zero collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [622]
% 9.64/9.85  leq(one,antidomain(multiplication(coantidomain(A),domain(domain(codomain(A))))))
% 9.64/9.85  -> true collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [632]
% 9.64/9.85  antidomain(multiplication(multiplication(A,c(B)),domain(domain(B)))) -> one
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [635] multiplication(multiplication(A,c(domain(domain(B)))),c(c(B))) -> zero
% 9.64/9.85  collapsed.
% 9.64/9.85  Rule [642] multiplication(c(A),domain(domain(A))) -> zero collapsed.
% 9.64/9.85  Rule
% 9.64/9.85  [643] multiplication(c(domain(domain(A))),multiplication(c(c(A)),B)) -> zero
% 9.64/9.85  collapsed.
% 9.64/9.85  Current number of equations to process: 2386
% 9.71/9.91  Current number of ordered equations: 0
% 9.71/9.91  Current number of rules: 556
% 9.71/9.91  Rule [412] forward_diamond(A,one) -> domain(A) is composed into [412]
% 9.71/9.91                                                                  forward_diamond(A,one)
% 9.71/9.91                                                                  -> c(c(A))
% 9.71/9.91  Rule [379]
% 9.71/9.91       forward_diamond(A addition C,antidomain(B)) <->
% 9.71/9.91       domain(multiplication(A,c(B)) addition multiplication(C,c(B))) is composed into 
% 9.71/9.91  [379]
% 9.71/9.91  forward_diamond(A addition C,antidomain(B)) <->
% 9.71/9.91  c(c(multiplication(A,c(B)) addition multiplication(C,c(B))))
% 9.71/9.91  Rule [374]
% 9.71/9.91       antidomain(forward_diamond(A addition C,B)) <->
% 9.71/9.91       c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) is composed into 
% 9.71/9.91  [374]
% 9.71/9.91  antidomain(forward_diamond(A addition C,B)) <->
% 9.71/9.91  c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B))))
% 9.71/9.91  Rule [184]
% 9.71/9.91       c(multiplication(A,forward_diamond(B,C))) ->
% 9.71/9.91       antidomain(forward_diamond(A,multiplication(B,domain(C)))) is composed into 
% 9.71/9.91  [184]
% 9.71/9.91  c(multiplication(A,forward_diamond(B,C))) ->
% 9.71/9.91  antidomain(forward_diamond(A,multiplication(B,c(c(C)))))
% 9.71/9.91  Rule [124] c(antidomain(A)) -> domain(A) is composed into [124]
% 9.71/9.91                                                            c(antidomain(A)) ->
% 9.71/9.91                                                            c(c(A))
% 9.71/9.91  Rule [99]
% 9.71/9.91       forward_diamond(A addition C,B) <->
% 9.71/9.91       domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) is composed into 
% 9.71/9.91  [99]
% 9.71/9.91  forward_diamond(A addition C,B) <->
% 9.71/9.91  c(c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B)))))
% 9.71/9.91  Rule [40] forward_diamond(one,A) -> domain(A) is composed into [40]
% 9.71/9.91                                                                 forward_diamond(one,A)
% 9.71/9.91                                                                 -> c(c(A))
% 9.71/9.91  Rule [38] antidomain(c(A)) -> domain(A) is composed into [38]
% 9.71/9.91                                                           antidomain(c(A)) ->
% 9.71/9.91                                                           c(c(A))
% 9.71/9.91  Rule [29]
% 9.71/9.91       if_then_else(X0,X1,X2) ->
% 9.71/9.91       multiplication(domain(X0),X1) addition multiplication(antidomain(X0),X2) is composed into 
% 9.71/9.91  [29]
% 9.71/9.91  if_then_else(X0,X1,X2) ->
% 9.71/9.91  multiplication(c(c(X0)),X1) addition multiplication(antidomain(X0),X2)
% 9.71/9.91  Rule [20]
% 9.71/9.91       domain_difference(X0,X1) -> multiplication(domain(X0),antidomain(X1)) is composed into 
% 9.71/9.91  [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),antidomain(X1))
% 9.71/9.91  Rule [8] antidomain(antidomain(X0)) -> domain(X0) is composed into [8]
% 9.71/9.91                                                                     antidomain(
% 9.71/9.91                                                                     antidomain(X0))
% 9.71/9.91                                                                     ->
% 9.71/9.91                                                                     c(c(X0))
% 9.71/9.91  New rule produced : [657] domain(A) -> c(c(A))
% 9.71/9.91  Rule [9] antidomain(domain(X0)) -> c(X0) collapsed.
% 9.71/9.91  Rule [15] domain(multiplication(X0,domain(X1))) -> forward_diamond(X0,X1)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [16] domain(X0) addition antidomain(X0) -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [27]
% 9.71/9.91  backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 9.71/9.91                                domain(sK3_goals_X3))) addition domain(sK2_goals_X4)
% 9.71/9.91  -> domain(sK2_goals_X4) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [28]
% 9.71/9.91  backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),domain(sK3_goals_X3))) addition 
% 9.71/9.91  domain(sK2_goals_X4) -> domain(sK2_goals_X4) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [31]
% 9.71/9.91  antidomain(multiplication(X0,domain(X1))) addition antidomain(multiplication(X0,X1))
% 9.71/9.91  -> antidomain(multiplication(X0,domain(X1))) collapsed.
% 9.71/9.91  Rule [34] domain(antidomain(A)) -> c(A) collapsed.
% 9.71/9.91  Rule [41] one addition domain(A) -> one collapsed.
% 9.71/9.91  Rule [46] multiplication(domain(A),antidomain(A)) -> zero collapsed.
% 9.71/9.91  Rule [47] multiplication(c(A),domain(A)) -> zero collapsed.
% 9.71/9.91  Rule [49] c(A) addition domain(A) -> one collapsed.
% 9.71/9.91  Rule [52] c(multiplication(A,domain(B))) -> antidomain(forward_diamond(A,B))
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [58]
% 9.71/9.91  domain(multiplication(A,forward_diamond(B,C))) ->
% 9.71/9.91  forward_diamond(A,multiplication(B,domain(C))) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [64]
% 9.71/9.91  forward_diamond(A,B) addition antidomain(multiplication(A,domain(B))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [67]
% 9.71/9.91  domain(multiplication(A,multiplication(B,domain(C)))) ->
% 9.71/9.91  forward_diamond(multiplication(A,B),C) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [68]
% 9.71/9.91  multiplication(A,domain(B)) addition multiplication(A,antidomain(B)) -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [70]
% 9.71/9.91  multiplication(domain(B),A) addition multiplication(antidomain(B),A) -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [82] ifeq2(one,domain(A),leq(antidomain(A),domain(A)),true) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [83] ifeq2(one,antidomain(A),leq(domain(A),antidomain(A)),true) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [87]
% 9.71/9.91  leq(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 9.71/9.91                                    domain(sK3_goals_X3))),domain(sK2_goals_X4))
% 9.71/9.91  -> true collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [89]
% 9.71/9.91  leq(backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 9.71/9.91                                    domain(sK3_goals_X3))),domain(sK2_goals_X4))
% 9.71/9.91  -> true collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [90]
% 9.71/9.91  ifeq(leq(domain(A),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [91] ifeq(leq(antidomain(A),domain(A)),true,one,domain(A)) -> domain(A)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [98]
% 9.71/9.91  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 9.71/9.91  forward_diamond(A addition C,B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [100]
% 9.71/9.91  leq(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 9.71/9.91                                    domain(sK3_goals_X3))),domain(sK2_goals_X4) addition A)
% 9.71/9.91  -> true collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [101]
% 9.71/9.91  leq(backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 9.71/9.91                                    domain(sK3_goals_X3))),domain(sK2_goals_X4) addition A)
% 9.71/9.91  -> true collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [115]
% 9.71/9.91  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(B)))
% 9.71/9.91  -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [116]
% 9.71/9.91  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))))
% 9.71/9.91  -> true collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [119]
% 9.71/9.91  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))) addition C)
% 9.71/9.91  -> true collapsed.
% 9.71/9.91  Rule [123] domain(one) -> one collapsed.
% 9.71/9.91  Rule [125] domain(c(A)) -> c(domain(A)) collapsed.
% 9.71/9.91  Rule [126] domain(multiplication(A,c(B))) -> forward_diamond(A,antidomain(B))
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [127] domain(zero) -> zero collapsed.
% 9.71/9.91  Rule [134] leq(domain(A),one) -> true collapsed.
% 9.71/9.91  Rule [135] leq(domain(A),one addition B) -> true collapsed.
% 9.71/9.91  Rule [136] multiplication(A,domain(B)) addition A -> A collapsed.
% 9.71/9.91  Rule [137] multiplication(domain(B),A) addition A -> A collapsed.
% 9.71/9.91  Rule [154] ifeq2(one,domain(A),leq(one,domain(A)),true) -> true collapsed.
% 9.71/9.91  Rule [162] multiplication(multiplication(A,domain(B)),antidomain(B)) -> zero
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [163] multiplication(domain(A),multiplication(antidomain(A),B)) -> zero
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [164]
% 9.71/9.91  multiplication(forward_diamond(A,B),antidomain(multiplication(A,domain(B))))
% 9.71/9.91  -> zero collapsed.
% 9.71/9.91  Rule [167] multiplication(multiplication(A,c(B)),domain(B)) -> zero
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [168] multiplication(c(A),multiplication(domain(A),B)) -> zero
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [175] multiplication(A,c(B)) addition multiplication(A,domain(B)) -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [176] multiplication(c(B),A) addition multiplication(domain(B),A) -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [177] ifeq(leq(one,domain(A)),true,one,domain(A)) -> domain(A)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [185]
% 9.71/9.91  c(multiplication(A,multiplication(B,domain(C)))) ->
% 9.71/9.91  antidomain(forward_diamond(multiplication(A,B),C)) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [189]
% 9.71/9.91  antidomain(multiplication(multiplication(A,B),domain(coantidomain(B)))) ->
% 9.71/9.91  one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [193]
% 9.71/9.91  antidomain(multiplication(multiplication(A,antidomain(B)),domain(B))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [196]
% 9.71/9.91  antidomain(multiplication(A,domain(multiplication(coantidomain(A),B)))) ->
% 9.71/9.91  one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [199]
% 9.71/9.91  antidomain(multiplication(antidomain(A),domain(multiplication(A,B)))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [204] ifeq2(one,domain(A),leq(c(A),domain(A)),true) -> true collapsed.
% 9.71/9.91  Rule [205] ifeq2(one,c(A),leq(domain(A),c(A)),true) -> true collapsed.
% 9.71/9.91  Rule [212] ifeq(leq(c(A),domain(A)),true,one,domain(A)) -> domain(A)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [213] ifeq(leq(domain(A),c(A)),true,one,c(A)) -> c(A) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [214]
% 9.71/9.91  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,domain(B)))
% 9.71/9.91  -> zero collapsed.
% 9.71/9.91  Rule [216] leq(domain(A) addition B,one addition B) -> true collapsed.
% 9.71/9.91  Rule [223] leq(domain(A) addition B,one addition B addition C) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [242]
% 9.71/9.91  forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 9.71/9.91  -> zero collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [245]
% 9.71/9.91  domain(multiplication(A,multiplication(B,c(C)))) ->
% 9.71/9.91  forward_diamond(multiplication(A,B),antidomain(C)) collapsed.
% 9.71/9.91  Rule [246] multiplication(domain(A),domain(A)) -> domain(A) collapsed.
% 9.71/9.91  Rule [248] leq(multiplication(A,domain(B)),A) -> true collapsed.
% 9.71/9.91  Rule [250] leq(multiplication(A,domain(B)),A addition C) -> true collapsed.
% 9.71/9.91  Rule [255] leq(multiplication(A,domain(B)) addition C,A addition C) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [263] multiplication(domain(A),A) -> A collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [264]
% 9.71/9.91  multiplication(domain(A),coantidomain(antidomain(A))) ->
% 9.71/9.91  coantidomain(antidomain(A)) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [265]
% 9.71/9.91  multiplication(antidomain(A),coantidomain(domain(A))) ->
% 9.71/9.91  coantidomain(domain(A)) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [272] multiplication(domain(A),multiplication(A,B)) -> multiplication(A,B)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [273] leq(multiplication(domain(A),B),B) -> true collapsed.
% 9.71/9.91  Rule [275] leq(multiplication(domain(A),B),B addition C) -> true collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [277]
% 9.71/9.91  multiplication(domain(A),multiplication(coantidomain(antidomain(A)),B)) ->
% 9.71/9.91  multiplication(coantidomain(antidomain(A)),B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [278]
% 9.71/9.91  multiplication(antidomain(A),multiplication(coantidomain(domain(A)),B)) ->
% 9.71/9.91  multiplication(coantidomain(domain(A)),B) collapsed.
% 9.71/9.91  Rule [279] leq(multiplication(domain(A),B) addition C,B addition C) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [292] antidomain(multiplication(A,domain(coantidomain(A)))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [293] antidomain(multiplication(antidomain(A),domain(A))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [298]
% 9.71/9.91  domain(multiplication(A,multiplication(B,forward_diamond(C,X0)))) ->
% 9.71/9.91  forward_diamond(multiplication(A,B),multiplication(C,domain(X0))) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [299]
% 9.71/9.91  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 9.71/9.91                                                                     domain(C)))
% 9.71/9.91  -> zero collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [301]
% 9.71/9.91  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 9.71/9.91                                                             domain(C)))),B),C)
% 9.71/9.91  -> zero collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [303]
% 9.71/9.91  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.71/9.91  domain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [305]
% 9.71/9.91  domain(B) addition multiplication(domain(A),antidomain(B)) ->
% 9.71/9.91  domain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [306]
% 9.71/9.91  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.71/9.91  domain(B) addition antidomain(A) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [307]
% 9.71/9.91  antidomain(B) addition multiplication(antidomain(A),domain(B)) ->
% 9.71/9.91  antidomain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [308]
% 9.71/9.91  domain(A) addition multiplication(antidomain(A),codomain(B)) ->
% 9.71/9.91  codomain(B) addition domain(A) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [309]
% 9.71/9.91  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 9.71/9.91  coantidomain(B) addition domain(A) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [310]
% 9.71/9.91  antidomain(A) addition multiplication(domain(A),coantidomain(B)) ->
% 9.71/9.91  coantidomain(B) addition antidomain(A) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [317]
% 9.71/9.91  domain(B) addition multiplication(codomain(A),antidomain(B)) ->
% 9.71/9.91  codomain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [318]
% 9.71/9.91  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 9.71/9.91  coantidomain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [319]
% 9.71/9.91  antidomain(B) addition multiplication(coantidomain(A),domain(B)) ->
% 9.71/9.91  coantidomain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [327]
% 9.71/9.91  multiplication(multiplication(A,domain(B)),multiplication(antidomain(B),C))
% 9.71/9.91  -> zero collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [328]
% 9.71/9.91  multiplication(multiplication(A,c(B)),multiplication(domain(B),C)) -> zero
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [334] ifeq2(one addition A,one,leq(domain(B) addition A,one),true) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [335] ifeq(leq(domain(A) addition B,one),true,one addition B,one) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [347]
% 9.71/9.91  domain(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 9.71/9.91  forward_diamond(multiplication(A,multiplication(B,C)),X0) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [348]
% 9.71/9.91  leq(multiplication(A,domain(B)) addition C,A addition C addition X0) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [352]
% 9.71/9.91  leq(multiplication(domain(A),B) addition C,B addition C addition X0) -> true
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [373]
% 9.71/9.91  c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 9.71/9.91  antidomain(forward_diamond(A addition C,B)) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [375]
% 9.71/9.91  c(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 9.71/9.91  antidomain(forward_diamond(multiplication(A,multiplication(B,C)),X0))
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [376]
% 9.71/9.91  domain(domain(A) addition multiplication(B,domain(A))) ->
% 9.71/9.91  forward_diamond(one addition B,A) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [378]
% 9.71/9.91  domain(multiplication(A,c(B)) addition multiplication(C,c(B))) <->
% 9.71/9.91  forward_diamond(A addition C,antidomain(B)) collapsed.
% 9.71/9.91  Rule [393] c(domain(A)) addition c(A) -> c(domain(A)) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [403]
% 9.71/9.91  antidomain(forward_diamond(A,B)) addition antidomain(multiplication(A,
% 9.71/9.91                                                       domain(B))) ->
% 9.71/9.91  antidomain(forward_diamond(A,B)) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [405]
% 9.71/9.91  domain(multiplication(A,antidomain(B))) addition antidomain(multiplication(A,
% 9.71/9.91                                                              c(B))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [413] multiplication(c(c(A)),c(domain(A))) -> zero collapsed.
% 9.71/9.91  Rule [414] c(c(A)) addition c(domain(A)) -> one collapsed.
% 9.71/9.91  Rule [429] coantidomain(backward_diamond(antidomain(A),domain(A))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [430] coantidomain(backward_diamond(domain(A),c(A))) -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [438] antidomain(multiplication(codomain(A),domain(coantidomain(A)))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [449] one addition multiplication(antidomain(A),domain(B)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [450] one addition multiplication(domain(A),domain(B)) -> one collapsed.
% 9.71/9.91  Rule [451] one addition multiplication(coantidomain(A),domain(B)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [452] one addition multiplication(codomain(A),domain(B)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [454] one addition multiplication(c(A),domain(B)) -> one collapsed.
% 9.71/9.91  Rule [455] one addition multiplication(forward_diamond(A,B),domain(C)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [456] c(A) addition multiplication(antidomain(A),domain(B)) -> c(A)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [457] one addition multiplication(domain(A),antidomain(B)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [458] one addition multiplication(domain(A),coantidomain(B)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [459] one addition multiplication(domain(A),codomain(B)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [460] multiplication(multiplication(A,domain(B)),domain(C)) addition A -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [461]
% 9.71/9.91  multiplication(multiplication(A,antidomain(B)),domain(C)) addition A -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [462] multiplication(multiplication(A,codomain(B)),domain(C)) addition A -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [463]
% 9.71/9.91  multiplication(multiplication(A,coantidomain(B)),domain(C)) addition A -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [464] multiplication(multiplication(domain(A),B),domain(C)) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [465]
% 9.71/9.91  multiplication(multiplication(antidomain(A),B),domain(C)) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [466] multiplication(multiplication(codomain(A),B),domain(C)) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [467]
% 9.71/9.91  multiplication(multiplication(coantidomain(A),B),domain(C)) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [469] one addition multiplication(domain(A),c(B)) -> one collapsed.
% 9.71/9.91  Rule [470] one addition multiplication(domain(A),forward_diamond(B,C)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule [471] c(A) addition multiplication(domain(B),antidomain(A)) -> c(A)
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [472]
% 9.71/9.91  multiplication(domain(A),multiplication(B,antidomain(C))) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [473] multiplication(domain(A),multiplication(B,domain(C))) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [474] multiplication(domain(A),multiplication(B,codomain(C))) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [475]
% 9.71/9.91  multiplication(domain(A),multiplication(B,coantidomain(C))) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [476] multiplication(domain(A),multiplication(domain(B),C)) addition C -> C
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [477]
% 9.71/9.91  multiplication(domain(A),multiplication(antidomain(B),C)) addition C -> C
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [478] multiplication(domain(A),multiplication(codomain(B),C)) addition C -> C
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [479]
% 9.71/9.91  multiplication(domain(A),multiplication(coantidomain(B),C)) addition C -> C
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [488]
% 9.71/9.91  multiplication(multiplication(A,domain(B)),antidomain(C)) addition A -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [492]
% 9.71/9.91  multiplication(multiplication(domain(A),B),antidomain(C)) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [502]
% 9.71/9.91  multiplication(antidomain(A),multiplication(B,domain(C))) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [505]
% 9.71/9.91  multiplication(antidomain(A),multiplication(domain(B),C)) addition C -> C
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [509] one addition multiplication(backward_diamond(A,B),domain(C)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [510] one addition multiplication(domain(A),backward_diamond(B,C)) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [520] multiplication(multiplication(A,domain(B)),codomain(C)) addition A -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [524] multiplication(multiplication(domain(A),B),codomain(C)) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [533] multiplication(codomain(A),multiplication(B,domain(C))) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [536] multiplication(codomain(A),multiplication(domain(B),C)) addition C -> C
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [545]
% 9.71/9.91  multiplication(multiplication(A,domain(B)),coantidomain(C)) addition A -> A
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [549]
% 9.71/9.91  multiplication(multiplication(domain(A),B),coantidomain(C)) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [558]
% 9.71/9.91  multiplication(coantidomain(A),multiplication(B,domain(C))) addition B -> B
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [561]
% 9.71/9.91  multiplication(coantidomain(A),multiplication(domain(B),C)) addition C -> C
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [571]
% 9.71/9.91  domain(multiplication(A,antidomain(forward_diamond(B,C)))) ->
% 9.71/9.91  forward_diamond(A,antidomain(multiplication(B,domain(C)))) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [573]
% 9.71/9.91  domain(A) addition multiplication(antidomain(A),domain(B)) ->
% 9.71/9.91  domain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [574]
% 9.71/9.91  antidomain(B) addition multiplication(domain(B),domain(A)) ->
% 9.71/9.91  domain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [575]
% 9.71/9.91  codomain(A) addition multiplication(coantidomain(A),domain(B)) ->
% 9.71/9.91  codomain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [576]
% 9.71/9.91  coantidomain(A) addition multiplication(codomain(A),domain(B)) ->
% 9.71/9.91  coantidomain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [577]
% 9.71/9.91  antidomain(B) addition multiplication(domain(A),domain(B)) ->
% 9.71/9.91  domain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [578]
% 9.71/9.91  codomain(A) addition multiplication(domain(B),coantidomain(A)) ->
% 9.71/9.91  codomain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [579]
% 9.71/9.91  coantidomain(A) addition multiplication(domain(B),codomain(A)) ->
% 9.71/9.91  coantidomain(A) addition domain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [580]
% 9.71/9.91  antidomain(A) addition multiplication(domain(A),antidomain(B)) ->
% 9.71/9.91  antidomain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [582]
% 9.71/9.91  antidomain(B) addition multiplication(codomain(A),domain(B)) ->
% 9.71/9.91  codomain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [584]
% 9.71/9.91  antidomain(B) addition multiplication(domain(B),codomain(A)) ->
% 9.71/9.91  codomain(A) addition antidomain(B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [592]
% 9.71/9.91  antidomain(multiplication(multiplication(A,coantidomain(B)),domain(codomain(B))))
% 9.71/9.91  -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [596]
% 9.71/9.91  antidomain(multiplication(coantidomain(A),domain(multiplication(codomain(A),B))))
% 9.71/9.91  -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [598]
% 9.71/9.91  coantidomain(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 9.71/9.91                                             domain(sK3_goals_X3)))) addition 
% 9.71/9.91  domain(sK2_goals_X4) -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [599]
% 9.71/9.91  coantidomain(backward_diamond(sK1_goals_X0,multiplication(domain(sK4_goals_X2),
% 9.71/9.91                                             domain(sK3_goals_X3)))) addition 
% 9.71/9.91  domain(sK2_goals_X4) -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [600]
% 9.71/9.91  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(domain(B))))
% 9.71/9.91  -> one collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [601]
% 9.71/9.91  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,
% 9.71/9.91                                                       c(domain(B)))) -> one
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [602]
% 9.71/9.91  multiplication(A,multiplication(B,domain(C))) addition multiplication(A,B) ->
% 9.71/9.91  multiplication(A,B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [603]
% 9.71/9.91  multiplication(multiplication(A,domain(C)),B) addition multiplication(A,B) ->
% 9.71/9.91  multiplication(A,B) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [604]
% 9.71/9.91  multiplication(multiplication(domain(A),B),C) addition multiplication(B,C) ->
% 9.71/9.91  multiplication(B,C) collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [605]
% 9.71/9.91  multiplication(A,multiplication(domain(C),B)) addition multiplication(A,B) ->
% 9.71/9.91  multiplication(A,B) collapsed.
% 9.71/9.91  Rule [621] multiplication(coantidomain(A),domain(codomain(A))) -> zero
% 9.71/9.91  collapsed.
% 9.71/9.91  Rule
% 9.71/9.91  [623]
% 10.07/10.27  multiplication(multiplication(A,domain(B)),domain(B)) ->
% 10.07/10.27  multiplication(A,domain(B)) collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [625]
% 10.07/10.27  antidomain(multiplication(domain(A),domain(multiplication(antidomain(A),B))))
% 10.07/10.27  -> one collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [626]
% 10.07/10.27  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 10.07/10.27                                                                   domain(C))))
% 10.07/10.27  -> zero collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [627]
% 10.07/10.27  multiplication(multiplication(A,multiplication(B,domain(C))),multiplication(
% 10.07/10.27                                                               antidomain(C),X0))
% 10.07/10.27  -> zero collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [628]
% 10.07/10.27  multiplication(multiplication(A,domain(B)),multiplication(multiplication(
% 10.07/10.27                                                            antidomain(B),C),X0))
% 10.07/10.27  -> zero collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [629]
% 10.07/10.27  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 10.07/10.27                                                                domain(B))),C))
% 10.07/10.27  -> zero collapsed.
% 10.07/10.27  Rule [634] multiplication(multiplication(A,c(c(B))),c(domain(B))) -> zero
% 10.07/10.27  collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [636]
% 10.07/10.27  antidomain(multiplication(c(A),domain(multiplication(domain(A),B)))) -> one
% 10.07/10.27  collapsed.
% 10.07/10.27  Rule [637] multiplication(c(c(A)),multiplication(c(domain(A)),B)) -> zero
% 10.07/10.27  collapsed.
% 10.07/10.27  Rule [641] forward_diamond(c(A),domain(A)) -> zero collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [645]
% 10.07/10.27  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(
% 10.07/10.27                                                                     domain(B)))))
% 10.07/10.27  -> zero collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [646]
% 10.07/10.27  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 10.07/10.27                                                          domain(C),X0)) ->
% 10.07/10.27  zero collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [647]
% 10.07/10.27  multiplication(multiplication(A,c(B)),multiplication(multiplication(domain(B),C),X0))
% 10.07/10.27  -> zero collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [652]
% 10.07/10.27  domain(A) addition multiplication(domain(B),c(A)) ->
% 10.07/10.27  domain(A) addition domain(B) collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [653]
% 10.07/10.27  domain(A) addition multiplication(antidomain(B),c(A)) ->
% 10.07/10.27  domain(A) addition antidomain(B) collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [654]
% 10.07/10.27  domain(A) addition multiplication(codomain(B),c(A)) ->
% 10.07/10.27  codomain(B) addition domain(A) collapsed.
% 10.07/10.27  Rule
% 10.07/10.27  [655]
% 10.07/10.27  domain(A) addition multiplication(coantidomain(B),c(A)) ->
% 10.07/10.27  coantidomain(B) addition domain(A) collapsed.
% 10.07/10.27  Rule [656] domain(domain(A)) -> domain(A) collapsed.
% 10.07/10.27  The conjecture has been reduced. 
% 10.07/10.27  Conjecture is now:
% 10.07/10.27  backward_diamond(multiplication(c(c(sK4_goals_X2)),sK1_goals_X0) addition 
% 10.07/10.27                   multiplication(antidomain(sK4_goals_X2),sK5_goals_X1),
% 10.07/10.27  c(c(sK3_goals_X3))) addition c(c(sK2_goals_X4)) = c(c(sK2_goals_X4))
% 10.07/10.27  
% 10.07/10.27  Current number of equations to process: 2553
% 10.07/10.27  Current number of ordered equations: 0
% 10.07/10.27  Current number of rules: 367
% 10.07/10.27  New rule produced : [658] c(c(c(X0))) -> c(X0)
% 10.07/10.27  Current number of equations to process: 2547
% 10.07/10.27  Current number of ordered equations: 5
% 10.07/10.27  Current number of rules: 368
% 10.07/10.27  New rule produced : [659] c(c(X0)) addition antidomain(X0) -> one
% 10.07/10.27  Current number of equations to process: 2547
% 10.07/10.27  Current number of ordered equations: 4
% 10.07/10.27  Current number of rules: 369
% 10.07/10.27  New rule produced :
% 10.07/10.27  [660] c(c(forward_diamond(X0,c(c(X1))))) -> forward_diamond(X0,X1)
% 10.07/10.27  Current number of equations to process: 2547
% 10.07/10.27  Current number of ordered equations: 3
% 10.07/10.27  Current number of rules: 370
% 10.07/10.27  New rule produced :
% 10.07/10.27  [661]
% 10.07/10.27  backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 10.07/10.27                                c(c(sK3_goals_X3)))) addition c(c(sK2_goals_X4))
% 10.07/10.27  -> c(c(sK2_goals_X4))
% 10.07/10.27  Current number of equations to process: 2547
% 10.07/10.27  Current number of ordered equations: 2
% 10.07/10.27  Current number of rules: 371
% 10.07/10.27  New rule produced :
% 10.07/10.27  [662]
% 10.07/10.27  antidomain(multiplication(X0,c(c(X1)))) addition antidomain(multiplication(X0,X1))
% 10.07/10.27  -> antidomain(multiplication(X0,c(c(X1))))
% 10.07/10.27  Current number of equations to process: 2547
% 10.07/10.27  Current number of ordered equations: 1
% 10.07/10.27  Current number of rules: 372
% 10.07/10.27  New rule produced :
% 10.07/10.27  [663]
% 10.07/10.27  backward_diamond(sK1_goals_X0,multiplication(c(c(sK4_goals_X2)),c(c(sK3_goals_X3)))) addition 
% 10.07/10.27  c(c(sK2_goals_X4)) -> c(c(sK2_goals_X4))
% 10.07/10.27  Current number of equations to process: 2547
% 10.07/10.27  Current number of ordered equations: 0
% 10.07/10.27  Current number of rules: 373
% 10.07/10.27  New rule produced : [664] multiplication(c(c(A)),c(A)) -> zero
% 10.07/10.27  Current number of equations to process: 2545
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 374
% 10.15/10.35  New rule produced : [665] multiplication(c(c(A)),A) -> A
% 10.15/10.35  Current number of equations to process: 2544
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 375
% 10.15/10.35  New rule produced : [666] forward_diamond(c(c(A)),antidomain(A)) -> zero
% 10.15/10.35  Current number of equations to process: 2543
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 376
% 10.15/10.35  New rule produced : [667] multiplication(c(c(A)),antidomain(A)) -> zero
% 10.15/10.35  Current number of equations to process: 2542
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 377
% 10.15/10.35  New rule produced : [668] multiplication(c(A),c(c(A))) -> zero
% 10.15/10.35  Current number of equations to process: 2541
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 378
% 10.15/10.35  New rule produced : [669] c(c(A)) addition c(A) -> one
% 10.15/10.35  Current number of equations to process: 2540
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 379
% 10.15/10.35  New rule produced : [670] forward_diamond(c(A),c(c(A))) -> zero
% 10.15/10.35  Current number of equations to process: 2539
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 380
% 10.15/10.35  New rule produced :
% 10.15/10.35  [671] antidomain(multiplication(A,c(c(coantidomain(A))))) -> one
% 10.15/10.35  Current number of equations to process: 2536
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 381
% 10.15/10.35  New rule produced :
% 10.15/10.35  [672] antidomain(multiplication(antidomain(A),c(c(A)))) -> one
% 10.15/10.35  Current number of equations to process: 2535
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 382
% 10.15/10.35  New rule produced :
% 10.15/10.35  [673] coantidomain(backward_diamond(antidomain(A),c(c(A)))) -> one
% 10.15/10.35  Current number of equations to process: 2534
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 383
% 10.15/10.35  New rule produced : [674] coantidomain(backward_diamond(c(c(A)),c(A))) -> one
% 10.15/10.35  Current number of equations to process: 2533
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 384
% 10.15/10.35  New rule produced :
% 10.15/10.35  [675] multiplication(multiplication(A,c(c(B))),c(B)) -> zero
% 10.15/10.35  Current number of equations to process: 2532
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 385
% 10.15/10.35  New rule produced :
% 10.15/10.35  [676] multiplication(c(c(A)),multiplication(c(A),B)) -> zero
% 10.15/10.35  Current number of equations to process: 2531
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 386
% 10.15/10.35  New rule produced : [677] leq(multiplication(c(c(A)),B),B) -> true
% 10.15/10.35  Current number of equations to process: 2530
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 387
% 10.15/10.35  New rule produced :
% 10.15/10.35  [678] multiplication(coantidomain(A),c(c(codomain(A)))) -> zero
% 10.15/10.35  Current number of equations to process: 2527
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 388
% 10.15/10.35  New rule produced :
% 10.15/10.35  [679]
% 10.15/10.35  antidomain(forward_diamond(A,c(c(B)))) -> antidomain(forward_diamond(A,B))
% 10.15/10.35  Current number of equations to process: 2526
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 389
% 10.15/10.35  New rule produced :
% 10.15/10.35  [680]
% 10.15/10.35  c(c(forward_diamond(A,antidomain(B)))) -> forward_diamond(A,antidomain(B))
% 10.15/10.35  Current number of equations to process: 2525
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 390
% 10.15/10.35  New rule produced :
% 10.15/10.35  [681] multiplication(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 10.15/10.35  Current number of equations to process: 2524
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 391
% 10.15/10.35  New rule produced :
% 10.15/10.35  [682] multiplication(c(c(A)),multiplication(antidomain(A),B)) -> zero
% 10.15/10.35  Current number of equations to process: 2523
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 392
% 10.15/10.35  New rule produced :
% 10.15/10.35  [683] multiplication(multiplication(A,c(B)),c(c(B))) -> zero
% 10.15/10.35  Current number of equations to process: 2522
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 393
% 10.15/10.35  New rule produced :
% 10.15/10.35  [684] multiplication(c(A),multiplication(c(c(A)),B)) -> zero
% 10.15/10.35  Current number of equations to process: 2521
% 10.15/10.35  Current number of ordered equations: 0
% 10.15/10.35  Current number of rules: 394
% 10.15/10.35  New rule produced :
% 10.15/10.35  [685]
% 10.15/10.35  multiplication(c(c(A)),coantidomain(antidomain(A))) ->
% 10.15/10.35  coantidomain(antidomain(A))
% 10.15/10.35  Current number of equations to process: 2520
% 10.15/10.35  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 395
% 10.24/10.44  New rule produced :
% 10.24/10.44  [686] multiplication(c(c(A)),multiplication(A,B)) -> multiplication(A,B)
% 10.24/10.44  Current number of equations to process: 2519
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 396
% 10.24/10.44  New rule produced :
% 10.24/10.44  [687] antidomain(multiplication(codomain(A),c(c(coantidomain(A))))) -> one
% 10.24/10.44  Current number of equations to process: 2516
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 397
% 10.24/10.44  New rule produced : [688] one addition multiplication(c(A),c(c(B))) -> one
% 10.24/10.44  Current number of equations to process: 2515
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 398
% 10.24/10.44  New rule produced : [689] one addition multiplication(c(c(A)),c(B)) -> one
% 10.24/10.44  Current number of equations to process: 2514
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 399
% 10.24/10.44  New rule produced :
% 10.24/10.44  [690]
% 10.24/10.44  multiplication(antidomain(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 10.24/10.44  Current number of equations to process: 2513
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 400
% 10.24/10.44  New rule produced :
% 10.24/10.44  [691]
% 10.24/10.44  antidomain(multiplication(multiplication(A,B),c(c(coantidomain(B))))) -> one
% 10.24/10.44  Current number of equations to process: 2511
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 401
% 10.24/10.44  New rule produced :
% 10.24/10.44  [692]
% 10.24/10.44  antidomain(multiplication(multiplication(A,antidomain(B)),c(c(B)))) -> one
% 10.24/10.44  Current number of equations to process: 2510
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 402
% 10.24/10.44  New rule produced :
% 10.24/10.44  [693]
% 10.24/10.44  antidomain(multiplication(A,c(c(multiplication(coantidomain(A),B))))) -> one
% 10.24/10.44  Current number of equations to process: 2509
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 403
% 10.24/10.44  New rule produced :
% 10.24/10.44  [694]
% 10.24/10.44  antidomain(multiplication(antidomain(A),c(c(multiplication(A,B))))) -> one
% 10.24/10.44  Current number of equations to process: 2508
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 404
% 10.24/10.44  New rule produced : [695] leq(multiplication(c(c(A)),B),B addition C) -> true
% 10.24/10.44  Current number of equations to process: 2507
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 405
% 10.24/10.44  New rule produced :
% 10.24/10.44  [696]
% 10.24/10.44  multiplication(multiplication(A,c(c(B))),multiplication(c(B),C)) -> zero
% 10.24/10.44  Current number of equations to process: 2506
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 406
% 10.24/10.44  New rule produced :
% 10.24/10.44  [697] one addition multiplication(forward_diamond(A,B),c(c(C))) -> one
% 10.24/10.44  Current number of equations to process: 2504
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 407
% 10.24/10.44  New rule produced :
% 10.24/10.44  [698] one addition multiplication(c(c(A)),forward_diamond(B,C)) -> one
% 10.24/10.44  Current number of equations to process: 2503
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 408
% 10.24/10.44  New rule produced :
% 10.24/10.44  [699] one addition multiplication(backward_diamond(A,B),c(c(C))) -> one
% 10.24/10.44  Current number of equations to process: 2502
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 409
% 10.24/10.44  New rule produced :
% 10.24/10.44  [700] one addition multiplication(c(c(A)),backward_diamond(B,C)) -> one
% 10.24/10.44  Current number of equations to process: 2501
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 410
% 10.24/10.44  New rule produced :
% 10.24/10.44  [701] c(A) addition multiplication(antidomain(A),c(c(B))) -> c(A)
% 10.24/10.44  Current number of equations to process: 2498
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 411
% 10.24/10.44  New rule produced :
% 10.24/10.44  [702] c(A) addition multiplication(c(c(B)),antidomain(A)) -> c(A)
% 10.24/10.44  Current number of equations to process: 2497
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 412
% 10.24/10.44  New rule produced :
% 10.24/10.44  [703]
% 10.24/10.44  c(c(forward_diamond(A,multiplication(B,c(c(C)))))) ->
% 10.24/10.44  forward_diamond(A,multiplication(B,c(c(C))))
% 10.24/10.44  Current number of equations to process: 2496
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 413
% 10.24/10.44  New rule produced :
% 10.24/10.44  [704]
% 10.24/10.44  forward_diamond(A,B) addition antidomain(multiplication(A,c(c(B)))) -> one
% 10.24/10.44  Current number of equations to process: 2495
% 10.24/10.44  Current number of ordered equations: 0
% 10.24/10.44  Current number of rules: 414
% 10.24/10.44  New rule produced :
% 10.24/10.44  [705] multiplication(A,c(c(B))) addition multiplication(A,antidomain(B)) -> A
% 10.30/10.54  Current number of equations to process: 2494
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 415
% 10.30/10.54  New rule produced :
% 10.30/10.54  [706] multiplication(c(c(B)),A) addition multiplication(antidomain(B),A) -> A
% 10.30/10.54  Current number of equations to process: 2493
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 416
% 10.30/10.54  New rule produced :
% 10.30/10.54  [707]
% 10.30/10.54  multiplication(forward_diamond(A,B),antidomain(multiplication(A,c(c(B))))) ->
% 10.30/10.54  zero
% 10.30/10.54  Current number of equations to process: 2492
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 417
% 10.30/10.54  New rule produced :
% 10.30/10.54  [708] multiplication(A,c(c(B))) addition multiplication(A,c(B)) -> A
% 10.30/10.54  Current number of equations to process: 2491
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 418
% 10.30/10.54  New rule produced :
% 10.30/10.54  [709] multiplication(c(c(B)),A) addition multiplication(c(B),A) -> A
% 10.30/10.54  Current number of equations to process: 2490
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 419
% 10.30/10.54  New rule produced :
% 10.30/10.54  [710]
% 10.30/10.54  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,c(c(B))))
% 10.30/10.54  -> zero
% 10.30/10.54  Current number of equations to process: 2489
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 420
% 10.30/10.54  New rule produced :
% 10.30/10.54  [711]
% 10.30/10.54  forward_diamond(multiplication(antidomain(multiplication(A,c(c(B)))),A),B) ->
% 10.30/10.54  zero
% 10.30/10.54  Current number of equations to process: 2488
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 421
% 10.30/10.54  New rule produced :
% 10.30/10.54  [712]
% 10.30/10.54  multiplication(multiplication(A,c(c(B))),multiplication(antidomain(B),C)) ->
% 10.30/10.54  zero
% 10.30/10.54  Current number of equations to process: 2487
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 422
% 10.30/10.54  New rule produced :
% 10.30/10.54  [713]
% 10.30/10.54  multiplication(multiplication(A,c(B)),multiplication(c(c(B)),C)) -> zero
% 10.30/10.54  Current number of equations to process: 2486
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 423
% 10.30/10.54  New rule produced :
% 10.30/10.54  [714] multiplication(multiplication(A,antidomain(B)),c(c(C))) addition A -> A
% 10.30/10.54  Current number of equations to process: 2485
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 424
% 10.30/10.54  New rule produced :
% 10.30/10.54  [715]
% 10.30/10.54  multiplication(multiplication(A,coantidomain(B)),c(c(C))) addition A -> A
% 10.30/10.54  Current number of equations to process: 2483
% 10.30/10.54  Current number of ordered equations: 1
% 10.30/10.54  Current number of rules: 425
% 10.30/10.54  New rule produced :
% 10.30/10.54  [716] multiplication(multiplication(A,codomain(B)),c(c(C))) addition A -> A
% 10.30/10.54  Current number of equations to process: 2483
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 426
% 10.30/10.54  New rule produced :
% 10.30/10.54  [717] multiplication(multiplication(antidomain(A),B),c(c(C))) addition B -> B
% 10.30/10.54  Current number of equations to process: 2482
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 427
% 10.30/10.54  New rule produced :
% 10.30/10.54  [718]
% 10.30/10.54  multiplication(multiplication(coantidomain(A),B),c(c(C))) addition B -> B
% 10.30/10.54  Current number of equations to process: 2480
% 10.30/10.54  Current number of ordered equations: 1
% 10.30/10.54  Current number of rules: 428
% 10.30/10.54  New rule produced :
% 10.30/10.54  [719] multiplication(multiplication(codomain(A),B),c(c(C))) addition B -> B
% 10.30/10.54  Current number of equations to process: 2480
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 429
% 10.30/10.54  New rule produced :
% 10.30/10.54  [720] multiplication(c(c(A)),multiplication(B,antidomain(C))) addition B -> B
% 10.30/10.54  Current number of equations to process: 2479
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 430
% 10.30/10.54  New rule produced :
% 10.30/10.54  [721]
% 10.30/10.54  multiplication(c(c(A)),multiplication(B,coantidomain(C))) addition B -> B
% 10.30/10.54  Current number of equations to process: 2477
% 10.30/10.54  Current number of ordered equations: 1
% 10.30/10.54  Current number of rules: 431
% 10.30/10.54  New rule produced :
% 10.30/10.54  [722] multiplication(c(c(A)),multiplication(B,codomain(C))) addition B -> B
% 10.30/10.54  Current number of equations to process: 2477
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 432
% 10.30/10.54  New rule produced :
% 10.30/10.54  [723] multiplication(c(c(A)),multiplication(antidomain(B),C)) addition C -> C
% 10.30/10.54  Current number of equations to process: 2476
% 10.30/10.54  Current number of ordered equations: 0
% 10.30/10.54  Current number of rules: 433
% 10.30/10.54  New rule produced :
% 10.30/10.54  [724]
% 10.30/10.54  multiplication(c(c(A)),multiplication(coantidomain(B),C)) addition C -> C
% 10.30/10.54  Current number of equations to process: 2474
% 10.30/10.54  Current number of ordered equations: 1
% 10.76/10.96  Current number of rules: 434
% 10.76/10.96  New rule produced :
% 10.76/10.96  [725] multiplication(c(c(A)),multiplication(codomain(B),C)) addition C -> C
% 10.76/10.96  Current number of equations to process: 2474
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 435
% 10.76/10.96  New rule produced :
% 10.76/10.96  [726] multiplication(multiplication(A,c(c(B))),antidomain(C)) addition A -> A
% 10.76/10.96  Current number of equations to process: 2473
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 436
% 10.76/10.96  New rule produced :
% 10.76/10.96  [727] multiplication(multiplication(c(c(A)),B),antidomain(C)) addition B -> B
% 10.76/10.96  Current number of equations to process: 2472
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 437
% 10.76/10.96  New rule produced :
% 10.76/10.96  [728] multiplication(antidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 10.76/10.96  Current number of equations to process: 2471
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 438
% 10.76/10.96  New rule produced :
% 10.76/10.96  [729] multiplication(antidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 10.76/10.96  Current number of equations to process: 2470
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 439
% 10.76/10.96  New rule produced :
% 10.76/10.96  [730] multiplication(multiplication(A,c(c(B))),codomain(C)) addition A -> A
% 10.76/10.96  Current number of equations to process: 2469
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 440
% 10.76/10.96  New rule produced :
% 10.76/10.96  [731] multiplication(multiplication(c(c(A)),B),codomain(C)) addition B -> B
% 10.76/10.96  Current number of equations to process: 2468
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 441
% 10.76/10.96  New rule produced :
% 10.76/10.96  [732] multiplication(codomain(A),multiplication(B,c(c(C)))) addition B -> B
% 10.76/10.96  Current number of equations to process: 2467
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 442
% 10.76/10.96  New rule produced :
% 10.76/10.96  [733] multiplication(codomain(A),multiplication(c(c(B)),C)) addition C -> C
% 10.76/10.96  Current number of equations to process: 2466
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 443
% 10.76/10.96  New rule produced :
% 10.76/10.96  [734]
% 10.76/10.96  multiplication(multiplication(A,c(c(B))),coantidomain(C)) addition A -> A
% 10.76/10.96  Current number of equations to process: 2465
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 444
% 10.76/10.96  New rule produced :
% 10.76/10.96  [735]
% 10.76/10.96  multiplication(multiplication(c(c(A)),B),coantidomain(C)) addition B -> B
% 10.76/10.96  Current number of equations to process: 2464
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 445
% 10.76/10.96  New rule produced :
% 10.76/10.96  [736]
% 10.76/10.96  multiplication(coantidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 10.76/10.96  Current number of equations to process: 2463
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 446
% 10.76/10.96  New rule produced :
% 10.76/10.96  [737]
% 10.76/10.96  multiplication(coantidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 10.76/10.96  Current number of equations to process: 2462
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 447
% 10.76/10.96  New rule produced :
% 10.76/10.96  [738]
% 10.76/10.96  antidomain(multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))))
% 10.76/10.96  -> one
% 10.76/10.96  Current number of equations to process: 2461
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 448
% 10.76/10.96  New rule produced :
% 10.76/10.96  [739]
% 10.76/10.96  antidomain(multiplication(coantidomain(A),c(c(multiplication(codomain(A),B)))))
% 10.76/10.96  -> one
% 10.76/10.96  Current number of equations to process: 2460
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 449
% 10.76/10.96  New rule produced :
% 10.76/10.96  [740]
% 10.76/10.96  c(multiplication(A,multiplication(B,c(c(C))))) ->
% 10.76/10.96  antidomain(forward_diamond(multiplication(A,B),C))
% 10.76/10.96  Current number of equations to process: 2457
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 450
% 10.76/10.96  New rule produced :
% 10.76/10.96  [741]
% 10.76/10.96  c(c(multiplication(A,multiplication(B,c(C))))) ->
% 10.76/10.96  forward_diamond(multiplication(A,B),antidomain(C))
% 10.76/10.96  Current number of equations to process: 2456
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 451
% 10.76/10.96  New rule produced :
% 10.76/10.96  [742]
% 10.76/10.96  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(B),C))
% 10.76/10.96  -> zero
% 10.76/10.96  Current number of equations to process: 2539
% 10.76/10.96  Current number of ordered equations: 0
% 10.76/10.96  Current number of rules: 452
% 10.76/10.96  New rule produced :
% 10.76/10.96  [743]
% 10.76/10.96  c(multiplication(A,multiplication(B,c(C)))) ->
% 10.76/10.96  antidomain(forward_diamond(multiplication(A,B),antidomain(C)))
% 10.76/10.96  Rule
% 11.13/11.37  [740]
% 11.13/11.37  c(multiplication(A,multiplication(B,c(c(C))))) ->
% 11.13/11.37  antidomain(forward_diamond(multiplication(A,B),C)) collapsed.
% 11.13/11.37  Rule
% 11.13/11.37  [741]
% 11.13/11.37  c(c(multiplication(A,multiplication(B,c(C))))) ->
% 11.13/11.37  forward_diamond(multiplication(A,B),antidomain(C)) collapsed.
% 11.13/11.37  Current number of equations to process: 2564
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 451
% 11.13/11.37  New rule produced :
% 11.13/11.37  [744]
% 11.13/11.37  forward_diamond(antidomain(forward_diamond(A,antidomain(B))),multiplication(A,
% 11.13/11.37                                                               c(B))) -> zero
% 11.13/11.37  Current number of equations to process: 2563
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 452
% 11.13/11.37  New rule produced :
% 11.13/11.37  [745]
% 11.13/11.37  c(c(forward_diamond(multiplication(A,B),C))) ->
% 11.13/11.37  forward_diamond(multiplication(A,B),C)
% 11.13/11.37  Current number of equations to process: 2602
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 453
% 11.13/11.37  New rule produced :
% 11.13/11.37  [746] ifeq2(one,antidomain(A),leq(c(c(A)),antidomain(A)),true) -> true
% 11.13/11.37  Current number of equations to process: 2601
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 454
% 11.13/11.37  New rule produced :
% 11.13/11.37  [747]
% 11.13/11.37  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,c(c(B))))) ->
% 11.13/11.37  true
% 11.13/11.37  Current number of equations to process: 2600
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 455
% 11.13/11.37  New rule produced :
% 11.13/11.37  [748] leq(antidomain(A) addition antidomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2643
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 456
% 11.13/11.37  New rule produced : [749] leq(codomain(A) addition antidomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2642
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 457
% 11.13/11.37  New rule produced :
% 11.13/11.37  [750] leq(coantidomain(A) addition antidomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2641
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 458
% 11.13/11.37  New rule produced : [751] leq(c(A) addition antidomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2646
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 459
% 11.13/11.37  New rule produced :
% 11.13/11.37  [752] leq(forward_diamond(A,B) addition antidomain(C),one) -> true
% 11.13/11.37  Current number of equations to process: 2645
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 460
% 11.13/11.37  New rule produced :
% 11.13/11.37  [753] leq(backward_diamond(A,B) addition antidomain(C),one) -> true
% 11.13/11.37  Current number of equations to process: 2644
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 461
% 11.13/11.37  New rule produced : [754] leq(codomain(A) addition codomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2648
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 462
% 11.13/11.37  New rule produced :
% 11.13/11.37  [755] leq(codomain(A) addition coantidomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2647
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 463
% 11.13/11.37  New rule produced : [756] leq(c(A) addition codomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2652
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 464
% 11.13/11.37  New rule produced :
% 11.13/11.37  [757] leq(forward_diamond(A,B) addition codomain(C),one) -> true
% 11.13/11.37  Current number of equations to process: 2651
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 465
% 11.13/11.37  New rule produced :
% 11.13/11.37  [758] leq(backward_diamond(A,B) addition codomain(C),one) -> true
% 11.13/11.37  Current number of equations to process: 2650
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 466
% 11.13/11.37  New rule produced :
% 11.13/11.37  [759] leq(coantidomain(A) addition coantidomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2653
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 467
% 11.13/11.37  New rule produced : [760] leq(c(A) addition coantidomain(B),one) -> true
% 11.13/11.37  Current number of equations to process: 2658
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 468
% 11.13/11.37  New rule produced :
% 11.13/11.37  [761] leq(forward_diamond(A,B) addition coantidomain(C),one) -> true
% 11.13/11.37  Current number of equations to process: 2657
% 11.13/11.37  Current number of ordered equations: 0
% 11.13/11.37  Current number of rules: 469
% 11.13/11.37  New rule produced :
% 11.13/11.37  [762] leq(backward_diamond(A,B) addition coantidomain(C),one) -> true
% 12.42/12.65  Current number of equations to process: 2656
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 470
% 12.42/12.65  New rule produced : [763] leq(c(A) addition c(B),one) -> true
% 12.42/12.65  Current number of equations to process: 2664
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 471
% 12.42/12.65  New rule produced : [764] leq(forward_diamond(A,B) addition c(C),one) -> true
% 12.42/12.65  Current number of equations to process: 2663
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 472
% 12.42/12.65  New rule produced :
% 12.42/12.65  [765] leq(backward_diamond(A,B) addition c(C),one) -> true
% 12.42/12.65  Current number of equations to process: 2662
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 473
% 12.42/12.65  New rule produced :
% 12.42/12.65  [766] leq(coantidomain(A) addition antidomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2666
% 12.42/12.65  Current number of ordered equations: 1
% 12.42/12.65  Current number of rules: 474
% 12.42/12.65  New rule produced :
% 12.42/12.65  [767] leq(codomain(A) addition antidomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2666
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 475
% 12.42/12.65  New rule produced :
% 12.42/12.65  [768] leq(antidomain(A) addition antidomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2669
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 476
% 12.42/12.65  New rule produced :
% 12.42/12.65  [769] leq(c(A) addition antidomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2716
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 477
% 12.42/12.65  New rule produced :
% 12.42/12.65  [770] leq(codomain(A) addition coantidomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2724
% 12.42/12.65  Current number of ordered equations: 1
% 12.42/12.65  Current number of rules: 478
% 12.42/12.65  New rule produced :
% 12.42/12.65  [771] leq(codomain(A) addition codomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2724
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 479
% 12.42/12.65  New rule produced :
% 12.42/12.65  [772]
% 12.42/12.65  leq(forward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 12.42/12.65  Current number of equations to process: 2723
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 480
% 12.42/12.65  New rule produced :
% 12.42/12.65  [773]
% 12.42/12.65  leq(backward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 12.42/12.65  Current number of equations to process: 2722
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 481
% 12.42/12.65  New rule produced :
% 12.42/12.65  [774] leq(c(A) addition codomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2772
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 482
% 12.42/12.65  New rule produced :
% 12.42/12.65  [775] leq(coantidomain(A) addition coantidomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2780
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 483
% 12.42/12.65  New rule produced :
% 12.42/12.65  [776] leq(forward_diamond(A,B) addition codomain(C),one addition X0) -> true
% 12.42/12.65  Current number of equations to process: 2779
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 484
% 12.42/12.65  New rule produced :
% 12.42/12.65  [777] leq(backward_diamond(A,B) addition codomain(C),one addition X0) -> true
% 12.42/12.65  Current number of equations to process: 2778
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 485
% 12.42/12.65  New rule produced :
% 12.42/12.65  [778] leq(c(A) addition coantidomain(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2828
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 486
% 12.42/12.65  New rule produced :
% 12.42/12.65  [779]
% 12.42/12.65  leq(forward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 12.42/12.65  Current number of equations to process: 2835
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 487
% 12.42/12.65  New rule produced :
% 12.42/12.65  [780]
% 12.42/12.65  leq(backward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 12.42/12.65  Current number of equations to process: 2834
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 488
% 12.42/12.65  New rule produced : [781] leq(c(A) addition c(B),one addition C) -> true
% 12.42/12.65  Current number of equations to process: 2884
% 12.42/12.65  Current number of ordered equations: 0
% 12.42/12.65  Current number of rules: 489
% 12.42/12.65  New rule produced :
% 12.42/12.65  [782] leq(forward_diamond(A,B) addition c(C),one addition X0) -> true
% 12.42/12.65  Current number of equations to process: 2890
% 12.42/12.65  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 490
% 12.95/13.15  New rule produced :
% 12.95/13.15  [783] leq(backward_diamond(A,B) addition c(C),one addition X0) -> true
% 12.95/13.15  Current number of equations to process: 2889
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 491
% 12.95/13.15  New rule produced :
% 12.95/13.15  [784] leq(forward_diamond(A,B) addition forward_diamond(C,X0),one) -> true
% 12.95/13.15  Current number of equations to process: 2893
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 492
% 12.95/13.15  New rule produced :
% 12.95/13.15  [785] leq(backward_diamond(A,B) addition forward_diamond(C,X0),one) -> true
% 12.95/13.15  Current number of equations to process: 2892
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 493
% 12.95/13.15  New rule produced : [786] ifeq2(one,c(A),leq(c(c(A)),c(A)),true) -> true
% 12.95/13.15  Current number of equations to process: 2979
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 494
% 12.95/13.15  New rule produced :
% 12.95/13.15  [787]
% 12.95/13.15  multiplication(c(c(A)),multiplication(coantidomain(antidomain(A)),B)) ->
% 12.95/13.15  multiplication(coantidomain(antidomain(A)),B)
% 12.95/13.15  Current number of equations to process: 2978
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 495
% 12.95/13.15  New rule produced :
% 12.95/13.15  [788] leq(multiplication(c(c(A)),B) addition C,B addition C) -> true
% 12.95/13.15  Current number of equations to process: 2977
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 496
% 12.95/13.15  New rule produced :
% 12.95/13.15  [789]
% 12.95/13.15  antidomain(B) addition multiplication(antidomain(A),c(c(B))) ->
% 12.95/13.15  antidomain(A) addition antidomain(B)
% 12.95/13.15  Current number of equations to process: 2976
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 497
% 12.95/13.15  New rule produced :
% 12.95/13.15  [790]
% 12.95/13.15  antidomain(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 12.95/13.15  coantidomain(B) addition antidomain(A)
% 12.95/13.15  Current number of equations to process: 2975
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 498
% 12.95/13.15  New rule produced :
% 12.95/13.15  [791]
% 12.95/13.15  antidomain(B) addition multiplication(coantidomain(A),c(c(B))) ->
% 12.95/13.15  coantidomain(A) addition antidomain(B)
% 12.95/13.15  Current number of equations to process: 2974
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 499
% 12.95/13.15  New rule produced :
% 12.95/13.15  [792] multiplication(multiplication(A,c(c(B))),c(c(C))) addition A -> A
% 12.95/13.15  Current number of equations to process: 2973
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 500
% 12.95/13.15  New rule produced :
% 12.95/13.15  [793] multiplication(multiplication(c(c(A)),B),c(c(C))) addition B -> B
% 12.95/13.15  Current number of equations to process: 2972
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 501
% 12.95/13.15  New rule produced :
% 12.95/13.15  [794] multiplication(c(c(A)),multiplication(B,c(c(C)))) addition B -> B
% 12.95/13.15  Current number of equations to process: 2971
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 502
% 12.95/13.15  New rule produced :
% 12.95/13.15  [795] multiplication(c(c(A)),multiplication(c(c(B)),C)) addition C -> C
% 12.95/13.15  Current number of equations to process: 2970
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 503
% 12.95/13.15  New rule produced :
% 12.95/13.15  [796]
% 12.95/13.15  antidomain(A) addition multiplication(c(c(A)),antidomain(B)) ->
% 12.95/13.15  antidomain(A) addition antidomain(B)
% 12.95/13.15  Current number of equations to process: 2969
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 504
% 12.95/13.15  New rule produced :
% 12.95/13.15  [797]
% 12.95/13.15  antidomain(B) addition multiplication(codomain(A),c(c(B))) ->
% 12.95/13.15  codomain(A) addition antidomain(B)
% 12.95/13.15  Current number of equations to process: 2968
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 505
% 12.95/13.15  New rule produced :
% 12.95/13.15  [798]
% 12.95/13.15  antidomain(B) addition multiplication(c(c(B)),codomain(A)) ->
% 12.95/13.15  codomain(A) addition antidomain(B)
% 12.95/13.15  Current number of equations to process: 2967
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 506
% 12.95/13.15  New rule produced :
% 12.95/13.15  [799]
% 12.95/13.15  multiplication(multiplication(A,c(c(B))),c(c(B))) ->
% 12.95/13.15  multiplication(A,c(c(B)))
% 12.95/13.15  Current number of equations to process: 2966
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 507
% 12.95/13.15  New rule produced :
% 12.95/13.15  [800]
% 12.95/13.15  antidomain(multiplication(c(c(A)),c(c(multiplication(antidomain(A),B))))) ->
% 12.95/13.15  one
% 12.95/13.15  Current number of equations to process: 2965
% 12.95/13.15  Current number of ordered equations: 0
% 12.95/13.15  Current number of rules: 508
% 12.95/13.15  New rule produced :
% 12.95/13.15  [801] antidomain(multiplication(c(A),c(c(multiplication(c(c(A)),B))))) -> one
% 13.02/13.26  Current number of equations to process: 2964
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 509
% 13.02/13.26  New rule produced :
% 13.02/13.26  [802]
% 13.02/13.26  leq(antidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2962
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 510
% 13.02/13.26  New rule produced :
% 13.02/13.26  [803]
% 13.02/13.26  leq(codomain(A) addition antidomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2961
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 511
% 13.02/13.26  New rule produced :
% 13.02/13.26  [804]
% 13.02/13.26  leq(coantidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2960
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 512
% 13.02/13.26  New rule produced :
% 13.02/13.26  [805] leq(c(A) addition antidomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2959
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 513
% 13.02/13.26  New rule produced :
% 13.02/13.26  [806] leq(codomain(A) addition codomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2957
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 514
% 13.02/13.26  New rule produced :
% 13.02/13.26  [807]
% 13.02/13.26  leq(codomain(A) addition coantidomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2956
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 515
% 13.02/13.26  New rule produced :
% 13.02/13.26  [808] leq(c(A) addition codomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2955
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 516
% 13.02/13.26  New rule produced :
% 13.02/13.26  [809]
% 13.02/13.26  leq(coantidomain(A) addition coantidomain(B) addition C,one addition C) ->
% 13.02/13.26  true
% 13.02/13.26  Current number of equations to process: 2952
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 517
% 13.02/13.26  New rule produced :
% 13.02/13.26  [810] leq(c(A) addition coantidomain(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2951
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 518
% 13.02/13.26  New rule produced :
% 13.02/13.26  [811] leq(c(A) addition c(B) addition C,one addition C) -> true
% 13.02/13.26  Current number of equations to process: 2947
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 519
% 13.02/13.26  New rule produced :
% 13.02/13.26  [812]
% 13.02/13.26  leq(antidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 13.02/13.26  true
% 13.02/13.26  Current number of equations to process: 2943
% 13.02/13.26  Current number of ordered equations: 1
% 13.02/13.26  Current number of rules: 520
% 13.02/13.26  New rule produced :
% 13.02/13.26  [813]
% 13.02/13.26  leq(antidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 13.02/13.26  -> true
% 13.02/13.26  Current number of equations to process: 2943
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 521
% 13.02/13.26  New rule produced :
% 13.02/13.26  [814]
% 13.02/13.26  leq(antidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 13.02/13.26  true
% 13.02/13.26  Current number of equations to process: 2941
% 13.02/13.26  Current number of ordered equations: 1
% 13.02/13.26  Current number of rules: 522
% 13.02/13.26  New rule produced :
% 13.02/13.26  [815]
% 13.02/13.26  leq(antidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 13.02/13.26  -> true
% 13.02/13.26  Current number of equations to process: 2941
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 523
% 13.02/13.26  New rule produced :
% 13.02/13.26  [816]
% 13.02/13.26  leq(antidomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 13.02/13.26  true
% 13.02/13.26  Current number of equations to process: 2939
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 524
% 13.02/13.26  New rule produced :
% 13.02/13.26  [817]
% 13.02/13.26  leq(antidomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 13.02/13.26  true
% 13.02/13.26  Current number of equations to process: 2938
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 525
% 13.02/13.26  New rule produced :
% 13.02/13.26  [818]
% 13.02/13.26  leq(codomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 13.02/13.26  true
% 13.02/13.26  Current number of equations to process: 2930
% 13.02/13.26  Current number of ordered equations: 1
% 13.02/13.26  Current number of rules: 526
% 13.02/13.26  New rule produced :
% 13.02/13.26  [819]
% 13.02/13.26  leq(codomain(A) addition multiplication(B,coantidomain(C)),one addition B) ->
% 13.02/13.26  true
% 13.02/13.26  Current number of equations to process: 2930
% 13.02/13.26  Current number of ordered equations: 0
% 13.02/13.26  Current number of rules: 527
% 13.02/13.26  New rule produced :
% 13.02/13.26  [820]
% 13.02/13.26  leq(codomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 13.61/13.81  true
% 13.61/13.81  Current number of equations to process: 2928
% 13.61/13.81  Current number of ordered equations: 1
% 13.61/13.81  Current number of rules: 528
% 13.61/13.81  New rule produced :
% 13.61/13.81  [821]
% 13.61/13.81  leq(codomain(A) addition multiplication(coantidomain(B),C),one addition C) ->
% 13.61/13.81  true
% 13.61/13.81  Current number of equations to process: 2928
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 529
% 13.61/13.81  New rule produced :
% 13.61/13.81  [822]
% 13.61/13.81  leq(codomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 13.61/13.81  true
% 13.61/13.81  Current number of equations to process: 2926
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 530
% 13.61/13.81  New rule produced :
% 13.61/13.81  [823]
% 13.61/13.81  leq(codomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 13.61/13.81  true
% 13.61/13.81  Current number of equations to process: 2925
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 531
% 13.61/13.81  New rule produced :
% 13.61/13.81  [824]
% 13.61/13.81  leq(coantidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 13.61/13.81  true
% 13.61/13.81  Current number of equations to process: 2917
% 13.61/13.81  Current number of ordered equations: 1
% 13.61/13.81  Current number of rules: 532
% 13.61/13.81  New rule produced :
% 13.61/13.81  [825]
% 13.61/13.81  leq(coantidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 13.61/13.81  -> true
% 13.61/13.81  Current number of equations to process: 2917
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 533
% 13.61/13.81  New rule produced :
% 13.61/13.81  [826]
% 13.61/13.81  leq(coantidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 13.61/13.81  true
% 13.61/13.81  Current number of equations to process: 2915
% 13.61/13.81  Current number of ordered equations: 1
% 13.61/13.81  Current number of rules: 534
% 13.61/13.81  New rule produced :
% 13.61/13.81  [827]
% 13.61/13.81  leq(coantidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 13.61/13.81  -> true
% 13.61/13.81  Current number of equations to process: 2915
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 535
% 13.61/13.81  New rule produced :
% 13.61/13.81  [828]
% 13.61/13.81  leq(coantidomain(A) addition multiplication(B,antidomain(C)),one addition B)
% 13.61/13.81  -> true
% 13.61/13.81  Current number of equations to process: 2913
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 536
% 13.61/13.81  New rule produced :
% 13.61/13.81  [829]
% 13.61/13.81  leq(coantidomain(A) addition multiplication(antidomain(B),C),one addition C)
% 13.61/13.81  -> true
% 13.61/13.81  Current number of equations to process: 2912
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 537
% 13.61/13.81  New rule produced :
% 13.61/13.81  [830] leq(c(A) addition multiplication(B,codomain(C)),one addition B) -> true
% 13.61/13.81  Current number of equations to process: 2904
% 13.61/13.81  Current number of ordered equations: 1
% 13.61/13.81  Current number of rules: 538
% 13.61/13.81  New rule produced :
% 13.61/13.81  [831]
% 13.61/13.81  leq(c(A) addition multiplication(B,coantidomain(C)),one addition B) -> true
% 13.61/13.81  Current number of equations to process: 2904
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 539
% 13.61/13.81  New rule produced :
% 13.61/13.81  [832] leq(c(A) addition multiplication(codomain(B),C),one addition C) -> true
% 13.61/13.81  Current number of equations to process: 2902
% 13.61/13.81  Current number of ordered equations: 1
% 13.61/13.81  Current number of rules: 540
% 13.61/13.81  New rule produced :
% 13.61/13.81  [833]
% 13.61/13.81  leq(c(A) addition multiplication(coantidomain(B),C),one addition C) -> true
% 13.61/13.81  Current number of equations to process: 2902
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 541
% 13.61/13.81  New rule produced :
% 13.61/13.81  [834]
% 13.61/13.81  leq(c(A) addition multiplication(B,antidomain(C)),one addition B) -> true
% 13.61/13.81  Current number of equations to process: 2900
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 542
% 13.61/13.81  New rule produced :
% 13.61/13.81  [835]
% 13.61/13.81  leq(c(A) addition multiplication(antidomain(B),C),one addition C) -> true
% 13.61/13.81  Current number of equations to process: 2899
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 543
% 13.61/13.81  New rule produced :
% 13.61/13.81  [836]
% 13.61/13.81  ifeq(leq(c(c(A)),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 13.61/13.81  Current number of equations to process: 2894
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 544
% 13.61/13.81  New rule produced :
% 13.61/13.81  [837] leq(backward_diamond(A,B) addition backward_diamond(C,X0),one) -> true
% 13.61/13.81  Current number of equations to process: 2936
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 545
% 13.61/13.81  New rule produced :
% 13.61/13.81  [838]
% 13.61/13.81  leq(forward_diamond(A,B) addition forward_diamond(C,X0),one addition X1) ->
% 13.61/13.81  true
% 13.61/13.81  Current number of equations to process: 2958
% 13.61/13.81  Current number of ordered equations: 0
% 13.61/13.81  Current number of rules: 546
% 13.61/13.81  New rule produced :
% 13.61/13.81  [839]
% 13.61/13.81  leq(backward_diamond(A,B) addition forward_diamond(C,X0),one addition X1) ->
% 14.07/14.30  true
% 14.07/14.30  Current number of equations to process: 2957
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 547
% 14.07/14.30  New rule produced :
% 14.07/14.30  [840] forward_diamond(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 14.07/14.30  Current number of equations to process: 2995
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 548
% 14.07/14.30  New rule produced : [841] multiplication(c(A),A) -> zero
% 14.07/14.30  Rule [664] multiplication(c(c(A)),c(A)) -> zero collapsed.
% 14.07/14.30  Current number of equations to process: 2997
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 548
% 14.07/14.30  New rule produced :
% 14.07/14.30  [842] multiplication(c(A),coantidomain(antidomain(A))) -> zero
% 14.07/14.30  Current number of equations to process: 2996
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 549
% 14.07/14.30  New rule produced :
% 14.07/14.30  [843]
% 14.07/14.30  multiplication(c(A),multiplication(antidomain(A),B)) ->
% 14.07/14.30  multiplication(c(A),B)
% 14.07/14.30  Current number of equations to process: 3000
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 550
% 14.07/14.30  New rule produced : [844] multiplication(c(A),multiplication(A,B)) -> zero
% 14.07/14.30  Rule [676] multiplication(c(c(A)),multiplication(c(A),B)) -> zero collapsed.
% 14.07/14.30  Current number of equations to process: 3003
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 550
% 14.07/14.30  New rule produced :
% 14.07/14.30  [845]
% 14.07/14.30  multiplication(c(A),multiplication(coantidomain(antidomain(A)),B)) -> zero
% 14.07/14.30  Current number of equations to process: 3003
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 551
% 14.07/14.30  New rule produced :
% 14.07/14.30  [846] leq(multiplication(codomain(A),antidomain(B)),one) -> true
% 14.07/14.30  Current number of equations to process: 3016
% 14.07/14.30  Current number of ordered equations: 1
% 14.07/14.30  Current number of rules: 552
% 14.07/14.30  New rule produced :
% 14.07/14.30  [847] leq(multiplication(coantidomain(A),antidomain(B)),one) -> true
% 14.07/14.30  Current number of equations to process: 3016
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 553
% 14.07/14.30  New rule produced :
% 14.07/14.30  [848] leq(multiplication(codomain(A),antidomain(B)),one addition C) -> true
% 14.07/14.30  Current number of equations to process: 3015
% 14.07/14.30  Current number of ordered equations: 1
% 14.07/14.30  Current number of rules: 554
% 14.07/14.30  New rule produced :
% 14.07/14.30  [849]
% 14.07/14.30  leq(multiplication(coantidomain(A),antidomain(B)),one addition C) -> true
% 14.07/14.30  Current number of equations to process: 3015
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 555
% 14.07/14.30  New rule produced :
% 14.07/14.30  [850] leq(multiplication(antidomain(A),antidomain(B)),one) -> true
% 14.07/14.30  Current number of equations to process: 3016
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 556
% 14.07/14.30  New rule produced :
% 14.07/14.30  [851] leq(multiplication(antidomain(A),antidomain(B)),one addition C) -> true
% 14.07/14.30  Current number of equations to process: 3027
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 557
% 14.07/14.30  New rule produced :
% 14.07/14.30  [852]
% 14.07/14.30  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A) -> true
% 14.07/14.30  Current number of equations to process: 3025
% 14.07/14.30  Current number of ordered equations: 1
% 14.07/14.30  Current number of rules: 558
% 14.07/14.30  New rule produced :
% 14.07/14.30  [853]
% 14.07/14.30  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A) ->
% 14.07/14.30  true
% 14.07/14.30  Current number of equations to process: 3025
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 559
% 14.07/14.30  New rule produced :
% 14.07/14.30  [854]
% 14.07/14.30  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B) -> true
% 14.07/14.30  Current number of equations to process: 3023
% 14.07/14.30  Current number of ordered equations: 1
% 14.07/14.30  Current number of rules: 560
% 14.07/14.30  New rule produced :
% 14.07/14.30  [855]
% 14.07/14.30  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B) ->
% 14.07/14.30  true
% 14.07/14.30  Current number of equations to process: 3023
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 561
% 14.07/14.30  New rule produced : [856] leq(multiplication(c(A),antidomain(B)),one) -> true
% 14.07/14.30  Current number of equations to process: 3038
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 562
% 14.07/14.30  New rule produced :
% 14.07/14.30  [857] leq(multiplication(antidomain(A),antidomain(B)),c(A)) -> true
% 14.07/14.30  Current number of equations to process: 3037
% 14.07/14.30  Current number of ordered equations: 0
% 14.07/14.30  Current number of rules: 563
% 14.07/14.30  New rule produced :
% 14.07/14.30  [858] leq(multiplication(forward_diamond(A,B),antidomain(C)),one) -> true
% 14.07/14.30  Current number of equations to process: 3036
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 564
% 14.32/14.51  New rule produced :
% 14.32/14.51  [859] leq(multiplication(backward_diamond(A,B),antidomain(C)),one) -> true
% 14.32/14.51  Current number of equations to process: 3035
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 565
% 14.32/14.51  New rule produced :
% 14.32/14.51  [860] leq(multiplication(c(A),antidomain(B)),one addition C) -> true
% 14.32/14.51  Current number of equations to process: 3037
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 566
% 14.32/14.51  New rule produced :
% 14.32/14.51  [861]
% 14.32/14.51  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A) -> true
% 14.32/14.51  Current number of equations to process: 3036
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 567
% 14.32/14.51  New rule produced :
% 14.32/14.51  [862]
% 14.32/14.51  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B) -> true
% 14.32/14.51  Current number of equations to process: 3035
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 568
% 14.32/14.51  New rule produced :
% 14.32/14.51  [863] backward_diamond(codomain(codomain(A)),A) -> codomain(codomain(A))
% 14.32/14.51  Current number of equations to process: 3037
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 569
% 14.32/14.51  New rule produced :
% 14.32/14.51  [864] multiplication(A,multiplication(codomain(A),B)) -> multiplication(A,B)
% 14.32/14.51  Current number of equations to process: 3037
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 570
% 14.32/14.51  Rule [39] backward_diamond(one,A) -> codomain(codomain(A)) is composed into 
% 14.32/14.51  [39] backward_diamond(one,A) -> codomain(A)
% 14.32/14.51  New rule produced : [865] codomain(codomain(A)) -> codomain(A)
% 14.32/14.51  Rule [170] backward_diamond(codomain(codomain(A)),coantidomain(A)) -> zero
% 14.32/14.51  collapsed.
% 14.32/14.51  Rule
% 14.32/14.51  [382] codomain(codomain(A)) addition codomain(A) -> codomain(codomain(A))
% 14.32/14.51  collapsed.
% 14.32/14.51  Rule [423] multiplication(coantidomain(A),codomain(codomain(A))) -> zero
% 14.32/14.51  collapsed.
% 14.32/14.51  Rule [424] codomain(codomain(A)) addition coantidomain(A) -> one collapsed.
% 14.32/14.51  Rule [439] multiplication(codomain(codomain(A)),coantidomain(A)) -> zero
% 14.32/14.51  collapsed.
% 14.32/14.51  Rule
% 14.32/14.51  [566]
% 14.32/14.51  multiplication(A,codomain(codomain(B))) addition multiplication(A,coantidomain(B))
% 14.32/14.51  -> A collapsed.
% 14.32/14.51  Rule
% 14.32/14.51  [567]
% 14.32/14.51  multiplication(codomain(codomain(A)),B) addition multiplication(coantidomain(A),B)
% 14.32/14.51  -> B collapsed.
% 14.32/14.51  Rule
% 14.32/14.51  [590]
% 14.32/14.51  multiplication(multiplication(A,coantidomain(B)),codomain(codomain(B))) ->
% 14.32/14.51  zero collapsed.
% 14.32/14.51  Rule
% 14.32/14.51  [594]
% 14.32/14.51  multiplication(coantidomain(A),multiplication(codomain(codomain(A)),B)) ->
% 14.32/14.51  zero collapsed.
% 14.32/14.51  Rule
% 14.32/14.51  [639]
% 14.32/14.51  backward_diamond(codomain(codomain(codomain(A))),coantidomain(A)) -> zero
% 14.32/14.51  collapsed.
% 14.32/14.51  Rule [863] backward_diamond(codomain(codomain(A)),A) -> codomain(codomain(A))
% 14.32/14.51  collapsed.
% 14.32/14.51  Current number of equations to process: 3044
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 560
% 14.32/14.51  New rule produced : [866] backward_diamond(codomain(A),A) -> codomain(A)
% 14.32/14.51  Current number of equations to process: 3043
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 561
% 14.32/14.51  New rule produced :
% 14.32/14.51  [867] backward_diamond(codomain(A),coantidomain(A)) -> zero
% 14.32/14.51  Rule
% 14.32/14.51  [638]
% 14.32/14.51  backward_diamond(codomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 14.32/14.51  -> zero collapsed.
% 14.32/14.51  Current number of equations to process: 3042
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 561
% 14.32/14.51  New rule produced :
% 14.32/14.51  [868]
% 14.32/14.51  codomain(antidomain(A)) addition antidomain(A) -> codomain(antidomain(A))
% 14.32/14.51  Current number of equations to process: 3050
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 562
% 14.32/14.51  New rule produced :
% 14.32/14.51  [869]
% 14.32/14.51  backward_diamond(multiplication(codomain(B),A),B) -> backward_diamond(A,B)
% 14.32/14.51  Current number of equations to process: 3051
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 563
% 14.32/14.51  New rule produced :
% 14.32/14.51  [870]
% 14.32/14.51  multiplication(multiplication(A,B),coantidomain(backward_diamond(B,A))) ->
% 14.32/14.51  zero
% 14.32/14.51  Current number of equations to process: 3050
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 564
% 14.32/14.51  New rule produced :
% 14.32/14.51  [871] coantidomain(A) addition antidomain(codomain(A)) -> coantidomain(A)
% 14.32/14.51  Current number of equations to process: 3059
% 14.32/14.51  Current number of ordered equations: 0
% 14.32/14.51  Current number of rules: 565
% 14.32/14.51  New rule produced :
% 14.32/14.51  [872] codomain(A) addition antidomain(coantidomain(A)) -> codomain(A)
% 14.82/15.00  Current number of equations to process: 3071
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 566
% 14.82/15.00  New rule produced :
% 14.82/15.00  [873]
% 14.82/15.00  multiplication(multiplication(codomain(A),B),backward_diamond(B,A)) ->
% 14.82/15.00  multiplication(codomain(A),B)
% 14.82/15.00  Current number of equations to process: 3077
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 567
% 14.82/15.00  New rule produced :
% 14.82/15.00  [874]
% 14.82/15.00  forward_diamond(multiplication(A,multiplication(B,multiplication(C,c(X0)))),X0)
% 14.82/15.00  -> zero
% 14.82/15.00  Current number of equations to process: 3074
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 568
% 14.82/15.00  New rule produced :
% 14.82/15.00  [875]
% 14.82/15.00  multiplication(multiplication(c(A),B),coantidomain(multiplication(antidomain(A),B)))
% 14.82/15.00  -> zero
% 14.82/15.00  Current number of equations to process: 3073
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 569
% 14.82/15.00  New rule produced :
% 14.82/15.00  [876]
% 14.82/15.00  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B)) ->
% 14.82/15.00  true
% 14.82/15.00  Current number of equations to process: 3072
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 570
% 14.82/15.00  New rule produced :
% 14.82/15.00  [877]
% 14.82/15.00  leq(multiplication(antidomain(A),antidomain(B)),c(A) addition C) -> true
% 14.82/15.00  Current number of equations to process: 3071
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 571
% 14.82/15.00  New rule produced :
% 14.82/15.00  [878]
% 14.82/15.00  leq(multiplication(forward_diamond(A,B),antidomain(C)),one addition X0) ->
% 14.82/15.00  true
% 14.82/15.00  Current number of equations to process: 3070
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 572
% 14.82/15.00  New rule produced :
% 14.82/15.00  [879]
% 14.82/15.00  leq(multiplication(backward_diamond(A,B),antidomain(C)),one addition X0) ->
% 14.82/15.00  true
% 14.82/15.00  Current number of equations to process: 3069
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 573
% 14.82/15.00  New rule produced :
% 14.82/15.00  [880]
% 14.82/15.00  multiplication(multiplication(A,B),multiplication(codomain(B),C)) ->
% 14.82/15.00  multiplication(A,multiplication(B,C))
% 14.82/15.00  Current number of equations to process: 3066
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 574
% 14.82/15.00  New rule produced :
% 14.82/15.00  [881]
% 14.82/15.00  multiplication(antidomain(codomain(A)),multiplication(coantidomain(A),B)) ->
% 14.82/15.00  multiplication(antidomain(codomain(A)),B)
% 14.82/15.00  Current number of equations to process: 3063
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 575
% 14.82/15.00  New rule produced :
% 14.82/15.00  [882]
% 14.82/15.00  multiplication(antidomain(coantidomain(A)),multiplication(codomain(A),B)) ->
% 14.82/15.00  multiplication(antidomain(coantidomain(A)),B)
% 14.82/15.00  Current number of equations to process: 3062
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 576
% 14.82/15.00  New rule produced :
% 14.82/15.00  [883]
% 14.82/15.00  multiplication(multiplication(antidomain(coantidomain(A)),B),coantidomain(
% 14.82/15.00                                                               backward_diamond(B,A)))
% 14.82/15.00  -> zero
% 14.82/15.00  Current number of equations to process: 3061
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 577
% 14.82/15.00  New rule produced :
% 14.82/15.00  [884]
% 14.82/15.00  backward_diamond(codomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 14.82/15.00  -> codomain(backward_diamond(A,B))
% 14.82/15.00  Current number of equations to process: 3072
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 578
% 14.82/15.00  New rule produced :
% 14.82/15.00  [885]
% 14.82/15.00  multiplication(antidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 14.82/15.00  -> antidomain(backward_diamond(A,B))
% 14.82/15.00  Current number of equations to process: 3071
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 579
% 14.82/15.00  New rule produced :
% 14.82/15.00  [886]
% 14.82/15.00  multiplication(coantidomain(A),multiplication(coantidomain(A),B)) ->
% 14.82/15.00  multiplication(coantidomain(A),B)
% 14.82/15.00  Current number of equations to process: 3102
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 580
% 14.82/15.00  New rule produced :
% 14.82/15.00  [887] multiplication(c(A),codomain(antidomain(A))) -> c(A)
% 14.82/15.00  Current number of equations to process: 3118
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 581
% 14.82/15.00  New rule produced :
% 14.82/15.00  [888] leq(multiplication(A,backward_diamond(B,C)),A) -> true
% 14.82/15.00  Current number of equations to process: 3119
% 14.82/15.00  Current number of ordered equations: 0
% 14.82/15.00  Current number of rules: 582
% 14.82/15.00  New rule produced :
% 14.82/15.00  [889] leq(multiplication(coantidomain(A),codomain(B)),one) -> true
% 14.82/15.00  Current number of equations to process: 3139
% 14.82/15.00  Current number of ordered equations: 1
% 15.04/15.23  Current number of rules: 583
% 15.04/15.23  New rule produced :
% 15.04/15.23  [890] leq(multiplication(codomain(A),codomain(B)),one) -> true
% 15.04/15.23  Current number of equations to process: 3139
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 584
% 15.04/15.23  New rule produced :
% 15.04/15.23  [891] leq(multiplication(A,backward_diamond(B,C)),A addition X0) -> true
% 15.04/15.23  Current number of equations to process: 3139
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 585
% 15.04/15.23  New rule produced :
% 15.04/15.23  [892] leq(multiplication(coantidomain(A),codomain(B)),one addition C) -> true
% 15.04/15.23  Current number of equations to process: 3137
% 15.04/15.23  Current number of ordered equations: 1
% 15.04/15.23  Current number of rules: 586
% 15.04/15.23  New rule produced :
% 15.04/15.23  [893] leq(multiplication(codomain(A),codomain(B)),one addition C) -> true
% 15.04/15.23  Current number of equations to process: 3137
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 587
% 15.04/15.23  New rule produced :
% 15.04/15.23  [894] leq(multiplication(antidomain(A),codomain(B)),one) -> true
% 15.04/15.23  Current number of equations to process: 3138
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 588
% 15.04/15.23  New rule produced :
% 15.04/15.23  [895] leq(multiplication(antidomain(A),codomain(B)),one addition C) -> true
% 15.04/15.23  Current number of equations to process: 3149
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 589
% 15.04/15.23  New rule produced :
% 15.04/15.23  [896]
% 15.04/15.23  leq(multiplication(multiplication(A,codomain(B)),codomain(C)),A) -> true
% 15.04/15.23  Current number of equations to process: 3147
% 15.04/15.23  Current number of ordered equations: 1
% 15.04/15.23  Current number of rules: 590
% 15.04/15.23  New rule produced :
% 15.04/15.23  [897]
% 15.04/15.23  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A) -> true
% 15.04/15.23  Current number of equations to process: 3147
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 591
% 15.04/15.23  New rule produced :
% 15.04/15.23  [898]
% 15.04/15.23  leq(multiplication(multiplication(codomain(A),B),codomain(C)),B) -> true
% 15.04/15.23  Current number of equations to process: 3145
% 15.04/15.23  Current number of ordered equations: 1
% 15.04/15.23  Current number of rules: 592
% 15.04/15.23  New rule produced :
% 15.04/15.23  [899]
% 15.04/15.23  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B) -> true
% 15.04/15.23  Current number of equations to process: 3145
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 593
% 15.04/15.23  New rule produced : [900] leq(multiplication(c(A),codomain(B)),one) -> true
% 15.04/15.23  Current number of equations to process: 3160
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 594
% 15.04/15.23  New rule produced :
% 15.04/15.23  [901] leq(multiplication(antidomain(A),codomain(B)),c(A)) -> true
% 15.04/15.23  Current number of equations to process: 3159
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 595
% 15.04/15.23  New rule produced :
% 15.04/15.23  [902] leq(multiplication(forward_diamond(A,B),codomain(C)),one) -> true
% 15.04/15.23  Current number of equations to process: 3158
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 596
% 15.04/15.23  New rule produced :
% 15.04/15.23  [903] leq(multiplication(backward_diamond(A,B),codomain(C)),one) -> true
% 15.04/15.23  Current number of equations to process: 3157
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 597
% 15.04/15.23  New rule produced :
% 15.04/15.23  [904] leq(multiplication(c(A),codomain(B)),one addition C) -> true
% 15.04/15.23  Current number of equations to process: 3159
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 598
% 15.04/15.23  New rule produced :
% 15.04/15.23  [905]
% 15.04/15.23  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A) -> true
% 15.04/15.23  Current number of equations to process: 3158
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 599
% 15.04/15.23  New rule produced :
% 15.04/15.23  [906]
% 15.04/15.23  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B) -> true
% 15.04/15.23  Current number of equations to process: 3157
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 600
% 15.04/15.23  New rule produced :
% 15.04/15.23  [907] leq(multiplication(codomain(A),coantidomain(B)),one) -> true
% 15.04/15.23  Current number of equations to process: 3165
% 15.04/15.23  Current number of ordered equations: 1
% 15.04/15.23  Current number of rules: 601
% 15.04/15.23  New rule produced :
% 15.04/15.23  [908] leq(multiplication(coantidomain(A),coantidomain(B)),one) -> true
% 15.04/15.23  Current number of equations to process: 3165
% 15.04/15.23  Current number of ordered equations: 0
% 15.04/15.23  Current number of rules: 602
% 15.04/15.23  New rule produced :
% 15.04/15.23  [909] leq(multiplication(codomain(A),coantidomain(B)),one addition C) -> true
% 15.04/15.23  Current number of equations to process: 3164
% 15.26/15.46  Current number of ordered equations: 1
% 15.26/15.46  Current number of rules: 603
% 15.26/15.46  New rule produced :
% 15.26/15.46  [910]
% 15.26/15.46  leq(multiplication(coantidomain(A),coantidomain(B)),one addition C) -> true
% 15.26/15.46  Current number of equations to process: 3164
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 604
% 15.26/15.46  New rule produced :
% 15.26/15.46  [911] leq(multiplication(antidomain(A),coantidomain(B)),one) -> true
% 15.26/15.46  Current number of equations to process: 3165
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 605
% 15.26/15.46  New rule produced :
% 15.26/15.46  [912]
% 15.26/15.46  leq(multiplication(antidomain(A),coantidomain(B)),one addition C) -> true
% 15.26/15.46  Current number of equations to process: 3176
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 606
% 15.26/15.46  New rule produced :
% 15.26/15.46  [913]
% 15.26/15.46  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A) -> true
% 15.26/15.46  Current number of equations to process: 3174
% 15.26/15.46  Current number of ordered equations: 1
% 15.26/15.46  Current number of rules: 607
% 15.26/15.46  New rule produced :
% 15.26/15.46  [914]
% 15.26/15.46  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),A) ->
% 15.26/15.46  true
% 15.26/15.46  Current number of equations to process: 3174
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 608
% 15.26/15.46  New rule produced :
% 15.26/15.46  [915]
% 15.26/15.46  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B) -> true
% 15.26/15.46  Current number of equations to process: 3172
% 15.26/15.46  Current number of ordered equations: 1
% 15.26/15.46  Current number of rules: 609
% 15.26/15.46  New rule produced :
% 15.26/15.46  [916]
% 15.26/15.46  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),B) ->
% 15.26/15.46  true
% 15.26/15.46  Current number of equations to process: 3172
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 610
% 15.26/15.46  New rule produced :
% 15.26/15.46  [917] leq(multiplication(c(A),coantidomain(B)),one) -> true
% 15.26/15.46  Current number of equations to process: 3187
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 611
% 15.26/15.46  New rule produced :
% 15.26/15.46  [918] leq(multiplication(antidomain(A),coantidomain(B)),c(A)) -> true
% 15.26/15.46  Current number of equations to process: 3186
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 612
% 15.26/15.46  New rule produced :
% 15.26/15.46  [919] leq(multiplication(forward_diamond(A,B),coantidomain(C)),one) -> true
% 15.26/15.46  Current number of equations to process: 3185
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 613
% 15.26/15.46  New rule produced :
% 15.26/15.46  [920] leq(multiplication(backward_diamond(A,B),coantidomain(C)),one) -> true
% 15.26/15.46  Current number of equations to process: 3184
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 614
% 15.26/15.46  New rule produced :
% 15.26/15.46  [921] leq(multiplication(c(A),coantidomain(B)),one addition C) -> true
% 15.26/15.46  Current number of equations to process: 3186
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 615
% 15.26/15.46  New rule produced :
% 15.26/15.46  [922]
% 15.26/15.46  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A) ->
% 15.26/15.46  true
% 15.26/15.46  Current number of equations to process: 3185
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 616
% 15.26/15.46  New rule produced :
% 15.26/15.46  [923]
% 15.26/15.46  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B) ->
% 15.26/15.46  true
% 15.26/15.46  Current number of equations to process: 3184
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 617
% 15.26/15.46  New rule produced :
% 15.26/15.46  [924]
% 15.26/15.46  multiplication(multiplication(multiplication(A,B),C),coantidomain(backward_diamond(C,B)))
% 15.26/15.46  -> zero
% 15.26/15.46  Current number of equations to process: 3185
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 618
% 15.26/15.46  New rule produced :
% 15.26/15.46  [925]
% 15.26/15.46  leq(multiplication(A,multiplication(B,codomain(C))),multiplication(A,B)) ->
% 15.26/15.46  true
% 15.26/15.46  Current number of equations to process: 3184
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 619
% 15.26/15.46  New rule produced :
% 15.26/15.46  [926]
% 15.26/15.46  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B))
% 15.26/15.46  -> true
% 15.26/15.46  Current number of equations to process: 3183
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 620
% 15.26/15.46  New rule produced :
% 15.26/15.46  [927] leq(multiplication(antidomain(A),codomain(B)),c(A) addition C) -> true
% 15.26/15.46  Current number of equations to process: 3182
% 15.26/15.46  Current number of ordered equations: 0
% 15.26/15.46  Current number of rules: 621
% 15.26/15.46  New rule produced :
% 15.26/15.46  [928]
% 15.26/15.46  leq(multiplication(forward_diamond(A,B),codomain(C)),one addition X0) -> true
% 15.26/15.46  Current number of equations to process: 3181
% 15.26/15.46  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 622
% 16.16/16.33  New rule produced :
% 16.16/16.33  [929]
% 16.16/16.33  leq(multiplication(backward_diamond(A,B),codomain(C)),one addition X0) ->
% 16.16/16.33  true
% 16.16/16.33  Current number of equations to process: 3180
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 623
% 16.16/16.33  New rule produced :
% 16.16/16.33  [930]
% 16.16/16.33  leq(multiplication(antidomain(A),coantidomain(B)),c(A) addition C) -> true
% 16.16/16.33  Current number of equations to process: 3177
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 624
% 16.16/16.33  New rule produced :
% 16.16/16.33  [931]
% 16.16/16.33  leq(multiplication(forward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 16.16/16.33  true
% 16.16/16.33  Current number of equations to process: 3176
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 625
% 16.16/16.33  New rule produced :
% 16.16/16.33  [932]
% 16.16/16.33  leq(multiplication(backward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 16.16/16.33  true
% 16.16/16.33  Current number of equations to process: 3175
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 626
% 16.16/16.33  New rule produced :
% 16.16/16.33  [933] multiplication(c(codomain(A)),coantidomain(A)) -> c(codomain(A))
% 16.16/16.33  Current number of equations to process: 3184
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 627
% 16.16/16.33  New rule produced :
% 16.16/16.33  [934] multiplication(c(coantidomain(A)),codomain(A)) -> c(coantidomain(A))
% 16.16/16.33  Current number of equations to process: 3197
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 628
% 16.16/16.33  New rule produced :
% 16.16/16.33  [935]
% 16.16/16.33  multiplication(multiplication(A,antidomain(B)),antidomain(B)) ->
% 16.16/16.33  multiplication(A,antidomain(B))
% 16.16/16.33  Current number of equations to process: 3294
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 629
% 16.16/16.33  New rule produced : [936] leq(antidomain(A),codomain(antidomain(A))) -> true
% 16.16/16.33  Current number of equations to process: 3300
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 630
% 16.16/16.33  New rule produced :
% 16.16/16.33  [937] leq(antidomain(codomain(A)),coantidomain(A)) -> true
% 16.16/16.33  Current number of equations to process: 3300
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 631
% 16.16/16.33  New rule produced :
% 16.16/16.33  [938] leq(antidomain(coantidomain(A)),codomain(A)) -> true
% 16.16/16.33  Current number of equations to process: 3300
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 632
% 16.16/16.33  New rule produced :
% 16.16/16.33  [939]
% 16.16/16.33  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B) -> true
% 16.16/16.33  Current number of equations to process: 3316
% 16.16/16.33  Current number of ordered equations: 1
% 16.16/16.33  Current number of rules: 633
% 16.16/16.33  New rule produced :
% 16.16/16.33  [940]
% 16.16/16.33  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B) ->
% 16.16/16.33  true
% 16.16/16.33  Current number of equations to process: 3316
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 634
% 16.16/16.33  New rule produced :
% 16.16/16.33  [941]
% 16.16/16.33  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C) -> true
% 16.16/16.33  Current number of equations to process: 3314
% 16.16/16.33  Current number of ordered equations: 1
% 16.16/16.33  Current number of rules: 635
% 16.16/16.33  New rule produced :
% 16.16/16.33  [942]
% 16.16/16.33  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C) ->
% 16.16/16.33  true
% 16.16/16.33  Current number of equations to process: 3314
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 636
% 16.16/16.33  New rule produced : [943] leq(multiplication(antidomain(A),c(B)),one) -> true
% 16.16/16.33  Current number of equations to process: 3329
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 637
% 16.16/16.33  New rule produced :
% 16.16/16.33  [944] leq(multiplication(antidomain(A),antidomain(B)),c(B)) -> true
% 16.16/16.33  Current number of equations to process: 3328
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 638
% 16.16/16.33  New rule produced :
% 16.16/16.33  [945] leq(multiplication(antidomain(A),forward_diamond(B,C)),one) -> true
% 16.16/16.33  Current number of equations to process: 3327
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 639
% 16.16/16.33  New rule produced :
% 16.16/16.33  [946] leq(multiplication(antidomain(A),backward_diamond(B,C)),one) -> true
% 16.16/16.33  Current number of equations to process: 3326
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 640
% 16.16/16.33  New rule produced :
% 16.16/16.33  [947] leq(multiplication(antidomain(A),c(B)),one addition C) -> true
% 16.16/16.33  Current number of equations to process: 3328
% 16.16/16.33  Current number of ordered equations: 0
% 16.16/16.33  Current number of rules: 641
% 16.16/16.33  New rule produced :
% 16.16/16.33  [948]
% 16.16/16.33  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B) -> true
% 16.70/16.90  Current number of equations to process: 3327
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 642
% 16.70/16.90  New rule produced :
% 16.70/16.90  [949]
% 16.70/16.90  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C) -> true
% 16.70/16.90  Current number of equations to process: 3326
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 643
% 16.70/16.90  New rule produced :
% 16.70/16.90  [950] leq(antidomain(A),codomain(antidomain(A)) addition B) -> true
% 16.70/16.90  Current number of equations to process: 3328
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 644
% 16.70/16.90  New rule produced :
% 16.70/16.90  [951] leq(antidomain(codomain(A)),coantidomain(A) addition B) -> true
% 16.70/16.90  Current number of equations to process: 3327
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 645
% 16.70/16.90  New rule produced :
% 16.70/16.90  [952] leq(antidomain(coantidomain(A)),codomain(A) addition B) -> true
% 16.70/16.90  Current number of equations to process: 3326
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 646
% 16.70/16.90  New rule produced :
% 16.70/16.90  [953]
% 16.70/16.90  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C)) ->
% 16.70/16.90  true
% 16.70/16.90  Current number of equations to process: 3331
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 647
% 16.70/16.90  New rule produced :
% 16.70/16.90  [954]
% 16.70/16.90  leq(multiplication(antidomain(A),antidomain(B)),c(B) addition C) -> true
% 16.70/16.90  Current number of equations to process: 3330
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 648
% 16.70/16.90  New rule produced :
% 16.70/16.90  [955]
% 16.70/16.90  leq(multiplication(antidomain(A),forward_diamond(B,C)),one addition X0) ->
% 16.70/16.90  true
% 16.70/16.90  Current number of equations to process: 3329
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 649
% 16.70/16.90  New rule produced :
% 16.70/16.90  [956]
% 16.70/16.90  leq(multiplication(antidomain(A),backward_diamond(B,C)),one addition X0) ->
% 16.70/16.90  true
% 16.70/16.90  Current number of equations to process: 3328
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 650
% 16.70/16.90  New rule produced :
% 16.70/16.90  [957]
% 16.70/16.90  multiplication(backward_diamond(A,B),backward_diamond(A,B)) ->
% 16.70/16.90  backward_diamond(A,B)
% 16.70/16.90  Current number of equations to process: 3375
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 651
% 16.70/16.90  New rule produced :
% 16.70/16.90  [958]
% 16.70/16.90  multiplication(multiplication(A,codomain(B)),codomain(B)) ->
% 16.70/16.90  multiplication(A,codomain(B))
% 16.70/16.90  Current number of equations to process: 3374
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 652
% 16.70/16.90  New rule produced :
% 16.70/16.90  [959]
% 16.70/16.90  backward_diamond(codomain(B) addition A,B) ->
% 16.70/16.90  backward_diamond(one addition A,B)
% 16.70/16.90  Current number of equations to process: 3376
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 653
% 16.70/16.90  New rule produced :
% 16.70/16.90  [960] leq(multiplication(backward_diamond(A,B),C),C) -> true
% 16.70/16.90  Current number of equations to process: 3378
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 654
% 16.70/16.90  New rule produced :
% 16.70/16.90  [961]
% 16.70/16.90  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(B,A)))
% 16.70/16.90  -> zero
% 16.70/16.90  Current number of equations to process: 3396
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 655
% 16.70/16.90  New rule produced :
% 16.70/16.90  [962] leq(multiplication(backward_diamond(A,B),C),C addition X0) -> true
% 16.70/16.90  Current number of equations to process: 3395
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 656
% 16.70/16.90  New rule produced :
% 16.70/16.90  [963]
% 16.70/16.90  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B) -> true
% 16.70/16.90  Current number of equations to process: 3405
% 16.70/16.90  Current number of ordered equations: 1
% 16.70/16.90  Current number of rules: 657
% 16.70/16.90  New rule produced :
% 16.70/16.90  [964]
% 16.70/16.90  leq(multiplication(codomain(A),multiplication(B,codomain(C))),B) -> true
% 16.70/16.90  Current number of equations to process: 3405
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 658
% 16.70/16.90  New rule produced :
% 16.70/16.90  [965]
% 16.70/16.90  leq(multiplication(codomain(A),multiplication(codomain(B),C)),C) -> true
% 16.70/16.90  Current number of equations to process: 3403
% 16.70/16.90  Current number of ordered equations: 1
% 16.70/16.90  Current number of rules: 659
% 16.70/16.90  New rule produced :
% 16.70/16.90  [966]
% 16.70/16.90  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C) -> true
% 16.70/16.90  Current number of equations to process: 3403
% 16.70/16.90  Current number of ordered equations: 0
% 16.70/16.90  Current number of rules: 660
% 16.70/16.90  New rule produced : [967] leq(multiplication(codomain(A),c(B)),one) -> true
% 16.70/16.90  Current number of equations to process: 3418
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 661
% 17.06/17.23  New rule produced :
% 17.06/17.23  [968] leq(multiplication(codomain(A),antidomain(B)),c(B)) -> true
% 17.06/17.23  Current number of equations to process: 3417
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 662
% 17.06/17.23  New rule produced :
% 17.06/17.23  [969] leq(multiplication(codomain(A),forward_diamond(B,C)),one) -> true
% 17.06/17.23  Current number of equations to process: 3416
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 663
% 17.06/17.23  New rule produced :
% 17.06/17.23  [970] leq(multiplication(codomain(A),backward_diamond(B,C)),one) -> true
% 17.06/17.23  Current number of equations to process: 3415
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 664
% 17.06/17.23  New rule produced :
% 17.06/17.23  [971] leq(multiplication(codomain(A),c(B)),one addition C) -> true
% 17.06/17.23  Current number of equations to process: 3417
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 665
% 17.06/17.23  New rule produced :
% 17.06/17.23  [972]
% 17.06/17.23  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B) -> true
% 17.06/17.23  Current number of equations to process: 3416
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 666
% 17.06/17.23  New rule produced :
% 17.06/17.23  [973]
% 17.06/17.23  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C) -> true
% 17.06/17.23  Current number of equations to process: 3415
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 667
% 17.06/17.23  New rule produced :
% 17.06/17.23  [974]
% 17.06/17.23  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),B) ->
% 17.06/17.23  true
% 17.06/17.23  Current number of equations to process: 3432
% 17.06/17.23  Current number of ordered equations: 1
% 17.06/17.23  Current number of rules: 668
% 17.06/17.23  New rule produced :
% 17.06/17.23  [975]
% 17.06/17.23  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B) -> true
% 17.06/17.23  Current number of equations to process: 3432
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 669
% 17.06/17.23  New rule produced :
% 17.06/17.23  [976]
% 17.06/17.23  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C) -> true
% 17.06/17.23  Current number of equations to process: 3430
% 17.06/17.23  Current number of ordered equations: 1
% 17.06/17.23  Current number of rules: 670
% 17.06/17.23  New rule produced :
% 17.06/17.23  [977]
% 17.06/17.23  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),C) ->
% 17.06/17.23  true
% 17.06/17.23  Current number of equations to process: 3430
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 671
% 17.06/17.23  New rule produced :
% 17.06/17.23  [978] leq(multiplication(coantidomain(A),c(B)),one) -> true
% 17.06/17.23  Current number of equations to process: 3445
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 672
% 17.06/17.23  New rule produced :
% 17.06/17.23  [979] leq(multiplication(coantidomain(A),antidomain(B)),c(B)) -> true
% 17.06/17.23  Current number of equations to process: 3444
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 673
% 17.06/17.23  New rule produced :
% 17.06/17.23  [980] leq(multiplication(coantidomain(A),forward_diamond(B,C)),one) -> true
% 17.06/17.23  Current number of equations to process: 3443
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 674
% 17.06/17.23  New rule produced :
% 17.06/17.23  [981] leq(multiplication(coantidomain(A),backward_diamond(B,C)),one) -> true
% 17.06/17.23  Current number of equations to process: 3442
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 675
% 17.06/17.23  New rule produced :
% 17.06/17.23  [982] leq(multiplication(coantidomain(A),c(B)),one addition C) -> true
% 17.06/17.23  Current number of equations to process: 3444
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 676
% 17.06/17.23  New rule produced :
% 17.06/17.23  [983]
% 17.06/17.23  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B) ->
% 17.06/17.23  true
% 17.06/17.23  Current number of equations to process: 3443
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 677
% 17.06/17.23  New rule produced :
% 17.06/17.23  [984]
% 17.06/17.23  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C) ->
% 17.06/17.23  true
% 17.06/17.23  Current number of equations to process: 3442
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 678
% 17.06/17.23  New rule produced :
% 17.06/17.23  [985]
% 17.06/17.23  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B) -> true
% 17.06/17.23  Current number of equations to process: 3448
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 679
% 17.06/17.23  New rule produced :
% 17.06/17.23  [986]
% 17.06/17.23  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 17.06/17.23  Current number of equations to process: 3447
% 17.06/17.23  Current number of ordered equations: 0
% 17.06/17.23  Current number of rules: 680
% 17.06/17.23  New rule produced :
% 17.06/17.23  [987]
% 17.06/17.23  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 17.76/17.94  Current number of equations to process: 3446
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 681
% 17.76/17.94  New rule produced :
% 17.76/17.94  [988]
% 17.76/17.94  leq(multiplication(multiplication(codomain(A),B),C),multiplication(B,C)) ->
% 17.76/17.94  true
% 17.76/17.94  Current number of equations to process: 3445
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 682
% 17.76/17.94  New rule produced :
% 17.76/17.94  [989]
% 17.76/17.94  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C))
% 17.76/17.94  -> true
% 17.76/17.94  Current number of equations to process: 3444
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 683
% 17.76/17.94  New rule produced :
% 17.76/17.94  [990] leq(multiplication(codomain(A),antidomain(B)),c(B) addition C) -> true
% 17.76/17.94  Current number of equations to process: 3443
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 684
% 17.76/17.94  New rule produced :
% 17.76/17.94  [991]
% 17.76/17.94  leq(multiplication(codomain(A),forward_diamond(B,C)),one addition X0) -> true
% 17.76/17.94  Current number of equations to process: 3442
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 685
% 17.76/17.94  New rule produced :
% 17.76/17.94  [992]
% 17.76/17.94  leq(multiplication(codomain(A),backward_diamond(B,C)),one addition X0) ->
% 17.76/17.94  true
% 17.76/17.94  Current number of equations to process: 3441
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 686
% 17.76/17.94  New rule produced :
% 17.76/17.94  [993]
% 17.76/17.94  leq(multiplication(coantidomain(A),antidomain(B)),c(B) addition C) -> true
% 17.76/17.94  Current number of equations to process: 3438
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 687
% 17.76/17.94  New rule produced :
% 17.76/17.94  [994]
% 17.76/17.94  leq(multiplication(coantidomain(A),forward_diamond(B,C)),one addition X0) ->
% 17.76/17.94  true
% 17.76/17.94  Current number of equations to process: 3437
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 688
% 17.76/17.94  New rule produced :
% 17.76/17.94  [995]
% 17.76/17.94  leq(multiplication(coantidomain(A),backward_diamond(B,C)),one addition X0) ->
% 17.76/17.94  true
% 17.76/17.94  Current number of equations to process: 3436
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 689
% 17.76/17.94  New rule produced :
% 17.76/17.94  [996]
% 17.76/17.94  multiplication(multiplication(A,B),multiplication(C,coantidomain(backward_diamond(C,B))))
% 17.76/17.94  -> zero
% 17.76/17.94  Current number of equations to process: 3569
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 690
% 17.76/17.94  New rule produced :
% 17.76/17.94  [997]
% 17.76/17.94  backward_diamond(multiplication(A,B),codomain(C)) ->
% 17.76/17.94  backward_diamond(multiplication(A,B),C)
% 17.76/17.94  Current number of equations to process: 3572
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 691
% 17.76/17.94  New rule produced :
% 17.76/17.94  [998]
% 17.76/17.94  leq(backward_diamond(A,B) addition backward_diamond(C,X0),one addition X1) ->
% 17.76/17.94  true
% 17.76/17.94  Current number of equations to process: 3589
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 692
% 17.76/17.94  New rule produced :
% 17.76/17.94  [999]
% 17.76/17.94  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A addition X0)
% 17.76/17.94  -> true
% 17.76/17.94  Current number of equations to process: 3587
% 17.76/17.94  Current number of ordered equations: 1
% 17.76/17.94  Current number of rules: 693
% 17.76/17.94  New rule produced :
% 17.76/17.94  [1000]
% 17.76/17.94  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A addition X0)
% 17.76/17.94  -> true
% 17.76/17.94  Current number of equations to process: 3587
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 694
% 17.76/17.94  New rule produced :
% 17.76/17.94  [1001]
% 17.76/17.94  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B addition X0)
% 17.76/17.94  -> true
% 17.76/17.94  Current number of equations to process: 3585
% 17.76/17.94  Current number of ordered equations: 1
% 17.76/17.94  Current number of rules: 695
% 17.76/17.94  New rule produced :
% 17.76/17.94  [1002]
% 17.76/17.94  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B addition X0)
% 17.76/17.94  -> true
% 17.76/17.94  Current number of equations to process: 3585
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 696
% 17.76/17.94  New rule produced :
% 17.76/17.94  [1003]
% 17.76/17.94  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A addition X0)
% 17.76/17.94  -> true
% 17.76/17.94  Current number of equations to process: 3584
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 697
% 17.76/17.94  New rule produced :
% 17.76/17.94  [1004]
% 17.76/17.94  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B addition X0)
% 17.76/17.94  -> true
% 17.76/17.94  Current number of equations to process: 3583
% 17.76/17.94  Current number of ordered equations: 0
% 17.76/17.94  Current number of rules: 698
% 17.76/17.94  New rule produced :
% 17.76/17.94  [1005]
% 17.76/17.94  multiplication(multiplication(A,B),coantidomain(multiplication(B,codomain(
% 17.83/18.05                                                                   multiplication(A,B)))))
% 17.83/18.05  -> zero
% 17.83/18.05  Current number of equations to process: 3577
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 699
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1006]
% 17.83/18.05  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 17.83/18.05                                                           multiplication(
% 17.83/18.05                                                           coantidomain(A),B)))
% 17.83/18.05  -> zero
% 17.83/18.05  Current number of equations to process: 3576
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 700
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1007]
% 17.83/18.05  multiplication(antidomain(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 17.83/18.05  -> antidomain(coantidomain(backward_diamond(A,B)))
% 17.83/18.05  Current number of equations to process: 3575
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 701
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1008]
% 17.83/18.05  leq(antidomain(A) addition multiplication(c(A),antidomain(B)),c(A)) -> true
% 17.83/18.05  Current number of equations to process: 3574
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 702
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1009]
% 17.83/18.05  leq(multiplication(A,antidomain(B)) addition multiplication(A,antidomain(C)),A)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3573
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 703
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1010]
% 17.83/18.05  leq(multiplication(antidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3572
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 704
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1011]
% 17.83/18.05  leq(multiplication(A,codomain(B)) addition multiplication(A,antidomain(C)),A)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3571
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 705
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1012]
% 17.83/18.05  leq(multiplication(codomain(A),B) addition multiplication(B,antidomain(C)),B)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3570
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 706
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1013]
% 17.83/18.05  leq(multiplication(A,coantidomain(B)) addition multiplication(A,antidomain(C)),A)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3569
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 707
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1014]
% 17.83/18.05  leq(multiplication(coantidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3568
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 708
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1015]
% 17.83/18.05  leq(multiplication(multiplication(A,codomain(B)),codomain(C)),A addition X0)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3566
% 17.83/18.05  Current number of ordered equations: 1
% 17.83/18.05  Current number of rules: 709
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1016]
% 17.83/18.05  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A addition X0)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3566
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 710
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1017]
% 17.83/18.05  leq(multiplication(multiplication(codomain(A),B),codomain(C)),B addition X0)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3564
% 17.83/18.05  Current number of ordered equations: 1
% 17.83/18.05  Current number of rules: 711
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1018]
% 17.83/18.05  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B addition X0)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3564
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 712
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1019]
% 17.83/18.05  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A addition X0)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3563
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 713
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1020]
% 17.83/18.05  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B addition X0)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3562
% 17.83/18.05  Current number of ordered equations: 0
% 17.83/18.05  Current number of rules: 714
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1021]
% 17.83/18.05  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A addition X0)
% 17.83/18.05  -> true
% 17.83/18.05  Current number of equations to process: 3555
% 17.83/18.05  Current number of ordered equations: 1
% 17.83/18.05  Current number of rules: 715
% 17.83/18.05  New rule produced :
% 17.83/18.05  [1022]
% 17.83/18.05  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 17.98/18.19  A addition X0) -> true
% 17.98/18.19  Current number of equations to process: 3555
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 716
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1023]
% 17.98/18.19  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B addition X0)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3553
% 17.98/18.19  Current number of ordered equations: 1
% 17.98/18.19  Current number of rules: 717
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1024]
% 17.98/18.19  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 17.98/18.19  B addition X0) -> true
% 17.98/18.19  Current number of equations to process: 3553
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 718
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1025]
% 17.98/18.19  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A addition X0)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3552
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 719
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1026]
% 17.98/18.19  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B addition X0)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3551
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 720
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1027]
% 17.98/18.19  leq(multiplication(A,backward_diamond(B,C)) addition X0,A addition X0) ->
% 17.98/18.19  true
% 17.98/18.19  Current number of equations to process: 3545
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 721
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1028]
% 17.98/18.19  leq(antidomain(A) addition multiplication(c(A),codomain(B)),c(A)) -> true
% 17.98/18.19  Current number of equations to process: 3544
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 722
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1029]
% 17.98/18.19  leq(multiplication(antidomain(A),B) addition multiplication(B,codomain(C)),B)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3542
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 723
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1030]
% 17.98/18.19  leq(multiplication(A,codomain(B)) addition multiplication(A,codomain(C)),A)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3541
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 724
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1031]
% 17.98/18.19  leq(multiplication(codomain(A),B) addition multiplication(B,codomain(C)),B)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3540
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 725
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1032]
% 17.98/18.19  leq(multiplication(A,codomain(B)) addition multiplication(A,coantidomain(C)),A)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3539
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 726
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1033]
% 17.98/18.19  leq(multiplication(coantidomain(A),B) addition multiplication(B,codomain(C)),B)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3538
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 727
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1034]
% 17.98/18.19  leq(antidomain(A) addition multiplication(c(A),coantidomain(B)),c(A)) -> true
% 17.98/18.19  Current number of equations to process: 3537
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 728
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1035]
% 17.98/18.19  leq(multiplication(antidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3535
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 729
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1036]
% 17.98/18.19  leq(multiplication(codomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3533
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 730
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1037]
% 17.98/18.19  leq(multiplication(A,coantidomain(B)) addition multiplication(A,coantidomain(C)),A)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3532
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 731
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1038]
% 17.98/18.19  leq(multiplication(coantidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3531
% 17.98/18.19  Current number of ordered equations: 0
% 17.98/18.19  Current number of rules: 732
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1039]
% 17.98/18.19  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B addition X0)
% 17.98/18.19  -> true
% 17.98/18.19  Current number of equations to process: 3529
% 17.98/18.19  Current number of ordered equations: 1
% 17.98/18.19  Current number of rules: 733
% 17.98/18.19  New rule produced :
% 17.98/18.19  [1040]
% 17.98/18.19  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3529
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 734
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1041]
% 18.13/18.35  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3527
% 18.13/18.35  Current number of ordered equations: 1
% 18.13/18.35  Current number of rules: 735
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1042]
% 18.13/18.35  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3527
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 736
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1043]
% 18.13/18.35  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3526
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 737
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1044]
% 18.13/18.35  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3525
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 738
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1045]
% 18.13/18.35  leq(antidomain(A) addition multiplication(antidomain(B),c(A)),c(A)) -> true
% 18.13/18.35  Current number of equations to process: 3519
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 739
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1046]
% 18.13/18.35  leq(multiplication(antidomain(A),B) addition multiplication(antidomain(C),B),B)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3517
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 740
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1047]
% 18.13/18.35  leq(multiplication(codomain(A),B) addition multiplication(antidomain(C),B),B)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3515
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 741
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1048]
% 18.13/18.35  leq(multiplication(coantidomain(A),B) addition multiplication(antidomain(C),B),B)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3513
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 742
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1049]
% 18.13/18.35  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3511
% 18.13/18.35  Current number of ordered equations: 1
% 18.13/18.35  Current number of rules: 743
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1050]
% 18.13/18.35  leq(multiplication(codomain(A),multiplication(B,codomain(C))),B addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3511
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 744
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1051]
% 18.13/18.35  leq(multiplication(codomain(A),multiplication(codomain(B),C)),C addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3509
% 18.13/18.35  Current number of ordered equations: 1
% 18.13/18.35  Current number of rules: 745
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1052]
% 18.13/18.35  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3509
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 746
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1053]
% 18.13/18.35  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3508
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 747
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1054]
% 18.13/18.35  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3507
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 748
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1055]
% 18.13/18.35  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 18.13/18.35  B addition X0) -> true
% 18.13/18.35  Current number of equations to process: 3500
% 18.13/18.35  Current number of ordered equations: 1
% 18.13/18.35  Current number of rules: 749
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1056]
% 18.13/18.35  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3500
% 18.13/18.35  Current number of ordered equations: 0
% 18.13/18.35  Current number of rules: 750
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1057]
% 18.13/18.35  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C addition X0)
% 18.13/18.35  -> true
% 18.13/18.35  Current number of equations to process: 3498
% 18.13/18.35  Current number of ordered equations: 1
% 18.13/18.35  Current number of rules: 751
% 18.13/18.35  New rule produced :
% 18.13/18.35  [1058]
% 18.13/18.35  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 18.26/18.49  C addition X0) -> true
% 18.26/18.49  Current number of equations to process: 3498
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 752
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1059]
% 18.26/18.49  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 18.26/18.49  -> true
% 18.26/18.49  Current number of equations to process: 3497
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 753
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1060]
% 18.26/18.49  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 18.26/18.49  -> true
% 18.26/18.49  Current number of equations to process: 3496
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 754
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1061]
% 18.26/18.49  leq(multiplication(backward_diamond(A,B),C) addition X0,C addition X0) ->
% 18.26/18.49  true
% 18.26/18.49  Current number of equations to process: 3490
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 755
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1062]
% 18.26/18.49  leq(antidomain(A) addition multiplication(codomain(B),c(A)),c(A)) -> true
% 18.26/18.49  Current number of equations to process: 3489
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 756
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1063]
% 18.26/18.49  leq(multiplication(codomain(A),B) addition multiplication(codomain(C),B),B)
% 18.26/18.49  -> true
% 18.26/18.49  Current number of equations to process: 3485
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 757
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1064]
% 18.26/18.49  leq(multiplication(codomain(A),B) addition multiplication(coantidomain(C),B),B)
% 18.26/18.49  -> true
% 18.26/18.49  Current number of equations to process: 3483
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 758
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1065]
% 18.26/18.49  leq(antidomain(A) addition multiplication(coantidomain(B),c(A)),c(A)) -> true
% 18.26/18.49  Current number of equations to process: 3482
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 759
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1066]
% 18.26/18.49  leq(multiplication(coantidomain(A),B) addition multiplication(coantidomain(C),B),B)
% 18.26/18.49  -> true
% 18.26/18.49  Current number of equations to process: 3476
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 760
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1067]
% 18.26/18.49  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),coantidomain(
% 18.26/18.49                                                                     c(B)))) ->
% 18.26/18.49  zero
% 18.26/18.49  Current number of equations to process: 3475
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 761
% 18.26/18.49  New rule produced : [1068] ifeq(leq(c(c(A)),c(A)),true,one,c(A)) -> c(A)
% 18.26/18.49  Current number of equations to process: 3473
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 762
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1069]
% 18.26/18.49  multiplication(antidomain(A),multiplication(coantidomain(c(c(A))),B)) ->
% 18.26/18.49  multiplication(coantidomain(c(c(A))),B)
% 18.26/18.49  Current number of equations to process: 3472
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 763
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1070]
% 18.26/18.49  c(c(B)) addition multiplication(antidomain(A),antidomain(B)) ->
% 18.26/18.49  c(c(B)) addition antidomain(A)
% 18.26/18.49  Current number of equations to process: 3470
% 18.26/18.49  Current number of ordered equations: 1
% 18.26/18.49  Current number of rules: 764
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1071]
% 18.26/18.49  c(c(A)) addition multiplication(antidomain(A),antidomain(B)) ->
% 18.26/18.49  c(c(A)) addition antidomain(B)
% 18.26/18.49  Current number of equations to process: 3470
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 765
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1072]
% 18.26/18.49  c(c(A)) addition multiplication(antidomain(A),codomain(B)) ->
% 18.26/18.49  c(c(A)) addition codomain(B)
% 18.26/18.49  Current number of equations to process: 3468
% 18.26/18.49  Current number of ordered equations: 1
% 18.26/18.49  Current number of rules: 766
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1073]
% 18.26/18.49  c(c(A)) addition multiplication(antidomain(A),coantidomain(B)) ->
% 18.26/18.49  c(c(A)) addition coantidomain(B)
% 18.26/18.49  Current number of equations to process: 3468
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 767
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1074]
% 18.26/18.49  c(c(B)) addition multiplication(codomain(A),antidomain(B)) ->
% 18.26/18.49  c(c(B)) addition codomain(A)
% 18.26/18.49  Current number of equations to process: 3466
% 18.26/18.49  Current number of ordered equations: 1
% 18.26/18.49  Current number of rules: 768
% 18.26/18.49  New rule produced :
% 18.26/18.49  [1075]
% 18.26/18.49  c(c(B)) addition multiplication(coantidomain(A),antidomain(B)) ->
% 18.26/18.49  c(c(B)) addition coantidomain(A)
% 18.26/18.49  Current number of equations to process: 3466
% 18.26/18.49  Current number of ordered equations: 0
% 18.26/18.49  Current number of rules: 769
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1076]
% 18.43/18.63  c(c(multiplication(A,antidomain(forward_diamond(B,C))))) ->
% 18.43/18.63  forward_diamond(A,antidomain(multiplication(B,c(c(C)))))
% 18.43/18.63  Current number of equations to process: 3465
% 18.43/18.63  Current number of ordered equations: 0
% 18.43/18.63  Current number of rules: 770
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1077]
% 18.43/18.63  codomain(A) addition multiplication(coantidomain(A),c(c(B))) ->
% 18.43/18.63  c(c(B)) addition codomain(A)
% 18.43/18.63  Current number of equations to process: 3463
% 18.43/18.63  Current number of ordered equations: 1
% 18.43/18.63  Current number of rules: 771
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1078]
% 18.43/18.63  coantidomain(A) addition multiplication(codomain(A),c(c(B))) ->
% 18.43/18.63  c(c(B)) addition coantidomain(A)
% 18.43/18.63  Current number of equations to process: 3463
% 18.43/18.63  Current number of ordered equations: 0
% 18.43/18.63  Current number of rules: 772
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1079]
% 18.43/18.63  codomain(A) addition multiplication(c(c(B)),coantidomain(A)) ->
% 18.43/18.63  c(c(B)) addition codomain(A)
% 18.43/18.63  Current number of equations to process: 3460
% 18.43/18.63  Current number of ordered equations: 1
% 18.43/18.63  Current number of rules: 773
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1080]
% 18.43/18.63  coantidomain(A) addition multiplication(c(c(B)),codomain(A)) ->
% 18.43/18.63  c(c(B)) addition coantidomain(A)
% 18.43/18.63  Current number of equations to process: 3460
% 18.43/18.63  Current number of ordered equations: 0
% 18.43/18.63  Current number of rules: 774
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1081]
% 18.43/18.63  c(A) addition multiplication(c(c(B)),c(c(A))) <->
% 18.43/18.63  c(c(B)) addition multiplication(antidomain(B),c(A))
% 18.43/18.63  Current number of equations to process: 3445
% 18.43/18.63  Current number of ordered equations: 3
% 18.43/18.63  Current number of rules: 775
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1082]
% 18.43/18.63  c(A) addition multiplication(antidomain(B),c(c(A))) ->
% 18.43/18.63  antidomain(B) addition multiplication(c(c(B)),c(A))
% 18.43/18.63  Current number of equations to process: 3445
% 18.43/18.63  Current number of ordered equations: 2
% 18.43/18.63  Current number of rules: 776
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1083]
% 18.43/18.63  c(c(B)) addition multiplication(antidomain(B),c(A)) <->
% 18.43/18.63  c(A) addition multiplication(c(c(B)),c(c(A)))
% 18.43/18.63  Current number of equations to process: 3445
% 18.43/18.63  Current number of ordered equations: 1
% 18.43/18.63  Current number of rules: 777
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1084]
% 18.43/18.63  c(c(A)) addition multiplication(antidomain(B),c(A)) ->
% 18.43/18.63  c(c(A)) addition antidomain(B)
% 18.43/18.63  Current number of equations to process: 3445
% 18.43/18.63  Current number of ordered equations: 0
% 18.43/18.63  Current number of rules: 778
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1085]
% 18.43/18.63  c(A) addition multiplication(codomain(B),c(c(A))) <->
% 18.43/18.63  codomain(B) addition multiplication(coantidomain(B),c(A))
% 18.43/18.63  Current number of equations to process: 3441
% 18.43/18.63  Current number of ordered equations: 4
% 18.43/18.63  Current number of rules: 779
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1086]
% 18.43/18.63  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 18.43/18.63  coantidomain(B) addition multiplication(codomain(B),c(A))
% 18.43/18.63  Current number of equations to process: 3441
% 18.43/18.63  Current number of ordered equations: 3
% 18.43/18.63  Current number of rules: 780
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1087]
% 18.43/18.63  codomain(B) addition multiplication(coantidomain(B),c(A)) <->
% 18.43/18.63  c(A) addition multiplication(codomain(B),c(c(A)))
% 18.43/18.63  Current number of equations to process: 3441
% 18.43/18.63  Current number of ordered equations: 2
% 18.43/18.63  Current number of rules: 781
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1088]
% 18.43/18.63  c(c(A)) addition multiplication(codomain(B),c(A)) ->
% 18.43/18.63  c(c(A)) addition codomain(B)
% 18.43/18.63  Current number of equations to process: 3441
% 18.43/18.63  Current number of ordered equations: 1
% 18.43/18.63  Current number of rules: 782
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1089]
% 18.43/18.63  c(c(A)) addition multiplication(coantidomain(B),c(A)) ->
% 18.43/18.63  c(c(A)) addition coantidomain(B)
% 18.43/18.63  Current number of equations to process: 3441
% 18.43/18.63  Current number of ordered equations: 0
% 18.43/18.63  Current number of rules: 783
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1090]
% 18.43/18.63  c(multiplication(A,antidomain(forward_diamond(B,antidomain(C))))) ->
% 18.43/18.63  antidomain(forward_diamond(A,antidomain(multiplication(B,c(C)))))
% 18.43/18.63  Current number of equations to process: 3440
% 18.43/18.63  Current number of ordered equations: 0
% 18.43/18.63  Current number of rules: 784
% 18.43/18.63  New rule produced :
% 18.43/18.63  [1091]
% 18.43/18.63  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),C)) ->
% 18.43/18.63  multiplication(A,multiplication(c(B),C))
% 18.43/18.63  Rule
% 18.43/18.63  [1067]
% 18.43/18.63  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),coantidomain(
% 18.43/18.63                                                                     c(B)))) ->
% 18.43/18.63  zero collapsed.
% 18.43/18.63  Current number of equations to process: 3439
% 18.43/18.63  Current number of ordered equations: 0
% 18.43/18.63  Current number of rules: 784
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1092]
% 23.78/23.98  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(B),C))
% 23.78/23.98  -> multiplication(A,multiplication(coantidomain(B),C))
% 23.78/23.98  Current number of equations to process: 3434
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 785
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1093]
% 23.78/23.98  multiplication(multiplication(A,antidomain(B)),multiplication(antidomain(B),C))
% 23.78/23.98  -> multiplication(A,multiplication(antidomain(B),C))
% 23.78/23.98  Current number of equations to process: 3429
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 786
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1094]
% 23.78/23.98  multiplication(multiplication(A,codomain(B)),multiplication(codomain(B),C))
% 23.78/23.98  -> multiplication(A,multiplication(codomain(B),C))
% 23.78/23.98  Current number of equations to process: 3424
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 787
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1095]
% 23.78/23.98  codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(A)) ->
% 23.78/23.98  backward_diamond(B,C) addition codomain(A)
% 23.78/23.98  Current number of equations to process: 3764
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 788
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1096]
% 23.78/23.98  multiplication(multiplication(A,c(B)),multiplication(coantidomain(antidomain(B)),C))
% 23.78/23.98  -> zero
% 23.78/23.98  Current number of equations to process: 4050
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 789
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1097] multiplication(multiplication(A,c(B)),multiplication(B,C)) -> zero
% 23.78/23.98  Rule
% 23.78/23.98  [696]
% 23.78/23.98  multiplication(multiplication(A,c(c(B))),multiplication(c(B),C)) -> zero
% 23.78/23.98  collapsed.
% 23.78/23.98  Current number of equations to process: 4087
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 789
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1098]
% 23.78/23.98  multiplication(multiplication(A,multiplication(B,codomain(C))),multiplication(
% 23.78/23.98                                                                 coantidomain(C),X0))
% 23.78/23.98  -> zero
% 23.78/23.98  Current number of equations to process: 4201
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 790
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1099]
% 23.78/23.98  multiplication(multiplication(A,codomain(B)),multiplication(multiplication(
% 23.78/23.98                                                              coantidomain(B),C),X0))
% 23.78/23.98  -> zero
% 23.78/23.98  Current number of equations to process: 4200
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 791
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1100] ifeq2(one,c(c(A)),leq(antidomain(A),c(c(A))),true) -> true
% 23.78/23.98  Current number of equations to process: 4202
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 792
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1101]
% 23.78/23.98  leq(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 23.78/23.98                                    c(c(sK3_goals_X3)))),c(c(sK2_goals_X4))) ->
% 23.78/23.98  true
% 23.78/23.98  Current number of equations to process: 4201
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 793
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1102]
% 23.78/23.98  c(c(multiplication(A,B))) addition antidomain(multiplication(A,c(c(B)))) ->
% 23.78/23.98  one
% 23.78/23.98  Current number of equations to process: 4200
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 794
% 23.78/23.98  New rule produced : [1103] ifeq2(one,c(c(A)),leq(c(A),c(c(A))),true) -> true
% 23.78/23.98  Current number of equations to process: 4289
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 795
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1104]
% 23.78/23.98  backward_diamond(multiplication(multiplication(codomain(C),A),B),C) ->
% 23.78/23.98  backward_diamond(multiplication(A,B),C)
% 23.78/23.98  Current number of equations to process: 4298
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 796
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1105]
% 23.78/23.98  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 23.78/23.98                                                                     c(
% 23.78/23.98                                                                     c(C)))) ->
% 23.78/23.98  zero
% 23.78/23.98  Current number of equations to process: 4314
% 23.78/23.98  Current number of ordered equations: 0
% 23.78/23.98  Current number of rules: 797
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1106]
% 23.78/23.98  leq(multiplication(coantidomain(A),antidomain(B)) addition C,one addition C)
% 23.78/23.98  -> true
% 23.78/23.98  Current number of equations to process: 4341
% 23.78/23.98  Current number of ordered equations: 1
% 23.78/23.98  Current number of rules: 798
% 23.78/23.98  New rule produced :
% 23.78/23.98  [1107]
% 23.78/23.98  leq(multiplication(codomain(A),antidomain(B)) addition C,one addition C) ->
% 35.07/35.22  true
% 35.07/35.22  Current number of equations to process: 4341
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 799
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1108]
% 35.07/35.22  leq(multiplication(antidomain(A),antidomain(B)) addition C,one addition C) ->
% 35.07/35.22  true
% 35.07/35.22  Current number of equations to process: 4390
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 800
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1109]
% 35.07/35.22  leq(multiplication(c(A),antidomain(B)) addition C,one addition C) -> true
% 35.07/35.22  Current number of equations to process: 4504
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 801
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1110]
% 35.07/35.22  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 35.07/35.22                                                             c(c(C))))),B),C)
% 35.07/35.22  -> zero
% 35.07/35.22  Current number of equations to process: 4564
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 802
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1111]
% 35.07/35.22  leq(multiplication(coantidomain(A),codomain(B)) addition C,one addition C) ->
% 35.07/35.22  true
% 35.07/35.22  Current number of equations to process: 4590
% 35.07/35.22  Current number of ordered equations: 1
% 35.07/35.22  Current number of rules: 803
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1112]
% 35.07/35.22  leq(multiplication(codomain(A),codomain(B)) addition C,one addition C) ->
% 35.07/35.22  true
% 35.07/35.22  Current number of equations to process: 4590
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 804
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1113]
% 35.07/35.22  leq(multiplication(antidomain(A),codomain(B)) addition C,one addition C) ->
% 35.07/35.22  true
% 35.07/35.22  Current number of equations to process: 4640
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 805
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1114]
% 35.07/35.22  leq(multiplication(c(A),codomain(B)) addition C,one addition C) -> true
% 35.07/35.22  Current number of equations to process: 4755
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 806
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1115]
% 35.07/35.22  leq(multiplication(coantidomain(A),coantidomain(B)) addition C,one addition C)
% 35.07/35.22  -> true
% 35.07/35.22  Current number of equations to process: 4842
% 35.07/35.22  Current number of ordered equations: 1
% 35.07/35.22  Current number of rules: 807
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1116]
% 35.07/35.22  leq(multiplication(codomain(A),coantidomain(B)) addition C,one addition C) ->
% 35.07/35.22  true
% 35.07/35.22  Current number of equations to process: 4842
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 808
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1117]
% 35.07/35.22  leq(multiplication(antidomain(A),coantidomain(B)) addition C,one addition C)
% 35.07/35.22  -> true
% 35.07/35.22  Current number of equations to process: 4890
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 809
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1118]
% 35.07/35.22  leq(multiplication(c(A),coantidomain(B)) addition C,one addition C) -> true
% 35.07/35.22  Current number of equations to process: 2330
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 810
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1119]
% 35.07/35.22  leq(multiplication(antidomain(A),c(B)) addition C,one addition C) -> true
% 35.07/35.22  Current number of equations to process: 2580
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 811
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1120]
% 35.07/35.22  leq(multiplication(codomain(A),c(B)) addition C,one addition C) -> true
% 35.07/35.22  Current number of equations to process: 2835
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 812
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1121]
% 35.07/35.22  leq(multiplication(coantidomain(A),c(B)) addition C,one addition C) -> true
% 35.07/35.22  Current number of equations to process: 3085
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 813
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1122]
% 35.07/35.22  multiplication(multiplication(A,codomain(B)),multiplication(C,coantidomain(
% 35.07/35.22                                                                backward_diamond(C,B))))
% 35.07/35.22  -> zero
% 35.07/35.22  Current number of equations to process: 3369
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 814
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1123]
% 35.07/35.22  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 35.07/35.22                                                                 backward_diamond(C,B)))
% 35.07/35.22  -> zero
% 35.07/35.22  Current number of equations to process: 3670
% 35.07/35.22  Current number of ordered equations: 0
% 35.07/35.22  Current number of rules: 815
% 35.07/35.22  New rule produced :
% 35.07/35.22  [1124]
% 35.07/35.22  multiplication(multiplication(A,B),multiplication(coantidomain(backward_diamond(B,A)),C))
% 35.07/35.22  -> zero
% 35.07/35.22  Current number of equations to process: 3826
% 35.07/35.22  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 816
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1125]
% 36.37/36.53  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(
% 36.37/36.53                                                              backward_diamond(B,A)),C))
% 36.37/36.53  -> zero
% 36.37/36.53  Current number of equations to process: 3830
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 817
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1126]
% 36.37/36.53  multiplication(c(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 36.37/36.53  -> zero
% 36.37/36.53  Current number of equations to process: 3911
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 818
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1127]
% 36.37/36.53  coantidomain(codomain(B) addition multiplication(codomain(B),A)) ->
% 36.37/36.53  coantidomain(backward_diamond(one addition A,B))
% 36.37/36.53  Current number of equations to process: 3957
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 819
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1128]
% 36.37/36.53  c(c(multiplication(A,antidomain(B)))) addition antidomain(multiplication(A,
% 36.37/36.53                                                            c(B))) -> one
% 36.37/36.53  Current number of equations to process: 4002
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 820
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1129]
% 36.37/36.53  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(B))) -> one
% 36.37/36.53  Current number of equations to process: 4000
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 821
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1130]
% 36.37/36.53  multiplication(A,multiplication(B,c(c(C)))) addition multiplication(A,B) ->
% 36.37/36.53  multiplication(A,B)
% 36.37/36.53  Current number of equations to process: 3997
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 822
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1131]
% 36.37/36.53  multiplication(multiplication(A,c(c(C))),B) addition multiplication(A,B) ->
% 36.37/36.53  multiplication(A,B)
% 36.37/36.53  Current number of equations to process: 3996
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 823
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1132]
% 36.37/36.53  multiplication(multiplication(c(c(A)),B),C) addition multiplication(B,C) ->
% 36.37/36.53  multiplication(B,C)
% 36.37/36.53  Current number of equations to process: 3985
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 824
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1133]
% 36.37/36.53  multiplication(A,multiplication(c(c(C)),B)) addition multiplication(A,B) ->
% 36.37/36.53  multiplication(A,B)
% 36.37/36.53  Current number of equations to process: 3984
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 825
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1134] ifeq2(one addition A,one,leq(c(B) addition A,one),true) -> true
% 36.37/36.53  Current number of equations to process: 3972
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 826
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1135] ifeq(leq(c(A) addition B,one),true,one addition B,one) -> one
% 36.37/36.53  Current number of equations to process: 3971
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 827
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1136]
% 36.37/36.53  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 36.37/36.53                                                                   c(c(C)))))
% 36.37/36.53  -> zero
% 36.37/36.53  Current number of equations to process: 3881
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 828
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1137]
% 36.37/36.53  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 36.37/36.53                                                             antidomain(C),X0))
% 36.37/36.53  -> zero
% 36.37/36.53  Current number of equations to process: 3880
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 829
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1138]
% 36.37/36.53  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 36.37/36.53                                                          antidomain(B),C),X0))
% 36.37/36.53  -> zero
% 36.37/36.53  Current number of equations to process: 3879
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 830
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1139]
% 36.37/36.53  multiplication(multiplication(A,forward_diamond(B,antidomain(C))),antidomain(
% 36.37/36.53                                                                    multiplication(B,
% 36.37/36.53                                                                    c(C)))) ->
% 36.37/36.53  zero
% 36.37/36.53  Current number of equations to process: 3878
% 36.37/36.53  Current number of ordered equations: 0
% 36.37/36.53  Current number of rules: 831
% 36.37/36.53  New rule produced :
% 36.37/36.53  [1140]
% 36.37/36.53  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 36.37/36.53                                                                c(c(B)))),C))
% 36.56/36.69  -> zero
% 36.56/36.69  Current number of equations to process: 3877
% 36.56/36.69  Current number of ordered equations: 0
% 36.56/36.69  Current number of rules: 832
% 36.56/36.69  New rule produced :
% 36.56/36.69  [1141]
% 36.56/36.69  multiplication(forward_diamond(A,antidomain(B)),multiplication(antidomain(
% 36.56/36.69                                                                 multiplication(A,
% 36.56/36.69                                                                 c(B))),C)) ->
% 36.56/36.69  zero
% 36.56/36.69  Current number of equations to process: 3875
% 36.56/36.69  Current number of ordered equations: 0
% 36.56/36.69  Current number of rules: 833
% 36.56/36.69  New rule produced :
% 36.56/36.69  [1142]
% 36.56/36.69  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(B)))) ->
% 36.56/36.69  zero
% 36.56/36.69  Current number of equations to process: 3874
% 36.56/36.69  Current number of ordered equations: 0
% 36.56/36.69  Current number of rules: 834
% 36.56/36.69  New rule produced :
% 36.56/36.69  [1143]
% 36.56/36.69  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 36.56/36.69                                                          c(c(C)),X0)) -> zero
% 36.56/36.69  Current number of equations to process: 3871
% 36.56/36.69  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 835
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1144]
% 36.56/36.70  multiplication(multiplication(A,c(B)),multiplication(multiplication(c(c(B)),C),X0))
% 36.56/36.70  -> zero
% 36.56/36.70  Current number of equations to process: 3870
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 836
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1145]
% 36.56/36.70  multiplication(A,forward_diamond(B,C)) addition multiplication(A,antidomain(
% 36.56/36.70                                                                   forward_diamond(B,C)))
% 36.56/36.70  -> A
% 36.56/36.70  Current number of equations to process: 3868
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 837
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1146]
% 36.56/36.70  multiplication(forward_diamond(B,C),A) addition multiplication(antidomain(
% 36.56/36.70                                                                 forward_diamond(B,C)),A)
% 36.56/36.70  -> A
% 36.56/36.70  Current number of equations to process: 3867
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 838
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1147]
% 36.56/36.70  leq(multiplication(A,c(B)) addition C,A addition C addition X0) -> true
% 36.56/36.70  Current number of equations to process: 3865
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 839
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1148]
% 36.56/36.70  multiplication(A,backward_diamond(B,C)) addition multiplication(A,coantidomain(
% 36.56/36.70                                                                    backward_diamond(B,C)))
% 36.56/36.70  -> A
% 36.56/36.70  Current number of equations to process: 3864
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 840
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1149]
% 36.56/36.70  multiplication(backward_diamond(B,C),A) addition multiplication(coantidomain(
% 36.56/36.70                                                                  backward_diamond(B,C)),A)
% 36.56/36.70  -> A
% 36.56/36.70  Current number of equations to process: 3863
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 841
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1150]
% 36.56/36.70  multiplication(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 36.56/36.70                                                                      coantidomain(C),X0),X1))
% 36.56/36.70  -> zero
% 36.56/36.70  Current number of equations to process: 3862
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 842
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1151]
% 36.56/36.70  multiplication(multiplication(A,B),multiplication(multiplication(multiplication(
% 36.56/36.70                                                                   coantidomain(B),C),X0),X1))
% 36.56/36.70  -> zero
% 36.56/36.70  Current number of equations to process: 3861
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 843
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1152]
% 36.56/36.70  multiplication(multiplication(A,multiplication(B,multiplication(C,X0))),
% 36.56/36.70  multiplication(coantidomain(X0),X1)) -> zero
% 36.56/36.70  Current number of equations to process: 3859
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 844
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1153]
% 36.56/36.70  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(
% 36.56/36.70                                                                   multiplication(C,X0),X1))
% 36.56/36.70  -> zero
% 36.56/36.70  Current number of equations to process: 3852
% 36.56/36.70  Current number of ordered equations: 0
% 36.56/36.70  Current number of rules: 845
% 36.56/36.70  New rule produced :
% 36.56/36.70  [1154]
% 36.56/36.70  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(
% 36.56/36.70                                                                multiplication(B,C),X0),X1))
% 36.77/36.92  -> zero
% 36.77/36.92  Current number of equations to process: 3851
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 846
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1155]
% 36.77/36.92  multiplication(multiplication(A,multiplication(B,multiplication(C,antidomain(X0)))),
% 36.77/36.92  multiplication(X0,X1)) -> zero
% 36.77/36.92  Current number of equations to process: 3849
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 847
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1156]
% 36.77/36.92  multiplication(multiplication(multiplication(A,B),C),codomain(multiplication(B,C)))
% 36.77/36.92  -> multiplication(multiplication(A,B),C)
% 36.77/36.92  Current number of equations to process: 3842
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 848
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1157]
% 36.77/36.92  multiplication(multiplication(A,B),multiplication(multiplication(C,coantidomain(
% 36.77/36.92                                                                     multiplication(B,C))),X0))
% 36.77/36.92  -> zero
% 36.77/36.92  Current number of equations to process: 3841
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 849
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1158]
% 36.77/36.92  multiplication(multiplication(A,multiplication(antidomain(multiplication(B,C)),B)),
% 36.77/36.92  multiplication(C,X0)) -> zero
% 36.77/36.92  Current number of equations to process: 3840
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 850
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1159]
% 36.77/36.92  leq(forward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 36.77/36.92  -> true
% 36.77/36.92  Current number of equations to process: 3839
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 851
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1160]
% 36.77/36.92  leq(backward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 36.77/36.92  -> true
% 36.77/36.92  Current number of equations to process: 3838
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 852
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1161]
% 36.77/36.92  leq(forward_diamond(A,B) addition codomain(C) addition X0,one addition X0) ->
% 36.77/36.92  true
% 36.77/36.92  Current number of equations to process: 3837
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 853
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1162]
% 36.77/36.92  leq(backward_diamond(A,B) addition codomain(C) addition X0,one addition X0)
% 36.77/36.92  -> true
% 36.77/36.92  Current number of equations to process: 3836
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 854
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1163]
% 36.77/36.92  leq(forward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 36.77/36.92  -> true
% 36.77/36.92  Current number of equations to process: 3835
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 855
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1164]
% 36.77/36.92  leq(backward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 36.77/36.92  -> true
% 36.77/36.92  Current number of equations to process: 3834
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 856
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1165]
% 36.77/36.92  leq(forward_diamond(A,B) addition c(C) addition X0,one addition X0) -> true
% 36.77/36.92  Current number of equations to process: 3833
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 857
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1166]
% 36.77/36.92  leq(backward_diamond(A,B) addition c(C) addition X0,one addition X0) -> true
% 36.77/36.92  Current number of equations to process: 3832
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 858
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1167]
% 36.77/36.92  leq(forward_diamond(A,B) addition multiplication(C,codomain(X0)),one addition C)
% 36.77/36.92  -> true
% 36.77/36.92  Current number of equations to process: 3823
% 36.77/36.92  Current number of ordered equations: 1
% 36.77/36.92  Current number of rules: 859
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1168]
% 36.77/36.92  leq(forward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 36.77/36.92  one addition C) -> true
% 36.77/36.92  Current number of equations to process: 3823
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 860
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1169]
% 36.77/36.92  leq(forward_diamond(A,B) addition multiplication(codomain(C),X0),one addition X0)
% 36.77/36.92  -> true
% 36.77/36.92  Current number of equations to process: 3821
% 36.77/36.92  Current number of ordered equations: 1
% 36.77/36.92  Current number of rules: 861
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1170]
% 36.77/36.92  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 36.77/36.92  one addition X0) -> true
% 36.77/36.92  Current number of equations to process: 3821
% 36.77/36.92  Current number of ordered equations: 0
% 36.77/36.92  Current number of rules: 862
% 36.77/36.92  New rule produced :
% 36.77/36.92  [1171]
% 36.77/36.92  leq(forward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3819
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 863
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1172]
% 36.95/37.08  leq(forward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3818
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 864
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1173]
% 36.95/37.08  leq(backward_diamond(A,B) addition multiplication(C,codomain(X0)),one addition C)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3806
% 36.95/37.08  Current number of ordered equations: 1
% 36.95/37.08  Current number of rules: 865
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1174]
% 36.95/37.08  leq(backward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 36.95/37.08  one addition C) -> true
% 36.95/37.08  Current number of equations to process: 3806
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 866
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1175]
% 36.95/37.08  leq(backward_diamond(A,B) addition multiplication(codomain(C),X0),one addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3804
% 36.95/37.08  Current number of ordered equations: 1
% 36.95/37.08  Current number of rules: 867
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1176]
% 36.95/37.08  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 36.95/37.08  one addition X0) -> true
% 36.95/37.08  Current number of equations to process: 3804
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 868
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1177]
% 36.95/37.08  leq(backward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3802
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 869
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1178]
% 36.95/37.08  leq(backward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3801
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 870
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1179]
% 36.95/37.08  forward_diamond(multiplication(A,antidomain(forward_diamond(B,antidomain(C)))),
% 36.95/37.08  multiplication(B,c(C))) -> zero
% 36.95/37.08  Current number of equations to process: 3796
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 871
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1180]
% 36.95/37.08  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B) addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3795
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 872
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1181]
% 36.95/37.08  multiplication(multiplication(A,B),multiplication(C,codomain(multiplication(B,C))))
% 36.95/37.08  -> multiplication(A,multiplication(B,C))
% 36.95/37.08  Current number of equations to process: 3794
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 873
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1182]
% 36.95/37.08  leq(multiplication(A,multiplication(B,codomain(C))),multiplication(A,B) addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3791
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 874
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1183]
% 36.95/37.08  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B) addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3790
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 875
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1184]
% 36.95/37.08  multiplication(multiplication(multiplication(A,antidomain(coantidomain(B))),C),
% 36.95/37.08  coantidomain(backward_diamond(C,B))) -> zero
% 36.95/37.08  Current number of equations to process: 3789
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 876
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1185]
% 36.95/37.08  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C) addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3788
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 877
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1186]
% 36.95/37.08  leq(multiplication(multiplication(codomain(A),B),C),multiplication(B,C) addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3787
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 878
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1187]
% 36.95/37.08  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C) addition X0)
% 36.95/37.08  -> true
% 36.95/37.08  Current number of equations to process: 3786
% 36.95/37.08  Current number of ordered equations: 0
% 36.95/37.08  Current number of rules: 879
% 36.95/37.08  New rule produced :
% 36.95/37.08  [1188]
% 36.95/37.08  multiplication(multiplication(A,antidomain(coantidomain(B))),multiplication(C,
% 36.95/37.08                                                               coantidomain(
% 37.08/37.24                                                               backward_diamond(C,B))))
% 37.08/37.24  -> zero
% 37.08/37.24  Current number of equations to process: 3784
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 880
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1189]
% 37.08/37.24  leq(antidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3783
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 881
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1190]
% 37.08/37.24  leq(codomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3782
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 882
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1191]
% 37.08/37.24  leq(coantidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3781
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 883
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1192]
% 37.08/37.24  leq(c(A) addition multiplication(antidomain(B),coantidomain(C)),one addition X0)
% 37.08/37.24  -> true
% 37.08/37.24  Current number of equations to process: 3780
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 884
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1193]
% 37.08/37.24  leq(antidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3777
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 885
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1194]
% 37.08/37.24  leq(codomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3776
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 886
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1195]
% 37.08/37.24  leq(coantidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3775
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 887
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1196]
% 37.08/37.24  leq(c(A) addition multiplication(coantidomain(B),antidomain(C)),one addition X0)
% 37.08/37.24  -> true
% 37.08/37.24  Current number of equations to process: 3774
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 888
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1197]
% 37.08/37.24  leq(antidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3771
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 889
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1198]
% 37.08/37.24  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3770
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 890
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1199]
% 37.08/37.24  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3769
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 891
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1200]
% 37.08/37.24  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one addition X0)
% 37.08/37.24  -> true
% 37.08/37.24  Current number of equations to process: 3768
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 892
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1201]
% 37.08/37.24  leq(antidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3765
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 893
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1202]
% 37.08/37.24  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3764
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 894
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1203]
% 37.08/37.24  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 37.08/37.24  one addition X0) -> true
% 37.08/37.24  Current number of equations to process: 3763
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 895
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1204]
% 37.08/37.24  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one addition X0)
% 37.08/37.24  -> true
% 37.08/37.24  Current number of equations to process: 3762
% 37.08/37.24  Current number of ordered equations: 0
% 37.08/37.24  Current number of rules: 896
% 37.08/37.24  New rule produced :
% 37.08/37.24  [1205]
% 37.08/37.24  leq(antidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 37.34/37.50  one addition X0) -> true
% 37.34/37.50  Current number of equations to process: 3753
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 897
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1206]
% 37.34/37.50  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 37.34/37.50  one addition X0) -> true
% 37.34/37.50  Current number of equations to process: 3752
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 898
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1207]
% 37.34/37.50  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 37.34/37.50  one addition X0) -> true
% 37.34/37.50  Current number of equations to process: 3751
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 899
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1208]
% 37.34/37.50  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one addition X0)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3750
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 900
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1209]
% 37.34/37.50  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 37.34/37.50  multiplication(backward_diamond(B,C),X0)) -> zero
% 37.34/37.50  Current number of equations to process: 3747
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 901
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1210]
% 37.34/37.50  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 37.34/37.50                                                             c(C),X0)) -> zero
% 37.34/37.50  Current number of equations to process: 3739
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 902
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1211]
% 37.34/37.50  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 37.34/37.50                                                          c(B),C),X0)) -> zero
% 37.34/37.50  Current number of equations to process: 3724
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 903
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1212]
% 37.34/37.50  leq(antidomain(A) addition multiplication(B,antidomain(C)),c(A) addition B)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3718
% 37.34/37.50  Current number of ordered equations: 1
% 37.34/37.50  Current number of rules: 904
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1213]
% 37.34/37.50  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(A) addition C)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3718
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 905
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1214]
% 37.34/37.50  leq(multiplication(forward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3716
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 906
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1215]
% 37.34/37.50  leq(multiplication(backward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3714
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 907
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1216]
% 37.34/37.50  leq(antidomain(A) addition multiplication(B,codomain(C)),c(A) addition B) ->
% 37.34/37.50  true
% 37.34/37.50  Current number of equations to process: 3708
% 37.34/37.50  Current number of ordered equations: 1
% 37.34/37.50  Current number of rules: 908
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1217]
% 37.34/37.50  leq(multiplication(antidomain(A),codomain(B)) addition C,c(A) addition C) ->
% 37.34/37.50  true
% 37.34/37.50  Current number of equations to process: 3708
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 909
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1218]
% 37.34/37.50  leq(multiplication(forward_diamond(A,B),codomain(C)) addition X0,one addition X0)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3706
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 910
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1219]
% 37.34/37.50  leq(multiplication(backward_diamond(A,B),codomain(C)) addition X0,one addition X0)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3704
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 911
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1220]
% 37.34/37.50  leq(antidomain(A) addition multiplication(B,coantidomain(C)),c(A) addition B)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3698
% 37.34/37.50  Current number of ordered equations: 1
% 37.34/37.50  Current number of rules: 912
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1221]
% 37.34/37.50  leq(multiplication(antidomain(A),coantidomain(B)) addition C,c(A) addition C)
% 37.34/37.50  -> true
% 37.34/37.50  Current number of equations to process: 3698
% 37.34/37.50  Current number of ordered equations: 0
% 37.34/37.50  Current number of rules: 913
% 37.34/37.50  New rule produced :
% 37.34/37.50  [1222]
% 37.34/37.50  leq(multiplication(forward_diamond(A,B),coantidomain(C)) addition X0,
% 37.64/37.78  one addition X0) -> true
% 37.64/37.78  Current number of equations to process: 3696
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 914
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1223]
% 37.64/37.78  leq(multiplication(backward_diamond(A,B),coantidomain(C)) addition X0,
% 37.64/37.78  one addition X0) -> true
% 37.64/37.78  Current number of equations to process: 3694
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 915
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1224]
% 37.64/37.78  leq(antidomain(A) addition multiplication(antidomain(B),C),c(A) addition C)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3688
% 37.64/37.78  Current number of ordered equations: 1
% 37.64/37.78  Current number of rules: 916
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1225]
% 37.64/37.78  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(B) addition C)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3688
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 917
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1226]
% 37.64/37.78  leq(multiplication(antidomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3686
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 918
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1227]
% 37.64/37.78  leq(multiplication(antidomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3684
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 919
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1228]
% 37.64/37.78  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B addition C)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3679
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 920
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1229]
% 37.64/37.78  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B addition C)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3678
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 921
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1230]
% 37.64/37.78  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B addition C)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3677
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 922
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1231]
% 37.64/37.78  leq(antidomain(A) addition multiplication(codomain(B),C),c(A) addition C) ->
% 37.64/37.78  true
% 37.64/37.78  Current number of equations to process: 3675
% 37.64/37.78  Current number of ordered equations: 1
% 37.64/37.78  Current number of rules: 923
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1232]
% 37.64/37.78  leq(multiplication(codomain(A),antidomain(B)) addition C,c(B) addition C) ->
% 37.64/37.78  true
% 37.64/37.78  Current number of equations to process: 3675
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 924
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1233]
% 37.64/37.78  leq(multiplication(codomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3673
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 925
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1234]
% 37.64/37.78  leq(multiplication(codomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3671
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 926
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1235]
% 37.64/37.78  leq(antidomain(A) addition multiplication(coantidomain(B),C),c(A) addition C)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3665
% 37.64/37.78  Current number of ordered equations: 1
% 37.64/37.78  Current number of rules: 927
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1236]
% 37.64/37.78  leq(multiplication(coantidomain(A),antidomain(B)) addition C,c(B) addition C)
% 37.64/37.78  -> true
% 37.64/37.78  Current number of equations to process: 3665
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 928
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1237]
% 37.64/37.78  leq(multiplication(coantidomain(A),forward_diamond(B,C)) addition X0,
% 37.64/37.78  one addition X0) -> true
% 37.64/37.78  Current number of equations to process: 3663
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 929
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1238]
% 37.64/37.78  leq(multiplication(coantidomain(A),backward_diamond(B,C)) addition X0,
% 37.64/37.78  one addition X0) -> true
% 37.64/37.78  Current number of equations to process: 3661
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 930
% 37.64/37.78  New rule produced :
% 37.64/37.78  [1239]
% 37.64/37.78  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 37.64/37.78                                                                     backward_diamond(C,B)),X0)))
% 37.64/37.78  -> zero
% 37.64/37.78  Current number of equations to process: 3653
% 37.64/37.78  Current number of ordered equations: 0
% 37.64/37.78  Current number of rules: 931
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1240]
% 38.37/38.53  multiplication(multiplication(A,c(B)),multiplication(C,coantidomain(multiplication(
% 38.37/38.53                                                                      antidomain(B),C))))
% 38.37/38.53  -> zero
% 38.37/38.53  Current number of equations to process: 3650
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 932
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1241]
% 38.37/38.53  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 38.37/38.53                                                       coantidomain(backward_diamond(X0,C))))
% 38.37/38.53  -> zero
% 38.37/38.53  Current number of equations to process: 3648
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 933
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1242]
% 38.37/38.53  multiplication(multiplication(multiplication(A,c(B)),C),coantidomain(
% 38.37/38.53                                                          multiplication(
% 38.37/38.53                                                          antidomain(B),C))) ->
% 38.37/38.53  zero
% 38.37/38.53  Current number of equations to process: 3637
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 934
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1243]
% 38.37/38.53  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 38.37/38.53  coantidomain(backward_diamond(X0,C))) -> zero
% 38.37/38.53  Current number of equations to process: 3635
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 935
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1244]
% 38.37/38.53  multiplication(multiplication(c(A),B),multiplication(coantidomain(multiplication(
% 38.37/38.53                                                                    antidomain(A),B)),C))
% 38.37/38.53  -> zero
% 38.37/38.53  Current number of equations to process: 3631
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 936
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1245]
% 38.37/38.53  multiplication(multiplication(antidomain(coantidomain(A)),B),multiplication(
% 38.37/38.53                                                               coantidomain(
% 38.37/38.53                                                               backward_diamond(B,A)),C))
% 38.37/38.53  -> zero
% 38.37/38.53  Current number of equations to process: 3630
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 937
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1246]
% 38.37/38.53  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 38.37/38.53                                                                      backward_diamond(C,B)),X0))
% 38.37/38.53  -> zero
% 38.37/38.53  Current number of equations to process: 3629
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 938
% 38.37/38.53  New rule produced : [1247] c(c(forward_diamond(A,B))) -> forward_diamond(A,B)
% 38.37/38.53  Rule [660] c(c(forward_diamond(X0,c(c(X1))))) -> forward_diamond(X0,X1)
% 38.37/38.53  collapsed.
% 38.37/38.53  Rule
% 38.37/38.53  [680]
% 38.37/38.53  c(c(forward_diamond(A,antidomain(B)))) -> forward_diamond(A,antidomain(B))
% 38.37/38.53  collapsed.
% 38.37/38.53  Rule
% 38.37/38.53  [703]
% 38.37/38.53  c(c(forward_diamond(A,multiplication(B,c(c(C)))))) ->
% 38.37/38.53  forward_diamond(A,multiplication(B,c(c(C)))) collapsed.
% 38.37/38.53  Rule
% 38.37/38.53  [745]
% 38.37/38.53  c(c(forward_diamond(multiplication(A,B),C))) ->
% 38.37/38.53  forward_diamond(multiplication(A,B),C) collapsed.
% 38.37/38.53  Current number of equations to process: 3678
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 935
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1248] forward_diamond(X0,c(c(X1))) -> forward_diamond(X0,X1)
% 38.37/38.53  Rule [670] forward_diamond(c(A),c(c(A))) -> zero collapsed.
% 38.37/38.53  Rule
% 38.37/38.53  [679]
% 38.37/38.53  antidomain(forward_diamond(A,c(c(B)))) -> antidomain(forward_diamond(A,B))
% 38.37/38.53  collapsed.
% 38.37/38.53  Current number of equations to process: 3677
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 934
% 38.37/38.53  New rule produced : [1249] forward_diamond(antidomain(A),A) -> zero
% 38.37/38.53  Current number of equations to process: 3678
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 935
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1250] forward_diamond(antidomain(B) addition A,B) -> forward_diamond(A,B)
% 38.37/38.53  Current number of equations to process: 3684
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 936
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1251] forward_diamond(multiplication(c(A),antidomain(B)),A) -> zero
% 38.37/38.53  Current number of equations to process: 3683
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 937
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1252] forward_diamond(multiplication(c(A),codomain(B)),A) -> zero
% 38.37/38.53  Current number of equations to process: 3682
% 38.37/38.53  Current number of ordered equations: 0
% 38.37/38.53  Current number of rules: 938
% 38.37/38.53  New rule produced :
% 38.37/38.53  [1253] forward_diamond(multiplication(c(A),coantidomain(B)),A) -> zero
% 39.37/39.51  Current number of equations to process: 3681
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 939
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1254]
% 39.37/39.51  forward_diamond(c(c(A)) addition B,antidomain(A)) ->
% 39.37/39.51  forward_diamond(B,antidomain(A))
% 39.37/39.51  Current number of equations to process: 3682
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 940
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1255]
% 39.37/39.51  forward_diamond(multiplication(c(B),antidomain(C)) addition A,B) ->
% 39.37/39.51  forward_diamond(A,B)
% 39.37/39.51  Current number of equations to process: 3684
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 941
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1256]
% 39.37/39.51  forward_diamond(multiplication(c(B),codomain(C)) addition A,B) ->
% 39.37/39.51  forward_diamond(A,B)
% 39.37/39.51  Current number of equations to process: 3683
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 942
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1257]
% 39.37/39.51  forward_diamond(multiplication(c(B),coantidomain(C)) addition A,B) ->
% 39.37/39.51  forward_diamond(A,B)
% 39.37/39.51  Current number of equations to process: 3682
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 943
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1258]
% 39.37/39.51  c(c(c(B) addition multiplication(A,c(B)))) ->
% 39.37/39.51  forward_diamond(one addition A,antidomain(B))
% 39.37/39.51  Current number of equations to process: 3687
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 944
% 39.37/39.51  New rule produced : [1259] antidomain(one addition A) -> zero
% 39.37/39.51  Current number of equations to process: 3718
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 945
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1260] multiplication(multiplication(A,antidomain(B addition C)),B) -> zero
% 39.37/39.51  Current number of equations to process: 3719
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 946
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1261] multiplication(antidomain(A addition B),multiplication(A,C)) -> zero
% 39.37/39.51  Current number of equations to process: 3718
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 947
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1262] multiplication(antidomain(A),multiplication(codomain(B),A)) -> zero
% 39.37/39.51  Current number of equations to process: 3726
% 39.37/39.51  Current number of ordered equations: 1
% 39.37/39.51  Current number of rules: 948
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1263]
% 39.37/39.51  multiplication(antidomain(A),multiplication(coantidomain(B),A)) -> zero
% 39.37/39.51  Current number of equations to process: 3726
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 949
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1264] multiplication(antidomain(A),multiplication(antidomain(B),A)) -> zero
% 39.37/39.51  Current number of equations to process: 3741
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 950
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1265] multiplication(antidomain(c(A) addition B),antidomain(A)) -> zero
% 39.37/39.51  Current number of equations to process: 3742
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 951
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1266]
% 39.37/39.51  codomain(A) addition antidomain(coantidomain(A) addition B) -> codomain(A)
% 39.37/39.51  Current number of equations to process: 3743
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 952
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1267]
% 39.37/39.51  multiplication(antidomain(A addition B),multiplication(coantidomain(C),A)) ->
% 39.37/39.51  zero
% 39.37/39.51  Current number of equations to process: 3751
% 39.37/39.51  Current number of ordered equations: 1
% 39.37/39.51  Current number of rules: 953
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1268]
% 39.37/39.51  multiplication(antidomain(A addition B),multiplication(codomain(C),A)) ->
% 39.37/39.51  zero
% 39.37/39.51  Current number of equations to process: 3751
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 954
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1269]
% 39.37/39.51  multiplication(antidomain(A addition B),multiplication(antidomain(C),A)) ->
% 39.37/39.51  zero
% 39.37/39.51  Current number of equations to process: 3750
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 955
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1270]
% 39.37/39.51  antidomain(forward_diamond(antidomain(c(A) addition B),antidomain(A))) -> one
% 39.37/39.51  Current number of equations to process: 3747
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 956
% 39.37/39.51  New rule produced : [1271] coantidomain(one addition A) -> zero
% 39.37/39.51  Current number of equations to process: 3747
% 39.37/39.51  Current number of ordered equations: 0
% 39.37/39.51  Current number of rules: 957
% 39.37/39.51  New rule produced :
% 39.37/39.51  [1272] backward_diamond(coantidomain(codomain(A) addition B),A) -> zero
% 40.08/40.22  Current number of equations to process: 3749
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 958
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1273] multiplication(multiplication(A,B),coantidomain(B addition C)) -> zero
% 40.08/40.22  Current number of equations to process: 3748
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 959
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1274] multiplication(A,multiplication(coantidomain(A addition B),C)) -> zero
% 40.08/40.22  Current number of equations to process: 3747
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 960
% 40.08/40.22  New rule produced : [1275] multiplication(A,codomain(A addition B)) -> A
% 40.08/40.22  Current number of equations to process: 3757
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 961
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1276] multiplication(multiplication(A,codomain(B)),coantidomain(A)) -> zero
% 40.08/40.22  Current number of equations to process: 3755
% 40.08/40.22  Current number of ordered equations: 1
% 40.08/40.22  Current number of rules: 962
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1277]
% 40.08/40.22  multiplication(multiplication(A,coantidomain(B)),coantidomain(A)) -> zero
% 40.08/40.22  Current number of equations to process: 3755
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 963
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1278] multiplication(antidomain(A),coantidomain(c(A))) -> zero
% 40.08/40.22  Current number of equations to process: 3774
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 964
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1279]
% 40.08/40.22  multiplication(multiplication(A,antidomain(B)),coantidomain(A)) -> zero
% 40.08/40.22  Current number of equations to process: 3773
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 965
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1280] multiplication(antidomain(A),coantidomain(c(A) addition B)) -> zero
% 40.08/40.22  Current number of equations to process: 3772
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 966
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1281]
% 40.08/40.22  codomain(A) addition coantidomain(coantidomain(A) addition B) -> codomain(A)
% 40.08/40.22  Current number of equations to process: 3780
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 967
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1282]
% 40.08/40.22  backward_diamond(multiplication(coantidomain(codomain(A) addition B),C),A) ->
% 40.08/40.22  zero
% 40.08/40.22  Current number of equations to process: 3799
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 968
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1283]
% 40.08/40.22  multiplication(multiplication(A,codomain(B)),coantidomain(A addition C)) ->
% 40.08/40.22  zero
% 40.08/40.22  Current number of equations to process: 3796
% 40.08/40.22  Current number of ordered equations: 1
% 40.08/40.22  Current number of rules: 969
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1284]
% 40.08/40.22  multiplication(multiplication(A,coantidomain(B)),coantidomain(A addition C))
% 40.08/40.22  -> zero
% 40.08/40.22  Current number of equations to process: 3796
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 970
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1285]
% 40.08/40.22  multiplication(multiplication(A,antidomain(B)),coantidomain(A addition C)) ->
% 40.08/40.22  zero
% 40.08/40.22  Current number of equations to process: 3795
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 971
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1286]
% 40.08/40.22  multiplication(antidomain(codomain(A) addition B),coantidomain(A)) ->
% 40.08/40.22  antidomain(codomain(A) addition B)
% 40.08/40.22  Current number of equations to process: 3797
% 40.08/40.22  Current number of ordered equations: 1
% 40.08/40.22  Current number of rules: 972
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1287]
% 40.08/40.22  multiplication(antidomain(coantidomain(A) addition B),codomain(A)) ->
% 40.08/40.22  antidomain(coantidomain(A) addition B)
% 40.08/40.22  Current number of equations to process: 3797
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 973
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1288]
% 40.08/40.22  multiplication(multiplication(A,antidomain(B addition C)),multiplication(B,X0))
% 40.08/40.22  -> zero
% 40.08/40.22  Current number of equations to process: 3796
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 974
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1289]
% 40.08/40.22  multiplication(antidomain(A addition B),multiplication(multiplication(A,C),X0))
% 40.08/40.22  -> zero
% 40.08/40.22  Current number of equations to process: 3795
% 40.08/40.22  Current number of ordered equations: 0
% 40.08/40.22  Current number of rules: 975
% 40.08/40.22  New rule produced :
% 40.08/40.22  [1290]
% 40.08/40.22  multiplication(codomain(A),coantidomain(coantidomain(A) addition B)) ->
% 40.08/40.22  coantidomain(coantidomain(A) addition B)
% 40.08/40.22  Current number of equations to process: 3786
% 40.08/40.22  Current number of ordered equations: 1
% 40.08/40.22  Current number of rules: 976
% 40.08/40.22  New rule produced :
% 41.71/41.84  [1291]
% 41.71/41.84  multiplication(coantidomain(A),coantidomain(codomain(A) addition B)) ->
% 41.71/41.84  coantidomain(codomain(A) addition B)
% 41.71/41.84  Current number of equations to process: 3786
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 977
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1292]
% 41.71/41.84  multiplication(multiplication(A,B),multiplication(coantidomain(B addition C),X0))
% 41.71/41.84  -> zero
% 41.71/41.84  Current number of equations to process: 3785
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 978
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1293]
% 41.71/41.84  multiplication(multiplication(A,multiplication(B,C)),coantidomain(C addition X0))
% 41.71/41.84  -> zero
% 41.71/41.84  Current number of equations to process: 3784
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 979
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1294]
% 41.71/41.84  backward_diamond(coantidomain(codomain(B) addition C) addition A,B) ->
% 41.71/41.84  backward_diamond(A,B)
% 41.71/41.84  Current number of equations to process: 3783
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 980
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1295]
% 41.71/41.84  codomain(antidomain(A) addition B) addition antidomain(A) ->
% 41.71/41.84  codomain(antidomain(A) addition B)
% 41.71/41.84  Current number of equations to process: 3781
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 981
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1296]
% 41.71/41.84  codomain(codomain(A) addition B) addition codomain(A) ->
% 41.71/41.84  codomain(codomain(A) addition B)
% 41.71/41.84  Current number of equations to process: 3780
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 982
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1297]
% 41.71/41.84  codomain(coantidomain(A) addition B) addition coantidomain(A) ->
% 41.71/41.84  codomain(coantidomain(A) addition B)
% 41.71/41.84  Current number of equations to process: 3779
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 983
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1298] leq(multiplication(A,antidomain(B)),multiplication(A,c(B))) -> true
% 41.71/41.84  Current number of equations to process: 3795
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 984
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1299]
% 41.71/41.84  backward_diamond(coantidomain(backward_diamond(A,B) addition C),multiplication(
% 41.71/41.84                                                                  codomain(B),A))
% 41.71/41.84  -> zero
% 41.71/41.84  Current number of equations to process: 3830
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 985
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1300]
% 41.71/41.84  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A) addition C)),B)
% 41.71/41.84  -> zero
% 41.71/41.84  Current number of equations to process: 3829
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 986
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1301]
% 41.71/41.84  backward_diamond(multiplication(multiplication(coantidomain(codomain(A) addition B),C),X0),A)
% 41.71/41.84  -> zero
% 41.71/41.84  Current number of equations to process: 3823
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 987
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1302]
% 41.71/41.84  leq(antidomain(multiplication(A,c(B))),antidomain(forward_diamond(A,antidomain(B))))
% 41.71/41.84  -> true
% 41.71/41.84  Current number of equations to process: 3822
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 988
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1303]
% 41.71/41.84  leq(multiplication(A,antidomain(B)),multiplication(A,c(B)) addition C) ->
% 41.71/41.84  true
% 41.71/41.84  Current number of equations to process: 3821
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 989
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1304] multiplication(antidomain(A),c(A)) -> antidomain(A)
% 41.71/41.84  Current number of equations to process: 3885
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 990
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1305]
% 41.71/41.84  multiplication(antidomain(multiplication(A,c(B))),multiplication(A,antidomain(B)))
% 41.71/41.84  -> zero
% 41.71/41.84  Current number of equations to process: 3977
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 991
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1306]
% 41.71/41.84  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 41.71/41.84                                                              c(B)))) -> zero
% 41.71/41.84  Current number of equations to process: 3976
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 992
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1307] leq(multiplication(antidomain(A),B),multiplication(c(A),B)) -> true
% 41.71/41.84  Current number of equations to process: 3987
% 41.71/41.84  Current number of ordered equations: 0
% 41.71/41.84  Current number of rules: 993
% 41.71/41.84  New rule produced :
% 41.71/41.84  [1308]
% 41.71/41.84  multiplication(antidomain(A),multiplication(coantidomain(c(A)),B)) -> zero
% 44.46/44.63  Current number of equations to process: 4001
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 994
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1309]
% 44.46/44.63  leq(multiplication(antidomain(A),B),multiplication(c(A),B) addition C) ->
% 44.46/44.63  true
% 44.46/44.63  Current number of equations to process: 4026
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 995
% 44.46/44.63  New rule produced : [1310] leq(multiplication(c(A),B),B) -> true
% 44.46/44.63  Rule [677] leq(multiplication(c(c(A)),B),B) -> true collapsed.
% 44.46/44.63  Current number of equations to process: 4096
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 995
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1311] leq(multiplication(c(A),B) addition C,B addition C) -> true
% 44.46/44.63  Rule [788] leq(multiplication(c(c(A)),B) addition C,B addition C) -> true
% 44.46/44.63  collapsed.
% 44.46/44.63  Current number of equations to process: 4099
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 995
% 44.46/44.63  New rule produced : [1312] leq(multiplication(c(A),B),B addition C) -> true
% 44.46/44.63  Rule [695] leq(multiplication(c(c(A)),B),B addition C) -> true collapsed.
% 44.46/44.63  Current number of equations to process: 4150
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 995
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1313]
% 44.46/44.63  multiplication(antidomain(multiplication(c(A),B)),multiplication(antidomain(A),B))
% 44.46/44.63  -> zero
% 44.46/44.63  Current number of equations to process: 4183
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 996
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1314]
% 44.46/44.63  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 44.46/44.63                                                              c(A),B))) -> zero
% 44.46/44.63  Current number of equations to process: 4182
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 997
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1315] leq(antidomain(A) addition antidomain(B),c(A) addition c(B)) -> true
% 44.46/44.63  Current number of equations to process: 4247
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 998
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1316]
% 44.46/44.63  leq(one,antidomain(multiplication(antidomain(antidomain(A) addition B),c(A))))
% 44.46/44.63  -> true
% 44.46/44.63  Current number of equations to process: 4300
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 999
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1317]
% 44.46/44.63  antidomain(multiplication(A,forward_diamond(coantidomain(A),B))) -> one
% 44.46/44.63  Current number of equations to process: 4301
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1000
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1318] antidomain(multiplication(antidomain(A),forward_diamond(A,B))) -> one
% 44.46/44.63  Current number of equations to process: 4302
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1001
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1319]
% 44.46/44.63  antidomain(multiplication(coantidomain(A),forward_diamond(codomain(A),B))) ->
% 44.46/44.63  one
% 44.46/44.63  Current number of equations to process: 4333
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1002
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1320]
% 44.46/44.63  antidomain(multiplication(multiplication(A,B),forward_diamond(coantidomain(B),C)))
% 44.46/44.63  -> one
% 44.46/44.63  Current number of equations to process: 4340
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1003
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1321]
% 44.46/44.63  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(B,C)))
% 44.46/44.63  -> one
% 44.46/44.63  Current number of equations to process: 4339
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1004
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1322]
% 44.46/44.63  antidomain(multiplication(A,forward_diamond(multiplication(coantidomain(A),B),C)))
% 44.46/44.63  -> one
% 44.46/44.63  Current number of equations to process: 4338
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1005
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1323]
% 44.46/44.63  antidomain(multiplication(antidomain(A),forward_diamond(multiplication(A,B),C)))
% 44.46/44.63  -> one
% 44.46/44.63  Current number of equations to process: 4337
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1006
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1324]
% 44.46/44.63  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 44.46/44.63                                                              codomain(B),C)))
% 44.46/44.63  -> one
% 44.46/44.63  Current number of equations to process: 4384
% 44.46/44.63  Current number of ordered equations: 0
% 44.46/44.63  Current number of rules: 1007
% 44.46/44.63  New rule produced :
% 44.46/44.63  [1325]
% 44.46/44.63  antidomain(multiplication(coantidomain(A),forward_diamond(multiplication(
% 44.46/44.63                                                            codomain(A),B),C)))
% 45.26/45.39  -> one
% 45.26/45.39  Current number of equations to process: 4383
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1008
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1326]
% 45.26/45.39  antidomain(multiplication(multiplication(A,B),forward_diamond(multiplication(
% 45.26/45.39                                                                coantidomain(B),C),X0)))
% 45.26/45.39  -> one
% 45.26/45.39  Current number of equations to process: 4398
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1009
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1327]
% 45.26/45.39  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(
% 45.26/45.39                                                            multiplication(B,C),X0)))
% 45.26/45.39  -> one
% 45.26/45.39  Current number of equations to process: 4397
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1010
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1328]
% 45.26/45.39  forward_diamond(A,B) addition antidomain(multiplication(A,forward_diamond(
% 45.26/45.39                                                            codomain(A),B))) ->
% 45.26/45.39  one
% 45.26/45.39  Current number of equations to process: 4446
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1011
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1329]
% 45.26/45.39  multiplication(multiplication(antidomain(multiplication(A,B) addition C),A),
% 45.26/45.39  multiplication(B,X0)) -> zero
% 45.26/45.39  Current number of equations to process: 4549
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1012
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1330]
% 45.26/45.39  multiplication(antidomain(multiplication(A,B) addition C),multiplication(A,
% 45.26/45.39                                                            multiplication(B,X0)))
% 45.26/45.39  -> zero
% 45.26/45.39  Current number of equations to process: 4548
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1013
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1331]
% 45.26/45.39  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C) addition X0)))
% 45.26/45.39  -> zero
% 45.26/45.39  Current number of equations to process: 4545
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1014
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1332]
% 45.26/45.39  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C) addition X0))
% 45.26/45.39  -> zero
% 45.26/45.39  Current number of equations to process: 4544
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1015
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1333]
% 45.26/45.39  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),multiplication(A,
% 45.26/45.39                                                                    c(B))) ->
% 45.26/45.39  true
% 45.26/45.39  Current number of equations to process: 4539
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1016
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1334]
% 45.26/45.39  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),multiplication(A,
% 45.26/45.39                                                                  c(B))) ->
% 45.26/45.39  true
% 45.26/45.39  Current number of equations to process: 4538
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1017
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1335]
% 45.26/45.39  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),multiplication(A,
% 45.26/45.39                                                                      c(B))) ->
% 45.26/45.39  true
% 45.26/45.39  Current number of equations to process: 4537
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1018
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1336]
% 45.26/45.39  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 45.26/45.39                                                                    c(C))) ->
% 45.26/45.39  true
% 45.26/45.39  Current number of equations to process: 4536
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1019
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1337]
% 45.26/45.39  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 45.26/45.39                                                                  c(C))) ->
% 45.26/45.39  true
% 45.26/45.39  Current number of equations to process: 4535
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1020
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1338]
% 45.26/45.39  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 45.26/45.39                                                                      c(C))) ->
% 45.26/45.39  true
% 45.26/45.39  Current number of equations to process: 4534
% 45.26/45.39  Current number of ordered equations: 0
% 45.26/45.39  Current number of rules: 1021
% 45.26/45.39  New rule produced :
% 45.26/45.39  [1339]
% 45.26/45.39  multiplication(antidomain(multiplication(A,c(B)) addition C),multiplication(A,
% 45.26/45.39                                                               antidomain(B)))
% 45.70/45.89  -> zero
% 45.70/45.89  Current number of equations to process: 4533
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1022
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1340]
% 45.70/45.89  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 45.70/45.89                                                              c(B)) addition C))
% 45.70/45.89  -> zero
% 45.70/45.89  Current number of equations to process: 4532
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1023
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1341]
% 45.70/45.89  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),multiplication(
% 45.70/45.89                                                                    c(A),B)) ->
% 45.70/45.89  true
% 45.70/45.89  Current number of equations to process: 4531
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1024
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1342]
% 45.70/45.89  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),multiplication(
% 45.70/45.89                                                                  c(A),B)) ->
% 45.70/45.89  true
% 45.70/45.89  Current number of equations to process: 4530
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1025
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1343]
% 45.70/45.89  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),multiplication(
% 45.70/45.89                                                                      c(A),B))
% 45.70/45.89  -> true
% 45.70/45.89  Current number of equations to process: 4529
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1026
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1344]
% 45.70/45.89  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),multiplication(
% 45.70/45.89                                                                    c(B),C)) ->
% 45.70/45.89  true
% 45.70/45.89  Current number of equations to process: 4528
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1027
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1345]
% 45.70/45.89  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),multiplication(
% 45.70/45.89                                                                  c(B),C)) ->
% 45.70/45.89  true
% 45.70/45.89  Current number of equations to process: 4527
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1028
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1346]
% 45.70/45.89  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),multiplication(
% 45.70/45.89                                                                      c(B),C))
% 45.70/45.89  -> true
% 45.70/45.89  Current number of equations to process: 4526
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1029
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1347]
% 45.70/45.89  leq(multiplication(c(A),B) addition C,B addition C addition X0) -> true
% 45.70/45.89  Current number of equations to process: 4525
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1030
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1348]
% 45.70/45.89  multiplication(antidomain(multiplication(c(A),B) addition C),multiplication(
% 45.70/45.89                                                               antidomain(A),B))
% 45.70/45.89  -> zero
% 45.70/45.89  Current number of equations to process: 4524
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1031
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1349]
% 45.70/45.89  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 45.70/45.89                                                              c(A),B) addition C))
% 45.70/45.89  -> zero
% 45.70/45.89  Current number of equations to process: 4523
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1032
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1350]
% 45.70/45.89  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 45.70/45.89                                                              multiplication(
% 45.70/45.89                                                              codomain(B),C),X0)))
% 45.70/45.89  -> one
% 45.70/45.89  Current number of equations to process: 4518
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1033
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1351]
% 45.70/45.89  antidomain(multiplication(antidomain(A addition B),forward_diamond(A,C))) ->
% 45.70/45.89  one
% 45.70/45.89  Current number of equations to process: 4527
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1034
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1352]
% 45.70/45.89  antidomain(multiplication(A,forward_diamond(coantidomain(A addition B),C)))
% 45.70/45.89  -> one
% 45.70/45.89  Current number of equations to process: 4526
% 45.70/45.89  Current number of ordered equations: 0
% 45.70/45.89  Current number of rules: 1035
% 45.70/45.89  New rule produced :
% 45.70/45.89  [1353]
% 45.70/45.89  codomain(multiplication(coantidomain(A),B)) ->
% 45.70/45.89  backward_diamond(B,coantidomain(A))
% 45.70/45.89  Current number of equations to process: 4528
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1036
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1354]
% 46.77/46.90  backward_diamond(coantidomain(B) addition A,B) -> backward_diamond(A,B)
% 46.77/46.90  Current number of equations to process: 4535
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1037
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1355]
% 46.77/46.90  backward_diamond(multiplication(multiplication(coantidomain(A),B),C),A) ->
% 46.77/46.90  zero
% 46.77/46.90  Current number of equations to process: 4537
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1038
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1356]
% 46.77/46.90  antidomain(multiplication(codomain(A),forward_diamond(coantidomain(A),B))) ->
% 46.77/46.90  one
% 46.77/46.90  Current number of equations to process: 4538
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1039
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1357]
% 46.77/46.90  backward_diamond(multiplication(codomain(A),B),coantidomain(A)) -> zero
% 46.77/46.90  Current number of equations to process: 4541
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1040
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1358] codomain(backward_diamond(A,B)) -> backward_diamond(A,B)
% 46.77/46.90  Rule
% 46.77/46.90  [884]
% 46.77/46.90  backward_diamond(codomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 46.77/46.90  -> codomain(backward_diamond(A,B)) collapsed.
% 46.77/46.90  Current number of equations to process: 4544
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1040
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1359]
% 46.77/46.90  backward_diamond(backward_diamond(A,B),multiplication(codomain(B),A)) ->
% 46.77/46.90  backward_diamond(A,B)
% 46.77/46.90  Current number of equations to process: 4546
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1041
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1360]
% 46.77/46.90  coantidomain(multiplication(coantidomain(A),B)) ->
% 46.77/46.90  coantidomain(backward_diamond(B,coantidomain(A)))
% 46.77/46.90  Rule
% 46.77/46.90  [1006]
% 46.77/46.90  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 46.77/46.90                                                           multiplication(
% 46.77/46.90                                                           coantidomain(A),B)))
% 46.77/46.90  -> zero collapsed.
% 46.77/46.90  Current number of equations to process: 4555
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1041
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1361]
% 46.77/46.90  codomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 46.77/46.90  backward_diamond(multiplication(B,C),coantidomain(A))
% 46.77/46.90  Current number of equations to process: 4554
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1042
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1362]
% 46.77/46.90  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,antidomain(A))))
% 46.77/46.90  -> one
% 46.77/46.90  Current number of equations to process: 4559
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1043
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1363]
% 46.77/46.90  backward_diamond(coantidomain(backward_diamond(A,coantidomain(B))),multiplication(
% 46.77/46.90                                                                     coantidomain(B),A))
% 46.77/46.90  -> zero
% 46.77/46.90  Current number of equations to process: 4580
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1044
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1364]
% 46.77/46.90  backward_diamond(multiplication(multiplication(multiplication(coantidomain(A),B),C),X0),A)
% 46.77/46.90  -> zero
% 46.77/46.90  Current number of equations to process: 4579
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1045
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1365]
% 46.77/46.90  codomain(coantidomain(A) addition multiplication(coantidomain(A),B)) ->
% 46.77/46.90  backward_diamond(one addition B,coantidomain(A))
% 46.77/46.90  Current number of equations to process: 4600
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1046
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1366]
% 46.77/46.90  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 46.77/46.90                                                           backward_diamond(B,
% 46.77/46.90                                                           coantidomain(A))))
% 46.77/46.90  -> zero
% 46.77/46.90  Current number of equations to process: 4606
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1047
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1367]
% 46.77/46.90  backward_diamond(multiplication(coantidomain(A),B) addition multiplication(
% 46.77/46.90                                                              coantidomain(A),C),A)
% 46.77/46.90  -> zero
% 46.77/46.90  Current number of equations to process: 4604
% 46.77/46.90  Current number of ordered equations: 0
% 46.77/46.90  Current number of rules: 1048
% 46.77/46.90  New rule produced :
% 46.77/46.90  [1368]
% 46.77/46.90  coantidomain(backward_diamond(codomain(A),multiplication(B,coantidomain(A))))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4622
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1049
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1369]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,A)))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4623
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1050
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1370]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(codomain(A),B),multiplication(C,
% 47.67/47.79                                                              coantidomain(A))))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4698
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1051
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1371]
% 47.67/47.79  coantidomain(backward_diamond(coantidomain(multiplication(A,B)),multiplication(
% 47.67/47.79                                                                  multiplication(C,A),B)))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4706
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1052
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1372]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),antidomain(
% 47.67/47.79                                                                      multiplication(A,B))))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4705
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1053
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1373]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(A,coantidomain(multiplication(B,A))),
% 47.67/47.79               multiplication(C,B))) -> one
% 47.67/47.79  Current number of equations to process: 4704
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1054
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1374]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 47.67/47.79                                                                  multiplication(X0,A))))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4703
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1055
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1375]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 47.67/47.79                                                                     antidomain(A)))))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4702
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1056
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1376]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(multiplication(coantidomain(A),B),C),
% 47.67/47.79               multiplication(X0,A))) -> one
% 47.67/47.79  Current number of equations to process: 4701
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1057
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1377]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(A,B),multiplication(antidomain(
% 47.67/47.79                                                                   multiplication(C,A)),C)))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4700
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1058
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1378]
% 47.67/47.79  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 47.67/47.79                                                                      antidomain(A))))
% 47.67/47.79  -> one
% 47.67/47.79  Current number of equations to process: 4699
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1059
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1379] coantidomain(backward_diamond(A,antidomain(A addition B))) -> one
% 47.67/47.79  Current number of equations to process: 4789
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1060
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1380] coantidomain(backward_diamond(coantidomain(A addition B),A)) -> one
% 47.67/47.79  Current number of equations to process: 4793
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1061
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1381]
% 47.67/47.79  multiplication(coantidomain(multiplication(A,B)),backward_diamond(B,A)) ->
% 47.67/47.79  zero
% 47.67/47.79  Current number of equations to process: 4792
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1062
% 47.67/47.79  New rule produced :
% 47.67/47.79  [1382]
% 47.67/47.79  multiplication(antidomain(coantidomain(backward_diamond(A,B))),coantidomain(
% 47.67/47.79                                                                 multiplication(B,A)))
% 47.67/47.79  -> zero
% 47.67/47.79  Current number of equations to process: 4790
% 47.67/47.79  Current number of ordered equations: 0
% 47.67/47.79  Current number of rules: 1063
% 49.57/49.70  New rule produced : [1383] backward_diamond(A,antidomain(A)) -> zero
% 49.57/49.70  Rule [428] coantidomain(backward_diamond(A,antidomain(A))) -> one collapsed.
% 49.57/49.70  Current number of equations to process: 4795
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1063
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1384] backward_diamond(coantidomain(A),multiplication(B,A)) -> zero
% 49.57/49.70  Rule
% 49.57/49.70  [431]
% 49.57/49.70  coantidomain(backward_diamond(coantidomain(B),multiplication(A,B))) -> one
% 49.57/49.70  collapsed.
% 49.57/49.70  Current number of equations to process: 4795
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1063
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1385] backward_diamond(A,multiplication(B,antidomain(A))) -> zero
% 49.57/49.70  Rule
% 49.57/49.70  [433]
% 49.57/49.70  coantidomain(backward_diamond(B,multiplication(A,antidomain(B)))) -> one
% 49.57/49.70  collapsed.
% 49.57/49.70  Current number of equations to process: 4803
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1063
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1386]
% 49.57/49.70  coantidomain(backward_diamond(coantidomain(A),multiplication(B,codomain(A))))
% 49.57/49.70  -> one
% 49.57/49.70  Current number of equations to process: 4802
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1064
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1387]
% 49.57/49.70  coantidomain(backward_diamond(antidomain(A),multiplication(B,c(c(A))))) ->
% 49.57/49.70  one
% 49.57/49.70  Current number of equations to process: 4801
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1065
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1388]
% 49.57/49.70  backward_diamond(multiplication(coantidomain(B),C) addition A,B) ->
% 49.57/49.70  backward_diamond(A,B)
% 49.57/49.70  Rule
% 49.57/49.70  [1367]
% 49.57/49.70  backward_diamond(multiplication(coantidomain(A),B) addition multiplication(
% 49.57/49.70                                                              coantidomain(A),C),A)
% 49.57/49.70  -> zero collapsed.
% 49.57/49.70  Current number of equations to process: 4802
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1065
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1389] backward_diamond(multiplication(A,B),antidomain(A)) -> zero
% 49.57/49.70  Rule
% 49.57/49.70  [435]
% 49.57/49.70  coantidomain(backward_diamond(multiplication(A,B),antidomain(A))) -> one
% 49.57/49.70  collapsed.
% 49.57/49.70  Current number of equations to process: 4807
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1065
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1390]
% 49.57/49.70  coantidomain(backward_diamond(multiplication(antidomain(A),B),c(c(A)))) ->
% 49.57/49.70  one
% 49.57/49.70  Current number of equations to process: 4806
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1066
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1391]
% 49.57/49.70  antidomain(multiplication(multiplication(A,codomain(B)),forward_diamond(
% 49.57/49.70                                                          coantidomain(B),C)))
% 49.57/49.70  -> one
% 49.57/49.70  Current number of equations to process: 4807
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1067
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1392]
% 49.57/49.70  antidomain(multiplication(codomain(A),forward_diamond(multiplication(
% 49.57/49.70                                                        coantidomain(A),B),C)))
% 49.57/49.70  -> one
% 49.57/49.70  Current number of equations to process: 4806
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1068
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1393]
% 49.57/49.70  coantidomain(backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B))))
% 49.57/49.70  -> one
% 49.57/49.70  Current number of equations to process: 4810
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1069
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1394]
% 49.57/49.70  coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition 
% 49.57/49.70  coantidomain(A) -> one
% 49.57/49.70  Current number of equations to process: 4907
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1070
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1395]
% 49.57/49.70  codomain(c(A)) addition coantidomain(backward_diamond(antidomain(A),c(A))) ->
% 49.57/49.70  one
% 49.57/49.70  Current number of equations to process: 4932
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1071
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1396]
% 49.57/49.70  codomain(antidomain(A)) addition coantidomain(backward_diamond(antidomain(A),
% 49.57/49.70                                                antidomain(A))) -> one
% 49.57/49.70  Current number of equations to process: 4931
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1072
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1397]
% 49.57/49.70  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))))
% 49.57/49.70  -> true
% 49.57/49.70  Current number of equations to process: 2327
% 49.57/49.70  Current number of ordered equations: 0
% 49.57/49.70  Current number of rules: 1073
% 49.57/49.70  New rule produced :
% 49.57/49.70  [1398]
% 49.57/49.70  leq(coantidomain(A),coantidomain(backward_diamond(codomain(A),codomain(A))))
% 52.31/52.52  -> true
% 52.31/52.52  Current number of equations to process: 2330
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1074
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1399]
% 52.31/52.52  leq(coantidomain(c(A)),coantidomain(backward_diamond(antidomain(A),c(A)))) ->
% 52.31/52.52  true
% 52.31/52.52  Current number of equations to process: 2329
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1075
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1400]
% 52.31/52.52  leq(coantidomain(antidomain(A)),coantidomain(backward_diamond(antidomain(A),
% 52.31/52.52                                               antidomain(A)))) -> true
% 52.31/52.52  Current number of equations to process: 2328
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1076
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1401]
% 52.31/52.52  leq(coantidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,
% 52.31/52.52                                                       codomain(B)))) -> true
% 52.31/52.52  Current number of equations to process: 2378
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1077
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1402]
% 52.31/52.52  coantidomain(backward_diamond(A,codomain(B))) ->
% 52.31/52.52  coantidomain(backward_diamond(A,B))
% 52.31/52.52  Rule
% 52.31/52.52  [442]
% 52.31/52.52  backward_diamond(A,B) addition coantidomain(backward_diamond(A,codomain(B)))
% 52.31/52.52  -> one collapsed.
% 52.31/52.52  Rule
% 52.31/52.52  [568]
% 52.31/52.52  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,
% 52.31/52.52                                                      codomain(A))) -> one
% 52.31/52.52  collapsed.
% 52.31/52.52  Rule
% 52.31/52.52  [569]
% 52.31/52.52  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,
% 52.31/52.52                                                     codomain(A)))) -> true
% 52.31/52.52  collapsed.
% 52.31/52.52  Rule
% 52.31/52.52  [1398]
% 52.31/52.52  leq(coantidomain(A),coantidomain(backward_diamond(codomain(A),codomain(A))))
% 52.31/52.52  -> true collapsed.
% 52.31/52.52  Rule
% 52.31/52.52  [1401]
% 52.31/52.52  leq(coantidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,
% 52.31/52.52                                                       codomain(B)))) -> true
% 52.31/52.52  collapsed.
% 52.31/52.52  Current number of equations to process: 2514
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1073
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1403] leq(multiplication(A,forward_diamond(B,C)),A) -> true
% 52.31/52.52  Current number of equations to process: 2583
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1074
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1404] leq(multiplication(A,forward_diamond(B,C)),A addition X0) -> true
% 52.31/52.52  Current number of equations to process: 2622
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1075
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1405] one addition multiplication(c(A),forward_diamond(B,C)) -> one
% 52.31/52.52  Rule [698] one addition multiplication(c(c(A)),forward_diamond(B,C)) -> one
% 52.31/52.52  collapsed.
% 52.31/52.52  Current number of equations to process: 2658
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1075
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1406]
% 52.31/52.52  one addition multiplication(forward_diamond(A,B),forward_diamond(C,X0)) ->
% 52.31/52.52  one
% 52.31/52.52  Current number of equations to process: 2721
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1076
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1407]
% 52.31/52.52  one addition multiplication(backward_diamond(A,B),forward_diamond(C,X0)) ->
% 52.31/52.52  one
% 52.31/52.52  Current number of equations to process: 2720
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1077
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1408]
% 52.31/52.52  c(A) addition multiplication(antidomain(A),forward_diamond(B,C)) -> c(A)
% 52.31/52.52  Current number of equations to process: 2789
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1078
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1409] forward_diamond(multiplication(c(A),forward_diamond(B,C)),A) -> zero
% 52.31/52.52  Current number of equations to process: 2793
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1079
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1410]
% 52.31/52.52  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A)) ->
% 52.31/52.52  zero
% 52.31/52.52  Current number of equations to process: 2800
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1080
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1411] leq(multiplication(forward_diamond(A,B),C),C) -> true
% 52.31/52.52  Current number of equations to process: 2826
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1081
% 52.31/52.52  New rule produced :
% 52.31/52.52  [1412] leq(multiplication(forward_diamond(A,B),C),C addition X0) -> true
% 52.31/52.52  Current number of equations to process: 2866
% 52.31/52.52  Current number of ordered equations: 0
% 52.31/52.52  Current number of rules: 1082
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1413] one addition multiplication(forward_diamond(A,B),c(C)) -> one
% 54.90/55.03  Rule [697] one addition multiplication(forward_diamond(A,B),c(c(C))) -> one
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 2898
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1082
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1414]
% 54.90/55.03  one addition multiplication(forward_diamond(A,B),backward_diamond(C,X0)) ->
% 54.90/55.03  one
% 54.90/55.03  Current number of equations to process: 2959
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1083
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1415]
% 54.90/55.03  c(A) addition multiplication(forward_diamond(B,C),antidomain(A)) -> c(A)
% 54.90/55.03  Current number of equations to process: 3030
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1084
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1416]
% 54.90/55.03  forward_diamond(A,B) addition codomain(forward_diamond(A,B)) ->
% 54.90/55.03  codomain(forward_diamond(A,B))
% 54.90/55.03  Current number of equations to process: 3029
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1417]
% 54.90/55.03  multiplication(antidomain(A),multiplication(forward_diamond(B,C),A)) -> zero
% 54.90/55.03  Current number of equations to process: 3039
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1086
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1418] c(A) addition multiplication(antidomain(A),c(B)) -> c(A)
% 54.90/55.03  Rule [701] c(A) addition multiplication(antidomain(A),c(c(B))) -> c(A)
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3105
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1086
% 54.90/55.03  New rule produced : [1419] one addition multiplication(c(A),c(B)) -> one
% 54.90/55.03  Rule [688] one addition multiplication(c(A),c(c(B))) -> one collapsed.
% 54.90/55.03  Rule [689] one addition multiplication(c(c(A)),c(B)) -> one collapsed.
% 54.90/55.03  Current number of equations to process: 3137
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1420] one addition multiplication(backward_diamond(A,B),c(C)) -> one
% 54.90/55.03  Rule [699] one addition multiplication(backward_diamond(A,B),c(c(C))) -> one
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3152
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1421] multiplication(multiplication(A,codomain(B)),c(C)) addition A -> A
% 54.90/55.03  Rule
% 54.90/55.03  [716] multiplication(multiplication(A,codomain(B)),c(c(C))) addition A -> A
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3266
% 54.90/55.03  Current number of ordered equations: 1
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1422] multiplication(multiplication(A,coantidomain(B)),c(C)) addition A -> A
% 54.90/55.03  Rule
% 54.90/55.03  [715]
% 54.90/55.03  multiplication(multiplication(A,coantidomain(B)),c(c(C))) addition A -> A
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3266
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1423] multiplication(multiplication(codomain(A),B),c(C)) addition B -> B
% 54.90/55.03  Rule
% 54.90/55.03  [719] multiplication(multiplication(codomain(A),B),c(c(C))) addition B -> B
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3264
% 54.90/55.03  Current number of ordered equations: 1
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1424] multiplication(multiplication(coantidomain(A),B),c(C)) addition B -> B
% 54.90/55.03  Rule
% 54.90/55.03  [718]
% 54.90/55.03  multiplication(multiplication(coantidomain(A),B),c(c(C))) addition B -> B
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3264
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1425] multiplication(multiplication(A,c(B)),antidomain(C)) addition A -> A
% 54.90/55.03  Rule
% 54.90/55.03  [726] multiplication(multiplication(A,c(c(B))),antidomain(C)) addition A -> A
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3262
% 54.90/55.03  Current number of ordered equations: 1
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1426] multiplication(multiplication(A,antidomain(B)),c(C)) addition A -> A
% 54.90/55.03  Rule
% 54.90/55.03  [714] multiplication(multiplication(A,antidomain(B)),c(c(C))) addition A -> A
% 54.90/55.03  collapsed.
% 54.90/55.03  Current number of equations to process: 3262
% 54.90/55.03  Current number of ordered equations: 0
% 54.90/55.03  Current number of rules: 1085
% 54.90/55.03  New rule produced :
% 54.90/55.03  [1427] multiplication(multiplication(antidomain(A),B),c(C)) addition B -> B
% 54.90/55.03  Rule
% 54.90/55.03  [717] multiplication(multiplication(antidomain(A),B),c(c(C))) addition B -> B
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3260
% 55.97/56.09  Current number of ordered equations: 1
% 55.97/56.09  Current number of rules: 1085
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1428] multiplication(antidomain(B),multiplication(A,c(C))) addition A -> A
% 55.97/56.09  Rule
% 55.97/56.09  [728] multiplication(antidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3260
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1085
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1429] multiplication(multiplication(A,c(B)),codomain(C)) addition A -> A
% 55.97/56.09  Rule
% 55.97/56.09  [730] multiplication(multiplication(A,c(c(B))),codomain(C)) addition A -> A
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3258
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1085
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1430] multiplication(codomain(B),multiplication(A,c(C))) addition A -> A
% 55.97/56.09  Rule
% 55.97/56.09  [732] multiplication(codomain(A),multiplication(B,c(c(C)))) addition B -> B
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3256
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1085
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1431] multiplication(multiplication(A,c(B)),coantidomain(C)) addition A -> A
% 55.97/56.09  Rule
% 55.97/56.09  [734]
% 55.97/56.09  multiplication(multiplication(A,c(c(B))),coantidomain(C)) addition A -> A
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3254
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1085
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1432] multiplication(coantidomain(B),multiplication(A,c(C))) addition A -> A
% 55.97/56.09  Rule
% 55.97/56.09  [736]
% 55.97/56.09  multiplication(coantidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3252
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1085
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1433] leq(multiplication(multiplication(A,c(B)),antidomain(C)),A) -> true
% 55.97/56.09  Current number of equations to process: 3251
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1086
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1434] leq(multiplication(multiplication(A,c(B)),codomain(C)),A) -> true
% 55.97/56.09  Current number of equations to process: 3250
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1087
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1435] leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A) -> true
% 55.97/56.09  Current number of equations to process: 3249
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1088
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1436] leq(multiplication(antidomain(A),multiplication(B,c(C))),B) -> true
% 55.97/56.09  Current number of equations to process: 3248
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1089
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1437] leq(multiplication(codomain(A),multiplication(B,c(C))),B) -> true
% 55.97/56.09  Current number of equations to process: 3247
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1090
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1438] leq(multiplication(coantidomain(A),multiplication(B,c(C))),B) -> true
% 55.97/56.09  Current number of equations to process: 3246
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1091
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1439] forward_diamond(multiplication(c(A),c(B)),A) -> zero
% 55.97/56.09  Current number of equations to process: 3250
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1092
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1440] multiplication(multiplication(A,c(B)),coantidomain(A)) -> zero
% 55.97/56.09  Current number of equations to process: 3255
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1093
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1441] c(A) addition multiplication(c(B),antidomain(A)) -> c(A)
% 55.97/56.09  Rule [702] c(A) addition multiplication(c(c(B)),antidomain(A)) -> c(A)
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3326
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1093
% 55.97/56.09  New rule produced :
% 55.97/56.09  [1442] one addition multiplication(c(A),backward_diamond(B,C)) -> one
% 55.97/56.09  Rule [700] one addition multiplication(c(c(A)),backward_diamond(B,C)) -> one
% 55.97/56.09  collapsed.
% 55.97/56.09  Current number of equations to process: 3372
% 55.97/56.09  Current number of ordered equations: 0
% 55.97/56.09  Current number of rules: 1093
% 55.97/56.09  Rule [1258]
% 55.97/56.09       c(c(c(B) addition multiplication(A,c(B)))) ->
% 55.97/56.09       forward_diamond(one addition A,antidomain(B)) is composed into [1258]
% 55.97/56.09                                                                      c(
% 55.97/56.09                                                                      c(
% 56.10/56.21                                                                      c(B) addition 
% 56.10/56.21                                                                      multiplication(A,
% 56.10/56.21                                                                      c(B))))
% 56.10/56.21                                                                      ->
% 56.10/56.21                                                                      forward_diamond(
% 56.10/56.21                                                                      one addition A,
% 56.10/56.21                                                                      c(B))
% 56.10/56.21  Rule [1081]
% 56.10/56.21       c(A) addition multiplication(c(c(B)),c(c(A))) <->
% 56.10/56.21       c(c(B)) addition multiplication(antidomain(B),c(A)) is composed into 
% 56.10/56.21  [1081]
% 56.10/56.21  c(A) addition multiplication(c(c(B)),c(c(A))) ->
% 56.10/56.21  c(c(B)) addition multiplication(c(B),c(A))
% 56.10/56.21  Rule [743]
% 56.10/56.21       c(multiplication(A,multiplication(B,c(C)))) ->
% 56.10/56.21       antidomain(forward_diamond(multiplication(A,B),antidomain(C))) is composed into 
% 56.10/56.21  [743]
% 56.10/56.21  c(multiplication(A,multiplication(B,c(C)))) ->
% 56.10/56.21  c(forward_diamond(multiplication(A,B),c(C)))
% 56.10/56.21  Rule [186]
% 56.10/56.21       c(multiplication(A,c(B))) ->
% 56.10/56.21       antidomain(forward_diamond(A,antidomain(B))) is composed into [186]
% 56.10/56.21                                                                     c(
% 56.10/56.21                                                                     multiplication(A,
% 56.10/56.21                                                                     c(B))) ->
% 56.10/56.21                                                                     c(
% 56.10/56.21                                                                     forward_diamond(A,
% 56.10/56.21                                                                     c(B)))
% 56.10/56.21  Rule [184]
% 56.10/56.21       c(multiplication(A,forward_diamond(B,C))) ->
% 56.10/56.21       antidomain(forward_diamond(A,multiplication(B,c(c(C))))) is composed into 
% 56.10/56.21  [184]
% 56.10/56.21  c(multiplication(A,forward_diamond(B,C))) ->
% 56.10/56.21  c(forward_diamond(A,multiplication(B,c(c(C)))))
% 56.10/56.21  Rule [29]
% 56.10/56.21       if_then_else(X0,X1,X2) ->
% 56.10/56.21       multiplication(c(c(X0)),X1) addition multiplication(antidomain(X0),X2) is composed into 
% 56.10/56.21  [29]
% 56.10/56.21  if_then_else(X0,X1,X2) ->
% 56.10/56.21  multiplication(c(c(X0)),X1) addition multiplication(c(X0),X2)
% 56.10/56.21  Rule [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),antidomain(X1)) is composed into 
% 56.10/56.21  [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),c(X1))
% 56.10/56.21  New rule produced : [1443] antidomain(A) -> c(A)
% 56.10/56.21  Rule [8] antidomain(antidomain(X0)) -> c(c(X0)) collapsed.
% 56.10/56.21  Rule [11] multiplication(antidomain(X0),X0) -> zero collapsed.
% 56.10/56.21  Rule [33] antidomain(one) -> zero collapsed.
% 56.10/56.21  Rule [38] antidomain(c(A)) -> c(c(A)) collapsed.
% 56.10/56.21  Rule [42] one addition antidomain(A) -> one collapsed.
% 56.10/56.21  Rule [54] multiplication(multiplication(A,antidomain(B)),B) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [56] multiplication(antidomain(A),multiplication(A,B)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [112] c(A) addition antidomain(A) -> c(A) collapsed.
% 56.10/56.21  Rule [122] antidomain(zero) -> one collapsed.
% 56.10/56.21  Rule [124] c(antidomain(A)) -> c(c(A)) collapsed.
% 56.10/56.21  Rule [139] leq(antidomain(A),one) -> true collapsed.
% 56.10/56.21  Rule [140] leq(antidomain(A),one addition B) -> true collapsed.
% 56.10/56.21  Rule [141] multiplication(A,antidomain(B)) addition A -> A collapsed.
% 56.10/56.21  Rule [142] multiplication(antidomain(B),A) addition A -> A collapsed.
% 56.10/56.21  Rule [155] ifeq2(one,antidomain(A),leq(one,antidomain(A)),true) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [174] forward_diamond(A,B) addition antidomain(forward_diamond(A,B)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [178] ifeq(leq(one,antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [191]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),multiplication(B,C)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [211]
% 56.10/56.21  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule [217] leq(antidomain(A) addition B,one addition B) -> true collapsed.
% 56.10/56.21  Rule [224] leq(antidomain(A) addition B,one addition B addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [234]
% 56.10/56.21  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,c(B)))
% 56.10/56.21  -> one collapsed.
% 56.10/56.21  Rule [247] multiplication(c(A),antidomain(A)) -> c(A) collapsed.
% 56.10/56.21  Rule [249] leq(multiplication(A,antidomain(B)),A) -> true collapsed.
% 56.10/56.21  Rule [251] leq(multiplication(A,antidomain(B)),A addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [253]
% 56.10/56.21  multiplication(antidomain(codomain(A)),coantidomain(A)) ->
% 56.10/56.21  antidomain(codomain(A)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [254]
% 56.10/56.21  multiplication(antidomain(coantidomain(A)),codomain(A)) ->
% 56.10/56.21  antidomain(coantidomain(A)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [256] leq(multiplication(A,antidomain(B)) addition C,A addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [266]
% 56.10/56.21  multiplication(multiplication(A,antidomain(codomain(B))),coantidomain(B)) ->
% 56.10/56.21  multiplication(A,antidomain(codomain(B))) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [267]
% 56.10/56.21  multiplication(multiplication(A,antidomain(coantidomain(B))),codomain(B)) ->
% 56.10/56.21  multiplication(A,antidomain(coantidomain(B))) collapsed.
% 56.10/56.21  Rule [271] multiplication(antidomain(A),antidomain(A)) -> antidomain(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [274] leq(multiplication(antidomain(A),B),B) -> true collapsed.
% 56.10/56.21  Rule [276] leq(multiplication(antidomain(A),B),B addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [280] leq(multiplication(antidomain(A),B) addition C,B addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [312]
% 56.10/56.21  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 56.10/56.21  codomain(B) addition antidomain(A) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [315]
% 56.10/56.21  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 56.10/56.21  codomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [330]
% 56.10/56.21  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(C,X0))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [332]
% 56.10/56.21  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(B,C))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [333]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(B,C),X0))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [336]
% 56.10/56.21  ifeq2(one addition A,one,leq(antidomain(B) addition A,one),true) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [337] ifeq(leq(antidomain(A) addition B,one),true,one addition B,one) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [349]
% 56.10/56.21  leq(multiplication(A,antidomain(B)) addition C,A addition C addition X0) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [353]
% 56.10/56.21  leq(multiplication(antidomain(A),B) addition C,B addition C addition X0) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [356]
% 56.10/56.21  multiplication(antidomain(multiplication(multiplication(A,B),C)),multiplication(A,
% 56.10/56.21                                                                   multiplication(B,C)))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [359]
% 56.10/56.21  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(
% 56.10/56.21                                                                  multiplication(B,C),X0)))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [361]
% 56.10/56.21  multiplication(multiplication(multiplication(A,antidomain(multiplication(B,C))),B),
% 56.10/56.21  multiplication(C,X0)) -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [363]
% 56.10/56.21  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(
% 56.10/56.21                                                                   multiplication(B,C),X0))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [365]
% 56.10/56.21  multiplication(multiplication(A,antidomain(multiplication(B,C))),multiplication(B,
% 56.10/56.21                                                                   multiplication(C,X0)))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [374]
% 56.10/56.21  antidomain(forward_diamond(A addition C,B)) <->
% 56.10/56.21  c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B)))) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [379]
% 56.10/56.21  forward_diamond(A addition C,antidomain(B)) <->
% 56.10/56.21  c(c(multiplication(A,c(B)) addition multiplication(C,c(B)))) collapsed.
% 56.10/56.21  Rule [380] multiplication(antidomain(A addition B),A) -> zero collapsed.
% 56.10/56.21  Rule [394] leq(antidomain(A),c(A)) -> true collapsed.
% 56.10/56.21  Rule [395] leq(antidomain(A),c(A) addition B) -> true collapsed.
% 56.10/56.21  Rule [397] leq(antidomain(A) addition B,c(A) addition B) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [398]
% 56.10/56.21  multiplication(A,c(B)) addition multiplication(A,antidomain(B)) ->
% 56.10/56.21  multiplication(A,c(B)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [399]
% 56.10/56.21  multiplication(c(A),B) addition multiplication(antidomain(A),B) ->
% 56.10/56.21  multiplication(c(A),B) collapsed.
% 56.10/56.21  Rule [400] ifeq2(c(A),antidomain(A),leq(c(A),antidomain(A)),true) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [401] leq(antidomain(A) addition B,c(A) addition B addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [402] ifeq(leq(c(A),antidomain(A)),true,c(A),antidomain(A)) -> antidomain(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [406]
% 56.10/56.21  leq(antidomain(multiplication(A,antidomain(B))),antidomain(multiplication(A,
% 56.10/56.21                                                             c(B)))) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [407]
% 56.10/56.21  forward_diamond(multiplication(A,B),C) addition antidomain(multiplication(A,
% 56.10/56.21                                                             forward_diamond(B,C)))
% 56.10/56.21  -> one collapsed.
% 56.10/56.21  Rule [480] one addition multiplication(antidomain(A),antidomain(B)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [481] one addition multiplication(codomain(A),antidomain(B)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [482] one addition multiplication(coantidomain(A),antidomain(B)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [483] one addition multiplication(c(A),antidomain(B)) -> one collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [484] one addition multiplication(forward_diamond(A,B),antidomain(C)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [485] c(A) addition multiplication(antidomain(A),antidomain(B)) -> c(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [486] one addition multiplication(antidomain(A),codomain(B)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [487] one addition multiplication(antidomain(A),coantidomain(B)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [489]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),antidomain(C)) addition A -> A
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [490]
% 56.10/56.21  multiplication(multiplication(A,codomain(B)),antidomain(C)) addition A -> A
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [491]
% 56.10/56.21  multiplication(multiplication(A,coantidomain(B)),antidomain(C)) addition A ->
% 56.10/56.21  A collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [493]
% 56.10/56.21  multiplication(multiplication(antidomain(A),B),antidomain(C)) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [494]
% 56.10/56.21  multiplication(multiplication(codomain(A),B),antidomain(C)) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [495]
% 56.10/56.21  multiplication(multiplication(coantidomain(A),B),antidomain(C)) addition B ->
% 56.10/56.21  B collapsed.
% 56.10/56.21  Rule [496] one addition multiplication(antidomain(A),c(B)) -> one collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [497] one addition multiplication(antidomain(A),forward_diamond(B,C)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [498] c(A) addition multiplication(antidomain(B),antidomain(A)) -> c(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [501]
% 56.10/56.21  multiplication(antidomain(A),multiplication(B,antidomain(C))) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [503]
% 56.10/56.21  multiplication(antidomain(A),multiplication(B,codomain(C))) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [504]
% 56.10/56.21  multiplication(antidomain(A),multiplication(B,coantidomain(C))) addition B ->
% 56.10/56.21  B collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [506]
% 56.10/56.21  multiplication(antidomain(A),multiplication(antidomain(B),C)) addition C -> C
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [507]
% 56.10/56.21  multiplication(antidomain(A),multiplication(codomain(B),C)) addition C -> C
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [508]
% 56.10/56.21  multiplication(antidomain(A),multiplication(coantidomain(B),C)) addition C ->
% 56.10/56.21  C collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [511] one addition multiplication(backward_diamond(A,B),antidomain(C)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [512] one addition multiplication(antidomain(A),backward_diamond(B,C)) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [517] c(A) addition multiplication(antidomain(A),codomain(B)) -> c(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [521]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),codomain(C)) addition A -> A
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [525]
% 56.10/56.21  multiplication(multiplication(antidomain(A),B),codomain(C)) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [530] c(A) addition multiplication(codomain(B),antidomain(A)) -> c(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [532]
% 56.10/56.21  multiplication(codomain(A),multiplication(B,antidomain(C))) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [537]
% 56.10/56.21  multiplication(codomain(A),multiplication(antidomain(B),C)) addition C -> C
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [543] c(A) addition multiplication(antidomain(A),coantidomain(B)) -> c(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [546]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),coantidomain(C)) addition A ->
% 56.10/56.21  A collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [550]
% 56.10/56.21  multiplication(multiplication(antidomain(A),B),coantidomain(C)) addition B ->
% 56.10/56.21  B collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [555] c(A) addition multiplication(coantidomain(B),antidomain(A)) -> c(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [557]
% 56.10/56.21  multiplication(coantidomain(A),multiplication(B,antidomain(C))) addition B ->
% 56.10/56.21  B collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [562]
% 56.10/56.21  multiplication(coantidomain(A),multiplication(antidomain(B),C)) addition C ->
% 56.10/56.21  C collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [570]
% 56.10/56.21  multiplication(forward_diamond(A,antidomain(B)),antidomain(multiplication(A,
% 56.10/56.21                                                             c(B)))) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [581]
% 56.10/56.21  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) ->
% 56.10/56.21  coantidomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [583]
% 56.10/56.21  coantidomain(A) addition multiplication(antidomain(B),codomain(A)) ->
% 56.10/56.21  coantidomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [606]
% 56.10/56.21  multiplication(A,multiplication(B,antidomain(C))) addition multiplication(A,B)
% 56.10/56.21  -> multiplication(A,B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [607]
% 56.10/56.21  multiplication(multiplication(A,antidomain(C)),B) addition multiplication(A,B)
% 56.10/56.21  -> multiplication(A,B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [608]
% 56.10/56.21  multiplication(multiplication(antidomain(A),B),C) addition multiplication(B,C)
% 56.10/56.21  -> multiplication(B,C) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [609]
% 56.10/56.21  multiplication(A,multiplication(antidomain(C),B)) addition multiplication(A,B)
% 56.10/56.21  -> multiplication(A,B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [624]
% 56.10/56.21  multiplication(antidomain(A),multiplication(antidomain(A),B)) ->
% 56.10/56.21  multiplication(antidomain(A),B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [631]
% 56.10/56.21  multiplication(multiplication(A,c(B)),antidomain(B)) ->
% 56.10/56.21  multiplication(A,c(B)) collapsed.
% 56.10/56.21  Rule [659] c(c(X0)) addition antidomain(X0) -> one collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [661]
% 56.10/56.21  backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 56.10/56.21                                c(c(sK3_goals_X3)))) addition c(c(sK2_goals_X4))
% 56.10/56.21  -> c(c(sK2_goals_X4)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [662]
% 56.10/56.21  antidomain(multiplication(X0,c(c(X1)))) addition antidomain(multiplication(X0,X1))
% 56.10/56.21  -> antidomain(multiplication(X0,c(c(X1)))) collapsed.
% 56.10/56.21  Rule [666] forward_diamond(c(c(A)),antidomain(A)) -> zero collapsed.
% 56.10/56.21  Rule [667] multiplication(c(c(A)),antidomain(A)) -> zero collapsed.
% 56.10/56.21  Rule [671] antidomain(multiplication(A,c(c(coantidomain(A))))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [672] antidomain(multiplication(antidomain(A),c(c(A)))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [673] coantidomain(backward_diamond(antidomain(A),c(c(A)))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [681] multiplication(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [682] multiplication(c(c(A)),multiplication(antidomain(A),B)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [685]
% 56.10/56.21  multiplication(c(c(A)),coantidomain(antidomain(A))) ->
% 56.10/56.21  coantidomain(antidomain(A)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [687] antidomain(multiplication(codomain(A),c(c(coantidomain(A))))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [690]
% 56.10/56.21  multiplication(antidomain(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [691]
% 56.10/56.21  antidomain(multiplication(multiplication(A,B),c(c(coantidomain(B))))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [692]
% 56.10/56.21  antidomain(multiplication(multiplication(A,antidomain(B)),c(c(B)))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [693]
% 56.10/56.21  antidomain(multiplication(A,c(c(multiplication(coantidomain(A),B))))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [694]
% 56.10/56.21  antidomain(multiplication(antidomain(A),c(c(multiplication(A,B))))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [704]
% 56.10/56.21  forward_diamond(A,B) addition antidomain(multiplication(A,c(c(B)))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [705] multiplication(A,c(c(B))) addition multiplication(A,antidomain(B)) -> A
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [706] multiplication(c(c(B)),A) addition multiplication(antidomain(B),A) -> A
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [707]
% 56.10/56.21  multiplication(forward_diamond(A,B),antidomain(multiplication(A,c(c(B))))) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [710]
% 56.10/56.21  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,c(c(B))))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [711]
% 56.10/56.21  forward_diamond(multiplication(antidomain(multiplication(A,c(c(B)))),A),B) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [712]
% 56.10/56.21  multiplication(multiplication(A,c(c(B))),multiplication(antidomain(B),C)) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [720] multiplication(c(c(A)),multiplication(B,antidomain(C))) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [723] multiplication(c(c(A)),multiplication(antidomain(B),C)) addition C -> C
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [727] multiplication(multiplication(c(c(A)),B),antidomain(C)) addition B -> B
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [729] multiplication(antidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [738]
% 56.10/56.21  antidomain(multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))))
% 56.10/56.21  -> one collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [739]
% 56.10/56.21  antidomain(multiplication(coantidomain(A),c(c(multiplication(codomain(A),B)))))
% 56.10/56.21  -> one collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [744]
% 56.10/56.21  forward_diamond(antidomain(forward_diamond(A,antidomain(B))),multiplication(A,
% 56.10/56.21                                                               c(B))) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [746] ifeq2(one,antidomain(A),leq(c(c(A)),antidomain(A)),true) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [747]
% 56.10/56.21  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,c(c(B))))) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule [748] leq(antidomain(A) addition antidomain(B),one) -> true collapsed.
% 56.10/56.21  Rule [749] leq(codomain(A) addition antidomain(B),one) -> true collapsed.
% 56.10/56.21  Rule [750] leq(coantidomain(A) addition antidomain(B),one) -> true collapsed.
% 56.10/56.21  Rule [751] leq(c(A) addition antidomain(B),one) -> true collapsed.
% 56.10/56.21  Rule [752] leq(forward_diamond(A,B) addition antidomain(C),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [753] leq(backward_diamond(A,B) addition antidomain(C),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [766] leq(coantidomain(A) addition antidomain(B),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [767] leq(codomain(A) addition antidomain(B),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [768] leq(antidomain(A) addition antidomain(B),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [769] leq(c(A) addition antidomain(B),one addition C) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [772]
% 56.10/56.21  leq(forward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [773]
% 56.10/56.21  leq(backward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [787]
% 56.10/56.21  multiplication(c(c(A)),multiplication(coantidomain(antidomain(A)),B)) ->
% 56.10/56.21  multiplication(coantidomain(antidomain(A)),B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [789]
% 56.10/56.21  antidomain(B) addition multiplication(antidomain(A),c(c(B))) ->
% 56.10/56.21  antidomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [790]
% 56.10/56.21  antidomain(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 56.10/56.21  coantidomain(B) addition antidomain(A) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [791]
% 56.10/56.21  antidomain(B) addition multiplication(coantidomain(A),c(c(B))) ->
% 56.10/56.21  coantidomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [796]
% 56.10/56.21  antidomain(A) addition multiplication(c(c(A)),antidomain(B)) ->
% 56.10/56.21  antidomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [797]
% 56.10/56.21  antidomain(B) addition multiplication(codomain(A),c(c(B))) ->
% 56.10/56.21  codomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [798]
% 56.10/56.21  antidomain(B) addition multiplication(c(c(B)),codomain(A)) ->
% 56.10/56.21  codomain(A) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [800]
% 56.10/56.21  antidomain(multiplication(c(c(A)),c(c(multiplication(antidomain(A),B))))) ->
% 56.10/56.21  one collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [801] antidomain(multiplication(c(A),c(c(multiplication(c(c(A)),B))))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [802]
% 56.10/56.21  leq(antidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [803]
% 56.10/56.21  leq(codomain(A) addition antidomain(B) addition C,one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [804]
% 56.10/56.21  leq(coantidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [805] leq(c(A) addition antidomain(B) addition C,one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [812]
% 56.10/56.21  leq(antidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [813]
% 56.10/56.21  leq(antidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [814]
% 56.10/56.21  leq(antidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [815]
% 56.10/56.21  leq(antidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [816]
% 56.10/56.21  leq(antidomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [817]
% 56.10/56.21  leq(antidomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [822]
% 56.10/56.21  leq(codomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [823]
% 56.10/56.21  leq(codomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [828]
% 56.10/56.21  leq(coantidomain(A) addition multiplication(B,antidomain(C)),one addition B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [829]
% 56.10/56.21  leq(coantidomain(A) addition multiplication(antidomain(B),C),one addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [834]
% 56.10/56.21  leq(c(A) addition multiplication(B,antidomain(C)),one addition B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [835]
% 56.10/56.21  leq(c(A) addition multiplication(antidomain(B),C),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [836]
% 56.10/56.21  ifeq(leq(c(c(A)),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [840] forward_diamond(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [842] multiplication(c(A),coantidomain(antidomain(A))) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [843]
% 56.10/56.21  multiplication(c(A),multiplication(antidomain(A),B)) ->
% 56.10/56.21  multiplication(c(A),B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [845]
% 56.10/56.21  multiplication(c(A),multiplication(coantidomain(antidomain(A)),B)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [846] leq(multiplication(codomain(A),antidomain(B)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [847] leq(multiplication(coantidomain(A),antidomain(B)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [848] leq(multiplication(codomain(A),antidomain(B)),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [849]
% 56.10/56.21  leq(multiplication(coantidomain(A),antidomain(B)),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [850] leq(multiplication(antidomain(A),antidomain(B)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [851] leq(multiplication(antidomain(A),antidomain(B)),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [852]
% 56.10/56.21  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [853]
% 56.10/56.21  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [854]
% 56.10/56.21  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [855]
% 56.10/56.21  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule [856] leq(multiplication(c(A),antidomain(B)),one) -> true collapsed.
% 56.10/56.21  Rule [857] leq(multiplication(antidomain(A),antidomain(B)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [858] leq(multiplication(forward_diamond(A,B),antidomain(C)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [859] leq(multiplication(backward_diamond(A,B),antidomain(C)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [860] leq(multiplication(c(A),antidomain(B)),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [861]
% 56.10/56.21  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [862]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [868]
% 56.10/56.21  codomain(antidomain(A)) addition antidomain(A) -> codomain(antidomain(A))
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [871] coantidomain(A) addition antidomain(codomain(A)) -> coantidomain(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [872] codomain(A) addition antidomain(coantidomain(A)) -> codomain(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [875]
% 56.10/56.21  multiplication(multiplication(c(A),B),coantidomain(multiplication(antidomain(A),B)))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [876]
% 56.10/56.21  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B)) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [877]
% 56.10/56.21  leq(multiplication(antidomain(A),antidomain(B)),c(A) addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [878]
% 56.10/56.21  leq(multiplication(forward_diamond(A,B),antidomain(C)),one addition X0) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [879]
% 56.10/56.21  leq(multiplication(backward_diamond(A,B),antidomain(C)),one addition X0) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [881]
% 56.10/56.21  multiplication(antidomain(codomain(A)),multiplication(coantidomain(A),B)) ->
% 56.10/56.21  multiplication(antidomain(codomain(A)),B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [882]
% 56.10/56.21  multiplication(antidomain(coantidomain(A)),multiplication(codomain(A),B)) ->
% 56.10/56.21  multiplication(antidomain(coantidomain(A)),B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [883]
% 56.10/56.21  multiplication(multiplication(antidomain(coantidomain(A)),B),coantidomain(
% 56.10/56.21                                                               backward_diamond(B,A)))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [885]
% 56.10/56.21  multiplication(antidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 56.10/56.21  -> antidomain(backward_diamond(A,B)) collapsed.
% 56.10/56.21  Rule [887] multiplication(c(A),codomain(antidomain(A))) -> c(A) collapsed.
% 56.10/56.21  Rule [894] leq(multiplication(antidomain(A),codomain(B)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [895] leq(multiplication(antidomain(A),codomain(B)),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [901] leq(multiplication(antidomain(A),codomain(B)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [905]
% 56.10/56.21  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [906]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [911] leq(multiplication(antidomain(A),coantidomain(B)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [912]
% 56.10/56.21  leq(multiplication(antidomain(A),coantidomain(B)),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [918] leq(multiplication(antidomain(A),coantidomain(B)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [922]
% 56.10/56.21  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [923]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [927] leq(multiplication(antidomain(A),codomain(B)),c(A) addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [930]
% 56.10/56.21  leq(multiplication(antidomain(A),coantidomain(B)),c(A) addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [935]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),antidomain(B)) ->
% 56.10/56.21  multiplication(A,antidomain(B)) collapsed.
% 56.10/56.21  Rule [936] leq(antidomain(A),codomain(antidomain(A))) -> true collapsed.
% 56.10/56.21  Rule [937] leq(antidomain(codomain(A)),coantidomain(A)) -> true collapsed.
% 56.10/56.21  Rule [938] leq(antidomain(coantidomain(A)),codomain(A)) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [939]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [940]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [941]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [942]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule [943] leq(multiplication(antidomain(A),c(B)),one) -> true collapsed.
% 56.10/56.21  Rule [944] leq(multiplication(antidomain(A),antidomain(B)),c(B)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [945] leq(multiplication(antidomain(A),forward_diamond(B,C)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [946] leq(multiplication(antidomain(A),backward_diamond(B,C)),one) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [947] leq(multiplication(antidomain(A),c(B)),one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [948]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [949]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [950] leq(antidomain(A),codomain(antidomain(A)) addition B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [951] leq(antidomain(codomain(A)),coantidomain(A) addition B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [952] leq(antidomain(coantidomain(A)),codomain(A) addition B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [953]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C)) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [954]
% 56.10/56.21  leq(multiplication(antidomain(A),antidomain(B)),c(B) addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [955]
% 56.10/56.21  leq(multiplication(antidomain(A),forward_diamond(B,C)),one addition X0) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [956]
% 56.10/56.21  leq(multiplication(antidomain(A),backward_diamond(B,C)),one addition X0) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule [968] leq(multiplication(codomain(A),antidomain(B)),c(B)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [972]
% 56.10/56.21  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [973]
% 56.10/56.21  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [979] leq(multiplication(coantidomain(A),antidomain(B)),c(B)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [983]
% 56.10/56.21  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [984]
% 56.10/56.21  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [985]
% 56.10/56.21  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [986]
% 56.10/56.21  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [987]
% 56.10/56.21  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [990] leq(multiplication(codomain(A),antidomain(B)),c(B) addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [993]
% 56.10/56.21  leq(multiplication(coantidomain(A),antidomain(B)),c(B) addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [999]
% 56.10/56.21  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1000]
% 56.10/56.21  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1001]
% 56.10/56.21  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1002]
% 56.10/56.21  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1003]
% 56.10/56.21  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1004]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1007]
% 56.10/56.21  multiplication(antidomain(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 56.10/56.21  -> antidomain(coantidomain(backward_diamond(A,B))) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1008]
% 56.10/56.21  leq(antidomain(A) addition multiplication(c(A),antidomain(B)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1009]
% 56.10/56.21  leq(multiplication(A,antidomain(B)) addition multiplication(A,antidomain(C)),A)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1010]
% 56.10/56.21  leq(multiplication(antidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1011]
% 56.10/56.21  leq(multiplication(A,codomain(B)) addition multiplication(A,antidomain(C)),A)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1012]
% 56.10/56.21  leq(multiplication(codomain(A),B) addition multiplication(B,antidomain(C)),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1013]
% 56.10/56.21  leq(multiplication(A,coantidomain(B)) addition multiplication(A,antidomain(C)),A)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1014]
% 56.10/56.21  leq(multiplication(coantidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1019]
% 56.10/56.21  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1020]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1025]
% 56.10/56.21  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1026]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1028]
% 56.10/56.21  leq(antidomain(A) addition multiplication(c(A),codomain(B)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1029]
% 56.10/56.21  leq(multiplication(antidomain(A),B) addition multiplication(B,codomain(C)),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1034]
% 56.10/56.21  leq(antidomain(A) addition multiplication(c(A),coantidomain(B)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1035]
% 56.10/56.21  leq(multiplication(antidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1039]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1040]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1041]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1042]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1043]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1044]
% 56.10/56.21  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1045]
% 56.10/56.21  leq(antidomain(A) addition multiplication(antidomain(B),c(A)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1046]
% 56.10/56.21  leq(multiplication(antidomain(A),B) addition multiplication(antidomain(C),B),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1047]
% 56.10/56.21  leq(multiplication(codomain(A),B) addition multiplication(antidomain(C),B),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1048]
% 56.10/56.21  leq(multiplication(coantidomain(A),B) addition multiplication(antidomain(C),B),B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1053]
% 56.10/56.21  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1054]
% 56.10/56.21  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1059]
% 56.10/56.21  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1060]
% 56.10/56.21  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1062]
% 56.10/56.21  leq(antidomain(A) addition multiplication(codomain(B),c(A)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1065]
% 56.10/56.21  leq(antidomain(A) addition multiplication(coantidomain(B),c(A)),c(A)) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1069]
% 56.10/56.21  multiplication(antidomain(A),multiplication(coantidomain(c(c(A))),B)) ->
% 56.10/56.21  multiplication(coantidomain(c(c(A))),B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1070]
% 56.10/56.21  c(c(B)) addition multiplication(antidomain(A),antidomain(B)) ->
% 56.10/56.21  c(c(B)) addition antidomain(A) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1071]
% 56.10/56.21  c(c(A)) addition multiplication(antidomain(A),antidomain(B)) ->
% 56.10/56.21  c(c(A)) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1072]
% 56.10/56.21  c(c(A)) addition multiplication(antidomain(A),codomain(B)) ->
% 56.10/56.21  c(c(A)) addition codomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1073]
% 56.10/56.21  c(c(A)) addition multiplication(antidomain(A),coantidomain(B)) ->
% 56.10/56.21  c(c(A)) addition coantidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1074]
% 56.10/56.21  c(c(B)) addition multiplication(codomain(A),antidomain(B)) ->
% 56.10/56.21  c(c(B)) addition codomain(A) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1075]
% 56.10/56.21  c(c(B)) addition multiplication(coantidomain(A),antidomain(B)) ->
% 56.10/56.21  c(c(B)) addition coantidomain(A) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1076]
% 56.10/56.21  c(c(multiplication(A,antidomain(forward_diamond(B,C))))) ->
% 56.10/56.21  forward_diamond(A,antidomain(multiplication(B,c(c(C))))) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1082]
% 56.10/56.21  c(A) addition multiplication(antidomain(B),c(c(A))) ->
% 56.10/56.21  antidomain(B) addition multiplication(c(c(B)),c(A)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1083]
% 56.10/56.21  c(c(B)) addition multiplication(antidomain(B),c(A)) <->
% 56.10/56.21  c(A) addition multiplication(c(c(B)),c(c(A))) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1084]
% 56.10/56.21  c(c(A)) addition multiplication(antidomain(B),c(A)) ->
% 56.10/56.21  c(c(A)) addition antidomain(B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1090]
% 56.10/56.21  c(multiplication(A,antidomain(forward_diamond(B,antidomain(C))))) ->
% 56.10/56.21  antidomain(forward_diamond(A,antidomain(multiplication(B,c(C))))) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1091]
% 56.10/56.21  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),C)) ->
% 56.10/56.21  multiplication(A,multiplication(c(B),C)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1093]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),multiplication(antidomain(B),C))
% 56.10/56.21  -> multiplication(A,multiplication(antidomain(B),C)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1096]
% 56.10/56.21  multiplication(multiplication(A,c(B)),multiplication(coantidomain(antidomain(B)),C))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule [1100] ifeq2(one,c(c(A)),leq(antidomain(A),c(c(A))),true) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1101]
% 56.10/56.21  leq(backward_diamond(sK5_goals_X1,multiplication(antidomain(sK4_goals_X2),
% 56.10/56.21                                    c(c(sK3_goals_X3)))),c(c(sK2_goals_X4))) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1102]
% 56.10/56.21  c(c(multiplication(A,B))) addition antidomain(multiplication(A,c(c(B)))) ->
% 56.10/56.21  one collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1105]
% 56.10/56.21  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 56.10/56.21                                                                     c(
% 56.10/56.21                                                                     c(C)))) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1106]
% 56.10/56.21  leq(multiplication(coantidomain(A),antidomain(B)) addition C,one addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1107]
% 56.10/56.21  leq(multiplication(codomain(A),antidomain(B)) addition C,one addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1108]
% 56.10/56.21  leq(multiplication(antidomain(A),antidomain(B)) addition C,one addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1109]
% 56.10/56.21  leq(multiplication(c(A),antidomain(B)) addition C,one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1110]
% 56.10/56.21  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 56.10/56.21                                                             c(c(C))))),B),C)
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1113]
% 56.10/56.21  leq(multiplication(antidomain(A),codomain(B)) addition C,one addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1117]
% 56.10/56.21  leq(multiplication(antidomain(A),coantidomain(B)) addition C,one addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1119]
% 56.10/56.21  leq(multiplication(antidomain(A),c(B)) addition C,one addition C) -> true
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1128]
% 56.10/56.21  c(c(multiplication(A,antidomain(B)))) addition antidomain(multiplication(A,
% 56.10/56.21                                                            c(B))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1129]
% 56.10/56.21  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(B))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1136]
% 56.10/56.21  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 56.10/56.21                                                                   c(c(C)))))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1137]
% 56.10/56.21  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 56.10/56.21                                                             antidomain(C),X0))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1138]
% 56.10/56.21  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 56.10/56.21                                                          antidomain(B),C),X0))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1139]
% 56.10/56.21  multiplication(multiplication(A,forward_diamond(B,antidomain(C))),antidomain(
% 56.10/56.21                                                                    multiplication(B,
% 56.10/56.21                                                                    c(C)))) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1140]
% 56.10/56.21  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 56.10/56.21                                                                c(c(B)))),C))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1141]
% 56.10/56.21  multiplication(forward_diamond(A,antidomain(B)),multiplication(antidomain(
% 56.10/56.21                                                                 multiplication(A,
% 56.10/56.21                                                                 c(B))),C)) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1142]
% 56.10/56.21  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(B)))) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1145]
% 56.10/56.21  multiplication(A,forward_diamond(B,C)) addition multiplication(A,antidomain(
% 56.10/56.21                                                                   forward_diamond(B,C)))
% 56.10/56.21  -> A collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1146]
% 56.10/56.21  multiplication(forward_diamond(B,C),A) addition multiplication(antidomain(
% 56.10/56.21                                                                 forward_diamond(B,C)),A)
% 56.10/56.21  -> A collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1153]
% 56.10/56.21  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(
% 56.10/56.21                                                                   multiplication(C,X0),X1))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1154]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(
% 56.10/56.21                                                                multiplication(B,C),X0),X1))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1155]
% 56.10/56.21  multiplication(multiplication(A,multiplication(B,multiplication(C,antidomain(X0)))),
% 56.10/56.21  multiplication(X0,X1)) -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1158]
% 56.10/56.21  multiplication(multiplication(A,multiplication(antidomain(multiplication(B,C)),B)),
% 56.10/56.21  multiplication(C,X0)) -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1159]
% 56.10/56.21  leq(forward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1160]
% 56.10/56.21  leq(backward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1171]
% 56.10/56.21  leq(forward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1172]
% 56.10/56.21  leq(forward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1177]
% 56.10/56.21  leq(backward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1178]
% 56.10/56.21  leq(backward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1179]
% 56.10/56.21  forward_diamond(multiplication(A,antidomain(forward_diamond(B,antidomain(C)))),
% 56.10/56.21  multiplication(B,c(C))) -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1180]
% 56.10/56.21  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B) addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1184]
% 56.10/56.21  multiplication(multiplication(multiplication(A,antidomain(coantidomain(B))),C),
% 56.10/56.21  coantidomain(backward_diamond(C,B))) -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1185]
% 56.10/56.21  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C) addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1188]
% 56.10/56.21  multiplication(multiplication(A,antidomain(coantidomain(B))),multiplication(C,
% 56.10/56.21                                                               coantidomain(
% 56.10/56.21                                                               backward_diamond(C,B))))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1189]
% 56.10/56.21  leq(antidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1190]
% 56.10/56.21  leq(codomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1191]
% 56.10/56.21  leq(coantidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1192]
% 56.10/56.21  leq(c(A) addition multiplication(antidomain(B),coantidomain(C)),one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1193]
% 56.10/56.21  leq(antidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1194]
% 56.10/56.21  leq(codomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1195]
% 56.10/56.21  leq(coantidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1196]
% 56.10/56.21  leq(c(A) addition multiplication(coantidomain(B),antidomain(C)),one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1197]
% 56.10/56.21  leq(antidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1201]
% 56.10/56.21  leq(antidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1205]
% 56.10/56.21  leq(antidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 56.10/56.21  one addition X0) -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1212]
% 56.10/56.21  leq(antidomain(A) addition multiplication(B,antidomain(C)),c(A) addition B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1213]
% 56.10/56.21  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(A) addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1214]
% 56.10/56.21  leq(multiplication(forward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1215]
% 56.10/56.21  leq(multiplication(backward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1216]
% 56.10/56.21  leq(antidomain(A) addition multiplication(B,codomain(C)),c(A) addition B) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1217]
% 56.10/56.21  leq(multiplication(antidomain(A),codomain(B)) addition C,c(A) addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1220]
% 56.10/56.21  leq(antidomain(A) addition multiplication(B,coantidomain(C)),c(A) addition B)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1221]
% 56.10/56.21  leq(multiplication(antidomain(A),coantidomain(B)) addition C,c(A) addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1224]
% 56.10/56.21  leq(antidomain(A) addition multiplication(antidomain(B),C),c(A) addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1225]
% 56.10/56.21  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(B) addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1226]
% 56.10/56.21  leq(multiplication(antidomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1227]
% 56.10/56.21  leq(multiplication(antidomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1228]
% 56.10/56.21  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1229]
% 56.10/56.21  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1230]
% 56.10/56.21  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1231]
% 56.10/56.21  leq(antidomain(A) addition multiplication(codomain(B),C),c(A) addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1232]
% 56.10/56.21  leq(multiplication(codomain(A),antidomain(B)) addition C,c(B) addition C) ->
% 56.10/56.21  true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1235]
% 56.10/56.21  leq(antidomain(A) addition multiplication(coantidomain(B),C),c(A) addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1236]
% 56.10/56.21  leq(multiplication(coantidomain(A),antidomain(B)) addition C,c(B) addition C)
% 56.10/56.21  -> true collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1240]
% 56.10/56.21  multiplication(multiplication(A,c(B)),multiplication(C,coantidomain(multiplication(
% 56.10/56.21                                                                      antidomain(B),C))))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1242]
% 56.10/56.21  multiplication(multiplication(multiplication(A,c(B)),C),coantidomain(
% 56.10/56.21                                                          multiplication(
% 56.10/56.21                                                          antidomain(B),C))) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1244]
% 56.10/56.21  multiplication(multiplication(c(A),B),multiplication(coantidomain(multiplication(
% 56.10/56.21                                                                    antidomain(A),B)),C))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1245]
% 56.10/56.21  multiplication(multiplication(antidomain(coantidomain(A)),B),multiplication(
% 56.10/56.21                                                               coantidomain(
% 56.10/56.21                                                               backward_diamond(B,A)),C))
% 56.10/56.21  -> zero collapsed.
% 56.10/56.21  Rule [1249] forward_diamond(antidomain(A),A) -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1250] forward_diamond(antidomain(B) addition A,B) -> forward_diamond(A,B)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [1251] forward_diamond(multiplication(c(A),antidomain(B)),A) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1254]
% 56.10/56.21  forward_diamond(c(c(A)) addition B,antidomain(A)) ->
% 56.10/56.21  forward_diamond(B,antidomain(A)) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1255]
% 56.10/56.21  forward_diamond(multiplication(c(B),antidomain(C)) addition A,B) ->
% 56.10/56.21  forward_diamond(A,B) collapsed.
% 56.10/56.21  Rule [1259] antidomain(one addition A) -> zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1260] multiplication(multiplication(A,antidomain(B addition C)),B) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1261] multiplication(antidomain(A addition B),multiplication(A,C)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1262] multiplication(antidomain(A),multiplication(codomain(B),A)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1263]
% 56.10/56.21  multiplication(antidomain(A),multiplication(coantidomain(B),A)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1264] multiplication(antidomain(A),multiplication(antidomain(B),A)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [1265] multiplication(antidomain(c(A) addition B),antidomain(A)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1266]
% 56.10/56.21  codomain(A) addition antidomain(coantidomain(A) addition B) -> codomain(A)
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1267]
% 56.10/56.21  multiplication(antidomain(A addition B),multiplication(coantidomain(C),A)) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1268]
% 56.10/56.21  multiplication(antidomain(A addition B),multiplication(codomain(C),A)) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1269]
% 56.10/56.21  multiplication(antidomain(A addition B),multiplication(antidomain(C),A)) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1270]
% 56.10/56.21  antidomain(forward_diamond(antidomain(c(A) addition B),antidomain(A))) -> one
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule [1278] multiplication(antidomain(A),coantidomain(c(A))) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1279]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),coantidomain(A)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1280] multiplication(antidomain(A),coantidomain(c(A) addition B)) -> zero
% 56.10/56.21  collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1285]
% 56.10/56.21  multiplication(multiplication(A,antidomain(B)),coantidomain(A addition C)) ->
% 56.10/56.21  zero collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1286]
% 56.10/56.21  multiplication(antidomain(codomain(A) addition B),coantidomain(A)) ->
% 56.10/56.21  antidomain(codomain(A) addition B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1287]
% 56.10/56.21  multiplication(antidomain(coantidomain(A) addition B),codomain(A)) ->
% 56.10/56.21  antidomain(coantidomain(A) addition B) collapsed.
% 56.10/56.21  Rule
% 56.10/56.21  [1288]
% 56.10/56.22  multiplication(multiplication(A,antidomain(B addition C)),multiplication(B,X0))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1289]
% 56.10/56.22  multiplication(antidomain(A addition B),multiplication(multiplication(A,C),X0))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1295]
% 56.10/56.22  codomain(antidomain(A) addition B) addition antidomain(A) ->
% 56.10/56.22  codomain(antidomain(A) addition B) collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1298] leq(multiplication(A,antidomain(B)),multiplication(A,c(B))) -> true
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1302]
% 56.10/56.22  leq(antidomain(multiplication(A,c(B))),antidomain(forward_diamond(A,antidomain(B))))
% 56.10/56.22  -> true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1303]
% 56.10/56.22  leq(multiplication(A,antidomain(B)),multiplication(A,c(B)) addition C) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule [1304] multiplication(antidomain(A),c(A)) -> antidomain(A) collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1305]
% 56.10/56.22  multiplication(antidomain(multiplication(A,c(B))),multiplication(A,antidomain(B)))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1306]
% 56.10/56.22  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 56.10/56.22                                                              c(B)))) -> zero
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1307] leq(multiplication(antidomain(A),B),multiplication(c(A),B)) -> true
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1308]
% 56.10/56.22  multiplication(antidomain(A),multiplication(coantidomain(c(A)),B)) -> zero
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1309]
% 56.10/56.22  leq(multiplication(antidomain(A),B),multiplication(c(A),B) addition C) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1313]
% 56.10/56.22  multiplication(antidomain(multiplication(c(A),B)),multiplication(antidomain(A),B))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1314]
% 56.10/56.22  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 56.10/56.22                                                              c(A),B))) -> zero
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1315] leq(antidomain(A) addition antidomain(B),c(A) addition c(B)) -> true
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1316]
% 56.10/56.22  leq(one,antidomain(multiplication(antidomain(antidomain(A) addition B),c(A))))
% 56.10/56.22  -> true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1317]
% 56.10/56.22  antidomain(multiplication(A,forward_diamond(coantidomain(A),B))) -> one
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1318] antidomain(multiplication(antidomain(A),forward_diamond(A,B))) -> one
% 56.10/56.22  collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1319]
% 56.10/56.22  antidomain(multiplication(coantidomain(A),forward_diamond(codomain(A),B))) ->
% 56.10/56.22  one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1320]
% 56.10/56.22  antidomain(multiplication(multiplication(A,B),forward_diamond(coantidomain(B),C)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1321]
% 56.10/56.22  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(B,C)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1322]
% 56.10/56.22  antidomain(multiplication(A,forward_diamond(multiplication(coantidomain(A),B),C)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1323]
% 56.10/56.22  antidomain(multiplication(antidomain(A),forward_diamond(multiplication(A,B),C)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1324]
% 56.10/56.22  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 56.10/56.22                                                              codomain(B),C)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1325]
% 56.10/56.22  antidomain(multiplication(coantidomain(A),forward_diamond(multiplication(
% 56.10/56.22                                                            codomain(A),B),C)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1326]
% 56.10/56.22  antidomain(multiplication(multiplication(A,B),forward_diamond(multiplication(
% 56.10/56.22                                                                coantidomain(B),C),X0)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1327]
% 56.10/56.22  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(
% 56.10/56.22                                                            multiplication(B,C),X0)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1328]
% 56.10/56.22  forward_diamond(A,B) addition antidomain(multiplication(A,forward_diamond(
% 56.10/56.22                                                            codomain(A),B))) ->
% 56.10/56.22  one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1329]
% 56.10/56.22  multiplication(multiplication(antidomain(multiplication(A,B) addition C),A),
% 56.10/56.22  multiplication(B,X0)) -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1330]
% 56.10/56.22  multiplication(antidomain(multiplication(A,B) addition C),multiplication(A,
% 56.10/56.22                                                            multiplication(B,X0)))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1333]
% 56.10/56.22  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),multiplication(A,
% 56.10/56.22                                                                    c(B))) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1334]
% 56.10/56.22  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),multiplication(A,
% 56.10/56.22                                                                  c(B))) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1335]
% 56.10/56.22  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),multiplication(A,
% 56.10/56.22                                                                      c(B))) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1336]
% 56.10/56.22  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 56.10/56.22                                                                    c(C))) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1337]
% 56.10/56.22  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 56.10/56.22                                                                  c(C))) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1338]
% 56.10/56.22  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 56.10/56.22                                                                      c(C))) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1339]
% 56.10/56.22  multiplication(antidomain(multiplication(A,c(B)) addition C),multiplication(A,
% 56.10/56.22                                                               antidomain(B)))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1340]
% 56.10/56.22  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 56.10/56.22                                                              c(B)) addition C))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1341]
% 56.10/56.22  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),multiplication(
% 56.10/56.22                                                                    c(A),B)) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1342]
% 56.10/56.22  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),multiplication(
% 56.10/56.22                                                                  c(A),B)) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1343]
% 56.10/56.22  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),multiplication(
% 56.10/56.22                                                                      c(A),B))
% 56.10/56.22  -> true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1344]
% 56.10/56.22  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),multiplication(
% 56.10/56.22                                                                    c(B),C)) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1345]
% 56.10/56.22  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),multiplication(
% 56.10/56.22                                                                  c(B),C)) ->
% 56.10/56.22  true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1346]
% 56.10/56.22  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),multiplication(
% 56.10/56.22                                                                      c(B),C))
% 56.10/56.22  -> true collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1348]
% 56.10/56.22  multiplication(antidomain(multiplication(c(A),B) addition C),multiplication(
% 56.10/56.22                                                               antidomain(A),B))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1349]
% 56.10/56.22  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 56.10/56.22                                                              c(A),B) addition C))
% 56.10/56.22  -> zero collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1350]
% 56.10/56.22  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 56.10/56.22                                                              multiplication(
% 56.10/56.22                                                              codomain(B),C),X0)))
% 56.10/56.22  -> one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1351]
% 56.10/56.22  antidomain(multiplication(antidomain(A addition B),forward_diamond(A,C))) ->
% 56.10/56.22  one collapsed.
% 56.10/56.22  Rule
% 56.10/56.22  [1352]
% 56.10/56.22  antidomain(multiplication(A,forward_diamond(coantidomain(A addition B),C)))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1356]
% 60.62/60.74  antidomain(multiplication(codomain(A),forward_diamond(coantidomain(A),B))) ->
% 60.62/60.74  one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1362]
% 60.62/60.74  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,antidomain(A))))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1366]
% 60.62/60.74  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 60.62/60.74                                                           backward_diamond(B,
% 60.62/60.74                                                           coantidomain(A))))
% 60.62/60.74  -> zero collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1372]
% 60.62/60.74  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),antidomain(
% 60.62/60.74                                                                      multiplication(A,B))))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1375]
% 60.62/60.74  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 60.62/60.74                                                                     antidomain(A)))))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1377]
% 60.62/60.74  coantidomain(backward_diamond(multiplication(A,B),multiplication(antidomain(
% 60.62/60.74                                                                   multiplication(C,A)),C)))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1378]
% 60.62/60.74  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 60.62/60.74                                                                      antidomain(A))))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule [1379] coantidomain(backward_diamond(A,antidomain(A addition B))) -> one
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1382]
% 60.62/60.74  multiplication(antidomain(coantidomain(backward_diamond(A,B))),coantidomain(
% 60.62/60.74                                                                 multiplication(B,A)))
% 60.62/60.74  -> zero collapsed.
% 60.62/60.74  Rule [1383] backward_diamond(A,antidomain(A)) -> zero collapsed.
% 60.62/60.74  Rule [1385] backward_diamond(A,multiplication(B,antidomain(A))) -> zero
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1387]
% 60.62/60.74  coantidomain(backward_diamond(antidomain(A),multiplication(B,c(c(A))))) ->
% 60.62/60.74  one collapsed.
% 60.62/60.74  Rule [1389] backward_diamond(multiplication(A,B),antidomain(A)) -> zero
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1390]
% 60.62/60.74  coantidomain(backward_diamond(multiplication(antidomain(A),B),c(c(A)))) ->
% 60.62/60.74  one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1391]
% 60.62/60.74  antidomain(multiplication(multiplication(A,codomain(B)),forward_diamond(
% 60.62/60.74                                                          coantidomain(B),C)))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1392]
% 60.62/60.74  antidomain(multiplication(codomain(A),forward_diamond(multiplication(
% 60.62/60.74                                                        coantidomain(A),B),C)))
% 60.62/60.74  -> one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1395]
% 60.62/60.74  codomain(c(A)) addition coantidomain(backward_diamond(antidomain(A),c(A))) ->
% 60.62/60.74  one collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1396]
% 60.62/60.74  codomain(antidomain(A)) addition coantidomain(backward_diamond(antidomain(A),
% 60.62/60.74                                                antidomain(A))) -> one
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1399]
% 60.62/60.74  leq(coantidomain(c(A)),coantidomain(backward_diamond(antidomain(A),c(A)))) ->
% 60.62/60.74  true collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1400]
% 60.62/60.74  leq(coantidomain(antidomain(A)),coantidomain(backward_diamond(antidomain(A),
% 60.62/60.74                                               antidomain(A)))) -> true
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1408]
% 60.62/60.74  c(A) addition multiplication(antidomain(A),forward_diamond(B,C)) -> c(A)
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1415]
% 60.62/60.74  c(A) addition multiplication(forward_diamond(B,C),antidomain(A)) -> c(A)
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1417]
% 60.62/60.74  multiplication(antidomain(A),multiplication(forward_diamond(B,C),A)) -> zero
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule [1418] c(A) addition multiplication(antidomain(A),c(B)) -> c(A)
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1425] multiplication(multiplication(A,c(B)),antidomain(C)) addition A -> A
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1426] multiplication(multiplication(A,antidomain(B)),c(C)) addition A -> A
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1427] multiplication(multiplication(antidomain(A),B),c(C)) addition B -> B
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1428] multiplication(antidomain(B),multiplication(A,c(C))) addition A -> A
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1433] leq(multiplication(multiplication(A,c(B)),antidomain(C)),A) -> true
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule
% 60.62/60.74  [1436] leq(multiplication(antidomain(A),multiplication(B,c(C))),B) -> true
% 60.62/60.74  collapsed.
% 60.62/60.74  Rule [1441] c(A) addition multiplication(c(B),antidomain(A)) -> c(A)
% 60.62/60.74  collapsed.
% 60.62/60.74  The conjecture has been reduced. 
% 60.62/60.74  Conjecture is now:
% 60.62/60.74  backward_diamond(multiplication(c(sK4_goals_X2),sK5_goals_X1) addition 
% 60.91/61.01                   multiplication(c(c(sK4_goals_X2)),sK1_goals_X0),c(c(sK3_goals_X3))) addition 
% 60.91/61.01  c(c(sK2_goals_X4)) = c(c(sK2_goals_X4))
% 60.91/61.01  
% 60.91/61.01  Current number of equations to process: 3638
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 609
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1444]
% 60.91/61.01  backward_diamond(sK5_goals_X1,multiplication(c(sK4_goals_X2),c(c(sK3_goals_X3)))) addition 
% 60.91/61.01  c(c(sK2_goals_X4)) -> c(c(sK2_goals_X4))
% 60.91/61.01  Current number of equations to process: 3636
% 60.91/61.01  Current number of ordered equations: 1
% 60.91/61.01  Current number of rules: 610
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1445]
% 60.91/61.01  c(forward_diamond(X0,X1)) addition c(multiplication(X0,X1)) ->
% 60.91/61.01  c(forward_diamond(X0,X1))
% 60.91/61.01  Current number of equations to process: 3636
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 611
% 60.91/61.01  New rule produced : [1446] c(one addition A) -> zero
% 60.91/61.01  Current number of equations to process: 3635
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 612
% 60.91/61.01  New rule produced : [1447] backward_diamond(A,c(A)) -> zero
% 60.91/61.01  Current number of equations to process: 3634
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 613
% 60.91/61.01  New rule produced : [1448] multiplication(multiplication(A,c(B)),B) -> zero
% 60.91/61.01  Rule [675] multiplication(multiplication(A,c(c(B))),c(B)) -> zero collapsed.
% 60.91/61.01  Current number of equations to process: 3634
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 613
% 60.91/61.01  New rule produced : [1449] multiplication(c(A addition B),A) -> zero
% 60.91/61.01  Current number of equations to process: 3633
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 614
% 60.91/61.01  New rule produced : [1450] leq(c(A),codomain(c(A))) -> true
% 60.91/61.01  Current number of equations to process: 3632
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 615
% 60.91/61.01  New rule produced : [1451] leq(c(codomain(A)),coantidomain(A)) -> true
% 60.91/61.01  Current number of equations to process: 3631
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 616
% 60.91/61.01  New rule produced : [1452] leq(c(coantidomain(A)),codomain(A)) -> true
% 60.91/61.01  Current number of equations to process: 3630
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 617
% 60.91/61.01  New rule produced : [1453] backward_diamond(A,multiplication(B,c(A))) -> zero
% 60.91/61.01  Current number of equations to process: 3629
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 618
% 60.91/61.01  New rule produced : [1454] backward_diamond(multiplication(A,B),c(A)) -> zero
% 60.91/61.01  Current number of equations to process: 3628
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 619
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1455] c(codomain(A)) addition coantidomain(A) -> coantidomain(A)
% 60.91/61.01  Current number of equations to process: 3627
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 620
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1456] c(coantidomain(A)) addition codomain(A) -> codomain(A)
% 60.91/61.01  Current number of equations to process: 3626
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 621
% 60.91/61.01  New rule produced : [1457] c(forward_diamond(A,coantidomain(A))) -> one
% 60.91/61.01  Current number of equations to process: 3625
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 622
% 60.91/61.01  New rule produced : [1458] c(A) addition codomain(c(A)) -> codomain(c(A))
% 60.91/61.01  Current number of equations to process: 3627
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 623
% 60.91/61.01  New rule produced : [1459] leq(multiplication(c(A),c(B)),one) -> true
% 60.91/61.01  Current number of equations to process: 3626
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 624
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1460] multiplication(c(A),multiplication(codomain(B),A)) -> zero
% 60.91/61.01  Current number of equations to process: 3624
% 60.91/61.01  Current number of ordered equations: 1
% 60.91/61.01  Current number of rules: 625
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1461] multiplication(c(A),multiplication(coantidomain(B),A)) -> zero
% 60.91/61.01  Current number of equations to process: 3624
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 626
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1462] multiplication(c(A),multiplication(c(B),A)) -> zero
% 60.91/61.01  Current number of equations to process: 3623
% 60.91/61.01  Current number of ordered equations: 0
% 60.91/61.01  Current number of rules: 627
% 60.91/61.01  New rule produced :
% 60.91/61.01  [1463] c(forward_diamond(A,multiplication(coantidomain(A),c(c(B))))) -> one
% 61.21/61.37  Current number of equations to process: 3622
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 628
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1464] c(forward_diamond(c(A),multiplication(A,c(c(B))))) -> one
% 61.21/61.37  Current number of equations to process: 3621
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 629
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1465] coantidomain(backward_diamond(A,c(A addition B))) -> one
% 61.21/61.37  Current number of equations to process: 3620
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 630
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1466] multiplication(c(c(A)),coantidomain(c(A))) -> coantidomain(c(A))
% 61.21/61.37  Current number of equations to process: 3618
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 631
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1467] c(forward_diamond(codomain(A),coantidomain(A))) -> one
% 61.21/61.37  Current number of equations to process: 3637
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 632
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1468] leq(multiplication(forward_diamond(A,B),c(C)),one) -> true
% 61.21/61.37  Current number of equations to process: 3636
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 633
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1469] leq(multiplication(backward_diamond(A,B),c(C)),one) -> true
% 61.21/61.37  Current number of equations to process: 3635
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 634
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1470] leq(multiplication(c(A),forward_diamond(B,C)),one) -> true
% 61.21/61.37  Current number of equations to process: 3634
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 635
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1471] leq(multiplication(c(A),backward_diamond(B,C)),one) -> true
% 61.21/61.37  Current number of equations to process: 3633
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 636
% 61.21/61.37  New rule produced : [1472] leq(c(A),codomain(c(A)) addition B) -> true
% 61.21/61.37  Current number of equations to process: 3632
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 637
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1473] leq(c(codomain(A)),coantidomain(A) addition B) -> true
% 61.21/61.37  Current number of equations to process: 3631
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 638
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1474] leq(c(coantidomain(A)),codomain(A) addition B) -> true
% 61.21/61.37  Current number of equations to process: 3630
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 639
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1475] multiplication(multiplication(A,c(B addition C)),B) -> zero
% 61.21/61.37  Current number of equations to process: 3629
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 640
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1476] multiplication(c(A addition B),multiplication(A,C)) -> zero
% 61.21/61.37  Current number of equations to process: 3628
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 641
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1477]
% 61.21/61.37  c(forward_diamond(coantidomain(A),multiplication(codomain(A),c(c(B))))) ->
% 61.21/61.37  one
% 61.21/61.37  Current number of equations to process: 3626
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 642
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1478]
% 61.21/61.37  c(forward_diamond(codomain(A),multiplication(coantidomain(A),c(c(B))))) ->
% 61.21/61.37  one
% 61.21/61.37  Current number of equations to process: 3625
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 643
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1479] multiplication(c(A),multiplication(forward_diamond(B,C),A)) -> zero
% 61.21/61.37  Current number of equations to process: 3624
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 644
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1480] multiplication(c(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 61.21/61.37  Current number of equations to process: 3623
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 645
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1481] multiplication(c(A),multiplication(c(A),B)) -> multiplication(c(A),B)
% 61.21/61.37  Current number of equations to process: 3622
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 646
% 61.21/61.37  New rule produced :
% 61.21/61.37  [1482] multiplication(multiplication(A,c(B)),c(B)) -> multiplication(A,c(B))
% 61.21/61.37  Rule
% 61.21/61.37  [799]
% 61.21/61.37  multiplication(multiplication(A,c(c(B))),c(c(B))) ->
% 61.21/61.37  multiplication(A,c(c(B))) collapsed.
% 61.21/61.37  Current number of equations to process: 3621
% 61.21/61.37  Current number of ordered equations: 0
% 61.21/61.37  Current number of rules: 646
% 61.21/61.37  New rule produced :
% 61.90/62.07  [1483] c(coantidomain(A) addition B) addition codomain(A) -> codomain(A)
% 61.90/62.07  Current number of equations to process: 3620
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 647
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1484] c(forward_diamond(multiplication(A,B),coantidomain(B))) -> one
% 61.90/62.07  Current number of equations to process: 3627
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 648
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1485] c(forward_diamond(A,multiplication(coantidomain(A),B))) -> one
% 61.90/62.07  Rule
% 61.90/62.07  [1463] c(forward_diamond(A,multiplication(coantidomain(A),c(c(B))))) -> one
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3626
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 648
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1486] c(forward_diamond(c(A),multiplication(A,B))) -> one
% 61.90/62.07  Rule [1464] c(forward_diamond(c(A),multiplication(A,c(c(B))))) -> one
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3625
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 648
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1487] multiplication(multiplication(A,c(B)),c(C)) addition A -> A
% 61.90/62.07  Rule [792] multiplication(multiplication(A,c(c(B))),c(c(C))) addition A -> A
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3727
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 648
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1488] multiplication(multiplication(c(A),B),c(C)) addition B -> B
% 61.90/62.07  Rule [793] multiplication(multiplication(c(c(A)),B),c(c(C))) addition B -> B
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3726
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 648
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1489] multiplication(c(A),multiplication(B,c(C))) addition B -> B
% 61.90/62.07  Rule [794] multiplication(c(c(A)),multiplication(B,c(c(C)))) addition B -> B
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3725
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 648
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1490]
% 61.90/62.07  multiplication(multiplication(A,c(B)),coantidomain(A addition C)) -> zero
% 61.90/62.07  Current number of equations to process: 3724
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 649
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1491] multiplication(c(A),multiplication(B,codomain(C))) addition B -> B
% 61.90/62.07  Rule
% 61.90/62.07  [722] multiplication(c(c(A)),multiplication(B,codomain(C))) addition B -> B
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3721
% 61.90/62.07  Current number of ordered equations: 1
% 61.90/62.07  Current number of rules: 649
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1492] multiplication(c(A),multiplication(B,coantidomain(C))) addition B -> B
% 61.90/62.07  Rule
% 61.90/62.07  [721]
% 61.90/62.07  multiplication(c(c(A)),multiplication(B,coantidomain(C))) addition B -> B
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3721
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 649
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1493] multiplication(c(A),multiplication(c(B),C)) addition C -> C
% 61.90/62.07  Rule [795] multiplication(c(c(A)),multiplication(c(c(B)),C)) addition C -> C
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3720
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 649
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1494] multiplication(c(A),multiplication(codomain(B),C)) addition C -> C
% 61.90/62.07  Rule
% 61.90/62.07  [725] multiplication(c(c(A)),multiplication(codomain(B),C)) addition C -> C
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3717
% 61.90/62.07  Current number of ordered equations: 1
% 61.90/62.07  Current number of rules: 649
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1495] multiplication(c(A),multiplication(coantidomain(B),C)) addition C -> C
% 61.90/62.07  Rule
% 61.90/62.07  [724]
% 61.90/62.07  multiplication(c(c(A)),multiplication(coantidomain(B),C)) addition C -> C
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3717
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 649
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1496] multiplication(multiplication(c(A),B),codomain(C)) addition B -> B
% 61.90/62.07  Rule
% 61.90/62.07  [731] multiplication(multiplication(c(c(A)),B),codomain(C)) addition B -> B
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3716
% 61.90/62.07  Current number of ordered equations: 0
% 61.90/62.07  Current number of rules: 649
% 61.90/62.07  New rule produced :
% 61.90/62.07  [1497] multiplication(codomain(A),multiplication(c(B),C)) addition C -> C
% 61.90/62.07  Rule
% 61.90/62.07  [733] multiplication(codomain(A),multiplication(c(c(B)),C)) addition C -> C
% 61.90/62.07  collapsed.
% 61.90/62.07  Current number of equations to process: 3715
% 61.90/62.07  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 649
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1498] multiplication(multiplication(c(A),B),coantidomain(C)) addition B -> B
% 62.21/62.34  Rule
% 62.21/62.34  [735]
% 62.21/62.34  multiplication(multiplication(c(c(A)),B),coantidomain(C)) addition B -> B
% 62.21/62.34  collapsed.
% 62.21/62.34  Current number of equations to process: 3714
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 649
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1499] multiplication(coantidomain(A),multiplication(c(B),C)) addition C -> C
% 62.21/62.34  Rule
% 62.21/62.34  [737]
% 62.21/62.34  multiplication(coantidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 62.21/62.34  collapsed.
% 62.21/62.34  Current number of equations to process: 3713
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 649
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1500] leq(multiplication(multiplication(A,codomain(B)),c(C)),A) -> true
% 62.21/62.34  Current number of equations to process: 3711
% 62.21/62.34  Current number of ordered equations: 1
% 62.21/62.34  Current number of rules: 650
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1501] leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A) -> true
% 62.21/62.34  Current number of equations to process: 3711
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 651
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1502] leq(multiplication(multiplication(codomain(A),B),c(C)),B) -> true
% 62.21/62.34  Current number of equations to process: 3709
% 62.21/62.34  Current number of ordered equations: 1
% 62.21/62.34  Current number of rules: 652
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1503] leq(multiplication(multiplication(coantidomain(A),B),c(C)),B) -> true
% 62.21/62.34  Current number of equations to process: 3709
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 653
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1504] leq(multiplication(c(A),c(B)),one addition C) -> true
% 62.21/62.34  Current number of equations to process: 3708
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 654
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1505] leq(multiplication(multiplication(c(A),B),c(C)),B) -> true
% 62.21/62.34  Current number of equations to process: 3707
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 655
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1506] leq(multiplication(multiplication(c(A),B),codomain(C)),B) -> true
% 62.21/62.34  Current number of equations to process: 3706
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 656
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1507] leq(multiplication(multiplication(c(A),B),coantidomain(C)),B) -> true
% 62.21/62.34  Current number of equations to process: 3705
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 657
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1508] leq(multiplication(c(A),multiplication(B,codomain(C))),B) -> true
% 62.21/62.34  Current number of equations to process: 3703
% 62.21/62.34  Current number of ordered equations: 1
% 62.21/62.34  Current number of rules: 658
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1509] leq(multiplication(c(A),multiplication(B,coantidomain(C))),B) -> true
% 62.21/62.34  Current number of equations to process: 3703
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 659
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1510] leq(multiplication(c(A),multiplication(codomain(B),C)),C) -> true
% 62.21/62.34  Current number of equations to process: 3701
% 62.21/62.34  Current number of ordered equations: 1
% 62.21/62.34  Current number of rules: 660
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1511] leq(multiplication(c(A),multiplication(coantidomain(B),C)),C) -> true
% 62.21/62.34  Current number of equations to process: 3701
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 661
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1512] leq(multiplication(c(A),multiplication(B,c(C))),B) -> true
% 62.21/62.34  Current number of equations to process: 3699
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 662
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1513] leq(multiplication(c(A),multiplication(c(B),C)),C) -> true
% 62.21/62.34  Current number of equations to process: 3698
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 663
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1514] leq(multiplication(codomain(A),multiplication(c(B),C)),C) -> true
% 62.21/62.34  Current number of equations to process: 3697
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 664
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1515] leq(multiplication(coantidomain(A),multiplication(c(B),C)),C) -> true
% 62.21/62.34  Current number of equations to process: 3696
% 62.21/62.34  Current number of ordered equations: 0
% 62.21/62.34  Current number of rules: 665
% 62.21/62.34  New rule produced :
% 62.21/62.34  [1516]
% 62.21/62.34  multiplication(c(A addition B),multiplication(coantidomain(C),A)) -> zero
% 62.21/62.34  Current number of equations to process: 3694
% 62.21/62.34  Current number of ordered equations: 1
% 64.81/64.94  Current number of rules: 666
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1517] multiplication(c(A addition B),multiplication(codomain(C),A)) -> zero
% 64.81/64.94  Current number of equations to process: 3694
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 667
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1518] multiplication(c(A addition B),multiplication(c(C),A)) -> zero
% 64.81/64.94  Current number of equations to process: 3693
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 668
% 64.81/64.94  New rule produced : [1519] c(forward_diamond(c(c(A) addition B),c(A))) -> one
% 64.81/64.94  Current number of equations to process: 3692
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 669
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1520]
% 64.81/64.94  c(forward_diamond(multiplication(A,B),multiplication(coantidomain(B),c(c(C)))))
% 64.81/64.94  -> one
% 64.81/64.94  Current number of equations to process: 3690
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 670
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1521]
% 64.81/64.94  c(forward_diamond(multiplication(A,c(B)),multiplication(B,c(c(C))))) -> one
% 64.81/64.94  Current number of equations to process: 3689
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 671
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1522]
% 64.81/64.94  c(forward_diamond(A,multiplication(multiplication(coantidomain(A),B),c(c(C)))))
% 64.81/64.94  -> one
% 64.81/64.94  Current number of equations to process: 3688
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 672
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1523]
% 64.81/64.94  c(forward_diamond(c(A),multiplication(multiplication(A,B),c(c(C))))) -> one
% 64.81/64.94  Current number of equations to process: 3687
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 673
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1524] c(forward_diamond(c(A addition B),multiplication(A,c(c(C))))) -> one
% 64.81/64.94  Current number of equations to process: 3686
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 674
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1525]
% 64.81/64.94  c(forward_diamond(A,multiplication(coantidomain(A addition B),c(c(C))))) ->
% 64.81/64.94  one
% 64.81/64.94  Current number of equations to process: 3685
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 675
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1526]
% 64.81/64.94  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,c(A)))) ->
% 64.81/64.94  one
% 64.81/64.94  Current number of equations to process: 3684
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 676
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1527] leq(multiplication(multiplication(A,c(B)),c(C)),A) -> true
% 64.81/64.94  Current number of equations to process: 3678
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 677
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1528]
% 64.81/64.94  one addition multiplication(backward_diamond(A,B),backward_diamond(C,X0)) ->
% 64.81/64.94  one
% 64.81/64.94  Current number of equations to process: 3723
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 678
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1529] forward_diamond(multiplication(c(A),backward_diamond(B,C)),A) -> zero
% 64.81/64.94  Current number of equations to process: 3775
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 679
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1530]
% 64.81/64.94  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A)) ->
% 64.81/64.94  zero
% 64.81/64.94  Current number of equations to process: 3774
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 680
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1531]
% 64.81/64.94  multiplication(A,multiplication(coantidomain(B),codomain(C))) addition A -> A
% 64.81/64.94  Current number of equations to process: 4003
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 681
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1532]
% 64.81/64.94  multiplication(multiplication(coantidomain(B),codomain(C)),A) addition A -> A
% 64.81/64.94  Current number of equations to process: 4002
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 682
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1533]
% 64.81/64.94  multiplication(A,multiplication(codomain(B),codomain(C))) addition A -> A
% 64.81/64.94  Current number of equations to process: 4120
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 683
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1534]
% 64.81/64.94  multiplication(multiplication(codomain(B),codomain(C)),A) addition A -> A
% 64.81/64.94  Current number of equations to process: 4119
% 64.81/64.94  Current number of ordered equations: 0
% 64.81/64.94  Current number of rules: 684
% 64.81/64.94  New rule produced :
% 64.81/64.94  [1535] multiplication(A,multiplication(c(B),codomain(C))) addition A -> A
% 64.81/64.94  Current number of equations to process: 4240
% 64.81/64.94  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 685
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1536] multiplication(multiplication(c(B),codomain(C)),A) addition A -> A
% 67.31/67.45  Current number of equations to process: 4239
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 686
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1537] multiplication(forward_diamond(A,B),c(forward_diamond(A,B))) -> zero
% 67.31/67.45  Current number of equations to process: 4359
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 687
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1538]
% 67.31/67.45  forward_diamond(c(forward_diamond(A,B)),multiplication(A,c(c(B)))) -> zero
% 67.31/67.45  Current number of equations to process: 4358
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 688
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1539] forward_diamond(multiplication(c(forward_diamond(A,B)),A),B) -> zero
% 67.31/67.45  Current number of equations to process: 4357
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 689
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1540]
% 67.31/67.45  multiplication(multiplication(A,c(coantidomain(B))),codomain(B)) ->
% 67.31/67.45  multiplication(A,c(coantidomain(B)))
% 67.31/67.45  Current number of equations to process: 4355
% 67.31/67.45  Current number of ordered equations: 1
% 67.31/67.45  Current number of rules: 690
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1541]
% 67.31/67.45  multiplication(multiplication(A,c(codomain(B))),coantidomain(B)) ->
% 67.31/67.45  multiplication(A,c(codomain(B)))
% 67.31/67.45  Current number of equations to process: 4355
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 691
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1542]
% 67.31/67.45  codomain(B) addition multiplication(c(A),coantidomain(B)) ->
% 67.31/67.45  c(A) addition codomain(B)
% 67.31/67.45  Rule
% 67.31/67.45  [1079]
% 67.31/67.45  codomain(A) addition multiplication(c(c(B)),coantidomain(A)) ->
% 67.31/67.45  c(c(B)) addition codomain(A) collapsed.
% 67.31/67.45  Current number of equations to process: 4354
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 691
% 67.31/67.45  Rule [1085]
% 67.31/67.45       c(A) addition multiplication(codomain(B),c(c(A))) <->
% 67.31/67.45       codomain(B) addition multiplication(coantidomain(B),c(A)) is composed into 
% 67.31/67.45  [1085]
% 67.31/67.45  c(A) addition multiplication(codomain(B),c(c(A))) ->
% 67.31/67.45  c(A) addition codomain(B)
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1543]
% 67.31/67.45  codomain(A) addition multiplication(coantidomain(A),c(B)) ->
% 67.31/67.45  c(B) addition codomain(A)
% 67.31/67.45  Rule
% 67.31/67.45  [1077]
% 67.31/67.45  codomain(A) addition multiplication(coantidomain(A),c(c(B))) ->
% 67.31/67.45  c(c(B)) addition codomain(A) collapsed.
% 67.31/67.45  Rule
% 67.31/67.45  [1087]
% 67.31/67.45  codomain(B) addition multiplication(coantidomain(B),c(A)) <->
% 67.31/67.45  c(A) addition multiplication(codomain(B),c(c(A))) collapsed.
% 67.31/67.45  Current number of equations to process: 4353
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 690
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1544]
% 67.31/67.45  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(C,X0))
% 67.31/67.45  -> zero
% 67.31/67.45  Rule
% 67.31/67.45  [1210]
% 67.31/67.45  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 67.31/67.45                                                             c(C),X0)) -> zero
% 67.31/67.45  collapsed.
% 67.31/67.45  Current number of equations to process: 4352
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 690
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1545]
% 67.31/67.45  multiplication(multiplication(c(multiplication(A,B)),A),multiplication(B,C))
% 67.31/67.45  -> zero
% 67.31/67.45  Current number of equations to process: 4350
% 67.31/67.45  Current number of ordered equations: 1
% 67.31/67.45  Current number of rules: 691
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1546]
% 67.31/67.45  multiplication(multiplication(A,c(B)),multiplication(multiplication(B,C),X0))
% 67.31/67.45  -> zero
% 67.31/67.45  Rule
% 67.31/67.45  [1211]
% 67.31/67.45  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 67.31/67.45                                                          c(B),C),X0)) -> zero
% 67.31/67.45  collapsed.
% 67.31/67.45  Current number of equations to process: 4350
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 691
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1547]
% 67.31/67.45  multiplication(A,multiplication(codomain(B),coantidomain(C))) addition A -> A
% 67.31/67.45  Current number of equations to process: 4473
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 692
% 67.31/67.45  New rule produced :
% 67.31/67.45  [1548]
% 67.31/67.45  multiplication(multiplication(codomain(B),coantidomain(C)),A) addition A -> A
% 67.31/67.45  Current number of equations to process: 4472
% 67.31/67.45  Current number of ordered equations: 0
% 67.31/67.45  Current number of rules: 693
% 67.31/67.45  Rule [1086]
% 67.31/67.45       c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 67.31/67.45       coantidomain(B) addition multiplication(codomain(B),c(A)) is composed into 
% 67.31/67.45  [1086]
% 67.31/67.45  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 67.31/67.45  c(A) addition coantidomain(B)
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1549]
% 67.39/67.57  coantidomain(A) addition multiplication(codomain(A),c(B)) ->
% 67.39/67.57  c(B) addition coantidomain(A)
% 67.39/67.57  Rule
% 67.39/67.57  [1078]
% 67.39/67.57  coantidomain(A) addition multiplication(codomain(A),c(c(B))) ->
% 67.39/67.57  c(c(B)) addition coantidomain(A) collapsed.
% 67.39/67.57  Current number of equations to process: 4750
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 693
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1550]
% 67.39/67.57  coantidomain(A) addition multiplication(c(B),codomain(A)) ->
% 67.39/67.57  c(B) addition coantidomain(A)
% 67.39/67.57  Rule
% 67.39/67.57  [1080]
% 67.39/67.57  coantidomain(A) addition multiplication(c(c(B)),codomain(A)) ->
% 67.39/67.57  c(c(B)) addition coantidomain(A) collapsed.
% 67.39/67.57  Current number of equations to process: 4749
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 693
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1551]
% 67.39/67.57  c(forward_diamond(multiplication(A,coantidomain(B)),codomain(B))) -> one
% 67.39/67.57  Current number of equations to process: 4747
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 694
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1552]
% 67.39/67.57  c(forward_diamond(coantidomain(A),multiplication(codomain(A),B))) -> one
% 67.39/67.57  Rule
% 67.39/67.57  [1477]
% 67.39/67.57  c(forward_diamond(coantidomain(A),multiplication(codomain(A),c(c(B))))) ->
% 67.39/67.57  one collapsed.
% 67.39/67.57  Current number of equations to process: 4746
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 694
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1553]
% 67.39/67.57  forward_diamond(c(forward_diamond(A,c(B))),multiplication(A,c(B))) -> zero
% 67.39/67.57  Current number of equations to process: 4744
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 695
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1554]
% 67.39/67.57  leq(multiplication(A,multiplication(B,c(C))),multiplication(A,B)) -> true
% 67.39/67.57  Current number of equations to process: 4743
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 696
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1555] leq(multiplication(forward_diamond(A,B),c(C)),one addition X0) -> true
% 67.39/67.57  Current number of equations to process: 4742
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 697
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1556]
% 67.39/67.57  leq(multiplication(backward_diamond(A,B),c(C)),one addition X0) -> true
% 67.39/67.57  Current number of equations to process: 4741
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 698
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1557]
% 67.39/67.57  multiplication(c(codomain(A)),multiplication(coantidomain(A),B)) ->
% 67.39/67.57  multiplication(c(codomain(A)),B)
% 67.39/67.57  Current number of equations to process: 4740
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 699
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1558]
% 67.39/67.57  multiplication(c(coantidomain(A)),multiplication(codomain(A),B)) ->
% 67.39/67.57  multiplication(c(coantidomain(A)),B)
% 67.39/67.57  Current number of equations to process: 4739
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 700
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1559]
% 67.39/67.57  multiplication(multiplication(c(coantidomain(A)),B),coantidomain(backward_diamond(B,A)))
% 67.39/67.57  -> zero
% 67.39/67.57  Current number of equations to process: 4738
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 701
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1560]
% 67.39/67.57  leq(multiplication(multiplication(c(A),B),C),multiplication(B,C)) -> true
% 67.39/67.57  Current number of equations to process: 4737
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 702
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1561] leq(multiplication(c(A),forward_diamond(B,C)),one addition X0) -> true
% 67.39/67.57  Current number of equations to process: 4736
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 703
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1562]
% 67.39/67.57  leq(multiplication(c(A),backward_diamond(B,C)),one addition X0) -> true
% 67.39/67.57  Current number of equations to process: 4735
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 704
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1563] leq(c(A) addition B,codomain(c(A)) addition B) -> true
% 67.39/67.57  Current number of equations to process: 4734
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 705
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1564] leq(c(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 67.39/67.57  Current number of equations to process: 4733
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 706
% 67.39/67.57  New rule produced :
% 67.39/67.57  [1565] leq(c(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 67.39/67.57  Current number of equations to process: 4732
% 67.39/67.57  Current number of ordered equations: 0
% 67.39/67.57  Current number of rules: 707
% 67.39/67.57  New rule produced :
% 67.53/67.69  [1566]
% 67.53/67.69  forward_diamond(multiplication(c(B),c(C)) addition A,B) ->
% 67.53/67.69  forward_diamond(A,B)
% 67.53/67.69  Current number of equations to process: 4731
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 708
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1567]
% 67.53/67.69  multiplication(c(coantidomain(A) addition B),codomain(A)) ->
% 67.53/67.69  c(coantidomain(A) addition B)
% 67.53/67.69  Current number of equations to process: 4729
% 67.53/67.69  Current number of ordered equations: 1
% 67.53/67.69  Current number of rules: 709
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1568]
% 67.53/67.69  multiplication(c(codomain(A) addition B),coantidomain(A)) ->
% 67.53/67.69  c(codomain(A) addition B)
% 67.53/67.69  Current number of equations to process: 4729
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 710
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1569]
% 67.53/67.69  multiplication(multiplication(A,c(B addition C)),multiplication(B,X0)) ->
% 67.53/67.69  zero
% 67.53/67.69  Current number of equations to process: 4728
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 711
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1570]
% 67.53/67.69  multiplication(c(A addition B),multiplication(multiplication(A,C),X0)) ->
% 67.53/67.69  zero
% 67.53/67.69  Current number of equations to process: 4727
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 712
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1571] c(A) addition codomain(c(A) addition B) -> codomain(c(A) addition B)
% 67.53/67.69  Current number of equations to process: 4726
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 713
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1572]
% 67.53/67.69  multiplication(c(forward_diamond(A,c(B))),multiplication(A,c(B))) -> zero
% 67.53/67.69  Current number of equations to process: 4725
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 714
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1573]
% 67.53/67.69  c(forward_diamond(multiplication(A,coantidomain(B)),multiplication(codomain(B),
% 67.53/67.69                                                      c(c(C))))) -> one
% 67.53/67.69  Current number of equations to process: 4724
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 715
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1574]
% 67.53/67.69  c(forward_diamond(coantidomain(A),multiplication(multiplication(codomain(A),B),
% 67.53/67.69                                    c(c(C))))) -> one
% 67.53/67.69  Current number of equations to process: 4723
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 716
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1575]
% 67.53/67.69  multiplication(c(coantidomain(backward_diamond(A,B))),coantidomain(multiplication(B,A)))
% 67.53/67.69  -> zero
% 67.53/67.69  Current number of equations to process: 4722
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 717
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1576]
% 67.53/67.69  c(forward_diamond(multiplication(A,codomain(B)),multiplication(coantidomain(B),
% 67.53/67.69                                                  c(c(C))))) -> one
% 67.53/67.69  Current number of equations to process: 4721
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 718
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1577]
% 67.53/67.69  c(forward_diamond(codomain(A),multiplication(multiplication(coantidomain(A),B),
% 67.53/67.69                                c(c(C))))) -> one
% 67.53/67.69  Current number of equations to process: 4720
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 719
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1578]
% 67.53/67.69  codomain(c(A)) addition coantidomain(backward_diamond(c(A),c(A))) -> one
% 67.53/67.69  Current number of equations to process: 4719
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 720
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1579]
% 67.53/67.69  leq(coantidomain(c(A)),coantidomain(backward_diamond(c(A),c(A)))) -> true
% 67.53/67.69  Current number of equations to process: 4718
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 721
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1580]
% 67.53/67.69  coantidomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 67.53/67.69  coantidomain(backward_diamond(multiplication(B,C),coantidomain(A)))
% 67.53/67.69  Current number of equations to process: 4717
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 722
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1581]
% 67.53/67.69  multiplication(multiplication(A,codomain(B)),forward_diamond(C,X0)) addition A
% 67.53/67.69  -> A
% 67.53/67.69  Current number of equations to process: 4715
% 67.53/67.69  Current number of ordered equations: 1
% 67.53/67.69  Current number of rules: 723
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1582]
% 67.53/67.69  multiplication(multiplication(A,coantidomain(B)),forward_diamond(C,X0)) addition A
% 67.53/67.69  -> A
% 67.53/67.69  Current number of equations to process: 4715
% 67.53/67.69  Current number of ordered equations: 0
% 67.53/67.69  Current number of rules: 724
% 67.53/67.69  New rule produced :
% 67.53/67.69  [1583]
% 67.53/67.69  multiplication(multiplication(codomain(A),B),forward_diamond(C,X0)) addition B
% 67.69/67.82  -> B
% 67.69/67.82  Current number of equations to process: 4713
% 67.69/67.82  Current number of ordered equations: 1
% 67.69/67.82  Current number of rules: 725
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1584]
% 67.69/67.82  multiplication(multiplication(coantidomain(A),B),forward_diamond(C,X0)) addition B
% 67.69/67.82  -> B
% 67.69/67.82  Current number of equations to process: 4713
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 726
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1585]
% 67.69/67.82  multiplication(multiplication(A,forward_diamond(B,C)),c(X0)) addition A -> A
% 67.69/67.82  Current number of equations to process: 4711
% 67.69/67.82  Current number of ordered equations: 1
% 67.69/67.82  Current number of rules: 727
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1586]
% 67.69/67.82  multiplication(multiplication(A,c(B)),forward_diamond(C,X0)) addition A -> A
% 67.69/67.82  Current number of equations to process: 4711
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 728
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1587]
% 67.69/67.82  multiplication(c(B),multiplication(A,forward_diamond(C,X0))) addition A -> A
% 67.69/67.82  Current number of equations to process: 4709
% 67.69/67.82  Current number of ordered equations: 1
% 67.69/67.82  Current number of rules: 729
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1588]
% 67.69/67.82  multiplication(multiplication(c(A),B),forward_diamond(C,X0)) addition B -> B
% 67.69/67.82  Current number of equations to process: 4709
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 730
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1589]
% 67.69/67.82  multiplication(multiplication(A,forward_diamond(B,C)),codomain(X0)) addition A
% 67.69/67.82  -> A
% 67.69/67.82  Current number of equations to process: 4707
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 731
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1590]
% 67.69/67.82  multiplication(codomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 67.69/67.82  -> A
% 67.69/67.82  Current number of equations to process: 4705
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 732
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1591]
% 67.69/67.82  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)) addition A
% 67.69/67.82  -> A
% 67.69/67.82  Current number of equations to process: 4703
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 733
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1592]
% 67.69/67.82  multiplication(coantidomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 67.69/67.82  -> A
% 67.69/67.82  Current number of equations to process: 4701
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 734
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1593]
% 67.69/67.82  leq(multiplication(multiplication(A,forward_diamond(B,C)),c(X0)),A) -> true
% 67.69/67.82  Current number of equations to process: 4699
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 735
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1594]
% 67.69/67.82  leq(multiplication(multiplication(A,forward_diamond(B,C)),codomain(X0)),A) ->
% 67.69/67.82  true
% 67.69/67.82  Current number of equations to process: 4698
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 736
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1595]
% 67.69/67.82  leq(multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)),A)
% 67.69/67.82  -> true
% 67.69/67.82  Current number of equations to process: 4697
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 737
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1596]
% 67.69/67.82  leq(multiplication(c(A),multiplication(B,forward_diamond(C,X0))),B) -> true
% 67.69/67.82  Current number of equations to process: 4696
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 738
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1597]
% 67.69/67.82  leq(multiplication(codomain(A),multiplication(B,forward_diamond(C,X0))),B) ->
% 67.69/67.82  true
% 67.69/67.82  Current number of equations to process: 4695
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 739
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1598]
% 67.69/67.82  leq(multiplication(coantidomain(A),multiplication(B,forward_diamond(C,X0))),B)
% 67.69/67.82  -> true
% 67.69/67.82  Current number of equations to process: 4694
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 740
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1599]
% 67.69/67.82  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A addition X0))
% 67.69/67.82  -> zero
% 67.69/67.82  Current number of equations to process: 4693
% 67.69/67.82  Current number of ordered equations: 0
% 67.69/67.82  Current number of rules: 741
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1600]
% 67.69/67.82  multiplication(forward_diamond(A,B),multiplication(C,codomain(X0))) addition C
% 67.69/67.82  -> C
% 67.69/67.82  Current number of equations to process: 4691
% 67.69/67.82  Current number of ordered equations: 1
% 67.69/67.82  Current number of rules: 742
% 67.69/67.82  New rule produced :
% 67.69/67.82  [1601]
% 67.69/67.82  multiplication(forward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 67.69/67.82  -> C
% 67.69/67.82  Current number of equations to process: 4691
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 743
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1602]
% 67.83/67.98  multiplication(forward_diamond(A,B),multiplication(codomain(C),X0)) addition X0
% 67.83/67.98  -> X0
% 67.83/67.98  Current number of equations to process: 4689
% 67.83/67.98  Current number of ordered equations: 1
% 67.83/67.98  Current number of rules: 744
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1603]
% 67.83/67.98  multiplication(forward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 67.83/67.98  -> X0
% 67.83/67.98  Current number of equations to process: 4689
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 745
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1604]
% 67.83/67.98  multiplication(forward_diamond(A,B),multiplication(C,c(X0))) addition C -> C
% 67.83/67.98  Current number of equations to process: 4687
% 67.83/67.98  Current number of ordered equations: 1
% 67.83/67.98  Current number of rules: 746
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1605]
% 67.83/67.98  multiplication(multiplication(forward_diamond(B,C),A),c(X0)) addition A -> A
% 67.83/67.98  Current number of equations to process: 4687
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 747
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1606]
% 67.83/67.98  multiplication(forward_diamond(A,B),multiplication(c(C),X0)) addition X0 ->
% 67.83/67.98  X0
% 67.83/67.98  Current number of equations to process: 4685
% 67.83/67.98  Current number of ordered equations: 1
% 67.83/67.98  Current number of rules: 748
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1607]
% 67.83/67.98  multiplication(c(B),multiplication(forward_diamond(C,X0),A)) addition A -> A
% 67.83/67.98  Current number of equations to process: 4685
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 749
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1608]
% 67.83/67.98  multiplication(multiplication(forward_diamond(B,C),A),codomain(X0)) addition A
% 67.83/67.98  -> A
% 67.83/67.98  Current number of equations to process: 4683
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 750
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1609]
% 67.83/67.98  multiplication(codomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 67.83/67.98  -> A
% 67.83/67.98  Current number of equations to process: 4681
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 751
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1610]
% 67.83/67.98  multiplication(multiplication(forward_diamond(B,C),A),coantidomain(X0)) addition A
% 67.83/67.98  -> A
% 67.83/67.98  Current number of equations to process: 4679
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 752
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1611]
% 67.83/67.98  multiplication(coantidomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 67.83/67.98  -> A
% 67.83/67.98  Current number of equations to process: 4677
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 753
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1612]
% 67.83/67.98  leq(multiplication(multiplication(forward_diamond(A,B),C),c(X0)),C) -> true
% 67.83/67.98  Current number of equations to process: 4676
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 754
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1613]
% 67.83/67.98  leq(multiplication(multiplication(forward_diamond(A,B),C),codomain(X0)),C) ->
% 67.83/67.98  true
% 67.83/67.98  Current number of equations to process: 4675
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 755
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1614]
% 67.83/67.98  leq(multiplication(multiplication(forward_diamond(A,B),C),coantidomain(X0)),C)
% 67.83/67.98  -> true
% 67.83/67.98  Current number of equations to process: 4674
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 756
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1615]
% 67.83/67.98  leq(multiplication(c(A),multiplication(forward_diamond(B,C),X0)),X0) -> true
% 67.83/67.98  Current number of equations to process: 4673
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 757
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1616]
% 67.83/67.98  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 67.83/67.98  -> true
% 67.83/67.98  Current number of equations to process: 4672
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 758
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1617]
% 67.83/67.98  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 67.83/67.98  -> true
% 67.83/67.98  Current number of equations to process: 4671
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 759
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1618]
% 67.83/67.98  multiplication(c(A addition B),multiplication(forward_diamond(C,X0),A)) ->
% 67.83/67.98  zero
% 67.83/67.98  Current number of equations to process: 4670
% 67.83/67.98  Current number of ordered equations: 0
% 67.83/67.98  Current number of rules: 760
% 67.83/67.98  New rule produced :
% 67.83/67.98  [1619]
% 67.83/67.98  multiplication(multiplication(A,codomain(B)),backward_diamond(C,X0)) addition A
% 67.83/67.98  -> A
% 67.83/67.98  Current number of equations to process: 4653
% 67.83/67.98  Current number of ordered equations: 1
% 67.83/67.98  Current number of rules: 761
% 67.83/67.98  New rule produced :
% 68.01/68.13  [1620]
% 68.01/68.13  multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)) addition A
% 68.01/68.13  -> A
% 68.01/68.13  Current number of equations to process: 4653
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 762
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1621]
% 68.01/68.13  multiplication(multiplication(codomain(A),B),backward_diamond(C,X0)) addition B
% 68.01/68.13  -> B
% 68.01/68.13  Current number of equations to process: 4651
% 68.01/68.13  Current number of ordered equations: 1
% 68.01/68.13  Current number of rules: 763
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1622]
% 68.01/68.13  multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)) addition B
% 68.01/68.13  -> B
% 68.01/68.13  Current number of equations to process: 4651
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 764
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1623]
% 68.01/68.13  multiplication(multiplication(A,backward_diamond(B,C)),codomain(X0)) addition A
% 68.01/68.13  -> A
% 68.01/68.13  Current number of equations to process: 4649
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 765
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1624]
% 68.01/68.13  multiplication(codomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 68.01/68.13  -> A
% 68.01/68.13  Current number of equations to process: 4647
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 766
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1625]
% 68.01/68.13  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)) addition A
% 68.01/68.13  -> A
% 68.01/68.13  Current number of equations to process: 4645
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 767
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1626]
% 68.01/68.13  multiplication(coantidomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 68.01/68.13  -> A
% 68.01/68.13  Current number of equations to process: 4643
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 768
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1627]
% 68.01/68.13  leq(multiplication(multiplication(A,backward_diamond(B,C)),codomain(X0)),A)
% 68.01/68.13  -> true
% 68.01/68.13  Current number of equations to process: 4642
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 769
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1628]
% 68.01/68.13  leq(multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)),A)
% 68.01/68.13  -> true
% 68.01/68.13  Current number of equations to process: 4641
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 770
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1629]
% 68.01/68.13  leq(multiplication(codomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 68.01/68.13  -> true
% 68.01/68.13  Current number of equations to process: 4640
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 771
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1630]
% 68.01/68.13  leq(multiplication(coantidomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 68.01/68.13  -> true
% 68.01/68.13  Current number of equations to process: 4639
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 772
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1631]
% 68.01/68.13  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A addition X0))
% 68.01/68.13  -> zero
% 68.01/68.13  Current number of equations to process: 4638
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 773
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1632]
% 68.01/68.13  multiplication(multiplication(A,backward_diamond(B,C)),c(X0)) addition A -> A
% 68.01/68.13  Current number of equations to process: 4636
% 68.01/68.13  Current number of ordered equations: 1
% 68.01/68.13  Current number of rules: 774
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1633]
% 68.01/68.13  multiplication(multiplication(A,c(B)),backward_diamond(C,X0)) addition A -> A
% 68.01/68.13  Current number of equations to process: 4636
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 775
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1634]
% 68.01/68.13  multiplication(multiplication(c(A),B),backward_diamond(C,X0)) addition B -> B
% 68.01/68.13  Current number of equations to process: 4634
% 68.01/68.13  Current number of ordered equations: 1
% 68.01/68.13  Current number of rules: 776
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1635]
% 68.01/68.13  multiplication(c(B),multiplication(A,backward_diamond(C,X0))) addition A -> A
% 68.01/68.13  Current number of equations to process: 4634
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 777
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1636]
% 68.01/68.13  multiplication(backward_diamond(A,B),multiplication(C,codomain(X0))) addition C
% 68.01/68.13  -> C
% 68.01/68.13  Current number of equations to process: 4632
% 68.01/68.13  Current number of ordered equations: 1
% 68.01/68.13  Current number of rules: 778
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1637]
% 68.01/68.13  multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 68.01/68.13  -> C
% 68.01/68.13  Current number of equations to process: 4632
% 68.01/68.13  Current number of ordered equations: 0
% 68.01/68.13  Current number of rules: 779
% 68.01/68.13  New rule produced :
% 68.01/68.13  [1638]
% 68.01/68.13  multiplication(backward_diamond(A,B),multiplication(codomain(C),X0)) addition X0
% 68.13/68.27  -> X0
% 68.13/68.27  Current number of equations to process: 4630
% 68.13/68.27  Current number of ordered equations: 1
% 68.13/68.27  Current number of rules: 780
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1639]
% 68.13/68.27  multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 68.13/68.27  -> X0
% 68.13/68.27  Current number of equations to process: 4630
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 781
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1640]
% 68.13/68.27  multiplication(multiplication(backward_diamond(B,C),A),codomain(X0)) addition A
% 68.13/68.27  -> A
% 68.13/68.27  Current number of equations to process: 4628
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 782
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1641]
% 68.13/68.27  multiplication(codomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 68.13/68.27  -> A
% 68.13/68.27  Current number of equations to process: 4626
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 783
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1642]
% 68.13/68.27  multiplication(multiplication(backward_diamond(B,C),A),coantidomain(X0)) addition A
% 68.13/68.27  -> A
% 68.13/68.27  Current number of equations to process: 4624
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 784
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1643]
% 68.13/68.27  multiplication(coantidomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 68.13/68.27  -> A
% 68.13/68.27  Current number of equations to process: 4622
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 785
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1644]
% 68.13/68.27  leq(multiplication(multiplication(backward_diamond(A,B),C),codomain(X0)),C)
% 68.13/68.27  -> true
% 68.13/68.27  Current number of equations to process: 4621
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 786
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1645]
% 68.13/68.27  leq(multiplication(multiplication(backward_diamond(A,B),C),coantidomain(X0)),C)
% 68.13/68.27  -> true
% 68.13/68.27  Current number of equations to process: 4620
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 787
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1646]
% 68.13/68.27  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 68.13/68.27  -> true
% 68.13/68.27  Current number of equations to process: 4619
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 788
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1647]
% 68.13/68.27  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 68.13/68.27  -> true
% 68.13/68.27  Current number of equations to process: 4618
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 789
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1648]
% 68.13/68.27  multiplication(backward_diamond(A,B),multiplication(C,c(X0))) addition C -> C
% 68.13/68.27  Current number of equations to process: 4616
% 68.13/68.27  Current number of ordered equations: 1
% 68.13/68.27  Current number of rules: 790
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1649]
% 68.13/68.27  multiplication(multiplication(backward_diamond(B,C),A),c(X0)) addition A -> A
% 68.13/68.27  Current number of equations to process: 4616
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 791
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1650]
% 68.13/68.27  multiplication(backward_diamond(A,B),multiplication(c(C),X0)) addition X0 ->
% 68.13/68.27  X0
% 68.13/68.27  Current number of equations to process: 4614
% 68.13/68.27  Current number of ordered equations: 1
% 68.13/68.27  Current number of rules: 792
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1651]
% 68.13/68.27  multiplication(c(B),multiplication(backward_diamond(C,X0),A)) addition A -> A
% 68.13/68.27  Current number of equations to process: 4614
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 793
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1652]
% 68.13/68.27  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 68.13/68.27               codomain(C)) -> one
% 68.13/68.27  Current number of equations to process: 4613
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 794
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1653]
% 68.13/68.27  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 68.13/68.27                                          codomain(C))) -> one
% 68.13/68.27  Current number of equations to process: 4612
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 795
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1654]
% 68.13/68.27  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 68.13/68.27               coantidomain(C)) -> one
% 68.13/68.27  Current number of equations to process: 4611
% 68.13/68.27  Current number of ordered equations: 0
% 68.13/68.27  Current number of rules: 796
% 68.13/68.27  New rule produced :
% 68.13/68.27  [1655]
% 68.13/68.27  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 68.13/68.27                                              codomain(C))) -> one
% 68.13/68.27  Current number of equations to process: 4610
% 68.13/68.27  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 797
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1656]
% 68.42/68.53  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),one) ->
% 68.42/68.53  true
% 68.42/68.53  Current number of equations to process: 4609
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 798
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1657]
% 68.42/68.53  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),one)
% 68.42/68.53  -> true
% 68.42/68.53  Current number of equations to process: 4608
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 799
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1658]
% 68.42/68.53  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one) -> true
% 68.42/68.53  Current number of equations to process: 4607
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 800
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1659]
% 68.42/68.53  leq(multiplication(multiplication(coantidomain(A),codomain(B)),codomain(C)),one)
% 68.42/68.53  -> true
% 68.42/68.53  Current number of equations to process: 4606
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 801
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1660]
% 68.42/68.53  leq(multiplication(multiplication(coantidomain(A),codomain(B)),coantidomain(C)),one)
% 68.42/68.53  -> true
% 68.42/68.53  Current number of equations to process: 4605
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 802
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1661]
% 68.42/68.53  leq(multiplication(codomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 68.42/68.53  -> true
% 68.42/68.53  Current number of equations to process: 4604
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 803
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1662]
% 68.42/68.53  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 68.42/68.53  -> true
% 68.42/68.53  Current number of equations to process: 4603
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 804
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1663]
% 68.42/68.53  one addition multiplication(multiplication(coantidomain(A),codomain(B)),c(C))
% 68.42/68.53  -> one
% 68.42/68.53  Current number of equations to process: 4600
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 805
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1664]
% 68.42/68.53  one addition multiplication(c(A),multiplication(coantidomain(B),codomain(C)))
% 68.42/68.53  -> one
% 68.42/68.53  Current number of equations to process: 4599
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 806
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1665]
% 68.42/68.53  one addition multiplication(multiplication(codomain(A),codomain(B)),codomain(C))
% 68.42/68.53  -> one
% 68.42/68.53  Current number of equations to process: 4598
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 807
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1666]
% 68.42/68.53  one addition multiplication(codomain(A),multiplication(codomain(B),codomain(C)))
% 68.42/68.53  -> one
% 68.42/68.53  Current number of equations to process: 4597
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 808
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1667]
% 68.42/68.53  one addition multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C))
% 68.42/68.53  -> one
% 68.42/68.53  Current number of equations to process: 4596
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 809
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1668]
% 68.42/68.53  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 68.42/68.53                                              codomain(C))) -> one
% 68.42/68.53  Current number of equations to process: 4595
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 810
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1669]
% 68.42/68.53  leq(codomain(A) addition multiplication(codomain(B),codomain(C)),one) -> true
% 68.42/68.53  Current number of equations to process: 4594
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 811
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1670]
% 68.42/68.53  leq(coantidomain(A) addition multiplication(codomain(B),codomain(C)),one) ->
% 68.42/68.53  true
% 68.42/68.53  Current number of equations to process: 4593
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 812
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1671] leq(c(A) addition multiplication(codomain(B),codomain(C)),one) -> true
% 68.42/68.53  Current number of equations to process: 4592
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 813
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1672]
% 68.42/68.53  leq(multiplication(multiplication(codomain(A),codomain(B)),codomain(C)),one)
% 68.42/68.53  -> true
% 68.42/68.53  Current number of equations to process: 4591
% 68.42/68.53  Current number of ordered equations: 0
% 68.42/68.53  Current number of rules: 814
% 68.42/68.53  New rule produced :
% 68.42/68.53  [1673]
% 68.42/68.53  leq(multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C)),one)
% 68.42/68.53  -> true
% 68.42/68.53  Current number of equations to process: 4590
% 68.42/68.53  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 815
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1674]
% 68.73/68.85  leq(multiplication(codomain(A),multiplication(codomain(B),codomain(C))),one)
% 68.73/68.85  -> true
% 68.73/68.85  Current number of equations to process: 4589
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 816
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1675]
% 68.73/68.85  leq(multiplication(coantidomain(A),multiplication(codomain(B),codomain(C))),one)
% 68.73/68.85  -> true
% 68.73/68.85  Current number of equations to process: 4588
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 817
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1676]
% 68.73/68.85  one addition multiplication(multiplication(codomain(A),codomain(B)),c(C)) ->
% 68.73/68.85  one
% 68.73/68.85  Current number of equations to process: 4585
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 818
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1677]
% 68.73/68.85  one addition multiplication(c(A),multiplication(codomain(B),codomain(C))) ->
% 68.73/68.85  one
% 68.73/68.85  Current number of equations to process: 4584
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 819
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1678]
% 68.73/68.85  one addition multiplication(multiplication(c(A),codomain(B)),codomain(C)) ->
% 68.73/68.85  one
% 68.73/68.85  Current number of equations to process: 4583
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 820
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1679]
% 68.73/68.85  one addition multiplication(codomain(A),multiplication(c(B),codomain(C))) ->
% 68.73/68.85  one
% 68.73/68.85  Current number of equations to process: 4582
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 821
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1680]
% 68.73/68.85  one addition multiplication(multiplication(c(A),codomain(B)),coantidomain(C))
% 68.73/68.85  -> one
% 68.73/68.85  Current number of equations to process: 4581
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 822
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1681]
% 68.73/68.85  one addition multiplication(coantidomain(A),multiplication(c(B),codomain(C)))
% 68.73/68.85  -> one
% 68.73/68.85  Current number of equations to process: 4580
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 823
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1682] leq(codomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 68.73/68.85  Current number of equations to process: 4579
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 824
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1683]
% 68.73/68.85  leq(coantidomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 68.73/68.85  Current number of equations to process: 4578
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 825
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1684] leq(c(A) addition multiplication(c(B),codomain(C)),one) -> true
% 68.73/68.85  Current number of equations to process: 4577
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 826
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1685]
% 68.73/68.85  leq(multiplication(multiplication(c(A),codomain(B)),codomain(C)),one) -> true
% 68.73/68.85  Current number of equations to process: 4576
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 827
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1686]
% 68.73/68.85  leq(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),one) ->
% 68.73/68.85  true
% 68.73/68.85  Current number of equations to process: 4575
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 828
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1687]
% 68.73/68.85  leq(multiplication(codomain(A),multiplication(c(B),codomain(C))),one) -> true
% 68.73/68.85  Current number of equations to process: 4574
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 829
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1688]
% 68.73/68.85  leq(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),one) ->
% 68.73/68.85  true
% 68.73/68.85  Current number of equations to process: 4573
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 830
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1689]
% 68.73/68.85  one addition multiplication(multiplication(c(A),codomain(B)),c(C)) -> one
% 68.73/68.85  Current number of equations to process: 4570
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 831
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1690]
% 68.73/68.85  one addition multiplication(c(A),multiplication(c(B),codomain(C))) -> one
% 68.73/68.85  Current number of equations to process: 4569
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 832
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1691]
% 68.73/68.85  multiplication(A,multiplication(forward_diamond(B,C),codomain(X0))) addition A
% 68.73/68.85  -> A
% 68.73/68.85  Current number of equations to process: 4568
% 68.73/68.85  Current number of ordered equations: 0
% 68.73/68.85  Current number of rules: 833
% 68.73/68.85  New rule produced :
% 68.73/68.85  [1692]
% 68.73/68.85  multiplication(multiplication(forward_diamond(B,C),codomain(X0)),A) addition A
% 70.64/70.73  -> A
% 70.64/70.73  Current number of equations to process: 4567
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 834
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1693]
% 70.64/70.73  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 70.64/70.73               codomain(C)) -> one
% 70.64/70.73  Current number of equations to process: 4566
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 835
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1694]
% 70.64/70.73  one addition multiplication(codomain(A),multiplication(codomain(B),coantidomain(C)))
% 70.64/70.73  -> one
% 70.64/70.73  Current number of equations to process: 4565
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 836
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1695]
% 70.64/70.73  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 70.64/70.73               coantidomain(C)) -> one
% 70.64/70.73  Current number of equations to process: 4564
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 837
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1696]
% 70.64/70.73  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 70.64/70.73                                              coantidomain(C))) -> one
% 70.64/70.73  Current number of equations to process: 4563
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 838
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1697]
% 70.64/70.73  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),one) ->
% 70.64/70.73  true
% 70.64/70.73  Current number of equations to process: 4562
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 839
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1698]
% 70.64/70.73  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),one)
% 70.64/70.73  -> true
% 70.64/70.73  Current number of equations to process: 4561
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 840
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1699]
% 70.64/70.73  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one) -> true
% 70.64/70.73  Current number of equations to process: 4560
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 841
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1700]
% 70.64/70.73  leq(multiplication(multiplication(codomain(A),coantidomain(B)),codomain(C)),one)
% 70.64/70.73  -> true
% 70.64/70.73  Current number of equations to process: 4559
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 842
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1701]
% 70.64/70.73  leq(multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(C)),one)
% 70.64/70.73  -> true
% 70.64/70.73  Current number of equations to process: 4558
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 843
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1702]
% 70.64/70.73  leq(multiplication(codomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 70.64/70.73  -> true
% 70.64/70.73  Current number of equations to process: 4557
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 844
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1703]
% 70.64/70.73  leq(multiplication(coantidomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 70.64/70.73  -> true
% 70.64/70.73  Current number of equations to process: 4556
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 845
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1704]
% 70.64/70.73  one addition multiplication(multiplication(codomain(A),coantidomain(B)),c(C))
% 70.64/70.73  -> one
% 70.64/70.73  Current number of equations to process: 4553
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 846
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1705]
% 70.64/70.73  one addition multiplication(c(A),multiplication(codomain(B),coantidomain(C)))
% 70.64/70.73  -> one
% 70.64/70.73  Current number of equations to process: 4552
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 847
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1706]
% 70.64/70.73  multiplication(A,multiplication(backward_diamond(B,C),codomain(X0))) addition A
% 70.64/70.73  -> A
% 70.64/70.73  Current number of equations to process: 4551
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 848
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1707]
% 70.64/70.73  multiplication(multiplication(backward_diamond(B,C),codomain(X0)),A) addition A
% 70.64/70.73  -> A
% 70.64/70.73  Current number of equations to process: 4550
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 849
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1708]
% 70.64/70.73  forward_diamond(multiplication(multiplication(c(A),codomain(B)),codomain(C)),A)
% 70.64/70.73  -> zero
% 70.64/70.73  Current number of equations to process: 4755
% 70.64/70.73  Current number of ordered equations: 0
% 70.64/70.73  Current number of rules: 850
% 70.64/70.73  New rule produced :
% 70.64/70.73  [1709]
% 70.64/70.73  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 70.64/70.73                                               coantidomain(A))) -> zero
% 70.64/70.73  Current number of equations to process: 4754
% 70.64/70.73  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 851
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1710]
% 78.53/78.60  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 78.53/78.60               codomain(C)) -> one
% 78.53/78.60  Current number of equations to process: 4753
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 852
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1711]
% 78.53/78.60  one addition multiplication(multiplication(c(A),coantidomain(B)),codomain(C))
% 78.53/78.60  -> one
% 78.53/78.60  Current number of equations to process: 4823
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 853
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1712]
% 78.53/78.60  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),A)
% 78.53/78.60  -> zero
% 78.53/78.60  Current number of equations to process: 4968
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 854
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1713]
% 78.53/78.60  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 78.53/78.60                                                   coantidomain(A))) -> zero
% 78.53/78.60  Current number of equations to process: 4967
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 855
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1714]
% 78.53/78.60  one addition multiplication(multiplication(codomain(A),c(B)),codomain(C)) ->
% 78.53/78.60  one
% 78.53/78.60  Current number of equations to process: 2768
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 856
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1715]
% 78.53/78.60  forward_diamond(multiplication(multiplication(codomain(A),c(B)),codomain(C)),B)
% 78.53/78.60  -> zero
% 78.53/78.60  Current number of equations to process: 2918
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 857
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1716]
% 78.53/78.60  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 78.53/78.60                                               coantidomain(B))) -> zero
% 78.53/78.60  Current number of equations to process: 2917
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 858
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1717]
% 78.53/78.60  one addition multiplication(multiplication(coantidomain(A),c(B)),codomain(C))
% 78.53/78.60  -> one
% 78.53/78.60  Current number of equations to process: 2987
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 859
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1718] multiplication(A,multiplication(codomain(B),c(C))) addition A -> A
% 78.53/78.60  Current number of equations to process: 3119
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 860
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1719] multiplication(multiplication(codomain(B),c(C)),A) addition A -> A
% 78.53/78.60  Current number of equations to process: 3118
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 861
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1720]
% 78.53/78.60  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),B)
% 78.53/78.60  -> zero
% 78.53/78.60  Current number of equations to process: 3524
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 862
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1721]
% 78.53/78.60  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 78.53/78.60                                                   coantidomain(B))) -> zero
% 78.53/78.60  Current number of equations to process: 3523
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 863
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1722]
% 78.53/78.60  one addition multiplication(codomain(A),multiplication(codomain(B),c(C))) ->
% 78.53/78.60  one
% 78.53/78.60  Current number of equations to process: 3522
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 864
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1723]
% 78.53/78.60  one addition multiplication(multiplication(codomain(A),c(B)),coantidomain(C))
% 78.53/78.60  -> one
% 78.53/78.60  Current number of equations to process: 3521
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 865
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1724]
% 78.53/78.60  one addition multiplication(coantidomain(A),multiplication(codomain(B),c(C)))
% 78.53/78.60  -> one
% 78.53/78.60  Current number of equations to process: 3520
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 866
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1725] leq(codomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 78.53/78.60  Current number of equations to process: 3519
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 867
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1726]
% 78.53/78.60  leq(coantidomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 78.53/78.60  Current number of equations to process: 3518
% 78.53/78.60  Current number of ordered equations: 0
% 78.53/78.60  Current number of rules: 868
% 78.53/78.60  New rule produced :
% 78.53/78.60  [1727] leq(c(A) addition multiplication(codomain(B),c(C)),one) -> true
% 86.13/86.29  Current number of equations to process: 3517
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 869
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1728]
% 86.13/86.29  leq(multiplication(multiplication(codomain(A),c(B)),codomain(C)),one) -> true
% 86.13/86.29  Current number of equations to process: 3516
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 870
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1729]
% 86.13/86.29  leq(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),one) ->
% 86.13/86.29  true
% 86.13/86.29  Current number of equations to process: 3515
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 871
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1730]
% 86.13/86.29  leq(multiplication(codomain(A),multiplication(codomain(B),c(C))),one) -> true
% 86.13/86.29  Current number of equations to process: 3514
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 872
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1731]
% 86.13/86.29  leq(multiplication(coantidomain(A),multiplication(codomain(B),c(C))),one) ->
% 86.13/86.29  true
% 86.13/86.29  Current number of equations to process: 3513
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 873
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1732]
% 86.13/86.29  one addition multiplication(multiplication(codomain(A),c(B)),c(C)) -> one
% 86.13/86.29  Current number of equations to process: 3510
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 874
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1733]
% 86.13/86.29  one addition multiplication(c(A),multiplication(codomain(B),c(C))) -> one
% 86.13/86.29  Current number of equations to process: 3509
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 875
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1734]
% 86.13/86.29  multiplication(A,multiplication(codomain(B),forward_diamond(C,X0))) addition A
% 86.13/86.29  -> A
% 86.13/86.29  Current number of equations to process: 3508
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 876
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1735]
% 86.13/86.29  multiplication(multiplication(codomain(B),forward_diamond(C,X0)),A) addition A
% 86.13/86.29  -> A
% 86.13/86.29  Current number of equations to process: 3507
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 877
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1736]
% 86.13/86.29  multiplication(A,multiplication(codomain(B),backward_diamond(C,X0))) addition A
% 86.13/86.29  -> A
% 86.13/86.29  Current number of equations to process: 3506
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 878
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1737]
% 86.13/86.29  multiplication(multiplication(codomain(B),backward_diamond(C,X0)),A) addition A
% 86.13/86.29  -> A
% 86.13/86.29  Current number of equations to process: 3505
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 879
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1738]
% 86.13/86.29  forward_diamond(multiplication(codomain(A),multiplication(c(B),codomain(C))),B)
% 86.13/86.29  -> zero
% 86.13/86.29  Current number of equations to process: 3739
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 880
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1739]
% 86.13/86.29  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 86.13/86.29                                          coantidomain(C))) -> one
% 86.13/86.29  Current number of equations to process: 3738
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 881
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1740]
% 86.13/86.29  one addition multiplication(codomain(A),multiplication(c(B),coantidomain(C)))
% 86.13/86.29  -> one
% 86.13/86.29  Current number of equations to process: 3808
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 882
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1741]
% 86.13/86.29  forward_diamond(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),B)
% 86.13/86.29  -> zero
% 86.13/86.29  Current number of equations to process: 3976
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 883
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1742]
% 86.13/86.29  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 86.13/86.29                                               coantidomain(B))) -> zero
% 86.13/86.29  Current number of equations to process: 3975
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 884
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1743]
% 86.13/86.29  one addition multiplication(codomain(A),multiplication(coantidomain(B),c(C)))
% 86.13/86.29  -> one
% 86.13/86.29  Current number of equations to process: 4283
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 885
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1744]
% 86.13/86.29  multiplication(A,multiplication(coantidomain(B),coantidomain(C))) addition A
% 86.13/86.29  -> A
% 86.13/86.29  Current number of equations to process: 4433
% 86.13/86.29  Current number of ordered equations: 0
% 86.13/86.29  Current number of rules: 886
% 86.13/86.29  New rule produced :
% 86.13/86.29  [1745]
% 86.13/86.29  multiplication(multiplication(coantidomain(B),coantidomain(C)),A) addition A
% 89.92/90.06  -> A
% 89.92/90.06  Current number of equations to process: 4432
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 887
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1746] multiplication(A,multiplication(c(B),coantidomain(C))) addition A -> A
% 89.92/90.06  Current number of equations to process: 4554
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 888
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1747] multiplication(multiplication(c(B),coantidomain(C)),A) addition A -> A
% 89.92/90.06  Current number of equations to process: 4553
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 889
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1748]
% 89.92/90.06  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 89.92/90.06               coantidomain(C)) -> one
% 89.92/90.06  Current number of equations to process: 4976
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 890
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1749]
% 89.92/90.06  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 89.92/90.06                                              coantidomain(C))) -> one
% 89.92/90.06  Current number of equations to process: 4975
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 891
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1750]
% 89.92/90.06  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 89.92/90.06  -> true
% 89.92/90.06  Current number of equations to process: 4974
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 892
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1751]
% 89.92/90.06  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 89.92/90.06  -> true
% 89.92/90.06  Current number of equations to process: 4973
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 893
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1752]
% 89.92/90.06  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one) ->
% 89.92/90.06  true
% 89.92/90.06  Current number of equations to process: 4972
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 894
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1753]
% 89.92/90.06  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),codomain(C)),one)
% 89.92/90.06  -> true
% 89.92/90.06  Current number of equations to process: 4971
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 895
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1754]
% 89.92/90.06  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),coantidomain(C)),one)
% 89.92/90.06  -> true
% 89.92/90.06  Current number of equations to process: 4970
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 896
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1755]
% 89.92/90.06  leq(multiplication(codomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 89.92/90.06  -> true
% 89.92/90.06  Current number of equations to process: 4969
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 897
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1756]
% 89.92/90.06  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 89.92/90.06  -> true
% 89.92/90.06  Current number of equations to process: 4968
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 898
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1757]
% 89.92/90.06  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 89.92/90.06               c(C)) -> one
% 89.92/90.06  Current number of equations to process: 4965
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 899
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1758]
% 89.92/90.06  one addition multiplication(c(A),multiplication(coantidomain(B),coantidomain(C)))
% 89.92/90.06  -> one
% 89.92/90.06  Current number of equations to process: 4964
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 900
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1759]
% 89.92/90.06  one addition multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C))
% 89.92/90.06  -> one
% 89.92/90.06  Current number of equations to process: 4963
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 901
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1760]
% 89.92/90.06  one addition multiplication(coantidomain(A),multiplication(c(B),coantidomain(C)))
% 89.92/90.06  -> one
% 89.92/90.06  Current number of equations to process: 4962
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 902
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1761]
% 89.92/90.06  leq(codomain(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 89.92/90.06  Current number of equations to process: 4961
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 903
% 89.92/90.06  New rule produced :
% 89.92/90.06  [1762]
% 89.92/90.06  leq(coantidomain(A) addition multiplication(c(B),coantidomain(C)),one) ->
% 89.92/90.06  true
% 89.92/90.06  Current number of equations to process: 4960
% 89.92/90.06  Current number of ordered equations: 0
% 89.92/90.06  Current number of rules: 904
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1763] leq(c(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 97.02/97.10  Current number of equations to process: 4959
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 905
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1764]
% 97.02/97.10  leq(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),one) ->
% 97.02/97.10  true
% 97.02/97.10  Current number of equations to process: 4958
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 906
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1765]
% 97.02/97.10  leq(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),one)
% 97.02/97.10  -> true
% 97.02/97.10  Current number of equations to process: 4957
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 907
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1766]
% 97.02/97.10  leq(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),one) ->
% 97.02/97.10  true
% 97.02/97.10  Current number of equations to process: 4956
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 908
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1767]
% 97.02/97.10  leq(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),one)
% 97.02/97.10  -> true
% 97.02/97.10  Current number of equations to process: 4955
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 909
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1768]
% 97.02/97.10  one addition multiplication(multiplication(c(A),coantidomain(B)),c(C)) -> one
% 97.02/97.10  Current number of equations to process: 4952
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 910
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1769]
% 97.02/97.10  one addition multiplication(c(A),multiplication(c(B),coantidomain(C))) -> one
% 97.02/97.10  Current number of equations to process: 4951
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 911
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1770]
% 97.02/97.10  multiplication(A,multiplication(forward_diamond(B,C),coantidomain(X0))) addition A
% 97.02/97.10  -> A
% 97.02/97.10  Current number of equations to process: 4950
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 912
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1771]
% 97.02/97.10  multiplication(multiplication(forward_diamond(B,C),coantidomain(X0)),A) addition A
% 97.02/97.10  -> A
% 97.02/97.10  Current number of equations to process: 4949
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 913
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1772]
% 97.02/97.10  multiplication(A,multiplication(backward_diamond(B,C),coantidomain(X0))) addition A
% 97.02/97.10  -> A
% 97.02/97.10  Current number of equations to process: 4948
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 914
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1773]
% 97.02/97.10  multiplication(multiplication(backward_diamond(B,C),coantidomain(X0)),A) addition A
% 97.02/97.10  -> A
% 97.02/97.10  Current number of equations to process: 4947
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 915
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1774]
% 97.02/97.10  forward_diamond(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),A)
% 97.02/97.10  -> zero
% 97.02/97.10  Current number of equations to process: 2251
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 916
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1775]
% 97.02/97.10  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 97.02/97.10                                               coantidomain(A))) -> zero
% 97.02/97.10  Current number of equations to process: 2250
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 917
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1776]
% 97.02/97.10  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),A)
% 97.02/97.10  -> zero
% 97.02/97.10  Current number of equations to process: 2508
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 918
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1777]
% 97.02/97.10  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 97.02/97.10                                                   coantidomain(A))) -> zero
% 97.02/97.10  Current number of equations to process: 2507
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 919
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1778]
% 97.02/97.10  one addition multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C))
% 97.02/97.10  -> one
% 97.02/97.10  Current number of equations to process: 2577
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 920
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1779]
% 97.02/97.10  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),B)
% 97.02/97.10  -> zero
% 97.02/97.10  Current number of equations to process: 2773
% 97.02/97.10  Current number of ordered equations: 0
% 97.02/97.10  Current number of rules: 921
% 97.02/97.10  New rule produced :
% 97.02/97.10  [1780]
% 97.02/97.10  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 105.22/105.38                                                   coantidomain(B))) -> zero
% 105.22/105.38  Current number of equations to process: 2772
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 922
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1781] multiplication(A,multiplication(coantidomain(B),c(C))) addition A -> A
% 105.22/105.38  Current number of equations to process: 3018
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 923
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1782] multiplication(multiplication(coantidomain(B),c(C)),A) addition A -> A
% 105.22/105.38  Current number of equations to process: 3017
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 924
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1783]
% 105.22/105.38  forward_diamond(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),B)
% 105.22/105.38  -> zero
% 105.22/105.38  Current number of equations to process: 3459
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 925
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1784]
% 105.22/105.38  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 105.22/105.38                                              c(C))) -> one
% 105.22/105.38  Current number of equations to process: 3458
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 926
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1785]
% 105.22/105.38  leq(codomain(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 105.22/105.38  Current number of equations to process: 3457
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 927
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1786]
% 105.22/105.38  leq(coantidomain(A) addition multiplication(coantidomain(B),c(C)),one) ->
% 105.22/105.38  true
% 105.22/105.38  Current number of equations to process: 3456
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 928
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1787] leq(c(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 105.22/105.38  Current number of equations to process: 3455
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 929
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1788]
% 105.22/105.38  leq(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),one) ->
% 105.22/105.38  true
% 105.22/105.38  Current number of equations to process: 3454
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 930
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1789]
% 105.22/105.38  leq(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),one)
% 105.22/105.38  -> true
% 105.22/105.38  Current number of equations to process: 3453
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 931
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1790]
% 105.22/105.38  leq(multiplication(codomain(A),multiplication(coantidomain(B),c(C))),one) ->
% 105.22/105.38  true
% 105.22/105.38  Current number of equations to process: 3452
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 932
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1791]
% 105.22/105.38  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),c(C))),one)
% 105.22/105.38  -> true
% 105.22/105.38  Current number of equations to process: 3451
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 933
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1792]
% 105.22/105.38  one addition multiplication(multiplication(coantidomain(A),c(B)),c(C)) -> one
% 105.22/105.38  Current number of equations to process: 3448
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 934
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1793]
% 105.22/105.38  one addition multiplication(c(A),multiplication(coantidomain(B),c(C))) -> one
% 105.22/105.38  Current number of equations to process: 3447
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 935
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1794]
% 105.22/105.38  multiplication(A,multiplication(coantidomain(B),forward_diamond(C,X0))) addition A
% 105.22/105.38  -> A
% 105.22/105.38  Current number of equations to process: 3446
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 936
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1795]
% 105.22/105.38  multiplication(multiplication(coantidomain(B),forward_diamond(C,X0)),A) addition A
% 105.22/105.38  -> A
% 105.22/105.38  Current number of equations to process: 3445
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 937
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1796]
% 105.22/105.38  multiplication(A,multiplication(coantidomain(B),backward_diamond(C,X0))) addition A
% 105.22/105.38  -> A
% 105.22/105.38  Current number of equations to process: 3444
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 938
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1797]
% 105.22/105.38  multiplication(multiplication(coantidomain(B),backward_diamond(C,X0)),A) addition A
% 105.22/105.38  -> A
% 105.22/105.38  Current number of equations to process: 3443
% 105.22/105.38  Current number of ordered equations: 0
% 105.22/105.38  Current number of rules: 939
% 105.22/105.38  New rule produced :
% 105.22/105.38  [1798]
% 105.22/105.38  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),B)
% 119.67/119.75  -> zero
% 119.67/119.75  Current number of equations to process: 3721
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 940
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1799]
% 119.67/119.75  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),B)
% 119.67/119.75  -> zero
% 119.67/119.75  Current number of equations to process: 4002
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 941
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1800]
% 119.67/119.75  backward_diamond(multiplication(multiplication(A,coantidomain(backward_diamond(A,B))),C),B)
% 119.67/119.75  -> zero
% 119.67/119.75  Current number of equations to process: 4530
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 942
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1801]
% 119.67/119.75  multiplication(c(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 119.67/119.75  -> c(backward_diamond(A,B))
% 119.67/119.75  Current number of equations to process: 4534
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 943
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1802] leq(c(multiplication(A,B)),c(forward_diamond(A,B))) -> true
% 119.67/119.75  Current number of equations to process: 4533
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 944
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1803]
% 119.67/119.75  multiplication(c(c(A)),multiplication(coantidomain(c(A)),B)) ->
% 119.67/119.75  multiplication(coantidomain(c(A)),B)
% 119.67/119.75  Current number of equations to process: 4533
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 945
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1804] c(B) addition multiplication(c(A),c(c(B))) -> c(A) addition c(B)
% 119.67/119.75  Rule
% 119.67/119.75  [1081]
% 119.67/119.75  c(A) addition multiplication(c(c(B)),c(c(A))) ->
% 119.67/119.75  c(c(B)) addition multiplication(c(B),c(A)) collapsed.
% 119.67/119.75  Current number of equations to process: 4533
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 945
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1805]
% 119.67/119.75  c(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 119.67/119.75  c(A) addition coantidomain(B)
% 119.67/119.75  Current number of equations to process: 4532
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 946
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1806]
% 119.67/119.75  coantidomain(codomain(A) addition B) addition coantidomain(A) ->
% 119.67/119.75  coantidomain(A)
% 119.67/119.75  Current number of equations to process: 3304
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 947
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1807]
% 119.67/119.75  backward_diamond(one addition multiplication(codomain(B),A),B) ->
% 119.67/119.75  backward_diamond(one addition A,B)
% 119.67/119.75  Current number of equations to process: 3388
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 948
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1808]
% 119.67/119.75  multiplication(A,multiplication(B,c(C))) addition multiplication(A,B) ->
% 119.67/119.75  multiplication(A,B)
% 119.67/119.75  Rule
% 119.67/119.75  [1130]
% 119.67/119.75  multiplication(A,multiplication(B,c(c(C)))) addition multiplication(A,B) ->
% 119.67/119.75  multiplication(A,B) collapsed.
% 119.67/119.75  Current number of equations to process: 3387
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 948
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1809]
% 119.67/119.75  multiplication(multiplication(A,c(C)),B) addition multiplication(A,B) ->
% 119.67/119.75  multiplication(A,B)
% 119.67/119.75  Rule
% 119.67/119.75  [1131]
% 119.67/119.75  multiplication(multiplication(A,c(c(C))),B) addition multiplication(A,B) ->
% 119.67/119.75  multiplication(A,B) collapsed.
% 119.67/119.75  Current number of equations to process: 3386
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 948
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1810] c(A) addition multiplication(c(c(A)),c(B)) -> c(A) addition c(B)
% 119.67/119.75  Current number of equations to process: 3385
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 949
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1811]
% 119.67/119.75  multiplication(multiplication(c(A),B),C) addition multiplication(B,C) ->
% 119.67/119.75  multiplication(B,C)
% 119.67/119.75  Rule
% 119.67/119.75  [1132]
% 119.67/119.75  multiplication(multiplication(c(c(A)),B),C) addition multiplication(B,C) ->
% 119.67/119.75  multiplication(B,C) collapsed.
% 119.67/119.75  Current number of equations to process: 3383
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 949
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1812]
% 119.67/119.75  multiplication(A,multiplication(c(C),B)) addition multiplication(A,B) ->
% 119.67/119.75  multiplication(A,B)
% 119.67/119.75  Rule
% 119.67/119.75  [1133]
% 119.67/119.75  multiplication(A,multiplication(c(c(C)),B)) addition multiplication(A,B) ->
% 119.67/119.75  multiplication(A,B) collapsed.
% 119.67/119.75  Current number of equations to process: 3382
% 119.67/119.75  Current number of ordered equations: 0
% 119.67/119.75  Current number of rules: 949
% 119.67/119.75  New rule produced :
% 119.67/119.75  [1813]
% 119.67/119.75  c(B) addition multiplication(c(c(B)),codomain(A)) ->
% 119.67/119.75  c(B) addition codomain(A)
% 119.67/119.75  Current number of equations to process: 3381
% 119.67/119.75  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 950
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1814] c(forward_diamond(c(A),multiplication(c(c(A)),B))) -> one
% 119.96/120.08  Current number of equations to process: 3379
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 951
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1815]
% 119.96/120.08  leq(codomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 119.96/120.08  Current number of equations to process: 3378
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 952
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1816]
% 119.96/120.08  leq(codomain(A) addition multiplication(c(B),C),one addition C) -> true
% 119.96/120.08  Current number of equations to process: 3377
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 953
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1817]
% 119.96/120.08  leq(coantidomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 119.96/120.08  Current number of equations to process: 3376
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 954
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1818]
% 119.96/120.08  leq(coantidomain(A) addition multiplication(c(B),C),one addition C) -> true
% 119.96/120.08  Current number of equations to process: 3375
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 955
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1819] leq(c(A) addition multiplication(B,c(C)),one addition B) -> true
% 119.96/120.08  Current number of equations to process: 3374
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 956
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1820] leq(c(A) addition multiplication(c(B),C),one addition C) -> true
% 119.96/120.08  Current number of equations to process: 3373
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 957
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1821]
% 119.96/120.08  leq(multiplication(multiplication(A,codomain(B)),c(C)),A addition X0) -> true
% 119.96/120.08  Current number of equations to process: 3371
% 119.96/120.08  Current number of ordered equations: 1
% 119.96/120.08  Current number of rules: 958
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1822]
% 119.96/120.08  leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A addition X0) ->
% 119.96/120.08  true
% 119.96/120.08  Current number of equations to process: 3371
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 959
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1823]
% 119.96/120.08  leq(multiplication(multiplication(codomain(A),B),c(C)),B addition X0) -> true
% 119.96/120.08  Current number of equations to process: 3369
% 119.96/120.08  Current number of ordered equations: 1
% 119.96/120.08  Current number of rules: 960
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1824]
% 119.96/120.08  leq(multiplication(multiplication(coantidomain(A),B),c(C)),B addition X0) ->
% 119.96/120.08  true
% 119.96/120.08  Current number of equations to process: 3369
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 961
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1825] leq(multiplication(multiplication(A,c(B)),c(C)),A addition X0) -> true
% 119.96/120.08  Current number of equations to process: 3368
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 962
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1826] leq(multiplication(multiplication(c(A),B),c(C)),B addition X0) -> true
% 119.96/120.08  Current number of equations to process: 3367
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 963
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1827]
% 119.96/120.08  multiplication(multiplication(c(codomain(A)),B),coantidomain(backward_diamond(B,
% 119.96/120.08                                                               coantidomain(A))))
% 119.96/120.08  -> zero
% 119.96/120.08  Current number of equations to process: 3366
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 964
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1828]
% 119.96/120.08  multiplication(c(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 119.96/120.08  -> c(coantidomain(backward_diamond(A,B)))
% 119.96/120.08  Current number of equations to process: 3365
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 965
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1829] leq(multiplication(A,c(B)) addition multiplication(A,c(C)),A) -> true
% 119.96/120.08  Current number of equations to process: 3364
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 966
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1830] leq(multiplication(c(A),B) addition multiplication(B,c(C)),B) -> true
% 119.96/120.08  Current number of equations to process: 3363
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 967
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1831]
% 119.96/120.08  leq(multiplication(A,c(C)) addition multiplication(A,codomain(B)),A) -> true
% 119.96/120.08  Current number of equations to process: 3362
% 119.96/120.08  Current number of ordered equations: 0
% 119.96/120.08  Current number of rules: 968
% 119.96/120.08  New rule produced :
% 119.96/120.08  [1832]
% 119.96/120.08  leq(multiplication(codomain(A),B) addition multiplication(B,c(C)),B) -> true
% 120.27/120.41  Current number of equations to process: 3361
% 120.27/120.41  Current number of ordered equations: 0
% 120.27/120.41  Current number of rules: 969
% 120.27/120.41  New rule produced :
% 120.27/120.41  [1833]
% 120.27/120.41  leq(multiplication(A,c(C)) addition multiplication(A,coantidomain(B)),A) ->
% 120.27/120.41  true
% 120.27/120.41  Current number of equations to process: 3360
% 120.27/120.41  Current number of ordered equations: 0
% 120.27/120.41  Current number of rules: 970
% 120.27/120.41  New rule produced :
% 120.27/120.41  [1834]
% 120.27/120.41  leq(multiplication(coantidomain(A),B) addition multiplication(B,c(C)),B) ->
% 120.27/120.41  true
% 120.27/120.41  Current number of equations to process: 3359
% 120.27/120.41  Current number of ordered equations: 0
% 120.27/120.41  Current number of rules: 971
% 120.27/120.41  New rule produced :
% 120.27/120.41  [1835]
% 120.27/120.41  leq(multiplication(multiplication(A,c(B)),codomain(C)),A addition X0) -> true
% 120.27/120.41  Current number of equations to process: 3358
% 120.27/120.41  Current number of ordered equations: 0
% 120.27/120.41  Current number of rules: 972
% 120.27/120.41  New rule produced :
% 120.27/120.41  [1836]
% 120.27/120.41  leq(multiplication(multiplication(c(A),B),codomain(C)),B addition X0) -> true
% 120.27/120.41  Current number of equations to process: 3357
% 120.27/120.41  Current number of ordered equations: 0
% 120.27/120.41  Current number of rules: 973
% 120.27/120.41  New rule produced :
% 120.27/120.42  [1837]
% 120.27/120.42  leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A addition X0) ->
% 120.27/120.42  true
% 120.27/120.42  Current number of equations to process: 3356
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 974
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1838]
% 120.27/120.42  leq(multiplication(multiplication(c(A),B),coantidomain(C)),B addition X0) ->
% 120.27/120.42  true
% 120.27/120.42  Current number of equations to process: 3355
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 975
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1839]
% 120.27/120.42  leq(multiplication(c(A),B) addition multiplication(B,codomain(C)),B) -> true
% 120.27/120.42  Current number of equations to process: 3354
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 976
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1840]
% 120.27/120.42  leq(multiplication(c(A),B) addition multiplication(B,coantidomain(C)),B) ->
% 120.27/120.42  true
% 120.27/120.42  Current number of equations to process: 3353
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 977
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1841]
% 120.27/120.42  leq(multiplication(c(A),multiplication(B,codomain(C))),B addition X0) -> true
% 120.27/120.42  Current number of equations to process: 3351
% 120.27/120.42  Current number of ordered equations: 1
% 120.27/120.42  Current number of rules: 978
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1842]
% 120.27/120.42  leq(multiplication(c(A),multiplication(B,coantidomain(C))),B addition X0) ->
% 120.27/120.42  true
% 120.27/120.42  Current number of equations to process: 3351
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 979
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1843]
% 120.27/120.42  leq(multiplication(c(A),multiplication(codomain(B),C)),C addition X0) -> true
% 120.27/120.42  Current number of equations to process: 3349
% 120.27/120.42  Current number of ordered equations: 1
% 120.27/120.42  Current number of rules: 980
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1844]
% 120.27/120.42  leq(multiplication(c(A),multiplication(coantidomain(B),C)),C addition X0) ->
% 120.27/120.42  true
% 120.27/120.42  Current number of equations to process: 3349
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 981
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1845] leq(multiplication(c(A),multiplication(B,c(C))),B addition X0) -> true
% 120.27/120.42  Current number of equations to process: 3348
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 982
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1846] leq(multiplication(c(A),multiplication(c(B),C)),C addition X0) -> true
% 120.27/120.42  Current number of equations to process: 3347
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 983
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1847] leq(multiplication(c(A),B) addition multiplication(c(C),B),B) -> true
% 120.27/120.42  Current number of equations to process: 3346
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 984
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1848]
% 120.27/120.42  leq(multiplication(c(C),B) addition multiplication(codomain(A),B),B) -> true
% 120.27/120.42  Current number of equations to process: 3345
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 985
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1849]
% 120.27/120.42  leq(multiplication(c(C),B) addition multiplication(coantidomain(A),B),B) ->
% 120.27/120.42  true
% 120.27/120.42  Current number of equations to process: 3344
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 986
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1850]
% 120.27/120.42  leq(multiplication(codomain(A),multiplication(B,c(C))),B addition X0) -> true
% 120.27/120.42  Current number of equations to process: 3343
% 120.27/120.42  Current number of ordered equations: 0
% 120.27/120.42  Current number of rules: 987
% 120.27/120.42  New rule produced :
% 120.27/120.42  [1851]
% 120.58/120.69  leq(multiplication(codomain(A),multiplication(c(B),C)),C addition X0) -> true
% 120.58/120.69  Current number of equations to process: 3342
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 988
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1852]
% 120.58/120.69  leq(multiplication(coantidomain(A),multiplication(B,c(C))),B addition X0) ->
% 120.58/120.69  true
% 120.58/120.69  Current number of equations to process: 3341
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 989
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1853]
% 120.58/120.69  leq(multiplication(coantidomain(A),multiplication(c(B),C)),C addition X0) ->
% 120.58/120.69  true
% 120.58/120.69  Current number of equations to process: 3340
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 990
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1854] leq(multiplication(c(A),c(B)) addition C,one addition C) -> true
% 120.58/120.69  Current number of equations to process: 3339
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 991
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1855]
% 120.58/120.69  c(forward_diamond(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),
% 120.58/120.69                                        c(c(X0))))) -> one
% 120.58/120.69  Current number of equations to process: 3337
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 992
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1856]
% 120.58/120.69  c(forward_diamond(multiplication(A,c(B)),multiplication(multiplication(B,C),
% 120.58/120.69                                           c(c(X0))))) -> one
% 120.58/120.69  Current number of equations to process: 3336
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 993
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1857]
% 120.58/120.69  forward_diamond(A,B) addition c(forward_diamond(A,multiplication(codomain(A),
% 120.58/120.69                                                    c(c(B))))) -> one
% 120.58/120.69  Current number of equations to process: 3335
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 994
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1858]
% 120.58/120.69  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),c(
% 120.58/120.69                                                                      multiplication(A,B))))
% 120.58/120.69  -> one
% 120.58/120.69  Current number of equations to process: 3334
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 995
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1859]
% 120.58/120.69  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 120.58/120.69                                                                     c(A)))))
% 120.58/120.69  -> one
% 120.58/120.69  Current number of equations to process: 3333
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 996
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1860]
% 120.58/120.69  coantidomain(backward_diamond(multiplication(A,B),multiplication(c(multiplication(C,A)),C)))
% 120.58/120.69  -> one
% 120.58/120.69  Current number of equations to process: 3332
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 997
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1861]
% 120.58/120.69  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 120.58/120.69                                                                      c(A))))
% 120.58/120.69  -> one
% 120.58/120.69  Current number of equations to process: 3331
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 998
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1862]
% 120.58/120.69  c(forward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 120.58/120.69                                                        backward_diamond(A,B),
% 120.58/120.69                                                        c(c(C))))) -> one
% 120.58/120.69  Current number of equations to process: 3329
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 999
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1863]
% 120.58/120.69  leq(multiplication(A,forward_diamond(B,C)) addition X0,A addition X0) -> true
% 120.58/120.69  Current number of equations to process: 3328
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 1000
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1864]
% 120.58/120.69  forward_diamond(multiplication(c(B),forward_diamond(C,X0)) addition A,B) ->
% 120.58/120.69  forward_diamond(A,B)
% 120.58/120.69  Current number of equations to process: 3326
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 1001
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1865]
% 120.58/120.69  multiplication(multiplication(A,forward_diamond(B,C)),forward_diamond(X0,X1)) addition A
% 120.58/120.69  -> A
% 120.58/120.69  Current number of equations to process: 3325
% 120.58/120.69  Current number of ordered equations: 0
% 120.58/120.69  Current number of rules: 1002
% 120.58/120.69  New rule produced :
% 120.58/120.69  [1866]
% 120.58/120.69  leq(multiplication(forward_diamond(A,B),C) addition X0,C addition X0) -> true
% 120.58/120.69  Current number of equations to process: 3324
% 120.58/120.69  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1003
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1867]
% 121.00/121.07  multiplication(forward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))) addition C
% 121.00/121.07  -> C
% 121.00/121.07  Current number of equations to process: 3321
% 121.00/121.07  Current number of ordered equations: 1
% 121.00/121.07  Current number of rules: 1004
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1868]
% 121.00/121.07  multiplication(multiplication(forward_diamond(B,C),A),forward_diamond(X0,X1)) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3321
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1005
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1869]
% 121.00/121.07  multiplication(forward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)) addition X1
% 121.00/121.07  -> X1
% 121.00/121.07  Current number of equations to process: 3319
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1006
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1870]
% 121.00/121.07  forward_diamond(multiplication(c(B),backward_diamond(C,X0)) addition A,B) ->
% 121.00/121.07  forward_diamond(A,B)
% 121.00/121.07  Current number of equations to process: 3271
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1007
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1871]
% 121.00/121.07  multiplication(multiplication(A,backward_diamond(B,C)),forward_diamond(X0,X1)) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3269
% 121.00/121.07  Current number of ordered equations: 1
% 121.00/121.07  Current number of rules: 1008
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1872]
% 121.00/121.07  multiplication(multiplication(A,forward_diamond(B,C)),backward_diamond(X0,X1)) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3269
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1009
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1873]
% 121.00/121.07  multiplication(multiplication(forward_diamond(A,B),C),backward_diamond(X0,X1)) addition C
% 121.00/121.07  -> C
% 121.00/121.07  Current number of equations to process: 3267
% 121.00/121.07  Current number of ordered equations: 1
% 121.00/121.07  Current number of rules: 1010
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1874]
% 121.00/121.07  multiplication(forward_diamond(B,C),multiplication(A,backward_diamond(X0,X1))) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3267
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1011
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1875]
% 121.00/121.07  multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(X0,X1)) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3266
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1012
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1876]
% 121.00/121.07  multiplication(backward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))) addition C
% 121.00/121.07  -> C
% 121.00/121.07  Current number of equations to process: 3264
% 121.00/121.07  Current number of ordered equations: 1
% 121.00/121.07  Current number of rules: 1013
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1877]
% 121.00/121.07  multiplication(multiplication(backward_diamond(B,C),A),forward_diamond(X0,X1)) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3264
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1014
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1878]
% 121.00/121.07  multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)) addition X1
% 121.00/121.07  -> X1
% 121.00/121.07  Current number of equations to process: 3262
% 121.00/121.07  Current number of ordered equations: 1
% 121.00/121.07  Current number of rules: 1015
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1879]
% 121.00/121.07  multiplication(forward_diamond(B,C),multiplication(backward_diamond(X0,X1),A)) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3262
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1016
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1880]
% 121.00/121.07  multiplication(backward_diamond(A,B),multiplication(C,backward_diamond(X0,X1))) addition C
% 121.00/121.07  -> C
% 121.00/121.07  Current number of equations to process: 3260
% 121.00/121.07  Current number of ordered equations: 1
% 121.00/121.07  Current number of rules: 1017
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1881]
% 121.00/121.07  multiplication(multiplication(backward_diamond(B,C),A),backward_diamond(X0,X1)) addition A
% 121.00/121.07  -> A
% 121.00/121.07  Current number of equations to process: 3260
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1018
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1882]
% 121.00/121.07  multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),X1)) addition X1
% 121.00/121.07  -> X1
% 121.00/121.07  Current number of equations to process: 3258
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1019
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1883]
% 121.00/121.07  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 121.00/121.07  -> true
% 121.00/121.07  Current number of equations to process: 3257
% 121.00/121.07  Current number of ordered equations: 0
% 121.00/121.07  Current number of rules: 1020
% 121.00/121.07  New rule produced :
% 121.00/121.07  [1884]
% 121.00/121.07  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 121.30/121.41  -> true
% 121.30/121.41  Current number of equations to process: 3256
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1021
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1885]
% 121.30/121.41  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 121.30/121.41               forward_diamond(C,X0)) -> one
% 121.30/121.41  Current number of equations to process: 3255
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1022
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1886]
% 121.30/121.41  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 121.30/121.41                                                   codomain(X0))) -> one
% 121.30/121.41  Current number of equations to process: 3254
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1023
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1887]
% 121.30/121.41  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 121.30/121.41               backward_diamond(C,X0)) -> one
% 121.30/121.41  Current number of equations to process: 3253
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1024
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1888]
% 121.30/121.41  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 121.30/121.41                                                    codomain(X0))) -> one
% 121.30/121.41  Current number of equations to process: 3252
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1025
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1889]
% 121.30/121.41  leq(backward_diamond(A,B) addition multiplication(codomain(C),codomain(X0)),one)
% 121.30/121.41  -> true
% 121.30/121.41  Current number of equations to process: 3251
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1026
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1890]
% 121.30/121.41  leq(forward_diamond(A,B) addition multiplication(codomain(C),codomain(X0)),one)
% 121.30/121.41  -> true
% 121.30/121.41  Current number of equations to process: 3250
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1027
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1891]
% 121.30/121.41  one addition multiplication(multiplication(codomain(A),codomain(B)),forward_diamond(C,X0))
% 121.30/121.41  -> one
% 121.30/121.41  Current number of equations to process: 3249
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1028
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1892]
% 121.30/121.41  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 121.30/121.41                                                   codomain(X0))) -> one
% 121.30/121.41  Current number of equations to process: 3248
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1029
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1893]
% 121.30/121.41  one addition multiplication(multiplication(codomain(A),codomain(B)),backward_diamond(C,X0))
% 121.30/121.41  -> one
% 121.30/121.41  Current number of equations to process: 3247
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1030
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1894]
% 121.30/121.41  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 121.30/121.41                                                    codomain(X0))) -> one
% 121.30/121.41  Current number of equations to process: 3246
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1031
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1895]
% 121.30/121.41  leq(backward_diamond(A,B) addition multiplication(c(C),codomain(X0)),one) ->
% 121.30/121.41  true
% 121.30/121.41  Current number of equations to process: 3245
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1032
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1896]
% 121.30/121.41  leq(forward_diamond(A,B) addition multiplication(c(C),codomain(X0)),one) ->
% 121.30/121.41  true
% 121.30/121.41  Current number of equations to process: 3244
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1033
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1897]
% 121.30/121.41  one addition multiplication(multiplication(c(A),codomain(B)),forward_diamond(C,X0))
% 121.30/121.41  -> one
% 121.30/121.41  Current number of equations to process: 3243
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1034
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1898]
% 121.30/121.41  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 121.30/121.41                                                   codomain(X0))) -> one
% 121.30/121.41  Current number of equations to process: 3242
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1035
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1899]
% 121.30/121.41  one addition multiplication(multiplication(c(A),codomain(B)),backward_diamond(C,X0))
% 121.30/121.41  -> one
% 121.30/121.41  Current number of equations to process: 3241
% 121.30/121.41  Current number of ordered equations: 0
% 121.30/121.41  Current number of rules: 1036
% 121.30/121.41  New rule produced :
% 121.30/121.41  [1900]
% 121.30/121.41  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 121.59/121.73                                                    codomain(X0))) -> one
% 121.59/121.73  Current number of equations to process: 3240
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1037
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1901]
% 121.59/121.73  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 121.59/121.73               codomain(X0)) -> one
% 121.59/121.73  Current number of equations to process: 3239
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1038
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1902]
% 121.59/121.73  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 121.59/121.73                                          codomain(X0))) -> one
% 121.59/121.73  Current number of equations to process: 3238
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1039
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1903]
% 121.59/121.73  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 121.59/121.73               coantidomain(X0)) -> one
% 121.59/121.73  Current number of equations to process: 3237
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1040
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1904]
% 121.59/121.73  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 121.59/121.73                                              codomain(X0))) -> one
% 121.59/121.73  Current number of equations to process: 3236
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1041
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1905]
% 121.59/121.73  leq(codomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 121.59/121.73  -> true
% 121.59/121.73  Current number of equations to process: 3235
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1042
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1906]
% 121.59/121.73  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 121.59/121.73  -> true
% 121.59/121.73  Current number of equations to process: 3234
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1043
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1907]
% 121.59/121.73  leq(c(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one) ->
% 121.59/121.73  true
% 121.59/121.73  Current number of equations to process: 3233
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1044
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1908]
% 121.59/121.73  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),codomain(X0)),one)
% 121.59/121.73  -> true
% 121.59/121.73  Current number of equations to process: 3232
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1045
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1909]
% 121.59/121.73  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),coantidomain(X0)),one)
% 121.59/121.73  -> true
% 121.59/121.73  Current number of equations to process: 3231
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1046
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1910]
% 121.59/121.73  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),codomain(X0))),one)
% 121.59/121.73  -> true
% 121.59/121.73  Current number of equations to process: 3230
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1047
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1911]
% 121.59/121.73  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 121.59/121.73                                     codomain(X0))),one) -> true
% 121.59/121.73  Current number of equations to process: 3229
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1048
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1912]
% 121.59/121.73  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 121.59/121.73               c(X0)) -> one
% 121.59/121.73  Current number of equations to process: 3226
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1049
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1913]
% 121.59/121.73  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 121.59/121.73                                   codomain(X0))) -> one
% 121.59/121.73  Current number of equations to process: 3225
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1050
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1914]
% 121.59/121.73  leq(backward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 121.59/121.73  -> true
% 121.59/121.73  Current number of equations to process: 3224
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1051
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1915]
% 121.59/121.73  leq(forward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 121.59/121.73  -> true
% 121.59/121.73  Current number of equations to process: 3223
% 121.59/121.73  Current number of ordered equations: 0
% 121.59/121.73  Current number of rules: 1052
% 121.59/121.73  New rule produced :
% 121.59/121.73  [1916]
% 121.59/121.73  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 121.59/121.73               forward_diamond(C,X0)) -> one
% 121.59/121.73  Current number of equations to process: 3222
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1053
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1917]
% 121.98/122.07  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 121.98/122.07                                                   coantidomain(X0))) -> one
% 121.98/122.07  Current number of equations to process: 3221
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1054
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1918]
% 121.98/122.07  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 121.98/122.07               backward_diamond(C,X0)) -> one
% 121.98/122.07  Current number of equations to process: 3220
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1055
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1919]
% 121.98/122.07  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 121.98/122.07                                                    coantidomain(X0))) -> one
% 121.98/122.07  Current number of equations to process: 3219
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1056
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1920]
% 121.98/122.07  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 121.98/122.07               codomain(X0)) -> one
% 121.98/122.07  Current number of equations to process: 3218
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1057
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1921]
% 121.98/122.07  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 121.98/122.07                                          codomain(X0))) -> one
% 121.98/122.07  Current number of equations to process: 3217
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1058
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1922]
% 121.98/122.07  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 121.98/122.07               coantidomain(X0)) -> one
% 121.98/122.07  Current number of equations to process: 3216
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1059
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1923]
% 121.98/122.07  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 121.98/122.07                                              codomain(X0))) -> one
% 121.98/122.07  Current number of equations to process: 3215
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1060
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1924]
% 121.98/122.07  leq(codomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 121.98/122.07  -> true
% 121.98/122.07  Current number of equations to process: 3214
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1061
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1925]
% 121.98/122.07  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 121.98/122.07  -> true
% 121.98/122.07  Current number of equations to process: 3213
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1062
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1926]
% 121.98/122.07  leq(c(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one) ->
% 121.98/122.07  true
% 121.98/122.07  Current number of equations to process: 3212
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1063
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1927]
% 121.98/122.07  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 121.98/122.07      codomain(X0)),one) -> true
% 121.98/122.07  Current number of equations to process: 3211
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1064
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1928]
% 121.98/122.07  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 121.98/122.07      coantidomain(X0)),one) -> true
% 121.98/122.07  Current number of equations to process: 3210
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1065
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1929]
% 121.98/122.07  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),codomain(X0))),one)
% 121.98/122.07  -> true
% 121.98/122.07  Current number of equations to process: 3209
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1066
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1930]
% 121.98/122.07  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 121.98/122.07                                     codomain(X0))),one) -> true
% 121.98/122.07  Current number of equations to process: 3208
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1067
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1931]
% 121.98/122.07  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 121.98/122.07               c(X0)) -> one
% 121.98/122.07  Current number of equations to process: 3205
% 121.98/122.07  Current number of ordered equations: 0
% 121.98/122.07  Current number of rules: 1068
% 121.98/122.07  New rule produced :
% 121.98/122.07  [1932]
% 121.98/122.07  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 121.98/122.07                                   codomain(X0))) -> one
% 122.28/122.39  Current number of equations to process: 3204
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1069
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1933]
% 122.28/122.39  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 122.28/122.39               codomain(X0)) -> one
% 122.28/122.39  Current number of equations to process: 3201
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1070
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1934]
% 122.28/122.39  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 122.28/122.39               codomain(X0)) -> one
% 122.28/122.39  Current number of equations to process: 3200
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1071
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1935]
% 122.28/122.39  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 122.28/122.39               codomain(X0)) -> one
% 122.28/122.39  Current number of equations to process: 3199
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1072
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1936]
% 122.28/122.39  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 122.28/122.39               codomain(X0)) -> one
% 122.28/122.39  Current number of equations to process: 3198
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1073
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1937]
% 122.28/122.39  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 122.28/122.39               codomain(X0)) -> one
% 122.28/122.39  Current number of equations to process: 3197
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1074
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1938]
% 122.28/122.39  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 122.28/122.39               codomain(X0)) -> one
% 122.28/122.39  Current number of equations to process: 3196
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1075
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1939]
% 122.28/122.39  leq(backward_diamond(A,B) addition multiplication(codomain(C),c(X0)),one) ->
% 122.28/122.39  true
% 122.28/122.39  Current number of equations to process: 3195
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1076
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1940]
% 122.28/122.39  leq(forward_diamond(A,B) addition multiplication(codomain(C),c(X0)),one) ->
% 122.28/122.39  true
% 122.28/122.39  Current number of equations to process: 3194
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1077
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1941]
% 122.28/122.39  one addition multiplication(multiplication(codomain(A),c(B)),forward_diamond(C,X0))
% 122.28/122.39  -> one
% 122.28/122.39  Current number of equations to process: 3193
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1078
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1942]
% 122.28/122.39  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 122.28/122.39                                                   c(X0))) -> one
% 122.28/122.39  Current number of equations to process: 3192
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1079
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1943]
% 122.28/122.39  one addition multiplication(multiplication(codomain(A),c(B)),backward_diamond(C,X0))
% 122.28/122.39  -> one
% 122.28/122.39  Current number of equations to process: 3191
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1080
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1944]
% 122.28/122.39  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 122.28/122.39                                                    c(X0))) -> one
% 122.28/122.39  Current number of equations to process: 3190
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1081
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1945]
% 122.28/122.39  one addition multiplication(codomain(A),multiplication(codomain(B),forward_diamond(C,X0)))
% 122.28/122.39  -> one
% 122.28/122.39  Current number of equations to process: 3188
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1082
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1946]
% 122.28/122.39  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 122.28/122.39               coantidomain(X0)) -> one
% 122.28/122.39  Current number of equations to process: 3187
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1083
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1947]
% 122.28/122.39  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 122.28/122.39                                              forward_diamond(C,X0))) -> one
% 122.28/122.39  Current number of equations to process: 3186
% 122.28/122.39  Current number of ordered equations: 0
% 122.28/122.39  Current number of rules: 1084
% 122.28/122.39  New rule produced :
% 122.28/122.39  [1948]
% 122.28/122.39  leq(codomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 122.28/122.39  -> true
% 122.28/122.39  Current number of equations to process: 3185
% 122.28/122.39  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1085
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1949]
% 122.45/122.56  leq(coantidomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3184
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1086
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1950]
% 122.45/122.56  leq(c(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one) ->
% 122.45/122.56  true
% 122.45/122.56  Current number of equations to process: 3183
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1087
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1951]
% 122.45/122.56  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),codomain(X0)),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3182
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1088
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1952]
% 122.45/122.56  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),coantidomain(X0)),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3181
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1089
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1953]
% 122.45/122.56  leq(multiplication(codomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3180
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1090
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1954]
% 122.45/122.56  leq(multiplication(coantidomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3179
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1091
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1955]
% 122.45/122.56  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 122.45/122.56               c(X0)) -> one
% 122.45/122.56  Current number of equations to process: 3176
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1092
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1956]
% 122.45/122.56  one addition multiplication(c(A),multiplication(codomain(B),forward_diamond(C,X0)))
% 122.45/122.56  -> one
% 122.45/122.56  Current number of equations to process: 3175
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1093
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1957]
% 122.45/122.56  one addition multiplication(codomain(A),multiplication(codomain(B),backward_diamond(C,X0)))
% 122.45/122.56  -> one
% 122.45/122.56  Current number of equations to process: 3173
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1094
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1958]
% 122.45/122.56  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 122.45/122.56               coantidomain(X0)) -> one
% 122.45/122.56  Current number of equations to process: 3172
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1095
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1959]
% 122.45/122.56  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 122.45/122.56                                              backward_diamond(C,X0))) -> one
% 122.45/122.56  Current number of equations to process: 3171
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1096
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1960]
% 122.45/122.56  leq(codomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3170
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1097
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1961]
% 122.45/122.56  leq(coantidomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3169
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1098
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1962]
% 122.45/122.56  leq(c(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one) ->
% 122.45/122.56  true
% 122.45/122.56  Current number of equations to process: 3168
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1099
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1963]
% 122.45/122.56  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 122.45/122.56      codomain(X0)),one) -> true
% 122.45/122.56  Current number of equations to process: 3167
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1100
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1964]
% 122.45/122.56  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 122.45/122.56      coantidomain(X0)),one) -> true
% 122.45/122.56  Current number of equations to process: 3166
% 122.45/122.56  Current number of ordered equations: 0
% 122.45/122.56  Current number of rules: 1101
% 122.45/122.56  New rule produced :
% 122.45/122.56  [1965]
% 122.45/122.56  leq(multiplication(codomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 122.45/122.56  -> true
% 122.45/122.56  Current number of equations to process: 3165
% 122.45/122.56  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1102
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1966]
% 122.67/122.73  leq(multiplication(coantidomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 122.67/122.73  -> true
% 122.67/122.73  Current number of equations to process: 3164
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1103
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1967]
% 122.67/122.73  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 122.67/122.73               c(X0)) -> one
% 122.67/122.73  Current number of equations to process: 3161
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1104
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1968]
% 122.67/122.73  one addition multiplication(c(A),multiplication(codomain(B),backward_diamond(C,X0)))
% 122.67/122.73  -> one
% 122.67/122.73  Current number of equations to process: 3160
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1105
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1969]
% 122.67/122.73  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 122.67/122.73                                          coantidomain(X0))) -> one
% 122.67/122.73  Current number of equations to process: 3157
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1106
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1970]
% 122.67/122.73  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 122.67/122.73                                          coantidomain(X0))) -> one
% 122.67/122.73  Current number of equations to process: 3156
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1107
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1971]
% 122.67/122.73  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 122.67/122.73                                          forward_diamond(C,X0))) -> one
% 122.67/122.73  Current number of equations to process: 3153
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1108
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1972]
% 122.67/122.73  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 122.67/122.73                                          backward_diamond(C,X0))) -> one
% 122.67/122.73  Current number of equations to process: 3152
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1109
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1973]
% 122.67/122.73  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 122.67/122.73  -> true
% 122.67/122.73  Current number of equations to process: 3151
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1110
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1974]
% 122.67/122.73  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 122.67/122.73  -> true
% 122.67/122.73  Current number of equations to process: 3150
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1111
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1975]
% 122.67/122.73  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 122.67/122.73               forward_diamond(C,X0)) -> one
% 122.67/122.73  Current number of equations to process: 3149
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1112
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1976]
% 122.67/122.73  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 122.67/122.73                                                   coantidomain(X0))) -> one
% 122.67/122.73  Current number of equations to process: 3148
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1113
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1977]
% 122.67/122.73  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 122.67/122.73               backward_diamond(C,X0)) -> one
% 122.67/122.73  Current number of equations to process: 3147
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1114
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1978]
% 122.67/122.73  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 122.67/122.73                                                    coantidomain(X0))) -> one
% 122.67/122.73  Current number of equations to process: 3146
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1115
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1979]
% 122.67/122.73  leq(backward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 122.67/122.73  -> true
% 122.67/122.73  Current number of equations to process: 3145
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1116
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1980]
% 122.67/122.73  leq(forward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 122.67/122.73  -> true
% 122.67/122.73  Current number of equations to process: 3144
% 122.67/122.73  Current number of ordered equations: 0
% 122.67/122.73  Current number of rules: 1117
% 122.67/122.73  New rule produced :
% 122.67/122.73  [1981]
% 122.67/122.73  one addition multiplication(multiplication(c(A),coantidomain(B)),forward_diamond(C,X0))
% 122.67/122.73  -> one
% 122.67/122.73  Current number of equations to process: 3143
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1118
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1982]
% 122.98/123.10  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 122.98/123.10                                                   coantidomain(X0))) -> one
% 122.98/123.10  Current number of equations to process: 3142
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1119
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1983]
% 122.98/123.10  one addition multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0))
% 122.98/123.10  -> one
% 122.98/123.10  Current number of equations to process: 3141
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1120
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1984]
% 122.98/123.10  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 122.98/123.10                                                    coantidomain(X0))) -> one
% 122.98/123.10  Current number of equations to process: 3140
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1121
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1985]
% 122.98/123.10  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 122.98/123.10               coantidomain(X0)) -> one
% 122.98/123.10  Current number of equations to process: 3137
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1122
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1986]
% 122.98/123.10  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 122.98/123.10                                              coantidomain(X0))) -> one
% 122.98/123.10  Current number of equations to process: 3136
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1123
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1987]
% 122.98/123.10  leq(codomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 122.98/123.10  -> true
% 122.98/123.10  Current number of equations to process: 3135
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1124
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1988]
% 122.98/123.10  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 122.98/123.10  -> true
% 122.98/123.10  Current number of equations to process: 3134
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1125
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1989]
% 122.98/123.10  leq(c(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 122.98/123.10  -> true
% 122.98/123.10  Current number of equations to process: 3133
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1126
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1990]
% 122.98/123.10  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 122.98/123.10      codomain(X0)),one) -> true
% 122.98/123.10  Current number of equations to process: 3132
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1127
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1991]
% 122.98/123.10  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 122.98/123.10      coantidomain(X0)),one) -> true
% 122.98/123.10  Current number of equations to process: 3131
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1128
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1992]
% 122.98/123.10  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),coantidomain(X0))),one)
% 122.98/123.10  -> true
% 122.98/123.10  Current number of equations to process: 3130
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1129
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1993]
% 122.98/123.10  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 122.98/123.10                                     coantidomain(X0))),one) -> true
% 122.98/123.10  Current number of equations to process: 3129
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1130
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1994]
% 122.98/123.10  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 122.98/123.10               c(X0)) -> one
% 122.98/123.10  Current number of equations to process: 3126
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1131
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1995]
% 122.98/123.10  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 122.98/123.10                                   coantidomain(X0))) -> one
% 122.98/123.10  Current number of equations to process: 3125
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1132
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1996]
% 122.98/123.10  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 122.98/123.10               coantidomain(X0)) -> one
% 122.98/123.10  Current number of equations to process: 3122
% 122.98/123.10  Current number of ordered equations: 0
% 122.98/123.10  Current number of rules: 1133
% 122.98/123.10  New rule produced :
% 122.98/123.10  [1997]
% 122.98/123.10  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 122.98/123.10                                              coantidomain(X0))) -> one
% 123.41/123.50  Current number of equations to process: 3121
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1134
% 123.41/123.50  New rule produced :
% 123.41/123.50  [1998]
% 123.41/123.50  leq(codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 123.41/123.50  -> true
% 123.41/123.50  Current number of equations to process: 3120
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1135
% 123.41/123.50  New rule produced :
% 123.41/123.50  [1999]
% 123.41/123.50  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 123.41/123.50  -> true
% 123.41/123.50  Current number of equations to process: 3119
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1136
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2000]
% 123.41/123.50  leq(c(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 123.41/123.50  -> true
% 123.41/123.50  Current number of equations to process: 3118
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1137
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2001]
% 123.41/123.50  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 123.41/123.50      codomain(X0)),one) -> true
% 123.41/123.50  Current number of equations to process: 3117
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1138
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2002]
% 123.41/123.50  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 123.41/123.50      coantidomain(X0)),one) -> true
% 123.41/123.50  Current number of equations to process: 3116
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1139
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2003]
% 123.41/123.50  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),coantidomain(X0))),one)
% 123.41/123.50  -> true
% 123.41/123.50  Current number of equations to process: 3115
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1140
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2004]
% 123.41/123.50  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 123.41/123.50                                     coantidomain(X0))),one) -> true
% 123.41/123.50  Current number of equations to process: 3114
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1141
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2005]
% 123.41/123.50  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 123.41/123.50               c(X0)) -> one
% 123.41/123.50  Current number of equations to process: 3111
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1142
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2006]
% 123.41/123.50  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 123.41/123.50                                   coantidomain(X0))) -> one
% 123.41/123.50  Current number of equations to process: 3110
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1143
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2007]
% 123.41/123.50  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 123.41/123.50               coantidomain(X0)) -> one
% 123.41/123.50  Current number of equations to process: 3105
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1144
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2008]
% 123.41/123.50  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 123.41/123.50               coantidomain(X0)) -> one
% 123.41/123.50  Current number of equations to process: 3104
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1145
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2009]
% 123.41/123.50  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 123.41/123.50  -> true
% 123.41/123.50  Current number of equations to process: 3101
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1146
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2010]
% 123.41/123.50  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 123.41/123.50  -> true
% 123.41/123.50  Current number of equations to process: 3100
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1147
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2011]
% 123.41/123.50  one addition multiplication(multiplication(coantidomain(A),c(B)),forward_diamond(C,X0))
% 123.41/123.50  -> one
% 123.41/123.50  Current number of equations to process: 3099
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1148
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2012]
% 123.41/123.50  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 123.41/123.50                                                   c(X0))) -> one
% 123.41/123.50  Current number of equations to process: 3098
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1149
% 123.41/123.50  New rule produced :
% 123.41/123.50  [2013]
% 123.41/123.50  one addition multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0))
% 123.41/123.50  -> one
% 123.41/123.50  Current number of equations to process: 3097
% 123.41/123.50  Current number of ordered equations: 0
% 123.41/123.50  Current number of rules: 1150
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2014]
% 123.82/123.90  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 123.82/123.90                                                    c(X0))) -> one
% 123.82/123.90  Current number of equations to process: 3096
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1151
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2015]
% 123.82/123.90  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 123.82/123.90                                              forward_diamond(C,X0))) -> one
% 123.82/123.90  Current number of equations to process: 3092
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1152
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2016]
% 123.82/123.90  leq(codomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3091
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1153
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2017]
% 123.82/123.90  leq(coantidomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3090
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1154
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2018]
% 123.82/123.90  leq(c(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3089
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1155
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2019]
% 123.82/123.90  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 123.82/123.90      codomain(X0)),one) -> true
% 123.82/123.90  Current number of equations to process: 3088
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1156
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2020]
% 123.82/123.90  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 123.82/123.90      coantidomain(X0)),one) -> true
% 123.82/123.90  Current number of equations to process: 3087
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1157
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2021]
% 123.82/123.90  leq(multiplication(codomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3086
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1158
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2022]
% 123.82/123.90  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3085
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1159
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2023]
% 123.82/123.90  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 123.82/123.90               c(X0)) -> one
% 123.82/123.90  Current number of equations to process: 3082
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1160
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2024]
% 123.82/123.90  one addition multiplication(c(A),multiplication(coantidomain(B),forward_diamond(C,X0)))
% 123.82/123.90  -> one
% 123.82/123.90  Current number of equations to process: 3081
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1161
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2025]
% 123.82/123.90  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 123.82/123.90                                              backward_diamond(C,X0))) -> one
% 123.82/123.90  Current number of equations to process: 3077
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1162
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2026]
% 123.82/123.90  leq(codomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3076
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1163
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2027]
% 123.82/123.90  leq(coantidomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3075
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1164
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2028]
% 123.82/123.90  leq(c(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 123.82/123.90  -> true
% 123.82/123.90  Current number of equations to process: 3074
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1165
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2029]
% 123.82/123.90  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 123.82/123.90      codomain(X0)),one) -> true
% 123.82/123.90  Current number of equations to process: 3073
% 123.82/123.90  Current number of ordered equations: 0
% 123.82/123.90  Current number of rules: 1166
% 123.82/123.90  New rule produced :
% 123.82/123.90  [2030]
% 123.82/123.90  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 123.82/123.90      coantidomain(X0)),one) -> true
% 127.20/127.28  Current number of equations to process: 3072
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1167
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2031]
% 127.20/127.28  leq(multiplication(codomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 127.20/127.28  -> true
% 127.20/127.28  Current number of equations to process: 3071
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1168
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2032]
% 127.20/127.28  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 127.20/127.28  -> true
% 127.20/127.28  Current number of equations to process: 3070
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1169
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2033]
% 127.20/127.28  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 127.20/127.28               c(X0)) -> one
% 127.20/127.28  Current number of equations to process: 3067
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1170
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2034]
% 127.20/127.28  one addition multiplication(c(A),multiplication(coantidomain(B),backward_diamond(C,X0)))
% 127.20/127.28  -> one
% 127.20/127.28  Current number of equations to process: 3066
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1171
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2035]
% 127.20/127.28  coantidomain(backward_diamond(backward_diamond(A,B),multiplication(C,
% 127.20/127.28                                                      coantidomain(backward_diamond(A,B)))))
% 127.20/127.28  -> one
% 127.20/127.28  Current number of equations to process: 3057
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1172
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2036]
% 127.20/127.28  multiplication(backward_diamond(A,B),multiplication(backward_diamond(A,B),C))
% 127.20/127.28  -> multiplication(backward_diamond(A,B),C)
% 127.20/127.28  Current number of equations to process: 3056
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1173
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2037]
% 127.20/127.28  coantidomain(backward_diamond(multiplication(backward_diamond(A,B),C),
% 127.20/127.28               coantidomain(backward_diamond(A,B)))) -> one
% 127.20/127.28  Current number of equations to process: 3055
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1174
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2038]
% 127.20/127.28  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition B)
% 127.20/127.28  -> true
% 127.20/127.28  Current number of equations to process: 3069
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1175
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2039]
% 127.20/127.28  multiplication(c(A),multiplication(coantidomain(c(c(A))),B)) ->
% 127.20/127.28  multiplication(coantidomain(c(c(A))),B)
% 127.20/127.28  Current number of equations to process: 3162
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1176
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2040] c(c(B)) addition multiplication(c(A),c(B)) -> c(c(B)) addition c(A)
% 127.20/127.28  Current number of equations to process: 3160
% 127.20/127.28  Current number of ordered equations: 1
% 127.20/127.28  Current number of rules: 1177
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2041] c(c(A)) addition multiplication(c(A),c(B)) -> c(c(A)) addition c(B)
% 127.20/127.28  Current number of equations to process: 3160
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1178
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2042]
% 127.20/127.28  c(c(A)) addition multiplication(c(A),codomain(B)) ->
% 127.20/127.28  c(c(A)) addition codomain(B)
% 127.20/127.28  Current number of equations to process: 3158
% 127.20/127.28  Current number of ordered equations: 1
% 127.20/127.28  Current number of rules: 1179
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2043]
% 127.20/127.28  c(c(A)) addition multiplication(c(A),coantidomain(B)) ->
% 127.20/127.28  c(c(A)) addition coantidomain(B)
% 127.20/127.28  Current number of equations to process: 3158
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1180
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2044]
% 127.20/127.28  multiplication(multiplication(A,multiplication(B,codomain(C))),coantidomain(
% 127.20/127.28                                                                 multiplication(A,B)))
% 127.20/127.28  -> zero
% 127.20/127.28  Current number of equations to process: 3354
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1181
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2045]
% 127.20/127.28  leq(multiplication(multiplication(A,codomain(B)),C),multiplication(A,C)) ->
% 127.20/127.28  true
% 127.20/127.28  Current number of equations to process: 3385
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1182
% 127.20/127.28  New rule produced :
% 127.20/127.28  [2046]
% 127.20/127.28  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(A),C))
% 127.20/127.28  -> zero
% 127.20/127.28  Current number of equations to process: 3386
% 127.20/127.28  Current number of ordered equations: 0
% 127.20/127.28  Current number of rules: 1183
% 127.20/127.28  New rule produced :
% 134.94/134.99  [2047]
% 134.94/134.99  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 134.94/134.99                                                             codomain(A),C)) ->
% 134.94/134.99  zero
% 134.94/134.99  Current number of equations to process: 3460
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1184
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2048]
% 134.94/134.99  multiplication(multiplication(multiplication(A,B),codomain(C)),multiplication(
% 134.94/134.99                                                                 coantidomain(B),X0))
% 134.94/134.99  -> zero
% 134.94/134.99  Current number of equations to process: 3509
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1185
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2049]
% 134.94/134.99  multiplication(multiplication(codomain(A),codomain(B)),coantidomain(A)) ->
% 134.94/134.99  zero
% 134.94/134.99  Current number of equations to process: 3573
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1186
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2050]
% 134.94/134.99  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 134.94/134.99                                                         coantidomain(A),C)) ->
% 134.94/134.99  zero
% 134.94/134.99  Current number of equations to process: 3573
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1187
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2051]
% 134.94/134.99  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 134.94/134.99                                                                 multiplication(A,C)))
% 134.94/134.99  -> zero
% 134.94/134.99  Current number of equations to process: 3658
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1188
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2052]
% 134.94/134.99  leq(multiplication(A,multiplication(codomain(B),C)),multiplication(A,C)) ->
% 134.94/134.99  true
% 134.94/134.99  Current number of equations to process: 3977
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1189
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2053]
% 134.94/134.99  multiplication(coantidomain(A),multiplication(codomain(B),codomain(A))) ->
% 134.94/134.99  zero
% 134.94/134.99  Current number of equations to process: 3978
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1190
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2054]
% 134.94/134.99  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(B)))
% 134.94/134.99  -> zero
% 134.94/134.99  Rule
% 134.94/134.99  [1716]
% 134.94/134.99  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 134.94/134.99                                               coantidomain(B))) -> zero
% 134.94/134.99  collapsed.
% 134.94/134.99  Rule
% 134.94/134.99  [1721]
% 134.94/134.99  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 134.94/134.99                                                   coantidomain(B))) -> zero
% 134.94/134.99  collapsed.
% 134.94/134.99  Current number of equations to process: 3979
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1189
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2055]
% 134.94/134.99  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 134.94/134.99                                                   codomain(B))) -> zero
% 134.94/134.99  Current number of equations to process: 4052
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1190
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2056]
% 134.94/134.99  multiplication(multiplication(A,B),multiplication(codomain(C),multiplication(
% 134.94/134.99                                                                coantidomain(B),X0)))
% 134.94/134.99  -> zero
% 134.94/134.99  Current number of equations to process: 4101
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1191
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2057]
% 134.94/134.99  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 134.94/134.99                                               coantidomain(B))) -> zero
% 134.94/134.99  Current number of equations to process: 4169
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1192
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2058]
% 134.94/134.99  multiplication(multiplication(A,multiplication(codomain(B),C)),coantidomain(
% 134.94/134.99                                                                 multiplication(A,C)))
% 134.94/134.99  -> zero
% 134.94/134.99  Current number of equations to process: 4262
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1193
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2059]
% 134.94/134.99  multiplication(coantidomain(backward_diamond(A,B)),multiplication(codomain(C),
% 134.94/134.99                                                     backward_diamond(A,B))) ->
% 134.94/134.99  zero
% 134.94/134.99  Current number of equations to process: 4261
% 134.94/134.99  Current number of ordered equations: 0
% 134.94/134.99  Current number of rules: 1194
% 134.94/134.99  New rule produced :
% 134.94/134.99  [2060]
% 134.94/134.99  multiplication(multiplication(A,multiplication(B,coantidomain(C))),coantidomain(
% 134.94/134.99                                                                     multiplication(A,B)))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 4545
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1195
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2061]
% 141.59/141.67  leq(multiplication(multiplication(A,coantidomain(B)),C),multiplication(A,C))
% 141.59/141.67  -> true
% 141.59/141.67  Current number of equations to process: 4574
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1196
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2062]
% 141.59/141.67  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(A),C))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 4575
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1197
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2063]
% 141.59/141.67  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 141.59/141.67                                                                 codomain(A),C))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 4643
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1198
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2064]
% 141.59/141.67  multiplication(multiplication(multiplication(A,B),coantidomain(C)),multiplication(
% 141.59/141.67                                                                     coantidomain(B),X0))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 4692
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1199
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2065]
% 141.59/141.67  multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(A))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 4750
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1200
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2066]
% 141.59/141.67  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 141.59/141.67                                                             coantidomain(A),C))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 4750
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1201
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2067]
% 141.59/141.67  multiplication(multiplication(multiplication(A,coantidomain(B)),C),coantidomain(
% 141.59/141.67                                                                     multiplication(A,C)))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 4851
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1202
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2068]
% 141.59/141.67  leq(multiplication(A,multiplication(coantidomain(B),C)),multiplication(A,C))
% 141.59/141.67  -> true
% 141.59/141.67  Current number of equations to process: 942
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1203
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2069]
% 141.59/141.67  multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(A)))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 943
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1204
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2070]
% 141.59/141.67  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(B)))
% 141.59/141.67  -> zero
% 141.59/141.67  Rule
% 141.59/141.67  [1742]
% 141.59/141.67  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 141.59/141.67                                               coantidomain(B))) -> zero
% 141.59/141.67  collapsed.
% 141.59/141.67  Rule
% 141.59/141.67  [1780]
% 141.59/141.67  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 141.59/141.67                                                   coantidomain(B))) -> zero
% 141.59/141.67  collapsed.
% 141.59/141.67  Current number of equations to process: 944
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1203
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2071]
% 141.59/141.67  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 141.59/141.67                                                   codomain(B))) -> zero
% 141.59/141.67  Current number of equations to process: 1011
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1204
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2072]
% 141.59/141.67  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(
% 141.59/141.67                                                                    coantidomain(B),X0)))
% 141.59/141.67  -> zero
% 141.59/141.67  Current number of equations to process: 1060
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1205
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2073]
% 141.59/141.67  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 141.59/141.67                                               coantidomain(B))) -> zero
% 141.59/141.67  Current number of equations to process: 1122
% 141.59/141.67  Current number of ordered equations: 0
% 141.59/141.67  Current number of rules: 1206
% 141.59/141.67  New rule produced :
% 141.59/141.67  [2074]
% 141.59/141.67  multiplication(multiplication(A,multiplication(coantidomain(B),C)),coantidomain(
% 145.41/145.49                                                                     multiplication(A,C)))
% 145.41/145.49  -> zero
% 145.41/145.49  Current number of equations to process: 1231
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1207
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2075]
% 145.41/145.49  multiplication(coantidomain(backward_diamond(A,B)),multiplication(coantidomain(C),
% 145.41/145.49                                                     backward_diamond(A,B))) ->
% 145.41/145.49  zero
% 145.41/145.49  Current number of equations to process: 1230
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1208
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2076] forward_diamond(codomain(A),coantidomain(A)) -> zero
% 145.41/145.49  Rule [1467] c(forward_diamond(codomain(A),coantidomain(A))) -> one collapsed.
% 145.41/145.49  Current number of equations to process: 1341
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1208
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2077]
% 145.41/145.49  forward_diamond(coantidomain(backward_diamond(A,B)),backward_diamond(A,B)) ->
% 145.41/145.49  zero
% 145.41/145.49  Current number of equations to process: 1343
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1209
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2078]
% 145.41/145.49  forward_diamond(multiplication(multiplication(A,c(B)),codomain(C)),B) -> zero
% 145.41/145.49  Rule
% 145.41/145.49  [1715]
% 145.41/145.49  forward_diamond(multiplication(multiplication(codomain(A),c(B)),codomain(C)),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Rule
% 145.41/145.49  [1720]
% 145.41/145.49  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Current number of equations to process: 1362
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1208
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2079]
% 145.41/145.49  forward_diamond(multiplication(multiplication(A,c(B)),coantidomain(C)),B) ->
% 145.41/145.49  zero
% 145.41/145.49  Rule
% 145.41/145.49  [1779]
% 145.41/145.49  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Rule
% 145.41/145.49  [1783]
% 145.41/145.49  forward_diamond(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Current number of equations to process: 1361
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1207
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2080] forward_diamond(multiplication(multiplication(A,c(B)),c(C)),B) -> zero
% 145.41/145.49  Current number of equations to process: 1399
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1208
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2081]
% 145.41/145.49  forward_diamond(multiplication(A,multiplication(c(B),codomain(C))),B) -> zero
% 145.41/145.49  Rule
% 145.41/145.49  [1738]
% 145.41/145.49  forward_diamond(multiplication(codomain(A),multiplication(c(B),codomain(C))),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Rule
% 145.41/145.49  [1799]
% 145.41/145.49  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Current number of equations to process: 1400
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1207
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2082]
% 145.41/145.49  forward_diamond(multiplication(A,multiplication(c(B),coantidomain(C))),B) ->
% 145.41/145.49  zero
% 145.41/145.49  Rule
% 145.41/145.49  [1741]
% 145.41/145.49  forward_diamond(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Rule
% 145.41/145.49  [1798]
% 145.41/145.49  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),B)
% 145.41/145.49  -> zero collapsed.
% 145.41/145.49  Current number of equations to process: 1402
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1206
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2083]
% 145.41/145.49  forward_diamond(forward_diamond(A,B),forward_diamond(A,B)) ->
% 145.41/145.49  forward_diamond(A,B)
% 145.41/145.49  Current number of equations to process: 1513
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1207
% 145.41/145.49  New rule produced : [2084] c(forward_diamond(c(A),c(A))) -> c(c(A))
% 145.41/145.49  Current number of equations to process: 1515
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1208
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2085]
% 145.41/145.49  forward_diamond(multiplication(multiplication(A,c(B)),forward_diamond(C,X0)),B)
% 145.41/145.49  -> zero
% 145.41/145.49  Current number of equations to process: 1624
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1209
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2086]
% 145.41/145.49  forward_diamond(multiplication(multiplication(A,c(B)),backward_diamond(C,X0)),B)
% 145.41/145.49  -> zero
% 145.41/145.49  Current number of equations to process: 1623
% 145.41/145.49  Current number of ordered equations: 0
% 145.41/145.49  Current number of rules: 1210
% 145.41/145.49  New rule produced :
% 145.41/145.49  [2087]
% 145.41/145.49  leq(multiplication(multiplication(A,backward_diamond(B,C)),c(X0)),A) -> true
% 145.41/145.49  Current number of equations to process: 1622
% 145.41/145.49  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1211
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2088]
% 147.71/147.77  leq(multiplication(multiplication(backward_diamond(A,B),C),c(X0)),C) -> true
% 147.71/147.77  Current number of equations to process: 1621
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1212
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2089]
% 147.71/147.77  leq(multiplication(multiplication(coantidomain(A),codomain(B)),c(C)),one) ->
% 147.71/147.77  true
% 147.71/147.77  Current number of equations to process: 1620
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1213
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2090]
% 147.71/147.77  leq(multiplication(multiplication(codomain(A),codomain(B)),c(C)),one) -> true
% 147.71/147.77  Current number of equations to process: 1619
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1214
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2091] leq(multiplication(multiplication(c(A),codomain(B)),c(C)),one) -> true
% 147.71/147.77  Current number of equations to process: 1618
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1215
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2092]
% 147.71/147.77  leq(multiplication(multiplication(codomain(A),coantidomain(B)),c(C)),one) ->
% 147.71/147.77  true
% 147.71/147.77  Current number of equations to process: 1617
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1216
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2093] leq(multiplication(multiplication(codomain(A),c(B)),c(C)),one) -> true
% 147.71/147.77  Current number of equations to process: 1616
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1217
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2094]
% 147.71/147.77  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),c(C)),one)
% 147.71/147.77  -> true
% 147.71/147.77  Current number of equations to process: 1615
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1218
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2095]
% 147.71/147.77  leq(multiplication(multiplication(c(A),coantidomain(B)),c(C)),one) -> true
% 147.71/147.77  Current number of equations to process: 1614
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1219
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2096]
% 147.71/147.77  leq(multiplication(multiplication(coantidomain(A),c(B)),c(C)),one) -> true
% 147.71/147.77  Current number of equations to process: 1613
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1220
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2097]
% 147.71/147.77  forward_diamond(multiplication(A,multiplication(B,c(C))) addition X0,C) ->
% 147.71/147.77  forward_diamond(X0,C)
% 147.71/147.77  Current number of equations to process: 1789
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1221
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2098]
% 147.71/147.77  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),c(X0)),one)
% 147.71/147.77  -> true
% 147.71/147.77  Current number of equations to process: 1788
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1222
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2099]
% 147.71/147.77  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),c(X0)),one)
% 147.71/147.77  -> true
% 147.71/147.77  Current number of equations to process: 1787
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1223
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2100]
% 147.71/147.77  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),c(X0)),one)
% 147.71/147.77  -> true
% 147.71/147.77  Current number of equations to process: 1786
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1224
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2101]
% 147.71/147.77  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),c(X0)),one)
% 147.71/147.77  -> true
% 147.71/147.77  Current number of equations to process: 1785
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1225
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2102]
% 147.71/147.77  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 147.71/147.77      c(X0)),one) -> true
% 147.71/147.77  Current number of equations to process: 1784
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1226
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2103]
% 147.71/147.77  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 147.71/147.77      c(X0)),one) -> true
% 147.71/147.77  Current number of equations to process: 1783
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1227
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2104]
% 147.71/147.77  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 147.71/147.77      c(X0)),one) -> true
% 147.71/147.77  Current number of equations to process: 1782
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1228
% 147.71/147.77  New rule produced :
% 147.71/147.77  [2105]
% 147.71/147.77  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 147.71/147.77      c(X0)),one) -> true
% 147.71/147.77  Current number of equations to process: 1781
% 147.71/147.77  Current number of ordered equations: 0
% 147.71/147.77  Current number of rules: 1229
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2106]
% 148.08/148.16  multiplication(multiplication(A,c(B)),multiplication(c(B),C)) ->
% 148.08/148.16  multiplication(A,multiplication(c(B),C))
% 148.08/148.16  Current number of equations to process: 1778
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1230
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2107]
% 148.08/148.16  codomain(A) addition coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 148.08/148.16  -> coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 148.08/148.16  Current number of equations to process: 1777
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1231
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2108]
% 148.08/148.16  coantidomain(C) addition multiplication(codomain(C),forward_diamond(A,B)) ->
% 148.08/148.16  forward_diamond(A,B) addition coantidomain(C)
% 148.08/148.16  Current number of equations to process: 1774
% 148.08/148.16  Current number of ordered equations: 1
% 148.08/148.16  Current number of rules: 1232
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2109]
% 148.08/148.16  codomain(C) addition multiplication(coantidomain(C),forward_diamond(A,B)) ->
% 148.08/148.16  forward_diamond(A,B) addition codomain(C)
% 148.08/148.16  Current number of equations to process: 1774
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1233
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2110]
% 148.08/148.16  coantidomain(C) addition multiplication(forward_diamond(A,B),codomain(C)) ->
% 148.08/148.16  forward_diamond(A,B) addition coantidomain(C)
% 148.08/148.16  Current number of equations to process: 1772
% 148.08/148.16  Current number of ordered equations: 1
% 148.08/148.16  Current number of rules: 1234
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2111]
% 148.08/148.16  codomain(C) addition multiplication(forward_diamond(A,B),coantidomain(C)) ->
% 148.08/148.16  forward_diamond(A,B) addition codomain(C)
% 148.08/148.16  Current number of equations to process: 1772
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1235
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2112]
% 148.08/148.16  coantidomain(C) addition multiplication(codomain(C),backward_diamond(A,B)) ->
% 148.08/148.16  backward_diamond(A,B) addition coantidomain(C)
% 148.08/148.16  Current number of equations to process: 1768
% 148.08/148.16  Current number of ordered equations: 1
% 148.08/148.16  Current number of rules: 1236
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2113]
% 148.08/148.16  codomain(C) addition multiplication(coantidomain(C),backward_diamond(A,B)) ->
% 148.08/148.16  backward_diamond(A,B) addition codomain(C)
% 148.08/148.16  Current number of equations to process: 1768
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1237
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2114]
% 148.08/148.16  coantidomain(C) addition multiplication(backward_diamond(A,B),codomain(C)) ->
% 148.08/148.16  backward_diamond(A,B) addition coantidomain(C)
% 148.08/148.16  Current number of equations to process: 1767
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1238
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2115]
% 148.08/148.16  leq(backward_diamond(sK5_goals_X1,multiplication(c(sK4_goals_X2),c(c(sK3_goals_X3)))),
% 148.08/148.16  c(c(sK2_goals_X4))) -> true
% 148.08/148.16  Current number of equations to process: 1760
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1239
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2116] c(forward_diamond(A,B)) addition c(c(multiplication(A,B))) -> one
% 148.08/148.16  Current number of equations to process: 1759
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1240
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2117]
% 148.08/148.16  forward_diamond(multiplication(A,c(forward_diamond(B,C))),multiplication(B,
% 148.08/148.16                                                            c(c(C)))) -> zero
% 148.08/148.16  Current number of equations to process: 1758
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1241
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2118]
% 148.08/148.16  forward_diamond(multiplication(multiplication(A,c(forward_diamond(B,C))),B),C)
% 148.08/148.16  -> zero
% 148.08/148.16  Current number of equations to process: 1757
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1242
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2119]
% 148.08/148.16  multiplication(c(multiplication(multiplication(A,B),C)),multiplication(A,
% 148.08/148.16                                                          multiplication(B,C)))
% 148.08/148.16  -> zero
% 148.08/148.16  Current number of equations to process: 1756
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1243
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2120]
% 148.08/148.16  multiplication(c(multiplication(A,B)),multiplication(A,multiplication(
% 148.08/148.16                                                         multiplication(B,C),X0)))
% 148.08/148.16  -> zero
% 148.08/148.16  Current number of equations to process: 1755
% 148.08/148.16  Current number of ordered equations: 0
% 148.08/148.16  Current number of rules: 1244
% 148.08/148.16  New rule produced :
% 148.08/148.16  [2121]
% 148.08/148.16  multiplication(multiplication(multiplication(A,c(multiplication(B,C))),B),
% 148.49/148.60  multiplication(C,X0)) -> zero
% 148.49/148.60  Current number of equations to process: 1754
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1245
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2122]
% 148.49/148.60  multiplication(multiplication(c(multiplication(A,B)),A),multiplication(
% 148.49/148.60                                                          multiplication(B,C),X0))
% 148.49/148.60  -> zero
% 148.49/148.60  Current number of equations to process: 1753
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1246
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2123]
% 148.49/148.60  multiplication(multiplication(A,c(multiplication(B,C))),multiplication(B,
% 148.49/148.60                                                          multiplication(C,X0)))
% 148.49/148.60  -> zero
% 148.49/148.60  Current number of equations to process: 1752
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1247
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2124]
% 148.49/148.60  forward_diamond(multiplication(A,B),C) addition c(forward_diamond(A,multiplication(B,
% 148.49/148.60                                                                      c(
% 148.49/148.60                                                                      c(C)))))
% 148.49/148.60  -> one
% 148.49/148.60  Current number of equations to process: 1751
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1248
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2125]
% 148.49/148.60  multiplication(multiplication(A,forward_diamond(B,C)),c(forward_diamond(B,C)))
% 148.49/148.60  -> zero
% 148.49/148.60  Current number of equations to process: 1754
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1249
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2126]
% 148.49/148.60  multiplication(forward_diamond(A,B),multiplication(c(forward_diamond(A,B)),C))
% 148.49/148.60  -> zero
% 148.49/148.60  Current number of equations to process: 1752
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1250
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2127]
% 148.49/148.60  multiplication(A,forward_diamond(B,C)) addition multiplication(A,c(forward_diamond(B,C)))
% 148.49/148.60  -> A
% 148.49/148.60  Current number of equations to process: 1750
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1251
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2128]
% 148.49/148.60  multiplication(forward_diamond(B,C),A) addition multiplication(c(forward_diamond(B,C)),A)
% 148.49/148.60  -> A
% 148.49/148.60  Current number of equations to process: 1749
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1252
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2129]
% 148.49/148.60  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 148.49/148.60                                                          multiplication(C,X0),X1))
% 148.49/148.60  -> zero
% 148.49/148.60  Current number of equations to process: 1748
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1253
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2130]
% 148.49/148.60  multiplication(multiplication(A,c(B)),multiplication(multiplication(multiplication(B,C),X0),X1))
% 148.49/148.60  -> zero
% 148.49/148.60  Current number of equations to process: 1747
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1254
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2131]
% 148.49/148.60  multiplication(multiplication(A,multiplication(B,multiplication(C,c(X0)))),
% 148.49/148.60  multiplication(X0,X1)) -> zero
% 148.49/148.60  Current number of equations to process: 1746
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1255
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2132]
% 148.49/148.60  multiplication(multiplication(A,multiplication(c(multiplication(B,C)),B)),
% 148.49/148.60  multiplication(C,X0)) -> zero
% 148.49/148.60  Current number of equations to process: 1745
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1256
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2133]
% 148.49/148.60  leq(forward_diamond(A,B) addition multiplication(C,c(X0)),one addition C) ->
% 148.49/148.60  true
% 148.49/148.60  Current number of equations to process: 1744
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1257
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2134]
% 148.49/148.60  leq(forward_diamond(A,B) addition multiplication(c(C),X0),one addition X0) ->
% 148.49/148.60  true
% 148.49/148.60  Current number of equations to process: 1743
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1258
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2135]
% 148.49/148.60  leq(backward_diamond(A,B) addition multiplication(C,c(X0)),one addition C) ->
% 148.49/148.60  true
% 148.49/148.60  Current number of equations to process: 1742
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1259
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2136]
% 148.49/148.60  leq(backward_diamond(A,B) addition multiplication(c(C),X0),one addition X0)
% 148.49/148.60  -> true
% 148.49/148.60  Current number of equations to process: 1741
% 148.49/148.60  Current number of ordered equations: 0
% 148.49/148.60  Current number of rules: 1260
% 148.49/148.60  New rule produced :
% 148.49/148.60  [2137]
% 148.49/148.60  forward_diamond(multiplication(A,c(forward_diamond(B,c(C)))),multiplication(B,
% 148.89/149.02                                                               c(C))) -> zero
% 148.89/149.02  Current number of equations to process: 1740
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1261
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2138]
% 148.89/149.02  leq(multiplication(A,multiplication(B,c(C))),multiplication(A,B) addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1739
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1262
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2139]
% 148.89/149.02  multiplication(multiplication(multiplication(A,c(coantidomain(B))),C),
% 148.89/149.02  coantidomain(backward_diamond(C,B))) -> zero
% 148.89/149.02  Current number of equations to process: 1738
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1263
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2140]
% 148.89/149.02  leq(multiplication(multiplication(c(A),B),C),multiplication(B,C) addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1737
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1264
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2141]
% 148.89/149.02  multiplication(multiplication(A,c(coantidomain(B))),multiplication(C,
% 148.89/149.02                                                      coantidomain(backward_diamond(C,B))))
% 148.89/149.02  -> zero
% 148.89/149.02  Current number of equations to process: 1736
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1265
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2142]
% 148.89/149.02  leq(codomain(A) addition multiplication(c(B),coantidomain(C)),one addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1735
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1266
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2143]
% 148.89/149.02  leq(coantidomain(A) addition multiplication(c(B),coantidomain(C)),one addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1734
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1267
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2144]
% 148.89/149.02  leq(c(A) addition multiplication(c(B),coantidomain(C)),one addition X0) ->
% 148.89/149.02  true
% 148.89/149.02  Current number of equations to process: 1733
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1268
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2145]
% 148.89/149.02  leq(codomain(A) addition multiplication(coantidomain(B),c(C)),one addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1732
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1269
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2146]
% 148.89/149.02  leq(coantidomain(A) addition multiplication(coantidomain(B),c(C)),one addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1731
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1270
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2147]
% 148.89/149.02  leq(c(A) addition multiplication(coantidomain(B),c(C)),one addition X0) ->
% 148.89/149.02  true
% 148.89/149.02  Current number of equations to process: 1730
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1271
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2148]
% 148.89/149.02  leq(multiplication(forward_diamond(A,B),c(C)) addition X0,one addition X0) ->
% 148.89/149.02  true
% 148.89/149.02  Current number of equations to process: 1729
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1272
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2149]
% 148.89/149.02  leq(multiplication(backward_diamond(A,B),c(C)) addition X0,one addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1728
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1273
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2150]
% 148.89/149.02  leq(multiplication(c(A),forward_diamond(B,C)) addition X0,one addition X0) ->
% 148.89/149.02  true
% 148.89/149.02  Current number of equations to process: 1727
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1274
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2151]
% 148.89/149.02  leq(multiplication(c(A),backward_diamond(B,C)) addition X0,one addition X0)
% 148.89/149.02  -> true
% 148.89/149.02  Current number of equations to process: 1726
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1275
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2152] leq(c(A) addition B,codomain(c(A)) addition B addition C) -> true
% 148.89/149.02  Current number of equations to process: 1725
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1276
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2153]
% 148.89/149.02  leq(c(codomain(A)) addition B,coantidomain(A) addition B addition C) -> true
% 148.89/149.02  Current number of equations to process: 1724
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1277
% 148.89/149.02  New rule produced :
% 148.89/149.02  [2154]
% 148.89/149.02  leq(c(coantidomain(A)) addition B,codomain(A) addition B addition C) -> true
% 148.89/149.02  Current number of equations to process: 1723
% 148.89/149.02  Current number of ordered equations: 0
% 148.89/149.02  Current number of rules: 1278
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2155]
% 149.08/149.18  multiplication(multiplication(c(coantidomain(A)),B),multiplication(coantidomain(
% 149.08/149.18                                                                     backward_diamond(B,A)),C))
% 149.08/149.18  -> zero
% 149.08/149.18  Current number of equations to process: 1722
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1279
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2156]
% 149.08/149.18  multiplication(multiplication(c(multiplication(A,B) addition C),A),multiplication(B,X0))
% 149.08/149.18  -> zero
% 149.08/149.18  Current number of equations to process: 1721
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1280
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2157]
% 149.08/149.18  multiplication(c(multiplication(A,B) addition C),multiplication(A,multiplication(B,X0)))
% 149.08/149.18  -> zero
% 149.08/149.18  Current number of equations to process: 1720
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1281
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2158]
% 149.08/149.18  c(forward_diamond(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 149.08/149.18                                                                     codomain(B),C),
% 149.08/149.18                                                      c(c(X0))))) -> one
% 149.08/149.18  Current number of equations to process: 1717
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1282
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2159]
% 149.08/149.18  backward_diamond(multiplication(coantidomain(backward_diamond(A,coantidomain(B))),C),
% 149.08/149.18  multiplication(coantidomain(B),A)) -> zero
% 149.08/149.18  Current number of equations to process: 1714
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1283
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2160]
% 149.08/149.18  leq(multiplication(coantidomain(multiplication(A,B)),c(C)),coantidomain(
% 149.08/149.18                                                             backward_diamond(B,A)))
% 149.08/149.18  -> true
% 149.08/149.18  Current number of equations to process: 1711
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1284
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2161]
% 149.08/149.18  leq(multiplication(coantidomain(multiplication(A,B)),codomain(C)),coantidomain(
% 149.08/149.18                                                                    backward_diamond(B,A)))
% 149.08/149.18  -> true
% 149.08/149.18  Current number of equations to process: 1710
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1285
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2162]
% 149.08/149.18  leq(multiplication(coantidomain(multiplication(A,B)),coantidomain(C)),
% 149.08/149.18  coantidomain(backward_diamond(B,A))) -> true
% 149.08/149.18  Current number of equations to process: 1709
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1286
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2163]
% 149.08/149.18  leq(multiplication(c(A),coantidomain(multiplication(B,C))),coantidomain(
% 149.08/149.18                                                             backward_diamond(C,B)))
% 149.08/149.18  -> true
% 149.08/149.18  Current number of equations to process: 1708
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1287
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2164]
% 149.08/149.18  leq(multiplication(codomain(A),coantidomain(multiplication(B,C))),coantidomain(
% 149.08/149.18                                                                    backward_diamond(C,B)))
% 149.08/149.18  -> true
% 149.08/149.18  Current number of equations to process: 1707
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1288
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2165]
% 149.08/149.18  leq(multiplication(coantidomain(A),coantidomain(multiplication(B,C))),
% 149.08/149.18  coantidomain(backward_diamond(C,B))) -> true
% 149.08/149.18  Current number of equations to process: 1706
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1289
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2166]
% 149.08/149.18  multiplication(c(coantidomain(backward_diamond(A,B)) addition C),coantidomain(
% 149.08/149.18                                                                   multiplication(B,A)))
% 149.08/149.18  -> zero
% 149.08/149.18  Current number of equations to process: 1705
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1290
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2167]
% 149.08/149.18  multiplication(coantidomain(multiplication(A,B)),coantidomain(coantidomain(
% 149.08/149.18                                                                backward_diamond(B,A)) addition C))
% 149.08/149.18  -> zero
% 149.08/149.18  Current number of equations to process: 1704
% 149.08/149.18  Current number of ordered equations: 0
% 149.08/149.18  Current number of rules: 1291
% 149.08/149.18  New rule produced :
% 149.08/149.18  [2168]
% 149.08/149.18  codomain(c(codomain(A))) addition coantidomain(backward_diamond(coantidomain(A),
% 149.08/149.18                                                 c(codomain(A)))) -> one
% 149.08/149.18  Current number of equations to process: 1701
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1292
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2169]
% 149.29/149.37  codomain(c(coantidomain(A))) addition coantidomain(backward_diamond(codomain(A),
% 149.29/149.37                                                     c(coantidomain(A)))) ->
% 149.29/149.37  one
% 149.29/149.37  Current number of equations to process: 1700
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1293
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2170]
% 149.29/149.37  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(
% 149.29/149.37                                                      codomain(B),multiplication(A,B)))
% 149.29/149.37  -> one
% 149.29/149.37  Current number of equations to process: 1698
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1294
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2171]
% 149.29/149.37  leq(coantidomain(c(codomain(A))),coantidomain(backward_diamond(coantidomain(A),
% 149.29/149.37                                                c(codomain(A))))) -> true
% 149.29/149.37  Current number of equations to process: 1697
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1295
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2172]
% 149.29/149.37  leq(coantidomain(c(coantidomain(A))),coantidomain(backward_diamond(codomain(A),
% 149.29/149.37                                                    c(coantidomain(A))))) ->
% 149.29/149.37  true
% 149.29/149.37  Current number of equations to process: 1696
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1296
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2173]
% 149.29/149.37  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(codomain(B),
% 149.29/149.37                                                     multiplication(A,B)))) ->
% 149.29/149.37  true
% 149.29/149.37  Current number of equations to process: 1695
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1297
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2174]
% 149.29/149.37  multiplication(A,multiplication(B,forward_diamond(C,X0))) addition multiplication(A,B)
% 149.29/149.37  -> multiplication(A,B)
% 149.29/149.37  Current number of equations to process: 1694
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1298
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2175]
% 149.29/149.37  multiplication(multiplication(A,forward_diamond(C,X0)),B) addition multiplication(A,B)
% 149.29/149.37  -> multiplication(A,B)
% 149.29/149.37  Current number of equations to process: 1693
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1299
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2176]
% 149.29/149.37  leq(c(A) addition multiplication(B,forward_diamond(C,X0)),one addition B) ->
% 149.29/149.37  true
% 149.29/149.37  Current number of equations to process: 1688
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1300
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2177]
% 149.29/149.37  leq(codomain(A) addition multiplication(B,forward_diamond(C,X0)),one addition B)
% 149.29/149.37  -> true
% 149.29/149.37  Current number of equations to process: 1687
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1301
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2178]
% 149.29/149.37  leq(coantidomain(A) addition multiplication(B,forward_diamond(C,X0)),
% 149.29/149.37  one addition B) -> true
% 149.29/149.37  Current number of equations to process: 1686
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1302
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2179]
% 149.29/149.37  leq(multiplication(multiplication(A,forward_diamond(B,C)),c(X0)),A addition X1)
% 149.29/149.37  -> true
% 149.29/149.37  Current number of equations to process: 1684
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1303
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2180]
% 149.29/149.37  leq(multiplication(A,forward_diamond(B,C)) addition multiplication(A,c(X0)),A)
% 149.29/149.37  -> true
% 149.29/149.37  Current number of equations to process: 1682
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1304
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2181]
% 149.29/149.37  leq(multiplication(multiplication(A,forward_diamond(B,C)),codomain(X0)),
% 149.29/149.37  A addition X1) -> true
% 149.29/149.37  Current number of equations to process: 1681
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1305
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2182]
% 149.29/149.37  leq(multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)),
% 149.29/149.37  A addition X1) -> true
% 149.29/149.37  Current number of equations to process: 1680
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1306
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2183]
% 149.29/149.37  leq(multiplication(A,forward_diamond(B,C)) addition multiplication(A,
% 149.29/149.37                                                      codomain(X0)),A) -> true
% 149.29/149.37  Current number of equations to process: 1678
% 149.29/149.37  Current number of ordered equations: 0
% 149.29/149.37  Current number of rules: 1307
% 149.29/149.37  New rule produced :
% 149.29/149.37  [2184]
% 149.29/149.37  leq(multiplication(A,forward_diamond(B,C)) addition multiplication(A,
% 149.29/149.37                                                      coantidomain(X0)),A) ->
% 149.61/149.74  true
% 149.61/149.74  Current number of equations to process: 1676
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1308
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2185]
% 149.61/149.74  leq(multiplication(c(A),multiplication(B,forward_diamond(C,X0))),B addition X1)
% 149.61/149.74  -> true
% 149.61/149.74  Current number of equations to process: 1675
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1309
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2186]
% 149.61/149.74  leq(multiplication(c(A),B) addition multiplication(B,forward_diamond(C,X0)),B)
% 149.61/149.74  -> true
% 149.61/149.74  Current number of equations to process: 1673
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1310
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2187]
% 149.61/149.74  leq(multiplication(codomain(A),multiplication(B,forward_diamond(C,X0))),
% 149.61/149.74  B addition X1) -> true
% 149.61/149.74  Current number of equations to process: 1672
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1311
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2188]
% 149.61/149.74  leq(multiplication(coantidomain(A),multiplication(B,forward_diamond(C,X0))),
% 149.61/149.74  B addition X1) -> true
% 149.61/149.74  Current number of equations to process: 1671
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1312
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2189]
% 149.61/149.74  leq(multiplication(codomain(A),B) addition multiplication(B,forward_diamond(C,X0)),B)
% 149.61/149.74  -> true
% 149.61/149.74  Current number of equations to process: 1669
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1313
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2190]
% 149.61/149.74  leq(multiplication(coantidomain(A),B) addition multiplication(B,forward_diamond(C,X0)),B)
% 149.61/149.74  -> true
% 149.61/149.74  Current number of equations to process: 1667
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1314
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2191]
% 149.61/149.74  multiplication(multiplication(forward_diamond(A,B),C),X0) addition multiplication(C,X0)
% 149.61/149.74  -> multiplication(C,X0)
% 149.61/149.74  Current number of equations to process: 1664
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1315
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2192]
% 149.61/149.74  multiplication(A,multiplication(forward_diamond(C,X0),B)) addition multiplication(A,B)
% 149.61/149.74  -> multiplication(A,B)
% 149.61/149.74  Current number of equations to process: 1663
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1316
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2193]
% 149.61/149.74  leq(c(A) addition multiplication(forward_diamond(B,C),X0),one addition X0) ->
% 149.61/149.74  true
% 149.61/149.74  Current number of equations to process: 1660
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1317
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2194]
% 149.61/149.74  leq(codomain(A) addition multiplication(forward_diamond(B,C),X0),one addition X0)
% 149.61/149.74  -> true
% 149.61/149.74  Current number of equations to process: 1659
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1318
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2195]
% 149.61/149.74  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),X0),
% 149.61/149.74  one addition X0) -> true
% 149.61/149.74  Current number of equations to process: 1658
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1319
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2196]
% 149.61/149.74  leq(multiplication(multiplication(forward_diamond(A,B),C),c(X0)),C addition X1)
% 149.61/149.74  -> true
% 149.61/149.74  Current number of equations to process: 1656
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1320
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2197]
% 149.61/149.74  leq(multiplication(forward_diamond(A,B),C) addition multiplication(C,c(X0)),C)
% 149.61/149.74  -> true
% 149.61/149.74  Current number of equations to process: 1654
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1321
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2198]
% 149.61/149.74  leq(multiplication(multiplication(forward_diamond(A,B),C),codomain(X0)),
% 149.61/149.74  C addition X1) -> true
% 149.61/149.74  Current number of equations to process: 1653
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1322
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2199]
% 149.61/149.74  leq(multiplication(multiplication(forward_diamond(A,B),C),coantidomain(X0)),
% 149.61/149.74  C addition X1) -> true
% 149.61/149.74  Current number of equations to process: 1652
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1323
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2200]
% 149.61/149.74  leq(multiplication(forward_diamond(A,B),C) addition multiplication(C,
% 149.61/149.74                                                      codomain(X0)),C) -> true
% 149.61/149.74  Current number of equations to process: 1650
% 149.61/149.74  Current number of ordered equations: 0
% 149.61/149.74  Current number of rules: 1324
% 149.61/149.74  New rule produced :
% 149.61/149.74  [2201]
% 149.61/149.74  leq(multiplication(forward_diamond(A,B),C) addition multiplication(C,
% 150.19/150.26                                                      coantidomain(X0)),C) ->
% 150.19/150.26  true
% 150.19/150.26  Current number of equations to process: 1648
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1325
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2202]
% 150.19/150.26  leq(multiplication(c(A),multiplication(forward_diamond(B,C),X0)),X0 addition X1)
% 150.19/150.26  -> true
% 150.19/150.26  Current number of equations to process: 1647
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1326
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2203]
% 150.19/150.26  leq(multiplication(forward_diamond(A,B),C) addition multiplication(c(X0),C),C)
% 150.19/150.26  -> true
% 150.19/150.26  Current number of equations to process: 1645
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1327
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2204]
% 150.19/150.26  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),X0)),
% 150.19/150.26  X0 addition X1) -> true
% 150.19/150.26  Current number of equations to process: 1644
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1328
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2205]
% 150.19/150.26  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),X0)),
% 150.19/150.26  X0 addition X1) -> true
% 150.19/150.26  Current number of equations to process: 1643
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1329
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2206]
% 150.19/150.26  leq(multiplication(forward_diamond(A,B),C) addition multiplication(codomain(X0),C),C)
% 150.19/150.26  -> true
% 150.19/150.26  Current number of equations to process: 1641
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1330
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2207]
% 150.19/150.26  leq(multiplication(forward_diamond(A,B),C) addition multiplication(coantidomain(X0),C),C)
% 150.19/150.26  -> true
% 150.19/150.26  Current number of equations to process: 1639
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1331
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2208]
% 150.19/150.26  multiplication(A,multiplication(B,backward_diamond(C,X0))) addition multiplication(A,B)
% 150.19/150.26  -> multiplication(A,B)
% 150.19/150.26  Current number of equations to process: 1593
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1332
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2209]
% 150.19/150.26  multiplication(multiplication(A,backward_diamond(C,X0)),B) addition multiplication(A,B)
% 150.19/150.26  -> multiplication(A,B)
% 150.19/150.26  Current number of equations to process: 1592
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1333
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2210]
% 150.19/150.26  leq(codomain(A) addition multiplication(B,backward_diamond(C,X0)),one addition B)
% 150.19/150.26  -> true
% 150.19/150.26  Current number of equations to process: 1590
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1334
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2211]
% 150.19/150.26  leq(coantidomain(A) addition multiplication(B,backward_diamond(C,X0)),
% 150.19/150.26  one addition B) -> true
% 150.19/150.26  Current number of equations to process: 1589
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1335
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2212]
% 150.19/150.26  leq(c(A) addition multiplication(B,backward_diamond(C,X0)),one addition B) ->
% 150.19/150.26  true
% 150.19/150.26  Current number of equations to process: 1588
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1336
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2213]
% 150.19/150.26  leq(multiplication(multiplication(A,backward_diamond(B,C)),codomain(X0)),
% 150.19/150.26  A addition X1) -> true
% 150.19/150.26  Current number of equations to process: 1587
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1337
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2214]
% 150.19/150.26  leq(multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)),
% 150.19/150.26  A addition X1) -> true
% 150.19/150.26  Current number of equations to process: 1586
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1338
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2215]
% 150.19/150.26  leq(multiplication(A,backward_diamond(B,C)) addition multiplication(A,
% 150.19/150.26                                                       codomain(X0)),A) -> true
% 150.19/150.26  Current number of equations to process: 1584
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1339
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2216]
% 150.19/150.26  leq(multiplication(A,backward_diamond(B,C)) addition multiplication(A,
% 150.19/150.26                                                       coantidomain(X0)),A) ->
% 150.19/150.26  true
% 150.19/150.26  Current number of equations to process: 1582
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1340
% 150.19/150.26  New rule produced :
% 150.19/150.26  [2217]
% 150.19/150.26  leq(multiplication(codomain(A),multiplication(B,backward_diamond(C,X0))),
% 150.19/150.26  B addition X1) -> true
% 150.19/150.26  Current number of equations to process: 1581
% 150.19/150.26  Current number of ordered equations: 0
% 150.19/150.26  Current number of rules: 1341
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2218]
% 150.72/150.82  leq(multiplication(coantidomain(A),multiplication(B,backward_diamond(C,X0))),
% 150.72/150.82  B addition X1) -> true
% 150.72/150.82  Current number of equations to process: 1580
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1342
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2219]
% 150.72/150.82  leq(multiplication(codomain(A),B) addition multiplication(B,backward_diamond(C,X0)),B)
% 150.72/150.82  -> true
% 150.72/150.82  Current number of equations to process: 1578
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1343
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2220]
% 150.72/150.82  leq(multiplication(coantidomain(A),B) addition multiplication(B,backward_diamond(C,X0)),B)
% 150.72/150.82  -> true
% 150.72/150.82  Current number of equations to process: 1576
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1344
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2221]
% 150.72/150.82  multiplication(multiplication(backward_diamond(A,B),C),X0) addition multiplication(C,X0)
% 150.72/150.82  -> multiplication(C,X0)
% 150.72/150.82  Current number of equations to process: 1574
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1345
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2222]
% 150.72/150.82  multiplication(A,multiplication(backward_diamond(C,X0),B)) addition multiplication(A,B)
% 150.72/150.82  -> multiplication(A,B)
% 150.72/150.82  Current number of equations to process: 1573
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1346
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2223]
% 150.72/150.82  leq(codomain(A) addition multiplication(backward_diamond(B,C),X0),one addition X0)
% 150.72/150.82  -> true
% 150.72/150.82  Current number of equations to process: 1571
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1347
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2224]
% 150.72/150.82  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),X0),
% 150.72/150.82  one addition X0) -> true
% 150.72/150.82  Current number of equations to process: 1570
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1348
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2225]
% 150.72/150.82  leq(c(A) addition multiplication(backward_diamond(B,C),X0),one addition X0)
% 150.72/150.82  -> true
% 150.72/150.82  Current number of equations to process: 1569
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1349
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2226]
% 150.72/150.82  leq(multiplication(multiplication(backward_diamond(A,B),C),codomain(X0)),
% 150.72/150.82  C addition X1) -> true
% 150.72/150.82  Current number of equations to process: 1568
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1350
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2227]
% 150.72/150.82  leq(multiplication(multiplication(backward_diamond(A,B),C),coantidomain(X0)),
% 150.72/150.82  C addition X1) -> true
% 150.72/150.82  Current number of equations to process: 1567
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1351
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2228]
% 150.72/150.82  leq(multiplication(backward_diamond(A,B),C) addition multiplication(C,
% 150.72/150.82                                                       codomain(X0)),C) -> true
% 150.72/150.82  Current number of equations to process: 1565
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1352
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2229]
% 150.72/150.82  leq(multiplication(backward_diamond(A,B),C) addition multiplication(C,
% 150.72/150.82                                                       coantidomain(X0)),C) ->
% 150.72/150.82  true
% 150.72/150.82  Current number of equations to process: 1563
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1353
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2230]
% 150.72/150.82  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),X0)),
% 150.72/150.82  X0 addition X1) -> true
% 150.72/150.82  Current number of equations to process: 1562
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1354
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2231]
% 150.72/150.82  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),X0)),
% 150.72/150.82  X0 addition X1) -> true
% 150.72/150.82  Current number of equations to process: 1561
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1355
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2232]
% 150.72/150.82  leq(multiplication(backward_diamond(A,B),C) addition multiplication(codomain(X0),C),C)
% 150.72/150.82  -> true
% 150.72/150.82  Current number of equations to process: 1559
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1356
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2233]
% 150.72/150.82  leq(multiplication(backward_diamond(A,B),C) addition multiplication(coantidomain(X0),C),C)
% 150.72/150.82  -> true
% 150.72/150.82  Current number of equations to process: 1557
% 150.72/150.82  Current number of ordered equations: 0
% 150.72/150.82  Current number of rules: 1357
% 150.72/150.82  New rule produced :
% 150.72/150.82  [2234]
% 150.72/150.82  leq(multiplication(multiplication(coantidomain(A),codomain(B)),codomain(C)),
% 150.72/150.82  one addition X0) -> true
% 150.72/150.82  Current number of equations to process: 1556
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1358
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2235]
% 151.31/151.38  leq(multiplication(multiplication(coantidomain(A),codomain(B)),coantidomain(C)),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1555
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1359
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2236]
% 151.31/151.38  leq(multiplication(codomain(A),multiplication(coantidomain(B),codomain(C))),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1552
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1360
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2237]
% 151.31/151.38  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(C))),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1551
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1361
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2238]
% 151.31/151.38  leq(codomain(A) addition multiplication(codomain(B),codomain(C)),one addition X0)
% 151.31/151.38  -> true
% 151.31/151.38  Current number of equations to process: 1548
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1362
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2239]
% 151.31/151.38  leq(coantidomain(A) addition multiplication(codomain(B),codomain(C)),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1547
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1363
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2240]
% 151.31/151.38  leq(c(A) addition multiplication(codomain(B),codomain(C)),one addition X0) ->
% 151.31/151.38  true
% 151.31/151.38  Current number of equations to process: 1546
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1364
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2241]
% 151.31/151.38  leq(multiplication(multiplication(codomain(A),codomain(B)),codomain(C)),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1545
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1365
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2242]
% 151.31/151.38  leq(multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C)),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1544
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1366
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2243]
% 151.31/151.38  leq(multiplication(codomain(A),multiplication(codomain(B),codomain(C))),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1541
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1367
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2244]
% 151.31/151.38  leq(multiplication(coantidomain(A),multiplication(codomain(B),codomain(C))),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1540
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1368
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2245]
% 151.31/151.38  leq(codomain(A) addition multiplication(c(B),codomain(C)),one addition X0) ->
% 151.31/151.38  true
% 151.31/151.38  Current number of equations to process: 1537
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1369
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2246]
% 151.31/151.38  leq(coantidomain(A) addition multiplication(c(B),codomain(C)),one addition X0)
% 151.31/151.38  -> true
% 151.31/151.38  Current number of equations to process: 1536
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1370
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2247]
% 151.31/151.38  leq(c(A) addition multiplication(c(B),codomain(C)),one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1535
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1371
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2248]
% 151.31/151.38  leq(multiplication(multiplication(c(A),codomain(B)),codomain(C)),one addition X0)
% 151.31/151.38  -> true
% 151.31/151.38  Current number of equations to process: 1534
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1372
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2249]
% 151.31/151.38  leq(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1533
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1373
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2250]
% 151.31/151.38  leq(multiplication(codomain(A),multiplication(c(B),codomain(C))),one addition X0)
% 151.31/151.38  -> true
% 151.31/151.38  Current number of equations to process: 1530
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1374
% 151.31/151.38  New rule produced :
% 151.31/151.38  [2251]
% 151.31/151.38  leq(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),
% 151.31/151.38  one addition X0) -> true
% 151.31/151.38  Current number of equations to process: 1529
% 151.31/151.38  Current number of ordered equations: 0
% 151.31/151.38  Current number of rules: 1375
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2252]
% 151.80/151.91  leq(backward_diamond(A,B) addition multiplication(forward_diamond(C,X0),
% 151.80/151.91                                     codomain(X1)),one) -> true
% 151.80/151.91  Current number of equations to process: 1526
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1376
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2253]
% 151.80/151.91  leq(forward_diamond(A,B) addition multiplication(forward_diamond(C,X0),
% 151.80/151.91                                    codomain(X1)),one) -> true
% 151.80/151.91  Current number of equations to process: 1525
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1377
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2254]
% 151.80/151.91  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 151.80/151.91               forward_diamond(X0,X1)) -> one
% 151.80/151.91  Current number of equations to process: 1524
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1378
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2255]
% 151.80/151.91  one addition multiplication(forward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 151.80/151.91                                                   codomain(X1))) -> one
% 151.80/151.91  Current number of equations to process: 1523
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1379
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2256]
% 151.80/151.91  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 151.80/151.91               backward_diamond(X0,X1)) -> one
% 151.80/151.91  Current number of equations to process: 1522
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1380
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2257]
% 151.80/151.91  one addition multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 151.80/151.91                                                    codomain(X1))) -> one
% 151.80/151.91  Current number of equations to process: 1521
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1381
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2258]
% 151.80/151.91  leq(multiplication(multiplication(codomain(A),coantidomain(B)),codomain(C)),
% 151.80/151.91  one addition X0) -> true
% 151.80/151.91  Current number of equations to process: 1520
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1382
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2259]
% 151.80/151.91  leq(multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(C)),
% 151.80/151.91  one addition X0) -> true
% 151.80/151.91  Current number of equations to process: 1519
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1383
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2260]
% 151.80/151.91  leq(multiplication(codomain(A),multiplication(codomain(B),coantidomain(C))),
% 151.80/151.91  one addition X0) -> true
% 151.80/151.91  Current number of equations to process: 1516
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1384
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2261]
% 151.80/151.91  leq(multiplication(coantidomain(A),multiplication(codomain(B),coantidomain(C))),
% 151.80/151.91  one addition X0) -> true
% 151.80/151.91  Current number of equations to process: 1515
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1385
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2262]
% 151.80/151.91  leq(backward_diamond(A,B) addition multiplication(backward_diamond(C,X0),
% 151.80/151.91                                     codomain(X1)),one) -> true
% 151.80/151.91  Current number of equations to process: 1512
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1386
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2263]
% 151.80/151.91  leq(forward_diamond(A,B) addition multiplication(backward_diamond(C,X0),
% 151.80/151.91                                    codomain(X1)),one) -> true
% 151.80/151.91  Current number of equations to process: 1511
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1387
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2264]
% 151.80/151.91  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 151.80/151.91               forward_diamond(X0,X1)) -> one
% 151.80/151.91  Current number of equations to process: 1510
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1388
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2265]
% 151.80/151.91  one addition multiplication(forward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 151.80/151.91                                                   codomain(X1))) -> one
% 151.80/151.91  Current number of equations to process: 1509
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1389
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2266]
% 151.80/151.91  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 151.80/151.91               backward_diamond(X0,X1)) -> one
% 151.80/151.91  Current number of equations to process: 1508
% 151.80/151.91  Current number of ordered equations: 0
% 151.80/151.91  Current number of rules: 1390
% 151.80/151.91  New rule produced :
% 151.80/151.91  [2267]
% 151.80/151.91  one addition multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 152.41/152.44                                                    codomain(X1))) -> one
% 152.41/152.44  Current number of equations to process: 1507
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1391
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2268]
% 152.41/152.44  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 152.41/152.44  codomain(X0)) addition A -> A
% 152.41/152.44  Current number of equations to process: 1503
% 152.41/152.44  Current number of ordered equations: 1
% 152.41/152.44  Current number of rules: 1392
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2269]
% 152.41/152.44  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 152.41/152.44  codomain(X0)) addition A -> A
% 152.41/152.44  Current number of equations to process: 1503
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1393
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2270]
% 152.41/152.44  multiplication(multiplication(multiplication(codomain(A),B),codomain(C)),
% 152.41/152.44  codomain(X0)) addition B -> B
% 152.41/152.44  Current number of equations to process: 1501
% 152.41/152.44  Current number of ordered equations: 1
% 152.41/152.44  Current number of rules: 1394
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2271]
% 152.41/152.44  multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 152.41/152.44  codomain(X0)) addition B -> B
% 152.41/152.44  Current number of equations to process: 1501
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1395
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2272]
% 152.41/152.44  multiplication(codomain(B),multiplication(multiplication(A,codomain(C)),
% 152.41/152.44                             codomain(X0))) addition A -> A
% 152.41/152.44  Current number of equations to process: 1498
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1396
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2273]
% 152.41/152.44  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 152.41/152.44  coantidomain(X0)) addition A -> A
% 152.41/152.44  Current number of equations to process: 1496
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1397
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2274]
% 152.41/152.44  multiplication(coantidomain(B),multiplication(multiplication(A,codomain(C)),
% 152.41/152.44                                 codomain(X0))) addition A -> A
% 152.41/152.44  Current number of equations to process: 1494
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1398
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2275]
% 152.41/152.44  leq(multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 152.41/152.44      codomain(X0)),A) -> true
% 152.41/152.44  Current number of equations to process: 1493
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1399
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2276]
% 152.41/152.44  leq(multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 152.41/152.44      coantidomain(X0)),A) -> true
% 152.41/152.44  Current number of equations to process: 1492
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1400
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2277]
% 152.41/152.44  leq(multiplication(codomain(A),multiplication(multiplication(B,codomain(C)),
% 152.41/152.44                                 codomain(X0))),B) -> true
% 152.41/152.44  Current number of equations to process: 1491
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1401
% 152.41/152.44  New rule produced :
% 152.41/152.44  [2278]
% 152.41/152.44  leq(multiplication(coantidomain(A),multiplication(multiplication(B,codomain(C)),
% 152.41/152.44                                     codomain(X0))),B) -> true
% 152.41/152.44  Current number of equations to process: 1490
% 152.41/152.44  Current number of ordered equations: 0
% 152.41/152.44  Current number of rules: 1402
% 152.41/152.45  New rule produced :
% 152.41/152.45  [2279]
% 152.41/152.45  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 152.41/152.45  coantidomain(A addition X0)) -> zero
% 152.41/152.45  Current number of equations to process: 1489
% 152.41/152.45  Current number of ordered equations: 0
% 152.41/152.45  Current number of rules: 1403
% 152.41/152.45  New rule produced :
% 152.41/152.45  [2280]
% 152.41/152.45  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 152.41/152.45  c(X0)) addition A -> A
% 152.41/152.45  Current number of equations to process: 1487
% 152.41/152.45  Current number of ordered equations: 1
% 152.41/152.45  Current number of rules: 1404
% 152.41/152.45  New rule produced :
% 152.41/152.45  [2281]
% 152.41/152.45  multiplication(multiplication(multiplication(A,c(B)),codomain(C)),codomain(X0)) addition A
% 152.41/152.45  -> A
% 152.41/152.45  Current number of equations to process: 1487
% 152.41/152.45  Current number of ordered equations: 0
% 152.41/152.45  Current number of rules: 1405
% 152.41/152.45  New rule produced :
% 152.41/152.45  [2282]
% 152.41/152.45  multiplication(multiplication(multiplication(c(A),B),codomain(C)),codomain(X0)) addition B
% 152.41/152.45  -> B
% 152.41/152.45  Current number of equations to process: 1485
% 152.41/152.45  Current number of ordered equations: 1
% 152.41/152.45  Current number of rules: 1406
% 152.41/152.45  New rule produced :
% 152.41/152.45  [2283]
% 152.41/152.45  multiplication(c(B),multiplication(multiplication(A,codomain(C)),codomain(X0))) addition A
% 152.91/152.99  -> A
% 152.91/152.99  Current number of equations to process: 1485
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1407
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2284]
% 152.91/152.99  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 152.91/152.99  codomain(X0)) addition A -> A
% 152.91/152.99  Current number of equations to process: 1483
% 152.91/152.99  Current number of ordered equations: 1
% 152.91/152.99  Current number of rules: 1408
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2285]
% 152.91/152.99  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 152.91/152.99  codomain(X0)) addition A -> A
% 152.91/152.99  Current number of equations to process: 1483
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1409
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2286]
% 152.91/152.99  multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 152.91/152.99  codomain(X0)) addition B -> B
% 152.91/152.99  Current number of equations to process: 1481
% 152.91/152.99  Current number of ordered equations: 1
% 152.91/152.99  Current number of rules: 1410
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2287]
% 152.91/152.99  multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 152.91/152.99  codomain(X0)) addition B -> B
% 152.91/152.99  Current number of equations to process: 1481
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1411
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2288]
% 152.91/152.99  multiplication(codomain(B),multiplication(multiplication(A,coantidomain(C)),
% 152.91/152.99                             codomain(X0))) addition A -> A
% 152.91/152.99  Current number of equations to process: 1477
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1412
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2289]
% 152.91/152.99  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 152.91/152.99  coantidomain(X0)) addition A -> A
% 152.91/152.99  Current number of equations to process: 1475
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1413
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2290]
% 152.91/152.99  multiplication(coantidomain(B),multiplication(multiplication(A,coantidomain(C)),
% 152.91/152.99                                 codomain(X0))) addition A -> A
% 152.91/152.99  Current number of equations to process: 1473
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1414
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2291]
% 152.91/152.99  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 152.91/152.99      codomain(X0)),A) -> true
% 152.91/152.99  Current number of equations to process: 1472
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1415
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2292]
% 152.91/152.99  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 152.91/152.99      coantidomain(X0)),A) -> true
% 152.91/152.99  Current number of equations to process: 1471
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1416
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2293]
% 152.91/152.99  leq(multiplication(codomain(A),multiplication(multiplication(B,coantidomain(C)),
% 152.91/152.99                                 codomain(X0))),B) -> true
% 152.91/152.99  Current number of equations to process: 1470
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1417
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2294]
% 152.91/152.99  leq(multiplication(coantidomain(A),multiplication(multiplication(B,coantidomain(C)),
% 152.91/152.99                                     codomain(X0))),B) -> true
% 152.91/152.99  Current number of equations to process: 1469
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1418
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2295]
% 152.91/152.99  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 152.91/152.99  coantidomain(A addition X0)) -> zero
% 152.91/152.99  Current number of equations to process: 1468
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1419
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2296]
% 152.91/152.99  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 152.91/152.99  c(X0)) addition A -> A
% 152.91/152.99  Current number of equations to process: 1466
% 152.91/152.99  Current number of ordered equations: 1
% 152.91/152.99  Current number of rules: 1420
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2297]
% 152.91/152.99  multiplication(multiplication(multiplication(A,c(B)),coantidomain(C)),
% 152.91/152.99  codomain(X0)) addition A -> A
% 152.91/152.99  Current number of equations to process: 1466
% 152.91/152.99  Current number of ordered equations: 0
% 152.91/152.99  Current number of rules: 1421
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2298]
% 152.91/152.99  multiplication(multiplication(multiplication(c(A),B),coantidomain(C)),
% 152.91/152.99  codomain(X0)) addition B -> B
% 152.91/152.99  Current number of equations to process: 1464
% 152.91/152.99  Current number of ordered equations: 1
% 152.91/152.99  Current number of rules: 1422
% 152.91/152.99  New rule produced :
% 152.91/152.99  [2299]
% 153.46/153.51  multiplication(c(B),multiplication(multiplication(A,coantidomain(C)),
% 153.46/153.51                      codomain(X0))) addition A -> A
% 153.46/153.51  Current number of equations to process: 1464
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1423
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2300]
% 153.46/153.51  multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 153.46/153.51  codomain(X0)) addition B -> B
% 153.46/153.51  Current number of equations to process: 1462
% 153.46/153.51  Current number of ordered equations: 1
% 153.46/153.51  Current number of rules: 1424
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2301]
% 153.46/153.51  multiplication(multiplication(codomain(A),multiplication(B,codomain(C))),
% 153.46/153.51  codomain(X0)) addition B -> B
% 153.46/153.51  Current number of equations to process: 1462
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1425
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2302]
% 153.46/153.51  multiplication(multiplication(codomain(A),multiplication(codomain(B),C)),
% 153.46/153.51  codomain(X0)) addition C -> C
% 153.46/153.51  Current number of equations to process: 1460
% 153.46/153.51  Current number of ordered equations: 1
% 153.46/153.51  Current number of rules: 1426
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2303]
% 153.46/153.51  multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 153.46/153.51  codomain(X0)) addition C -> C
% 153.46/153.51  Current number of equations to process: 1460
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1427
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2304]
% 153.46/153.51  multiplication(codomain(B),multiplication(multiplication(codomain(C),A),
% 153.46/153.51                             codomain(X0))) addition A -> A
% 153.46/153.51  Current number of equations to process: 1456
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1428
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2305]
% 153.46/153.51  multiplication(multiplication(multiplication(codomain(B),A),codomain(C)),
% 153.46/153.51  coantidomain(X0)) addition A -> A
% 153.46/153.51  Current number of equations to process: 1454
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1429
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2306]
% 153.46/153.51  multiplication(coantidomain(B),multiplication(multiplication(codomain(C),A),
% 153.46/153.51                                 codomain(X0))) addition A -> A
% 153.46/153.51  Current number of equations to process: 1452
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1430
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2307]
% 153.46/153.51  leq(multiplication(multiplication(multiplication(codomain(A),B),codomain(C)),
% 153.46/153.51      codomain(X0)),B) -> true
% 153.46/153.51  Current number of equations to process: 1451
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1431
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2308]
% 153.46/153.51  leq(multiplication(multiplication(multiplication(codomain(A),B),codomain(C)),
% 153.46/153.51      coantidomain(X0)),B) -> true
% 153.46/153.51  Current number of equations to process: 1450
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1432
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2309]
% 153.46/153.51  leq(multiplication(codomain(A),multiplication(multiplication(codomain(B),C),
% 153.46/153.51                                 codomain(X0))),C) -> true
% 153.46/153.51  Current number of equations to process: 1449
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1433
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2310]
% 153.46/153.51  leq(multiplication(coantidomain(A),multiplication(multiplication(codomain(B),C),
% 153.46/153.51                                     codomain(X0))),C) -> true
% 153.46/153.51  Current number of equations to process: 1448
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1434
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2311]
% 153.46/153.51  multiplication(multiplication(multiplication(codomain(A),B),codomain(C)),
% 153.46/153.51  coantidomain(B addition X0)) -> zero
% 153.46/153.51  Current number of equations to process: 1447
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1435
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2312]
% 153.46/153.51  multiplication(multiplication(codomain(A),multiplication(B,c(C))),codomain(X0)) addition B
% 153.46/153.51  -> B
% 153.46/153.51  Current number of equations to process: 1445
% 153.46/153.51  Current number of ordered equations: 1
% 153.46/153.51  Current number of rules: 1436
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2313]
% 153.46/153.51  multiplication(multiplication(multiplication(codomain(B),A),codomain(C)),
% 153.46/153.51  c(X0)) addition A -> A
% 153.46/153.51  Current number of equations to process: 1445
% 153.46/153.51  Current number of ordered equations: 0
% 153.46/153.51  Current number of rules: 1437
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2314]
% 153.46/153.51  multiplication(multiplication(codomain(A),multiplication(c(B),C)),codomain(X0)) addition C
% 153.46/153.51  -> C
% 153.46/153.51  Current number of equations to process: 1443
% 153.46/153.51  Current number of ordered equations: 1
% 153.46/153.51  Current number of rules: 1438
% 153.46/153.51  New rule produced :
% 153.46/153.51  [2315]
% 153.46/153.51  multiplication(c(B),multiplication(multiplication(codomain(C),A),codomain(X0))) addition A
% 153.99/154.04  -> A
% 153.99/154.04  Current number of equations to process: 1443
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1439
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2316]
% 153.99/154.04  multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 153.99/154.04  codomain(X0)) addition B -> B
% 153.99/154.04  Current number of equations to process: 1441
% 153.99/154.04  Current number of ordered equations: 1
% 153.99/154.04  Current number of rules: 1440
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2317]
% 153.99/154.04  multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 153.99/154.04  codomain(X0)) addition B -> B
% 153.99/154.04  Current number of equations to process: 1441
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1441
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2318]
% 153.99/154.04  multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 153.99/154.04  codomain(X0)) addition C -> C
% 153.99/154.04  Current number of equations to process: 1439
% 153.99/154.04  Current number of ordered equations: 1
% 153.99/154.04  Current number of rules: 1442
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2319]
% 153.99/154.04  multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 153.99/154.04  codomain(X0)) addition C -> C
% 153.99/154.04  Current number of equations to process: 1439
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1443
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2320]
% 153.99/154.04  multiplication(codomain(B),multiplication(multiplication(coantidomain(C),A),
% 153.99/154.04                             codomain(X0))) addition A -> A
% 153.99/154.04  Current number of equations to process: 1435
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1444
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2321]
% 153.99/154.04  multiplication(multiplication(multiplication(coantidomain(B),A),codomain(C)),
% 153.99/154.04  coantidomain(X0)) addition A -> A
% 153.99/154.04  Current number of equations to process: 1433
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1445
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2322]
% 153.99/154.04  multiplication(coantidomain(B),multiplication(multiplication(coantidomain(C),A),
% 153.99/154.04                                 codomain(X0))) addition A -> A
% 153.99/154.04  Current number of equations to process: 1431
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1446
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2323]
% 153.99/154.04  leq(multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 153.99/154.04      codomain(X0)),B) -> true
% 153.99/154.04  Current number of equations to process: 1430
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1447
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2324]
% 153.99/154.04  leq(multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 153.99/154.04      coantidomain(X0)),B) -> true
% 153.99/154.04  Current number of equations to process: 1429
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1448
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2325]
% 153.99/154.04  leq(multiplication(codomain(A),multiplication(multiplication(coantidomain(B),C),
% 153.99/154.04                                 codomain(X0))),C) -> true
% 153.99/154.04  Current number of equations to process: 1428
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1449
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2326]
% 153.99/154.04  leq(multiplication(coantidomain(A),multiplication(multiplication(coantidomain(B),C),
% 153.99/154.04                                     codomain(X0))),C) -> true
% 153.99/154.04  Current number of equations to process: 1427
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1450
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2327]
% 153.99/154.04  multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 153.99/154.04  coantidomain(B addition X0)) -> zero
% 153.99/154.04  Current number of equations to process: 1426
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1451
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2328]
% 153.99/154.04  multiplication(multiplication(coantidomain(A),multiplication(B,c(C))),
% 153.99/154.04  codomain(X0)) addition B -> B
% 153.99/154.04  Current number of equations to process: 1424
% 153.99/154.04  Current number of ordered equations: 1
% 153.99/154.04  Current number of rules: 1452
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2329]
% 153.99/154.04  multiplication(multiplication(multiplication(coantidomain(B),A),codomain(C)),
% 153.99/154.04  c(X0)) addition A -> A
% 153.99/154.04  Current number of equations to process: 1424
% 153.99/154.04  Current number of ordered equations: 0
% 153.99/154.04  Current number of rules: 1453
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2330]
% 153.99/154.04  multiplication(multiplication(coantidomain(A),multiplication(c(B),C)),
% 153.99/154.04  codomain(X0)) addition C -> C
% 153.99/154.04  Current number of equations to process: 1422
% 153.99/154.04  Current number of ordered equations: 1
% 153.99/154.04  Current number of rules: 1454
% 153.99/154.04  New rule produced :
% 153.99/154.04  [2331]
% 153.99/154.04  multiplication(c(B),multiplication(multiplication(coantidomain(C),A),
% 154.51/154.58                      codomain(X0))) addition A -> A
% 154.51/154.58  Current number of equations to process: 1422
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1455
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2332]
% 154.51/154.58  leq(codomain(A) addition multiplication(codomain(B),c(C)),one addition X0) ->
% 154.51/154.58  true
% 154.51/154.58  Current number of equations to process: 1421
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1456
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2333]
% 154.51/154.58  leq(coantidomain(A) addition multiplication(codomain(B),c(C)),one addition X0)
% 154.51/154.58  -> true
% 154.51/154.58  Current number of equations to process: 1420
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1457
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2334]
% 154.51/154.58  leq(c(A) addition multiplication(codomain(B),c(C)),one addition X0) -> true
% 154.51/154.58  Current number of equations to process: 1419
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1458
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2335]
% 154.51/154.58  leq(multiplication(multiplication(codomain(A),c(B)),codomain(C)),one addition X0)
% 154.51/154.58  -> true
% 154.51/154.58  Current number of equations to process: 1418
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1459
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2336]
% 154.51/154.58  leq(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),
% 154.51/154.58  one addition X0) -> true
% 154.51/154.58  Current number of equations to process: 1417
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1460
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2337]
% 154.51/154.58  leq(multiplication(codomain(A),multiplication(codomain(B),c(C))),one addition X0)
% 154.51/154.58  -> true
% 154.51/154.58  Current number of equations to process: 1415
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1461
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2338]
% 154.51/154.58  leq(multiplication(coantidomain(A),multiplication(codomain(B),c(C))),
% 154.51/154.58  one addition X0) -> true
% 154.51/154.58  Current number of equations to process: 1414
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1462
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2339]
% 154.51/154.58  leq(backward_diamond(A,B) addition multiplication(codomain(C),forward_diamond(X0,X1)),one)
% 154.51/154.58  -> true
% 154.51/154.58  Current number of equations to process: 1411
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1463
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2340]
% 154.51/154.58  leq(forward_diamond(A,B) addition multiplication(codomain(C),forward_diamond(X0,X1)),one)
% 154.51/154.58  -> true
% 154.51/154.58  Current number of equations to process: 1410
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1464
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2341]
% 154.51/154.58  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 154.51/154.58               forward_diamond(X0,X1)) -> one
% 154.51/154.58  Current number of equations to process: 1409
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1465
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2342]
% 154.51/154.58  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 154.51/154.58                                                   forward_diamond(X0,X1))) ->
% 154.51/154.58  one
% 154.51/154.58  Current number of equations to process: 1408
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1466
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2343]
% 154.51/154.58  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 154.51/154.58               backward_diamond(X0,X1)) -> one
% 154.51/154.58  Current number of equations to process: 1407
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1467
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2344]
% 154.51/154.58  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 154.51/154.58                                                    forward_diamond(X0,X1))) ->
% 154.51/154.58  one
% 154.51/154.58  Current number of equations to process: 1406
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1468
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2345]
% 154.51/154.58  leq(backward_diamond(A,B) addition multiplication(codomain(C),backward_diamond(X0,X1)),one)
% 154.51/154.58  -> true
% 154.51/154.58  Current number of equations to process: 1405
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1469
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2346]
% 154.51/154.58  leq(forward_diamond(A,B) addition multiplication(codomain(C),backward_diamond(X0,X1)),one)
% 154.51/154.58  -> true
% 154.51/154.58  Current number of equations to process: 1404
% 154.51/154.58  Current number of ordered equations: 0
% 154.51/154.58  Current number of rules: 1470
% 154.51/154.58  New rule produced :
% 154.51/154.58  [2347]
% 154.51/154.58  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 154.51/154.58               forward_diamond(X0,X1)) -> one
% 154.51/154.58  Current number of equations to process: 1403
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1471
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2348]
% 155.02/155.11  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 155.02/155.11                                                   backward_diamond(X0,X1))) ->
% 155.02/155.11  one
% 155.02/155.11  Current number of equations to process: 1402
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1472
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2349]
% 155.02/155.11  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 155.02/155.11               backward_diamond(X0,X1)) -> one
% 155.02/155.11  Current number of equations to process: 1401
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1473
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2350]
% 155.02/155.11  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 155.02/155.11                                                    backward_diamond(X0,X1)))
% 155.02/155.11  -> one
% 155.02/155.11  Current number of equations to process: 1400
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1474
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2351]
% 155.02/155.11  multiplication(codomain(B),multiplication(codomain(C),multiplication(A,
% 155.02/155.11                                                        codomain(X0)))) addition A
% 155.02/155.11  -> A
% 155.02/155.11  Current number of equations to process: 1392
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1475
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2352]
% 155.02/155.11  multiplication(multiplication(codomain(B),multiplication(A,codomain(C))),
% 155.02/155.11  coantidomain(X0)) addition A -> A
% 155.02/155.11  Current number of equations to process: 1390
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1476
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2353]
% 155.02/155.11  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(A,
% 155.02/155.11                                                            codomain(X0)))) addition A
% 155.02/155.11  -> A
% 155.02/155.11  Current number of equations to process: 1388
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1477
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2354]
% 155.02/155.11  leq(multiplication(multiplication(codomain(A),multiplication(B,codomain(C))),
% 155.02/155.11      codomain(X0)),B) -> true
% 155.02/155.11  Current number of equations to process: 1387
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1478
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2355]
% 155.02/155.11  leq(multiplication(multiplication(codomain(A),multiplication(B,codomain(C))),
% 155.02/155.11      coantidomain(X0)),B) -> true
% 155.02/155.11  Current number of equations to process: 1386
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1479
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2356]
% 155.02/155.11  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(C,
% 155.02/155.11                                                            codomain(X0)))),C)
% 155.02/155.11  -> true
% 155.02/155.11  Current number of equations to process: 1385
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1480
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2357]
% 155.02/155.11  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(C,
% 155.02/155.11                                                                codomain(X0)))),C)
% 155.02/155.11  -> true
% 155.02/155.11  Current number of equations to process: 1384
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1481
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2358]
% 155.02/155.11  multiplication(multiplication(codomain(A),multiplication(B,codomain(C))),
% 155.02/155.11  coantidomain(B addition X0)) -> zero
% 155.02/155.11  Current number of equations to process: 1383
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1482
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2359]
% 155.02/155.11  multiplication(codomain(A),multiplication(multiplication(B,c(C)),codomain(X0))) addition B
% 155.02/155.11  -> B
% 155.02/155.11  Current number of equations to process: 1381
% 155.02/155.11  Current number of ordered equations: 1
% 155.02/155.11  Current number of rules: 1483
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2360]
% 155.02/155.11  multiplication(multiplication(codomain(B),multiplication(A,codomain(C))),
% 155.02/155.11  c(X0)) addition A -> A
% 155.02/155.11  Current number of equations to process: 1381
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1484
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2361]
% 155.02/155.11  multiplication(codomain(A),multiplication(multiplication(c(B),C),codomain(X0))) addition C
% 155.02/155.11  -> C
% 155.02/155.11  Current number of equations to process: 1379
% 155.02/155.11  Current number of ordered equations: 1
% 155.02/155.11  Current number of rules: 1485
% 155.02/155.11  New rule produced :
% 155.02/155.11  [2362]
% 155.02/155.11  multiplication(c(B),multiplication(codomain(C),multiplication(A,codomain(X0)))) addition A
% 155.02/155.11  -> A
% 155.02/155.11  Current number of equations to process: 1379
% 155.02/155.11  Current number of ordered equations: 0
% 155.02/155.11  Current number of rules: 1486
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2363]
% 155.42/155.46  multiplication(codomain(A),multiplication(multiplication(B,coantidomain(C)),
% 155.42/155.46                             coantidomain(X0))) addition B -> B
% 155.42/155.46  Current number of equations to process: 1377
% 155.42/155.46  Current number of ordered equations: 1
% 155.42/155.46  Current number of rules: 1487
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2364]
% 155.42/155.46  multiplication(codomain(A),multiplication(multiplication(B,codomain(C)),
% 155.42/155.46                             coantidomain(X0))) addition B -> B
% 155.42/155.46  Current number of equations to process: 1377
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1488
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2365]
% 155.42/155.46  multiplication(codomain(A),multiplication(multiplication(codomain(B),C),
% 155.42/155.46                             coantidomain(X0))) addition C -> C
% 155.42/155.46  Current number of equations to process: 1375
% 155.42/155.46  Current number of ordered equations: 1
% 155.42/155.46  Current number of rules: 1489
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2366]
% 155.42/155.46  multiplication(codomain(A),multiplication(multiplication(coantidomain(B),C),
% 155.42/155.46                             coantidomain(X0))) addition C -> C
% 155.42/155.46  Current number of equations to process: 1375
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1490
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2367]
% 155.42/155.46  multiplication(codomain(B),multiplication(codomain(C),multiplication(A,
% 155.42/155.46                                                        coantidomain(X0)))) addition A
% 155.42/155.46  -> A
% 155.42/155.46  Current number of equations to process: 1371
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1491
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2368]
% 155.42/155.46  multiplication(multiplication(codomain(B),multiplication(A,coantidomain(C))),
% 155.42/155.46  coantidomain(X0)) addition A -> A
% 155.42/155.46  Current number of equations to process: 1369
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1492
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2369]
% 155.42/155.46  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(A,
% 155.42/155.46                                                            coantidomain(X0)))) addition A
% 155.42/155.46  -> A
% 155.42/155.46  Current number of equations to process: 1367
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1493
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2370]
% 155.42/155.46  leq(multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 155.42/155.46      codomain(X0)),B) -> true
% 155.42/155.46  Current number of equations to process: 1366
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1494
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2371]
% 155.42/155.46  leq(multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 155.42/155.46      coantidomain(X0)),B) -> true
% 155.42/155.46  Current number of equations to process: 1365
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1495
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2372]
% 155.42/155.46  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(C,
% 155.42/155.46                                                            coantidomain(X0)))),C)
% 155.42/155.46  -> true
% 155.42/155.46  Current number of equations to process: 1364
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1496
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2373]
% 155.42/155.46  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(C,
% 155.42/155.46                                                                coantidomain(X0)))),C)
% 155.42/155.46  -> true
% 155.42/155.46  Current number of equations to process: 1363
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1497
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2374]
% 155.42/155.46  multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 155.42/155.46  coantidomain(B addition X0)) -> zero
% 155.42/155.46  Current number of equations to process: 1362
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1498
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2375]
% 155.42/155.46  multiplication(codomain(A),multiplication(multiplication(B,c(C)),coantidomain(X0))) addition B
% 155.42/155.46  -> B
% 155.42/155.46  Current number of equations to process: 1360
% 155.42/155.46  Current number of ordered equations: 1
% 155.42/155.46  Current number of rules: 1499
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2376]
% 155.42/155.46  multiplication(multiplication(codomain(B),multiplication(A,coantidomain(C))),
% 155.42/155.46  c(X0)) addition A -> A
% 155.42/155.46  Current number of equations to process: 1360
% 155.42/155.46  Current number of ordered equations: 0
% 155.42/155.46  Current number of rules: 1500
% 155.42/155.46  New rule produced :
% 155.42/155.46  [2377]
% 155.42/155.46  multiplication(codomain(A),multiplication(multiplication(c(B),C),coantidomain(X0))) addition C
% 155.42/155.46  -> C
% 155.42/155.46  Current number of equations to process: 1358
% 155.42/155.46  Current number of ordered equations: 1
% 155.42/155.46  Current number of rules: 1501
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2378]
% 155.92/155.97  multiplication(c(B),multiplication(codomain(C),multiplication(A,coantidomain(X0)))) addition A
% 155.92/155.97  -> A
% 155.92/155.97  Current number of equations to process: 1358
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1502
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2379]
% 155.92/155.97  multiplication(codomain(A),multiplication(codomain(B),multiplication(
% 155.92/155.97                                                        codomain(C),X0))) addition X0
% 155.92/155.97  -> X0
% 155.92/155.97  Current number of equations to process: 1354
% 155.92/155.97  Current number of ordered equations: 1
% 155.92/155.97  Current number of rules: 1503
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2380]
% 155.92/155.97  multiplication(codomain(A),multiplication(codomain(B),multiplication(
% 155.92/155.97                                                        coantidomain(C),X0))) addition X0
% 155.92/155.97  -> X0
% 155.92/155.97  Current number of equations to process: 1354
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1504
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2381]
% 155.92/155.97  multiplication(multiplication(codomain(B),multiplication(codomain(C),A)),
% 155.92/155.97  coantidomain(X0)) addition A -> A
% 155.92/155.97  Current number of equations to process: 1348
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1505
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2382]
% 155.92/155.97  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(
% 155.92/155.97                                                            codomain(X0),A))) addition A
% 155.92/155.97  -> A
% 155.92/155.97  Current number of equations to process: 1346
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1506
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2383]
% 155.92/155.97  leq(multiplication(multiplication(codomain(A),multiplication(codomain(B),C)),
% 155.92/155.97      codomain(X0)),C) -> true
% 155.92/155.97  Current number of equations to process: 1345
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1507
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2384]
% 155.92/155.97  leq(multiplication(multiplication(codomain(A),multiplication(codomain(B),C)),
% 155.92/155.97      coantidomain(X0)),C) -> true
% 155.92/155.97  Current number of equations to process: 1344
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1508
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2385]
% 155.92/155.97  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(
% 155.92/155.97                                                            codomain(C),X0))),X0)
% 155.92/155.97  -> true
% 155.92/155.97  Current number of equations to process: 1343
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1509
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2386]
% 155.92/155.97  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(
% 155.92/155.97                                                                codomain(C),X0))),X0)
% 155.92/155.97  -> true
% 155.92/155.97  Current number of equations to process: 1342
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1510
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2387]
% 155.92/155.97  multiplication(codomain(A),multiplication(codomain(B),multiplication(C,c(X0)))) addition C
% 155.92/155.97  -> C
% 155.92/155.97  Current number of equations to process: 1340
% 155.92/155.97  Current number of ordered equations: 1
% 155.92/155.97  Current number of rules: 1511
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2388]
% 155.92/155.97  multiplication(multiplication(codomain(B),multiplication(codomain(C),A)),
% 155.92/155.97  c(X0)) addition A -> A
% 155.92/155.97  Current number of equations to process: 1340
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1512
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2389]
% 155.92/155.97  multiplication(codomain(A),multiplication(codomain(B),multiplication(c(C),X0))) addition X0
% 155.92/155.97  -> X0
% 155.92/155.97  Current number of equations to process: 1338
% 155.92/155.97  Current number of ordered equations: 1
% 155.92/155.97  Current number of rules: 1513
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2390]
% 155.92/155.97  multiplication(c(B),multiplication(codomain(C),multiplication(codomain(X0),A))) addition A
% 155.92/155.97  -> A
% 155.92/155.97  Current number of equations to process: 1338
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1514
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2391]
% 155.92/155.97  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 155.92/155.97                                                            coantidomain(X0)))) addition C
% 155.92/155.97  -> C
% 155.92/155.97  Current number of equations to process: 1336
% 155.92/155.97  Current number of ordered equations: 1
% 155.92/155.97  Current number of rules: 1515
% 155.92/155.97  New rule produced :
% 155.92/155.97  [2392]
% 155.92/155.97  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 155.92/155.97                                                            codomain(X0)))) addition C
% 155.92/155.97  -> C
% 155.92/155.97  Current number of equations to process: 1336
% 155.92/155.97  Current number of ordered equations: 0
% 155.92/155.97  Current number of rules: 1516
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2393]
% 156.21/156.29  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 156.21/156.29                                                            codomain(C),X0))) addition X0
% 156.21/156.29  -> X0
% 156.21/156.29  Current number of equations to process: 1334
% 156.21/156.29  Current number of ordered equations: 1
% 156.21/156.29  Current number of rules: 1517
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2394]
% 156.21/156.29  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 156.21/156.29                                                            coantidomain(C),X0))) addition X0
% 156.21/156.29  -> X0
% 156.21/156.29  Current number of equations to process: 1334
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1518
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2395]
% 156.21/156.29  multiplication(multiplication(codomain(B),multiplication(coantidomain(C),A)),
% 156.21/156.29  coantidomain(X0)) addition A -> A
% 156.21/156.29  Current number of equations to process: 1328
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1519
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2396]
% 156.21/156.29  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(
% 156.21/156.29                                                            coantidomain(X0),A))) addition A
% 156.21/156.29  -> A
% 156.21/156.29  Current number of equations to process: 1326
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1520
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2397]
% 156.21/156.29  leq(multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 156.21/156.29      codomain(X0)),C) -> true
% 156.21/156.29  Current number of equations to process: 1325
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1521
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2398]
% 156.21/156.29  leq(multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 156.21/156.29      coantidomain(X0)),C) -> true
% 156.21/156.29  Current number of equations to process: 1324
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1522
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2399]
% 156.21/156.29  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(
% 156.21/156.29                                                            coantidomain(C),X0))),X0)
% 156.21/156.29  -> true
% 156.21/156.29  Current number of equations to process: 1323
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1523
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2400]
% 156.21/156.29  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(
% 156.21/156.29                                                                coantidomain(C),X0))),X0)
% 156.21/156.29  -> true
% 156.21/156.29  Current number of equations to process: 1322
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1524
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2401]
% 156.21/156.29  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 156.21/156.29                                                            c(X0)))) addition C
% 156.21/156.29  -> C
% 156.21/156.29  Current number of equations to process: 1320
% 156.21/156.29  Current number of ordered equations: 1
% 156.21/156.29  Current number of rules: 1525
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2402]
% 156.21/156.29  multiplication(multiplication(codomain(B),multiplication(coantidomain(C),A)),
% 156.21/156.29  c(X0)) addition A -> A
% 156.21/156.29  Current number of equations to process: 1320
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1526
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2403]
% 156.21/156.29  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 156.21/156.29                                                            c(C),X0))) addition X0
% 156.21/156.29  -> X0
% 156.21/156.29  Current number of equations to process: 1318
% 156.21/156.29  Current number of ordered equations: 1
% 156.21/156.29  Current number of rules: 1527
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2404]
% 156.21/156.29  multiplication(c(B),multiplication(codomain(C),multiplication(coantidomain(X0),A))) addition A
% 156.21/156.29  -> A
% 156.21/156.29  Current number of equations to process: 1318
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1528
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2405]
% 156.21/156.29  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),codomain(C)),
% 156.21/156.29  one addition X0) -> true
% 156.21/156.29  Current number of equations to process: 1317
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1529
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2406]
% 156.21/156.29  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),coantidomain(C)),
% 156.21/156.29  one addition X0) -> true
% 156.21/156.29  Current number of equations to process: 1316
% 156.21/156.29  Current number of ordered equations: 0
% 156.21/156.29  Current number of rules: 1530
% 156.21/156.29  New rule produced :
% 156.21/156.29  [2407]
% 156.21/156.29  leq(multiplication(codomain(A),multiplication(coantidomain(B),coantidomain(C))),
% 156.21/156.29  one addition X0) -> true
% 156.21/156.29  Current number of equations to process: 1314
% 156.21/156.29  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1531
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2408]
% 156.41/156.53  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),coantidomain(C))),
% 156.41/156.53  one addition X0) -> true
% 156.41/156.53  Current number of equations to process: 1313
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1532
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2409]
% 156.41/156.53  leq(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),
% 156.41/156.53  one addition X0) -> true
% 156.41/156.53  Current number of equations to process: 1308
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1533
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2410]
% 156.41/156.53  leq(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),
% 156.41/156.53  one addition X0) -> true
% 156.41/156.53  Current number of equations to process: 1307
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1534
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2411]
% 156.41/156.53  leq(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),
% 156.41/156.53  one addition X0) -> true
% 156.41/156.53  Current number of equations to process: 1305
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1535
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2412]
% 156.41/156.53  leq(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),
% 156.41/156.53  one addition X0) -> true
% 156.41/156.53  Current number of equations to process: 1304
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1536
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2413]
% 156.41/156.53  leq(backward_diamond(A,B) addition multiplication(forward_diamond(C,X0),
% 156.41/156.53                                     coantidomain(X1)),one) -> true
% 156.41/156.53  Current number of equations to process: 1302
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1537
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2414]
% 156.41/156.53  leq(forward_diamond(A,B) addition multiplication(forward_diamond(C,X0),
% 156.41/156.53                                    coantidomain(X1)),one) -> true
% 156.41/156.53  Current number of equations to process: 1301
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1538
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2415]
% 156.41/156.53  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 156.41/156.53               forward_diamond(X0,X1)) -> one
% 156.41/156.53  Current number of equations to process: 1300
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1539
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2416]
% 156.41/156.53  one addition multiplication(forward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 156.41/156.53                                                   coantidomain(X1))) -> one
% 156.41/156.53  Current number of equations to process: 1299
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1540
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2417]
% 156.41/156.53  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 156.41/156.53               backward_diamond(X0,X1)) -> one
% 156.41/156.53  Current number of equations to process: 1298
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1541
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2418]
% 156.41/156.53  one addition multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 156.41/156.53                                                    coantidomain(X1))) -> one
% 156.41/156.53  Current number of equations to process: 1297
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1542
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2419]
% 156.41/156.53  leq(backward_diamond(A,B) addition multiplication(backward_diamond(C,X0),
% 156.41/156.53                                     coantidomain(X1)),one) -> true
% 156.41/156.53  Current number of equations to process: 1296
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1543
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2420]
% 156.41/156.53  leq(forward_diamond(A,B) addition multiplication(backward_diamond(C,X0),
% 156.41/156.53                                    coantidomain(X1)),one) -> true
% 156.41/156.53  Current number of equations to process: 1295
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1544
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2421]
% 156.41/156.53  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 156.41/156.53               forward_diamond(X0,X1)) -> one
% 156.41/156.53  Current number of equations to process: 1294
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1545
% 156.41/156.53  New rule produced :
% 156.41/156.53  [2422]
% 156.41/156.53  one addition multiplication(forward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 156.41/156.53                                                   coantidomain(X1))) -> one
% 156.41/156.53  Current number of equations to process: 1293
% 156.41/156.53  Current number of ordered equations: 0
% 156.41/156.53  Current number of rules: 1546
% 156.41/156.53  New rule produced :
% 156.71/156.77  [2423]
% 156.71/156.77  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 156.71/156.77               backward_diamond(X0,X1)) -> one
% 156.71/156.77  Current number of equations to process: 1292
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1547
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2424]
% 156.71/156.77  one addition multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 156.71/156.77                                                    coantidomain(X1))) -> one
% 156.71/156.77  Current number of equations to process: 1291
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1548
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2425]
% 156.71/156.77  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 156.71/156.77  coantidomain(X0)) addition A -> A
% 156.71/156.77  Current number of equations to process: 1281
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1549
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2426]
% 156.71/156.77  multiplication(coantidomain(B),multiplication(multiplication(A,codomain(C)),
% 156.71/156.77                                 coantidomain(X0))) addition A -> A
% 156.71/156.77  Current number of equations to process: 1279
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1550
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2427]
% 156.71/156.77  leq(multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 156.71/156.77      codomain(X0)),A) -> true
% 156.71/156.77  Current number of equations to process: 1278
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1551
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2428]
% 156.71/156.77  leq(multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 156.71/156.77      coantidomain(X0)),A) -> true
% 156.71/156.77  Current number of equations to process: 1277
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1552
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2429]
% 156.71/156.77  leq(multiplication(codomain(A),multiplication(multiplication(B,codomain(C)),
% 156.71/156.77                                 coantidomain(X0))),B) -> true
% 156.71/156.77  Current number of equations to process: 1276
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1553
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2430]
% 156.71/156.77  leq(multiplication(coantidomain(A),multiplication(multiplication(B,codomain(C)),
% 156.71/156.77                                     coantidomain(X0))),B) -> true
% 156.71/156.77  Current number of equations to process: 1275
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1554
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2431]
% 156.71/156.77  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 156.71/156.77  coantidomain(A addition X0)) -> zero
% 156.71/156.77  Current number of equations to process: 1274
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1555
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2432]
% 156.71/156.77  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 156.71/156.77  c(X0)) addition A -> A
% 156.71/156.77  Current number of equations to process: 1272
% 156.71/156.77  Current number of ordered equations: 1
% 156.71/156.77  Current number of rules: 1556
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2433]
% 156.71/156.77  multiplication(multiplication(multiplication(A,c(B)),codomain(C)),coantidomain(X0)) addition A
% 156.71/156.77  -> A
% 156.71/156.77  Current number of equations to process: 1272
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1557
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2434]
% 156.71/156.77  multiplication(multiplication(multiplication(c(A),B),codomain(C)),coantidomain(X0)) addition B
% 156.71/156.77  -> B
% 156.71/156.77  Current number of equations to process: 1270
% 156.71/156.77  Current number of ordered equations: 1
% 156.71/156.77  Current number of rules: 1558
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2435]
% 156.71/156.77  multiplication(c(B),multiplication(multiplication(A,codomain(C)),coantidomain(X0))) addition A
% 156.71/156.77  -> A
% 156.71/156.77  Current number of equations to process: 1270
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1559
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2436]
% 156.71/156.77  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 156.71/156.77  coantidomain(X0)) addition A -> A
% 156.71/156.77  Current number of equations to process: 1268
% 156.71/156.77  Current number of ordered equations: 0
% 156.71/156.77  Current number of rules: 1560
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2437]
% 156.71/156.77  multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 156.71/156.77  coantidomain(X0)) addition B -> B
% 156.71/156.77  Current number of equations to process: 1266
% 156.71/156.77  Current number of ordered equations: 1
% 156.71/156.77  Current number of rules: 1561
% 156.71/156.77  New rule produced :
% 156.71/156.77  [2438]
% 156.71/156.77  multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 156.71/156.77  coantidomain(X0)) addition B -> B
% 156.71/156.77  Current number of equations to process: 1266
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1562
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2439]
% 156.98/157.02  multiplication(coantidomain(B),multiplication(multiplication(A,coantidomain(C)),
% 156.98/157.02                                 coantidomain(X0))) addition A -> A
% 156.98/157.02  Current number of equations to process: 1259
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1563
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2440]
% 156.98/157.02  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 156.98/157.02      codomain(X0)),A) -> true
% 156.98/157.02  Current number of equations to process: 1258
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1564
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2441]
% 156.98/157.02  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 156.98/157.02      coantidomain(X0)),A) -> true
% 156.98/157.02  Current number of equations to process: 1257
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1565
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2442]
% 156.98/157.02  leq(multiplication(codomain(A),multiplication(multiplication(B,coantidomain(C)),
% 156.98/157.02                                 coantidomain(X0))),B) -> true
% 156.98/157.02  Current number of equations to process: 1256
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1566
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2443]
% 156.98/157.02  leq(multiplication(coantidomain(A),multiplication(multiplication(B,coantidomain(C)),
% 156.98/157.02                                     coantidomain(X0))),B) -> true
% 156.98/157.02  Current number of equations to process: 1255
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1567
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2444]
% 156.98/157.02  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 156.98/157.02  coantidomain(A addition X0)) -> zero
% 156.98/157.02  Current number of equations to process: 1254
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1568
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2445]
% 156.98/157.02  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 156.98/157.02  c(X0)) addition A -> A
% 156.98/157.02  Current number of equations to process: 1252
% 156.98/157.02  Current number of ordered equations: 1
% 156.98/157.02  Current number of rules: 1569
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2446]
% 156.98/157.02  multiplication(multiplication(multiplication(A,c(B)),coantidomain(C)),
% 156.98/157.02  coantidomain(X0)) addition A -> A
% 156.98/157.02  Current number of equations to process: 1252
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1570
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2447]
% 156.98/157.02  multiplication(multiplication(multiplication(c(A),B),coantidomain(C)),
% 156.98/157.02  coantidomain(X0)) addition B -> B
% 156.98/157.02  Current number of equations to process: 1250
% 156.98/157.02  Current number of ordered equations: 1
% 156.98/157.02  Current number of rules: 1571
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2448]
% 156.98/157.02  multiplication(c(B),multiplication(multiplication(A,coantidomain(C)),
% 156.98/157.02                      coantidomain(X0))) addition A -> A
% 156.98/157.02  Current number of equations to process: 1250
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1572
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2449]
% 156.98/157.02  multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 156.98/157.02  coantidomain(X0)) addition B -> B
% 156.98/157.02  Current number of equations to process: 1248
% 156.98/157.02  Current number of ordered equations: 1
% 156.98/157.02  Current number of rules: 1573
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2450]
% 156.98/157.02  multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 156.98/157.02  coantidomain(X0)) addition B -> B
% 156.98/157.02  Current number of equations to process: 1248
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1574
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2451]
% 156.98/157.02  multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 156.98/157.02  coantidomain(X0)) addition C -> C
% 156.98/157.02  Current number of equations to process: 1246
% 156.98/157.02  Current number of ordered equations: 1
% 156.98/157.02  Current number of rules: 1575
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2452]
% 156.98/157.02  multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 156.98/157.02  coantidomain(X0)) addition C -> C
% 156.98/157.02  Current number of equations to process: 1246
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1576
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2453]
% 156.98/157.02  multiplication(coantidomain(B),multiplication(multiplication(coantidomain(C),A),
% 156.98/157.02                                 coantidomain(X0))) addition A -> A
% 156.98/157.02  Current number of equations to process: 1238
% 156.98/157.02  Current number of ordered equations: 0
% 156.98/157.02  Current number of rules: 1577
% 156.98/157.02  New rule produced :
% 156.98/157.02  [2454]
% 156.98/157.02  leq(multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 157.19/157.26      codomain(X0)),B) -> true
% 157.19/157.26  Current number of equations to process: 1237
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1578
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2455]
% 157.19/157.26  leq(multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 157.19/157.26      coantidomain(X0)),B) -> true
% 157.19/157.26  Current number of equations to process: 1236
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1579
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2456]
% 157.19/157.26  leq(multiplication(codomain(A),multiplication(multiplication(coantidomain(B),C),
% 157.19/157.26                                 coantidomain(X0))),C) -> true
% 157.19/157.26  Current number of equations to process: 1235
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1580
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2457]
% 157.19/157.26  leq(multiplication(coantidomain(A),multiplication(multiplication(coantidomain(B),C),
% 157.19/157.26                                     coantidomain(X0))),C) -> true
% 157.19/157.26  Current number of equations to process: 1234
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1581
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2458]
% 157.19/157.26  multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 157.19/157.26  coantidomain(B addition X0)) -> zero
% 157.19/157.26  Current number of equations to process: 1233
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1582
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2459]
% 157.19/157.26  multiplication(multiplication(coantidomain(A),multiplication(B,c(C))),
% 157.19/157.26  coantidomain(X0)) addition B -> B
% 157.19/157.26  Current number of equations to process: 1231
% 157.19/157.26  Current number of ordered equations: 1
% 157.19/157.26  Current number of rules: 1583
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2460]
% 157.19/157.26  multiplication(multiplication(multiplication(coantidomain(B),A),coantidomain(C)),
% 157.19/157.26  c(X0)) addition A -> A
% 157.19/157.26  Current number of equations to process: 1231
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1584
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2461]
% 157.19/157.26  multiplication(multiplication(coantidomain(A),multiplication(c(B),C)),
% 157.19/157.26  coantidomain(X0)) addition C -> C
% 157.19/157.26  Current number of equations to process: 1229
% 157.19/157.26  Current number of ordered equations: 1
% 157.19/157.26  Current number of rules: 1585
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2462]
% 157.19/157.26  multiplication(c(B),multiplication(multiplication(coantidomain(C),A),
% 157.19/157.26                      coantidomain(X0))) addition A -> A
% 157.19/157.26  Current number of equations to process: 1229
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1586
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2463]
% 157.19/157.26  multiplication(coantidomain(B),multiplication(multiplication(codomain(C),A),
% 157.19/157.26                                 coantidomain(X0))) addition A -> A
% 157.19/157.26  Current number of equations to process: 1217
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1587
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2464]
% 157.19/157.26  leq(multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 157.19/157.26      codomain(X0)),B) -> true
% 157.19/157.26  Current number of equations to process: 1216
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1588
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2465]
% 157.19/157.26  leq(multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 157.19/157.26      coantidomain(X0)),B) -> true
% 157.19/157.26  Current number of equations to process: 1215
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1589
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2466]
% 157.19/157.26  leq(multiplication(codomain(A),multiplication(multiplication(codomain(B),C),
% 157.19/157.26                                 coantidomain(X0))),C) -> true
% 157.19/157.26  Current number of equations to process: 1214
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1590
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2467]
% 157.19/157.26  leq(multiplication(coantidomain(A),multiplication(multiplication(codomain(B),C),
% 157.19/157.26                                     coantidomain(X0))),C) -> true
% 157.19/157.26  Current number of equations to process: 1213
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1591
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2468]
% 157.19/157.26  multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 157.19/157.26  coantidomain(B addition X0)) -> zero
% 157.19/157.26  Current number of equations to process: 1212
% 157.19/157.26  Current number of ordered equations: 0
% 157.19/157.26  Current number of rules: 1592
% 157.19/157.26  New rule produced :
% 157.19/157.26  [2469]
% 157.19/157.26  multiplication(multiplication(codomain(A),multiplication(B,c(C))),coantidomain(X0)) addition B
% 157.19/157.26  -> B
% 157.19/157.26  Current number of equations to process: 1210
% 157.19/157.26  Current number of ordered equations: 1
% 157.49/157.52  Current number of rules: 1593
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2470]
% 157.49/157.52  multiplication(multiplication(multiplication(codomain(B),A),coantidomain(C)),
% 157.49/157.52  c(X0)) addition A -> A
% 157.49/157.52  Current number of equations to process: 1210
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1594
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2471]
% 157.49/157.52  multiplication(multiplication(codomain(A),multiplication(c(B),C)),coantidomain(X0)) addition C
% 157.49/157.52  -> C
% 157.49/157.52  Current number of equations to process: 1208
% 157.49/157.52  Current number of ordered equations: 1
% 157.49/157.52  Current number of rules: 1595
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2472]
% 157.49/157.52  multiplication(c(B),multiplication(multiplication(codomain(C),A),coantidomain(X0))) addition A
% 157.49/157.52  -> A
% 157.49/157.52  Current number of equations to process: 1208
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1596
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2473]
% 157.49/157.52  leq(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),
% 157.49/157.52  one addition X0) -> true
% 157.49/157.52  Current number of equations to process: 1204
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1597
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2474]
% 157.49/157.52  leq(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),
% 157.49/157.52  one addition X0) -> true
% 157.49/157.52  Current number of equations to process: 1203
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1598
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2475]
% 157.49/157.52  leq(multiplication(codomain(A),multiplication(coantidomain(B),c(C))),
% 157.49/157.52  one addition X0) -> true
% 157.49/157.52  Current number of equations to process: 1202
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1599
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2476]
% 157.49/157.52  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),c(C))),
% 157.49/157.52  one addition X0) -> true
% 157.49/157.52  Current number of equations to process: 1201
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1600
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2477]
% 157.49/157.52  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),forward_diamond(X0,X1)),one)
% 157.49/157.52  -> true
% 157.49/157.52  Current number of equations to process: 1199
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1601
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2478]
% 157.49/157.52  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),forward_diamond(X0,X1)),one)
% 157.49/157.52  -> true
% 157.49/157.52  Current number of equations to process: 1198
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1602
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2479]
% 157.49/157.52  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 157.49/157.52               forward_diamond(X0,X1)) -> one
% 157.49/157.52  Current number of equations to process: 1197
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1603
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2480]
% 157.49/157.52  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 157.49/157.52                                                   forward_diamond(X0,X1))) ->
% 157.49/157.52  one
% 157.49/157.52  Current number of equations to process: 1196
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1604
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2481]
% 157.49/157.52  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 157.49/157.52               backward_diamond(X0,X1)) -> one
% 157.49/157.52  Current number of equations to process: 1195
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1605
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2482]
% 157.49/157.52  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 157.49/157.52                                                    forward_diamond(X0,X1))) ->
% 157.49/157.52  one
% 157.49/157.52  Current number of equations to process: 1194
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1606
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2483]
% 157.49/157.52  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),backward_diamond(X0,X1)),one)
% 157.49/157.52  -> true
% 157.49/157.52  Current number of equations to process: 1193
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1607
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2484]
% 157.49/157.52  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),backward_diamond(X0,X1)),one)
% 157.49/157.52  -> true
% 157.49/157.52  Current number of equations to process: 1192
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1608
% 157.49/157.52  New rule produced :
% 157.49/157.52  [2485]
% 157.49/157.52  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 157.49/157.52               forward_diamond(X0,X1)) -> one
% 157.49/157.52  Current number of equations to process: 1191
% 157.49/157.52  Current number of ordered equations: 0
% 157.49/157.52  Current number of rules: 1609
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2486]
% 158.02/158.09  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 158.02/158.09                                                   backward_diamond(X0,X1))) ->
% 158.02/158.09  one
% 158.02/158.09  Current number of equations to process: 1190
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1610
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2487]
% 158.02/158.09  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 158.02/158.09               backward_diamond(X0,X1)) -> one
% 158.02/158.09  Current number of equations to process: 1189
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1611
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2488]
% 158.02/158.09  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 158.02/158.09                                                    backward_diamond(X0,X1)))
% 158.02/158.09  -> one
% 158.02/158.09  Current number of equations to process: 1188
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1612
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2489]
% 158.02/158.09  multiplication(coantidomain(B),multiplication(coantidomain(C),multiplication(A,
% 158.02/158.09                                                                coantidomain(X0)))) addition A
% 158.02/158.09  -> A
% 158.02/158.09  Current number of equations to process: 1176
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1613
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2490]
% 158.02/158.09  leq(multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 158.02/158.09      codomain(X0)),B) -> true
% 158.02/158.09  Current number of equations to process: 1175
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1614
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2491]
% 158.02/158.09  leq(multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 158.02/158.09      coantidomain(X0)),B) -> true
% 158.02/158.09  Current number of equations to process: 1174
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1615
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2492]
% 158.02/158.09  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 158.02/158.09                                                                coantidomain(X0)))),C)
% 158.02/158.09  -> true
% 158.02/158.09  Current number of equations to process: 1173
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1616
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2493]
% 158.02/158.09  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(C,
% 158.02/158.09                                                                    coantidomain(X0)))),C)
% 158.02/158.09  -> true
% 158.02/158.09  Current number of equations to process: 1172
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1617
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2494]
% 158.02/158.09  multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 158.02/158.09  coantidomain(B addition X0)) -> zero
% 158.02/158.09  Current number of equations to process: 1171
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1618
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2495]
% 158.02/158.09  multiplication(multiplication(coantidomain(B),multiplication(A,coantidomain(C))),
% 158.02/158.09  c(X0)) addition A -> A
% 158.02/158.09  Current number of equations to process: 1169
% 158.02/158.09  Current number of ordered equations: 1
% 158.02/158.09  Current number of rules: 1619
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2496]
% 158.02/158.09  multiplication(coantidomain(A),multiplication(multiplication(B,c(C)),
% 158.02/158.09                                 coantidomain(X0))) addition B -> B
% 158.02/158.09  Current number of equations to process: 1169
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1620
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2497]
% 158.02/158.09  multiplication(c(B),multiplication(coantidomain(C),multiplication(A,coantidomain(X0)))) addition A
% 158.02/158.09  -> A
% 158.02/158.09  Current number of equations to process: 1167
% 158.02/158.09  Current number of ordered equations: 1
% 158.02/158.09  Current number of rules: 1621
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2498]
% 158.02/158.09  multiplication(coantidomain(A),multiplication(multiplication(c(B),C),
% 158.02/158.09                                 coantidomain(X0))) addition C -> C
% 158.02/158.09  Current number of equations to process: 1167
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1622
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2499]
% 158.02/158.09  multiplication(coantidomain(B),multiplication(coantidomain(C),multiplication(A,
% 158.02/158.09                                                                codomain(X0)))) addition A
% 158.02/158.09  -> A
% 158.02/158.09  Current number of equations to process: 1155
% 158.02/158.09  Current number of ordered equations: 0
% 158.02/158.09  Current number of rules: 1623
% 158.02/158.09  New rule produced :
% 158.02/158.09  [2500]
% 158.02/158.09  leq(multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 158.02/158.09      codomain(X0)),B) -> true
% 158.63/158.66  Current number of equations to process: 1154
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1624
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2501]
% 158.63/158.66  leq(multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 158.63/158.66      coantidomain(X0)),B) -> true
% 158.63/158.66  Current number of equations to process: 1153
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1625
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2502]
% 158.63/158.66  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 158.63/158.66                                                                codomain(X0)))),C)
% 158.63/158.66  -> true
% 158.63/158.66  Current number of equations to process: 1152
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1626
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2503]
% 158.63/158.66  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(C,
% 158.63/158.66                                                                    codomain(X0)))),C)
% 158.63/158.66  -> true
% 158.63/158.66  Current number of equations to process: 1151
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1627
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2504]
% 158.63/158.66  multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 158.63/158.66  coantidomain(B addition X0)) -> zero
% 158.63/158.66  Current number of equations to process: 1150
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1628
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2505]
% 158.63/158.66  multiplication(multiplication(coantidomain(B),multiplication(A,codomain(C))),
% 158.63/158.66  c(X0)) addition A -> A
% 158.63/158.66  Current number of equations to process: 1148
% 158.63/158.66  Current number of ordered equations: 1
% 158.63/158.66  Current number of rules: 1629
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2506]
% 158.63/158.66  multiplication(coantidomain(A),multiplication(multiplication(B,c(C)),
% 158.63/158.66                                 codomain(X0))) addition B -> B
% 158.63/158.66  Current number of equations to process: 1148
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1630
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2507]
% 158.63/158.66  multiplication(c(B),multiplication(coantidomain(C),multiplication(A,codomain(X0)))) addition A
% 158.63/158.66  -> A
% 158.63/158.66  Current number of equations to process: 1146
% 158.63/158.66  Current number of ordered equations: 1
% 158.63/158.66  Current number of rules: 1631
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2508]
% 158.63/158.66  multiplication(coantidomain(A),multiplication(multiplication(c(B),C),
% 158.63/158.66                                 codomain(X0))) addition C -> C
% 158.63/158.66  Current number of equations to process: 1146
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1632
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2509]
% 158.63/158.66  multiplication(coantidomain(B),multiplication(coantidomain(C),multiplication(
% 158.63/158.66                                                                codomain(X0),A))) addition A
% 158.63/158.66  -> A
% 158.63/158.66  Current number of equations to process: 1134
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1633
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2510]
% 158.63/158.66  leq(multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 158.63/158.66      codomain(X0)),C) -> true
% 158.63/158.66  Current number of equations to process: 1133
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1634
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2511]
% 158.63/158.66  leq(multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 158.63/158.66      coantidomain(X0)),C) -> true
% 158.63/158.66  Current number of equations to process: 1132
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1635
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2512]
% 158.63/158.66  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 158.63/158.66                                                                codomain(C),X0))),X0)
% 158.63/158.66  -> true
% 158.63/158.66  Current number of equations to process: 1131
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1636
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2513]
% 158.63/158.66  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 158.63/158.66                                                                    codomain(C),X0))),X0)
% 158.63/158.66  -> true
% 158.63/158.66  Current number of equations to process: 1130
% 158.63/158.66  Current number of ordered equations: 0
% 158.63/158.66  Current number of rules: 1637
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2514]
% 158.63/158.66  multiplication(coantidomain(A),multiplication(codomain(B),multiplication(C,
% 158.63/158.66                                                            c(X0)))) addition C
% 158.63/158.66  -> C
% 158.63/158.66  Current number of equations to process: 1128
% 158.63/158.66  Current number of ordered equations: 1
% 158.63/158.66  Current number of rules: 1638
% 158.63/158.66  New rule produced :
% 158.63/158.66  [2515]
% 158.63/158.66  multiplication(multiplication(coantidomain(B),multiplication(codomain(C),A)),
% 159.16/159.23  c(X0)) addition A -> A
% 159.16/159.23  Current number of equations to process: 1128
% 159.16/159.23  Current number of ordered equations: 0
% 159.16/159.23  Current number of rules: 1639
% 159.16/159.23  New rule produced :
% 159.16/159.23  [2516]
% 159.16/159.23  multiplication(coantidomain(A),multiplication(codomain(B),multiplication(
% 159.16/159.23                                                            c(C),X0))) addition X0
% 159.16/159.23  -> X0
% 159.16/159.23  Current number of equations to process: 1126
% 159.16/159.23  Current number of ordered equations: 1
% 159.16/159.23  Current number of rules: 1640
% 159.16/159.23  New rule produced :
% 159.16/159.23  [2517]
% 159.16/159.23  multiplication(c(B),multiplication(coantidomain(C),multiplication(codomain(X0),A))) addition A
% 159.16/159.23  -> A
% 159.16/159.23  Current number of equations to process: 1126
% 159.16/159.23  Current number of ordered equations: 0
% 159.16/159.23  Current number of rules: 1641
% 159.16/159.23  New rule produced :
% 159.16/159.23  [2518]
% 159.16/159.23  multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 159.16/159.23                                                                coantidomain(C),X0))) addition X0
% 159.16/159.23  -> X0
% 159.16/159.23  Current number of equations to process: 1122
% 159.16/159.23  Current number of ordered equations: 0
% 159.16/159.24  Current number of rules: 1642
% 159.16/159.24  New rule produced :
% 159.16/159.24  [2519]
% 159.16/159.24  leq(multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 159.16/159.24      codomain(X0)),C) -> true
% 159.16/159.24  Current number of equations to process: 1113
% 159.16/159.24  Current number of ordered equations: 0
% 159.16/159.24  Current number of rules: 1643
% 159.16/159.24  New rule produced :
% 159.16/159.24  [2520]
% 159.16/159.24  leq(multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 159.16/159.24      coantidomain(X0)),C) -> true
% 159.16/159.24  Current number of equations to process: 1112
% 159.16/159.24  Current number of ordered equations: 0
% 159.16/159.24  Current number of rules: 1644
% 159.16/159.24  New rule produced :
% 159.16/159.24  [2521]
% 159.16/159.24  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 159.16/159.24                                                                coantidomain(C),X0))),X0)
% 159.16/159.24  -> true
% 159.16/159.24  Current number of equations to process: 1111
% 159.16/159.24  Current number of ordered equations: 0
% 159.16/159.24  Current number of rules: 1645
% 159.16/159.24  New rule produced :
% 159.16/159.24  [2522]
% 159.16/159.24  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 159.16/159.24                                                                    coantidomain(C),X0))),X0)
% 159.16/159.24  -> true
% 159.16/159.24  Current number of equations to process: 1110
% 159.16/159.24  Current number of ordered equations: 0
% 159.16/159.24  Current number of rules: 1646
% 159.16/159.24  New rule produced :
% 159.16/159.24  [2523]
% 159.16/159.24  multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(C,
% 159.16/159.24                                                                c(X0)))) addition C
% 159.16/159.24  -> C
% 159.16/159.24  Current number of equations to process: 1108
% 159.16/159.24  Current number of ordered equations: 1
% 159.16/159.24  Current number of rules: 1647
% 159.16/159.24  New rule produced :
% 159.16/159.24  [2524]
% 159.16/159.24  multiplication(multiplication(coantidomain(B),multiplication(coantidomain(C),A)),
% 159.16/159.24  c(X0)) addition A -> A
% 159.16/159.24  Current number of equations to process: 1108
% 159.16/159.24  Current number of ordered equations: 0
% 159.16/159.24  Current number of rules: 1648
% 159.16/159.24  New rule produced :
% 159.16/159.24  [2525]
% 159.16/159.24  multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 159.16/159.24                                                                c(C),X0))) addition X0
% 159.16/159.24  -> X0
% 159.16/159.24  Current number of equations to process: 1106
% 159.16/159.24  Current number of ordered equations: 1
% 159.16/159.24  Current number of rules: 1649
% 159.22/159.24  New rule produced :
% 159.22/159.24  [2526]
% 159.22/159.24  multiplication(c(B),multiplication(coantidomain(C),multiplication(coantidomain(X0),A))) addition A
% 159.22/159.24  -> A
% 159.22/159.24  Current number of equations to process: 1106
% 159.22/159.24  Current number of ordered equations: 0
% 159.22/159.24  Current number of rules: 1650
% 159.22/159.24  New rule produced :
% 159.22/159.24  [2527]
% 159.22/159.24  backward_diamond(multiplication(multiplication(A,multiplication(coantidomain(
% 159.22/159.24                                                                  backward_diamond(A,B)),C)),X0),B)
% 159.22/159.24  -> zero
% 159.22/159.24  Current number of equations to process: 1104
% 159.22/159.24  Current number of ordered equations: 0
% 159.22/159.24  Current number of rules: 1651
% 159.22/159.24  New rule produced :
% 159.22/159.24  [2528]
% 159.22/159.24  backward_diamond(multiplication(multiplication(multiplication(A,coantidomain(
% 159.22/159.24                                                                  backward_diamond(A,B))),C),X0),B)
% 159.22/159.24  -> zero
% 159.22/159.24  Current number of equations to process: 1103
% 159.22/159.24  Current number of ordered equations: 0
% 159.22/159.24  Current number of rules: 1652
% 159.22/159.24  New rule produced :
% 159.22/159.24  [2529]
% 159.22/159.24  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 159.22/159.24                                               codomain(X0))) addition A -> A
% 159.78/159.81  Current number of equations to process: 1100
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1653
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2530]
% 159.78/159.81  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 159.78/159.81                                                   codomain(X0))) addition A ->
% 159.78/159.81  A
% 159.78/159.81  Current number of equations to process: 1099
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1654
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2531]
% 159.78/159.81  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 159.78/159.81                                               codomain(X0))) addition B -> B
% 159.78/159.81  Current number of equations to process: 1098
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1655
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2532]
% 159.78/159.81  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 159.78/159.81                                                   codomain(X0))) addition B ->
% 159.78/159.81  B
% 159.78/159.81  Current number of equations to process: 1097
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1656
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2533]
% 159.78/159.81  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 159.78/159.81                                               codomain(X0))) addition A -> A
% 159.78/159.81  Current number of equations to process: 1092
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1657
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2534]
% 159.78/159.81  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 159.78/159.81                                                   codomain(X0))) addition A ->
% 159.78/159.81  A
% 159.78/159.81  Current number of equations to process: 1091
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1658
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2535]
% 159.78/159.81  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 159.78/159.81                                                   codomain(X0))) addition B ->
% 159.78/159.81  B
% 159.78/159.81  Current number of equations to process: 1090
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1659
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2536]
% 159.78/159.81  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 159.78/159.81                                               codomain(X0))) addition B -> B
% 159.78/159.81  Current number of equations to process: 1089
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1660
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2537]
% 159.78/159.81  leq(multiplication(multiplication(A,codomain(B)),C),multiplication(A,C) addition X0)
% 159.78/159.81  -> true
% 159.78/159.81  Current number of equations to process: 1083
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1661
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2538]
% 159.78/159.81  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 159.78/159.81  multiplication(codomain(B),X0)) -> zero
% 159.78/159.81  Current number of equations to process: 1081
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1662
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2539]
% 159.78/159.81  multiplication(multiplication(codomain(A),codomain(B)),multiplication(C,
% 159.78/159.81                                                         codomain(X0))) addition C
% 159.78/159.81  -> C
% 159.78/159.81  Current number of equations to process: 1075
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1663
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2540]
% 159.78/159.81  multiplication(multiplication(codomain(A),codomain(B)),multiplication(C,
% 159.78/159.81                                                         coantidomain(X0))) addition C
% 159.78/159.81  -> C
% 159.78/159.81  Current number of equations to process: 1074
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1664
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2541]
% 159.78/159.81  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 159.78/159.81                                                         codomain(C),X0)) addition X0
% 159.78/159.81  -> X0
% 159.78/159.81  Current number of equations to process: 1073
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1665
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2542]
% 159.78/159.81  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 159.78/159.81                                                         coantidomain(C),X0)) addition X0
% 159.78/159.81  -> X0
% 159.78/159.81  Current number of equations to process: 1072
% 159.78/159.81  Current number of ordered equations: 0
% 159.78/159.81  Current number of rules: 1666
% 159.78/159.81  New rule produced :
% 159.78/159.81  [2543]
% 159.78/159.81  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(C,
% 159.78/159.81                                                             coantidomain(X0))) addition C
% 160.41/160.44  -> C
% 160.41/160.44  Current number of equations to process: 1067
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1667
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2544]
% 160.41/160.44  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(C,
% 160.41/160.44                                                             codomain(X0))) addition C
% 160.41/160.44  -> C
% 160.41/160.44  Current number of equations to process: 1066
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1668
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2545]
% 160.41/160.44  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 160.41/160.44                                                             codomain(C),X0)) addition X0
% 160.41/160.44  -> X0
% 160.41/160.44  Current number of equations to process: 1065
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1669
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2546]
% 160.41/160.44  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 160.41/160.44                                                             coantidomain(C),X0)) addition X0
% 160.41/160.44  -> X0
% 160.41/160.44  Current number of equations to process: 1064
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1670
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2547]
% 160.41/160.44  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(C,
% 160.41/160.44                                                             coantidomain(X0))) addition C
% 160.41/160.44  -> C
% 160.41/160.44  Current number of equations to process: 1050
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1671
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2548]
% 160.41/160.44  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(C,
% 160.41/160.44                                                             codomain(X0))) addition C
% 160.41/160.44  -> C
% 160.41/160.44  Current number of equations to process: 1049
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1672
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2549]
% 160.41/160.44  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 160.41/160.44                                                             codomain(C),X0)) addition X0
% 160.41/160.44  -> X0
% 160.41/160.44  Current number of equations to process: 1048
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1673
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2550]
% 160.41/160.44  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 160.41/160.44                                                             coantidomain(C),X0)) addition X0
% 160.41/160.44  -> X0
% 160.41/160.44  Current number of equations to process: 1047
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1674
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2551]
% 160.41/160.44  leq(multiplication(A,multiplication(codomain(B),C)),multiplication(A,C) addition X0)
% 160.41/160.44  -> true
% 160.41/160.44  Current number of equations to process: 1045
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1675
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2552]
% 160.41/160.44  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 160.41/160.44                                                   multiplication(codomain(B),X0)))
% 160.41/160.44  -> zero
% 160.41/160.44  Current number of equations to process: 1043
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1676
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2553]
% 160.41/160.44  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 160.41/160.44                                               coantidomain(X0))) addition A ->
% 160.41/160.44  A
% 160.41/160.44  Current number of equations to process: 1033
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1677
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2554]
% 160.41/160.44  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 160.41/160.44                                                   coantidomain(X0))) addition A
% 160.41/160.44  -> A
% 160.41/160.44  Current number of equations to process: 1032
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1678
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2555]
% 160.41/160.44  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 160.41/160.44                                                   coantidomain(X0))) addition B
% 160.41/160.44  -> B
% 160.41/160.44  Current number of equations to process: 1031
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1679
% 160.41/160.44  New rule produced :
% 160.41/160.44  [2556]
% 160.41/160.44  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 160.41/160.44                                               coantidomain(X0))) addition B ->
% 160.41/160.44  B
% 160.41/160.44  Current number of equations to process: 1030
% 160.41/160.44  Current number of ordered equations: 0
% 160.41/160.44  Current number of rules: 1680
% 160.41/160.44  New rule produced :
% 160.89/160.95  [2557]
% 160.89/160.95  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 160.89/160.95                                               coantidomain(X0))) addition A ->
% 160.89/160.95  A
% 160.89/160.95  Current number of equations to process: 1017
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1681
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2558]
% 160.89/160.95  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 160.89/160.95                                                   coantidomain(X0))) addition A
% 160.89/160.95  -> A
% 160.89/160.95  Current number of equations to process: 1016
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1682
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2559]
% 160.89/160.95  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 160.89/160.95                                                   coantidomain(X0))) addition B
% 160.89/160.95  -> B
% 160.89/160.95  Current number of equations to process: 1015
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1683
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2560]
% 160.89/160.95  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 160.89/160.95                                               coantidomain(X0))) addition B ->
% 160.89/160.95  B
% 160.89/160.95  Current number of equations to process: 1014
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1684
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2561]
% 160.89/160.95  leq(multiplication(multiplication(A,coantidomain(B)),C),multiplication(A,C) addition X0)
% 160.89/160.95  -> true
% 160.89/160.95  Current number of equations to process: 1009
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1685
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2562]
% 160.89/160.95  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 160.89/160.95  multiplication(codomain(B),X0)) -> zero
% 160.89/160.95  Current number of equations to process: 1007
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1686
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2563]
% 160.89/160.95  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(C,
% 160.89/160.95                                                                 coantidomain(X0))) addition C
% 160.89/160.95  -> C
% 160.89/160.95  Current number of equations to process: 989
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1687
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2564]
% 160.89/160.95  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(C,
% 160.89/160.95                                                                 codomain(X0))) addition C
% 160.89/160.95  -> C
% 160.89/160.95  Current number of equations to process: 988
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1688
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2565]
% 160.89/160.95  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 160.89/160.95                                                                 codomain(C),X0)) addition X0
% 160.89/160.95  -> X0
% 160.89/160.95  Current number of equations to process: 987
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1689
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2566]
% 160.89/160.95  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 160.89/160.95                                                                 coantidomain(C),X0)) addition X0
% 160.89/160.95  -> X0
% 160.89/160.95  Current number of equations to process: 986
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1690
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2567]
% 160.89/160.95  leq(multiplication(A,multiplication(coantidomain(B),C)),multiplication(A,C) addition X0)
% 160.89/160.95  -> true
% 160.89/160.95  Current number of equations to process: 985
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1691
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2568]
% 160.89/160.95  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 160.89/160.95                                                   multiplication(codomain(B),X0)))
% 160.89/160.95  -> zero
% 160.89/160.95  Current number of equations to process: 983
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1692
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2569]
% 160.89/160.95  coantidomain(backward_diamond(multiplication(codomain(A),B),multiplication(C,
% 160.89/160.95                                                              multiplication(X0,
% 160.89/160.95                                                              coantidomain(A)))))
% 160.89/160.95  -> one
% 160.89/160.95  Current number of equations to process: 965
% 160.89/160.95  Current number of ordered equations: 0
% 160.89/160.95  Current number of rules: 1693
% 160.89/160.95  New rule produced :
% 160.89/160.95  [2570]
% 160.89/160.95  coantidomain(backward_diamond(multiplication(multiplication(codomain(A),B),C),
% 160.89/160.95               multiplication(X0,coantidomain(A)))) -> one
% 160.89/160.95  Current number of equations to process: 964
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1694
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2571]
% 161.43/161.47  forward_diamond(multiplication(A,multiplication(B,multiplication(C,multiplication(X0,
% 161.43/161.47                                                                     c(X1))))),X1)
% 161.43/161.47  -> zero
% 161.43/161.47  Current number of equations to process: 962
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1695
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2572]
% 161.43/161.47  forward_diamond(multiplication(multiplication(C,c(B)),codomain(X0)) addition A,B)
% 161.43/161.47  -> forward_diamond(A,B)
% 161.43/161.47  Current number of equations to process: 961
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1696
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2573]
% 161.43/161.47  forward_diamond(multiplication(multiplication(C,c(B)),coantidomain(X0)) addition A,B)
% 161.43/161.47  -> forward_diamond(A,B)
% 161.43/161.47  Current number of equations to process: 959
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1697
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2574]
% 161.43/161.47  forward_diamond(multiplication(multiplication(C,c(B)),c(X0)) addition A,B) ->
% 161.43/161.47  forward_diamond(A,B)
% 161.43/161.47  Current number of equations to process: 957
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1698
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2575]
% 161.43/161.47  forward_diamond(multiplication(multiplication(multiplication(A,c(B)),
% 161.43/161.47                                 codomain(C)),codomain(X0)),B) -> zero
% 161.43/161.47  Current number of equations to process: 955
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1699
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2576]
% 161.43/161.47  forward_diamond(multiplication(multiplication(multiplication(A,c(B)),
% 161.43/161.47                                 coantidomain(C)),codomain(X0)),B) -> zero
% 161.43/161.47  Current number of equations to process: 954
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1700
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2577]
% 161.43/161.47  forward_diamond(multiplication(multiplication(codomain(A),multiplication(B,
% 161.43/161.47                                                            c(C))),codomain(X0)),C)
% 161.43/161.47  -> zero
% 161.43/161.47  Current number of equations to process: 953
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1701
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2578]
% 161.43/161.47  forward_diamond(multiplication(multiplication(coantidomain(A),multiplication(B,
% 161.43/161.47                                                                c(C))),
% 161.43/161.47                  codomain(X0)),C) -> zero
% 161.43/161.47  Current number of equations to process: 952
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1702
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2579]
% 161.43/161.47  forward_diamond(multiplication(codomain(A),multiplication(multiplication(B,
% 161.43/161.47                                                            c(C)),codomain(X0))),C)
% 161.43/161.47  -> zero
% 161.43/161.47  Current number of equations to process: 951
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1703
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2580]
% 161.43/161.47  forward_diamond(multiplication(codomain(A),multiplication(multiplication(B,
% 161.43/161.47                                                            c(C)),coantidomain(X0))),C)
% 161.43/161.47  -> zero
% 161.43/161.47  Current number of equations to process: 950
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1704
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2581]
% 161.43/161.47  forward_diamond(multiplication(multiplication(multiplication(A,c(B)),
% 161.43/161.47                                 codomain(C)),coantidomain(X0)),B) -> zero
% 161.43/161.47  Current number of equations to process: 949
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1705
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2582]
% 161.43/161.47  forward_diamond(multiplication(multiplication(multiplication(A,c(B)),
% 161.43/161.47                                 coantidomain(C)),coantidomain(X0)),B) -> zero
% 161.43/161.47  Current number of equations to process: 948
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1706
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2583]
% 161.43/161.47  forward_diamond(multiplication(multiplication(coantidomain(A),multiplication(B,
% 161.43/161.47                                                                c(C))),
% 161.43/161.47                  coantidomain(X0)),C) -> zero
% 161.43/161.47  Current number of equations to process: 947
% 161.43/161.47  Current number of ordered equations: 0
% 161.43/161.47  Current number of rules: 1707
% 161.43/161.47  New rule produced :
% 161.43/161.47  [2584]
% 161.43/161.47  forward_diamond(multiplication(multiplication(codomain(A),multiplication(B,
% 161.43/161.47                                                            c(C))),coantidomain(X0)),C)
% 161.43/161.47  -> zero
% 161.43/161.47  Current number of equations to process: 946
% 161.43/161.47  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1708
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2585]
% 162.10/162.12  forward_diamond(multiplication(coantidomain(A),multiplication(multiplication(B,
% 162.10/162.12                                                                c(C)),coantidomain(X0))),C)
% 162.10/162.12  -> zero
% 162.10/162.12  Current number of equations to process: 945
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1709
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2586]
% 162.10/162.12  forward_diamond(multiplication(coantidomain(A),multiplication(multiplication(B,
% 162.10/162.12                                                                c(C)),codomain(X0))),C)
% 162.10/162.12  -> zero
% 162.10/162.12  Current number of equations to process: 944
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1710
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2587]
% 162.10/162.12  forward_diamond(multiplication(C,multiplication(c(B),codomain(X0))) addition A,B)
% 162.10/162.12  -> forward_diamond(A,B)
% 162.10/162.12  Current number of equations to process: 943
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1711
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2588]
% 162.10/162.12  forward_diamond(multiplication(C,multiplication(c(B),coantidomain(X0))) addition A,B)
% 162.10/162.12  -> forward_diamond(A,B)
% 162.10/162.12  Current number of equations to process: 941
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1712
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2589]
% 162.10/162.12  forward_diamond(forward_diamond(B,C) addition A,forward_diamond(B,C)) ->
% 162.10/162.12  forward_diamond(one addition A,forward_diamond(B,C))
% 162.10/162.12  Current number of equations to process: 937
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1713
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2590]
% 162.10/162.12  leq(coantidomain(c(A)),coantidomain(backward_diamond(c(A),c(A))) addition B)
% 162.10/162.12  -> true
% 162.10/162.12  Current number of equations to process: 936
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1714
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2591]
% 162.10/162.12  leq(multiplication(multiplication(A,backward_diamond(B,C)),c(X0)),A addition X1)
% 162.10/162.12  -> true
% 162.10/162.12  Current number of equations to process: 931
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1715
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2592]
% 162.10/162.12  leq(multiplication(multiplication(backward_diamond(A,B),C),c(X0)),C addition X1)
% 162.10/162.12  -> true
% 162.10/162.12  Current number of equations to process: 930
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1716
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2593]
% 162.10/162.12  leq(multiplication(multiplication(coantidomain(A),codomain(B)),c(C)),
% 162.10/162.12  one addition X0) -> true
% 162.10/162.12  Current number of equations to process: 929
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1717
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2594]
% 162.10/162.12  leq(multiplication(multiplication(codomain(A),codomain(B)),c(C)),one addition X0)
% 162.10/162.12  -> true
% 162.10/162.12  Current number of equations to process: 928
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1718
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2595]
% 162.10/162.12  leq(multiplication(multiplication(c(A),codomain(B)),c(C)),one addition X0) ->
% 162.10/162.12  true
% 162.10/162.12  Current number of equations to process: 927
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1719
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2596]
% 162.10/162.12  leq(multiplication(multiplication(codomain(A),coantidomain(B)),c(C)),
% 162.10/162.12  one addition X0) -> true
% 162.10/162.12  Current number of equations to process: 926
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1720
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2597]
% 162.10/162.12  leq(multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 162.10/162.12      c(X0)),A) -> true
% 162.10/162.12  Current number of equations to process: 925
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1721
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2598]
% 162.10/162.12  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 162.10/162.12      c(X0)),A) -> true
% 162.10/162.12  Current number of equations to process: 924
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1722
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2599]
% 162.10/162.12  leq(multiplication(multiplication(multiplication(codomain(A),B),codomain(C)),
% 162.10/162.12      c(X0)),B) -> true
% 162.10/162.12  Current number of equations to process: 923
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1723
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2600]
% 162.10/162.12  leq(multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 162.10/162.12      c(X0)),B) -> true
% 162.10/162.12  Current number of equations to process: 922
% 162.10/162.12  Current number of ordered equations: 0
% 162.10/162.12  Current number of rules: 1724
% 162.10/162.12  New rule produced :
% 162.10/162.12  [2601]
% 162.10/162.12  leq(multiplication(multiplication(codomain(A),c(B)),c(C)),one addition X0) ->
% 162.70/162.71  true
% 162.70/162.71  Current number of equations to process: 921
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1725
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2602]
% 162.70/162.71  leq(multiplication(multiplication(codomain(A),multiplication(B,codomain(C))),
% 162.70/162.71      c(X0)),B) -> true
% 162.70/162.71  Current number of equations to process: 920
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1726
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2603]
% 162.70/162.71  leq(multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 162.70/162.71      c(X0)),B) -> true
% 162.70/162.71  Current number of equations to process: 919
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1727
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2604]
% 162.70/162.71  leq(multiplication(multiplication(codomain(A),multiplication(codomain(B),C)),
% 162.70/162.71      c(X0)),C) -> true
% 162.70/162.71  Current number of equations to process: 918
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1728
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2605]
% 162.70/162.71  leq(multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 162.70/162.71      c(X0)),C) -> true
% 162.70/162.71  Current number of equations to process: 917
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1729
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2606]
% 162.70/162.71  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),c(C)),
% 162.70/162.71  one addition X0) -> true
% 162.70/162.71  Current number of equations to process: 916
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1730
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2607]
% 162.70/162.71  leq(multiplication(multiplication(c(A),coantidomain(B)),c(C)),one addition X0)
% 162.70/162.71  -> true
% 162.70/162.71  Current number of equations to process: 915
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1731
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2608]
% 162.70/162.71  leq(multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 162.70/162.71      c(X0)),A) -> true
% 162.70/162.71  Current number of equations to process: 914
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1732
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2609]
% 162.70/162.71  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 162.70/162.71      c(X0)),A) -> true
% 162.70/162.71  Current number of equations to process: 913
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1733
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2610]
% 162.70/162.71  leq(multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 162.70/162.71      c(X0)),B) -> true
% 162.70/162.71  Current number of equations to process: 912
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1734
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2611]
% 162.70/162.71  leq(multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 162.70/162.71      c(X0)),B) -> true
% 162.70/162.71  Current number of equations to process: 911
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1735
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2612]
% 162.70/162.71  leq(multiplication(multiplication(coantidomain(A),c(B)),c(C)),one addition X0)
% 162.70/162.71  -> true
% 162.70/162.71  Current number of equations to process: 910
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1736
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2613]
% 162.70/162.71  leq(multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 162.70/162.71      c(X0)),B) -> true
% 162.70/162.71  Current number of equations to process: 909
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1737
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2614]
% 162.70/162.71  leq(multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 162.70/162.71      c(X0)),B) -> true
% 162.70/162.71  Current number of equations to process: 908
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1738
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2615]
% 162.70/162.71  leq(multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 162.70/162.71      c(X0)),C) -> true
% 162.70/162.71  Current number of equations to process: 907
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1739
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2616]
% 162.70/162.71  leq(multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 162.70/162.71      c(X0)),C) -> true
% 162.70/162.71  Current number of equations to process: 906
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1740
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2617]
% 162.70/162.71  leq(multiplication(A,backward_diamond(B,C)) addition multiplication(A,c(X0)),A)
% 162.70/162.71  -> true
% 162.70/162.71  Current number of equations to process: 903
% 162.70/162.71  Current number of ordered equations: 0
% 162.70/162.71  Current number of rules: 1741
% 162.70/162.71  New rule produced :
% 162.70/162.71  [2618]
% 162.70/162.71  leq(multiplication(backward_diamond(A,B),C) addition multiplication(C,c(X0)),C)
% 165.80/165.82  -> true
% 165.80/165.82  Current number of equations to process: 902
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1742
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2619]
% 165.80/165.82  coantidomain(backward_diamond(c(A),c(A))) addition coantidomain(c(A)) ->
% 165.80/165.82  coantidomain(backward_diamond(c(A),c(A)))
% 165.80/165.82  Current number of equations to process: 911
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1743
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2620]
% 165.80/165.82  forward_diamond(backward_diamond(sK1_goals_X0,multiplication(c(c(sK4_goals_X2)),
% 165.80/165.82                                                c(c(sK3_goals_X3)))),c(sK2_goals_X4))
% 165.80/165.82  -> zero
% 165.80/165.82  Current number of equations to process: 912
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1744
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2621]
% 165.80/165.82  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(X0),
% 165.80/165.82                                                       coantidomain(multiplication(B,C))))
% 165.80/165.82  -> zero
% 165.80/165.82  Current number of equations to process: 1069
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1745
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2622]
% 165.80/165.82  leq(multiplication(multiplication(A,multiplication(coantidomain(B),C)),
% 165.80/165.82      codomain(X0)),multiplication(A,C)) -> true
% 165.80/165.82  Current number of equations to process: 1068
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1746
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2623]
% 165.80/165.82  leq(multiplication(multiplication(A,multiplication(coantidomain(B),C)),
% 165.80/165.82      coantidomain(X0)),multiplication(A,C)) -> true
% 165.80/165.82  Current number of equations to process: 1067
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1747
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2624]
% 165.80/165.82  leq(multiplication(codomain(A),multiplication(B,multiplication(coantidomain(C),X0))),
% 165.80/165.82  multiplication(B,X0)) -> true
% 165.80/165.82  Current number of equations to process: 1066
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1748
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2625]
% 165.80/165.82  leq(multiplication(coantidomain(A),multiplication(B,multiplication(coantidomain(C),X0))),
% 165.80/165.82  multiplication(B,X0)) -> true
% 165.80/165.82  Current number of equations to process: 1065
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1749
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2626]
% 165.80/165.82  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(X0,
% 165.80/165.82                                                                    coantidomain(
% 165.80/165.82                                                                    multiplication(B,X0)))))
% 165.80/165.82  -> zero
% 165.80/165.82  Current number of equations to process: 1064
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1750
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2627]
% 165.80/165.82  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(X0),
% 165.80/165.82                                                       multiplication(coantidomain(C),X1)))
% 165.80/165.82  -> zero
% 165.80/165.82  Current number of equations to process: 1063
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1751
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2628]
% 165.80/165.82  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(
% 165.80/165.82                                                                    multiplication(
% 165.80/165.82                                                                    coantidomain(B),X0),X1)))
% 165.80/165.82  -> zero
% 165.80/165.82  Current number of equations to process: 1062
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1752
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2629]
% 165.80/165.82  multiplication(multiplication(A,multiplication(coantidomain(B),C)),coantidomain(
% 165.80/165.82                                                                     multiplication(A,C) addition X0))
% 165.80/165.82  -> zero
% 165.80/165.82  Current number of equations to process: 1061
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1753
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2630]
% 165.80/165.82  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 165.80/165.82  multiplication(coantidomain(X0),backward_diamond(B,C))) -> zero
% 165.80/165.82  Current number of equations to process: 1059
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1754
% 165.80/165.82  New rule produced :
% 165.80/165.82  [2631]
% 165.80/165.82  multiplication(multiplication(A,multiplication(B,multiplication(C,coantidomain(X0)))),
% 165.80/165.82  multiplication(codomain(X0),X1)) -> zero
% 165.80/165.82  Current number of equations to process: 1058
% 165.80/165.82  Current number of ordered equations: 0
% 165.80/165.82  Current number of rules: 1755
% 165.80/165.82  New rule produced :
% 166.04/166.07  [2632]
% 166.04/166.07  multiplication(multiplication(A,multiplication(B,coantidomain(C))),multiplication(
% 166.04/166.07                                                                     multiplication(
% 166.04/166.07                                                                     codomain(C),X0),X1))
% 166.04/166.07  -> zero
% 166.04/166.07  Current number of equations to process: 1054
% 166.04/166.07  Current number of ordered equations: 1
% 166.04/166.07  Current number of rules: 1756
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2633]
% 166.04/166.07  multiplication(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 166.04/166.07                                                                  multiplication(
% 166.04/166.07                                                                  codomain(B),C),X0),X1))
% 166.04/166.07  -> zero
% 166.04/166.07  Current number of equations to process: 1054
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1757
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2634]
% 166.04/166.07  forward_diamond(multiplication(A,multiplication(B,multiplication(C,c(X0)))) addition X1,X0)
% 166.04/166.07  -> forward_diamond(X1,X0)
% 166.04/166.07  Current number of equations to process: 1052
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1758
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2635]
% 166.04/166.07  forward_diamond(multiplication(multiplication(C,c(B)),forward_diamond(X0,X1)) addition A,B)
% 166.04/166.07  -> forward_diamond(A,B)
% 166.04/166.07  Current number of equations to process: 1049
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1759
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2636]
% 166.04/166.07  forward_diamond(multiplication(multiplication(C,c(B)),backward_diamond(X0,X1)) addition A,B)
% 166.04/166.07  -> forward_diamond(A,B)
% 166.04/166.07  Current number of equations to process: 1047
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1760
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2637]
% 166.04/166.07  leq(multiplication(A,c(B)) addition multiplication(C,c(B)),A addition C) ->
% 166.04/166.07  true
% 166.04/166.07  Current number of equations to process: 1045
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1761
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2638]
% 166.04/166.07  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),c(X0)),
% 166.04/166.07  one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1044
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1762
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2639]
% 166.04/166.07  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),c(X0)),
% 166.04/166.07  one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1043
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1763
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2640]
% 166.04/166.07  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),c(X0)),
% 166.04/166.07  one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1042
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1764
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2641]
% 166.04/166.07  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),c(X0)),
% 166.04/166.07  one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1041
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1765
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2642]
% 166.04/166.07  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 166.04/166.07      c(X0)),one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1040
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1766
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2643]
% 166.04/166.07  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 166.04/166.07      c(X0)),one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1039
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1767
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2644]
% 166.04/166.07  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 166.04/166.07      c(X0)),one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1038
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1768
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2645]
% 166.04/166.07  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 166.04/166.07      c(X0)),one addition X1) -> true
% 166.04/166.07  Current number of equations to process: 1037
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1769
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2646]
% 166.04/166.07  leq(multiplication(multiplication(A,multiplication(B,codomain(C))),c(X0)),
% 166.04/166.07  multiplication(A,B)) -> true
% 166.04/166.07  Current number of equations to process: 1036
% 166.04/166.07  Current number of ordered equations: 0
% 166.04/166.07  Current number of rules: 1770
% 166.04/166.07  New rule produced :
% 166.04/166.07  [2647]
% 166.04/166.07  leq(multiplication(multiplication(multiplication(A,codomain(B)),C),c(X0)),
% 166.49/166.52  multiplication(A,C)) -> true
% 166.49/166.52  Current number of equations to process: 1035
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1771
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2648]
% 166.49/166.52  leq(multiplication(multiplication(multiplication(codomain(A),B),C),c(X0)),
% 166.49/166.52  multiplication(B,C)) -> true
% 166.49/166.52  Current number of equations to process: 1034
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1772
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2649]
% 166.49/166.52  leq(multiplication(multiplication(A,multiplication(codomain(B),C)),c(X0)),
% 166.49/166.52  multiplication(A,C)) -> true
% 166.49/166.52  Current number of equations to process: 1033
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1773
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2650]
% 166.49/166.52  leq(multiplication(multiplication(A,multiplication(B,coantidomain(C))),c(X0)),
% 166.49/166.52  multiplication(A,B)) -> true
% 166.49/166.52  Current number of equations to process: 1032
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1774
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2651]
% 166.49/166.52  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),C),c(X0)),
% 166.49/166.52  multiplication(A,C)) -> true
% 166.49/166.52  Current number of equations to process: 1031
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1775
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2652]
% 166.49/166.52  leq(multiplication(multiplication(multiplication(coantidomain(A),B),C),c(X0)),
% 166.49/166.52  multiplication(B,C)) -> true
% 166.49/166.52  Current number of equations to process: 1030
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1776
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2653]
% 166.49/166.52  leq(multiplication(multiplication(A,multiplication(coantidomain(B),C)),c(X0)),
% 166.49/166.52  multiplication(A,C)) -> true
% 166.49/166.52  Current number of equations to process: 1029
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1777
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2654]
% 166.49/166.52  leq(coantidomain(backward_diamond(A,B)) addition multiplication(backward_diamond(A,B),
% 166.49/166.52                                                   c(C)),one) -> true
% 166.49/166.52  Current number of equations to process: 1028
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1778
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2655]
% 166.49/166.52  leq(c(forward_diamond(A,B)) addition multiplication(forward_diamond(A,B),
% 166.49/166.52                                       c(C)),one) -> true
% 166.49/166.52  Current number of equations to process: 1026
% 166.49/166.52  Current number of ordered equations: 1
% 166.49/166.52  Current number of rules: 1779
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2656]
% 166.49/166.52  leq(forward_diamond(A,B) addition multiplication(c(forward_diamond(A,B)),
% 166.49/166.52                                    c(C)),one) -> true
% 166.49/166.52  Current number of equations to process: 1026
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1780
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2657]
% 166.49/166.52  leq(backward_diamond(sK1_goals_X0,multiplication(c(c(sK4_goals_X2)),c(
% 166.49/166.52                                                                      c(sK3_goals_X3)))),
% 166.49/166.52  c(c(sK2_goals_X4))) -> true
% 166.49/166.52  Current number of equations to process: 1025
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1781
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2658] multiplication(multiplication(A,c(c(B))),B) -> multiplication(A,B)
% 166.49/166.52  Current number of equations to process: 1045
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1782
% 166.49/166.52  New rule produced : [2659] leq(codomain(A),c(c(codomain(A)))) -> true
% 166.49/166.52  Current number of equations to process: 1051
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1783
% 166.49/166.52  New rule produced : [2660] leq(coantidomain(A),c(c(coantidomain(A)))) -> true
% 166.49/166.52  Current number of equations to process: 1050
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1784
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2661] c(c(codomain(A))) addition codomain(A) -> c(c(codomain(A)))
% 166.49/166.52  Current number of equations to process: 1087
% 166.49/166.52  Current number of ordered equations: 1
% 166.49/166.52  Current number of rules: 1785
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2662]
% 166.49/166.52  c(c(coantidomain(A))) addition coantidomain(A) -> c(c(coantidomain(A)))
% 166.49/166.52  Current number of equations to process: 1087
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1786
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2663] leq(codomain(A),c(c(codomain(A))) addition B) -> true
% 166.49/166.52  Current number of equations to process: 1084
% 166.49/166.52  Current number of ordered equations: 0
% 166.49/166.52  Current number of rules: 1787
% 166.49/166.52  New rule produced :
% 166.49/166.52  [2664] leq(coantidomain(A),c(c(coantidomain(A))) addition B) -> true
% 166.49/166.52  Current number of equations to process: 1083
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1788
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2665] codomain(A) addition coantidomain(backward_diamond(A,c(c(A)))) -> one
% 169.14/169.18  Current number of equations to process: 1082
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1789
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2666] leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A))))) -> true
% 169.14/169.18  Current number of equations to process: 1081
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1790
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2667] multiplication(multiplication(c(A),codomain(B)),c(c(A))) -> zero
% 169.14/169.18  Current number of equations to process: 1084
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1791
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2668] multiplication(multiplication(c(A),coantidomain(B)),c(c(A))) -> zero
% 169.14/169.18  Current number of equations to process: 1083
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1792
% 169.14/169.18  New rule produced : [2669] forward_diamond(c(A),c(A)) -> c(A)
% 169.14/169.18  Rule [2084] c(forward_diamond(c(A),c(A))) -> c(c(A)) collapsed.
% 169.14/169.18  Current number of equations to process: 1086
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1792
% 169.14/169.18  New rule produced : [2670] forward_diamond(c(c(A)),A) -> c(c(A))
% 169.14/169.18  Current number of equations to process: 1085
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1793
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2671]
% 169.14/169.18  forward_diamond(c(c(B)) addition A,B) -> forward_diamond(one addition A,B)
% 169.14/169.18  Current number of equations to process: 1160
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1794
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2672]
% 169.14/169.18  forward_diamond(c(B) addition A,c(B)) -> forward_diamond(one addition A,c(B))
% 169.14/169.18  Current number of equations to process: 1159
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1795
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2673] backward_diamond(A,multiplication(codomain(c(B)),c(c(B)))) -> zero
% 169.14/169.18  Current number of equations to process: 1160
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1796
% 169.14/169.18  New rule produced : [2674] backward_diamond(c(c(A)),c(A)) -> zero
% 169.14/169.18  Rule [674] coantidomain(backward_diamond(c(c(A)),c(A))) -> one collapsed.
% 169.14/169.18  Current number of equations to process: 1161
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1796
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2675] multiplication(codomain(A),c(c(coantidomain(A)))) -> zero
% 169.14/169.18  Current number of equations to process: 1168
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1797
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2676] multiplication(codomain(A),c(c(codomain(A)))) -> c(c(codomain(A)))
% 169.14/169.18  Current number of equations to process: 1177
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1798
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2677]
% 169.14/169.18  multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))) -> zero
% 169.14/169.18  Current number of equations to process: 1176
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1799
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2678]
% 169.14/169.18  multiplication(coantidomain(A),multiplication(c(c(codomain(A))),B)) -> zero
% 169.14/169.18  Current number of equations to process: 1175
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1800
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2679]
% 169.14/169.18  coantidomain(backward_diamond(c(c(codomain(A))),coantidomain(A))) -> one
% 169.14/169.18  Current number of equations to process: 1182
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1801
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2680]
% 169.14/169.18  multiplication(coantidomain(backward_diamond(A,B)),c(c(backward_diamond(A,B))))
% 169.14/169.18  -> zero
% 169.14/169.18  Current number of equations to process: 1183
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1802
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2681]
% 169.14/169.18  multiplication(coantidomain(A),multiplication(codomain(B),c(c(codomain(A)))))
% 169.14/169.18  -> zero
% 169.14/169.18  Current number of equations to process: 1181
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1803
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2682]
% 169.14/169.18  multiplication(coantidomain(A),multiplication(coantidomain(B),c(c(codomain(A)))))
% 169.14/169.18  -> zero
% 169.14/169.18  Current number of equations to process: 1180
% 169.14/169.18  Current number of ordered equations: 0
% 169.14/169.18  Current number of rules: 1804
% 169.14/169.18  New rule produced :
% 169.14/169.18  [2683] coantidomain(backward_diamond(c(c(A)),multiplication(B,c(A)))) -> one
% 172.54/172.59  Current number of equations to process: 1184
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1805
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2684]
% 172.54/172.59  multiplication(forward_diamond(A,c(B)),multiplication(A,c(B))) ->
% 172.54/172.59  multiplication(A,c(B))
% 172.54/172.59  Current number of equations to process: 1187
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1806
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2685] coantidomain(backward_diamond(multiplication(c(c(A)),B),c(A))) -> one
% 172.54/172.59  Current number of equations to process: 1191
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1807
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2686] forward_diamond(multiplication(A,c(c(B))),B) -> forward_diamond(A,B)
% 172.54/172.59  Current number of equations to process: 1232
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1808
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2687]
% 172.54/172.59  forward_diamond(multiplication(A,c(B)),c(B)) -> forward_diamond(A,c(B))
% 172.54/172.59  Current number of equations to process: 1231
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1809
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2688]
% 172.54/172.59  leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A)))) addition B) ->
% 172.54/172.59  true
% 172.54/172.59  Current number of equations to process: 1427
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1810
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2689]
% 172.54/172.59  multiplication(multiplication(A,c(c(B))),multiplication(B,C)) ->
% 172.54/172.59  multiplication(A,multiplication(B,C))
% 172.54/172.59  Current number of equations to process: 1426
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1811
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2690] leq(codomain(A) addition B,c(c(codomain(A))) addition B) -> true
% 172.54/172.59  Current number of equations to process: 1421
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1812
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2691]
% 172.54/172.59  leq(coantidomain(A) addition B,c(c(coantidomain(A))) addition B) -> true
% 172.54/172.59  Current number of equations to process: 1420
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1813
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2692]
% 172.54/172.59  backward_diamond(A,B) addition c(c(backward_diamond(A,B))) ->
% 172.54/172.59  c(c(backward_diamond(A,B)))
% 172.54/172.59  Current number of equations to process: 1419
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1814
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2693]
% 172.54/172.59  multiplication(multiplication(A,coantidomain(B)),multiplication(c(c(codomain(B))),C))
% 172.54/172.59  -> zero
% 172.54/172.59  Current number of equations to process: 1415
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1815
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2694]
% 172.54/172.59  multiplication(multiplication(A,c(B)),multiplication(codomain(C),c(c(B)))) ->
% 172.54/172.59  zero
% 172.54/172.59  Current number of equations to process: 1404
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1816
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2695]
% 172.54/172.59  multiplication(multiplication(A,c(B)),multiplication(coantidomain(C),c(c(B))))
% 172.54/172.59  -> zero
% 172.54/172.59  Current number of equations to process: 1403
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1817
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2696]
% 172.54/172.59  multiplication(multiplication(c(A),codomain(B)),multiplication(c(c(A)),C)) ->
% 172.54/172.59  zero
% 172.54/172.59  Current number of equations to process: 1401
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1818
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2697]
% 172.54/172.59  multiplication(multiplication(c(A),coantidomain(B)),multiplication(c(c(A)),C))
% 172.54/172.59  -> zero
% 172.54/172.59  Current number of equations to process: 1400
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1819
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2698]
% 172.54/172.59  forward_diamond(multiplication(A,c(c(C))) addition B,C) ->
% 172.54/172.59  forward_diamond(A addition B,C)
% 172.54/172.59  Current number of equations to process: 1398
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1820
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2699]
% 172.54/172.59  c(c(codomain(A))) addition multiplication(coantidomain(B),codomain(A)) ->
% 172.54/172.59  c(c(codomain(A)))
% 172.54/172.59  Current number of equations to process: 1397
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1821
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2700]
% 172.54/172.59  c(c(coantidomain(A))) addition multiplication(codomain(B),coantidomain(A)) ->
% 172.54/172.59  c(c(coantidomain(A)))
% 172.54/172.59  Current number of equations to process: 1396
% 172.54/172.59  Current number of ordered equations: 0
% 172.54/172.59  Current number of rules: 1822
% 172.54/172.59  New rule produced :
% 172.54/172.59  [2701]
% 172.54/172.59  coantidomain(backward_diamond(A,c(c(A)))) addition coantidomain(A) ->
% 172.54/172.59  coantidomain(backward_diamond(A,c(c(A))))
% 172.54/172.59  Current number of equations to process: 1393
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1823
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2702]
% 183.24/183.28  c(c(codomain(A))) addition multiplication(codomain(A),codomain(B)) ->
% 183.24/183.28  c(c(codomain(A)))
% 183.24/183.28  Current number of equations to process: 1392
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1824
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2703]
% 183.24/183.28  c(c(coantidomain(A))) addition multiplication(coantidomain(A),codomain(B)) ->
% 183.24/183.28  c(c(coantidomain(A)))
% 183.24/183.28  Current number of equations to process: 1391
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1825
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2704]
% 183.24/183.28  c(c(codomain(A))) addition multiplication(codomain(B),codomain(A)) ->
% 183.24/183.28  c(c(codomain(A)))
% 183.24/183.28  Current number of equations to process: 1390
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1826
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2705]
% 183.24/183.28  c(c(codomain(A))) addition multiplication(codomain(A),coantidomain(B)) ->
% 183.24/183.28  c(c(codomain(A)))
% 183.24/183.28  Current number of equations to process: 1389
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1827
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2706]
% 183.24/183.28  c(c(coantidomain(A))) addition multiplication(coantidomain(A),coantidomain(B))
% 183.24/183.28  -> c(c(coantidomain(A)))
% 183.24/183.28  Current number of equations to process: 1388
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1828
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2707]
% 183.24/183.28  c(c(coantidomain(A))) addition multiplication(coantidomain(B),coantidomain(A))
% 183.24/183.28  -> c(c(coantidomain(A)))
% 183.24/183.28  Current number of equations to process: 1387
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1829
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2708]
% 183.24/183.28  forward_diamond(multiplication(A,c(C)) addition B,c(C)) ->
% 183.24/183.28  forward_diamond(A addition B,c(C))
% 183.24/183.28  Current number of equations to process: 1385
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1830
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2709] multiplication(coantidomain(A),c(codomain(A))) -> coantidomain(A)
% 183.24/183.28  Current number of equations to process: 1386
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1831
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2710]
% 183.24/183.28  multiplication(c(c(A)),coantidomain(c(A) addition B)) ->
% 183.24/183.28  coantidomain(c(A) addition B)
% 183.24/183.28  Current number of equations to process: 1589
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1832
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2711]
% 183.24/183.28  multiplication(c(A),coantidomain(c(c(A)) addition B)) ->
% 183.24/183.28  coantidomain(c(c(A)) addition B)
% 183.24/183.28  Current number of equations to process: 1588
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1833
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2712]
% 183.24/183.28  coantidomain(backward_diamond(multiplication(c(c(A)),B),multiplication(C,
% 183.24/183.28                                                          c(A)))) -> one
% 183.24/183.28  Current number of equations to process: 1612
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1834
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2713]
% 183.24/183.28  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 183.24/183.28                                                                  codomain(A))))
% 183.24/183.28  -> one
% 183.24/183.28  Current number of equations to process: 1639
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1835
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2714]
% 183.24/183.28  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 183.24/183.28  multiplication(coantidomain(B),X0)) -> zero
% 183.24/183.28  Current number of equations to process: 1650
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1836
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2715]
% 183.24/183.28  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 183.24/183.28                                               multiplication(coantidomain(B),X0)))
% 183.24/183.28  -> zero
% 183.24/183.28  Current number of equations to process: 1649
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1837
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2716]
% 183.24/183.28  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 183.24/183.28  multiplication(coantidomain(B),X0)) -> zero
% 183.24/183.28  Current number of equations to process: 1648
% 183.24/183.28  Current number of ordered equations: 0
% 183.24/183.28  Current number of rules: 1838
% 183.24/183.28  New rule produced :
% 183.24/183.28  [2717]
% 183.24/183.28  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 183.24/183.28                                               multiplication(coantidomain(B),X0)))
% 183.24/183.28  -> zero
% 183.24/183.28  Current number of equations to process: 1647
% 183.24/183.28  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1839
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2718]
% 190.23/190.25  leq(codomain(A) addition codomain(B) addition coantidomain(C),one) -> true
% 190.23/190.25  Current number of equations to process: 1649
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1840
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2719] leq(codomain(A) addition codomain(B) addition codomain(C),one) -> true
% 190.23/190.25  Current number of equations to process: 1653
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1841
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2720]
% 190.23/190.25  leq(forward_diamond(A,B) addition codomain(C) addition codomain(X0),one) ->
% 190.23/190.25  true
% 190.23/190.25  Current number of equations to process: 1652
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1842
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2721] leq(c(A) addition codomain(B) addition codomain(C),one) -> true
% 190.23/190.25  Current number of equations to process: 1655
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1843
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2722]
% 190.23/190.25  leq(backward_diamond(A,B) addition codomain(C) addition codomain(X0),one) ->
% 190.23/190.25  true
% 190.23/190.25  Current number of equations to process: 1654
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1844
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2723]
% 190.23/190.25  leq(codomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 190.23/190.25  true
% 190.23/190.25  Current number of equations to process: 1690
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1845
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2724]
% 190.23/190.25  leq(forward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 190.23/190.25  -> true
% 190.23/190.25  Current number of equations to process: 1693
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1846
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2725] leq(c(A) addition codomain(B) addition coantidomain(C),one) -> true
% 190.23/190.25  Current number of equations to process: 1696
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1847
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2726]
% 190.23/190.25  leq(backward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 190.23/190.25  -> true
% 190.23/190.25  Current number of equations to process: 1695
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1848
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2727]
% 190.23/190.25  leq(forward_diamond(A,B) addition c(C) addition codomain(X0),one) -> true
% 190.23/190.25  Current number of equations to process: 1735
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1849
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2728] leq(c(A) addition c(B) addition codomain(C),one) -> true
% 190.23/190.25  Current number of equations to process: 1738
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1850
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2729]
% 190.23/190.25  leq(backward_diamond(A,B) addition c(C) addition codomain(X0),one) -> true
% 190.23/190.25  Current number of equations to process: 1737
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1851
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2730]
% 190.23/190.25  leq(coantidomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 190.23/190.25  true
% 190.23/190.25  Current number of equations to process: 1776
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1852
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2731]
% 190.23/190.25  leq(forward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 190.23/190.25  -> true
% 190.23/190.25  Current number of equations to process: 1775
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1853
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2732]
% 190.23/190.25  leq(c(A) addition coantidomain(B) addition coantidomain(C),one) -> true
% 190.23/190.25  Current number of equations to process: 1778
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1854
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2733]
% 190.23/190.25  leq(backward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 190.23/190.25  -> true
% 190.23/190.25  Current number of equations to process: 1777
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1855
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2734]
% 190.23/190.25  leq(forward_diamond(A,B) addition c(C) addition coantidomain(X0),one) -> true
% 190.23/190.25  Current number of equations to process: 1815
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1856
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2735] leq(c(A) addition c(B) addition coantidomain(C),one) -> true
% 190.23/190.25  Current number of equations to process: 1818
% 190.23/190.25  Current number of ordered equations: 0
% 190.23/190.25  Current number of rules: 1857
% 190.23/190.25  New rule produced :
% 190.23/190.25  [2736]
% 190.23/190.25  leq(backward_diamond(A,B) addition c(C) addition coantidomain(X0),one) ->
% 190.23/190.25  true
% 190.23/190.25  Current number of equations to process: 1817
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1858
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2737] leq(forward_diamond(A,B) addition c(C) addition c(X0),one) -> true
% 203.64/203.74  Current number of equations to process: 1855
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1859
% 203.64/203.74  New rule produced : [2738] leq(c(A) addition c(B) addition c(C),one) -> true
% 203.64/203.74  Current number of equations to process: 1858
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1860
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2739] leq(backward_diamond(A,B) addition c(C) addition c(X0),one) -> true
% 203.64/203.74  Current number of equations to process: 1857
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1861
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2740]
% 203.64/203.74  multiplication(multiplication(c(A),codomain(B)),multiplication(A,C)) -> zero
% 203.64/203.74  Current number of equations to process: 2188
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1862
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2741]
% 203.64/203.74  multiplication(multiplication(c(A),coantidomain(B)),multiplication(A,C)) ->
% 203.64/203.74  zero
% 203.64/203.74  Current number of equations to process: 2187
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1863
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2742] multiplication(A,coantidomain(codomain(A) addition B)) -> zero
% 203.64/203.74  Current number of equations to process: 2216
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1864
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2743] backward_diamond(A,codomain(B)) -> backward_diamond(A,B)
% 203.64/203.74  Rule [422] backward_diamond(coantidomain(A),codomain(A)) -> zero collapsed.
% 203.64/203.74  Rule
% 203.64/203.74  [997]
% 203.64/203.74  backward_diamond(multiplication(A,B),codomain(C)) ->
% 203.64/203.74  backward_diamond(multiplication(A,B),C) collapsed.
% 203.64/203.74  Rule
% 203.64/203.74  [1402]
% 203.64/203.74  coantidomain(backward_diamond(A,codomain(B))) ->
% 203.64/203.74  coantidomain(backward_diamond(A,B)) collapsed.
% 203.64/203.74  Current number of equations to process: 2228
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1862
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2744] backward_diamond(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 203.64/203.74  Rule
% 203.64/203.74  [1394]
% 203.64/203.74  coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition 
% 203.64/203.74  coantidomain(A) -> one collapsed.
% 203.64/203.74  Rule
% 203.64/203.74  [1397]
% 203.64/203.74  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))))
% 203.64/203.74  -> true collapsed.
% 203.64/203.74  Rule
% 203.64/203.74  [2038]
% 203.64/203.74  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition B)
% 203.64/203.74  -> true collapsed.
% 203.64/203.74  Rule
% 203.64/203.74  [2107]
% 203.64/203.74  codomain(A) addition coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 203.64/203.74  -> coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) collapsed.
% 203.64/203.74  Current number of equations to process: 2234
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1859
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2745]
% 203.64/203.74  backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B)))
% 203.64/203.74  -> zero
% 203.64/203.74  Rule
% 203.64/203.74  [1393]
% 203.64/203.74  coantidomain(backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B))))
% 203.64/203.74  -> one collapsed.
% 203.64/203.74  Current number of equations to process: 2237
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1859
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2746]
% 203.64/203.74  backward_diamond(multiplication(coantidomain(A),B),coantidomain(A)) ->
% 203.64/203.74  backward_diamond(B,coantidomain(A))
% 203.64/203.74  Current number of equations to process: 2249
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1860
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2747]
% 203.64/203.74  multiplication(multiplication(A,B),backward_diamond(B,A)) ->
% 203.64/203.74  multiplication(A,B)
% 203.64/203.74  Current number of equations to process: 2255
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1861
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2748]
% 203.64/203.74  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(B,A)))
% 203.64/203.74  -> one
% 203.64/203.74  Current number of equations to process: 2274
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1862
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2749] multiplication(c(A),coantidomain(backward_diamond(c(A),c(A)))) -> zero
% 203.64/203.74  Current number of equations to process: 2278
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1863
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2750] multiplication(A,coantidomain(backward_diamond(A,c(c(A))))) -> zero
% 203.64/203.74  Current number of equations to process: 2279
% 203.64/203.74  Current number of ordered equations: 0
% 203.64/203.74  Current number of rules: 1864
% 203.64/203.74  New rule produced :
% 203.64/203.74  [2751]
% 203.64/203.74  backward_diamond(multiplication(A,backward_diamond(A,B)),B) ->
% 207.14/207.24  backward_diamond(A,B)
% 207.14/207.24  Current number of equations to process: 2283
% 207.14/207.24  Current number of ordered equations: 0
% 207.14/207.24  Current number of rules: 1865
% 207.14/207.24  New rule produced :
% 207.14/207.24  [2752]
% 207.14/207.24  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(B),
% 207.14/207.24                                                  multiplication(A,B)))) ->
% 207.14/207.24  zero
% 207.14/207.24  Current number of equations to process: 2312
% 207.14/207.24  Current number of ordered equations: 0
% 207.14/207.24  Current number of rules: 1866
% 207.14/207.24  New rule produced :
% 207.14/207.24  [2753]
% 207.14/207.24  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(
% 207.14/207.24                                                                backward_diamond(B,A))))
% 207.14/207.24  -> zero
% 207.14/207.24  Current number of equations to process: 2310
% 207.14/207.24  Current number of ordered equations: 0
% 207.14/207.24  Current number of rules: 1867
% 207.14/207.24  New rule produced :
% 207.14/207.24  [2754]
% 207.14/207.24  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(
% 207.14/207.24                                                                    backward_diamond(B,A))))
% 207.14/207.24  -> zero
% 207.14/207.24  Current number of equations to process: 2309
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1868
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2755]
% 207.14/207.25  backward_diamond(multiplication(multiplication(A,backward_diamond(A,C)),B),C)
% 207.14/207.25  -> backward_diamond(multiplication(A,B),C)
% 207.14/207.25  Current number of equations to process: 2308
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1869
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2756]
% 207.14/207.25  multiplication(multiplication(codomain(A),B),coantidomain(multiplication(B,
% 207.14/207.25                                                            backward_diamond(B,A))))
% 207.14/207.25  -> zero
% 207.14/207.25  Current number of equations to process: 2307
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1870
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2757] leq(backward_diamond(A,B),c(c(backward_diamond(A,B)))) -> true
% 207.14/207.25  Current number of equations to process: 2408
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1871
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2758]
% 207.14/207.25  leq(multiplication(forward_diamond(A,B),backward_diamond(C,X0)),one) -> true
% 207.14/207.25  Current number of equations to process: 2413
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1872
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2759]
% 207.14/207.25  leq(multiplication(multiplication(c(A),B),backward_diamond(C,X0)),B) -> true
% 207.14/207.25  Current number of equations to process: 2434
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1873
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2760]
% 207.14/207.25  leq(multiplication(multiplication(A,c(B)),backward_diamond(C,X0)),A) -> true
% 207.14/207.25  Current number of equations to process: 2433
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1874
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2761]
% 207.14/207.25  leq(multiplication(multiplication(A,codomain(B)),backward_diamond(C,X0)),A)
% 207.14/207.25  -> true
% 207.14/207.25  Current number of equations to process: 2465
% 207.14/207.25  Current number of ordered equations: 1
% 207.14/207.25  Current number of rules: 1875
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2762]
% 207.14/207.25  leq(multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)),A)
% 207.14/207.25  -> true
% 207.14/207.25  Current number of equations to process: 2465
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1876
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2763]
% 207.14/207.25  leq(multiplication(multiplication(codomain(A),B),backward_diamond(C,X0)),B)
% 207.14/207.25  -> true
% 207.14/207.25  Current number of equations to process: 2463
% 207.14/207.25  Current number of ordered equations: 1
% 207.14/207.25  Current number of rules: 1877
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2764]
% 207.14/207.25  leq(multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)),B)
% 207.14/207.25  -> true
% 207.14/207.25  Current number of equations to process: 2463
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1878
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2765]
% 207.14/207.25  leq(multiplication(backward_diamond(A,B),backward_diamond(C,X0)),one) -> true
% 207.14/207.25  Current number of equations to process: 2468
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1879
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2766]
% 207.14/207.25  leq(multiplication(A,multiplication(B,backward_diamond(C,X0))),multiplication(A,B))
% 207.14/207.25  -> true
% 207.14/207.25  Current number of equations to process: 2565
% 207.14/207.25  Current number of ordered equations: 0
% 207.14/207.25  Current number of rules: 1880
% 207.14/207.25  New rule produced :
% 207.14/207.25  [2767]
% 207.14/207.25  leq(multiplication(forward_diamond(A,B),backward_diamond(C,X0)),one addition X1)
% 207.14/207.25  -> true
% 207.14/207.25  Current number of equations to process: 2564
% 207.14/207.25  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1881
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2768]
% 209.27/209.31  leq(multiplication(multiplication(forward_diamond(A,B),C),backward_diamond(X0,X1)),C)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2563
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1882
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2769]
% 209.27/209.31  leq(multiplication(backward_diamond(A,B),backward_diamond(C,X0)),one addition X1)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2561
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1883
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2770]
% 209.27/209.31  leq(multiplication(multiplication(A,forward_diamond(B,C)),backward_diamond(X0,X1)),A)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2560
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1884
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2771]
% 209.27/209.31  leq(multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(X0,X1)),A)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2559
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1885
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2772]
% 209.27/209.31  leq(multiplication(multiplication(backward_diamond(A,B),C),backward_diamond(X0,X1)),C)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2558
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1886
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2773]
% 209.27/209.31  leq(multiplication(multiplication(coantidomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2557
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1887
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2774]
% 209.27/209.31  leq(multiplication(multiplication(codomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2556
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1888
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2775]
% 209.27/209.31  leq(multiplication(multiplication(c(A),codomain(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2555
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1889
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2776]
% 209.27/209.31  leq(multiplication(multiplication(codomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2554
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1890
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2777]
% 209.27/209.31  leq(multiplication(multiplication(codomain(A),c(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2553
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1891
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2778]
% 209.27/209.31  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2552
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1892
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2779]
% 209.27/209.31  leq(multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2551
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1893
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2780]
% 209.27/209.31  leq(multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0)),one)
% 209.27/209.31  -> true
% 209.27/209.31  Current number of equations to process: 2550
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1894
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2781]
% 209.27/209.31  leq(backward_diamond(A,B),c(c(backward_diamond(A,B))) addition C) -> true
% 209.27/209.31  Current number of equations to process: 2556
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1895
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2782]
% 209.27/209.31  leq(multiplication(A,multiplication(codomain(B),codomain(C))),A) -> true
% 209.27/209.31  Current number of equations to process: 2560
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1896
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2783] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(A)))) -> true
% 209.27/209.31  Current number of equations to process: 2564
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1897
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2784]
% 209.27/209.31  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A) -> true
% 209.27/209.31  Current number of equations to process: 2568
% 209.27/209.31  Current number of ordered equations: 0
% 209.27/209.31  Current number of rules: 1898
% 209.27/209.31  New rule produced :
% 209.27/209.31  [2785]
% 209.27/209.31  leq(multiplication(coantidomain(A),codomain(B)),c(c(coantidomain(A)))) ->
% 209.27/209.31  true
% 209.27/209.31  Current number of equations to process: 2572
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1899
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2786]
% 219.87/219.94  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A) -> true
% 219.87/219.94  Current number of equations to process: 2592
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1900
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2787]
% 219.87/219.94  leq(multiplication(codomain(A),coantidomain(B)),c(c(codomain(A)))) -> true
% 219.87/219.94  Current number of equations to process: 2596
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1901
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2788]
% 219.87/219.94  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),A) ->
% 219.87/219.94  true
% 219.87/219.94  Current number of equations to process: 2600
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1902
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2789]
% 219.87/219.94  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(A)))) ->
% 219.87/219.94  true
% 219.87/219.94  Current number of equations to process: 2604
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1903
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2790]
% 219.87/219.94  multiplication(multiplication(multiplication(A,B),C),backward_diamond(C,B))
% 219.87/219.94  -> multiplication(multiplication(A,B),C)
% 219.87/219.94  Current number of equations to process: 2660
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1904
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2791]
% 219.87/219.94  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(
% 219.87/219.94                                                                   multiplication(A,B)),B)))
% 219.87/219.94  -> zero
% 219.87/219.94  Current number of equations to process: 2659
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1905
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2792]
% 219.87/219.94  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 219.87/219.94                                                                    multiplication(C,B),A)))
% 219.87/219.94  -> one
% 219.87/219.94  Current number of equations to process: 2658
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1906
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2793]
% 219.87/219.94  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(
% 219.87/219.94                                                            backward_diamond(B,A),B)))
% 219.87/219.94  -> zero
% 219.87/219.94  Current number of equations to process: 2695
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1907
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2794]
% 219.87/219.94  leq(multiplication(A,codomain(B)),multiplication(A,c(c(codomain(B))))) ->
% 219.87/219.94  true
% 219.87/219.94  Current number of equations to process: 2730
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1908
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2795]
% 219.87/219.94  leq(multiplication(A,coantidomain(B)),multiplication(A,c(c(coantidomain(B)))))
% 219.87/219.94  -> true
% 219.87/219.94  Current number of equations to process: 2733
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1909
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2796]
% 219.87/219.94  multiplication(c(codomain(A)),coantidomain(backward_diamond(coantidomain(A),
% 219.87/219.94                                             c(codomain(A))))) -> zero
% 219.87/219.94  Current number of equations to process: 2783
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1910
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2797]
% 219.87/219.94  multiplication(c(coantidomain(A)),coantidomain(backward_diamond(codomain(A),
% 219.87/219.94                                                 c(coantidomain(A))))) -> zero
% 219.87/219.94  Current number of equations to process: 2782
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1911
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2798]
% 219.87/219.94  multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(B,C))
% 219.87/219.94  -> multiplication(A,backward_diamond(B,C))
% 219.87/219.94  Current number of equations to process: 2781
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1912
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2799]
% 219.87/219.94  backward_diamond(coantidomain(A) addition B,coantidomain(A)) ->
% 219.87/219.94  backward_diamond(one addition B,coantidomain(A))
% 219.87/219.94  Current number of equations to process: 2790
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1913
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2800]
% 219.87/219.94  leq(multiplication(multiplication(backward_diamond(A,B),C),X0),multiplication(C,X0))
% 219.87/219.94  -> true
% 219.87/219.94  Current number of equations to process: 2813
% 219.87/219.94  Current number of ordered equations: 0
% 219.87/219.94  Current number of rules: 1914
% 219.87/219.94  New rule produced :
% 219.87/219.94  [2801]
% 219.87/219.94  leq(multiplication(backward_diamond(A,B),forward_diamond(C,X0)),one) -> true
% 219.87/219.94  Current number of equations to process: 2818
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1915
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2802]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(c(C),X0)),X0) -> true
% 221.75/221.78  Current number of equations to process: 2839
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1916
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2803]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(C,c(X0))),C) -> true
% 221.75/221.78  Current number of equations to process: 2838
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1917
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2804]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(C,codomain(X0))),C)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2870
% 221.75/221.78  Current number of ordered equations: 1
% 221.75/221.78  Current number of rules: 1918
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2805]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))),C)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2870
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1919
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2806]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),X0)),X0)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2868
% 221.75/221.78  Current number of ordered equations: 1
% 221.75/221.78  Current number of rules: 1920
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2807]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)),X0)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2868
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1921
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2808]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),forward_diamond(C,X0)),one addition X1)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2969
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1922
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2809]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)),X1)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2968
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1923
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2810]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))),C)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2966
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1924
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2811]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(C,backward_diamond(X0,X1))),C)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2965
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1925
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2812]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),X1)),X1)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2964
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1926
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2813]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 221.75/221.78                                           codomain(X0))),one) -> true
% 221.75/221.78  Current number of equations to process: 2963
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1927
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2814]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),codomain(X0))),one)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2962
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1928
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2815]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(c(C),codomain(X0))),one)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2961
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1929
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2816]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),coantidomain(X0))),one)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2960
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1930
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2817]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),c(X0))),one)
% 221.75/221.78  -> true
% 221.75/221.78  Current number of equations to process: 2959
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1931
% 221.75/221.78  New rule produced :
% 221.75/221.78  [2818]
% 221.75/221.78  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 221.75/221.78                                           coantidomain(X0))),one) -> true
% 221.75/221.78  Current number of equations to process: 2958
% 221.75/221.78  Current number of ordered equations: 0
% 221.75/221.78  Current number of rules: 1932
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2819]
% 230.78/230.80  leq(multiplication(backward_diamond(A,B),multiplication(c(C),coantidomain(X0))),one)
% 230.78/230.80  -> true
% 230.78/230.80  Current number of equations to process: 2957
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1933
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2820]
% 230.78/230.80  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 230.78/230.80                                           c(X0))),one) -> true
% 230.78/230.80  Current number of equations to process: 2956
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1934
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2821]
% 230.78/230.80  leq(multiplication(codomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 230.78/230.80  true
% 230.78/230.80  Current number of equations to process: 2970
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1935
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2822] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 230.78/230.80  Current number of equations to process: 2978
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1936
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2823]
% 230.78/230.80  leq(multiplication(multiplication(codomain(A),codomain(B)),C),C) -> true
% 230.78/230.80  Current number of equations to process: 2980
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1937
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2824]
% 230.78/230.80  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C) -> true
% 230.78/230.80  Current number of equations to process: 2988
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1938
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2825]
% 230.78/230.80  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 230.78/230.80  true
% 230.78/230.80  Current number of equations to process: 3002
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1939
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2826]
% 230.78/230.80  leq(multiplication(coantidomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 230.78/230.80  Current number of equations to process: 3010
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1940
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2827]
% 230.78/230.80  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C) -> true
% 230.78/230.80  Current number of equations to process: 3012
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1941
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2828]
% 230.78/230.80  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),C) ->
% 230.78/230.80  true
% 230.78/230.80  Current number of equations to process: 3020
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1942
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2829]
% 230.78/230.80  leq(multiplication(codomain(A),B),multiplication(B,backward_diamond(B,A))) ->
% 230.78/230.80  true
% 230.78/230.80  Current number of equations to process: 3058
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1943
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2830]
% 230.78/230.80  coantidomain(backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),
% 230.78/230.80               multiplication(C,B))) -> one
% 230.78/230.80  Current number of equations to process: 3137
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1944
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2831]
% 230.78/230.80  multiplication(multiplication(c(forward_diamond(A,c(B))),A),multiplication(
% 230.78/230.80                                                              c(B),C)) -> zero
% 230.78/230.80  Current number of equations to process: 3141
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1945
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2832]
% 230.78/230.80  multiplication(c(A),B) addition multiplication(codomain(c(A)),B) ->
% 230.78/230.80  multiplication(codomain(c(A)),B)
% 230.78/230.80  Current number of equations to process: 3140
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1946
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2833]
% 230.78/230.80  multiplication(multiplication(multiplication(A,B),C),coantidomain(backward_diamond(
% 230.78/230.80                                                                    multiplication(B,C),A)))
% 230.78/230.80  -> zero
% 230.78/230.80  Current number of equations to process: 3138
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1947
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2834]
% 230.78/230.80  multiplication(multiplication(A,multiplication(B,C)),coantidomain(backward_diamond(C,
% 230.78/230.80                                                                    multiplication(A,B))))
% 230.78/230.80  -> zero
% 230.78/230.80  Current number of equations to process: 3137
% 230.78/230.80  Current number of ordered equations: 0
% 230.78/230.80  Current number of rules: 1948
% 230.78/230.80  New rule produced :
% 230.78/230.80  [2835]
% 230.78/230.80  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(
% 230.78/230.80                                                                      backward_diamond(C,B)),X0))
% 231.06/231.12  -> zero
% 231.06/231.12  Current number of equations to process: 3136
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1949
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2836]
% 231.06/231.12  multiplication(multiplication(A,B),coantidomain(backward_diamond(multiplication(A,B),
% 231.06/231.12                                                  c(c(A))))) -> zero
% 231.06/231.12  Current number of equations to process: 3133
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1950
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2837]
% 231.06/231.12  multiplication(codomain(A),B) addition multiplication(B,backward_diamond(B,A))
% 231.06/231.12  -> multiplication(B,backward_diamond(B,A))
% 231.06/231.12  Current number of equations to process: 3132
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1951
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2838]
% 231.06/231.12  leq(multiplication(multiplication(c(A),B),backward_diamond(C,X0)),B addition X1)
% 231.06/231.12  -> true
% 231.06/231.12  Current number of equations to process: 3131
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1952
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2839]
% 231.06/231.12  leq(multiplication(multiplication(A,c(B)),backward_diamond(C,X0)),A addition X1)
% 231.06/231.12  -> true
% 231.06/231.12  Current number of equations to process: 3130
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1953
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2840]
% 231.06/231.12  leq(multiplication(multiplication(A,codomain(B)),backward_diamond(C,X0)),
% 231.06/231.12  A addition X1) -> true
% 231.06/231.12  Current number of equations to process: 3128
% 231.06/231.12  Current number of ordered equations: 1
% 231.06/231.12  Current number of rules: 1954
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2841]
% 231.06/231.12  leq(multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)),
% 231.06/231.12  A addition X1) -> true
% 231.06/231.12  Current number of equations to process: 3128
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1955
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2842]
% 231.06/231.12  leq(multiplication(multiplication(codomain(A),B),backward_diamond(C,X0)),
% 231.06/231.12  B addition X1) -> true
% 231.06/231.12  Current number of equations to process: 3126
% 231.06/231.12  Current number of ordered equations: 1
% 231.06/231.12  Current number of rules: 1956
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2843]
% 231.06/231.12  leq(multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)),
% 231.06/231.12  B addition X1) -> true
% 231.06/231.12  Current number of equations to process: 3126
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1957
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2844]
% 231.06/231.12  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),backward_diamond(X0,X1)),one)
% 231.06/231.12  -> true
% 231.06/231.12  Current number of equations to process: 3121
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1958
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2845]
% 231.06/231.12  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 231.06/231.12      backward_diamond(X0,X1)),one) -> true
% 231.06/231.12  Current number of equations to process: 3120
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1959
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2846]
% 231.06/231.12  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),backward_diamond(X0,X1)),one)
% 231.06/231.12  -> true
% 231.06/231.12  Current number of equations to process: 3119
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1960
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2847]
% 231.06/231.12  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 231.06/231.12      backward_diamond(X0,X1)),one) -> true
% 231.06/231.12  Current number of equations to process: 3118
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1961
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2848]
% 231.06/231.12  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 231.06/231.12      backward_diamond(X0,X1)),one) -> true
% 231.06/231.12  Current number of equations to process: 3117
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1962
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2849]
% 231.06/231.12  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 231.06/231.12      backward_diamond(X0,X1)),one) -> true
% 231.06/231.12  Current number of equations to process: 3116
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1963
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2850]
% 231.06/231.12  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 231.06/231.12      backward_diamond(X0,X1)),one) -> true
% 231.06/231.12  Current number of equations to process: 3115
% 231.06/231.12  Current number of ordered equations: 0
% 231.06/231.12  Current number of rules: 1964
% 231.06/231.12  New rule produced :
% 231.06/231.12  [2851]
% 231.06/231.12  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 231.06/231.12      backward_diamond(X0,X1)),one) -> true
% 231.06/231.12  Current number of equations to process: 3114
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1965
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2852]
% 231.36/231.42  multiplication(multiplication(A,B),multiplication(multiplication(C,coantidomain(
% 231.36/231.42                                                                     backward_diamond(C,B))),X0))
% 231.36/231.42  -> zero
% 231.36/231.42  Current number of equations to process: 3111
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1966
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2853]
% 231.36/231.42  multiplication(backward_diamond(A,B),coantidomain(backward_diamond(backward_diamond(A,B),
% 231.36/231.42                                                    backward_diamond(A,B)))) ->
% 231.36/231.42  zero
% 231.36/231.42  Current number of equations to process: 3110
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1967
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2854]
% 231.36/231.42  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 231.36/231.42                                               coantidomain(backward_diamond(B,A))))
% 231.36/231.42  -> zero
% 231.36/231.42  Current number of equations to process: 3109
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1968
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2855]
% 231.36/231.42  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 231.36/231.42                                               coantidomain(backward_diamond(B,A))))
% 231.36/231.42  -> zero
% 231.36/231.42  Current number of equations to process: 3108
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1969
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2856]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(c(C),X0)),X0 addition X1)
% 231.36/231.42  -> true
% 231.36/231.42  Current number of equations to process: 3107
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1970
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2857]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(C,c(X0))),C addition X1)
% 231.36/231.42  -> true
% 231.36/231.42  Current number of equations to process: 3106
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1971
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2858]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(C,codomain(X0))),
% 231.36/231.42  C addition X1) -> true
% 231.36/231.42  Current number of equations to process: 3104
% 231.36/231.42  Current number of ordered equations: 1
% 231.36/231.42  Current number of rules: 1972
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2859]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))),
% 231.36/231.42  C addition X1) -> true
% 231.36/231.42  Current number of equations to process: 3104
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1973
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2860]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),X0)),
% 231.36/231.42  X0 addition X1) -> true
% 231.36/231.42  Current number of equations to process: 3102
% 231.36/231.42  Current number of ordered equations: 1
% 231.36/231.42  Current number of rules: 1974
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2861]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)),
% 231.36/231.42  X0 addition X1) -> true
% 231.36/231.42  Current number of equations to process: 3102
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1975
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2862]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 231.36/231.42                                           codomain(X1))),one) -> true
% 231.36/231.42  Current number of equations to process: 3097
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1976
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2863]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 231.36/231.42                                           codomain(X1))),one) -> true
% 231.36/231.42  Current number of equations to process: 3096
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1977
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2864]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),forward_diamond(X0,X1))),one)
% 231.36/231.42  -> true
% 231.36/231.42  Current number of equations to process: 3095
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1978
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2865]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),backward_diamond(X0,X1))),one)
% 231.36/231.42  -> true
% 231.36/231.42  Current number of equations to process: 3094
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1979
% 231.36/231.42  New rule produced :
% 231.36/231.42  [2866]
% 231.36/231.42  leq(multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 231.36/231.42                                           coantidomain(X1))),one) -> true
% 231.36/231.42  Current number of equations to process: 3093
% 231.36/231.42  Current number of ordered equations: 0
% 231.36/231.42  Current number of rules: 1980
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2867]
% 237.61/237.66  leq(multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 237.61/237.66                                           coantidomain(X1))),one) -> true
% 237.61/237.66  Current number of equations to process: 3092
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1981
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2868]
% 237.61/237.66  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 237.61/237.66                                           forward_diamond(X0,X1))),one) ->
% 237.61/237.66  true
% 237.61/237.66  Current number of equations to process: 3091
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1982
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2869]
% 237.61/237.66  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 237.61/237.66                                           backward_diamond(X0,X1))),one) ->
% 237.61/237.66  true
% 237.61/237.66  Current number of equations to process: 3090
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1983
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2870]
% 237.61/237.66  multiplication(multiplication(A,B),codomain(multiplication(B,codomain(
% 237.61/237.66                                                               multiplication(A,B)))))
% 237.61/237.66  -> multiplication(A,B)
% 237.61/237.66  Current number of equations to process: 3159
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1984
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2871]
% 237.61/237.66  coantidomain(backward_diamond(coantidomain(multiplication(A,codomain(
% 237.61/237.66                                                              multiplication(B,A)))),
% 237.61/237.66               multiplication(B,A))) -> one
% 237.61/237.66  Current number of equations to process: 3158
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1985
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2872]
% 237.61/237.66  leq(multiplication(A,multiplication(codomain(B),codomain(C))),A addition X0)
% 237.61/237.66  -> true
% 237.61/237.66  Current number of equations to process: 3221
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1986
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2873]
% 237.61/237.66  multiplication(c(codomain(A)),coantidomain(backward_diamond(codomain(
% 237.61/237.66                                                              c(codomain(A))),
% 237.61/237.66                                             coantidomain(A)))) -> zero
% 237.61/237.66  Current number of equations to process: 3323
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1987
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2874]
% 237.61/237.66  leq(multiplication(multiplication(multiplication(c(A),B),codomain(C)),
% 237.61/237.66      codomain(X0)),B) -> true
% 237.61/237.66  Current number of equations to process: 3322
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1988
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2875]
% 237.61/237.66  leq(multiplication(multiplication(multiplication(A,c(B)),codomain(C)),
% 237.61/237.66      codomain(X0)),A) -> true
% 237.61/237.66  Current number of equations to process: 3321
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1989
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2876]
% 237.61/237.66  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A addition X0)
% 237.61/237.66  -> true
% 237.61/237.66  Current number of equations to process: 3387
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1990
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2877]
% 237.61/237.66  leq(multiplication(codomain(A),codomain(B)),c(c(codomain(A))) addition C) ->
% 237.61/237.66  true
% 237.61/237.66  Current number of equations to process: 3489
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1991
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2878]
% 237.61/237.66  leq(multiplication(multiplication(multiplication(c(A),B),coantidomain(C)),
% 237.61/237.66      codomain(X0)),B) -> true
% 237.61/237.66  Current number of equations to process: 3488
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1992
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2879]
% 237.61/237.66  leq(multiplication(multiplication(multiplication(A,c(B)),coantidomain(C)),
% 237.61/237.66      codomain(X0)),A) -> true
% 237.61/237.66  Current number of equations to process: 3487
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1993
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2880]
% 237.61/237.66  leq(multiplication(coantidomain(A),codomain(B)),c(c(coantidomain(A))) addition C)
% 237.61/237.66  -> true
% 237.61/237.66  Current number of equations to process: 3652
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1994
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2881]
% 237.61/237.66  leq(multiplication(multiplication(codomain(A),multiplication(c(B),C)),
% 237.61/237.66      codomain(X0)),C) -> true
% 237.61/237.66  Current number of equations to process: 3651
% 237.61/237.66  Current number of ordered equations: 0
% 237.61/237.66  Current number of rules: 1995
% 237.61/237.66  New rule produced :
% 237.61/237.66  [2882]
% 237.61/237.66  leq(multiplication(multiplication(codomain(A),multiplication(B,c(C))),
% 250.56/250.57      codomain(X0)),B) -> true
% 250.56/250.57  Current number of equations to process: 3650
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 1996
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2883]
% 250.56/250.57  leq(multiplication(multiplication(coantidomain(A),multiplication(c(B),C)),
% 250.56/250.57      codomain(X0)),C) -> true
% 250.56/250.57  Current number of equations to process: 3817
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 1997
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2884]
% 250.56/250.57  leq(multiplication(multiplication(coantidomain(A),multiplication(B,c(C))),
% 250.56/250.57      codomain(X0)),B) -> true
% 250.56/250.57  Current number of equations to process: 3816
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 1998
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2885]
% 250.56/250.57  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A addition X0)
% 250.56/250.57  -> true
% 250.56/250.57  Current number of equations to process: 3880
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 1999
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2886]
% 250.56/250.57  leq(multiplication(multiplication(multiplication(c(A),B),codomain(C)),
% 250.56/250.57      coantidomain(X0)),B) -> true
% 250.56/250.57  Current number of equations to process: 3982
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2000
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2887]
% 250.56/250.57  leq(multiplication(multiplication(multiplication(A,c(B)),codomain(C)),
% 250.56/250.57      coantidomain(X0)),A) -> true
% 250.56/250.57  Current number of equations to process: 3981
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2001
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2888]
% 250.56/250.57  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),
% 250.56/250.57  A addition X0) -> true
% 250.56/250.57  Current number of equations to process: 4047
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2002
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2889]
% 250.56/250.57  leq(multiplication(codomain(A),coantidomain(B)),c(c(codomain(A))) addition C)
% 250.56/250.57  -> true
% 250.56/250.57  Current number of equations to process: 4149
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2003
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2890]
% 250.56/250.57  leq(multiplication(multiplication(multiplication(c(A),B),coantidomain(C)),
% 250.56/250.57      coantidomain(X0)),B) -> true
% 250.56/250.57  Current number of equations to process: 4148
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2004
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2891]
% 250.56/250.57  leq(multiplication(multiplication(multiplication(A,c(B)),coantidomain(C)),
% 250.56/250.57      coantidomain(X0)),A) -> true
% 250.56/250.57  Current number of equations to process: 4147
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2005
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2892]
% 250.56/250.57  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(A))) addition C)
% 250.56/250.57  -> true
% 250.56/250.57  Current number of equations to process: 4314
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2006
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2893]
% 250.56/250.57  leq(multiplication(multiplication(codomain(A),multiplication(c(B),C)),
% 250.56/250.57      coantidomain(X0)),C) -> true
% 250.56/250.57  Current number of equations to process: 4313
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2007
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2894]
% 250.56/250.57  leq(multiplication(multiplication(codomain(A),multiplication(B,c(C))),
% 250.56/250.57      coantidomain(X0)),B) -> true
% 250.56/250.57  Current number of equations to process: 4312
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2008
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2895]
% 250.56/250.57  leq(multiplication(multiplication(coantidomain(A),multiplication(c(B),C)),
% 250.56/250.57      coantidomain(X0)),C) -> true
% 250.56/250.57  Current number of equations to process: 4478
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2009
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2896]
% 250.56/250.57  leq(multiplication(multiplication(coantidomain(A),multiplication(B,c(C))),
% 250.56/250.57      coantidomain(X0)),B) -> true
% 250.56/250.57  Current number of equations to process: 4477
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2010
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2897]
% 250.56/250.57  leq(multiplication(c(A),B) addition multiplication(B,backward_diamond(C,X0)),B)
% 250.56/250.57  -> true
% 250.56/250.57  Current number of equations to process: 4701
% 250.56/250.57  Current number of ordered equations: 0
% 250.56/250.57  Current number of rules: 2011
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2898]
% 250.56/250.57  leq(c(A) addition multiplication(c(c(A)),backward_diamond(B,C)),one) -> true
% 250.56/250.57  Current number of equations to process: 4726
% 250.56/250.57  Current number of ordered equations: 1
% 250.56/250.57  Current number of rules: 2012
% 250.56/250.57  New rule produced :
% 250.56/250.57  [2899]
% 250.56/250.57  leq(c(c(A)) addition multiplication(c(A),backward_diamond(B,C)),one) -> true
% 263.82/263.92  Current number of equations to process: 4726
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2013
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2900]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(multiplication(c(B),C),
% 263.82/263.92                                 coantidomain(X0))),C) -> true
% 263.82/263.92  Current number of equations to process: 4956
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2014
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2901]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(multiplication(B,c(C)),
% 263.82/263.92                                 coantidomain(X0))),B) -> true
% 263.82/263.92  Current number of equations to process: 4955
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2015
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2902]
% 263.82/263.92  leq(multiplication(codomain(A),coantidomain(B)),c(c(coantidomain(B))) addition C)
% 263.82/263.92  -> true
% 263.82/263.92  Current number of equations to process: 2184
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2016
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2903]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(multiplication(c(B),C),
% 263.82/263.92                                 codomain(X0))),C) -> true
% 263.82/263.92  Current number of equations to process: 2183
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2017
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2904]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(multiplication(B,c(C)),
% 263.82/263.92                                 codomain(X0))),B) -> true
% 263.82/263.92  Current number of equations to process: 2182
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2018
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2905]
% 263.82/263.92  leq(multiplication(multiplication(codomain(A),codomain(B)),C),C addition X0)
% 263.82/263.92  -> true
% 263.82/263.92  Current number of equations to process: 2247
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2019
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2906]
% 263.82/263.92  leq(multiplication(codomain(A),codomain(B)),c(c(codomain(B))) addition C) ->
% 263.82/263.92  true
% 263.82/263.92  Current number of equations to process: 2349
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2020
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2907]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(
% 263.82/263.92                                                            c(C),X0))),X0) ->
% 263.82/263.92  true
% 263.82/263.92  Current number of equations to process: 2348
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2021
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2908]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(C,
% 263.82/263.92                                                            c(X0)))),C) -> true
% 263.82/263.92  Current number of equations to process: 2347
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2022
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2909]
% 263.82/263.92  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C addition X0)
% 263.82/263.92  -> true
% 263.82/263.92  Current number of equations to process: 2411
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2023
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2910]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 263.82/263.92                                                                c(C),X0))),X0)
% 263.82/263.92  -> true
% 263.82/263.92  Current number of equations to process: 2513
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2024
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2911]
% 263.82/263.92  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 263.82/263.92                                                                c(X0)))),C) ->
% 263.82/263.92  true
% 263.82/263.92  Current number of equations to process: 2512
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2025
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2912]
% 263.82/263.92  leq(multiplication(coantidomain(A),multiplication(multiplication(c(B),C),
% 263.82/263.92                                     coantidomain(X0))),C) -> true
% 263.82/263.92  Current number of equations to process: 2679
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2026
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2913]
% 263.82/263.92  leq(multiplication(coantidomain(A),multiplication(multiplication(B,c(C)),
% 263.82/263.92                                     coantidomain(X0))),B) -> true
% 263.82/263.92  Current number of equations to process: 2678
% 263.82/263.92  Current number of ordered equations: 0
% 263.82/263.92  Current number of rules: 2027
% 263.82/263.92  New rule produced :
% 263.82/263.92  [2914]
% 263.82/263.92  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(B))) addition C)
% 263.82/263.92  -> true
% 263.82/263.92  Current number of equations to process: 2846
% 263.82/263.92  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2028
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2915]
% 273.20/273.27  leq(multiplication(coantidomain(A),multiplication(multiplication(c(B),C),
% 273.20/273.27                                     codomain(X0))),C) -> true
% 273.20/273.27  Current number of equations to process: 2845
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2029
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2916]
% 273.20/273.27  leq(multiplication(coantidomain(A),multiplication(multiplication(B,c(C)),
% 273.20/273.27                                     codomain(X0))),B) -> true
% 273.20/273.27  Current number of equations to process: 2844
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2030
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2917]
% 273.20/273.27  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C addition X0)
% 273.20/273.27  -> true
% 273.20/273.27  Current number of equations to process: 2909
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2031
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2918]
% 273.20/273.27  leq(multiplication(coantidomain(A),codomain(B)),c(c(codomain(B))) addition C)
% 273.20/273.27  -> true
% 273.20/273.27  Current number of equations to process: 3011
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2032
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2919]
% 273.20/273.27  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(
% 273.20/273.27                                                                c(C),X0))),X0)
% 273.20/273.27  -> true
% 273.20/273.27  Current number of equations to process: 3010
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2033
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2920]
% 273.20/273.27  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(C,
% 273.20/273.27                                                                c(X0)))),C) ->
% 273.20/273.27  true
% 273.20/273.27  Current number of equations to process: 3009
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2034
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2921]
% 273.20/273.27  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),
% 273.20/273.27  C addition X0) -> true
% 273.20/273.27  Current number of equations to process: 3074
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2035
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2922]
% 273.20/273.27  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 273.20/273.27                                                                    c(C),X0))),X0)
% 273.20/273.27  -> true
% 273.20/273.27  Current number of equations to process: 3176
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2036
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2923]
% 273.20/273.27  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(C,
% 273.20/273.27                                                                    c(X0)))),C)
% 273.20/273.27  -> true
% 273.20/273.27  Current number of equations to process: 3175
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2037
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2924]
% 273.20/273.27  leq(multiplication(backward_diamond(A,B),C) addition multiplication(c(X0),C),C)
% 273.20/273.27  -> true
% 273.20/273.27  Current number of equations to process: 3399
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2038
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2925]
% 273.20/273.27  leq(c(A) addition multiplication(backward_diamond(B,C),c(c(A))),one) -> true
% 273.20/273.27  Current number of equations to process: 3423
% 273.20/273.27  Current number of ordered equations: 1
% 273.20/273.27  Current number of rules: 2039
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2926]
% 273.20/273.27  leq(c(c(A)) addition multiplication(backward_diamond(B,C),c(A)),one) -> true
% 273.20/273.27  Current number of equations to process: 3423
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2040
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2927]
% 273.20/273.27  c(A) addition multiplication(forward_diamond(B,C),c(c(A))) ->
% 273.20/273.27  forward_diamond(B,C) addition c(A)
% 273.20/273.27  Current number of equations to process: 3442
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2041
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2928]
% 273.20/273.27  c(A) addition multiplication(backward_diamond(B,C),c(c(A))) ->
% 273.20/273.27  backward_diamond(B,C) addition c(A)
% 273.20/273.27  Rule
% 273.20/273.27  [2925]
% 273.20/273.27  leq(c(A) addition multiplication(backward_diamond(B,C),c(c(A))),one) -> true
% 273.20/273.27  collapsed.
% 273.20/273.27  Current number of equations to process: 3441
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2041
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2929]
% 273.20/273.27  c(A) addition multiplication(c(c(A)),forward_diamond(B,C)) ->
% 273.20/273.27  forward_diamond(B,C) addition c(A)
% 273.20/273.27  Current number of equations to process: 3440
% 273.20/273.27  Current number of ordered equations: 0
% 273.20/273.27  Current number of rules: 2042
% 273.20/273.27  New rule produced :
% 273.20/273.27  [2930]
% 273.20/273.27  c(A) addition multiplication(c(c(A)),backward_diamond(B,C)) ->
% 273.20/273.27  backward_diamond(B,C) addition c(A)
% 280.80/280.82  Rule
% 280.80/280.82  [2898]
% 280.80/280.82  leq(c(A) addition multiplication(c(c(A)),backward_diamond(B,C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Current number of equations to process: 3439
% 280.80/280.82  Current number of ordered equations: 0
% 280.80/280.82  Current number of rules: 2042
% 280.80/280.82  New rule produced :
% 280.80/280.82  [2931]
% 280.80/280.82  multiplication(multiplication(codomain(A),B),multiplication(backward_diamond(B,A),C))
% 280.80/280.82  -> multiplication(multiplication(codomain(A),B),C)
% 280.80/280.82  Current number of equations to process: 3438
% 280.80/280.82  Current number of ordered equations: 0
% 280.80/280.82  Current number of rules: 2043
% 280.80/280.82  New rule produced :
% 280.80/280.82  [2932]
% 280.80/280.82  backward_diamond(multiplication(backward_diamond(A,B),C),multiplication(
% 280.80/280.82                                                           codomain(B),A)) ->
% 280.80/280.82  backward_diamond(C,multiplication(codomain(B),A))
% 280.80/280.82  Current number of equations to process: 3437
% 280.80/280.82  Current number of ordered equations: 0
% 280.80/280.82  Current number of rules: 2044
% 280.80/280.82  New rule produced :
% 280.80/280.82  [2933]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),multiplication(C,backward_diamond(C,B)))
% 280.80/280.82  -> multiplication(A,multiplication(codomain(B),C))
% 280.80/280.82  Current number of equations to process: 3436
% 280.80/280.82  Current number of ordered equations: 0
% 280.80/280.82  Current number of rules: 2045
% 280.80/280.82  New rule produced :
% 280.80/280.82  [2934]
% 280.80/280.82  multiplication(multiplication(multiplication(A,codomain(B)),C),backward_diamond(C,B))
% 280.80/280.82  -> multiplication(A,multiplication(codomain(B),C))
% 280.80/280.82  Current number of equations to process: 3433
% 280.80/280.82  Current number of ordered equations: 0
% 280.80/280.82  Current number of rules: 2046
% 280.80/280.82  New rule produced : [2935] coantidomain(A) -> c(codomain(A))
% 280.80/280.82  Rule [7] coantidomain(coantidomain(X0)) -> codomain(X0) collapsed.
% 280.80/280.82  Rule [10] multiplication(X0,coantidomain(X0)) -> zero collapsed.
% 280.80/280.82  Rule [17] codomain(X0) addition coantidomain(X0) -> one collapsed.
% 280.80/280.82  Rule [32] coantidomain(one) -> zero collapsed.
% 280.80/280.82  Rule [37] coantidomain(codomain(A)) -> coantidomain(A) collapsed.
% 280.80/280.82  Rule [44] one addition coantidomain(A) -> one collapsed.
% 280.80/280.82  Rule [45] multiplication(coantidomain(A),codomain(A)) -> zero collapsed.
% 280.80/280.82  Rule [53] multiplication(multiplication(A,B),coantidomain(B)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [55] multiplication(A,multiplication(coantidomain(A),B)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [69]
% 280.80/280.82  multiplication(A,codomain(B)) addition multiplication(A,coantidomain(B)) -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [71]
% 280.80/280.82  multiplication(codomain(B),A) addition multiplication(coantidomain(B),A) -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [84] ifeq2(one,codomain(A),leq(coantidomain(A),codomain(A)),true) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [85] ifeq2(one,coantidomain(A),leq(codomain(A),coantidomain(A)),true) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [92]
% 280.80/280.82  ifeq(leq(codomain(A),coantidomain(A)),true,one,coantidomain(A)) ->
% 280.80/280.82  coantidomain(A) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [93]
% 280.80/280.82  ifeq(leq(coantidomain(A),codomain(A)),true,one,codomain(A)) -> codomain(A)
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [120] coantidomain(zero) -> one collapsed.
% 280.80/280.82  Rule [148] leq(coantidomain(A),one) -> true collapsed.
% 280.80/280.82  Rule [149] leq(coantidomain(A),one addition B) -> true collapsed.
% 280.80/280.82  Rule [150] multiplication(A,coantidomain(B)) addition A -> A collapsed.
% 280.80/280.82  Rule [151] multiplication(coantidomain(B),A) addition A -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [152] multiplication(multiplication(A,coantidomain(B)),codomain(B)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [153] multiplication(coantidomain(A),multiplication(codomain(A),B)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [157] ifeq2(one,coantidomain(A),leq(one,coantidomain(A)),true) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [180]
% 280.80/280.82  ifeq(leq(one,coantidomain(A)),true,one,coantidomain(A)) -> coantidomain(A)
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [181]
% 280.80/280.82  backward_diamond(A,B) addition coantidomain(backward_diamond(A,B)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [187]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(coantidomain(B),C)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [201]
% 280.80/280.82  backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [210]
% 280.80/280.82  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule [219] leq(coantidomain(A) addition B,one addition B) -> true collapsed.
% 280.80/280.82  Rule [226] leq(coantidomain(A) addition B,one addition B addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [257] multiplication(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [260] leq(multiplication(A,coantidomain(B)),A) -> true collapsed.
% 280.80/280.82  Rule [262] leq(multiplication(A,coantidomain(B)),A addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [269] leq(multiplication(A,coantidomain(B)) addition C,A addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [283] leq(multiplication(coantidomain(A),B),B) -> true collapsed.
% 280.80/280.82  Rule [285] leq(multiplication(coantidomain(A),B),B addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [287] leq(multiplication(coantidomain(A),B) addition C,B addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [288]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C))))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [297]
% 280.80/280.82  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 280.80/280.82  multiplication(codomain(B),A)) -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [321]
% 280.80/280.82  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 280.80/280.82  codomain(A) addition coantidomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [323]
% 280.80/280.82  codomain(B) addition multiplication(codomain(A),coantidomain(B)) ->
% 280.80/280.82  codomain(A) addition codomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [324]
% 280.80/280.82  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 280.80/280.82  codomain(B) addition coantidomain(A) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [325]
% 280.80/280.82  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) ->
% 280.80/280.82  coantidomain(A) addition coantidomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [326]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(B),C))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [329]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(C),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [331]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [340]
% 280.80/280.82  ifeq2(one addition A,one,leq(coantidomain(B) addition A,one),true) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [341]
% 280.80/280.82  ifeq(leq(coantidomain(A) addition B,one),true,one addition B,one) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [351]
% 280.80/280.82  leq(multiplication(A,coantidomain(B)) addition C,A addition C addition X0) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [355]
% 280.80/280.82  leq(multiplication(coantidomain(A),B) addition C,B addition C addition X0) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [357]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 280.80/280.82                                                                     multiplication(B,C)),X0)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [358]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 280.80/280.82                                                       coantidomain(multiplication(C,X0))))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [360]
% 280.80/280.82  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(A,
% 280.80/280.82                                                                    multiplication(B,C))))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [362]
% 280.80/280.82  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 280.80/280.82  coantidomain(multiplication(C,X0))) -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [364]
% 280.80/280.82  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 280.80/280.82                                                                      multiplication(B,C)),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule [381] multiplication(A,coantidomain(A addition B)) -> zero collapsed.
% 280.80/280.82  Rule [419] codomain(coantidomain(A)) -> coantidomain(A) collapsed.
% 280.80/280.82  Rule [420] backward_diamond(coantidomain(A),A) -> zero collapsed.
% 280.80/280.82  Rule [421] multiplication(codomain(A),coantidomain(A)) -> zero collapsed.
% 280.80/280.82  Rule [425] backward_diamond(multiplication(coantidomain(A),B),A) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [426]
% 280.80/280.82  coantidomain(multiplication(codomain(B),A)) ->
% 280.80/280.82  coantidomain(backward_diamond(A,B)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [427]
% 280.80/280.82  coantidomain(backward_diamond(X1,X0)) addition coantidomain(multiplication(X0,X1))
% 280.80/280.82  -> coantidomain(backward_diamond(X1,X0)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [432] multiplication(multiplication(A,codomain(B)),coantidomain(B)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [434] multiplication(codomain(A),multiplication(coantidomain(A),B)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [436]
% 280.80/280.82  multiplication(coantidomain(backward_diamond(B,A)),backward_diamond(B,A)) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [437]
% 280.80/280.82  backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),B) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [440]
% 280.80/280.82  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,A)) ->
% 280.80/280.82  one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [441]
% 280.80/280.82  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A))) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [443]
% 280.80/280.82  coantidomain(multiplication(backward_diamond(C,B),A)) ->
% 280.80/280.82  coantidomain(backward_diamond(A,multiplication(codomain(B),C))) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [444]
% 280.80/280.82  coantidomain(multiplication(multiplication(codomain(C),A),B)) ->
% 280.80/280.82  coantidomain(backward_diamond(multiplication(A,B),C)) collapsed.
% 280.80/280.82  Rule [513] one addition multiplication(coantidomain(A),codomain(B)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [518] one addition multiplication(codomain(A),coantidomain(B)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [523]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),codomain(C)) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [527]
% 280.80/280.82  multiplication(multiplication(coantidomain(A),B),codomain(C)) addition B -> B
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [535]
% 280.80/280.82  multiplication(codomain(A),multiplication(B,coantidomain(C))) addition B -> B
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [539]
% 280.80/280.82  multiplication(codomain(A),multiplication(coantidomain(B),C)) addition C -> C
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [540] one addition multiplication(coantidomain(A),coantidomain(B)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [541] one addition multiplication(c(A),coantidomain(B)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [542]
% 280.80/280.82  one addition multiplication(forward_diamond(A,B),coantidomain(C)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [544]
% 280.80/280.82  one addition multiplication(backward_diamond(A,B),coantidomain(C)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [547]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),coantidomain(C)) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [548]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),coantidomain(C)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [551]
% 280.80/280.82  multiplication(multiplication(coantidomain(A),B),coantidomain(C)) addition B
% 280.80/280.82  -> B collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [552]
% 280.80/280.82  multiplication(multiplication(codomain(A),B),coantidomain(C)) addition B -> B
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [553] one addition multiplication(coantidomain(A),c(B)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [554]
% 280.80/280.82  one addition multiplication(coantidomain(A),forward_diamond(B,C)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [556]
% 280.80/280.82  one addition multiplication(coantidomain(A),backward_diamond(B,C)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [559]
% 280.80/280.82  multiplication(coantidomain(A),multiplication(B,coantidomain(C))) addition B
% 280.80/280.82  -> B collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [560]
% 280.80/280.82  multiplication(coantidomain(A),multiplication(B,codomain(C))) addition B -> B
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [563]
% 280.80/280.82  multiplication(coantidomain(A),multiplication(codomain(B),C)) addition C -> C
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [564]
% 280.80/280.82  multiplication(coantidomain(A),multiplication(coantidomain(B),C)) addition C
% 280.80/280.82  -> C collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [565]
% 280.80/280.82  backward_diamond(multiplication(A,multiplication(coantidomain(backward_diamond(A,B)),C)),B)
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [585]
% 280.80/280.82  codomain(A) addition multiplication(coantidomain(A),codomain(B)) ->
% 280.80/280.82  codomain(A) addition codomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [586]
% 280.80/280.82  coantidomain(B) addition multiplication(codomain(B),codomain(A)) ->
% 280.80/280.82  codomain(A) addition coantidomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [587]
% 280.80/280.82  coantidomain(B) addition multiplication(codomain(A),codomain(B)) ->
% 280.80/280.82  codomain(A) addition coantidomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [588]
% 280.80/280.82  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) ->
% 280.80/280.82  coantidomain(A) addition coantidomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [589]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 280.80/280.82  backward_diamond(B,C)) -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [591]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),coantidomain(B)) ->
% 280.80/280.82  multiplication(A,coantidomain(B)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [593]
% 280.80/280.82  multiplication(coantidomain(backward_diamond(A,B)),multiplication(backward_diamond(A,B),C))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [597]
% 280.80/280.82  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A)) addition C)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [614]
% 280.80/280.82  multiplication(A,multiplication(B,coantidomain(C))) addition multiplication(A,B)
% 280.80/280.82  -> multiplication(A,B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [615]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(C)),B) addition multiplication(A,B)
% 280.80/280.82  -> multiplication(A,B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [616]
% 280.80/280.82  multiplication(multiplication(coantidomain(A),B),C) addition multiplication(B,C)
% 280.80/280.82  -> multiplication(B,C) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [617]
% 280.80/280.82  multiplication(A,multiplication(coantidomain(C),B)) addition multiplication(A,B)
% 280.80/280.82  -> multiplication(A,B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [618]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,coantidomain(C))),multiplication(
% 280.80/280.82                                                                     codomain(C),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [619]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 280.80/280.82                                                                  codomain(B),C),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule [620] forward_diamond(coantidomain(A),codomain(A)) -> zero collapsed.
% 280.80/280.82  Rule [678] multiplication(coantidomain(A),c(c(codomain(A)))) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [742]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(B),C))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule [755] leq(codomain(A) addition coantidomain(B),one) -> true collapsed.
% 280.80/280.82  Rule [759] leq(coantidomain(A) addition coantidomain(B),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [760] leq(c(A) addition coantidomain(B),one) -> true collapsed.
% 280.80/280.82  Rule [761] leq(forward_diamond(A,B) addition coantidomain(C),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [762] leq(backward_diamond(A,B) addition coantidomain(C),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [770] leq(codomain(A) addition coantidomain(B),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [775] leq(coantidomain(A) addition coantidomain(B),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [778] leq(c(A) addition coantidomain(B),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [779]
% 280.80/280.82  leq(forward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [780]
% 280.80/280.82  leq(backward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [807]
% 280.80/280.82  leq(codomain(A) addition coantidomain(B) addition C,one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [809]
% 280.80/280.82  leq(coantidomain(A) addition coantidomain(B) addition C,one addition C) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [810] leq(c(A) addition coantidomain(B) addition C,one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [819]
% 280.80/280.82  leq(codomain(A) addition multiplication(B,coantidomain(C)),one addition B) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [821]
% 280.80/280.82  leq(codomain(A) addition multiplication(coantidomain(B),C),one addition C) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [824]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [825]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [826]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [827]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [831]
% 280.80/280.82  leq(c(A) addition multiplication(B,coantidomain(C)),one addition B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [833]
% 280.80/280.82  leq(c(A) addition multiplication(coantidomain(B),C),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [867] backward_diamond(codomain(A),coantidomain(A)) -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [870]
% 280.80/280.82  multiplication(multiplication(A,B),coantidomain(backward_diamond(B,A))) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [886]
% 280.80/280.82  multiplication(coantidomain(A),multiplication(coantidomain(A),B)) ->
% 280.80/280.82  multiplication(coantidomain(A),B) collapsed.
% 280.80/280.82  Rule [889] leq(multiplication(coantidomain(A),codomain(B)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [892] leq(multiplication(coantidomain(A),codomain(B)),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [897]
% 280.80/280.82  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [899]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [907] leq(multiplication(codomain(A),coantidomain(B)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [908] leq(multiplication(coantidomain(A),coantidomain(B)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [909] leq(multiplication(codomain(A),coantidomain(B)),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [910]
% 280.80/280.82  leq(multiplication(coantidomain(A),coantidomain(B)),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [913]
% 280.80/280.82  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [914]
% 280.80/280.82  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),A) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [915]
% 280.80/280.82  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [916]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),B) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule [917] leq(multiplication(c(A),coantidomain(B)),one) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [919] leq(multiplication(forward_diamond(A,B),coantidomain(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [920] leq(multiplication(backward_diamond(A,B),coantidomain(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [921] leq(multiplication(c(A),coantidomain(B)),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [924]
% 280.80/280.82  multiplication(multiplication(multiplication(A,B),C),coantidomain(backward_diamond(C,B)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [926]
% 280.80/280.82  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B))
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [931]
% 280.80/280.82  leq(multiplication(forward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [932]
% 280.80/280.82  leq(multiplication(backward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule [933] multiplication(c(codomain(A)),coantidomain(A)) -> c(codomain(A))
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [934] multiplication(c(coantidomain(A)),codomain(A)) -> c(coantidomain(A))
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [961]
% 280.80/280.82  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(B,A)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [963]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [966]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [974]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),B) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [975]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [976]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [977]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),C) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule [978] leq(multiplication(coantidomain(A),c(B)),one) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [980] leq(multiplication(coantidomain(A),forward_diamond(B,C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [981] leq(multiplication(coantidomain(A),backward_diamond(B,C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [982] leq(multiplication(coantidomain(A),c(B)),one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [989]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C))
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [994]
% 280.80/280.82  leq(multiplication(coantidomain(A),forward_diamond(B,C)),one addition X0) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [995]
% 280.80/280.82  leq(multiplication(coantidomain(A),backward_diamond(B,C)),one addition X0) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [996]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(C,coantidomain(backward_diamond(C,B))))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1005]
% 280.80/280.82  multiplication(multiplication(A,B),coantidomain(multiplication(B,codomain(
% 280.80/280.82                                                                   multiplication(A,B)))))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1016]
% 280.80/280.82  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1018]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1021]
% 280.80/280.82  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1022]
% 280.80/280.82  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.80/280.82  A addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1023]
% 280.80/280.82  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1024]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 280.80/280.82  B addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1032]
% 280.80/280.82  leq(multiplication(A,codomain(B)) addition multiplication(A,coantidomain(C)),A)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1033]
% 280.80/280.82  leq(multiplication(coantidomain(A),B) addition multiplication(B,codomain(C)),B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1036]
% 280.80/280.82  leq(multiplication(codomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1037]
% 280.80/280.82  leq(multiplication(A,coantidomain(B)) addition multiplication(A,coantidomain(C)),A)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1038]
% 280.80/280.82  leq(multiplication(coantidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1049]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1052]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1055]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 280.80/280.82  B addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1056]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1057]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1058]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 280.80/280.82  C addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1064]
% 280.80/280.82  leq(multiplication(codomain(A),B) addition multiplication(coantidomain(C),B),B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1066]
% 280.80/280.82  leq(multiplication(coantidomain(A),B) addition multiplication(coantidomain(C),B),B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1086]
% 280.80/280.82  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 280.80/280.82  c(A) addition coantidomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1089]
% 280.80/280.82  c(c(A)) addition multiplication(coantidomain(B),c(A)) ->
% 280.80/280.82  c(c(A)) addition coantidomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1092]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(B),C))
% 280.80/280.82  -> multiplication(A,multiplication(coantidomain(B),C)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1095]
% 280.80/280.82  codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(A)) ->
% 280.80/280.82  backward_diamond(B,C) addition codomain(A) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1098]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,codomain(C))),multiplication(
% 280.80/280.82                                                                 coantidomain(C),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1099]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),multiplication(multiplication(
% 280.80/280.82                                                              coantidomain(B),C),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1111]
% 280.80/280.82  leq(multiplication(coantidomain(A),codomain(B)) addition C,one addition C) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1115]
% 280.80/280.82  leq(multiplication(coantidomain(A),coantidomain(B)) addition C,one addition C)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1116]
% 280.80/280.82  leq(multiplication(codomain(A),coantidomain(B)) addition C,one addition C) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1118]
% 280.80/280.82  leq(multiplication(c(A),coantidomain(B)) addition C,one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1121]
% 280.80/280.82  leq(multiplication(coantidomain(A),c(B)) addition C,one addition C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1122]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),multiplication(C,coantidomain(
% 280.80/280.82                                                                backward_diamond(C,B))))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1123]
% 280.80/280.82  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 280.80/280.82                                                                 backward_diamond(C,B)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1124]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(coantidomain(backward_diamond(B,A)),C))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1125]
% 280.80/280.82  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(
% 280.80/280.82                                                              backward_diamond(B,A)),C))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1127]
% 280.80/280.82  coantidomain(codomain(B) addition multiplication(codomain(B),A)) ->
% 280.80/280.82  coantidomain(backward_diamond(one addition A,B)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1148]
% 280.80/280.82  multiplication(A,backward_diamond(B,C)) addition multiplication(A,coantidomain(
% 280.80/280.82                                                                    backward_diamond(B,C)))
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1149]
% 280.80/280.82  multiplication(backward_diamond(B,C),A) addition multiplication(coantidomain(
% 280.80/280.82                                                                  backward_diamond(B,C)),A)
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1150]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 280.80/280.82                                                                      coantidomain(C),X0),X1))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1151]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(multiplication(multiplication(
% 280.80/280.82                                                                   coantidomain(B),C),X0),X1))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1152]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,multiplication(C,X0))),
% 280.80/280.82  multiplication(coantidomain(X0),X1)) -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1157]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(multiplication(C,coantidomain(
% 280.80/280.82                                                                     multiplication(B,C))),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1163]
% 280.80/280.82  leq(forward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1164]
% 280.80/280.82  leq(backward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1168]
% 280.80/280.82  leq(forward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 280.80/280.82  one addition C) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1170]
% 280.80/280.82  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1174]
% 280.80/280.82  leq(backward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 280.80/280.82  one addition C) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1176]
% 280.80/280.82  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1183]
% 280.80/280.82  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B) addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1187]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C) addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1198]
% 280.80/280.82  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1199]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1200]
% 280.80/280.82  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1202]
% 280.80/280.82  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1203]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1204]
% 280.80/280.82  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1206]
% 280.80/280.82  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1207]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1208]
% 280.80/280.82  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one addition X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1209]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 280.80/280.82  multiplication(backward_diamond(B,C),X0)) -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1222]
% 280.80/280.82  leq(multiplication(forward_diamond(A,B),coantidomain(C)) addition X0,
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1223]
% 280.80/280.82  leq(multiplication(backward_diamond(A,B),coantidomain(C)) addition X0,
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1237]
% 280.80/280.82  leq(multiplication(coantidomain(A),forward_diamond(B,C)) addition X0,
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1238]
% 280.80/280.82  leq(multiplication(coantidomain(A),backward_diamond(B,C)) addition X0,
% 280.80/280.82  one addition X0) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1239]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 280.80/280.82                                                                     backward_diamond(C,B)),X0)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1241]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 280.80/280.82                                                       coantidomain(backward_diamond(X0,C))))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1243]
% 280.80/280.82  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 280.80/280.82  coantidomain(backward_diamond(X0,C))) -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1246]
% 280.80/280.82  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 280.80/280.82                                                                      backward_diamond(C,B)),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule [1253] forward_diamond(multiplication(c(A),coantidomain(B)),A) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1257]
% 280.80/280.82  forward_diamond(multiplication(c(B),coantidomain(C)) addition A,B) ->
% 280.80/280.82  forward_diamond(A,B) collapsed.
% 280.80/280.82  Rule [1271] coantidomain(one addition A) -> zero collapsed.
% 280.80/280.82  Rule [1272] backward_diamond(coantidomain(codomain(A) addition B),A) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1273] multiplication(multiplication(A,B),coantidomain(B addition C)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1274] multiplication(A,multiplication(coantidomain(A addition B),C)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1276] multiplication(multiplication(A,codomain(B)),coantidomain(A)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1277]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),coantidomain(A)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1281]
% 280.80/280.82  codomain(A) addition coantidomain(coantidomain(A) addition B) -> codomain(A)
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1282]
% 280.80/280.82  backward_diamond(multiplication(coantidomain(codomain(A) addition B),C),A) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1283]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),coantidomain(A addition C)) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1284]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),coantidomain(A addition C))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1290]
% 280.80/280.82  multiplication(codomain(A),coantidomain(coantidomain(A) addition B)) ->
% 280.80/280.82  coantidomain(coantidomain(A) addition B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1291]
% 280.80/280.82  multiplication(coantidomain(A),coantidomain(codomain(A) addition B)) ->
% 280.80/280.82  coantidomain(codomain(A) addition B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1292]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(coantidomain(B addition C),X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1293]
% 280.80/280.82  multiplication(multiplication(A,multiplication(B,C)),coantidomain(C addition X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1294]
% 280.80/280.82  backward_diamond(coantidomain(codomain(B) addition C) addition A,B) ->
% 280.80/280.82  backward_diamond(A,B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1297]
% 280.80/280.82  codomain(coantidomain(A) addition B) addition coantidomain(A) ->
% 280.80/280.82  codomain(coantidomain(A) addition B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1299]
% 280.80/280.82  backward_diamond(coantidomain(backward_diamond(A,B) addition C),multiplication(
% 280.80/280.82                                                                  codomain(B),A))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1300]
% 280.80/280.82  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A) addition C)),B)
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1301]
% 280.80/280.82  backward_diamond(multiplication(multiplication(coantidomain(codomain(A) addition B),C),X0),A)
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1331]
% 280.80/280.82  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C) addition X0)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1332]
% 280.80/280.82  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C) addition X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1353]
% 280.80/280.82  codomain(multiplication(coantidomain(A),B)) ->
% 280.80/280.82  backward_diamond(B,coantidomain(A)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1354]
% 280.80/280.82  backward_diamond(coantidomain(B) addition A,B) -> backward_diamond(A,B)
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1355]
% 280.80/280.82  backward_diamond(multiplication(multiplication(coantidomain(A),B),C),A) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1357]
% 280.80/280.82  backward_diamond(multiplication(codomain(A),B),coantidomain(A)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1360]
% 280.80/280.82  coantidomain(multiplication(coantidomain(A),B)) ->
% 280.80/280.82  coantidomain(backward_diamond(B,coantidomain(A))) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1361]
% 280.80/280.82  codomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 280.80/280.82  backward_diamond(multiplication(B,C),coantidomain(A)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1363]
% 280.80/280.82  backward_diamond(coantidomain(backward_diamond(A,coantidomain(B))),multiplication(
% 280.80/280.82                                                                     coantidomain(B),A))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1364]
% 280.80/280.82  backward_diamond(multiplication(multiplication(multiplication(coantidomain(A),B),C),X0),A)
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1365]
% 280.80/280.82  codomain(coantidomain(A) addition multiplication(coantidomain(A),B)) ->
% 280.80/280.82  backward_diamond(one addition B,coantidomain(A)) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1368]
% 280.80/280.82  coantidomain(backward_diamond(codomain(A),multiplication(B,coantidomain(A))))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1369]
% 280.80/280.82  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,A)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1370]
% 280.80/280.82  coantidomain(backward_diamond(multiplication(codomain(A),B),multiplication(C,
% 280.80/280.82                                                              coantidomain(A))))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1371]
% 280.80/280.82  coantidomain(backward_diamond(coantidomain(multiplication(A,B)),multiplication(
% 280.80/280.82                                                                  multiplication(C,A),B)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1373]
% 280.80/280.82  coantidomain(backward_diamond(multiplication(A,coantidomain(multiplication(B,A))),
% 280.80/280.82               multiplication(C,B))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1374]
% 280.80/280.82  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 280.80/280.82                                                                  multiplication(X0,A))))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1376]
% 280.80/280.82  coantidomain(backward_diamond(multiplication(multiplication(coantidomain(A),B),C),
% 280.80/280.82               multiplication(X0,A))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1380] coantidomain(backward_diamond(coantidomain(A addition B),A)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1381]
% 280.80/280.82  multiplication(coantidomain(multiplication(A,B)),backward_diamond(B,A)) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule [1384] backward_diamond(coantidomain(A),multiplication(B,A)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1386]
% 280.80/280.82  coantidomain(backward_diamond(coantidomain(A),multiplication(B,codomain(A))))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1388]
% 280.80/280.82  backward_diamond(multiplication(coantidomain(B),C) addition A,B) ->
% 280.80/280.82  backward_diamond(A,B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1410]
% 280.80/280.82  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A)) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1422] multiplication(multiplication(A,coantidomain(B)),c(C)) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1424] multiplication(multiplication(coantidomain(A),B),c(C)) addition B -> B
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1431] multiplication(multiplication(A,c(B)),coantidomain(C)) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1432] multiplication(coantidomain(B),multiplication(A,c(C))) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1435] leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1438] leq(multiplication(coantidomain(A),multiplication(B,c(C))),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1440] multiplication(multiplication(A,c(B)),coantidomain(A)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1451] leq(c(codomain(A)),coantidomain(A)) -> true collapsed.
% 280.80/280.82  Rule [1452] leq(c(coantidomain(A)),codomain(A)) -> true collapsed.
% 280.80/280.82  Rule [1455] c(codomain(A)) addition coantidomain(A) -> coantidomain(A)
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1456] c(coantidomain(A)) addition codomain(A) -> codomain(A) collapsed.
% 280.80/280.82  Rule [1457] c(forward_diamond(A,coantidomain(A))) -> one collapsed.
% 280.80/280.82  Rule [1461] multiplication(c(A),multiplication(coantidomain(B),A)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1465] coantidomain(backward_diamond(A,c(A addition B))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1466] multiplication(c(c(A)),coantidomain(c(A))) -> coantidomain(c(A))
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1473] leq(c(codomain(A)),coantidomain(A) addition B) -> true collapsed.
% 280.80/280.82  Rule [1474] leq(c(coantidomain(A)),codomain(A) addition B) -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1478]
% 280.80/280.82  c(forward_diamond(codomain(A),multiplication(coantidomain(A),c(c(B))))) ->
% 280.80/280.82  one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1480] multiplication(c(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1483] c(coantidomain(A) addition B) addition codomain(A) -> codomain(A)
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1484] c(forward_diamond(multiplication(A,B),coantidomain(B))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1485] c(forward_diamond(A,multiplication(coantidomain(A),B))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1490]
% 280.80/280.82  multiplication(multiplication(A,c(B)),coantidomain(A addition C)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1492] multiplication(c(A),multiplication(B,coantidomain(C))) addition B -> B
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1495] multiplication(c(A),multiplication(coantidomain(B),C)) addition C -> C
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1498] multiplication(multiplication(c(A),B),coantidomain(C)) addition B -> B
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1499] multiplication(coantidomain(A),multiplication(c(B),C)) addition C -> C
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1501] leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1503] leq(multiplication(multiplication(coantidomain(A),B),c(C)),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1507] leq(multiplication(multiplication(c(A),B),coantidomain(C)),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1509] leq(multiplication(c(A),multiplication(B,coantidomain(C))),B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1511] leq(multiplication(c(A),multiplication(coantidomain(B),C)),C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1515] leq(multiplication(coantidomain(A),multiplication(c(B),C)),C) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1516]
% 280.80/280.82  multiplication(c(A addition B),multiplication(coantidomain(C),A)) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1520]
% 280.80/280.82  c(forward_diamond(multiplication(A,B),multiplication(coantidomain(B),c(c(C)))))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1522]
% 280.80/280.82  c(forward_diamond(A,multiplication(multiplication(coantidomain(A),B),c(c(C)))))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1525]
% 280.80/280.82  c(forward_diamond(A,multiplication(coantidomain(A addition B),c(c(C))))) ->
% 280.80/280.82  one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1526]
% 280.80/280.82  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,c(A)))) ->
% 280.80/280.82  one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1530]
% 280.80/280.82  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A)) ->
% 280.80/280.82  zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1531]
% 280.80/280.82  multiplication(A,multiplication(coantidomain(B),codomain(C))) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1532]
% 280.80/280.82  multiplication(multiplication(coantidomain(B),codomain(C)),A) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1540]
% 280.80/280.82  multiplication(multiplication(A,c(coantidomain(B))),codomain(B)) ->
% 280.80/280.82  multiplication(A,c(coantidomain(B))) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1541]
% 280.80/280.82  multiplication(multiplication(A,c(codomain(B))),coantidomain(B)) ->
% 280.80/280.82  multiplication(A,c(codomain(B))) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1542]
% 280.80/280.82  codomain(B) addition multiplication(c(A),coantidomain(B)) ->
% 280.80/280.82  c(A) addition codomain(B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1543]
% 280.80/280.82  codomain(A) addition multiplication(coantidomain(A),c(B)) ->
% 280.80/280.82  c(B) addition codomain(A) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1547]
% 280.80/280.82  multiplication(A,multiplication(codomain(B),coantidomain(C))) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1548]
% 280.80/280.82  multiplication(multiplication(codomain(B),coantidomain(C)),A) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1549]
% 280.80/280.82  coantidomain(A) addition multiplication(codomain(A),c(B)) ->
% 280.80/280.82  c(B) addition coantidomain(A) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1550]
% 280.80/280.82  coantidomain(A) addition multiplication(c(B),codomain(A)) ->
% 280.80/280.82  c(B) addition coantidomain(A) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1551]
% 280.80/280.82  c(forward_diamond(multiplication(A,coantidomain(B)),codomain(B))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1552]
% 280.80/280.82  c(forward_diamond(coantidomain(A),multiplication(codomain(A),B))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1557]
% 280.80/280.82  multiplication(c(codomain(A)),multiplication(coantidomain(A),B)) ->
% 280.80/280.82  multiplication(c(codomain(A)),B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1558]
% 280.80/280.82  multiplication(c(coantidomain(A)),multiplication(codomain(A),B)) ->
% 280.80/280.82  multiplication(c(coantidomain(A)),B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1559]
% 280.80/280.82  multiplication(multiplication(c(coantidomain(A)),B),coantidomain(backward_diamond(B,A)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule [1564] leq(c(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule [1565] leq(c(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1567]
% 280.80/280.82  multiplication(c(coantidomain(A) addition B),codomain(A)) ->
% 280.80/280.82  c(coantidomain(A) addition B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1568]
% 280.80/280.82  multiplication(c(codomain(A) addition B),coantidomain(A)) ->
% 280.80/280.82  c(codomain(A) addition B) collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1573]
% 280.80/280.82  c(forward_diamond(multiplication(A,coantidomain(B)),multiplication(codomain(B),
% 280.80/280.82                                                      c(c(C))))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1574]
% 280.80/280.82  c(forward_diamond(coantidomain(A),multiplication(multiplication(codomain(A),B),
% 280.80/280.82                                    c(c(C))))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1575]
% 280.80/280.82  multiplication(c(coantidomain(backward_diamond(A,B))),coantidomain(multiplication(B,A)))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1576]
% 280.80/280.82  c(forward_diamond(multiplication(A,codomain(B)),multiplication(coantidomain(B),
% 280.80/280.82                                                  c(c(C))))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1577]
% 280.80/280.82  c(forward_diamond(codomain(A),multiplication(multiplication(coantidomain(A),B),
% 280.80/280.82                                c(c(C))))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1578]
% 280.80/280.82  codomain(c(A)) addition coantidomain(backward_diamond(c(A),c(A))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1579]
% 280.80/280.82  leq(coantidomain(c(A)),coantidomain(backward_diamond(c(A),c(A)))) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1580]
% 280.80/280.82  coantidomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 280.80/280.82  coantidomain(backward_diamond(multiplication(B,C),coantidomain(A)))
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1582]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),forward_diamond(C,X0)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1584]
% 280.80/280.82  multiplication(multiplication(coantidomain(A),B),forward_diamond(C,X0)) addition B
% 280.80/280.82  -> B collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1591]
% 280.80/280.82  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1592]
% 280.80/280.82  multiplication(coantidomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1595]
% 280.80/280.82  leq(multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)),A)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1598]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(B,forward_diamond(C,X0))),B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1599]
% 280.80/280.82  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A addition X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1601]
% 280.80/280.82  multiplication(forward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 280.80/280.82  -> C collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1603]
% 280.80/280.82  multiplication(forward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 280.80/280.82  -> X0 collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1610]
% 280.80/280.82  multiplication(multiplication(forward_diamond(B,C),A),coantidomain(X0)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1611]
% 280.80/280.82  multiplication(coantidomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1614]
% 280.80/280.82  leq(multiplication(multiplication(forward_diamond(A,B),C),coantidomain(X0)),C)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1617]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1620]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1622]
% 280.80/280.82  multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)) addition B
% 280.80/280.82  -> B collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1625]
% 280.80/280.82  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1626]
% 280.80/280.82  multiplication(coantidomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1628]
% 280.80/280.82  leq(multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)),A)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1630]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1631]
% 280.80/280.82  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A addition X0))
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1637]
% 280.80/280.82  multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 280.80/280.82  -> C collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1639]
% 280.80/280.82  multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 280.80/280.82  -> X0 collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1642]
% 280.80/280.82  multiplication(multiplication(backward_diamond(B,C),A),coantidomain(X0)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1643]
% 280.80/280.82  multiplication(coantidomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1645]
% 280.80/280.82  leq(multiplication(multiplication(backward_diamond(A,B),C),coantidomain(X0)),C)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1647]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1652]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 280.80/280.82               codomain(C)) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1653]
% 280.80/280.82  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 280.80/280.82                                          codomain(C))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1654]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 280.80/280.82               coantidomain(C)) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1655]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 280.80/280.82                                              codomain(C))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1656]
% 280.80/280.82  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1657]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1658]
% 280.80/280.82  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1659]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),codomain(B)),codomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1660]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),codomain(B)),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1661]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1662]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1663]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),codomain(B)),c(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1664]
% 280.80/280.82  one addition multiplication(c(A),multiplication(coantidomain(B),codomain(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1667]
% 280.80/280.82  one addition multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1668]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 280.80/280.82                                              codomain(C))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1670]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(codomain(B),codomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1673]
% 280.80/280.82  leq(multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1675]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(codomain(B),codomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1680]
% 280.80/280.82  one addition multiplication(multiplication(c(A),codomain(B)),coantidomain(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1681]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(c(B),codomain(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1683]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1686]
% 280.80/280.82  leq(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1688]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1693]
% 280.80/280.82  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 280.80/280.82               codomain(C)) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1694]
% 280.80/280.82  one addition multiplication(codomain(A),multiplication(codomain(B),coantidomain(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1695]
% 280.80/280.82  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 280.80/280.82               coantidomain(C)) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1696]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 280.80/280.82                                              coantidomain(C))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1697]
% 280.80/280.82  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1698]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1699]
% 280.80/280.82  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1700]
% 280.80/280.82  leq(multiplication(multiplication(codomain(A),coantidomain(B)),codomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1701]
% 280.80/280.82  leq(multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1702]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1703]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1704]
% 280.80/280.82  one addition multiplication(multiplication(codomain(A),coantidomain(B)),c(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1705]
% 280.80/280.82  one addition multiplication(c(A),multiplication(codomain(B),coantidomain(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1709]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 280.80/280.82                                               coantidomain(A))) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1710]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 280.80/280.82               codomain(C)) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1711]
% 280.80/280.82  one addition multiplication(multiplication(c(A),coantidomain(B)),codomain(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1712]
% 280.80/280.82  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),A)
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1713]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 280.80/280.82                                                   coantidomain(A))) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1717]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),c(B)),codomain(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1723]
% 280.80/280.82  one addition multiplication(multiplication(codomain(A),c(B)),coantidomain(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1724]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(codomain(B),c(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1726]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1729]
% 280.80/280.82  leq(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1731]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(codomain(B),c(C))),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1739]
% 280.80/280.82  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 280.80/280.82                                          coantidomain(C))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1740]
% 280.80/280.82  one addition multiplication(codomain(A),multiplication(c(B),coantidomain(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1743]
% 280.80/280.82  one addition multiplication(codomain(A),multiplication(coantidomain(B),c(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1744]
% 280.80/280.82  multiplication(A,multiplication(coantidomain(B),coantidomain(C))) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1745]
% 280.80/280.82  multiplication(multiplication(coantidomain(B),coantidomain(C)),A) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1746] multiplication(A,multiplication(c(B),coantidomain(C))) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1747] multiplication(multiplication(c(B),coantidomain(C)),A) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1748]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 280.80/280.82               coantidomain(C)) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1749]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 280.80/280.82                                              coantidomain(C))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1750]
% 280.80/280.82  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1751]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1752]
% 280.80/280.82  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1753]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),codomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1754]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1755]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1756]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1757]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 280.80/280.82               c(C)) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1758]
% 280.80/280.82  one addition multiplication(c(A),multiplication(coantidomain(B),coantidomain(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1759]
% 280.80/280.82  one addition multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1760]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(c(B),coantidomain(C)))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1761]
% 280.80/280.82  leq(codomain(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1762]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(c(B),coantidomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1763] leq(c(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1764]
% 280.80/280.82  leq(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1765]
% 280.80/280.82  leq(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1766]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1767]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1768]
% 280.80/280.82  one addition multiplication(multiplication(c(A),coantidomain(B)),c(C)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1769]
% 280.80/280.82  one addition multiplication(c(A),multiplication(c(B),coantidomain(C))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1770]
% 280.80/280.82  multiplication(A,multiplication(forward_diamond(B,C),coantidomain(X0))) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1771]
% 280.80/280.82  multiplication(multiplication(forward_diamond(B,C),coantidomain(X0)),A) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1772]
% 280.80/280.82  multiplication(A,multiplication(backward_diamond(B,C),coantidomain(X0))) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1773]
% 280.80/280.82  multiplication(multiplication(backward_diamond(B,C),coantidomain(X0)),A) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1774]
% 280.80/280.82  forward_diamond(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),A)
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1775]
% 280.80/280.82  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 280.80/280.82                                               coantidomain(A))) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1776]
% 280.80/280.82  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),A)
% 280.80/280.82  -> zero collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1777]
% 280.80/280.82  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 280.80/280.82                                                   coantidomain(A))) -> zero
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1778]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C))
% 280.80/280.82  -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1781] multiplication(A,multiplication(coantidomain(B),c(C))) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1782] multiplication(multiplication(coantidomain(B),c(C)),A) addition A -> A
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1784]
% 280.80/280.82  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 280.80/280.82                                              c(C))) -> one collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1785]
% 280.80/280.82  leq(codomain(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1786]
% 280.80/280.82  leq(coantidomain(A) addition multiplication(coantidomain(B),c(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1787] leq(c(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1788]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1789]
% 280.80/280.82  leq(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1790]
% 280.80/280.82  leq(multiplication(codomain(A),multiplication(coantidomain(B),c(C))),one) ->
% 280.80/280.82  true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1791]
% 280.80/280.82  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),c(C))),one)
% 280.80/280.82  -> true collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1792]
% 280.80/280.82  one addition multiplication(multiplication(coantidomain(A),c(B)),c(C)) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1793]
% 280.80/280.82  one addition multiplication(c(A),multiplication(coantidomain(B),c(C))) -> one
% 280.80/280.82  collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1794]
% 280.80/280.82  multiplication(A,multiplication(coantidomain(B),forward_diamond(C,X0))) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.82  Rule
% 280.80/280.82  [1795]
% 280.80/280.82  multiplication(multiplication(coantidomain(B),forward_diamond(C,X0)),A) addition A
% 280.80/280.82  -> A collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1796]
% 280.80/280.83  multiplication(A,multiplication(coantidomain(B),backward_diamond(C,X0))) addition A
% 280.80/280.83  -> A collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1797]
% 280.80/280.83  multiplication(multiplication(coantidomain(B),backward_diamond(C,X0)),A) addition A
% 280.80/280.83  -> A collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1800]
% 280.80/280.83  backward_diamond(multiplication(multiplication(A,coantidomain(backward_diamond(A,B))),C),B)
% 280.80/280.83  -> zero collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1801]
% 280.80/280.83  multiplication(c(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 280.80/280.83  -> c(backward_diamond(A,B)) collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1803]
% 280.80/280.83  multiplication(c(c(A)),multiplication(coantidomain(c(A)),B)) ->
% 280.80/280.83  multiplication(coantidomain(c(A)),B) collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1805]
% 280.80/280.83  c(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 280.80/280.83  c(A) addition coantidomain(B) collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1806]
% 280.80/280.83  coantidomain(codomain(A) addition B) addition coantidomain(A) ->
% 280.80/280.83  coantidomain(A) collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1817]
% 280.80/280.83  leq(coantidomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 280.80/280.83  collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1818]
% 280.80/280.83  leq(coantidomain(A) addition multiplication(c(B),C),one addition C) -> true
% 280.80/280.83  collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1822]
% 280.80/280.83  leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1824]
% 280.80/280.83  leq(multiplication(multiplication(coantidomain(A),B),c(C)),B addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1827]
% 280.80/280.83  multiplication(multiplication(c(codomain(A)),B),coantidomain(backward_diamond(B,
% 280.80/280.83                                                               coantidomain(A))))
% 280.80/280.83  -> zero collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1828]
% 280.80/280.83  multiplication(c(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 280.80/280.83  -> c(coantidomain(backward_diamond(A,B))) collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1833]
% 280.80/280.83  leq(multiplication(A,c(C)) addition multiplication(A,coantidomain(B)),A) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1834]
% 280.80/280.83  leq(multiplication(coantidomain(A),B) addition multiplication(B,c(C)),B) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1837]
% 280.80/280.83  leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1838]
% 280.80/280.83  leq(multiplication(multiplication(c(A),B),coantidomain(C)),B addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1840]
% 280.80/280.83  leq(multiplication(c(A),B) addition multiplication(B,coantidomain(C)),B) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1842]
% 280.80/280.83  leq(multiplication(c(A),multiplication(B,coantidomain(C))),B addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1844]
% 280.80/280.83  leq(multiplication(c(A),multiplication(coantidomain(B),C)),C addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1849]
% 280.80/280.83  leq(multiplication(c(C),B) addition multiplication(coantidomain(A),B),B) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1852]
% 280.80/280.83  leq(multiplication(coantidomain(A),multiplication(B,c(C))),B addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1853]
% 280.80/280.83  leq(multiplication(coantidomain(A),multiplication(c(B),C)),C addition X0) ->
% 280.80/280.83  true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1855]
% 280.80/280.83  c(forward_diamond(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),
% 280.80/280.83                                        c(c(X0))))) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1858]
% 280.80/280.83  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),c(
% 280.80/280.83                                                                      multiplication(A,B))))
% 280.80/280.83  -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1859]
% 280.80/280.83  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 280.80/280.83                                                                     c(A)))))
% 280.80/280.83  -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1860]
% 280.80/280.83  coantidomain(backward_diamond(multiplication(A,B),multiplication(c(multiplication(C,A)),C)))
% 280.80/280.83  -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1861]
% 280.80/280.83  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 280.80/280.83                                                                      c(A))))
% 280.80/280.83  -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1862]
% 280.80/280.83  c(forward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 280.80/280.83                                                        backward_diamond(A,B),
% 280.80/280.83                                                        c(c(C))))) -> one
% 280.80/280.83  collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1883]
% 280.80/280.83  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 280.80/280.83  -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1884]
% 280.80/280.83  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 280.80/280.83  -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1885]
% 280.80/280.83  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 280.80/280.83               forward_diamond(C,X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1886]
% 280.80/280.83  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 280.80/280.83                                                   codomain(X0))) -> one
% 280.80/280.83  collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1887]
% 280.80/280.83  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 280.80/280.83               backward_diamond(C,X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1888]
% 280.80/280.83  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.80/280.83                                                    codomain(X0))) -> one
% 280.80/280.83  collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1903]
% 280.80/280.83  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 280.80/280.83               coantidomain(X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1904]
% 280.80/280.83  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 280.80/280.83                                              codomain(X0))) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1906]
% 280.80/280.83  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 280.80/280.83  -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1909]
% 280.80/280.83  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),coantidomain(X0)),one)
% 280.80/280.83  -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1911]
% 280.80/280.83  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 280.80/280.83                                     codomain(X0))),one) -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1914]
% 280.80/280.83  leq(backward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 280.80/280.83  -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1915]
% 280.80/280.83  leq(forward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 280.80/280.83  -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1916]
% 280.80/280.83  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 280.80/280.83               forward_diamond(C,X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1917]
% 280.80/280.83  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 280.80/280.83                                                   coantidomain(X0))) -> one
% 280.80/280.83  collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1918]
% 280.80/280.83  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 280.80/280.83               backward_diamond(C,X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1919]
% 280.80/280.83  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 280.80/280.83                                                    coantidomain(X0))) -> one
% 280.80/280.83  collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1922]
% 280.80/280.83  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 280.80/280.83               coantidomain(X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1923]
% 280.80/280.83  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 280.80/280.83                                              codomain(X0))) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1925]
% 280.80/280.83  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 280.80/280.83  -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1928]
% 280.80/280.83  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 280.80/280.83      coantidomain(X0)),one) -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1930]
% 280.80/280.83  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 280.80/280.83                                     codomain(X0))),one) -> true collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1933]
% 280.80/280.83  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.80/280.83               codomain(X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1934]
% 280.80/280.83  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.80/280.83               codomain(X0)) -> one collapsed.
% 280.80/280.83  Rule
% 280.80/280.83  [1937]
% 280.80/280.83  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83               codomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1938]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83               codomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1946]
% 280.83/280.83  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 280.83/280.83               coantidomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1947]
% 280.83/280.83  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 280.83/280.83                                              forward_diamond(C,X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1949]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1952]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1954]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1958]
% 280.83/280.83  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 280.83/280.83               coantidomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1959]
% 280.83/280.83  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 280.83/280.83                                              backward_diamond(C,X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1961]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1964]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 280.83/280.83      coantidomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1966]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1969]
% 280.83/280.83  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 280.83/280.83                                          coantidomain(X0))) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1970]
% 280.83/280.83  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 280.83/280.83                                          coantidomain(X0))) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1971]
% 280.83/280.83  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 280.83/280.83                                          forward_diamond(C,X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1972]
% 280.83/280.83  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 280.83/280.83                                          backward_diamond(C,X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1973]
% 280.83/280.83  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1974]
% 280.83/280.83  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1975]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 280.83/280.83               forward_diamond(C,X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1976]
% 280.83/280.83  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                   coantidomain(X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1977]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 280.83/280.83               backward_diamond(C,X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1978]
% 280.83/280.83  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                    coantidomain(X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1979]
% 280.83/280.83  leq(backward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1980]
% 280.83/280.83  leq(forward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1981]
% 280.83/280.83  one addition multiplication(multiplication(c(A),coantidomain(B)),forward_diamond(C,X0))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1982]
% 280.83/280.83  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 280.83/280.83                                                   coantidomain(X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1983]
% 280.83/280.83  one addition multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1984]
% 280.83/280.83  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 280.83/280.83                                                    coantidomain(X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1985]
% 280.83/280.83  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               coantidomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1986]
% 280.83/280.83  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 280.83/280.83                                              coantidomain(X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1987]
% 280.83/280.83  leq(codomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1988]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1989]
% 280.83/280.83  leq(c(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1990]
% 280.83/280.83  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.83      codomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1991]
% 280.83/280.83  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.83      coantidomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1992]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),coantidomain(X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1993]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 280.83/280.83                                     coantidomain(X0))),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1994]
% 280.83/280.83  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               c(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1995]
% 280.83/280.83  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 280.83/280.83                                   coantidomain(X0))) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1996]
% 280.83/280.83  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               coantidomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1997]
% 280.83/280.83  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 280.83/280.83                                              coantidomain(X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1998]
% 280.83/280.83  leq(codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [1999]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2000]
% 280.83/280.83  leq(c(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2001]
% 280.83/280.83  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.83      codomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2002]
% 280.83/280.83  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.83      coantidomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2003]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),coantidomain(X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2004]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 280.83/280.83                                     coantidomain(X0))),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2005]
% 280.83/280.83  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               c(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2006]
% 280.83/280.83  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 280.83/280.83                                   coantidomain(X0))) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2007]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83               coantidomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2008]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83               coantidomain(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2009]
% 280.83/280.83  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2010]
% 280.83/280.83  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2011]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),c(B)),forward_diamond(C,X0))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2012]
% 280.83/280.83  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                   c(X0))) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2013]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2014]
% 280.83/280.83  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                    c(X0))) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2015]
% 280.83/280.83  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 280.83/280.83                                              forward_diamond(C,X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2016]
% 280.83/280.83  leq(codomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2017]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2018]
% 280.83/280.83  leq(c(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2019]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83      codomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2020]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83      coantidomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2021]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2022]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2023]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83               c(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2024]
% 280.83/280.83  one addition multiplication(c(A),multiplication(coantidomain(B),forward_diamond(C,X0)))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2025]
% 280.83/280.83  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 280.83/280.83                                              backward_diamond(C,X0))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2026]
% 280.83/280.83  leq(codomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2027]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2028]
% 280.83/280.83  leq(c(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2029]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83      codomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2030]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83      coantidomain(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2031]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2032]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2033]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83               c(X0)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2034]
% 280.83/280.83  one addition multiplication(c(A),multiplication(coantidomain(B),backward_diamond(C,X0)))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2035]
% 280.83/280.83  coantidomain(backward_diamond(backward_diamond(A,B),multiplication(C,
% 280.83/280.83                                                      coantidomain(backward_diamond(A,B)))))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2037]
% 280.83/280.83  coantidomain(backward_diamond(multiplication(backward_diamond(A,B),C),
% 280.83/280.83               coantidomain(backward_diamond(A,B)))) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2039]
% 280.83/280.83  multiplication(c(A),multiplication(coantidomain(c(c(A))),B)) ->
% 280.83/280.83  multiplication(coantidomain(c(c(A))),B) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2043]
% 280.83/280.83  c(c(A)) addition multiplication(c(A),coantidomain(B)) ->
% 280.83/280.83  c(c(A)) addition coantidomain(B) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2044]
% 280.83/280.83  multiplication(multiplication(A,multiplication(B,codomain(C))),coantidomain(
% 280.83/280.83                                                                 multiplication(A,B)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2046]
% 280.83/280.83  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(A),C))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2047]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 280.83/280.83                                                             codomain(A),C)) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2048]
% 280.83/280.83  multiplication(multiplication(multiplication(A,B),codomain(C)),multiplication(
% 280.83/280.83                                                                 coantidomain(B),X0))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2049]
% 280.83/280.83  multiplication(multiplication(codomain(A),codomain(B)),coantidomain(A)) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2050]
% 280.83/280.83  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 280.83/280.83                                                         coantidomain(A),C)) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2051]
% 280.83/280.83  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 280.83/280.83                                                                 multiplication(A,C)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2053]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(codomain(B),codomain(A))) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2054]
% 280.83/280.83  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(B)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2055]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 280.83/280.83                                                   codomain(B))) -> zero
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2056]
% 280.83/280.83  multiplication(multiplication(A,B),multiplication(codomain(C),multiplication(
% 280.83/280.83                                                                coantidomain(B),X0)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2057]
% 280.83/280.83  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 280.83/280.83                                               coantidomain(B))) -> zero
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2058]
% 280.83/280.83  multiplication(multiplication(A,multiplication(codomain(B),C)),coantidomain(
% 280.83/280.83                                                                 multiplication(A,C)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2059]
% 280.83/280.83  multiplication(coantidomain(backward_diamond(A,B)),multiplication(codomain(C),
% 280.83/280.83                                                     backward_diamond(A,B))) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2060]
% 280.83/280.83  multiplication(multiplication(A,multiplication(B,coantidomain(C))),coantidomain(
% 280.83/280.83                                                                     multiplication(A,B)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2061]
% 280.83/280.83  leq(multiplication(multiplication(A,coantidomain(B)),C),multiplication(A,C))
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2062]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(A),C))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2063]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 280.83/280.83                                                                 codomain(A),C))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2064]
% 280.83/280.83  multiplication(multiplication(multiplication(A,B),coantidomain(C)),multiplication(
% 280.83/280.83                                                                     coantidomain(B),X0))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2065]
% 280.83/280.83  multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(A))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2066]
% 280.83/280.83  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 280.83/280.83                                                             coantidomain(A),C))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2067]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),C),coantidomain(
% 280.83/280.83                                                                     multiplication(A,C)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2068]
% 280.83/280.83  leq(multiplication(A,multiplication(coantidomain(B),C)),multiplication(A,C))
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2069]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(A)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2070]
% 280.83/280.83  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(B)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2071]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 280.83/280.83                                                   codomain(B))) -> zero
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2072]
% 280.83/280.83  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(
% 280.83/280.83                                                                    coantidomain(B),X0)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2073]
% 280.83/280.83  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 280.83/280.83                                               coantidomain(B))) -> zero
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2074]
% 280.83/280.83  multiplication(multiplication(A,multiplication(coantidomain(B),C)),coantidomain(
% 280.83/280.83                                                                     multiplication(A,C)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2075]
% 280.83/280.83  multiplication(coantidomain(backward_diamond(A,B)),multiplication(coantidomain(C),
% 280.83/280.83                                                     backward_diamond(A,B))) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule [2076] forward_diamond(codomain(A),coantidomain(A)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2077]
% 280.83/280.83  forward_diamond(coantidomain(backward_diamond(A,B)),backward_diamond(A,B)) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2079]
% 280.83/280.83  forward_diamond(multiplication(multiplication(A,c(B)),coantidomain(C)),B) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2082]
% 280.83/280.83  forward_diamond(multiplication(A,multiplication(c(B),coantidomain(C))),B) ->
% 280.83/280.83  zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2089]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),codomain(B)),c(C)),one) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2092]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),coantidomain(B)),c(C)),one) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2094]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),c(C)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2095]
% 280.83/280.83  leq(multiplication(multiplication(c(A),coantidomain(B)),c(C)),one) -> true
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2096]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),c(B)),c(C)),one) -> true
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2102]
% 280.83/280.83  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.83      c(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2103]
% 280.83/280.83  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.83      c(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2104]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83      c(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2105]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83      c(X0)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2108]
% 280.83/280.83  coantidomain(C) addition multiplication(codomain(C),forward_diamond(A,B)) ->
% 280.83/280.83  forward_diamond(A,B) addition coantidomain(C) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2109]
% 280.83/280.83  codomain(C) addition multiplication(coantidomain(C),forward_diamond(A,B)) ->
% 280.83/280.83  forward_diamond(A,B) addition codomain(C) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2110]
% 280.83/280.83  coantidomain(C) addition multiplication(forward_diamond(A,B),codomain(C)) ->
% 280.83/280.83  forward_diamond(A,B) addition coantidomain(C) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2111]
% 280.83/280.83  codomain(C) addition multiplication(forward_diamond(A,B),coantidomain(C)) ->
% 280.83/280.83  forward_diamond(A,B) addition codomain(C) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2112]
% 280.83/280.83  coantidomain(C) addition multiplication(codomain(C),backward_diamond(A,B)) ->
% 280.83/280.83  backward_diamond(A,B) addition coantidomain(C) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2113]
% 280.83/280.83  codomain(C) addition multiplication(coantidomain(C),backward_diamond(A,B)) ->
% 280.83/280.83  backward_diamond(A,B) addition codomain(C) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2114]
% 280.83/280.83  coantidomain(C) addition multiplication(backward_diamond(A,B),codomain(C)) ->
% 280.83/280.83  backward_diamond(A,B) addition coantidomain(C) collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2139]
% 280.83/280.83  multiplication(multiplication(multiplication(A,c(coantidomain(B))),C),
% 280.83/280.83  coantidomain(backward_diamond(C,B))) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2141]
% 280.83/280.83  multiplication(multiplication(A,c(coantidomain(B))),multiplication(C,
% 280.83/280.83                                                      coantidomain(backward_diamond(C,B))))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2142]
% 280.83/280.83  leq(codomain(A) addition multiplication(c(B),coantidomain(C)),one addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2143]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(c(B),coantidomain(C)),one addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2144]
% 280.83/280.83  leq(c(A) addition multiplication(c(B),coantidomain(C)),one addition X0) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2145]
% 280.83/280.83  leq(codomain(A) addition multiplication(coantidomain(B),c(C)),one addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2146]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(coantidomain(B),c(C)),one addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2147]
% 280.83/280.83  leq(c(A) addition multiplication(coantidomain(B),c(C)),one addition X0) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2153]
% 280.83/280.83  leq(c(codomain(A)) addition B,coantidomain(A) addition B addition C) -> true
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2154]
% 280.83/280.83  leq(c(coantidomain(A)) addition B,codomain(A) addition B addition C) -> true
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2155]
% 280.83/280.83  multiplication(multiplication(c(coantidomain(A)),B),multiplication(coantidomain(
% 280.83/280.83                                                                     backward_diamond(B,A)),C))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2158]
% 280.83/280.83  c(forward_diamond(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 280.83/280.83                                                                     codomain(B),C),
% 280.83/280.83                                                      c(c(X0))))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2159]
% 280.83/280.83  backward_diamond(multiplication(coantidomain(backward_diamond(A,coantidomain(B))),C),
% 280.83/280.83  multiplication(coantidomain(B),A)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2160]
% 280.83/280.83  leq(multiplication(coantidomain(multiplication(A,B)),c(C)),coantidomain(
% 280.83/280.83                                                             backward_diamond(B,A)))
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2161]
% 280.83/280.83  leq(multiplication(coantidomain(multiplication(A,B)),codomain(C)),coantidomain(
% 280.83/280.83                                                                    backward_diamond(B,A)))
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2162]
% 280.83/280.83  leq(multiplication(coantidomain(multiplication(A,B)),coantidomain(C)),
% 280.83/280.83  coantidomain(backward_diamond(B,A))) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2163]
% 280.83/280.83  leq(multiplication(c(A),coantidomain(multiplication(B,C))),coantidomain(
% 280.83/280.83                                                             backward_diamond(C,B)))
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2164]
% 280.83/280.83  leq(multiplication(codomain(A),coantidomain(multiplication(B,C))),coantidomain(
% 280.83/280.83                                                                    backward_diamond(C,B)))
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2165]
% 280.83/280.83  leq(multiplication(coantidomain(A),coantidomain(multiplication(B,C))),
% 280.83/280.83  coantidomain(backward_diamond(C,B))) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2166]
% 280.83/280.83  multiplication(c(coantidomain(backward_diamond(A,B)) addition C),coantidomain(
% 280.83/280.83                                                                   multiplication(B,A)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2167]
% 280.83/280.83  multiplication(coantidomain(multiplication(A,B)),coantidomain(coantidomain(
% 280.83/280.83                                                                backward_diamond(B,A)) addition C))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2168]
% 280.83/280.83  codomain(c(codomain(A))) addition coantidomain(backward_diamond(coantidomain(A),
% 280.83/280.83                                                 c(codomain(A)))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2169]
% 280.83/280.83  codomain(c(coantidomain(A))) addition coantidomain(backward_diamond(codomain(A),
% 280.83/280.83                                                     c(coantidomain(A)))) ->
% 280.83/280.83  one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2170]
% 280.83/280.83  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(
% 280.83/280.83                                                      codomain(B),multiplication(A,B)))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2171]
% 280.83/280.83  leq(coantidomain(c(codomain(A))),coantidomain(backward_diamond(coantidomain(A),
% 280.83/280.83                                                c(codomain(A))))) -> true
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2172]
% 280.83/280.83  leq(coantidomain(c(coantidomain(A))),coantidomain(backward_diamond(codomain(A),
% 280.83/280.83                                                    c(coantidomain(A))))) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2173]
% 280.83/280.83  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(codomain(B),
% 280.83/280.83                                                     multiplication(A,B)))) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2178]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(B,forward_diamond(C,X0)),
% 280.83/280.83  one addition B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2182]
% 280.83/280.83  leq(multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)),
% 280.83/280.83  A addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2184]
% 280.83/280.83  leq(multiplication(A,forward_diamond(B,C)) addition multiplication(A,
% 280.83/280.83                                                      coantidomain(X0)),A) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2188]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(B,forward_diamond(C,X0))),
% 280.83/280.83  B addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2190]
% 280.83/280.83  leq(multiplication(coantidomain(A),B) addition multiplication(B,forward_diamond(C,X0)),B)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2195]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),X0),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2199]
% 280.83/280.83  leq(multiplication(multiplication(forward_diamond(A,B),C),coantidomain(X0)),
% 280.83/280.83  C addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2201]
% 280.83/280.83  leq(multiplication(forward_diamond(A,B),C) addition multiplication(C,
% 280.83/280.83                                                      coantidomain(X0)),C) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2205]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),X0)),
% 280.83/280.83  X0 addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2207]
% 280.83/280.83  leq(multiplication(forward_diamond(A,B),C) addition multiplication(coantidomain(X0),C),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2211]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(B,backward_diamond(C,X0)),
% 280.83/280.83  one addition B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2214]
% 280.83/280.83  leq(multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)),
% 280.83/280.83  A addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2216]
% 280.83/280.83  leq(multiplication(A,backward_diamond(B,C)) addition multiplication(A,
% 280.83/280.83                                                       coantidomain(X0)),A) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2218]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(B,backward_diamond(C,X0))),
% 280.83/280.83  B addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2220]
% 280.83/280.83  leq(multiplication(coantidomain(A),B) addition multiplication(B,backward_diamond(C,X0)),B)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2224]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),X0),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2227]
% 280.83/280.83  leq(multiplication(multiplication(backward_diamond(A,B),C),coantidomain(X0)),
% 280.83/280.83  C addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2229]
% 280.83/280.83  leq(multiplication(backward_diamond(A,B),C) addition multiplication(C,
% 280.83/280.83                                                       coantidomain(X0)),C) ->
% 280.83/280.83  true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2231]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),X0)),
% 280.83/280.83  X0 addition X1) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2233]
% 280.83/280.83  leq(multiplication(backward_diamond(A,B),C) addition multiplication(coantidomain(X0),C),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2234]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),codomain(B)),codomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2235]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),codomain(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2236]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),codomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2237]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2239]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(codomain(B),codomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2242]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2244]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),codomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2246]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(c(B),codomain(C)),one addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2249]
% 280.83/280.83  leq(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2251]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2258]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),coantidomain(B)),codomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2259]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2260]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(codomain(B),coantidomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2261]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),coantidomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2269]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.83  codomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2271]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2273]
% 280.83/280.83  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2274]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(A,codomain(C)),
% 280.83/280.83                                 codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2276]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 280.83/280.83      coantidomain(X0)),A) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2278]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(B,codomain(C)),
% 280.83/280.83                                     codomain(X0))),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2279]
% 280.83/280.83  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 280.83/280.83  coantidomain(A addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2284]
% 280.83/280.83  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.83  codomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2285]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.83  codomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2286]
% 280.83/280.83  multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2287]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2288]
% 280.83/280.83  multiplication(codomain(B),multiplication(multiplication(A,coantidomain(C)),
% 280.83/280.83                             codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2289]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2290]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(A,coantidomain(C)),
% 280.83/280.83                                 codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2291]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.83      codomain(X0)),A) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2292]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.83      coantidomain(X0)),A) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2293]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(multiplication(B,coantidomain(C)),
% 280.83/280.83                                 codomain(X0))),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2294]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(B,coantidomain(C)),
% 280.83/280.83                                     codomain(X0))),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2295]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.83  coantidomain(A addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2296]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2297]
% 280.83/280.83  multiplication(multiplication(multiplication(A,c(B)),coantidomain(C)),
% 280.83/280.83  codomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2298]
% 280.83/280.83  multiplication(multiplication(multiplication(c(A),B),coantidomain(C)),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2299]
% 280.83/280.83  multiplication(c(B),multiplication(multiplication(A,coantidomain(C)),
% 280.83/280.83                      codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2300]
% 280.83/280.83  multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2303]
% 280.83/280.83  multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.83  codomain(X0)) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2305]
% 280.83/280.83  multiplication(multiplication(multiplication(codomain(B),A),codomain(C)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2306]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(codomain(C),A),
% 280.83/280.83                                 codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2308]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(codomain(A),B),codomain(C)),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2310]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(codomain(B),C),
% 280.83/280.83                                     codomain(X0))),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2311]
% 280.83/280.83  multiplication(multiplication(multiplication(codomain(A),B),codomain(C)),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2316]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2317]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2318]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.83  codomain(X0)) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2319]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 280.83/280.83  codomain(X0)) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2320]
% 280.83/280.83  multiplication(codomain(B),multiplication(multiplication(coantidomain(C),A),
% 280.83/280.83                             codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2321]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(B),A),codomain(C)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2322]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(coantidomain(C),A),
% 280.83/280.83                                 codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2323]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 280.83/280.83      codomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2324]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2325]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(multiplication(coantidomain(B),C),
% 280.83/280.83                                 codomain(X0))),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2326]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(coantidomain(B),C),
% 280.83/280.83                                     codomain(X0))),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2327]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2328]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,c(C))),
% 280.83/280.83  codomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2329]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(B),A),codomain(C)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2330]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(c(B),C)),
% 280.83/280.83  codomain(X0)) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2331]
% 280.83/280.83  multiplication(c(B),multiplication(multiplication(coantidomain(C),A),
% 280.83/280.83                      codomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2333]
% 280.83/280.83  leq(coantidomain(A) addition multiplication(codomain(B),c(C)),one addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2336]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2338]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),c(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2352]
% 280.83/280.83  multiplication(multiplication(codomain(B),multiplication(A,codomain(C))),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2353]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(A,
% 280.83/280.83                                                            codomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2355]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),multiplication(B,codomain(C))),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2357]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(C,
% 280.83/280.83                                                                codomain(X0)))),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2358]
% 280.83/280.83  multiplication(multiplication(codomain(A),multiplication(B,codomain(C))),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2363]
% 280.83/280.83  multiplication(codomain(A),multiplication(multiplication(B,coantidomain(C)),
% 280.83/280.83                             coantidomain(X0))) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2364]
% 280.83/280.83  multiplication(codomain(A),multiplication(multiplication(B,codomain(C)),
% 280.83/280.83                             coantidomain(X0))) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2365]
% 280.83/280.83  multiplication(codomain(A),multiplication(multiplication(codomain(B),C),
% 280.83/280.83                             coantidomain(X0))) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2366]
% 280.83/280.83  multiplication(codomain(A),multiplication(multiplication(coantidomain(B),C),
% 280.83/280.83                             coantidomain(X0))) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2367]
% 280.83/280.83  multiplication(codomain(B),multiplication(codomain(C),multiplication(A,
% 280.83/280.83                                                        coantidomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2368]
% 280.83/280.83  multiplication(multiplication(codomain(B),multiplication(A,coantidomain(C))),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2369]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(A,
% 280.83/280.83                                                            coantidomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2370]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83      codomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2371]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2372]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(C,
% 280.83/280.83                                                            coantidomain(X0)))),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2373]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(C,
% 280.83/280.83                                                                coantidomain(X0)))),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2374]
% 280.83/280.83  multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2375]
% 280.83/280.83  multiplication(codomain(A),multiplication(multiplication(B,c(C)),coantidomain(X0))) addition B
% 280.83/280.83  -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2376]
% 280.83/280.83  multiplication(multiplication(codomain(B),multiplication(A,coantidomain(C))),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2377]
% 280.83/280.83  multiplication(codomain(A),multiplication(multiplication(c(B),C),coantidomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2378]
% 280.83/280.83  multiplication(c(B),multiplication(codomain(C),multiplication(A,coantidomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2380]
% 280.83/280.83  multiplication(codomain(A),multiplication(codomain(B),multiplication(
% 280.83/280.83                                                        coantidomain(C),X0))) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2381]
% 280.83/280.83  multiplication(multiplication(codomain(B),multiplication(codomain(C),A)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2382]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(
% 280.83/280.83                                                            codomain(X0),A))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2384]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),multiplication(codomain(B),C)),
% 280.83/280.83      coantidomain(X0)),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2386]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(
% 280.83/280.83                                                                codomain(C),X0))),X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2391]
% 280.83/280.83  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                            coantidomain(X0)))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2392]
% 280.83/280.83  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                            codomain(X0)))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2393]
% 280.83/280.83  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                            codomain(C),X0))) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2394]
% 280.83/280.83  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                            coantidomain(C),X0))) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2395]
% 280.83/280.83  multiplication(multiplication(codomain(B),multiplication(coantidomain(C),A)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2396]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(codomain(C),multiplication(
% 280.83/280.83                                                            coantidomain(X0),A))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2397]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.83      codomain(X0)),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2398]
% 280.83/280.83  leq(multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.83      coantidomain(X0)),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2399]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(codomain(B),multiplication(
% 280.83/280.83                                                            coantidomain(C),X0))),X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2400]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(codomain(B),multiplication(
% 280.83/280.83                                                                coantidomain(C),X0))),X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2401]
% 280.83/280.83  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                            c(X0)))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2402]
% 280.83/280.83  multiplication(multiplication(codomain(B),multiplication(coantidomain(C),A)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2403]
% 280.83/280.83  multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                            c(C),X0))) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2404]
% 280.83/280.83  multiplication(c(B),multiplication(codomain(C),multiplication(coantidomain(X0),A))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2405]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),codomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2406]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2407]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),coantidomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2408]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),coantidomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2409]
% 280.83/280.83  leq(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2410]
% 280.83/280.83  leq(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2411]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2412]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2413]
% 280.83/280.83  leq(backward_diamond(A,B) addition multiplication(forward_diamond(C,X0),
% 280.83/280.83                                     coantidomain(X1)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2414]
% 280.83/280.83  leq(forward_diamond(A,B) addition multiplication(forward_diamond(C,X0),
% 280.83/280.83                                    coantidomain(X1)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2415]
% 280.83/280.83  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               forward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2416]
% 280.83/280.83  one addition multiplication(forward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 280.83/280.83                                                   coantidomain(X1))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2417]
% 280.83/280.83  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               backward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2418]
% 280.83/280.83  one addition multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 280.83/280.83                                                    coantidomain(X1))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2419]
% 280.83/280.83  leq(backward_diamond(A,B) addition multiplication(backward_diamond(C,X0),
% 280.83/280.83                                     coantidomain(X1)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2420]
% 280.83/280.83  leq(forward_diamond(A,B) addition multiplication(backward_diamond(C,X0),
% 280.83/280.83                                    coantidomain(X1)),one) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2421]
% 280.83/280.83  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               forward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2422]
% 280.83/280.83  one addition multiplication(forward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 280.83/280.83                                                   coantidomain(X1))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2423]
% 280.83/280.83  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.83               backward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2424]
% 280.83/280.83  one addition multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 280.83/280.83                                                    coantidomain(X1))) -> one
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2425]
% 280.83/280.83  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2426]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(A,codomain(C)),
% 280.83/280.83                                 coantidomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2427]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.83      codomain(X0)),A) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2428]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.83      coantidomain(X0)),A) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2429]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(multiplication(B,codomain(C)),
% 280.83/280.83                                 coantidomain(X0))),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2430]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(B,codomain(C)),
% 280.83/280.83                                     coantidomain(X0))),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2431]
% 280.83/280.83  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.83  coantidomain(A addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2432]
% 280.83/280.83  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2433]
% 280.83/280.83  multiplication(multiplication(multiplication(A,c(B)),codomain(C)),coantidomain(X0)) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2434]
% 280.83/280.83  multiplication(multiplication(multiplication(c(A),B),codomain(C)),coantidomain(X0)) addition B
% 280.83/280.83  -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2435]
% 280.83/280.83  multiplication(c(B),multiplication(multiplication(A,codomain(C)),coantidomain(X0))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2436]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2437]
% 280.83/280.83  multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 280.83/280.83  coantidomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2438]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 280.83/280.83  coantidomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2439]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(A,coantidomain(C)),
% 280.83/280.83                                 coantidomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2440]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.83      codomain(X0)),A) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2441]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.83      coantidomain(X0)),A) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2442]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(multiplication(B,coantidomain(C)),
% 280.83/280.83                                 coantidomain(X0))),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2443]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(B,coantidomain(C)),
% 280.83/280.83                                     coantidomain(X0))),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2444]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.83  coantidomain(A addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2445]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2446]
% 280.83/280.83  multiplication(multiplication(multiplication(A,c(B)),coantidomain(C)),
% 280.83/280.83  coantidomain(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2447]
% 280.83/280.83  multiplication(multiplication(multiplication(c(A),B),coantidomain(C)),
% 280.83/280.83  coantidomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2448]
% 280.83/280.83  multiplication(c(B),multiplication(multiplication(A,coantidomain(C)),
% 280.83/280.83                      coantidomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2449]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83  coantidomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2450]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 280.83/280.83  coantidomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2451]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 280.83/280.83  coantidomain(X0)) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2452]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.83  coantidomain(X0)) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2453]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(coantidomain(C),A),
% 280.83/280.83                                 coantidomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2454]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 280.83/280.83      codomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2455]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2456]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(multiplication(coantidomain(B),C),
% 280.83/280.83                                 coantidomain(X0))),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2457]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(coantidomain(B),C),
% 280.83/280.83                                     coantidomain(X0))),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2458]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2459]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,c(C))),
% 280.83/280.83  coantidomain(X0)) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2460]
% 280.83/280.83  multiplication(multiplication(multiplication(coantidomain(B),A),coantidomain(C)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2461]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(c(B),C)),
% 280.83/280.83  coantidomain(X0)) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2462]
% 280.83/280.83  multiplication(c(B),multiplication(multiplication(coantidomain(C),A),
% 280.83/280.83                      coantidomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2463]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(multiplication(codomain(C),A),
% 280.83/280.83                                 coantidomain(X0))) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2464]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 280.83/280.83      codomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2465]
% 280.83/280.83  leq(multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2466]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(multiplication(codomain(B),C),
% 280.83/280.83                                 coantidomain(X0))),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2467]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(multiplication(codomain(B),C),
% 280.83/280.83                                     coantidomain(X0))),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2468]
% 280.83/280.83  multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2469]
% 280.83/280.83  multiplication(multiplication(codomain(A),multiplication(B,c(C))),coantidomain(X0)) addition B
% 280.83/280.83  -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2470]
% 280.83/280.83  multiplication(multiplication(multiplication(codomain(B),A),coantidomain(C)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2471]
% 280.83/280.83  multiplication(multiplication(codomain(A),multiplication(c(B),C)),coantidomain(X0)) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2472]
% 280.83/280.83  multiplication(c(B),multiplication(multiplication(codomain(C),A),coantidomain(X0))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2473]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2474]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2475]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),c(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2476]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),c(C))),
% 280.83/280.83  one addition X0) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2477]
% 280.83/280.83  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),forward_diamond(X0,X1)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2478]
% 280.83/280.83  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),forward_diamond(X0,X1)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2479]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83               forward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2480]
% 280.83/280.83  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                   forward_diamond(X0,X1))) ->
% 280.83/280.83  one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2481]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.83               backward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2482]
% 280.83/280.83  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                    forward_diamond(X0,X1))) ->
% 280.83/280.83  one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2483]
% 280.83/280.83  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),backward_diamond(X0,X1)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2484]
% 280.83/280.83  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),backward_diamond(X0,X1)),one)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2485]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83               forward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2486]
% 280.83/280.83  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                   backward_diamond(X0,X1))) ->
% 280.83/280.83  one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2487]
% 280.83/280.83  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.83               backward_diamond(X0,X1)) -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2488]
% 280.83/280.83  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.83                                                    backward_diamond(X0,X1)))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2489]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(coantidomain(C),multiplication(A,
% 280.83/280.83                                                                coantidomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2490]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83      codomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2491]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2492]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                                coantidomain(X0)))),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2493]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                                    coantidomain(X0)))),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2494]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2495]
% 280.83/280.83  multiplication(multiplication(coantidomain(B),multiplication(A,coantidomain(C))),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2496]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(multiplication(B,c(C)),
% 280.83/280.83                                 coantidomain(X0))) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2497]
% 280.83/280.83  multiplication(c(B),multiplication(coantidomain(C),multiplication(A,coantidomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2498]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(multiplication(c(B),C),
% 280.83/280.83                                 coantidomain(X0))) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2499]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(coantidomain(C),multiplication(A,
% 280.83/280.83                                                                codomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2500]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 280.83/280.83      codomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2501]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 280.83/280.83      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2502]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                                codomain(X0)))),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2503]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                                    codomain(X0)))),C)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2504]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 280.83/280.83  coantidomain(B addition X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2505]
% 280.83/280.83  multiplication(multiplication(coantidomain(B),multiplication(A,codomain(C))),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2506]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(multiplication(B,c(C)),
% 280.83/280.83                                 codomain(X0))) addition B -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2507]
% 280.83/280.83  multiplication(c(B),multiplication(coantidomain(C),multiplication(A,codomain(X0)))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2508]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(multiplication(c(B),C),
% 280.83/280.83                                 codomain(X0))) addition C -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2509]
% 280.83/280.83  multiplication(coantidomain(B),multiplication(coantidomain(C),multiplication(
% 280.83/280.83                                                                codomain(X0),A))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2510]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 280.83/280.83      codomain(X0)),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2511]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 280.83/280.83      coantidomain(X0)),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2512]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                                codomain(C),X0))),X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2513]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                                    codomain(C),X0))),X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2514]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(codomain(B),multiplication(C,
% 280.83/280.83                                                            c(X0)))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2515]
% 280.83/280.83  multiplication(multiplication(coantidomain(B),multiplication(codomain(C),A)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2516]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(codomain(B),multiplication(
% 280.83/280.83                                                            c(C),X0))) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2517]
% 280.83/280.83  multiplication(c(B),multiplication(coantidomain(C),multiplication(codomain(X0),A))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2518]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                                coantidomain(C),X0))) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2519]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.83      codomain(X0)),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2520]
% 280.83/280.83  leq(multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.83      coantidomain(X0)),C) -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2521]
% 280.83/280.83  leq(multiplication(codomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                                coantidomain(C),X0))),X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2522]
% 280.83/280.83  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                                    coantidomain(C),X0))),X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2523]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(C,
% 280.83/280.83                                                                c(X0)))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2524]
% 280.83/280.83  multiplication(multiplication(coantidomain(B),multiplication(coantidomain(C),A)),
% 280.83/280.83  c(X0)) addition A -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2525]
% 280.83/280.83  multiplication(coantidomain(A),multiplication(coantidomain(B),multiplication(
% 280.83/280.83                                                                c(C),X0))) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2526]
% 280.83/280.83  multiplication(c(B),multiplication(coantidomain(C),multiplication(coantidomain(X0),A))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2527]
% 280.83/280.83  backward_diamond(multiplication(multiplication(A,multiplication(coantidomain(
% 280.83/280.83                                                                  backward_diamond(A,B)),C)),X0),B)
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2528]
% 280.83/280.83  backward_diamond(multiplication(multiplication(multiplication(A,coantidomain(
% 280.83/280.83                                                                  backward_diamond(A,B))),C),X0),B)
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2530]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 280.83/280.83                                                   codomain(X0))) addition A ->
% 280.83/280.83  A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2532]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 280.83/280.83                                                   codomain(X0))) addition B ->
% 280.83/280.83  B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2533]
% 280.83/280.83  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 280.83/280.83                                               codomain(X0))) addition A -> A
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2534]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 280.83/280.83                                                   codomain(X0))) addition A ->
% 280.83/280.83  A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2535]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 280.83/280.83                                                   codomain(X0))) addition B ->
% 280.83/280.83  B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2536]
% 280.83/280.83  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 280.83/280.83                                               codomain(X0))) addition B -> B
% 280.83/280.83  collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2538]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.83  multiplication(codomain(B),X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2540]
% 280.83/280.83  multiplication(multiplication(codomain(A),codomain(B)),multiplication(C,
% 280.83/280.83                                                         coantidomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2542]
% 280.83/280.83  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 280.83/280.83                                                         coantidomain(C),X0)) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2543]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(C,
% 280.83/280.83                                                             coantidomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2544]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(C,
% 280.83/280.83                                                             codomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2545]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 280.83/280.83                                                             codomain(C),X0)) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2546]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 280.83/280.83                                                             coantidomain(C),X0)) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2547]
% 280.83/280.83  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(C,
% 280.83/280.83                                                             coantidomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2548]
% 280.83/280.83  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(C,
% 280.83/280.83                                                             codomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2549]
% 280.83/280.83  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 280.83/280.83                                                             codomain(C),X0)) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2550]
% 280.83/280.83  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 280.83/280.83                                                             coantidomain(C),X0)) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2552]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 280.83/280.83                                                   multiplication(codomain(B),X0)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2553]
% 280.83/280.83  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 280.83/280.83                                               coantidomain(X0))) addition A ->
% 280.83/280.83  A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2554]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 280.83/280.83                                                   coantidomain(X0))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2555]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 280.83/280.83                                                   coantidomain(X0))) addition B
% 280.83/280.83  -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2556]
% 280.83/280.83  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 280.83/280.83                                               coantidomain(X0))) addition B ->
% 280.83/280.83  B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2557]
% 280.83/280.83  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 280.83/280.83                                               coantidomain(X0))) addition A ->
% 280.83/280.83  A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2558]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 280.83/280.83                                                   coantidomain(X0))) addition A
% 280.83/280.83  -> A collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2559]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 280.83/280.83                                                   coantidomain(X0))) addition B
% 280.83/280.83  -> B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2560]
% 280.83/280.83  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 280.83/280.83                                               coantidomain(X0))) addition B ->
% 280.83/280.83  B collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2561]
% 280.83/280.83  leq(multiplication(multiplication(A,coantidomain(B)),C),multiplication(A,C) addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2562]
% 280.83/280.83  multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.83  multiplication(codomain(B),X0)) -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2563]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(C,
% 280.83/280.83                                                                 coantidomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2564]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(C,
% 280.83/280.83                                                                 codomain(X0))) addition C
% 280.83/280.83  -> C collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2565]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 280.83/280.83                                                                 codomain(C),X0)) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2566]
% 280.83/280.83  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 280.83/280.83                                                                 coantidomain(C),X0)) addition X0
% 280.83/280.83  -> X0 collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2567]
% 280.83/280.83  leq(multiplication(A,multiplication(coantidomain(B),C)),multiplication(A,C) addition X0)
% 280.83/280.83  -> true collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2568]
% 280.83/280.83  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 280.83/280.83                                                   multiplication(codomain(B),X0)))
% 280.83/280.83  -> zero collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2569]
% 280.83/280.83  coantidomain(backward_diamond(multiplication(codomain(A),B),multiplication(C,
% 280.83/280.83                                                              multiplication(X0,
% 280.83/280.83                                                              coantidomain(A)))))
% 280.83/280.83  -> one collapsed.
% 280.83/280.83  Rule
% 280.83/280.83  [2570]
% 280.83/280.83  coantidomain(backward_diamond(multiplication(multiplication(codomain(A),B),C),
% 280.83/280.84               multiplication(X0,coantidomain(A)))) -> one collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2573]
% 280.83/280.84  forward_diamond(multiplication(multiplication(C,c(B)),coantidomain(X0)) addition A,B)
% 280.83/280.84  -> forward_diamond(A,B) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2576]
% 280.83/280.84  forward_diamond(multiplication(multiplication(multiplication(A,c(B)),
% 280.83/280.84                                 coantidomain(C)),codomain(X0)),B) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2578]
% 280.83/280.84  forward_diamond(multiplication(multiplication(coantidomain(A),multiplication(B,
% 280.83/280.84                                                                c(C))),
% 280.83/280.84                  codomain(X0)),C) -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2580]
% 280.83/280.84  forward_diamond(multiplication(codomain(A),multiplication(multiplication(B,
% 280.83/280.84                                                            c(C)),coantidomain(X0))),C)
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2581]
% 280.83/280.84  forward_diamond(multiplication(multiplication(multiplication(A,c(B)),
% 280.83/280.84                                 codomain(C)),coantidomain(X0)),B) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2582]
% 280.83/280.84  forward_diamond(multiplication(multiplication(multiplication(A,c(B)),
% 280.83/280.84                                 coantidomain(C)),coantidomain(X0)),B) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2583]
% 280.83/280.84  forward_diamond(multiplication(multiplication(coantidomain(A),multiplication(B,
% 280.83/280.84                                                                c(C))),
% 280.83/280.84                  coantidomain(X0)),C) -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2584]
% 280.83/280.84  forward_diamond(multiplication(multiplication(codomain(A),multiplication(B,
% 280.83/280.84                                                            c(C))),coantidomain(X0)),C)
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2585]
% 280.83/280.84  forward_diamond(multiplication(coantidomain(A),multiplication(multiplication(B,
% 280.83/280.84                                                                c(C)),coantidomain(X0))),C)
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2586]
% 280.83/280.84  forward_diamond(multiplication(coantidomain(A),multiplication(multiplication(B,
% 280.83/280.84                                                                c(C)),codomain(X0))),C)
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2588]
% 280.83/280.84  forward_diamond(multiplication(C,multiplication(c(B),coantidomain(X0))) addition A,B)
% 280.83/280.84  -> forward_diamond(A,B) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2590]
% 280.83/280.84  leq(coantidomain(c(A)),coantidomain(backward_diamond(c(A),c(A))) addition B)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2593]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),codomain(B)),c(C)),
% 280.83/280.84  one addition X0) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2596]
% 280.83/280.84  leq(multiplication(multiplication(codomain(A),coantidomain(B)),c(C)),
% 280.83/280.84  one addition X0) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2598]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),codomain(C)),
% 280.83/280.84      c(X0)),A) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2600]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(coantidomain(A),B),codomain(C)),
% 280.83/280.84      c(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2603]
% 280.83/280.84  leq(multiplication(multiplication(codomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.84      c(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2605]
% 280.83/280.84  leq(multiplication(multiplication(codomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.84      c(X0)),C) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2606]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),c(C)),
% 280.83/280.84  one addition X0) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2607]
% 280.83/280.84  leq(multiplication(multiplication(c(A),coantidomain(B)),c(C)),one addition X0)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2608]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.84      c(X0)),A) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2609]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 280.83/280.84      c(X0)),A) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2610]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 280.83/280.84      c(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2611]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(codomain(A),B),coantidomain(C)),
% 280.83/280.84      c(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2612]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),c(B)),c(C)),one addition X0)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2613]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 280.83/280.84      c(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2614]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),multiplication(B,codomain(C))),
% 280.83/280.84      c(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2615]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),multiplication(codomain(B),C)),
% 280.83/280.84      c(X0)),C) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2616]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 280.83/280.84      c(X0)),C) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2619]
% 280.83/280.84  coantidomain(backward_diamond(c(A),c(A))) addition coantidomain(c(A)) ->
% 280.83/280.84  coantidomain(backward_diamond(c(A),c(A))) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2621]
% 280.83/280.84  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(X0),
% 280.83/280.84                                                       coantidomain(multiplication(B,C))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2622]
% 280.83/280.84  leq(multiplication(multiplication(A,multiplication(coantidomain(B),C)),
% 280.83/280.84      codomain(X0)),multiplication(A,C)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2623]
% 280.83/280.84  leq(multiplication(multiplication(A,multiplication(coantidomain(B),C)),
% 280.83/280.84      coantidomain(X0)),multiplication(A,C)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2624]
% 280.83/280.84  leq(multiplication(codomain(A),multiplication(B,multiplication(coantidomain(C),X0))),
% 280.83/280.84  multiplication(B,X0)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2625]
% 280.83/280.84  leq(multiplication(coantidomain(A),multiplication(B,multiplication(coantidomain(C),X0))),
% 280.83/280.84  multiplication(B,X0)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2626]
% 280.83/280.84  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(X0,
% 280.83/280.84                                                                    coantidomain(
% 280.83/280.84                                                                    multiplication(B,X0)))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2627]
% 280.83/280.84  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(X0),
% 280.83/280.84                                                       multiplication(coantidomain(C),X1)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2628]
% 280.83/280.84  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(
% 280.83/280.84                                                                    multiplication(
% 280.83/280.84                                                                    coantidomain(B),X0),X1)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2629]
% 280.83/280.84  multiplication(multiplication(A,multiplication(coantidomain(B),C)),coantidomain(
% 280.83/280.84                                                                     multiplication(A,C) addition X0))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2630]
% 280.83/280.84  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 280.83/280.84  multiplication(coantidomain(X0),backward_diamond(B,C))) -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2631]
% 280.83/280.84  multiplication(multiplication(A,multiplication(B,multiplication(C,coantidomain(X0)))),
% 280.83/280.84  multiplication(codomain(X0),X1)) -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2632]
% 280.83/280.84  multiplication(multiplication(A,multiplication(B,coantidomain(C))),multiplication(
% 280.83/280.84                                                                     multiplication(
% 280.83/280.84                                                                     codomain(C),X0),X1))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2633]
% 280.83/280.84  multiplication(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 280.83/280.84                                                                  multiplication(
% 280.83/280.84                                                                  codomain(B),C),X0),X1))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2642]
% 280.83/280.84  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.84      c(X0)),one addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2643]
% 280.83/280.84  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.84      c(X0)),one addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2644]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.84      c(X0)),one addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2645]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.84      c(X0)),one addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2650]
% 280.83/280.84  leq(multiplication(multiplication(A,multiplication(B,coantidomain(C))),c(X0)),
% 280.83/280.84  multiplication(A,B)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2651]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(A,coantidomain(B)),C),c(X0)),
% 280.83/280.84  multiplication(A,C)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2652]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(coantidomain(A),B),C),c(X0)),
% 280.83/280.84  multiplication(B,C)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2653]
% 280.83/280.84  leq(multiplication(multiplication(A,multiplication(coantidomain(B),C)),c(X0)),
% 280.83/280.84  multiplication(A,C)) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2654]
% 280.83/280.84  leq(coantidomain(backward_diamond(A,B)) addition multiplication(backward_diamond(A,B),
% 280.83/280.84                                                   c(C)),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule [2660] leq(coantidomain(A),c(c(coantidomain(A)))) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2662]
% 280.83/280.84  c(c(coantidomain(A))) addition coantidomain(A) -> c(c(coantidomain(A)))
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule [2664] leq(coantidomain(A),c(c(coantidomain(A))) addition B) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2665] codomain(A) addition coantidomain(backward_diamond(A,c(c(A)))) -> one
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2666] leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A))))) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2668] multiplication(multiplication(c(A),coantidomain(B)),c(c(A))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule [2675] multiplication(codomain(A),c(c(coantidomain(A)))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2677]
% 280.83/280.84  multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2678]
% 280.83/280.84  multiplication(coantidomain(A),multiplication(c(c(codomain(A))),B)) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2679]
% 280.83/280.84  coantidomain(backward_diamond(c(c(codomain(A))),coantidomain(A))) -> one
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2680]
% 280.83/280.84  multiplication(coantidomain(backward_diamond(A,B)),c(c(backward_diamond(A,B))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2681]
% 280.83/280.84  multiplication(coantidomain(A),multiplication(codomain(B),c(c(codomain(A)))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2682]
% 280.83/280.84  multiplication(coantidomain(A),multiplication(coantidomain(B),c(c(codomain(A)))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2683] coantidomain(backward_diamond(c(c(A)),multiplication(B,c(A)))) -> one
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2685] coantidomain(backward_diamond(multiplication(c(c(A)),B),c(A))) -> one
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2688]
% 280.83/280.84  leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A)))) addition B) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2691]
% 280.83/280.84  leq(coantidomain(A) addition B,c(c(coantidomain(A))) addition B) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2693]
% 280.83/280.84  multiplication(multiplication(A,coantidomain(B)),multiplication(c(c(codomain(B))),C))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2695]
% 280.83/280.84  multiplication(multiplication(A,c(B)),multiplication(coantidomain(C),c(c(B))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2697]
% 280.83/280.84  multiplication(multiplication(c(A),coantidomain(B)),multiplication(c(c(A)),C))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2699]
% 280.83/280.84  c(c(codomain(A))) addition multiplication(coantidomain(B),codomain(A)) ->
% 280.83/280.84  c(c(codomain(A))) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2700]
% 280.83/280.84  c(c(coantidomain(A))) addition multiplication(codomain(B),coantidomain(A)) ->
% 280.83/280.84  c(c(coantidomain(A))) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2701]
% 280.83/280.84  coantidomain(backward_diamond(A,c(c(A)))) addition coantidomain(A) ->
% 280.83/280.84  coantidomain(backward_diamond(A,c(c(A)))) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2703]
% 280.83/280.84  c(c(coantidomain(A))) addition multiplication(coantidomain(A),codomain(B)) ->
% 280.83/280.84  c(c(coantidomain(A))) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2705]
% 280.83/280.84  c(c(codomain(A))) addition multiplication(codomain(A),coantidomain(B)) ->
% 280.83/280.84  c(c(codomain(A))) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2706]
% 280.83/280.84  c(c(coantidomain(A))) addition multiplication(coantidomain(A),coantidomain(B))
% 280.83/280.84  -> c(c(coantidomain(A))) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2707]
% 280.83/280.84  c(c(coantidomain(A))) addition multiplication(coantidomain(B),coantidomain(A))
% 280.83/280.84  -> c(c(coantidomain(A))) collapsed.
% 280.83/280.84  Rule [2709] multiplication(coantidomain(A),c(codomain(A))) -> coantidomain(A)
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2710]
% 280.83/280.84  multiplication(c(c(A)),coantidomain(c(A) addition B)) ->
% 280.83/280.84  coantidomain(c(A) addition B) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2711]
% 280.83/280.84  multiplication(c(A),coantidomain(c(c(A)) addition B)) ->
% 280.83/280.84  coantidomain(c(c(A)) addition B) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2712]
% 280.83/280.84  coantidomain(backward_diamond(multiplication(c(c(A)),B),multiplication(C,
% 280.83/280.84                                                          c(A)))) -> one
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2713]
% 280.83/280.84  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 280.83/280.84                                                                  codomain(A))))
% 280.83/280.84  -> one collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2714]
% 280.83/280.84  multiplication(multiplication(multiplication(A,codomain(B)),codomain(C)),
% 280.83/280.84  multiplication(coantidomain(B),X0)) -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2715]
% 280.83/280.84  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 280.83/280.84                                               multiplication(coantidomain(B),X0)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2716]
% 280.83/280.84  multiplication(multiplication(multiplication(A,codomain(B)),coantidomain(C)),
% 280.83/280.84  multiplication(coantidomain(B),X0)) -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2717]
% 280.83/280.84  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 280.83/280.84                                               multiplication(coantidomain(B),X0)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2718]
% 280.83/280.84  leq(codomain(A) addition codomain(B) addition coantidomain(C),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2723]
% 280.83/280.84  leq(codomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2724]
% 280.83/280.84  leq(forward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2725] leq(c(A) addition codomain(B) addition coantidomain(C),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2726]
% 280.83/280.84  leq(backward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2730]
% 280.83/280.84  leq(coantidomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2731]
% 280.83/280.84  leq(forward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2732]
% 280.83/280.84  leq(c(A) addition coantidomain(B) addition coantidomain(C),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2733]
% 280.83/280.84  leq(backward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2734]
% 280.83/280.84  leq(forward_diamond(A,B) addition c(C) addition coantidomain(X0),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule [2735] leq(c(A) addition c(B) addition coantidomain(C),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2736]
% 280.83/280.84  leq(backward_diamond(A,B) addition c(C) addition coantidomain(X0),one) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2741]
% 280.83/280.84  multiplication(multiplication(c(A),coantidomain(B)),multiplication(A,C)) ->
% 280.83/280.84  zero collapsed.
% 280.83/280.84  Rule [2742] multiplication(A,coantidomain(codomain(A) addition B)) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2744] backward_diamond(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2745]
% 280.83/280.84  backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2746]
% 280.83/280.84  backward_diamond(multiplication(coantidomain(A),B),coantidomain(A)) ->
% 280.83/280.84  backward_diamond(B,coantidomain(A)) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2748]
% 280.83/280.84  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(B,A)))
% 280.83/280.84  -> one collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2749] multiplication(c(A),coantidomain(backward_diamond(c(A),c(A)))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2750] multiplication(A,coantidomain(backward_diamond(A,c(c(A))))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2752]
% 280.83/280.84  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(B),
% 280.83/280.84                                                  multiplication(A,B)))) ->
% 280.83/280.84  zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2753]
% 280.83/280.84  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(
% 280.83/280.84                                                                backward_diamond(B,A))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2754]
% 280.83/280.84  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(
% 280.83/280.84                                                                    backward_diamond(B,A))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2756]
% 280.83/280.84  multiplication(multiplication(codomain(A),B),coantidomain(multiplication(B,
% 280.83/280.84                                                            backward_diamond(B,A))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2762]
% 280.83/280.84  leq(multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)),A)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2764]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)),B)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2773]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2776]
% 280.83/280.84  leq(multiplication(multiplication(codomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2778]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2779]
% 280.83/280.84  leq(multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2780]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0)),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2784]
% 280.83/280.84  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2785]
% 280.83/280.84  leq(multiplication(coantidomain(A),codomain(B)),c(c(coantidomain(A)))) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2786]
% 280.83/280.84  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2787]
% 280.83/280.84  leq(multiplication(codomain(A),coantidomain(B)),c(c(codomain(A)))) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2788]
% 280.83/280.84  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),A) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2789]
% 280.83/280.84  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(A)))) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2791]
% 280.83/280.84  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(
% 280.83/280.84                                                                   multiplication(A,B)),B)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2792]
% 280.83/280.84  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 280.83/280.84                                                                    multiplication(C,B),A)))
% 280.83/280.84  -> one collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2793]
% 280.83/280.84  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(
% 280.83/280.84                                                            backward_diamond(B,A),B)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2795]
% 280.83/280.84  leq(multiplication(A,coantidomain(B)),multiplication(A,c(c(coantidomain(B)))))
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2796]
% 280.83/280.84  multiplication(c(codomain(A)),coantidomain(backward_diamond(coantidomain(A),
% 280.83/280.84                                             c(codomain(A))))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2797]
% 280.83/280.84  multiplication(c(coantidomain(A)),coantidomain(backward_diamond(codomain(A),
% 280.83/280.84                                                 c(coantidomain(A))))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2799]
% 280.83/280.84  backward_diamond(coantidomain(A) addition B,coantidomain(A)) ->
% 280.83/280.84  backward_diamond(one addition B,coantidomain(A)) collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2805]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))),C)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2807]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)),X0)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2813]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.84                                           codomain(X0))),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2816]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),coantidomain(X0))),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2818]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.84                                           coantidomain(X0))),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2819]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(c(C),coantidomain(X0))),one)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2820]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.84                                           c(X0))),one) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2821]
% 280.83/280.84  leq(multiplication(codomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2824]
% 280.83/280.84  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2825]
% 280.83/280.84  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2826]
% 280.83/280.84  leq(multiplication(coantidomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2827]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2828]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),C) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2830]
% 280.83/280.84  coantidomain(backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),
% 280.83/280.84               multiplication(C,B))) -> one collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2833]
% 280.83/280.84  multiplication(multiplication(multiplication(A,B),C),coantidomain(backward_diamond(
% 280.83/280.84                                                                    multiplication(B,C),A)))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2834]
% 280.83/280.84  multiplication(multiplication(A,multiplication(B,C)),coantidomain(backward_diamond(C,
% 280.83/280.84                                                                    multiplication(A,B))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2835]
% 280.83/280.84  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(
% 280.83/280.84                                                                      backward_diamond(C,B)),X0))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2836]
% 280.83/280.84  multiplication(multiplication(A,B),coantidomain(backward_diamond(multiplication(A,B),
% 280.83/280.84                                                  c(c(A))))) -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2841]
% 280.83/280.84  leq(multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)),
% 280.83/280.84  A addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2843]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)),
% 280.83/280.84  B addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2848]
% 280.83/280.84  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 280.83/280.84      backward_diamond(X0,X1)),one) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2849]
% 280.83/280.84  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 280.83/280.84      backward_diamond(X0,X1)),one) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2850]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 280.83/280.84      backward_diamond(X0,X1)),one) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2851]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 280.83/280.84      backward_diamond(X0,X1)),one) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2852]
% 280.83/280.84  multiplication(multiplication(A,B),multiplication(multiplication(C,coantidomain(
% 280.83/280.84                                                                     backward_diamond(C,B))),X0))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2853]
% 280.83/280.84  multiplication(backward_diamond(A,B),coantidomain(backward_diamond(backward_diamond(A,B),
% 280.83/280.84                                                    backward_diamond(A,B)))) ->
% 280.83/280.84  zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2854]
% 280.83/280.84  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 280.83/280.84                                               coantidomain(backward_diamond(B,A))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2855]
% 280.83/280.84  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 280.83/280.84                                               coantidomain(backward_diamond(B,A))))
% 280.83/280.84  -> zero collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2859]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))),
% 280.83/280.84  C addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2861]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)),
% 280.83/280.84  X0 addition X1) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2866]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),
% 280.83/280.84                                           coantidomain(X1))),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2867]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),
% 280.83/280.84                                           coantidomain(X1))),one) -> true
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2868]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.84                                           forward_diamond(X0,X1))),one) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2869]
% 280.83/280.84  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 280.83/280.84                                           backward_diamond(X0,X1))),one) ->
% 280.83/280.84  true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2871]
% 280.83/280.84  coantidomain(backward_diamond(coantidomain(multiplication(A,codomain(
% 280.83/280.84                                                              multiplication(B,A)))),
% 280.83/280.84               multiplication(B,A))) -> one collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2873]
% 280.83/280.84  multiplication(c(codomain(A)),coantidomain(backward_diamond(codomain(
% 280.83/280.84                                                              c(codomain(A))),
% 280.83/280.84                                             coantidomain(A)))) -> zero
% 280.83/280.84  collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2876]
% 280.83/280.84  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A addition X0)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2878]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(c(A),B),coantidomain(C)),
% 280.83/280.84      codomain(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2879]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(A,c(B)),coantidomain(C)),
% 280.83/280.84      codomain(X0)),A) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2880]
% 280.83/280.84  leq(multiplication(coantidomain(A),codomain(B)),c(c(coantidomain(A))) addition C)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2883]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),multiplication(c(B),C)),
% 280.83/280.84      codomain(X0)),C) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2884]
% 280.83/280.84  leq(multiplication(multiplication(coantidomain(A),multiplication(B,c(C))),
% 280.83/280.84      codomain(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2885]
% 280.83/280.84  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A addition X0)
% 280.83/280.84  -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2886]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(c(A),B),codomain(C)),
% 280.83/280.84      coantidomain(X0)),B) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2887]
% 280.83/280.84  leq(multiplication(multiplication(multiplication(A,c(B)),codomain(C)),
% 280.83/280.84      coantidomain(X0)),A) -> true collapsed.
% 280.83/280.84  Rule
% 280.83/280.84  [2888]
% 280.83/280.84  leq(multiplication(A,muCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------