TSTP Solution File: KLE104-10 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : KLE104-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n192.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 13:06:56 EST 2019

% Result   : Timeout 293.93s
% 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  : KLE104-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05  % Command  : tptp2X_and_run_cime %s
% 0.03/0.24  % Computer : n192.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
% 0.03/0.25  % CPULimit : 300
% 0.03/0.25  % DateTime : Thu Feb 21 04:29:13 CST 2019
% 0.03/0.25  % CPUTime  : 
% 1.17/1.42  Processing problem /tmp/CiME_4512_n192.star.cs.uiowa.edu
% 1.17/1.42  #verbose 1;
% 1.17/1.42                let F = signature "  addition : AC; sK1_goals_X2,sK3_goals_X0,sK2_goals_X1,true,one,zero : constant;  backward_box : 2;  forward_box : 2;  backward_diamond : 2;  forward_diamond : 2;  domain_difference : 2;  c : 1;  codomain : 1;  coantidomain : 1;  domain : 1;  antidomain : 1;  leq : 2;  multiplication : 2;  ifeq : 4;  ifeq2 : 4;";
% 1.17/1.42  let X = vars "A B C X0 X1";
% 1.17/1.42  let Axioms = equations F X "
% 1.17/1.42   multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C));
% 1.17/1.42   ifeq2(A,A,B,C) = B;
% 1.17/1.42   ifeq(A,A,B,C) = B;
% 1.17/1.42   A addition zero = A;
% 1.17/1.42   A addition A = A;
% 1.17/1.42   multiplication(A,one) = A;
% 1.17/1.42   multiplication(one,A) = A;
% 1.17/1.42   multiplication(A,B addition C) = multiplication(A,B) addition multiplication(A,C);
% 1.17/1.42   multiplication(A addition B,C) = multiplication(A,C) addition multiplication(B,C);
% 1.17/1.42   multiplication(A,zero) = zero;
% 1.17/1.42   multiplication(zero,A) = zero;
% 1.17/1.42   ifeq(leq(A,B),true,A addition B,B) = B;
% 1.17/1.42   ifeq2(A addition B,B,leq(A,B),true) = true;
% 1.17/1.42   multiplication(antidomain(X0),X0) = zero;
% 1.17/1.42   antidomain(multiplication(X0,X1)) addition antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1))));
% 1.17/1.42   antidomain(antidomain(X0)) addition antidomain(X0) = one;
% 1.17/1.42   domain(X0) = antidomain(antidomain(X0));
% 1.17/1.42   multiplication(X0,coantidomain(X0)) = zero;
% 1.17/1.42   coantidomain(multiplication(X0,X1)) addition coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1));
% 1.17/1.42   coantidomain(coantidomain(X0)) addition coantidomain(X0) = one;
% 1.17/1.42   codomain(X0) = coantidomain(coantidomain(X0));
% 1.17/1.42   c(X0) = antidomain(domain(X0));
% 1.17/1.42   domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1));
% 1.17/1.42   forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1)));
% 1.17/1.42   backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0));
% 1.17/1.42   forward_box(X0,X1) = c(forward_diamond(X0,c(X1)));
% 1.17/1.42   backward_box(X0,X1) = c(backward_diamond(X0,c(X1)));
% 1.17/1.42   domain(sK2_goals_X1) addition backward_box(sK3_goals_X0,domain(sK1_goals_X2)) = one;
% 1.17/1.42  ";
% 1.17/1.42  
% 1.17/1.42  let s1 = status F "
% 1.17/1.42   sK1_goals_X2 lr_lex;
% 1.17/1.42   sK3_goals_X0 lr_lex;
% 1.17/1.42   sK2_goals_X1 lr_lex;
% 1.17/1.42   backward_box lr_lex;
% 1.17/1.42   forward_box lr_lex;
% 1.17/1.42   backward_diamond lr_lex;
% 1.17/1.42   forward_diamond lr_lex;
% 1.17/1.42   domain_difference lr_lex;
% 1.17/1.42   c lr_lex;
% 1.17/1.42   codomain lr_lex;
% 1.17/1.42   coantidomain lr_lex;
% 1.17/1.42   domain lr_lex;
% 1.17/1.42   antidomain lr_lex;
% 1.17/1.42   true lr_lex;
% 1.17/1.42   leq lr_lex;
% 1.17/1.42   one lr_lex;
% 1.17/1.42   zero lr_lex;
% 1.17/1.42   ifeq lr_lex;
% 1.17/1.42   ifeq2 lr_lex;
% 1.17/1.42   multiplication mul;
% 1.17/1.42   addition mul;
% 1.17/1.42  ";
% 1.17/1.42  
% 1.17/1.42  let p1 = precedence F "
% 1.17/1.42  domain_difference > forward_box > ifeq2 > ifeq > multiplication > leq > forward_diamond > backward_diamond > backward_box > antidomain > domain > coantidomain > codomain > c > addition > zero > one > true > sK2_goals_X1 > sK3_goals_X0 > sK1_goals_X2";
% 1.17/1.42  
% 1.17/1.42  let s2 = status F "
% 1.17/1.42  sK1_goals_X2 mul;
% 1.17/1.42  sK3_goals_X0 mul;
% 1.17/1.42  sK2_goals_X1 mul;
% 1.17/1.42  backward_box mul;
% 1.17/1.42  forward_box mul;
% 1.17/1.42  backward_diamond mul;
% 1.17/1.42  forward_diamond mul;
% 1.17/1.42  domain_difference mul;
% 1.17/1.42  c mul;
% 1.17/1.42  codomain mul;
% 1.17/1.42  coantidomain mul;
% 1.17/1.42  domain mul;
% 1.17/1.42  antidomain mul;
% 1.17/1.42  true mul;
% 1.17/1.42  leq mul;
% 1.17/1.42  one mul;
% 1.17/1.42  multiplication mul;
% 1.17/1.42  zero mul;
% 1.17/1.42  addition mul;
% 1.17/1.42  ifeq mul;
% 1.17/1.42  ifeq2 mul;
% 1.17/1.42  ";
% 1.17/1.42  
% 1.17/1.42  let p2 = precedence F "
% 1.17/1.42  domain_difference > forward_box > ifeq2 > ifeq > multiplication > leq > forward_diamond > backward_diamond > backward_box > antidomain > domain > coantidomain > codomain > c > addition > zero = one = true = sK2_goals_X1 = sK3_goals_X0 = sK1_goals_X2";
% 1.17/1.42  
% 1.17/1.42  let o_auto = AUTO Axioms;
% 1.17/1.42  
% 1.17/1.42  let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.17/1.42  
% 1.17/1.42  let Conjectures = equations F X " forward_box(sK3_goals_X0,domain(sK2_goals_X1)) addition domain(sK1_goals_X2) = one;"
% 1.17/1.42  ;
% 1.17/1.42  (*
% 1.17/1.42  let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.17/1.42  
% 1.17/1.42  let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% 1.17/1.42  *)
% 1.17/1.42  #time on;
% 1.17/1.42  
% 1.17/1.42  let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.17/1.42  
% 1.17/1.42  #time off;
% 1.17/1.42  
% 1.17/1.42  
% 1.17/1.42  let status = if res then "unsatisfiable" else "satisfiable";
% 1.17/1.42  #quit;
% 1.17/1.42  Verbose level is now 1
% 1.17/1.42  
% 1.17/1.42  F : signature = <signature>
% 1.17/1.42  X : variable_set = <variable set>
% 1.17/1.42  
% 1.17/1.42  Axioms : (F,X) equations = { multiplication(multiplication(A,B),C) =
% 1.17/1.42                               multiplication(A,multiplication(B,C)),
% 1.17/1.43                               ifeq2(A,A,B,C) = B,
% 1.17/1.43                               ifeq(A,A,B,C) = B,
% 1.17/1.43                               zero addition A = A,
% 1.17/1.43                               A addition A = A,
% 1.17/1.43                               multiplication(A,one) = A,
% 1.17/1.43                               multiplication(one,A) = A,
% 1.17/1.43                               multiplication(A,B addition C) =
% 1.17/1.43                               multiplication(A,B) addition multiplication(A,C),
% 1.17/1.43                               multiplication(A addition B,C) =
% 1.17/1.43                               multiplication(A,C) addition multiplication(B,C),
% 1.17/1.43                               multiplication(A,zero) = zero,
% 1.17/1.43                               multiplication(zero,A) = zero,
% 1.17/1.43                               ifeq(leq(A,B),true,A addition B,B) = B,
% 1.17/1.43                               ifeq2(A addition B,B,leq(A,B),true) = true,
% 1.17/1.43                               multiplication(antidomain(X0),X0) = zero,
% 1.17/1.43                               antidomain(multiplication(X0,antidomain(
% 1.17/1.43                                                            antidomain(X1)))) addition 
% 1.17/1.43                               antidomain(multiplication(X0,X1)) =
% 1.17/1.43                               antidomain(multiplication(X0,antidomain(
% 1.17/1.43                                                            antidomain(X1)))),
% 1.17/1.43                               antidomain(antidomain(X0)) addition antidomain(X0)
% 1.17/1.43                               = one,
% 1.17/1.43                               domain(X0) = antidomain(antidomain(X0)),
% 1.17/1.43                               multiplication(X0,coantidomain(X0)) = zero,
% 1.17/1.43                               coantidomain(multiplication(coantidomain(
% 1.17/1.43                                                           coantidomain(X0)),X1)) addition 
% 1.17/1.43                               coantidomain(multiplication(X0,X1)) =
% 1.17/1.43                               coantidomain(multiplication(coantidomain(
% 1.17/1.43                                                           coantidomain(X0)),X1)),
% 1.17/1.43                               coantidomain(coantidomain(X0)) addition 
% 1.17/1.43                               coantidomain(X0) = one,
% 1.17/1.43                               codomain(X0) = coantidomain(coantidomain(X0)),
% 1.17/1.43                               c(X0) = antidomain(domain(X0)),
% 1.17/1.43                               domain_difference(X0,X1) =
% 1.17/1.43                               multiplication(domain(X0),antidomain(X1)),
% 1.17/1.43                               forward_diamond(X0,X1) =
% 1.17/1.43                               domain(multiplication(X0,domain(X1))),
% 1.17/1.43                               backward_diamond(X0,X1) =
% 1.17/1.43                               codomain(multiplication(codomain(X1),X0)),
% 1.17/1.43                               forward_box(X0,X1) =
% 1.17/1.43                               c(forward_diamond(X0,c(X1))),
% 1.17/1.43                               backward_box(X0,X1) =
% 1.17/1.43                               c(backward_diamond(X0,c(X1))),
% 1.17/1.43                               backward_box(sK3_goals_X0,domain(sK1_goals_X2)) addition 
% 1.17/1.43                               domain(sK2_goals_X1) = one } (28 equation(s))
% 1.17/1.43  s1 : F status = <status>
% 1.17/1.43  p1 : F precedence = <precedence>
% 1.17/1.43  s2 : F status = <status>
% 1.17/1.43  p2 : F precedence = <precedence>
% 1.17/1.43  o_auto : F term_ordering = <term ordering>
% 1.17/1.43  o : F term_ordering = <term ordering>
% 1.17/1.43  Conjectures : (F,X) equations = { forward_box(sK3_goals_X0,domain(sK2_goals_X1)) addition 
% 1.17/1.43                                    domain(sK1_goals_X2) = one }
% 1.17/1.43                                    (1 equation(s))
% 1.17/1.43  time is now on
% 1.17/1.43  
% 1.17/1.43  Initializing completion ...
% 1.17/1.43  New rule produced : [1] A addition A -> A
% 1.17/1.43  Current number of equations to process: 0
% 1.17/1.43  Current number of ordered equations: 28
% 1.17/1.43  Current number of rules: 1
% 1.17/1.43  New rule produced : [2] zero addition A -> A
% 1.17/1.43  Current number of equations to process: 0
% 1.17/1.43  Current number of ordered equations: 27
% 1.17/1.43  Current number of rules: 2
% 1.17/1.43  New rule produced : [3] multiplication(A,zero) -> zero
% 1.17/1.43  Current number of equations to process: 0
% 1.17/1.43  Current number of ordered equations: 26
% 1.17/1.43  Current number of rules: 3
% 1.17/1.43  New rule produced : [4] multiplication(A,one) -> A
% 1.17/1.43  Current number of equations to process: 0
% 1.17/1.43  Current number of ordered equations: 25
% 1.17/1.43  Current number of rules: 4
% 1.17/1.43  New rule produced : [5] multiplication(zero,A) -> zero
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 24
% 1.17/1.44  Current number of rules: 5
% 1.17/1.44  New rule produced : [6] multiplication(one,A) -> A
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 23
% 1.17/1.44  Current number of rules: 6
% 1.17/1.44  New rule produced : [7] coantidomain(coantidomain(X0)) -> codomain(X0)
% 1.17/1.44  Current number of equations to process: 2
% 1.17/1.44  Current number of ordered equations: 20
% 1.17/1.44  Current number of rules: 7
% 1.17/1.44  New rule produced : [8] antidomain(antidomain(X0)) -> domain(X0)
% 1.17/1.44  Current number of equations to process: 2
% 1.17/1.44  Current number of ordered equations: 19
% 1.17/1.44  Current number of rules: 8
% 1.17/1.44  New rule produced : [9] antidomain(domain(X0)) -> c(X0)
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 20
% 1.17/1.44  Current number of rules: 9
% 1.17/1.44  New rule produced : [10] multiplication(X0,coantidomain(X0)) -> zero
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 19
% 1.17/1.44  Current number of rules: 10
% 1.17/1.44  New rule produced : [11] multiplication(antidomain(X0),X0) -> zero
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 18
% 1.17/1.44  Current number of rules: 11
% 1.17/1.44  New rule produced : [12] ifeq2(A,A,B,C) -> B
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 17
% 1.17/1.44  Current number of rules: 12
% 1.17/1.44  New rule produced : [13] ifeq(A,A,B,C) -> B
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 16
% 1.17/1.44  Current number of rules: 13
% 1.17/1.44  New rule produced : [14] c(backward_diamond(X0,c(X1))) -> backward_box(X0,X1)
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 15
% 1.17/1.44  Current number of rules: 14
% 1.17/1.44  New rule produced :
% 1.17/1.44  [15] codomain(multiplication(codomain(X1),X0)) -> backward_diamond(X0,X1)
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 14
% 1.17/1.44  Current number of rules: 15
% 1.17/1.44  New rule produced :
% 1.17/1.44  [16] domain(multiplication(X0,domain(X1))) -> forward_diamond(X0,X1)
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 13
% 1.17/1.44  Current number of rules: 16
% 1.17/1.44  New rule produced : [17] domain(X0) addition antidomain(X0) -> one
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 12
% 1.17/1.44  Current number of rules: 17
% 1.17/1.44  New rule produced : [18] codomain(X0) addition coantidomain(X0) -> one
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 11
% 1.17/1.44  Current number of rules: 18
% 1.17/1.44  New rule produced : [19] forward_box(X0,X1) -> c(forward_diamond(X0,c(X1)))
% 1.17/1.44  The conjecture has been reduced. 
% 1.17/1.44  Conjecture is now:
% 1.17/1.44  c(forward_diamond(sK3_goals_X0,c(domain(sK2_goals_X1)))) addition domain(sK1_goals_X2) = one
% 1.17/1.44  
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 10
% 1.17/1.44  Current number of rules: 19
% 1.17/1.44  New rule produced :
% 1.17/1.44  [20] domain_difference(X0,X1) -> multiplication(domain(X0),antidomain(X1))
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 9
% 1.17/1.44  Current number of rules: 20
% 1.17/1.44  New rule produced :
% 1.17/1.44  [21]
% 1.17/1.44  backward_box(sK3_goals_X0,domain(sK1_goals_X2)) addition domain(sK2_goals_X1)
% 1.17/1.44  -> one
% 1.17/1.44  Current number of equations to process: 0
% 1.17/1.44  Current number of ordered equations: 8
% 1.17/1.44  Current number of rules: 21
% 1.17/1.44  New rule produced :
% 1.17/1.44  [22]
% 1.17/1.44  multiplication(A,multiplication(B,C)) <->
% 1.17/1.44  multiplication(multiplication(A,B),C)
% 1.17/1.44  Current number of equations to process: 14
% 1.17/1.44  Current number of ordered equations: 28
% 1.17/1.44  Current number of rules: 22
% 1.17/1.44  New rule produced :
% 1.17/1.44  [23]
% 1.17/1.44  multiplication(multiplication(A,B),C) <->
% 1.17/1.44  multiplication(A,multiplication(B,C))
% 1.17/1.44  Current number of equations to process: 14
% 1.17/1.44  Current number of ordered equations: 27
% 1.17/1.44  Current number of rules: 23
% 1.17/1.44  New rule produced :
% 1.17/1.44  [24]
% 1.17/1.44  multiplication(A,B addition C) ->
% 1.17/1.44  multiplication(A,B) addition multiplication(A,C)
% 1.17/1.44  Current number of equations to process: 14
% 1.17/1.44  Current number of ordered equations: 26
% 1.17/1.44  Current number of rules: 24
% 1.17/1.44  New rule produced :
% 1.17/1.44  [25]
% 1.17/1.44  multiplication(A addition B,C) ->
% 1.17/1.44  multiplication(A,C) addition multiplication(B,C)
% 1.17/1.44  Current number of equations to process: 14
% 1.17/1.44  Current number of ordered equations: 25
% 1.17/1.44  Current number of rules: 25
% 1.17/1.44  New rule produced : [26] ifeq2(A addition B,B,leq(A,B),true) -> true
% 1.17/1.45  Current number of equations to process: 14
% 1.17/1.45  Current number of ordered equations: 24
% 1.17/1.45  Current number of rules: 26
% 1.17/1.45  New rule produced : [27] ifeq(leq(A,B),true,A addition B,B) -> B
% 1.17/1.45  Current number of equations to process: 14
% 1.17/1.45  Current number of ordered equations: 23
% 1.17/1.45  Current number of rules: 27
% 1.17/1.45  New rule produced :
% 1.17/1.45  [28]
% 1.17/1.45  coantidomain(multiplication(codomain(X0),X1)) addition coantidomain(multiplication(X0,X1))
% 1.17/1.45  -> coantidomain(multiplication(codomain(X0),X1))
% 1.17/1.45  Current number of equations to process: 14
% 1.17/1.45  Current number of ordered equations: 22
% 1.17/1.45  Current number of rules: 28
% 1.17/1.45  New rule produced :
% 1.17/1.45  [29]
% 1.17/1.45  antidomain(multiplication(X0,domain(X1))) addition antidomain(multiplication(X0,X1))
% 1.17/1.45  -> antidomain(multiplication(X0,domain(X1)))
% 1.17/1.45  Current number of equations to process: 14
% 1.17/1.45  Current number of ordered equations: 21
% 1.17/1.45  Current number of rules: 29
% 1.17/1.45  New rule produced : [30] coantidomain(one) -> zero
% 1.17/1.45  Current number of equations to process: 14
% 1.17/1.45  Current number of ordered equations: 20
% 1.17/1.45  Current number of rules: 30
% 1.17/1.45  New rule produced : [31] antidomain(one) -> zero
% 1.17/1.45  Current number of equations to process: 14
% 1.17/1.45  Current number of ordered equations: 19
% 1.17/1.45  Current number of rules: 31
% 1.17/1.45  New rule produced : [32] domain(antidomain(A)) -> c(A)
% 1.17/1.45  Current number of equations to process: 15
% 1.17/1.45  Current number of ordered equations: 17
% 1.17/1.45  Current number of rules: 32
% 1.17/1.45  New rule produced : [33] backward_diamond(zero,A) -> codomain(zero)
% 1.17/1.45  Current number of equations to process: 15
% 1.17/1.45  Current number of ordered equations: 16
% 1.17/1.45  Current number of rules: 33
% 1.17/1.45  New rule produced : [34] forward_diamond(zero,A) -> domain(zero)
% 1.17/1.45  Current number of equations to process: 15
% 1.17/1.45  Current number of ordered equations: 15
% 1.17/1.45  Current number of rules: 34
% 1.17/1.45  New rule produced :
% 1.17/1.45  [35] coantidomain(codomain(A)) -> codomain(coantidomain(A))
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 13
% 1.17/1.45  Current number of rules: 35
% 1.17/1.45  New rule produced : [36] antidomain(c(A)) -> domain(domain(A))
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 12
% 1.17/1.45  Current number of rules: 36
% 1.17/1.45  New rule produced : [37] backward_diamond(one,A) -> codomain(codomain(A))
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 11
% 1.17/1.45  Current number of rules: 37
% 1.17/1.45  New rule produced : [38] forward_diamond(one,A) -> domain(domain(A))
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 10
% 1.17/1.45  Current number of rules: 38
% 1.17/1.45  New rule produced : [39] one addition domain(A) -> one
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 9
% 1.17/1.45  Current number of rules: 39
% 1.17/1.45  New rule produced : [40] one addition antidomain(A) -> one
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 8
% 1.17/1.45  Current number of rules: 40
% 1.17/1.45  New rule produced : [41] one addition codomain(A) -> one
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 7
% 1.17/1.45  Current number of rules: 41
% 1.17/1.45  New rule produced : [42] one addition coantidomain(A) -> one
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 6
% 1.17/1.45  Current number of rules: 42
% 1.17/1.45  New rule produced : [43] multiplication(coantidomain(A),codomain(A)) -> zero
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 5
% 1.17/1.45  Current number of rules: 43
% 1.17/1.45  New rule produced : [44] multiplication(domain(A),antidomain(A)) -> zero
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 4
% 1.17/1.45  Current number of rules: 44
% 1.17/1.45  New rule produced : [45] multiplication(c(A),domain(A)) -> zero
% 1.17/1.45  Current number of equations to process: 16
% 1.17/1.45  Current number of ordered equations: 3
% 1.17/1.45  Current number of rules: 45
% 1.17/1.45  New rule produced :
% 1.17/1.45  [46] backward_diamond(codomain(coantidomain(A)),A) -> codomain(zero)
% 1.17/1.45  Current number of equations to process: 15
% 1.17/1.45  Current number of ordered equations: 3
% 1.17/1.45  Current number of rules: 46
% 1.17/1.45  New rule produced : [47] c(A) addition domain(A) -> one
% 1.17/1.45  Current number of equations to process: 14
% 1.17/1.45  Current number of ordered equations: 3
% 1.17/1.45  Current number of rules: 47
% 1.17/1.45  New rule produced : [48] c(A) addition domain(domain(A)) -> one
% 1.17/1.45  Current number of equations to process: 14
% 1.19/1.49  Current number of ordered equations: 2
% 1.19/1.49  Current number of rules: 48
% 1.19/1.49  New rule produced :
% 1.19/1.49  [49] codomain(coantidomain(A)) addition codomain(A) -> one
% 1.19/1.49  Current number of equations to process: 14
% 1.19/1.49  Current number of ordered equations: 1
% 1.19/1.49  Current number of rules: 49
% 1.19/1.49  New rule produced :
% 1.19/1.49  [50] c(multiplication(A,domain(B))) -> antidomain(forward_diamond(A,B))
% 1.19/1.49  Current number of equations to process: 14
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 50
% 1.19/1.49  New rule produced :
% 1.19/1.49  [51] one addition backward_box(sK3_goals_X0,domain(sK1_goals_X2)) -> one
% 1.19/1.49  Current number of equations to process: 15
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 51
% 1.19/1.49  New rule produced :
% 1.19/1.49  [52] multiplication(multiplication(A,B),coantidomain(B)) -> zero
% 1.19/1.49  Current number of equations to process: 17
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 52
% 1.19/1.49  New rule produced :
% 1.19/1.49  [53] multiplication(multiplication(A,antidomain(B)),B) -> zero
% 1.19/1.49  Current number of equations to process: 16
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 53
% 1.19/1.49  New rule produced :
% 1.19/1.49  [54] multiplication(A,multiplication(coantidomain(A),B)) -> zero
% 1.19/1.49  Current number of equations to process: 19
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 54
% 1.19/1.49  New rule produced :
% 1.19/1.49  [55] multiplication(antidomain(A),multiplication(A,B)) -> zero
% 1.19/1.49  Current number of equations to process: 18
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 55
% 1.19/1.49  New rule produced :
% 1.19/1.49  [56]
% 1.19/1.49  c(backward_diamond(A,backward_box(B,C))) <->
% 1.19/1.49  backward_box(A,backward_diamond(B,c(C)))
% 1.19/1.49  Current number of equations to process: 17
% 1.19/1.49  Current number of ordered equations: 1
% 1.19/1.49  Current number of rules: 56
% 1.19/1.49  New rule produced :
% 1.19/1.49  [57]
% 1.19/1.49  backward_box(A,backward_diamond(B,c(C))) <->
% 1.19/1.49  c(backward_diamond(A,backward_box(B,C)))
% 1.19/1.49  Current number of equations to process: 17
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 57
% 1.19/1.49  New rule produced :
% 1.19/1.49  [58]
% 1.19/1.49  codomain(multiplication(backward_diamond(A,B),C)) ->
% 1.19/1.49  backward_diamond(C,multiplication(codomain(B),A))
% 1.19/1.49  Current number of equations to process: 16
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 58
% 1.19/1.49  New rule produced :
% 1.19/1.49  [59]
% 1.19/1.49  domain(multiplication(A,forward_diamond(B,C))) ->
% 1.19/1.49  forward_diamond(A,multiplication(B,domain(C)))
% 1.19/1.49  Current number of equations to process: 15
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 59
% 1.19/1.49  New rule produced : [60] leq(A,A) -> true
% 1.19/1.49  Current number of equations to process: 43
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 60
% 1.19/1.49  New rule produced : [61] leq(A,A addition B) -> true
% 1.19/1.49  Current number of equations to process: 42
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 61
% 1.19/1.49  New rule produced : [62] leq(zero,A) -> true
% 1.19/1.49  Current number of equations to process: 43
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 62
% 1.19/1.49  New rule produced : [63] ifeq2(A,zero,leq(A,zero),true) -> true
% 1.19/1.49  Current number of equations to process: 42
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 63
% 1.19/1.49  New rule produced : [64] ifeq(leq(A,zero),true,A,zero) -> zero
% 1.19/1.49  Current number of equations to process: 68
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 64
% 1.19/1.49  New rule produced :
% 1.19/1.49  [65]
% 1.19/1.49  forward_diamond(A,B) addition antidomain(multiplication(A,domain(B))) -> one
% 1.19/1.49  Current number of equations to process: 89
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 65
% 1.19/1.49  New rule produced :
% 1.19/1.49  [66]
% 1.19/1.49  backward_diamond(A,B) addition coantidomain(multiplication(codomain(B),A)) ->
% 1.19/1.49  one
% 1.19/1.49  Current number of equations to process: 87
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 66
% 1.19/1.49  New rule produced :
% 1.19/1.49  [67]
% 1.19/1.49  codomain(multiplication(multiplication(codomain(A),B),C)) ->
% 1.19/1.49  backward_diamond(multiplication(B,C),A)
% 1.19/1.49  Current number of equations to process: 85
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 67
% 1.19/1.49  New rule produced :
% 1.19/1.49  [68]
% 1.19/1.49  domain(multiplication(A,multiplication(B,domain(C)))) ->
% 1.19/1.49  forward_diamond(multiplication(A,B),C)
% 1.19/1.49  Current number of equations to process: 84
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 68
% 1.19/1.49  New rule produced :
% 1.19/1.49  [69]
% 1.19/1.49  multiplication(A,domain(B)) addition multiplication(A,antidomain(B)) -> A
% 1.19/1.51  Current number of equations to process: 83
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 69
% 1.19/1.51  New rule produced :
% 1.19/1.51  [70]
% 1.19/1.51  multiplication(A,codomain(B)) addition multiplication(A,coantidomain(B)) -> A
% 1.19/1.51  Current number of equations to process: 82
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 70
% 1.19/1.51  New rule produced :
% 1.19/1.51  [71]
% 1.19/1.51  multiplication(domain(B),A) addition multiplication(antidomain(B),A) -> A
% 1.19/1.51  Current number of equations to process: 81
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 71
% 1.19/1.51  New rule produced :
% 1.19/1.51  [72]
% 1.19/1.51  multiplication(codomain(B),A) addition multiplication(coantidomain(B),A) -> A
% 1.19/1.51  Current number of equations to process: 80
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 72
% 1.19/1.51  New rule produced :
% 1.19/1.51  [73]
% 1.19/1.51  multiplication(A,multiplication(multiplication(B,C),X0)) <->
% 1.19/1.51  multiplication(multiplication(A,B),multiplication(C,X0))
% 1.19/1.51  Current number of equations to process: 79
% 1.19/1.51  Current number of ordered equations: 1
% 1.19/1.51  Current number of rules: 73
% 1.19/1.51  New rule produced :
% 1.19/1.51  [74]
% 1.19/1.51  multiplication(multiplication(A,B),multiplication(C,X0)) <->
% 1.19/1.51  multiplication(A,multiplication(multiplication(B,C),X0))
% 1.19/1.51  Current number of equations to process: 79
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 74
% 1.19/1.51  New rule produced :
% 1.19/1.51  [75]
% 1.19/1.51  multiplication(multiplication(A,multiplication(B,C)),X0) <->
% 1.19/1.51  multiplication(multiplication(A,B),multiplication(C,X0))
% 1.19/1.51  Current number of equations to process: 78
% 1.19/1.51  Current number of ordered equations: 1
% 1.19/1.51  Current number of rules: 75
% 1.19/1.51  New rule produced :
% 1.19/1.51  [76]
% 1.19/1.51  multiplication(multiplication(A,B),multiplication(C,X0)) <->
% 1.19/1.51  multiplication(multiplication(A,multiplication(B,C)),X0)
% 1.19/1.51  Current number of equations to process: 78
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 76
% 1.19/1.51  New rule produced :
% 1.19/1.51  [77]
% 1.19/1.51  multiplication(A,multiplication(multiplication(B,C),X0)) <->
% 1.19/1.51  multiplication(multiplication(multiplication(A,B),C),X0)
% 1.19/1.51  Current number of equations to process: 75
% 1.19/1.51  Current number of ordered equations: 5
% 1.19/1.51  Current number of rules: 77
% 1.19/1.51  New rule produced :
% 1.19/1.51  [78]
% 1.19/1.51  multiplication(A,multiplication(B,multiplication(C,X0))) <->
% 1.19/1.51  multiplication(multiplication(A,multiplication(B,C)),X0)
% 1.19/1.51  Current number of equations to process: 75
% 1.19/1.51  Current number of ordered equations: 4
% 1.19/1.51  Current number of rules: 78
% 1.19/1.51  New rule produced :
% 1.19/1.51  [79]
% 1.19/1.51  multiplication(A,multiplication(B,multiplication(C,X0))) <->
% 1.19/1.51  multiplication(multiplication(multiplication(A,B),C),X0)
% 1.19/1.51  Current number of equations to process: 75
% 1.19/1.51  Current number of ordered equations: 3
% 1.19/1.51  Current number of rules: 79
% 1.19/1.51  New rule produced :
% 1.19/1.51  [80]
% 1.19/1.51  multiplication(multiplication(A,multiplication(B,C)),X0) <->
% 1.19/1.51  multiplication(A,multiplication(B,multiplication(C,X0)))
% 1.19/1.51  Current number of equations to process: 75
% 1.19/1.51  Current number of ordered equations: 2
% 1.19/1.51  Current number of rules: 80
% 1.19/1.51  New rule produced :
% 1.19/1.51  [81]
% 1.19/1.51  multiplication(multiplication(multiplication(A,B),C),X0) <->
% 1.19/1.51  multiplication(A,multiplication(multiplication(B,C),X0))
% 1.19/1.51  Current number of equations to process: 75
% 1.19/1.51  Current number of ordered equations: 1
% 1.19/1.51  Current number of rules: 81
% 1.19/1.51  New rule produced :
% 1.19/1.51  [82]
% 1.19/1.51  multiplication(multiplication(multiplication(A,B),C),X0) <->
% 1.19/1.51  multiplication(A,multiplication(B,multiplication(C,X0)))
% 1.19/1.51  Current number of equations to process: 75
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 82
% 1.19/1.51  New rule produced :
% 1.19/1.51  [83] ifeq2(one,domain(A),leq(antidomain(A),domain(A)),true) -> true
% 1.19/1.51  Current number of equations to process: 73
% 1.19/1.51  Current number of ordered equations: 1
% 1.19/1.51  Current number of rules: 83
% 1.19/1.51  New rule produced :
% 1.19/1.51  [84] ifeq2(one,antidomain(A),leq(domain(A),antidomain(A)),true) -> true
% 1.19/1.51  Current number of equations to process: 73
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.51  Current number of rules: 84
% 1.19/1.51  New rule produced :
% 1.19/1.51  [85] ifeq2(one,codomain(A),leq(coantidomain(A),codomain(A)),true) -> true
% 1.19/1.51  Current number of equations to process: 71
% 1.19/1.51  Current number of ordered equations: 1
% 1.19/1.51  Current number of rules: 85
% 1.19/1.51  New rule produced :
% 1.19/1.51  [86] ifeq2(one,coantidomain(A),leq(codomain(A),coantidomain(A)),true) -> true
% 1.19/1.51  Current number of equations to process: 71
% 1.19/1.51  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 86
% 1.19/1.53  New rule produced :
% 1.19/1.53  [87]
% 1.19/1.53  ifeq(leq(domain(A),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 1.19/1.53  Current number of equations to process: 69
% 1.19/1.53  Current number of ordered equations: 1
% 1.19/1.53  Current number of rules: 87
% 1.19/1.53  New rule produced :
% 1.19/1.53  [88] ifeq(leq(antidomain(A),domain(A)),true,one,domain(A)) -> domain(A)
% 1.19/1.53  Current number of equations to process: 69
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 88
% 1.19/1.53  New rule produced :
% 1.19/1.53  [89]
% 1.19/1.53  ifeq(leq(codomain(A),coantidomain(A)),true,one,coantidomain(A)) ->
% 1.19/1.53  coantidomain(A)
% 1.19/1.53  Current number of equations to process: 67
% 1.19/1.53  Current number of ordered equations: 1
% 1.19/1.53  Current number of rules: 89
% 1.19/1.53  New rule produced :
% 1.19/1.53  [90]
% 1.19/1.53  ifeq(leq(coantidomain(A),codomain(A)),true,one,codomain(A)) -> codomain(A)
% 1.19/1.53  Current number of equations to process: 67
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 90
% 1.19/1.53  New rule produced :
% 1.19/1.53  [91]
% 1.19/1.53  multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))) addition 
% 1.19/1.53  multiplication(A,domain(sK2_goals_X1)) -> A
% 1.19/1.53  Current number of equations to process: 66
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 91
% 1.19/1.53  New rule produced :
% 1.19/1.53  [92]
% 1.19/1.53  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A) addition 
% 1.19/1.53  multiplication(domain(sK2_goals_X1),A) -> A
% 1.19/1.53  Current number of equations to process: 65
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 92
% 1.19/1.53  New rule produced :
% 1.19/1.53  [93] ifeq2(A addition B,A,leq(A addition B,A),true) -> true
% 1.19/1.53  Current number of equations to process: 64
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 93
% 1.19/1.53  New rule produced : [94] ifeq(leq(A addition B,A),true,A addition B,A) -> A
% 1.19/1.53  Current number of equations to process: 63
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 94
% 1.19/1.53  New rule produced :
% 1.19/1.53  [95]
% 1.19/1.53  codomain(multiplication(codomain(A),B) addition multiplication(codomain(A),C))
% 1.19/1.53  <-> backward_diamond(B addition C,A)
% 1.19/1.53  Current number of equations to process: 60
% 1.19/1.53  Current number of ordered equations: 1
% 1.19/1.53  Current number of rules: 95
% 1.19/1.53  New rule produced :
% 1.19/1.53  [96]
% 1.19/1.53  backward_diamond(B addition C,A) <->
% 1.19/1.53  codomain(multiplication(codomain(A),B) addition multiplication(codomain(A),C))
% 1.19/1.53  Current number of equations to process: 60
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 96
% 1.19/1.53  New rule produced :
% 1.19/1.53  [97]
% 1.19/1.53  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 1.19/1.53  forward_diamond(A addition C,B)
% 1.19/1.53  Current number of equations to process: 59
% 1.19/1.53  Current number of ordered equations: 1
% 1.19/1.53  Current number of rules: 97
% 1.19/1.53  New rule produced :
% 1.19/1.53  [98]
% 1.19/1.53  forward_diamond(A addition C,B) <->
% 1.19/1.53  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B)))
% 1.19/1.53  Current number of equations to process: 59
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 98
% 1.19/1.53  New rule produced :
% 1.19/1.53  [99]
% 1.19/1.53  ifeq2(one,domain(sK2_goals_X1),leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 1.19/1.53                                 domain(sK2_goals_X1)),true) -> true
% 1.19/1.53  Current number of equations to process: 58
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 99
% 1.19/1.53  New rule produced :
% 1.19/1.53  [100]
% 1.19/1.53  ifeq(leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),domain(sK2_goals_X1)),true,one,
% 1.19/1.53  domain(sK2_goals_X1)) -> domain(sK2_goals_X1)
% 1.19/1.53  Current number of equations to process: 57
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 100
% 1.19/1.53  New rule produced :
% 1.19/1.53  [101]
% 1.19/1.53  multiplication(antidomain(A addition B),A) addition multiplication(antidomain(
% 1.19/1.53                                                                     A addition B),B)
% 1.19/1.53  -> zero
% 1.19/1.53  Current number of equations to process: 56
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 101
% 1.19/1.53  New rule produced :
% 1.19/1.53  [102]
% 1.19/1.53  multiplication(A,coantidomain(A addition B)) addition multiplication(B,
% 1.19/1.53                                                        coantidomain(A addition B))
% 1.19/1.53  -> zero
% 1.19/1.53  Current number of equations to process: 55
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.53  Current number of rules: 102
% 1.19/1.53  New rule produced :
% 1.19/1.53  [103]
% 1.19/1.53  codomain(coantidomain(A)) addition coantidomain(A) ->
% 1.19/1.53  codomain(coantidomain(A))
% 1.19/1.53  Current number of equations to process: 58
% 1.19/1.53  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 103
% 1.19/1.60  New rule produced :
% 1.19/1.60  [104]
% 1.19/1.60  coantidomain(zero) addition coantidomain(multiplication(codomain(zero),A)) ->
% 1.19/1.60  coantidomain(multiplication(codomain(zero),A))
% 1.19/1.60  Current number of equations to process: 68
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 104
% 1.19/1.60  New rule produced :
% 1.19/1.60  [105]
% 1.19/1.60  coantidomain(multiplication(codomain(one),A)) addition coantidomain(A) ->
% 1.19/1.60  coantidomain(multiplication(codomain(one),A))
% 1.19/1.60  Current number of equations to process: 67
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 105
% 1.19/1.60  New rule produced :
% 1.19/1.60  [106]
% 1.19/1.60  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(A),B))
% 1.19/1.60  -> one
% 1.19/1.60  Current number of equations to process: 66
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 106
% 1.19/1.60  New rule produced :
% 1.19/1.60  [107]
% 1.19/1.60  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)))
% 1.19/1.60  -> true
% 1.19/1.60  Current number of equations to process: 89
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 107
% 1.19/1.60  New rule produced :
% 1.19/1.60  [108]
% 1.19/1.60  coantidomain(zero) addition coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.19/1.60  -> coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.19/1.60  Current number of equations to process: 95
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 108
% 1.19/1.60  New rule produced :
% 1.19/1.60  [109]
% 1.19/1.60  coantidomain(zero) addition coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.19/1.60  -> coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.19/1.60  Current number of equations to process: 94
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 109
% 1.19/1.60  New rule produced :
% 1.19/1.60  [110]
% 1.19/1.60  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)) addition C)
% 1.19/1.60  -> true
% 1.19/1.60  Current number of equations to process: 93
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 110
% 1.19/1.60  New rule produced : [111] c(A) addition antidomain(A) -> c(A)
% 1.19/1.60  Current number of equations to process: 97
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 111
% 1.19/1.60  New rule produced :
% 1.19/1.60  [112]
% 1.19/1.60  antidomain(zero) addition antidomain(multiplication(A,domain(zero))) ->
% 1.19/1.60  antidomain(multiplication(A,domain(zero)))
% 1.19/1.60  Current number of equations to process: 103
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 112
% 1.19/1.60  New rule produced :
% 1.19/1.60  [113]
% 1.19/1.60  antidomain(multiplication(A,domain(one))) addition antidomain(A) ->
% 1.19/1.60  antidomain(multiplication(A,domain(one)))
% 1.19/1.60  Current number of equations to process: 102
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 113
% 1.19/1.60  New rule produced :
% 1.19/1.60  [114]
% 1.19/1.60  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(B)))
% 1.19/1.60  -> one
% 1.19/1.60  Current number of equations to process: 101
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 114
% 1.19/1.60  New rule produced :
% 1.19/1.60  [115]
% 1.19/1.60  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))))
% 1.19/1.60  -> true
% 1.19/1.60  Current number of equations to process: 124
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 115
% 1.19/1.60  New rule produced :
% 1.19/1.60  [116]
% 1.19/1.60  antidomain(zero) addition antidomain(multiplication(A,domain(coantidomain(A))))
% 1.19/1.60  -> antidomain(multiplication(A,domain(coantidomain(A))))
% 1.19/1.60  Current number of equations to process: 130
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 116
% 1.19/1.60  New rule produced :
% 1.19/1.60  [117]
% 1.19/1.60  antidomain(zero) addition antidomain(multiplication(antidomain(A),domain(A)))
% 1.19/1.60  -> antidomain(multiplication(antidomain(A),domain(A)))
% 1.19/1.60  Current number of equations to process: 129
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 117
% 1.19/1.60  New rule produced :
% 1.19/1.60  [118]
% 1.19/1.60  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))) addition C)
% 1.19/1.60  -> true
% 1.19/1.60  Current number of equations to process: 128
% 1.19/1.60  Current number of ordered equations: 0
% 1.19/1.60  Current number of rules: 118
% 1.19/1.60  New rule produced : [119] coantidomain(zero) -> codomain(one)
% 1.19/1.60  Rule
% 1.19/1.60  [104]
% 1.19/1.60  coantidomain(zero) addition coantidomain(multiplication(codomain(zero),A)) ->
% 1.19/1.60  coantidomain(multiplication(codomain(zero),A)) collapsed.
% 1.19/1.60  Rule
% 1.19/1.60  [108]
% 1.19/1.60  coantidomain(zero) addition coantidomain(multiplication(codomain(A),coantidomain(A)))
% 1.19/1.60  -> coantidomain(multiplication(codomain(A),coantidomain(A))) collapsed.
% 1.19/1.62  Rule
% 1.19/1.62  [109]
% 1.19/1.62  coantidomain(zero) addition coantidomain(multiplication(codomain(antidomain(A)),A))
% 1.19/1.62  -> coantidomain(multiplication(codomain(antidomain(A)),A)) collapsed.
% 1.19/1.62  Current number of equations to process: 128
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 116
% 1.19/1.62  Rule [119] coantidomain(zero) -> codomain(one) is composed into [119]
% 1.19/1.62                                                                  coantidomain(zero)
% 1.19/1.62                                                                  -> one
% 1.19/1.62  New rule produced : [120] codomain(one) -> one
% 1.19/1.62  Rule
% 1.19/1.62  [105]
% 1.19/1.62  coantidomain(multiplication(codomain(one),A)) addition coantidomain(A) ->
% 1.19/1.62  coantidomain(multiplication(codomain(one),A)) collapsed.
% 1.19/1.62  Current number of equations to process: 129
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 116
% 1.19/1.62  New rule produced : [121] antidomain(zero) -> domain(one)
% 1.19/1.62  Rule
% 1.19/1.62  [112]
% 1.19/1.62  antidomain(zero) addition antidomain(multiplication(A,domain(zero))) ->
% 1.19/1.62  antidomain(multiplication(A,domain(zero))) collapsed.
% 1.19/1.62  Rule
% 1.19/1.62  [116]
% 1.19/1.62  antidomain(zero) addition antidomain(multiplication(A,domain(coantidomain(A))))
% 1.19/1.62  -> antidomain(multiplication(A,domain(coantidomain(A)))) collapsed.
% 1.19/1.62  Rule
% 1.19/1.62  [117]
% 1.19/1.62  antidomain(zero) addition antidomain(multiplication(antidomain(A),domain(A)))
% 1.19/1.62  -> antidomain(multiplication(antidomain(A),domain(A))) collapsed.
% 1.19/1.62  Current number of equations to process: 131
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 114
% 1.19/1.62  Rule [121] antidomain(zero) -> domain(one) is composed into [121]
% 1.19/1.62                                                              antidomain(zero)
% 1.19/1.62                                                              -> one
% 1.19/1.62  New rule produced : [122] domain(one) -> one
% 1.19/1.62  Rule
% 1.19/1.62  [113]
% 1.19/1.62  antidomain(multiplication(A,domain(one))) addition antidomain(A) ->
% 1.19/1.62  antidomain(multiplication(A,domain(one))) collapsed.
% 1.19/1.62  Current number of equations to process: 132
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 114
% 1.19/1.62  New rule produced : [123] c(antidomain(A)) -> domain(domain(A))
% 1.19/1.62  Current number of equations to process: 131
% 1.19/1.62  Current number of ordered equations: 1
% 1.19/1.62  Current number of rules: 115
% 1.19/1.62  New rule produced : [124] domain(c(A)) -> c(domain(A))
% 1.19/1.62  Current number of equations to process: 131
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 116
% 1.19/1.62  New rule produced :
% 1.19/1.62  [125] domain(multiplication(A,c(B))) -> forward_diamond(A,antidomain(B))
% 1.19/1.62  Current number of equations to process: 131
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 117
% 1.19/1.62  Rule [34] forward_diamond(zero,A) -> domain(zero) is composed into [34]
% 1.19/1.62                                                                     forward_diamond(zero,A)
% 1.19/1.62                                                                     -> 
% 1.19/1.62                                                                     c(one)
% 1.19/1.62  New rule produced : [126] domain(zero) -> c(one)
% 1.19/1.62  Current number of equations to process: 133
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 118
% 1.19/1.62  New rule produced : [127] backward_box(zero,A) -> c(codomain(zero))
% 1.19/1.62  Current number of equations to process: 133
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 119
% 1.19/1.62  New rule produced :
% 1.19/1.62  [128] multiplication(codomain(A),codomain(coantidomain(A))) -> zero
% 1.19/1.62  Current number of equations to process: 136
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 120
% 1.19/1.62  New rule produced :
% 1.19/1.62  [129] codomain(codomain(A)) addition codomain(coantidomain(A)) -> one
% 1.19/1.62  Current number of equations to process: 135
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 121
% 1.19/1.62  New rule produced :
% 1.19/1.62  [130]
% 1.19/1.62  codomain(coantidomain(multiplication(codomain(B),A))) ->
% 1.19/1.62  coantidomain(backward_diamond(A,B))
% 1.19/1.62  Current number of equations to process: 134
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 122
% 1.19/1.62  New rule produced : [131] multiplication(domain(domain(A)),c(A)) -> zero
% 1.19/1.62  Current number of equations to process: 135
% 1.19/1.62  Current number of ordered equations: 0
% 1.19/1.62  Current number of rules: 123
% 1.19/1.62  New rule produced :
% 1.19/1.62  [132]
% 1.19/1.62  domain(domain(backward_diamond(A,c(B)))) -> antidomain(backward_box(A,B))
% 1.19/1.62  Current number of equations to process: 134
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 124
% 1.47/1.71  New rule produced : [133] domain(domain(domain(A))) -> c(c(A))
% 1.47/1.71  Current number of equations to process: 135
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 125
% 1.47/1.71  New rule produced : [134] backward_box(one,A) -> c(codomain(codomain(c(A))))
% 1.47/1.71  Current number of equations to process: 134
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 126
% 1.47/1.71  New rule produced : [135] one addition forward_diamond(A,B) -> one
% 1.47/1.71  Current number of equations to process: 135
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 127
% 1.47/1.71  New rule produced : [136] multiplication(A,domain(B)) addition A -> A
% 1.47/1.71  Current number of equations to process: 137
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 128
% 1.47/1.71  New rule produced : [137] multiplication(domain(B),A) addition A -> A
% 1.47/1.71  Current number of equations to process: 139
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 129
% 1.47/1.71  New rule produced : [138] leq(domain(A),one) -> true
% 1.47/1.71  Current number of equations to process: 146
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 130
% 1.47/1.71  New rule produced : [139] leq(domain(A),one addition B) -> true
% 1.47/1.71  Current number of equations to process: 145
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 131
% 1.47/1.71  New rule produced : [140] one addition c(A) -> one
% 1.47/1.71  Current number of equations to process: 151
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 132
% 1.47/1.71  New rule produced : [141] multiplication(A,antidomain(B)) addition A -> A
% 1.47/1.71  Current number of equations to process: 153
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 133
% 1.47/1.71  New rule produced : [142] multiplication(antidomain(B),A) addition A -> A
% 1.47/1.71  Current number of equations to process: 155
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 134
% 1.47/1.71  New rule produced : [143] leq(antidomain(A),one) -> true
% 1.47/1.71  Current number of equations to process: 162
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 135
% 1.47/1.71  New rule produced : [144] leq(antidomain(A),one addition B) -> true
% 1.47/1.71  Current number of equations to process: 161
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 136
% 1.47/1.71  New rule produced : [145] one addition backward_diamond(A,B) -> one
% 1.47/1.71  Current number of equations to process: 167
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 137
% 1.47/1.71  New rule produced : [146] multiplication(A,codomain(B)) addition A -> A
% 1.47/1.71  Current number of equations to process: 169
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 138
% 1.47/1.71  New rule produced : [147] multiplication(codomain(B),A) addition A -> A
% 1.47/1.71  Current number of equations to process: 171
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 139
% 1.47/1.71  New rule produced : [148] leq(codomain(A),one) -> true
% 1.47/1.71  Current number of equations to process: 178
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 140
% 1.47/1.71  New rule produced : [149] leq(codomain(A),one addition B) -> true
% 1.47/1.71  Current number of equations to process: 177
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 141
% 1.47/1.71  New rule produced : [150] multiplication(A,coantidomain(B)) addition A -> A
% 1.47/1.71  Current number of equations to process: 184
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 142
% 1.47/1.71  New rule produced : [151] multiplication(coantidomain(B),A) addition A -> A
% 1.47/1.71  Current number of equations to process: 186
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 143
% 1.47/1.71  New rule produced : [152] leq(coantidomain(A),one) -> true
% 1.47/1.71  Current number of equations to process: 193
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 144
% 1.47/1.71  New rule produced : [153] leq(coantidomain(A),one addition B) -> true
% 1.47/1.71  Current number of equations to process: 192
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 145
% 1.47/1.71  New rule produced :
% 1.47/1.71  [154] multiplication(multiplication(A,coantidomain(B)),codomain(B)) -> zero
% 1.47/1.71  Current number of equations to process: 200
% 1.47/1.71  Current number of ordered equations: 0
% 1.47/1.71  Current number of rules: 146
% 1.47/1.71  New rule produced :
% 1.47/1.71  [155] multiplication(coantidomain(A),multiplication(codomain(A),B)) -> zero
% 1.47/1.74  Current number of equations to process: 199
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 147
% 1.47/1.74  New rule produced :
% 1.47/1.74  [156] ifeq2(one,domain(A),leq(one,domain(A)),true) -> true
% 1.47/1.74  Current number of equations to process: 198
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 148
% 1.47/1.74  New rule produced :
% 1.47/1.74  [157] ifeq2(one,antidomain(A),leq(one,antidomain(A)),true) -> true
% 1.47/1.74  Current number of equations to process: 197
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 149
% 1.47/1.74  New rule produced :
% 1.47/1.74  [158] ifeq2(one,codomain(A),leq(one,codomain(A)),true) -> true
% 1.47/1.74  Current number of equations to process: 196
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 150
% 1.47/1.74  New rule produced :
% 1.47/1.74  [159] ifeq2(one,coantidomain(A),leq(one,coantidomain(A)),true) -> true
% 1.47/1.74  Current number of equations to process: 195
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 151
% 1.47/1.74  New rule produced :
% 1.47/1.74  [160]
% 1.47/1.74  multiplication(coantidomain(multiplication(codomain(A),B)),backward_diamond(B,A))
% 1.47/1.74  -> zero
% 1.47/1.74  Current number of equations to process: 194
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 152
% 1.47/1.74  New rule produced :
% 1.47/1.74  [161]
% 1.47/1.74  coantidomain(multiplication(codomain(coantidomain(A)),codomain(A))) -> one
% 1.47/1.74  Current number of equations to process: 195
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 153
% 1.47/1.74  New rule produced :
% 1.47/1.74  [162] antidomain(multiplication(coantidomain(A),domain(codomain(A)))) -> one
% 1.47/1.74  Current number of equations to process: 200
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 154
% 1.47/1.74  New rule produced :
% 1.47/1.74  [163] multiplication(codomain(coantidomain(A)),codomain(codomain(A))) -> zero
% 1.47/1.74  Current number of equations to process: 199
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 155
% 1.47/1.74  New rule produced :
% 1.47/1.74  [164] multiplication(multiplication(A,domain(B)),antidomain(B)) -> zero
% 1.47/1.74  Current number of equations to process: 198
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 156
% 1.47/1.74  New rule produced :
% 1.47/1.74  [165] multiplication(domain(A),multiplication(antidomain(A),B)) -> zero
% 1.47/1.74  Current number of equations to process: 197
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 157
% 1.47/1.74  New rule produced :
% 1.47/1.74  [166]
% 1.47/1.74  multiplication(forward_diamond(A,B),antidomain(multiplication(A,domain(B))))
% 1.47/1.74  -> zero
% 1.47/1.74  Current number of equations to process: 196
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 158
% 1.47/1.74  New rule produced :
% 1.47/1.74  [167] coantidomain(multiplication(codomain(domain(A)),antidomain(A))) -> one
% 1.47/1.74  Current number of equations to process: 197
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 159
% 1.47/1.74  New rule produced : [168] forward_diamond(c(A),A) -> c(one)
% 1.47/1.74  Current number of equations to process: 198
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 160
% 1.47/1.74  New rule produced :
% 1.47/1.74  [169] multiplication(multiplication(A,c(B)),domain(B)) -> zero
% 1.47/1.74  Current number of equations to process: 199
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 161
% 1.47/1.74  New rule produced :
% 1.47/1.74  [170] multiplication(c(A),multiplication(domain(A),B)) -> zero
% 1.47/1.74  Current number of equations to process: 198
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 162
% 1.47/1.74  New rule produced :
% 1.47/1.74  [171]
% 1.47/1.74  multiplication(backward_box(A,B),domain(backward_diamond(A,c(B)))) -> zero
% 1.47/1.74  Current number of equations to process: 197
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 163
% 1.47/1.74  New rule produced :
% 1.47/1.74  [172] coantidomain(multiplication(codomain(c(A)),domain(A))) -> one
% 1.47/1.74  Current number of equations to process: 198
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 164
% 1.47/1.74  New rule produced :
% 1.47/1.74  [173]
% 1.47/1.74  backward_diamond(codomain(codomain(A)),coantidomain(A)) -> codomain(zero)
% 1.47/1.74  Current number of equations to process: 201
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 165
% 1.47/1.74  New rule produced :
% 1.47/1.74  [174] antidomain(multiplication(c(A),domain(domain(A)))) -> one
% 1.47/1.74  Current number of equations to process: 200
% 1.47/1.74  Current number of ordered equations: 0
% 1.47/1.74  Current number of rules: 166
% 1.47/1.74  New rule produced :
% 1.47/1.74  [175] backward_box(codomain(coantidomain(c(A))),A) -> c(codomain(zero))
% 1.58/1.84  Current number of equations to process: 199
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 167
% 1.58/1.84  New rule produced :
% 1.58/1.84  [176] backward_diamond(codomain(zero),one) -> codomain(zero)
% 1.58/1.84  Current number of equations to process: 199
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 168
% 1.58/1.84  New rule produced :
% 1.58/1.84  [177]
% 1.58/1.84  backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) ->
% 1.58/1.84  codomain(zero)
% 1.58/1.84  Current number of equations to process: 225
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 169
% 1.58/1.84  New rule produced :
% 1.58/1.84  [178] forward_diamond(A,B) addition antidomain(forward_diamond(A,B)) -> one
% 1.58/1.84  Current number of equations to process: 224
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 170
% 1.58/1.84  New rule produced :
% 1.58/1.84  [179] backward_box(A,B) addition domain(backward_diamond(A,c(B))) -> one
% 1.58/1.84  Current number of equations to process: 223
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 171
% 1.58/1.84  New rule produced :
% 1.58/1.84  [180] multiplication(A,c(B)) addition multiplication(A,domain(B)) -> A
% 1.58/1.84  Current number of equations to process: 222
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 172
% 1.58/1.84  New rule produced :
% 1.58/1.84  [181] multiplication(c(B),A) addition multiplication(domain(B),A) -> A
% 1.58/1.84  Current number of equations to process: 221
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 173
% 1.58/1.84  New rule produced :
% 1.58/1.84  [182] ifeq(leq(one,domain(A)),true,one,domain(A)) -> domain(A)
% 1.58/1.84  Current number of equations to process: 220
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 174
% 1.58/1.84  New rule produced :
% 1.58/1.84  [183] ifeq(leq(one,antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 1.58/1.84  Current number of equations to process: 219
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 175
% 1.58/1.84  New rule produced :
% 1.58/1.84  [184] ifeq(leq(one,codomain(A)),true,one,codomain(A)) -> codomain(A)
% 1.58/1.84  Current number of equations to process: 218
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 176
% 1.58/1.84  New rule produced :
% 1.58/1.84  [185]
% 1.58/1.84  ifeq(leq(one,coantidomain(A)),true,one,coantidomain(A)) -> coantidomain(A)
% 1.58/1.84  Current number of equations to process: 217
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 177
% 1.58/1.84  New rule produced :
% 1.58/1.84  [186] backward_box(A,B) addition antidomain(backward_box(A,B)) -> one
% 1.58/1.84  Current number of equations to process: 240
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 178
% 1.58/1.84  New rule produced :
% 1.58/1.84  [187]
% 1.58/1.84  backward_diamond(A,B) addition coantidomain(backward_diamond(A,B)) -> one
% 1.58/1.84  Current number of equations to process: 263
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 179
% 1.58/1.84  New rule produced : [188] c(zero) -> one
% 1.58/1.84  Current number of equations to process: 265
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 180
% 1.58/1.84  New rule produced :
% 1.58/1.84  [189]
% 1.58/1.84  codomain(codomain(coantidomain(A))) addition codomain(codomain(A)) -> one
% 1.58/1.84  Current number of equations to process: 268
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 181
% 1.58/1.84  New rule produced :
% 1.58/1.84  [190]
% 1.58/1.84  c(backward_diamond(A,antidomain(forward_diamond(B,C)))) <->
% 1.58/1.84  backward_box(A,multiplication(B,domain(C)))
% 1.58/1.84  Current number of equations to process: 267
% 1.58/1.84  Current number of ordered equations: 1
% 1.58/1.84  Current number of rules: 182
% 1.58/1.84  New rule produced :
% 1.58/1.84  [191]
% 1.58/1.84  backward_box(A,multiplication(B,domain(C))) <->
% 1.58/1.84  c(backward_diamond(A,antidomain(forward_diamond(B,C))))
% 1.58/1.84  Current number of equations to process: 267
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 183
% 1.58/1.84  New rule produced :
% 1.58/1.84  [192]
% 1.58/1.84  c(multiplication(A,forward_diamond(B,C))) ->
% 1.58/1.84  antidomain(forward_diamond(A,multiplication(B,domain(C))))
% 1.58/1.84  Current number of equations to process: 266
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 184
% 1.58/1.84  New rule produced :
% 1.58/1.84  [193]
% 1.58/1.84  c(multiplication(A,multiplication(B,domain(C)))) ->
% 1.58/1.84  antidomain(forward_diamond(multiplication(A,B),C))
% 1.58/1.84  Current number of equations to process: 265
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 185
% 1.58/1.84  New rule produced :
% 1.58/1.84  [194]
% 1.58/1.84  c(multiplication(A,c(B))) -> antidomain(forward_diamond(A,antidomain(B)))
% 1.58/1.84  Current number of equations to process: 265
% 1.58/1.84  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 186
% 1.68/1.91  New rule produced :
% 1.68/1.91  [195] leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),one) -> true
% 1.68/1.91  Current number of equations to process: 278
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 187
% 1.68/1.91  New rule produced :
% 1.68/1.91  [196]
% 1.68/1.91  multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))) addition A
% 1.68/1.91  -> A
% 1.68/1.91  Current number of equations to process: 284
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 188
% 1.68/1.91  New rule produced :
% 1.68/1.91  [197]
% 1.68/1.91  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A) addition A
% 1.68/1.91  -> A
% 1.68/1.91  Current number of equations to process: 283
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 189
% 1.68/1.91  New rule produced :
% 1.68/1.91  [198]
% 1.68/1.91  leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),one addition A) -> true
% 1.68/1.91  Current number of equations to process: 282
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 190
% 1.68/1.91  New rule produced :
% 1.68/1.91  [199]
% 1.68/1.91  multiplication(multiplication(A,B),multiplication(coantidomain(B),C)) -> zero
% 1.68/1.91  Current number of equations to process: 284
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 191
% 1.68/1.91  New rule produced :
% 1.68/1.91  [200]
% 1.68/1.91  coantidomain(multiplication(codomain(multiplication(A,B)),coantidomain(B)))
% 1.68/1.91  -> one
% 1.68/1.91  Current number of equations to process: 285
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 192
% 1.68/1.91  New rule produced :
% 1.68/1.91  [201]
% 1.68/1.91  antidomain(multiplication(multiplication(A,B),domain(coantidomain(B)))) ->
% 1.68/1.91  one
% 1.68/1.91  Current number of equations to process: 289
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 193
% 1.68/1.91  New rule produced :
% 1.68/1.91  [202]
% 1.68/1.91  multiplication(multiplication(A,codomain(B)),codomain(coantidomain(B))) ->
% 1.68/1.91  zero
% 1.68/1.91  Current number of equations to process: 288
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 194
% 1.68/1.91  New rule produced :
% 1.68/1.91  [203]
% 1.68/1.91  multiplication(multiplication(A,antidomain(B)),multiplication(B,C)) -> zero
% 1.68/1.91  Current number of equations to process: 287
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 195
% 1.68/1.91  New rule produced :
% 1.68/1.91  [204]
% 1.68/1.91  coantidomain(multiplication(codomain(multiplication(A,antidomain(B))),B)) ->
% 1.68/1.91  one
% 1.68/1.91  Current number of equations to process: 288
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 196
% 1.68/1.91  New rule produced :
% 1.68/1.91  [205]
% 1.68/1.91  antidomain(multiplication(multiplication(A,antidomain(B)),domain(B))) -> one
% 1.68/1.91  Current number of equations to process: 291
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 197
% 1.68/1.91  New rule produced :
% 1.68/1.91  [206] multiplication(multiplication(A,domain(domain(B))),c(B)) -> zero
% 1.68/1.91  Current number of equations to process: 290
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 198
% 1.68/1.91  New rule produced :
% 1.68/1.91  [207]
% 1.68/1.91  coantidomain(multiplication(codomain(A),multiplication(coantidomain(A),B)))
% 1.68/1.91  -> one
% 1.68/1.91  Current number of equations to process: 291
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 199
% 1.68/1.91  New rule produced :
% 1.68/1.91  [208]
% 1.68/1.91  antidomain(multiplication(A,domain(multiplication(coantidomain(A),B)))) ->
% 1.68/1.91  one
% 1.68/1.91  Current number of equations to process: 295
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 200
% 1.68/1.91  New rule produced :
% 1.68/1.91  [209]
% 1.68/1.91  multiplication(codomain(A),multiplication(codomain(coantidomain(A)),B)) ->
% 1.68/1.91  zero
% 1.68/1.91  Current number of equations to process: 294
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 201
% 1.68/1.91  New rule produced :
% 1.68/1.91  [210]
% 1.68/1.91  coantidomain(multiplication(codomain(antidomain(A)),multiplication(A,B))) ->
% 1.68/1.91  one
% 1.68/1.91  Current number of equations to process: 295
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 202
% 1.68/1.91  New rule produced :
% 1.68/1.91  [211]
% 1.68/1.91  antidomain(multiplication(antidomain(A),domain(multiplication(A,B)))) -> one
% 1.68/1.91  Current number of equations to process: 297
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 203
% 1.68/1.91  New rule produced :
% 1.68/1.91  [212] multiplication(domain(domain(A)),multiplication(c(A),B)) -> zero
% 1.68/1.91  Current number of equations to process: 296
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 204
% 1.68/1.91  New rule produced :
% 1.68/1.91  [213] coantidomain(multiplication(codomain(zero),A)) -> one
% 1.68/1.91  Current number of equations to process: 296
% 1.68/1.91  Current number of ordered equations: 0
% 1.68/1.91  Current number of rules: 205
% 1.68/1.98  New rule produced : [214] antidomain(multiplication(A,c(one))) -> one
% 1.68/1.98  Current number of equations to process: 295
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 206
% 1.68/1.98  New rule produced :
% 1.68/1.98  [215] ifeq2(one,domain(A),leq(c(A),domain(A)),true) -> true
% 1.68/1.98  Current number of equations to process: 287
% 1.68/1.98  Current number of ordered equations: 1
% 1.68/1.98  Current number of rules: 207
% 1.68/1.98  New rule produced : [216] ifeq2(one,c(A),leq(domain(A),c(A)),true) -> true
% 1.68/1.98  Current number of equations to process: 287
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 208
% 1.68/1.98  New rule produced :
% 1.68/1.98  [217]
% 1.68/1.98  multiplication(A,c(B)) addition multiplication(A,domain(domain(B))) -> A
% 1.68/1.98  Current number of equations to process: 286
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 209
% 1.68/1.98  New rule produced :
% 1.68/1.98  [218]
% 1.68/1.98  multiplication(c(B),A) addition multiplication(domain(domain(B)),A) -> A
% 1.68/1.98  Current number of equations to process: 285
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 210
% 1.68/1.98  New rule produced :
% 1.68/1.98  [219]
% 1.68/1.98  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 1.68/1.98                                                       codomain(B)) -> A
% 1.68/1.98  Current number of equations to process: 284
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 211
% 1.68/1.98  New rule produced :
% 1.68/1.98  [220]
% 1.68/1.98  multiplication(codomain(coantidomain(B)),A) addition multiplication(codomain(B),A)
% 1.68/1.98  -> A
% 1.68/1.98  Current number of equations to process: 283
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 212
% 1.68/1.98  New rule produced :
% 1.68/1.98  [221]
% 1.68/1.98  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C)))
% 1.68/1.98  -> zero
% 1.68/1.98  Current number of equations to process: 282
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 213
% 1.68/1.98  New rule produced :
% 1.68/1.98  [222]
% 1.68/1.98  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 1.68/1.98  -> zero
% 1.68/1.98  Current number of equations to process: 281
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 214
% 1.68/1.98  New rule produced : [223] ifeq(leq(domain(A),c(A)),true,one,c(A)) -> c(A)
% 1.68/1.98  Current number of equations to process: 279
% 1.68/1.98  Current number of ordered equations: 1
% 1.68/1.98  Current number of rules: 215
% 1.68/1.98  New rule produced :
% 1.68/1.98  [224] ifeq(leq(c(A),domain(A)),true,one,domain(A)) -> domain(A)
% 1.68/1.98  Current number of equations to process: 279
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 216
% 1.68/1.98  New rule produced :
% 1.68/1.98  [225]
% 1.68/1.98  domain(domain(backward_diamond(A,backward_box(B,C)))) <->
% 1.68/1.98  antidomain(backward_box(A,backward_diamond(B,c(C))))
% 1.68/1.98  Current number of equations to process: 285
% 1.68/1.98  Current number of ordered equations: 1
% 1.68/1.98  Current number of rules: 217
% 1.68/1.98  New rule produced :
% 1.68/1.98  [226]
% 1.68/1.98  antidomain(backward_box(A,backward_diamond(B,c(C)))) <->
% 1.68/1.98  domain(domain(backward_diamond(A,backward_box(B,C))))
% 1.68/1.98  Current number of equations to process: 285
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 218
% 1.68/1.98  New rule produced :
% 1.68/1.98  [227]
% 1.68/1.98  backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 1.68/1.98  -> codomain(zero)
% 1.68/1.98  Current number of equations to process: 291
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 219
% 1.68/1.98  New rule produced :
% 1.68/1.98  [228]
% 1.68/1.98  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,domain(B)))
% 1.68/1.98  -> c(one)
% 1.68/1.98  Current number of equations to process: 302
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 220
% 1.68/1.98  New rule produced :
% 1.68/1.98  [229]
% 1.68/1.98  codomain(coantidomain(multiplication(backward_diamond(C,B),A))) ->
% 1.68/1.98  coantidomain(backward_diamond(A,multiplication(codomain(B),C)))
% 1.68/1.98  Current number of equations to process: 301
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 221
% 1.68/1.98  New rule produced : [230] leq(domain(A) addition B,one addition B) -> true
% 1.68/1.98  Current number of equations to process: 315
% 1.68/1.98  Current number of ordered equations: 1
% 1.68/1.98  Current number of rules: 222
% 1.68/1.98  New rule produced :
% 1.68/1.98  [231] leq(antidomain(A) addition B,one addition B) -> true
% 1.68/1.98  Current number of equations to process: 315
% 1.68/1.98  Current number of ordered equations: 0
% 1.68/1.98  Current number of rules: 223
% 1.68/1.98  New rule produced : [232] leq(codomain(A) addition B,one addition B) -> true
% 1.68/1.98  Current number of equations to process: 313
% 1.68/1.98  Current number of ordered equations: 1
% 1.88/2.12  Current number of rules: 224
% 1.88/2.12  New rule produced :
% 1.88/2.12  [233] leq(coantidomain(A) addition B,one addition B) -> true
% 1.88/2.12  Current number of equations to process: 313
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 225
% 1.88/2.12  New rule produced : [234] leq(c(A),one) -> true
% 1.88/2.12  Current number of equations to process: 324
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 226
% 1.88/2.12  New rule produced : [235] leq(c(A),one addition B) -> true
% 1.88/2.12  Current number of equations to process: 327
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 227
% 1.88/2.12  New rule produced : [236] leq(c(A) addition B,one addition B) -> true
% 1.88/2.12  Current number of equations to process: 326
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 228
% 1.88/2.12  New rule produced :
% 1.88/2.12  [237] leq(domain(A) addition B,one addition B addition C) -> true
% 1.88/2.12  Current number of equations to process: 324
% 1.88/2.12  Current number of ordered equations: 1
% 1.88/2.12  Current number of rules: 229
% 1.88/2.12  New rule produced :
% 1.88/2.12  [238] leq(antidomain(A) addition B,one addition B addition C) -> true
% 1.88/2.12  Current number of equations to process: 324
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 230
% 1.88/2.12  New rule produced :
% 1.88/2.12  [239] leq(codomain(A) addition B,one addition B addition C) -> true
% 1.88/2.12  Current number of equations to process: 322
% 1.88/2.12  Current number of ordered equations: 1
% 1.88/2.12  Current number of rules: 231
% 1.88/2.12  New rule produced :
% 1.88/2.12  [240] leq(coantidomain(A) addition B,one addition B addition C) -> true
% 1.88/2.12  Current number of equations to process: 322
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 232
% 1.88/2.12  New rule produced :
% 1.88/2.12  [241]
% 1.88/2.12  leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)) addition A,one addition A)
% 1.88/2.12  -> true
% 1.88/2.12  Current number of equations to process: 320
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 233
% 1.88/2.12  New rule produced :
% 1.88/2.12  [242] leq(c(A) addition B,one addition B addition C) -> true
% 1.88/2.12  Current number of equations to process: 314
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 234
% 1.88/2.12  New rule produced :
% 1.88/2.12  [243] ifeq2(one,c(A),leq(domain(domain(A)),c(A)),true) -> true
% 1.88/2.12  Current number of equations to process: 337
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 235
% 1.88/2.12  New rule produced :
% 1.88/2.12  [244]
% 1.88/2.12  ifeq2(one,codomain(A),leq(codomain(coantidomain(A)),codomain(A)),true) ->
% 1.88/2.12  true
% 1.88/2.12  Current number of equations to process: 335
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 236
% 1.88/2.12  New rule produced :
% 1.88/2.12  [245]
% 1.88/2.12  backward_box(codomain(coantidomain(backward_box(A,B))),backward_diamond(A,
% 1.88/2.12                                                         c(B))) ->
% 1.88/2.12  c(codomain(zero))
% 1.88/2.12  Current number of equations to process: 325
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 237
% 1.88/2.12  New rule produced : [246] leq(forward_diamond(A,B),one) -> true
% 1.88/2.12  Current number of equations to process: 332
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 238
% 1.88/2.12  New rule produced : [247] leq(forward_diamond(A,B),one addition C) -> true
% 1.88/2.12  Current number of equations to process: 331
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 239
% 1.88/2.12  New rule produced :
% 1.88/2.12  [248] leq(forward_diamond(A,B) addition C,one addition C) -> true
% 1.88/2.12  Current number of equations to process: 358
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 240
% 1.88/2.12  New rule produced :
% 1.88/2.12  [249]
% 1.88/2.12  forward_diamond(A,B) addition antidomain(multiplication(A,domain(domain(B))))
% 1.88/2.12  -> one
% 1.88/2.12  Current number of equations to process: 357
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 241
% 1.88/2.12  New rule produced :
% 1.88/2.12  [250]
% 1.88/2.12  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,c(B)))
% 1.88/2.12  -> one
% 1.88/2.12  Current number of equations to process: 356
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 242
% 1.88/2.12  New rule produced :
% 1.88/2.12  [251] leq(forward_diamond(A,B) addition C,one addition C addition X0) -> true
% 1.88/2.12  Current number of equations to process: 355
% 1.88/2.12  Current number of ordered equations: 0
% 1.88/2.12  Current number of rules: 243
% 1.88/2.12  New rule produced :
% 1.88/2.12  [252]
% 1.88/2.12  backward_diamond(A,B) addition coantidomain(multiplication(codomain(codomain(B)),A))
% 1.88/2.12  -> one
% 1.88/2.12  Current number of equations to process: 356
% 1.88/2.12  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 244
% 1.98/2.28  New rule produced : [253] leq(backward_diamond(A,B),one) -> true
% 1.98/2.28  Current number of equations to process: 361
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 245
% 1.98/2.28  New rule produced : [254] leq(backward_diamond(A,B),one addition C) -> true
% 1.98/2.28  Current number of equations to process: 360
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 246
% 1.98/2.28  New rule produced :
% 1.98/2.28  [255] leq(backward_diamond(A,B) addition C,one addition C) -> true
% 1.98/2.28  Current number of equations to process: 368
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 247
% 1.98/2.28  New rule produced :
% 1.98/2.28  [256]
% 1.98/2.28  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 1.98/2.28  -> codomain(zero)
% 1.98/2.28  Current number of equations to process: 367
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 248
% 1.98/2.28  New rule produced :
% 1.98/2.28  [257]
% 1.98/2.28  leq(backward_diamond(A,B) addition C,one addition C addition X0) -> true
% 1.98/2.28  Current number of equations to process: 366
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 249
% 1.98/2.28  New rule produced :
% 1.98/2.28  [258]
% 1.98/2.28  forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 1.98/2.28  -> c(one)
% 1.98/2.28  Current number of equations to process: 384
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 250
% 1.98/2.28  New rule produced :
% 1.98/2.28  [259]
% 1.98/2.28  codomain(coantidomain(multiplication(multiplication(codomain(C),A),B))) ->
% 1.98/2.28  coantidomain(backward_diamond(multiplication(A,B),C))
% 1.98/2.28  Current number of equations to process: 383
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 251
% 1.98/2.28  New rule produced : [260] forward_diamond(multiplication(A,c(B)),B) -> c(one)
% 1.98/2.28  Current number of equations to process: 387
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 252
% 1.98/2.28  New rule produced :
% 1.98/2.28  [261]
% 1.98/2.28  domain(multiplication(A,multiplication(B,c(C)))) ->
% 1.98/2.28  forward_diamond(multiplication(A,B),antidomain(C))
% 1.98/2.28  Current number of equations to process: 418
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 253
% 1.98/2.28  New rule produced : [262] multiplication(domain(A),domain(A)) -> domain(A)
% 1.98/2.28  Current number of equations to process: 419
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 254
% 1.98/2.28  New rule produced : [263] multiplication(c(A),antidomain(A)) -> c(A)
% 1.98/2.28  Current number of equations to process: 420
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 255
% 1.98/2.28  New rule produced : [264] leq(multiplication(A,domain(B)),A) -> true
% 1.98/2.28  Current number of equations to process: 426
% 1.98/2.28  Current number of ordered equations: 1
% 1.98/2.28  Current number of rules: 256
% 1.98/2.28  New rule produced : [265] leq(multiplication(A,antidomain(B)),A) -> true
% 1.98/2.28  Current number of equations to process: 426
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 257
% 1.98/2.28  New rule produced :
% 1.98/2.28  [266] leq(multiplication(A,domain(B)),A addition C) -> true
% 1.98/2.28  Current number of equations to process: 424
% 1.98/2.28  Current number of ordered equations: 1
% 1.98/2.28  Current number of rules: 258
% 1.98/2.28  New rule produced :
% 1.98/2.28  [267] leq(multiplication(A,antidomain(B)),A addition C) -> true
% 1.98/2.28  Current number of equations to process: 424
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 259
% 1.98/2.28  New rule produced : [268] multiplication(A,codomain(A)) -> A
% 1.98/2.28  Current number of equations to process: 427
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 260
% 1.98/2.28  New rule produced :
% 1.98/2.28  [269]
% 1.98/2.28  multiplication(antidomain(codomain(A)),coantidomain(A)) ->
% 1.98/2.28  antidomain(codomain(A))
% 1.98/2.28  Current number of equations to process: 428
% 1.98/2.28  Current number of ordered equations: 1
% 1.98/2.28  Current number of rules: 261
% 1.98/2.28  New rule produced :
% 1.98/2.28  [270]
% 1.98/2.28  multiplication(antidomain(coantidomain(A)),codomain(A)) ->
% 1.98/2.28  antidomain(coantidomain(A))
% 1.98/2.28  Current number of equations to process: 428
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 262
% 1.98/2.28  New rule produced :
% 1.98/2.28  [271] leq(multiplication(A,domain(B)) addition C,A addition C) -> true
% 1.98/2.28  Current number of equations to process: 454
% 1.98/2.28  Current number of ordered equations: 1
% 1.98/2.28  Current number of rules: 263
% 1.98/2.28  New rule produced :
% 1.98/2.28  [272] leq(multiplication(A,antidomain(B)) addition C,A addition C) -> true
% 1.98/2.28  Current number of equations to process: 454
% 1.98/2.28  Current number of ordered equations: 0
% 1.98/2.28  Current number of rules: 264
% 2.16/2.40  New rule produced :
% 2.16/2.40  [273] multiplication(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 2.16/2.40  Current number of equations to process: 455
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 265
% 2.16/2.40  New rule produced :
% 2.16/2.40  [274] multiplication(multiplication(A,B),codomain(B)) -> multiplication(A,B)
% 2.16/2.40  Current number of equations to process: 456
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 266
% 2.16/2.40  New rule produced : [275] leq(multiplication(A,codomain(B)),A) -> true
% 2.16/2.40  Current number of equations to process: 467
% 2.16/2.40  Current number of ordered equations: 1
% 2.16/2.40  Current number of rules: 267
% 2.16/2.40  New rule produced : [276] leq(multiplication(A,coantidomain(B)),A) -> true
% 2.16/2.40  Current number of equations to process: 467
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 268
% 2.16/2.40  New rule produced :
% 2.16/2.40  [277] leq(multiplication(A,codomain(B)),A addition C) -> true
% 2.16/2.40  Current number of equations to process: 465
% 2.16/2.40  Current number of ordered equations: 1
% 2.16/2.40  Current number of rules: 269
% 2.16/2.40  New rule produced :
% 2.16/2.40  [278] leq(multiplication(A,coantidomain(B)),A addition C) -> true
% 2.16/2.40  Current number of equations to process: 465
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 270
% 2.16/2.40  New rule produced : [279] multiplication(domain(A),A) -> A
% 2.16/2.40  Current number of equations to process: 472
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 271
% 2.16/2.40  New rule produced :
% 2.16/2.40  [280]
% 2.16/2.40  multiplication(domain(A),coantidomain(antidomain(A))) ->
% 2.16/2.40  coantidomain(antidomain(A))
% 2.16/2.40  Current number of equations to process: 470
% 2.16/2.40  Current number of ordered equations: 1
% 2.16/2.40  Current number of rules: 272
% 2.16/2.40  New rule produced :
% 2.16/2.40  [281]
% 2.16/2.40  multiplication(antidomain(A),coantidomain(domain(A))) ->
% 2.16/2.40  coantidomain(domain(A))
% 2.16/2.40  Current number of equations to process: 470
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 273
% 2.16/2.40  New rule produced :
% 2.16/2.40  [282]
% 2.16/2.40  multiplication(multiplication(A,antidomain(codomain(B))),coantidomain(B)) ->
% 2.16/2.40  multiplication(A,antidomain(codomain(B)))
% 2.16/2.40  Current number of equations to process: 494
% 2.16/2.40  Current number of ordered equations: 1
% 2.16/2.40  Current number of rules: 274
% 2.16/2.40  New rule produced :
% 2.16/2.40  [283]
% 2.16/2.40  multiplication(multiplication(A,antidomain(coantidomain(B))),codomain(B)) ->
% 2.16/2.40  multiplication(A,antidomain(coantidomain(B)))
% 2.16/2.40  Current number of equations to process: 494
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 275
% 2.16/2.40  New rule produced :
% 2.16/2.40  [284] leq(multiplication(A,codomain(B)) addition C,A addition C) -> true
% 2.16/2.40  Current number of equations to process: 492
% 2.16/2.40  Current number of ordered equations: 1
% 2.16/2.40  Current number of rules: 276
% 2.16/2.40  New rule produced :
% 2.16/2.40  [285] leq(multiplication(A,coantidomain(B)) addition C,A addition C) -> true
% 2.16/2.40  Current number of equations to process: 492
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 277
% 2.16/2.40  New rule produced :
% 2.16/2.40  [286]
% 2.16/2.40  multiplication(A,codomain(codomain(B))) addition multiplication(A,codomain(
% 2.16/2.40                                                                    coantidomain(B)))
% 2.16/2.40  -> A
% 2.16/2.40  Current number of equations to process: 489
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 278
% 2.16/2.40  New rule produced :
% 2.16/2.40  [287] multiplication(antidomain(A),antidomain(A)) -> antidomain(A)
% 2.16/2.40  Current number of equations to process: 490
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 279
% 2.16/2.40  New rule produced :
% 2.16/2.40  [288] multiplication(domain(A),multiplication(A,B)) -> multiplication(A,B)
% 2.16/2.40  Current number of equations to process: 495
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 280
% 2.16/2.40  New rule produced : [289] leq(multiplication(antidomain(A),B),B) -> true
% 2.16/2.40  Current number of equations to process: 502
% 2.16/2.40  Current number of ordered equations: 1
% 2.16/2.40  Current number of rules: 281
% 2.16/2.40  New rule produced : [290] leq(multiplication(domain(A),B),B) -> true
% 2.16/2.40  Current number of equations to process: 502
% 2.16/2.40  Current number of ordered equations: 0
% 2.16/2.40  Current number of rules: 282
% 2.16/2.40  New rule produced :
% 2.16/2.40  [291] leq(multiplication(antidomain(A),B),B addition C) -> true
% 2.16/2.40  Current number of equations to process: 500
% 2.16/2.40  Current number of ordered equations: 1
% 2.16/2.40  Current number of rules: 283
% 2.16/2.40  New rule produced :
% 2.16/2.40  [292] leq(multiplication(domain(A),B),B addition C) -> true
% 2.16/2.40  Current number of equations to process: 500
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 284
% 2.28/2.53  New rule produced :
% 2.28/2.53  [293]
% 2.28/2.53  multiplication(domain(A),multiplication(coantidomain(antidomain(A)),B)) ->
% 2.28/2.53  multiplication(coantidomain(antidomain(A)),B)
% 2.28/2.53  Current number of equations to process: 544
% 2.28/2.53  Current number of ordered equations: 1
% 2.28/2.53  Current number of rules: 285
% 2.28/2.53  New rule produced :
% 2.28/2.53  [294]
% 2.28/2.53  multiplication(antidomain(A),multiplication(coantidomain(domain(A)),B)) ->
% 2.28/2.53  multiplication(coantidomain(domain(A)),B)
% 2.28/2.53  Current number of equations to process: 544
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 286
% 2.28/2.53  New rule produced :
% 2.28/2.53  [295] leq(multiplication(domain(A),B) addition C,B addition C) -> true
% 2.28/2.53  Current number of equations to process: 541
% 2.28/2.53  Current number of ordered equations: 1
% 2.28/2.53  Current number of rules: 287
% 2.28/2.53  New rule produced :
% 2.28/2.53  [296] leq(multiplication(antidomain(A),B) addition C,B addition C) -> true
% 2.28/2.53  Current number of equations to process: 541
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 288
% 2.28/2.53  New rule produced :
% 2.28/2.53  [297] multiplication(codomain(A),codomain(A)) -> codomain(A)
% 2.28/2.53  Current number of equations to process: 544
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 289
% 2.28/2.53  New rule produced : [298] leq(multiplication(codomain(A),B),B) -> true
% 2.28/2.53  Current number of equations to process: 551
% 2.28/2.53  Current number of ordered equations: 1
% 2.28/2.53  Current number of rules: 290
% 2.28/2.53  New rule produced : [299] leq(multiplication(coantidomain(A),B),B) -> true
% 2.28/2.53  Current number of equations to process: 551
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 291
% 2.28/2.53  New rule produced :
% 2.28/2.53  [300] leq(multiplication(codomain(A),B),B addition C) -> true
% 2.28/2.53  Current number of equations to process: 549
% 2.28/2.53  Current number of ordered equations: 1
% 2.28/2.53  Current number of rules: 292
% 2.28/2.53  New rule produced :
% 2.28/2.53  [301] leq(multiplication(coantidomain(A),B),B addition C) -> true
% 2.28/2.53  Current number of equations to process: 549
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 293
% 2.28/2.53  New rule produced :
% 2.28/2.53  [302] leq(multiplication(codomain(A),B) addition C,B addition C) -> true
% 2.28/2.53  Current number of equations to process: 578
% 2.28/2.53  Current number of ordered equations: 1
% 2.28/2.53  Current number of rules: 294
% 2.28/2.53  New rule produced :
% 2.28/2.53  [303] leq(multiplication(coantidomain(A),B) addition C,B addition C) -> true
% 2.28/2.53  Current number of equations to process: 578
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 295
% 2.28/2.53  New rule produced :
% 2.28/2.53  [304]
% 2.28/2.53  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C))))
% 2.28/2.53  -> zero
% 2.28/2.53  Current number of equations to process: 577
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 296
% 2.28/2.53  New rule produced :
% 2.28/2.53  [305]
% 2.28/2.53  multiplication(codomain(codomain(A)),B) addition multiplication(codomain(
% 2.28/2.53                                                                  coantidomain(A)),B)
% 2.28/2.53  -> B
% 2.28/2.53  Current number of equations to process: 576
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 297
% 2.28/2.53  New rule produced :
% 2.28/2.53  [306] coantidomain(multiplication(codomain(A),coantidomain(A))) -> one
% 2.28/2.53  Current number of equations to process: 575
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 298
% 2.28/2.53  New rule produced :
% 2.28/2.53  [307] coantidomain(multiplication(codomain(antidomain(A)),A)) -> one
% 2.28/2.53  Current number of equations to process: 574
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 299
% 2.28/2.53  New rule produced :
% 2.28/2.53  [308] antidomain(multiplication(A,domain(coantidomain(A)))) -> one
% 2.28/2.53  Current number of equations to process: 573
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 300
% 2.28/2.53  New rule produced :
% 2.28/2.53  [309] antidomain(multiplication(antidomain(A),domain(A))) -> one
% 2.28/2.53  Current number of equations to process: 572
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 301
% 2.28/2.53  New rule produced :
% 2.28/2.53  [310] ifeq(leq(domain(domain(A)),c(A)),true,one,c(A)) -> c(A)
% 2.28/2.53  Current number of equations to process: 571
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.53  Current number of rules: 302
% 2.28/2.53  New rule produced :
% 2.28/2.53  [311]
% 2.28/2.53  ifeq(leq(codomain(coantidomain(A)),codomain(A)),true,one,codomain(A)) ->
% 2.28/2.53  codomain(A)
% 2.28/2.53  Current number of equations to process: 570
% 2.28/2.53  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 303
% 2.28/2.58  New rule produced :
% 2.28/2.58  [312]
% 2.28/2.58  codomain(multiplication(multiplication(backward_diamond(A,B),C),X0)) ->
% 2.28/2.58  backward_diamond(multiplication(C,X0),multiplication(codomain(B),A))
% 2.28/2.58  Current number of equations to process: 569
% 2.28/2.58  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 304
% 2.28/2.58  New rule produced :
% 2.28/2.58  [313]
% 2.28/2.58  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 2.28/2.58  multiplication(codomain(B),A)) -> codomain(zero)
% 2.28/2.58  Current number of equations to process: 568
% 2.28/2.58  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 305
% 2.28/2.58  New rule produced :
% 2.28/2.58  [314]
% 2.28/2.58  domain(multiplication(A,multiplication(B,forward_diamond(C,X0)))) ->
% 2.28/2.58  forward_diamond(multiplication(A,B),multiplication(C,domain(X0)))
% 2.28/2.58  Current number of equations to process: 567
% 2.28/2.58  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 306
% 2.28/2.58  New rule produced :
% 2.28/2.58  [315]
% 2.28/2.58  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 2.28/2.58                                                                     domain(C)))
% 2.28/2.58  -> c(one)
% 2.28/2.58  Current number of equations to process: 566
% 2.28/2.58  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 307
% 2.28/2.58  New rule produced :
% 2.28/2.58  [316]
% 2.28/2.58  backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 2.28/2.58                                                                codomain(B),A)),C)),B)
% 2.28/2.58  -> codomain(zero)
% 2.28/2.58  Current number of equations to process: 564
% 2.28/2.58  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 308
% 2.28/2.58  New rule produced :
% 2.28/2.58  [317]
% 2.28/2.58  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 2.28/2.58                                                             domain(C)))),B),C)
% 2.28/2.58  -> c(one)
% 2.28/2.58  Current number of equations to process: 562
% 2.28/2.58  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 309
% 2.28/2.58  New rule produced :
% 2.28/2.58  [318]
% 2.28/2.58  domain(A) addition multiplication(antidomain(A),domain(B)) <->
% 2.28/2.58  domain(B) addition multiplication(domain(A),antidomain(B))
% 2.28/2.58  Current number of equations to process: 558
% 2.28/2.58  Current number of ordered equations: 5
% 2.28/2.58  Current number of rules: 310
% 2.28/2.58  New rule produced :
% 2.28/2.58  [319]
% 2.28/2.58  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 2.28/2.58  antidomain(B) addition multiplication(domain(A),domain(B))
% 2.28/2.58  Current number of equations to process: 558
% 2.28/2.58  Current number of ordered equations: 4
% 2.28/2.58  Current number of rules: 311
% 2.28/2.58  New rule produced :
% 2.28/2.58  [320]
% 2.28/2.58  antidomain(A) addition multiplication(domain(A),antidomain(B)) <->
% 2.28/2.58  antidomain(B) addition multiplication(antidomain(A),domain(B))
% 2.28/2.58  Current number of equations to process: 558
% 2.28/2.58  Current number of ordered equations: 3
% 2.28/2.58  Current number of rules: 312
% 2.28/2.58  New rule produced :
% 2.28/2.58  [321]
% 2.28/2.58  domain(B) addition multiplication(domain(A),antidomain(B)) <->
% 2.28/2.58  domain(A) addition multiplication(antidomain(A),domain(B))
% 2.28/2.58  Current number of equations to process: 558
% 2.28/2.58  Current number of ordered equations: 2
% 2.28/2.58  Current number of rules: 313
% 2.28/2.58  New rule produced :
% 2.28/2.58  [322]
% 2.28/2.58  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 2.28/2.58  antidomain(A) addition multiplication(domain(A),domain(B))
% 2.28/2.58  Current number of equations to process: 558
% 2.28/2.58  Current number of ordered equations: 1
% 2.28/2.58  Current number of rules: 314
% 2.28/2.58  New rule produced :
% 2.28/2.58  [323]
% 2.28/2.58  antidomain(B) addition multiplication(antidomain(A),domain(B)) <->
% 2.28/2.58  antidomain(A) addition multiplication(domain(A),antidomain(B))
% 2.28/2.58  Current number of equations to process: 558
% 2.28/2.58  Current number of ordered equations: 0
% 2.28/2.58  Current number of rules: 315
% 2.28/2.58  New rule produced :
% 2.28/2.58  [324]
% 2.28/2.58  domain(A) addition multiplication(antidomain(A),codomain(B)) <->
% 2.28/2.58  codomain(B) addition multiplication(domain(A),coantidomain(B))
% 2.28/2.58  Current number of equations to process: 554
% 2.28/2.58  Current number of ordered equations: 5
% 2.28/2.58  Current number of rules: 316
% 2.28/2.58  New rule produced :
% 2.28/2.58  [325]
% 2.28/2.58  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 2.28/2.58  coantidomain(B) addition multiplication(domain(A),codomain(B))
% 2.28/2.58  Current number of equations to process: 554
% 2.28/2.58  Current number of ordered equations: 4
% 2.28/2.58  Current number of rules: 317
% 2.28/2.58  New rule produced :
% 2.28/2.58  [326]
% 2.28/2.58  antidomain(A) addition multiplication(domain(A),coantidomain(B)) <->
% 2.28/2.58  coantidomain(B) addition multiplication(antidomain(A),codomain(B))
% 2.28/2.58  Current number of equations to process: 554
% 2.37/2.64  Current number of ordered equations: 3
% 2.37/2.64  Current number of rules: 318
% 2.37/2.64  New rule produced :
% 2.37/2.64  [327]
% 2.37/2.64  codomain(B) addition multiplication(domain(A),coantidomain(B)) <->
% 2.37/2.64  domain(A) addition multiplication(antidomain(A),codomain(B))
% 2.37/2.64  Current number of equations to process: 554
% 2.37/2.64  Current number of ordered equations: 2
% 2.37/2.64  Current number of rules: 319
% 2.37/2.64  New rule produced :
% 2.37/2.64  [328]
% 2.37/2.64  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 2.37/2.64  antidomain(A) addition multiplication(domain(A),codomain(B))
% 2.37/2.64  Current number of equations to process: 554
% 2.37/2.64  Current number of ordered equations: 1
% 2.37/2.64  Current number of rules: 320
% 2.37/2.64  New rule produced :
% 2.37/2.64  [329]
% 2.37/2.64  coantidomain(B) addition multiplication(antidomain(A),codomain(B)) <->
% 2.37/2.64  antidomain(A) addition multiplication(domain(A),coantidomain(B))
% 2.37/2.64  Current number of equations to process: 554
% 2.37/2.64  Current number of ordered equations: 0
% 2.37/2.64  Current number of rules: 321
% 2.37/2.64  New rule produced :
% 2.37/2.64  [330]
% 2.37/2.64  codomain(A) addition multiplication(coantidomain(A),domain(B)) <->
% 2.37/2.64  domain(B) addition multiplication(codomain(A),antidomain(B))
% 2.37/2.64  Current number of equations to process: 550
% 2.37/2.64  Current number of ordered equations: 5
% 2.37/2.64  Current number of rules: 322
% 2.37/2.64  New rule produced :
% 2.37/2.64  [331]
% 2.37/2.64  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 2.37/2.64  antidomain(B) addition multiplication(codomain(A),domain(B))
% 2.37/2.64  Current number of equations to process: 550
% 2.37/2.64  Current number of ordered equations: 4
% 2.37/2.64  Current number of rules: 323
% 2.37/2.64  New rule produced :
% 2.37/2.64  [332]
% 2.37/2.64  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) <->
% 2.37/2.64  antidomain(B) addition multiplication(coantidomain(A),domain(B))
% 2.37/2.64  Current number of equations to process: 550
% 2.37/2.64  Current number of ordered equations: 3
% 2.37/2.64  Current number of rules: 324
% 2.37/2.64  New rule produced :
% 2.37/2.64  [333]
% 2.37/2.64  domain(B) addition multiplication(codomain(A),antidomain(B)) <->
% 2.37/2.64  codomain(A) addition multiplication(coantidomain(A),domain(B))
% 2.37/2.64  Current number of equations to process: 550
% 2.37/2.64  Current number of ordered equations: 2
% 2.37/2.64  Current number of rules: 325
% 2.37/2.64  New rule produced :
% 2.37/2.64  [334]
% 2.37/2.64  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 2.37/2.64  coantidomain(A) addition multiplication(codomain(A),domain(B))
% 2.37/2.64  Current number of equations to process: 550
% 2.37/2.64  Current number of ordered equations: 1
% 2.37/2.64  Current number of rules: 326
% 2.37/2.64  New rule produced :
% 2.37/2.64  [335]
% 2.37/2.64  antidomain(B) addition multiplication(coantidomain(A),domain(B)) <->
% 2.37/2.64  coantidomain(A) addition multiplication(codomain(A),antidomain(B))
% 2.37/2.64  Current number of equations to process: 550
% 2.37/2.64  Current number of ordered equations: 0
% 2.37/2.64  Current number of rules: 327
% 2.37/2.64  New rule produced :
% 2.37/2.64  [336]
% 2.37/2.64  codomain(A) addition multiplication(coantidomain(A),codomain(B)) <->
% 2.37/2.64  codomain(B) addition multiplication(codomain(A),coantidomain(B))
% 2.37/2.64  Current number of equations to process: 546
% 2.37/2.64  Current number of ordered equations: 5
% 2.37/2.64  Current number of rules: 328
% 2.37/2.64  New rule produced :
% 2.37/2.64  [337]
% 2.37/2.64  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 2.37/2.64  coantidomain(B) addition multiplication(codomain(A),codomain(B))
% 2.37/2.64  Current number of equations to process: 546
% 2.37/2.64  Current number of ordered equations: 4
% 2.37/2.64  Current number of rules: 329
% 2.37/2.64  New rule produced :
% 2.37/2.64  [338]
% 2.37/2.64  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) <->
% 2.37/2.64  coantidomain(B) addition multiplication(coantidomain(A),codomain(B))
% 2.37/2.64  Current number of equations to process: 546
% 2.37/2.64  Current number of ordered equations: 3
% 2.37/2.64  Current number of rules: 330
% 2.37/2.64  New rule produced :
% 2.37/2.64  [339]
% 2.37/2.64  codomain(B) addition multiplication(codomain(A),coantidomain(B)) <->
% 2.37/2.64  codomain(A) addition multiplication(coantidomain(A),codomain(B))
% 2.37/2.64  Current number of equations to process: 546
% 2.37/2.64  Current number of ordered equations: 2
% 2.37/2.64  Current number of rules: 331
% 2.37/2.64  New rule produced :
% 2.37/2.64  [340]
% 2.37/2.64  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 2.37/2.64  coantidomain(A) addition multiplication(codomain(A),codomain(B))
% 2.37/2.64  Current number of equations to process: 546
% 2.37/2.64  Current number of ordered equations: 1
% 2.37/2.64  Current number of rules: 332
% 2.37/2.64  New rule produced :
% 2.37/2.64  [341]
% 2.37/2.64  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) <->
% 2.37/2.64  coantidomain(A) addition multiplication(codomain(A),coantidomain(B))
% 2.37/2.64  Current number of equations to process: 546
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 333
% 2.99/3.21  New rule produced :
% 2.99/3.21  [342]
% 2.99/3.21  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(B),C))
% 2.99/3.21  -> zero
% 2.99/3.21  Current number of equations to process: 562
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 334
% 2.99/3.21  New rule produced :
% 2.99/3.21  [343]
% 2.99/3.21  multiplication(multiplication(A,domain(B)),multiplication(antidomain(B),C))
% 2.99/3.21  -> zero
% 2.99/3.21  Current number of equations to process: 561
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 335
% 2.99/3.21  New rule produced :
% 2.99/3.21  [344]
% 2.99/3.21  multiplication(multiplication(A,c(B)),multiplication(domain(B),C)) -> zero
% 2.99/3.21  Current number of equations to process: 560
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 336
% 2.99/3.21  New rule produced :
% 2.99/3.21  [345]
% 2.99/3.21  multiplication(multiplication(A,multiplication(B,C)),multiplication(coantidomain(C),X0))
% 2.99/3.21  -> zero
% 2.99/3.21  Current number of equations to process: 583
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 337
% 2.99/3.21  New rule produced :
% 2.99/3.21  [346]
% 2.99/3.21  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(C,X0))
% 2.99/3.21  -> zero
% 2.99/3.21  Current number of equations to process: 582
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 338
% 2.99/3.21  New rule produced :
% 2.99/3.21  [347]
% 2.99/3.21  multiplication(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),X0))
% 2.99/3.21  -> zero
% 2.99/3.21  Current number of equations to process: 581
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 339
% 2.99/3.21  New rule produced :
% 2.99/3.21  [348]
% 2.99/3.21  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(B,C))
% 2.99/3.21  -> zero
% 2.99/3.21  Current number of equations to process: 579
% 2.99/3.21  Current number of ordered equations: 1
% 2.99/3.21  Current number of rules: 340
% 2.99/3.21  New rule produced :
% 2.99/3.21  [349]
% 2.99/3.21  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(B,C),X0))
% 2.99/3.21  -> zero
% 2.99/3.21  Current number of equations to process: 579
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 341
% 2.99/3.21  New rule produced :
% 2.99/3.21  [350]
% 2.99/3.21  multiplication(antidomain(backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 2.99/3.21  domain(sK2_goals_X1)) ->
% 2.99/3.21  antidomain(backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 2.99/3.21  Current number of equations to process: 1109
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 342
% 2.99/3.21  New rule produced :
% 2.99/3.21  [351] ifeq2(one addition A,one,leq(domain(B) addition A,one),true) -> true
% 2.99/3.21  Current number of equations to process: 1106
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 343
% 2.99/3.21  New rule produced :
% 2.99/3.21  [352] ifeq(leq(domain(A) addition B,one),true,one addition B,one) -> one
% 2.99/3.21  Current number of equations to process: 1105
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 344
% 2.99/3.21  New rule produced :
% 2.99/3.21  [353]
% 2.99/3.21  ifeq2(one addition A,one,leq(antidomain(B) addition A,one),true) -> true
% 2.99/3.21  Current number of equations to process: 1102
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 345
% 2.99/3.21  New rule produced :
% 2.99/3.21  [354] ifeq(leq(antidomain(A) addition B,one),true,one addition B,one) -> one
% 2.99/3.21  Current number of equations to process: 1101
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 346
% 2.99/3.21  New rule produced :
% 2.99/3.21  [355] ifeq2(one addition A,one,leq(codomain(B) addition A,one),true) -> true
% 2.99/3.21  Current number of equations to process: 1098
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 347
% 2.99/3.21  New rule produced :
% 2.99/3.21  [356] ifeq(leq(codomain(A) addition B,one),true,one addition B,one) -> one
% 2.99/3.21  Current number of equations to process: 1097
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 348
% 2.99/3.21  New rule produced :
% 2.99/3.21  [357]
% 2.99/3.21  ifeq2(one addition A,one,leq(coantidomain(B) addition A,one),true) -> true
% 2.99/3.21  Current number of equations to process: 1094
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 349
% 2.99/3.21  New rule produced :
% 2.99/3.21  [358]
% 2.99/3.21  ifeq(leq(coantidomain(A) addition B,one),true,one addition B,one) -> one
% 2.99/3.21  Current number of equations to process: 1093
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 350
% 2.99/3.21  New rule produced :
% 2.99/3.21  [359] ifeq2(one,domain(domain(A)),leq(c(A),domain(domain(A))),true) -> true
% 2.99/3.21  Current number of equations to process: 1091
% 2.99/3.21  Current number of ordered equations: 0
% 2.99/3.21  Current number of rules: 351
% 2.99/3.28  New rule produced :
% 2.99/3.28  [360]
% 2.99/3.28  ifeq2(one,codomain(coantidomain(A)),leq(codomain(A),codomain(coantidomain(A))),true)
% 2.99/3.28  -> true
% 2.99/3.28  Current number of equations to process: 1090
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 352
% 2.99/3.28  New rule produced :
% 2.99/3.28  [361]
% 2.99/3.28  c(backward_diamond(A,backward_box(B,backward_diamond(C,c(X0))))) <->
% 2.99/3.28  backward_box(A,backward_diamond(B,backward_box(C,X0)))
% 2.99/3.28  Current number of equations to process: 1089
% 2.99/3.28  Current number of ordered equations: 1
% 2.99/3.28  Current number of rules: 353
% 2.99/3.28  New rule produced :
% 2.99/3.28  [362]
% 2.99/3.28  backward_box(A,backward_diamond(B,backward_box(C,X0))) <->
% 2.99/3.28  c(backward_diamond(A,backward_box(B,backward_diamond(C,c(X0)))))
% 2.99/3.28  Current number of equations to process: 1089
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 354
% 2.99/3.28  New rule produced :
% 2.99/3.28  [363]
% 2.99/3.28  leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)) addition A,one addition A addition B)
% 2.99/3.28  -> true
% 2.99/3.28  Current number of equations to process: 1088
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 355
% 2.99/3.28  New rule produced :
% 2.99/3.28  [364]
% 2.99/3.28  codomain(multiplication(multiplication(multiplication(codomain(A),B),C),X0))
% 2.99/3.28  -> backward_diamond(multiplication(multiplication(B,C),X0),A)
% 2.99/3.28  Current number of equations to process: 1086
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 356
% 2.99/3.28  New rule produced :
% 2.99/3.28  [365]
% 2.99/3.28  domain(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 2.99/3.28  forward_diamond(multiplication(A,multiplication(B,C)),X0)
% 2.99/3.28  Current number of equations to process: 1084
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 357
% 2.99/3.28  New rule produced :
% 2.99/3.28  [366]
% 2.99/3.28  leq(multiplication(A,domain(B)) addition C,A addition C addition X0) -> true
% 2.99/3.28  Current number of equations to process: 1082
% 2.99/3.28  Current number of ordered equations: 1
% 2.99/3.28  Current number of rules: 358
% 2.99/3.28  New rule produced :
% 2.99/3.28  [367]
% 2.99/3.28  leq(multiplication(A,antidomain(B)) addition C,A addition C addition X0) ->
% 2.99/3.28  true
% 2.99/3.28  Current number of equations to process: 1082
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 359
% 2.99/3.28  New rule produced :
% 2.99/3.28  [368]
% 2.99/3.28  leq(multiplication(A,codomain(B)) addition C,A addition C addition X0) ->
% 2.99/3.28  true
% 2.99/3.28  Current number of equations to process: 1080
% 2.99/3.28  Current number of ordered equations: 1
% 2.99/3.28  Current number of rules: 360
% 2.99/3.28  New rule produced :
% 2.99/3.28  [369]
% 2.99/3.28  leq(multiplication(A,coantidomain(B)) addition C,A addition C addition X0) ->
% 2.99/3.28  true
% 2.99/3.28  Current number of equations to process: 1080
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 361
% 2.99/3.28  New rule produced :
% 2.99/3.28  [370]
% 2.99/3.28  leq(multiplication(domain(A),B) addition C,B addition C addition X0) -> true
% 2.99/3.28  Current number of equations to process: 1078
% 2.99/3.28  Current number of ordered equations: 1
% 2.99/3.28  Current number of rules: 362
% 2.99/3.28  New rule produced :
% 2.99/3.28  [371]
% 2.99/3.28  leq(multiplication(antidomain(A),B) addition C,B addition C addition X0) ->
% 2.99/3.28  true
% 2.99/3.28  Current number of equations to process: 1078
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 363
% 2.99/3.28  New rule produced :
% 2.99/3.28  [372]
% 2.99/3.28  leq(multiplication(codomain(A),B) addition C,B addition C addition X0) ->
% 2.99/3.28  true
% 2.99/3.28  Current number of equations to process: 1076
% 2.99/3.28  Current number of ordered equations: 1
% 2.99/3.28  Current number of rules: 364
% 2.99/3.28  New rule produced :
% 2.99/3.28  [373]
% 2.99/3.28  leq(multiplication(coantidomain(A),B) addition C,B addition C addition X0) ->
% 2.99/3.28  true
% 2.99/3.28  Current number of equations to process: 1076
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 365
% 2.99/3.28  New rule produced :
% 2.99/3.28  [374]
% 2.99/3.28  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 2.99/3.28                                                                     multiplication(B,C)),X0)))
% 2.99/3.28  -> zero
% 2.99/3.28  Current number of equations to process: 1075
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 366
% 2.99/3.28  New rule produced :
% 2.99/3.28  [375]
% 2.99/3.28  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 2.99/3.28                                                       coantidomain(multiplication(C,X0))))
% 2.99/3.28  -> zero
% 2.99/3.28  Current number of equations to process: 1074
% 2.99/3.28  Current number of ordered equations: 0
% 2.99/3.28  Current number of rules: 367
% 2.99/3.28  New rule produced :
% 2.99/3.28  [376]
% 2.99/3.28  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(
% 2.99/3.28                                                                  multiplication(B,C),X0)))
% 3.21/3.45  -> zero
% 3.21/3.45  Current number of equations to process: 1073
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 368
% 3.21/3.45  New rule produced :
% 3.21/3.45  [377]
% 3.21/3.45  multiplication(multiplication(multiplication(A,antidomain(multiplication(B,C))),B),
% 3.21/3.45  multiplication(C,X0)) -> zero
% 3.21/3.45  Current number of equations to process: 1072
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 369
% 3.21/3.45  New rule produced :
% 3.21/3.45  [378]
% 3.21/3.45  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 3.21/3.45  coantidomain(multiplication(C,X0))) -> zero
% 3.21/3.45  Current number of equations to process: 1071
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 370
% 3.21/3.45  New rule produced :
% 3.21/3.45  [379]
% 3.21/3.45  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(
% 3.21/3.45                                                                   multiplication(B,C),X0))
% 3.21/3.45  -> zero
% 3.21/3.45  Current number of equations to process: 1070
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 371
% 3.21/3.45  New rule produced :
% 3.21/3.45  [380]
% 3.21/3.45  multiplication(antidomain(multiplication(multiplication(A,B),C)),multiplication(A,
% 3.21/3.45                                                                   multiplication(B,C)))
% 3.21/3.45  -> zero
% 3.21/3.45  Current number of equations to process: 1069
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 372
% 3.21/3.45  New rule produced :
% 3.21/3.45  [381]
% 3.21/3.45  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 3.21/3.45                                                                      multiplication(B,C)),X0))
% 3.21/3.45  -> zero
% 3.21/3.45  Current number of equations to process: 1067
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 373
% 3.21/3.45  New rule produced :
% 3.21/3.45  [382]
% 3.21/3.45  multiplication(multiplication(A,antidomain(multiplication(B,C))),multiplication(B,
% 3.21/3.45                                                                   multiplication(C,X0)))
% 3.21/3.45  -> zero
% 3.21/3.45  Current number of equations to process: 1064
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 374
% 3.21/3.45  New rule produced :
% 3.21/3.45  [383]
% 3.21/3.45  multiplication(multiplication(A,multiplication(B,C)),coantidomain(multiplication(
% 3.21/3.45                                                                    multiplication(A,B),C)))
% 3.21/3.45  -> zero
% 3.21/3.45  Current number of equations to process: 1063
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 375
% 3.21/3.45  New rule produced :
% 3.21/3.45  [384]
% 3.21/3.45  multiplication(c(sK2_goals_X1),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 3.21/3.45  -> c(sK2_goals_X1)
% 3.21/3.45  Current number of equations to process: 1061
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 376
% 3.21/3.45  New rule produced :
% 3.21/3.45  [385]
% 3.21/3.45  leq(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),A) ->
% 3.21/3.45  true
% 3.21/3.45  Current number of equations to process: 1066
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 377
% 3.21/3.45  New rule produced :
% 3.21/3.45  [386]
% 3.21/3.45  leq(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 3.21/3.45  A addition B) -> true
% 3.21/3.45  Current number of equations to process: 1081
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 378
% 3.21/3.45  New rule produced :
% 3.21/3.45  [387]
% 3.21/3.45  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),coantidomain(
% 3.21/3.45                                                                 domain(sK2_goals_X1)))
% 3.21/3.45  -> coantidomain(domain(sK2_goals_X1))
% 3.21/3.45  Current number of equations to process: 1089
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 379
% 3.21/3.45  New rule produced :
% 3.21/3.45  [388]
% 3.21/3.45  multiplication(domain(sK2_goals_X1),coantidomain(backward_box(sK3_goals_X0,
% 3.21/3.45                                                   domain(sK1_goals_X2)))) ->
% 3.21/3.45  coantidomain(backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 3.21/3.45  Current number of equations to process: 1110
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 380
% 3.21/3.45  New rule produced :
% 3.21/3.45  [389]
% 3.21/3.45  leq(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))) addition B,
% 3.21/3.45  A addition B) -> true
% 3.21/3.45  Current number of equations to process: 1109
% 3.21/3.45  Current number of ordered equations: 0
% 3.21/3.45  Current number of rules: 381
% 3.21/3.45  New rule produced :
% 3.21/3.45  [390]
% 3.21/3.45  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),antidomain(sK2_goals_X1))
% 3.21/3.45  -> antidomain(sK2_goals_X1)
% 3.21/3.45  Current number of equations to process: 1109
% 3.21/3.45  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 382
% 4.18/4.43  New rule produced :
% 4.18/4.43  [391]
% 4.18/4.43  leq(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),A) ->
% 4.18/4.43  true
% 4.18/4.43  Current number of equations to process: 1116
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 383
% 4.18/4.43  New rule produced :
% 4.18/4.43  [392]
% 4.18/4.43  leq(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 4.18/4.43  A addition B) -> true
% 4.18/4.43  Current number of equations to process: 1131
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 384
% 4.18/4.43  New rule produced :
% 4.18/4.43  [393]
% 4.18/4.43  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),multiplication(
% 4.18/4.43                                                                 coantidomain(
% 4.18/4.43                                                                 domain(sK2_goals_X1)),A))
% 4.18/4.43  -> multiplication(coantidomain(domain(sK2_goals_X1)),A)
% 4.18/4.43  Current number of equations to process: 1150
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 385
% 4.18/4.43  New rule produced :
% 4.18/4.43  [394]
% 4.18/4.43  leq(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A) addition B,
% 4.18/4.43  A addition B) -> true
% 4.18/4.43  Current number of equations to process: 1149
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 386
% 4.18/4.43  New rule produced : [395] ifeq2(one,c(A),leq(one,c(A)),true) -> true
% 4.18/4.43  Current number of equations to process: 1188
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 387
% 4.18/4.43  New rule produced :
% 4.18/4.43  [396]
% 4.18/4.43  ifeq2(one,forward_diamond(A,B),leq(one,forward_diamond(A,B)),true) -> true
% 4.18/4.43  Current number of equations to process: 1268
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 388
% 4.18/4.43  New rule produced :
% 4.18/4.43  [397]
% 4.18/4.43  ifeq2(one,backward_diamond(A,B),leq(one,backward_diamond(A,B)),true) -> true
% 4.18/4.43  Current number of equations to process: 1267
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 389
% 4.18/4.43  New rule produced : [398] ifeq(leq(one,c(A)),true,one,c(A)) -> c(A)
% 4.18/4.43  Current number of equations to process: 1301
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 390
% 4.18/4.43  New rule produced :
% 4.18/4.43  [399]
% 4.18/4.43  codomain(codomain(A) addition multiplication(codomain(A),B)) ->
% 4.18/4.43  backward_diamond(one addition B,A)
% 4.18/4.43  Current number of equations to process: 1368
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 391
% 4.18/4.43  New rule produced :
% 4.18/4.43  [400]
% 4.18/4.43  ifeq(leq(one,forward_diamond(A,B)),true,one,forward_diamond(A,B)) ->
% 4.18/4.43  forward_diamond(A,B)
% 4.18/4.43  Current number of equations to process: 1368
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 392
% 4.18/4.43  New rule produced :
% 4.18/4.43  [401]
% 4.18/4.43  ifeq(leq(one,backward_diamond(A,B)),true,one,backward_diamond(A,B)) ->
% 4.18/4.43  backward_diamond(A,B)
% 4.18/4.43  Current number of equations to process: 1367
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 393
% 4.18/4.43  New rule produced :
% 4.18/4.43  [402]
% 4.18/4.43  c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 4.18/4.43  antidomain(forward_diamond(A addition C,B))
% 4.18/4.43  Current number of equations to process: 1366
% 4.18/4.43  Current number of ordered equations: 1
% 4.18/4.43  Current number of rules: 394
% 4.18/4.43  New rule produced :
% 4.18/4.43  [403]
% 4.18/4.43  antidomain(forward_diamond(A addition C,B)) <->
% 4.18/4.43  c(multiplication(A,domain(B)) addition multiplication(C,domain(B)))
% 4.18/4.43  Current number of equations to process: 1366
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 395
% 4.18/4.43  New rule produced :
% 4.18/4.43  [404]
% 4.18/4.43  c(backward_diamond(A,backward_box(B,multiplication(C,domain(X0))))) <->
% 4.18/4.43  backward_box(A,backward_diamond(B,antidomain(forward_diamond(C,X0))))
% 4.18/4.43  Current number of equations to process: 1365
% 4.18/4.43  Current number of ordered equations: 1
% 4.18/4.43  Current number of rules: 396
% 4.18/4.43  New rule produced :
% 4.18/4.43  [405]
% 4.18/4.43  backward_box(A,backward_diamond(B,antidomain(forward_diamond(C,X0)))) <->
% 4.18/4.43  c(backward_diamond(A,backward_box(B,multiplication(C,domain(X0)))))
% 4.18/4.43  Current number of equations to process: 1365
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 397
% 4.18/4.43  New rule produced :
% 4.18/4.43  [406]
% 4.18/4.43  c(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 4.18/4.43  antidomain(forward_diamond(multiplication(A,multiplication(B,C)),X0))
% 4.18/4.43  Current number of equations to process: 1364
% 4.18/4.43  Current number of ordered equations: 0
% 4.18/4.43  Current number of rules: 398
% 4.18/4.43  New rule produced :
% 4.18/4.43  [407]
% 4.18/4.43  domain(domain(A) addition multiplication(B,domain(A))) ->
% 4.81/5.09  forward_diamond(one addition B,A)
% 4.81/5.09  Current number of equations to process: 1416
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 399
% 4.81/5.09  New rule produced :
% 4.81/5.09  [408] forward_diamond(c(B) addition A,B) -> forward_diamond(A,B)
% 4.81/5.09  Current number of equations to process: 1420
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 400
% 4.81/5.09  New rule produced :
% 4.81/5.09  [409]
% 4.81/5.09  domain(multiplication(A,c(B)) addition multiplication(C,c(B))) <->
% 4.81/5.09  forward_diamond(A addition C,antidomain(B))
% 4.81/5.09  Current number of equations to process: 1443
% 4.81/5.09  Current number of ordered equations: 1
% 4.81/5.09  Current number of rules: 401
% 4.81/5.09  New rule produced :
% 4.81/5.09  [410]
% 4.81/5.09  forward_diamond(A addition C,antidomain(B)) <->
% 4.81/5.09  domain(multiplication(A,c(B)) addition multiplication(C,c(B)))
% 4.81/5.09  Current number of equations to process: 1443
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 402
% 4.81/5.09  New rule produced : [411] multiplication(antidomain(A addition B),A) -> zero
% 4.81/5.09  Rule
% 4.81/5.09  [101]
% 4.81/5.09  multiplication(antidomain(A addition B),A) addition multiplication(antidomain(
% 4.81/5.09                                                                     A addition B),B)
% 4.81/5.09  -> zero collapsed.
% 4.81/5.09  Current number of equations to process: 1472
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 402
% 4.81/5.09  New rule produced :
% 4.81/5.09  [412] multiplication(A,coantidomain(A addition B)) -> zero
% 4.81/5.09  Rule
% 4.81/5.09  [102]
% 4.81/5.09  multiplication(A,coantidomain(A addition B)) addition multiplication(B,
% 4.81/5.09                                                        coantidomain(A addition B))
% 4.81/5.09  -> zero collapsed.
% 4.81/5.09  Current number of equations to process: 1476
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 402
% 4.81/5.09  New rule produced :
% 4.81/5.09  [413] codomain(codomain(A)) addition codomain(A) -> codomain(codomain(A))
% 4.81/5.09  Current number of equations to process: 1477
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 403
% 4.81/5.09  New rule produced :
% 4.81/5.09  [414] leq(coantidomain(A),codomain(coantidomain(A))) -> true
% 4.81/5.09  Current number of equations to process: 1490
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 404
% 4.81/5.09  New rule produced :
% 4.81/5.09  [415] leq(coantidomain(A),codomain(coantidomain(A)) addition B) -> true
% 4.81/5.09  Current number of equations to process: 1491
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 405
% 4.81/5.09  New rule produced :
% 4.81/5.09  [416]
% 4.81/5.09  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B) -> true
% 4.81/5.09  Current number of equations to process: 1533
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 406
% 4.81/5.09  New rule produced :
% 4.81/5.09  [417]
% 4.81/5.09  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(
% 4.81/5.09                                                                     codomain(A)),B))
% 4.81/5.09  -> one
% 4.81/5.09  Current number of equations to process: 1534
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 407
% 4.81/5.09  New rule produced :
% 4.81/5.09  [418]
% 4.81/5.09  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 4.81/5.09                                                       coantidomain(B)) ->
% 4.81/5.09  multiplication(A,codomain(coantidomain(B)))
% 4.81/5.09  Current number of equations to process: 1610
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 408
% 4.81/5.09  New rule produced :
% 4.81/5.09  [419]
% 4.81/5.09  multiplication(codomain(coantidomain(A)),B) addition multiplication(coantidomain(A),B)
% 4.81/5.09  -> multiplication(codomain(coantidomain(A)),B)
% 4.81/5.09  Current number of equations to process: 1609
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 409
% 4.81/5.09  New rule produced :
% 4.81/5.09  [420]
% 4.81/5.09  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B addition C)
% 4.81/5.09  -> true
% 4.81/5.09  Current number of equations to process: 1608
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 410
% 4.81/5.09  New rule produced :
% 4.81/5.09  [421]
% 4.81/5.09  backward_diamond(multiplication(A,B),C) addition coantidomain(multiplication(
% 4.81/5.09                                                                backward_diamond(A,C),B))
% 4.81/5.09  -> one
% 4.81/5.09  Current number of equations to process: 1607
% 4.81/5.09  Current number of ordered equations: 0
% 4.81/5.09  Current number of rules: 411
% 4.81/5.09  New rule produced :
% 4.81/5.09  [422]
% 4.81/5.09  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(
% 4.81/5.09                                                                    codomain(A)),B)))
% 4.81/5.09  -> true
% 4.81/5.09  Current number of equations to process: 1608
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 412
% 5.29/5.55  New rule produced :
% 5.29/5.55  [423] domain(domain(A)) addition domain(A) -> domain(domain(A))
% 5.29/5.55  Current number of equations to process: 1629
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 413
% 5.29/5.55  New rule produced : [424] c(domain(A)) addition c(A) -> c(domain(A))
% 5.29/5.55  Current number of equations to process: 1628
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 414
% 5.29/5.55  New rule produced : [425] leq(antidomain(A),c(A)) -> true
% 5.29/5.55  Current number of equations to process: 1641
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 415
% 5.29/5.55  New rule produced : [426] leq(antidomain(A),c(A) addition B) -> true
% 5.29/5.55  Current number of equations to process: 1640
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 416
% 5.29/5.55  New rule produced : [427] c(c(A)) addition domain(domain(A)) -> c(c(A))
% 5.29/5.55  Current number of equations to process: 1653
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 417
% 5.29/5.55  New rule produced :
% 5.29/5.55  [428] leq(antidomain(A) addition B,c(A) addition B) -> true
% 5.29/5.55  Current number of equations to process: 1671
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 418
% 5.29/5.55  New rule produced :
% 5.29/5.55  [429]
% 5.29/5.55  backward_box(A,B) addition antidomain(backward_diamond(A,c(B))) ->
% 5.29/5.55  backward_box(A,B)
% 5.29/5.55  Current number of equations to process: 1694
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 419
% 5.29/5.55  New rule produced :
% 5.29/5.55  [430]
% 5.29/5.55  multiplication(A,c(B)) addition multiplication(A,antidomain(B)) ->
% 5.29/5.55  multiplication(A,c(B))
% 5.29/5.55  Current number of equations to process: 1693
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 420
% 5.29/5.55  New rule produced :
% 5.29/5.55  [431]
% 5.29/5.55  multiplication(c(A),B) addition multiplication(antidomain(A),B) ->
% 5.29/5.55  multiplication(c(A),B)
% 5.29/5.55  Current number of equations to process: 1692
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 421
% 5.29/5.55  New rule produced :
% 5.29/5.55  [432] ifeq2(c(A),antidomain(A),leq(c(A),antidomain(A)),true) -> true
% 5.29/5.55  Current number of equations to process: 1691
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 422
% 5.29/5.55  New rule produced :
% 5.29/5.55  [433] leq(antidomain(A) addition B,c(A) addition B addition C) -> true
% 5.29/5.55  Current number of equations to process: 1689
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 423
% 5.29/5.55  New rule produced :
% 5.29/5.55  [434] ifeq(leq(c(A),antidomain(A)),true,c(A),antidomain(A)) -> antidomain(A)
% 5.29/5.55  Current number of equations to process: 1687
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 424
% 5.29/5.55  New rule produced :
% 5.29/5.55  [435]
% 5.29/5.55  antidomain(forward_diamond(A,B)) addition antidomain(multiplication(A,
% 5.29/5.55                                                       domain(B))) ->
% 5.29/5.55  antidomain(forward_diamond(A,B))
% 5.29/5.55  Current number of equations to process: 1686
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 425
% 5.29/5.55  New rule produced :
% 5.29/5.55  [436]
% 5.29/5.55  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(
% 5.29/5.55                                                                   domain(B))))
% 5.29/5.55  -> one
% 5.29/5.55  Current number of equations to process: 1738
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 426
% 5.29/5.55  New rule produced :
% 5.29/5.55  [437]
% 5.29/5.55  domain(multiplication(A,antidomain(B))) addition antidomain(multiplication(A,
% 5.29/5.55                                                              c(B))) -> one
% 5.29/5.55  Current number of equations to process: 1737
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 427
% 5.29/5.55  New rule produced :
% 5.29/5.55  [438]
% 5.29/5.55  leq(antidomain(multiplication(A,antidomain(B))),antidomain(multiplication(A,
% 5.29/5.55                                                             c(B)))) -> true
% 5.29/5.55  Current number of equations to process: 1759
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 428
% 5.29/5.55  New rule produced :
% 5.29/5.55  [439]
% 5.29/5.55  forward_diamond(multiplication(A,B),C) addition antidomain(multiplication(A,
% 5.29/5.55                                                             forward_diamond(B,C)))
% 5.29/5.55  -> one
% 5.29/5.55  Current number of equations to process: 1764
% 5.29/5.55  Current number of ordered equations: 0
% 5.29/5.55  Current number of rules: 429
% 5.29/5.55  New rule produced :
% 5.29/5.55  [440]
% 5.29/5.55  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(
% 5.29/5.61                                                                  domain(B)))))
% 5.29/5.61  -> true
% 5.29/5.61  Current number of equations to process: 1782
% 5.29/5.61  Current number of ordered equations: 0
% 5.29/5.61  Current number of rules: 430
% 5.29/5.61  Rule [316]
% 5.29/5.61       backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 5.29/5.61                                                                     codomain(B),A)),C)),B)
% 5.29/5.61       -> codomain(zero) is composed into [316]
% 5.29/5.61                                          backward_diamond(multiplication(A,
% 5.29/5.61                                                           multiplication(
% 5.29/5.61                                                           coantidomain(
% 5.29/5.61                                                           multiplication(
% 5.29/5.61                                                           codomain(B),A)),C)),B)
% 5.29/5.61                                          -> zero
% 5.29/5.61  Rule [313]
% 5.29/5.61       backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 5.29/5.61       multiplication(codomain(B),A)) -> codomain(zero) is composed into 
% 5.29/5.61  [313]
% 5.29/5.61  backward_diamond(multiplication(coantidomain(backward_diamond(A,B)),C),
% 5.29/5.61  multiplication(codomain(B),A)) -> zero
% 5.29/5.61  Rule [256]
% 5.29/5.61       backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 5.29/5.61       -> codomain(zero) is composed into [256]
% 5.29/5.61                                          backward_diamond(multiplication(A,
% 5.29/5.61                                                           coantidomain(
% 5.29/5.61                                                           multiplication(
% 5.29/5.61                                                           codomain(B),A))),B)
% 5.29/5.61                                          -> zero
% 5.29/5.61  Rule [245]
% 5.29/5.61       backward_box(codomain(coantidomain(backward_box(A,B))),backward_diamond(A,
% 5.29/5.61                                                              c(B))) ->
% 5.29/5.61       c(codomain(zero)) is composed into [245]
% 5.29/5.61                                          backward_box(codomain(coantidomain(
% 5.29/5.61                                                                backward_box(A,B))),
% 5.29/5.61                                          backward_diamond(A,c(B))) -> 
% 5.40/5.61                                          c(zero)
% 5.40/5.61  Rule [227]
% 5.40/5.61       backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 5.40/5.61                                                            codomain(B),A)) ->
% 5.40/5.61       codomain(zero) is composed into [227]
% 5.40/5.61                                       backward_diamond(coantidomain(backward_diamond(A,B)),
% 5.40/5.61                                       multiplication(codomain(B),A)) -> zero
% 5.40/5.61  Rule [177]
% 5.40/5.61       backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) ->
% 5.40/5.61       codomain(zero) is composed into [177]
% 5.40/5.61                                       backward_diamond(codomain(codomain(
% 5.40/5.61                                                                 coantidomain(A))),
% 5.40/5.61                                       codomain(A)) -> zero
% 5.40/5.61  Rule [175] backward_box(codomain(coantidomain(c(A))),A) -> c(codomain(zero)) is composed into 
% 5.40/5.61  [175] backward_box(codomain(coantidomain(c(A))),A) -> c(zero)
% 5.40/5.61  Rule [173]
% 5.40/5.61       backward_diamond(codomain(codomain(A)),coantidomain(A)) ->
% 5.40/5.61       codomain(zero) is composed into [173]
% 5.40/5.61                                       backward_diamond(codomain(codomain(A)),
% 5.40/5.61                                       coantidomain(A)) -> zero
% 5.40/5.61  Rule [127] backward_box(zero,A) -> c(codomain(zero)) is composed into 
% 5.40/5.61  [127] backward_box(zero,A) -> c(zero)
% 5.40/5.61  Rule [46] backward_diamond(codomain(coantidomain(A)),A) -> codomain(zero) is composed into 
% 5.40/5.61  [46] backward_diamond(codomain(coantidomain(A)),A) -> zero
% 5.40/5.61  Rule [33] backward_diamond(zero,A) -> codomain(zero) is composed into 
% 5.40/5.61  [33] backward_diamond(zero,A) -> zero
% 5.40/5.61  New rule produced : [441] codomain(zero) -> zero
% 5.40/5.61  Rule [176] backward_diamond(codomain(zero),one) -> codomain(zero) collapsed.
% 5.40/5.61  Rule [213] coantidomain(multiplication(codomain(zero),A)) -> one collapsed.
% 5.40/5.61  Current number of equations to process: 1782
% 5.40/5.61  Current number of ordered equations: 0
% 5.40/5.61  Current number of rules: 429
% 5.40/5.61  New rule produced : [442] backward_diamond(A,one) -> codomain(A)
% 5.40/5.61  Current number of equations to process: 1782
% 5.40/5.61  Current number of ordered equations: 0
% 5.40/5.61  Current number of rules: 430
% 5.40/5.61  Rule [317]
% 5.49/5.72       forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 5.49/5.72                                                                  domain(C)))),B),C)
% 5.49/5.72       -> c(one) is composed into [317]
% 5.49/5.72                                  forward_diamond(multiplication(multiplication(A,
% 5.49/5.72                                                                 antidomain(
% 5.49/5.72                                                                 multiplication(B,
% 5.49/5.72                                                                 domain(C)))),B),C)
% 5.49/5.72                                  -> zero
% 5.49/5.72  Rule [315]
% 5.49/5.72       forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),
% 5.49/5.72       multiplication(B,domain(C))) -> c(one) is composed into [315]
% 5.49/5.72                                                               forward_diamond(
% 5.49/5.72                                                               multiplication(A,
% 5.49/5.72                                                               antidomain(
% 5.49/5.72                                                               forward_diamond(B,C))),
% 5.49/5.72                                                               multiplication(B,
% 5.49/5.72                                                               domain(C))) ->
% 5.49/5.72                                                               zero
% 5.49/5.72  Rule [260] forward_diamond(multiplication(A,c(B)),B) -> c(one) is composed into 
% 5.49/5.72  [260] forward_diamond(multiplication(A,c(B)),B) -> zero
% 5.49/5.72  Rule [258]
% 5.49/5.72       forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 5.49/5.72       -> c(one) is composed into [258]
% 5.49/5.72                                  forward_diamond(multiplication(antidomain(
% 5.49/5.72                                                                 multiplication(A,
% 5.49/5.72                                                                 domain(B))),A),B)
% 5.49/5.72                                  -> zero
% 5.49/5.72  Rule [228]
% 5.49/5.72       forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,
% 5.49/5.72                                                        domain(B))) -> 
% 5.49/5.72       c(one) is composed into [228]
% 5.49/5.72                               forward_diamond(antidomain(forward_diamond(A,B)),
% 5.49/5.72                               multiplication(A,domain(B))) -> zero
% 5.49/5.72  Rule [168] forward_diamond(c(A),A) -> c(one) is composed into [168]
% 5.49/5.72                                                                forward_diamond(
% 5.49/5.72                                                                c(A),A) -> zero
% 5.49/5.72  Rule [126] domain(zero) -> c(one) is composed into [126] domain(zero) -> zero
% 5.49/5.72  Rule [34] forward_diamond(zero,A) -> c(one) is composed into [34]
% 5.49/5.72                                                               forward_diamond(zero,A)
% 5.49/5.72                                                               -> zero
% 5.49/5.72  New rule produced : [443] c(one) -> zero
% 5.49/5.72  Rule [214] antidomain(multiplication(A,c(one))) -> one collapsed.
% 5.49/5.72  Current number of equations to process: 1782
% 5.49/5.72  Current number of ordered equations: 0
% 5.49/5.72  Current number of rules: 430
% 5.49/5.72  New rule produced : [444] forward_diamond(A,one) -> domain(A)
% 5.49/5.72  Current number of equations to process: 1782
% 5.49/5.72  Current number of ordered equations: 0
% 5.49/5.72  Current number of rules: 431
% 5.49/5.72  New rule produced :
% 5.49/5.72  [445]
% 5.49/5.72  c(backward_diamond(A,domain(domain(B)))) -> backward_box(A,antidomain(B))
% 5.49/5.72  Current number of equations to process: 1782
% 5.49/5.72  Current number of ordered equations: 0
% 5.49/5.72  Current number of rules: 432
% 5.49/5.72  New rule produced :
% 5.49/5.72  [446] c(domain(backward_diamond(A,c(B)))) -> domain(backward_box(A,B))
% 5.49/5.72  Current number of equations to process: 1784
% 5.49/5.72  Current number of ordered equations: 0
% 5.49/5.72  Current number of rules: 433
% 5.49/5.72  New rule produced : [447] multiplication(c(c(A)),c(domain(A))) -> zero
% 5.49/5.72  Current number of equations to process: 1793
% 5.49/5.72  Current number of ordered equations: 0
% 5.49/5.72  Current number of rules: 434
% 5.49/5.72  New rule produced : [448] c(c(A)) addition c(domain(A)) -> one
% 5.49/5.72  Current number of equations to process: 1792
% 5.49/5.72  Current number of ordered equations: 0
% 5.49/5.72  Current number of rules: 435
% 5.49/5.72  New rule produced : [449] c(c(A)) addition c(domain(domain(A))) -> one
% 5.49/5.72  Current number of equations to process: 1792
% 5.49/5.72  Current number of ordered equations: 0
% 5.49/5.72  Current number of rules: 436
% 5.49/5.72  New rule produced :
% 5.49/5.72  [450]
% 5.49/5.72  domain(multiplication(A,backward_box(B,C))) ->
% 5.49/5.72  forward_diamond(A,antidomain(backward_diamond(B,c(C))))
% 5.58/5.82  Current number of equations to process: 1796
% 5.58/5.82  Current number of ordered equations: 0
% 5.58/5.82  Current number of rules: 437
% 5.58/5.82  New rule produced : [451] forward_diamond(A,zero) -> zero
% 5.58/5.82  Current number of equations to process: 1814
% 5.58/5.82  Current number of ordered equations: 0
% 5.58/5.82  Current number of rules: 438
% 5.58/5.82  New rule produced : [452] backward_box(A,zero) -> c(codomain(A))
% 5.58/5.82  Current number of equations to process: 1814
% 5.58/5.82  Current number of ordered equations: 0
% 5.58/5.82  Current number of rules: 439
% 5.58/5.82  New rule produced :
% 5.58/5.82  [453]
% 5.58/5.82  coantidomain(multiplication(codomain(codomain(A)),codomain(coantidomain(A))))
% 5.58/5.82  -> one
% 5.58/5.82  Current number of equations to process: 1817
% 5.58/5.82  Current number of ordered equations: 0
% 5.58/5.82  Current number of rules: 440
% 5.58/5.82  New rule produced :
% 5.58/5.82  [454] backward_diamond(multiplication(codomain(coantidomain(A)),B),A) -> zero
% 5.58/5.82  Current number of equations to process: 1820
% 5.58/5.82  Current number of ordered equations: 0
% 5.58/5.82  Current number of rules: 441
% 5.58/5.82  Rule [35] coantidomain(codomain(A)) -> codomain(coantidomain(A)) is composed into 
% 5.58/5.82  [35] coantidomain(codomain(A)) -> coantidomain(A)
% 5.58/5.82  New rule produced : [455] codomain(coantidomain(A)) -> coantidomain(A)
% 5.58/5.82  Rule [46] backward_diamond(codomain(coantidomain(A)),A) -> zero collapsed.
% 5.58/5.82  Rule [49] codomain(coantidomain(A)) addition codomain(A) -> one collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [103]
% 5.58/5.82  codomain(coantidomain(A)) addition coantidomain(A) ->
% 5.58/5.82  codomain(coantidomain(A)) collapsed.
% 5.58/5.82  Rule [128] multiplication(codomain(A),codomain(coantidomain(A))) -> zero
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule [129] codomain(codomain(A)) addition codomain(coantidomain(A)) -> one
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [130]
% 5.58/5.82  codomain(coantidomain(multiplication(codomain(B),A))) ->
% 5.58/5.82  coantidomain(backward_diamond(A,B)) collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [161]
% 5.58/5.82  coantidomain(multiplication(codomain(coantidomain(A)),codomain(A))) -> one
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [163] multiplication(codomain(coantidomain(A)),codomain(codomain(A))) -> zero
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule [175] backward_box(codomain(coantidomain(c(A))),A) -> c(zero) collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [177]
% 5.58/5.82  backward_diamond(codomain(codomain(coantidomain(A))),codomain(A)) -> zero
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [189]
% 5.58/5.82  codomain(codomain(coantidomain(A))) addition codomain(codomain(A)) -> one
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [202]
% 5.58/5.82  multiplication(multiplication(A,codomain(B)),codomain(coantidomain(B))) ->
% 5.58/5.82  zero collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [209]
% 5.58/5.82  multiplication(codomain(A),multiplication(codomain(coantidomain(A)),B)) ->
% 5.58/5.82  zero collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [219]
% 5.58/5.82  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 5.58/5.82                                                       codomain(B)) -> A
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [220]
% 5.58/5.82  multiplication(codomain(coantidomain(B)),A) addition multiplication(codomain(B),A)
% 5.58/5.82  -> A collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [229]
% 5.58/5.82  codomain(coantidomain(multiplication(backward_diamond(C,B),A))) ->
% 5.58/5.82  coantidomain(backward_diamond(A,multiplication(codomain(B),C))) collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [244]
% 5.58/5.82  ifeq2(one,codomain(A),leq(codomain(coantidomain(A)),codomain(A)),true) ->
% 5.58/5.82  true collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [245]
% 5.58/5.82  backward_box(codomain(coantidomain(backward_box(A,B))),backward_diamond(A,
% 5.58/5.82                                                         c(B))) -> c(zero)
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [259]
% 5.58/5.82  codomain(coantidomain(multiplication(multiplication(codomain(C),A),B))) ->
% 5.58/5.82  coantidomain(backward_diamond(multiplication(A,B),C)) collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [286]
% 5.58/5.82  multiplication(A,codomain(codomain(B))) addition multiplication(A,codomain(
% 5.58/5.82                                                                    coantidomain(B)))
% 5.58/5.82  -> A collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [305]
% 5.58/5.82  multiplication(codomain(codomain(A)),B) addition multiplication(codomain(
% 5.58/5.82                                                                  coantidomain(A)),B)
% 5.58/5.82  -> B collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [311]
% 5.58/5.82  ifeq(leq(codomain(coantidomain(A)),codomain(A)),true,one,codomain(A)) ->
% 5.58/5.82  codomain(A) collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [360]
% 5.58/5.82  ifeq2(one,codomain(coantidomain(A)),leq(codomain(A),codomain(coantidomain(A))),true)
% 5.58/5.82  -> true collapsed.
% 5.58/5.82  Rule [414] leq(coantidomain(A),codomain(coantidomain(A))) -> true collapsed.
% 5.58/5.82  Rule [415] leq(coantidomain(A),codomain(coantidomain(A)) addition B) -> true
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [416]
% 5.58/5.82  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B) -> true
% 5.58/5.82  collapsed.
% 5.58/5.82  Rule
% 5.58/5.82  [418]
% 5.58/5.82  multiplication(A,codomain(coantidomain(B))) addition multiplication(A,
% 5.69/5.92                                                       coantidomain(B)) ->
% 5.69/5.92  multiplication(A,codomain(coantidomain(B))) collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [419]
% 5.69/5.92  multiplication(codomain(coantidomain(A)),B) addition multiplication(coantidomain(A),B)
% 5.69/5.92  -> multiplication(codomain(coantidomain(A)),B) collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [420]
% 5.69/5.92  leq(coantidomain(A) addition B,codomain(coantidomain(A)) addition B addition C)
% 5.69/5.92  -> true collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [453]
% 5.69/5.92  coantidomain(multiplication(codomain(codomain(A)),codomain(coantidomain(A))))
% 5.69/5.92  -> one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [454] backward_diamond(multiplication(codomain(coantidomain(A)),B),A) -> zero
% 5.69/5.92  collapsed.
% 5.69/5.92  Current number of equations to process: 1837
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 411
% 5.69/5.92  New rule produced : [456] backward_diamond(coantidomain(A),A) -> zero
% 5.69/5.92  Current number of equations to process: 1836
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 412
% 5.69/5.92  New rule produced : [457] multiplication(codomain(A),coantidomain(A)) -> zero
% 5.69/5.92  Rule [306] coantidomain(multiplication(codomain(A),coantidomain(A))) -> one
% 5.69/5.92  collapsed.
% 5.69/5.92  Current number of equations to process: 1835
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 412
% 5.69/5.92  New rule produced :
% 5.69/5.92  [458] backward_diamond(coantidomain(A),codomain(A)) -> zero
% 5.69/5.92  Current number of equations to process: 1834
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 413
% 5.69/5.92  New rule produced : [459] backward_box(coantidomain(c(A)),A) -> one
% 5.69/5.92  Current number of equations to process: 1833
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 414
% 5.69/5.92  New rule produced :
% 5.69/5.92  [460] multiplication(coantidomain(A),codomain(codomain(A))) -> zero
% 5.69/5.92  Current number of equations to process: 1832
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 415
% 5.69/5.92  New rule produced :
% 5.69/5.92  [461] codomain(codomain(A)) addition coantidomain(A) -> one
% 5.69/5.92  Current number of equations to process: 1831
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 416
% 5.69/5.92  New rule produced :
% 5.69/5.92  [462] backward_diamond(multiplication(coantidomain(A),B),A) -> zero
% 5.69/5.92  Current number of equations to process: 1830
% 5.69/5.92  Current number of ordered equations: 0
% 5.69/5.92  Current number of rules: 417
% 5.69/5.92  New rule produced :
% 5.69/5.92  [463]
% 5.69/5.92  coantidomain(multiplication(codomain(B),A)) ->
% 5.69/5.92  coantidomain(backward_diamond(A,B))
% 5.69/5.92  Rule
% 5.69/5.92  [28]
% 5.69/5.92  coantidomain(multiplication(codomain(X0),X1)) addition coantidomain(multiplication(X0,X1))
% 5.69/5.92  -> coantidomain(multiplication(codomain(X0),X1)) collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [66]
% 5.69/5.92  backward_diamond(A,B) addition coantidomain(multiplication(codomain(B),A)) ->
% 5.69/5.92  one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [106]
% 5.69/5.92  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(A),B))
% 5.69/5.92  -> one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [107]
% 5.69/5.92  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)))
% 5.69/5.92  -> true collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [110]
% 5.69/5.92  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(A),B)) addition C)
% 5.69/5.92  -> true collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [160]
% 5.69/5.92  multiplication(coantidomain(multiplication(codomain(A),B)),backward_diamond(B,A))
% 5.69/5.92  -> zero collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [167] coantidomain(multiplication(codomain(domain(A)),antidomain(A))) -> one
% 5.69/5.92  collapsed.
% 5.69/5.92  Rule [172] coantidomain(multiplication(codomain(c(A)),domain(A))) -> one
% 5.69/5.92  collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [200]
% 5.69/5.92  coantidomain(multiplication(codomain(multiplication(A,B)),coantidomain(B)))
% 5.69/5.92  -> one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [204]
% 5.69/5.92  coantidomain(multiplication(codomain(multiplication(A,antidomain(B))),B)) ->
% 5.69/5.92  one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [207]
% 5.69/5.92  coantidomain(multiplication(codomain(A),multiplication(coantidomain(A),B)))
% 5.69/5.92  -> one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [210]
% 5.69/5.92  coantidomain(multiplication(codomain(antidomain(A)),multiplication(A,B))) ->
% 5.69/5.92  one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [252]
% 5.69/5.92  backward_diamond(A,B) addition coantidomain(multiplication(codomain(codomain(B)),A))
% 5.69/5.92  -> one collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [256]
% 5.69/5.92  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A))),B)
% 5.69/5.92  -> zero collapsed.
% 5.69/5.92  Rule [307] coantidomain(multiplication(codomain(antidomain(A)),A)) -> one
% 5.69/5.92  collapsed.
% 5.69/5.92  Rule
% 5.69/5.92  [316]
% 5.69/5.92  backward_diamond(multiplication(A,multiplication(coantidomain(multiplication(
% 5.69/5.92                                                                codomain(B),A)),C)),B)
% 5.69/5.92  -> zero collapsed.
% 5.79/6.00  Rule
% 5.79/6.00  [417]
% 5.79/6.00  codomain(multiplication(A,B)) addition coantidomain(multiplication(codomain(
% 5.79/6.00                                                                     codomain(A)),B))
% 5.79/6.00  -> one collapsed.
% 5.79/6.00  Rule
% 5.79/6.00  [422]
% 5.79/6.00  leq(coantidomain(multiplication(A,B)),coantidomain(multiplication(codomain(
% 5.79/6.00                                                                    codomain(A)),B)))
% 5.79/6.00  -> true collapsed.
% 5.79/6.00  Current number of equations to process: 1845
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 400
% 5.79/6.00  New rule produced :
% 5.79/6.00  [464]
% 5.79/6.00  coantidomain(backward_diamond(X1,X0)) addition coantidomain(multiplication(X0,X1))
% 5.79/6.00  -> coantidomain(backward_diamond(X1,X0))
% 5.79/6.00  Current number of equations to process: 1844
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 401
% 5.79/6.00  New rule produced :
% 5.79/6.00  [465] coantidomain(backward_diamond(A,antidomain(A))) -> one
% 5.79/6.00  Current number of equations to process: 1843
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 402
% 5.79/6.00  New rule produced :
% 5.79/6.00  [466] coantidomain(backward_diamond(antidomain(A),domain(A))) -> one
% 5.79/6.00  Current number of equations to process: 1842
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 403
% 5.79/6.00  New rule produced :
% 5.79/6.00  [467] coantidomain(backward_diamond(domain(A),c(A))) -> one
% 5.79/6.00  Current number of equations to process: 1841
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 404
% 5.79/6.00  New rule produced :
% 5.79/6.00  [468]
% 5.79/6.00  coantidomain(backward_diamond(coantidomain(B),multiplication(A,B))) -> one
% 5.79/6.00  Current number of equations to process: 1839
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 405
% 5.79/6.00  New rule produced :
% 5.79/6.00  [469] multiplication(multiplication(A,codomain(B)),coantidomain(B)) -> zero
% 5.79/6.00  Current number of equations to process: 1838
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 406
% 5.79/6.00  New rule produced :
% 5.79/6.00  [470]
% 5.79/6.00  coantidomain(backward_diamond(B,multiplication(A,antidomain(B)))) -> one
% 5.79/6.00  Current number of equations to process: 1837
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 407
% 5.79/6.00  New rule produced :
% 5.79/6.00  [471] multiplication(codomain(A),multiplication(coantidomain(A),B)) -> zero
% 5.79/6.00  Current number of equations to process: 1836
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 408
% 5.79/6.00  New rule produced :
% 5.79/6.00  [472]
% 5.79/6.00  coantidomain(backward_diamond(multiplication(A,B),antidomain(A))) -> one
% 5.79/6.00  Current number of equations to process: 1835
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 409
% 5.79/6.00  New rule produced :
% 5.79/6.00  [473]
% 5.79/6.00  multiplication(coantidomain(backward_diamond(B,A)),backward_diamond(B,A)) ->
% 5.79/6.00  zero
% 5.79/6.00  Current number of equations to process: 1833
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 410
% 5.79/6.00  New rule produced :
% 5.79/6.00  [474]
% 5.79/6.00  backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),B) ->
% 5.79/6.00  zero
% 5.79/6.00  Current number of equations to process: 1832
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 411
% 5.79/6.00  New rule produced :
% 5.79/6.00  [475] antidomain(multiplication(codomain(A),domain(coantidomain(A)))) -> one
% 5.79/6.00  Current number of equations to process: 1831
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 412
% 5.79/6.00  New rule produced :
% 5.79/6.00  [476] multiplication(codomain(codomain(A)),coantidomain(A)) -> zero
% 5.79/6.00  Current number of equations to process: 1830
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 413
% 5.79/6.00  New rule produced :
% 5.79/6.00  [477]
% 5.79/6.00  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,A)) ->
% 5.79/6.00  one
% 5.79/6.00  Current number of equations to process: 1829
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 414
% 5.79/6.00  New rule produced :
% 5.79/6.00  [478]
% 5.79/6.00  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A))) ->
% 5.79/6.00  true
% 5.79/6.00  Current number of equations to process: 1828
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 415
% 5.79/6.00  New rule produced :
% 5.79/6.00  [479]
% 5.79/6.00  backward_diamond(A,B) addition coantidomain(backward_diamond(A,codomain(B)))
% 5.79/6.00  -> one
% 5.79/6.00  Current number of equations to process: 1827
% 5.79/6.00  Current number of ordered equations: 0
% 5.79/6.00  Current number of rules: 416
% 5.79/6.00  New rule produced :
% 5.79/6.00  [480]
% 5.79/6.00  backward_box(coantidomain(backward_box(A,B)),backward_diamond(A,c(B))) -> one
% 5.79/6.00  Current number of equations to process: 1826
% 5.79/6.00  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 417
% 5.88/6.10  New rule produced :
% 5.88/6.10  [481]
% 5.88/6.10  coantidomain(multiplication(backward_diamond(C,B),A)) ->
% 5.88/6.10  coantidomain(backward_diamond(A,multiplication(codomain(B),C)))
% 5.88/6.10  Rule
% 5.88/6.10  [421]
% 5.88/6.10  backward_diamond(multiplication(A,B),C) addition coantidomain(multiplication(
% 5.88/6.10                                                                backward_diamond(A,C),B))
% 5.88/6.10  -> one collapsed.
% 5.88/6.10  Current number of equations to process: 1826
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 417
% 5.88/6.10  New rule produced :
% 5.88/6.10  [482]
% 5.88/6.10  coantidomain(multiplication(multiplication(codomain(C),A),B)) ->
% 5.88/6.10  coantidomain(backward_diamond(multiplication(A,B),C))
% 5.88/6.10  Current number of equations to process: 1825
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 418
% 5.88/6.10  New rule produced :
% 5.88/6.10  [483] forward_diamond(domain(domain(A)),antidomain(A)) -> zero
% 5.88/6.10  Current number of equations to process: 1829
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 419
% 5.88/6.10  New rule produced :
% 5.88/6.10  [484] multiplication(c(domain(domain(A))),c(c(A))) -> zero
% 5.88/6.10  Current number of equations to process: 1828
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 420
% 5.88/6.10  New rule produced :
% 5.88/6.10  [485]
% 5.88/6.10  backward_diamond(multiplication(A,multiplication(coantidomain(backward_diamond(A,B)),C)),B)
% 5.88/6.10  -> zero
% 5.88/6.10  Current number of equations to process: 1829
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 421
% 5.88/6.10  New rule produced :
% 5.88/6.10  [486]
% 5.88/6.10  multiplication(A,codomain(codomain(B))) addition multiplication(A,coantidomain(B))
% 5.88/6.10  -> A
% 5.88/6.10  Current number of equations to process: 1828
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 422
% 5.88/6.10  New rule produced :
% 5.88/6.10  [487]
% 5.88/6.10  multiplication(codomain(codomain(A)),B) addition multiplication(coantidomain(A),B)
% 5.88/6.10  -> B
% 5.88/6.10  Current number of equations to process: 1827
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 423
% 5.88/6.10  New rule produced :
% 5.88/6.10  [488]
% 5.88/6.10  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,
% 5.88/6.10                                                      codomain(A))) -> one
% 5.88/6.10  Current number of equations to process: 1826
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 424
% 5.88/6.10  New rule produced :
% 5.88/6.10  [489]
% 5.88/6.10  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,
% 5.88/6.10                                                     codomain(A)))) -> true
% 5.88/6.10  Current number of equations to process: 1825
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 425
% 5.88/6.10  New rule produced :
% 5.88/6.10  [490]
% 5.88/6.10  c(backward_diamond(A,backward_box(B,antidomain(C)))) <->
% 5.88/6.10  backward_box(A,backward_diamond(B,domain(domain(C))))
% 5.88/6.10  Current number of equations to process: 1824
% 5.88/6.10  Current number of ordered equations: 1
% 5.88/6.10  Current number of rules: 426
% 5.88/6.10  New rule produced :
% 5.88/6.10  [491]
% 5.88/6.10  backward_box(A,backward_diamond(B,domain(domain(C)))) <->
% 5.88/6.10  c(backward_diamond(A,backward_box(B,antidomain(C))))
% 5.88/6.10  Current number of equations to process: 1824
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 427
% 5.88/6.10  New rule produced :
% 5.88/6.10  [492]
% 5.88/6.10  c(domain(backward_diamond(A,backward_box(B,C)))) <->
% 5.88/6.10  domain(backward_box(A,backward_diamond(B,c(C))))
% 5.88/6.10  Current number of equations to process: 1822
% 5.88/6.10  Current number of ordered equations: 1
% 5.88/6.10  Current number of rules: 428
% 5.88/6.10  New rule produced :
% 5.88/6.10  [493]
% 5.88/6.10  domain(backward_box(A,backward_diamond(B,c(C)))) <->
% 5.88/6.10  c(domain(backward_diamond(A,backward_box(B,C))))
% 5.88/6.10  Current number of equations to process: 1822
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 429
% 5.88/6.10  New rule produced :
% 5.88/6.10  [494]
% 5.88/6.10  multiplication(forward_diamond(A,antidomain(B)),antidomain(multiplication(A,
% 5.88/6.10                                                             c(B)))) -> zero
% 5.88/6.10  Current number of equations to process: 1821
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 430
% 5.88/6.10  New rule produced :
% 5.88/6.10  [495]
% 5.88/6.10  domain(multiplication(A,antidomain(forward_diamond(B,C)))) ->
% 5.88/6.10  forward_diamond(A,antidomain(multiplication(B,domain(C))))
% 5.88/6.10  Current number of equations to process: 1820
% 5.88/6.10  Current number of ordered equations: 0
% 5.88/6.10  Current number of rules: 431
% 5.88/6.10  New rule produced :
% 5.88/6.10  [496]
% 5.88/6.10  multiplication(multiplication(A,domain(domain(B))),multiplication(c(B),C)) ->
% 5.88/6.10  zero
% 5.88/6.10  Current number of equations to process: 1817
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 432
% 6.27/6.49  New rule produced :
% 6.27/6.49  [497]
% 6.27/6.49  domain(multiplication(A,antidomain(backward_box(B,C)))) ->
% 6.27/6.49  forward_diamond(A,domain(backward_diamond(B,c(C))))
% 6.27/6.49  Current number of equations to process: 1816
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 433
% 6.27/6.49  New rule produced :
% 6.27/6.49  [498]
% 6.27/6.49  domain(domain(backward_diamond(A,domain(domain(B))))) ->
% 6.27/6.49  antidomain(backward_box(A,antidomain(B)))
% 6.27/6.49  Current number of equations to process: 1828
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 434
% 6.27/6.49  New rule produced :
% 6.27/6.49  [499] multiplication(A,forward_diamond(B,C)) addition A -> A
% 6.27/6.49  Current number of equations to process: 1850
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 435
% 6.27/6.49  New rule produced :
% 6.27/6.49  [500] multiplication(forward_diamond(B,C),A) addition A -> A
% 6.27/6.49  Current number of equations to process: 1849
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 436
% 6.27/6.49  New rule produced :
% 6.27/6.49  [501] one addition multiplication(antidomain(A),domain(B)) -> one
% 6.27/6.49  Current number of equations to process: 1867
% 6.27/6.49  Current number of ordered equations: 1
% 6.27/6.49  Current number of rules: 437
% 6.27/6.49  New rule produced :
% 6.27/6.49  [502] one addition multiplication(domain(A),domain(B)) -> one
% 6.27/6.49  Current number of equations to process: 1867
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 438
% 6.27/6.49  New rule produced :
% 6.27/6.49  [503] one addition multiplication(coantidomain(A),domain(B)) -> one
% 6.27/6.49  Current number of equations to process: 1865
% 6.27/6.49  Current number of ordered equations: 1
% 6.27/6.49  Current number of rules: 439
% 6.27/6.49  New rule produced :
% 6.27/6.49  [504] one addition multiplication(codomain(A),domain(B)) -> one
% 6.27/6.49  Current number of equations to process: 1865
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 440
% 6.27/6.49  New rule produced :
% 6.27/6.49  [505]
% 6.27/6.49  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 6.27/6.49               domain(A)) -> one
% 6.27/6.49  Current number of equations to process: 1880
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 441
% 6.27/6.49  New rule produced : [506] multiplication(A,c(B)) addition A -> A
% 6.27/6.49  Current number of equations to process: 1885
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 442
% 6.27/6.49  New rule produced : [507] one addition multiplication(c(A),domain(B)) -> one
% 6.27/6.49  Current number of equations to process: 1884
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 443
% 6.27/6.49  New rule produced :
% 6.27/6.49  [508] one addition multiplication(forward_diamond(A,B),domain(C)) -> one
% 6.27/6.49  Current number of equations to process: 1917
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 444
% 6.27/6.49  New rule produced :
% 6.27/6.49  [509] multiplication(multiplication(A,domain(B)),domain(C)) addition A -> A
% 6.27/6.49  Current number of equations to process: 1935
% 6.27/6.49  Current number of ordered equations: 1
% 6.27/6.49  Current number of rules: 445
% 6.27/6.49  New rule produced :
% 6.27/6.49  [510]
% 6.27/6.49  multiplication(multiplication(A,antidomain(B)),domain(C)) addition A -> A
% 6.27/6.49  Current number of equations to process: 1935
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 446
% 6.27/6.49  New rule produced :
% 6.27/6.49  [511] multiplication(multiplication(A,codomain(B)),domain(C)) addition A -> A
% 6.27/6.49  Current number of equations to process: 1933
% 6.27/6.49  Current number of ordered equations: 1
% 6.27/6.49  Current number of rules: 447
% 6.27/6.49  New rule produced :
% 6.27/6.49  [512]
% 6.27/6.49  multiplication(multiplication(A,coantidomain(B)),domain(C)) addition A -> A
% 6.27/6.49  Current number of equations to process: 1933
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 448
% 6.27/6.49  New rule produced :
% 6.27/6.49  [513] multiplication(multiplication(domain(A),B),domain(C)) addition B -> B
% 6.27/6.49  Current number of equations to process: 1931
% 6.27/6.49  Current number of ordered equations: 1
% 6.27/6.49  Current number of rules: 449
% 6.27/6.49  New rule produced :
% 6.27/6.49  [514]
% 6.27/6.49  multiplication(multiplication(antidomain(A),B),domain(C)) addition B -> B
% 6.27/6.49  Current number of equations to process: 1931
% 6.27/6.49  Current number of ordered equations: 0
% 6.27/6.49  Current number of rules: 450
% 6.27/6.49  New rule produced :
% 6.27/6.49  [515] multiplication(multiplication(codomain(A),B),domain(C)) addition B -> B
% 6.27/6.49  Current number of equations to process: 1929
% 6.27/6.49  Current number of ordered equations: 1
% 6.27/6.49  Current number of rules: 451
% 6.27/6.49  New rule produced :
% 6.27/6.49  [516]
% 6.27/6.49  multiplication(multiplication(coantidomain(A),B),domain(C)) addition B -> B
% 6.77/7.01  Current number of equations to process: 1929
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 452
% 6.77/7.01  New rule produced :
% 6.77/7.01  [517] c(A) addition multiplication(antidomain(A),domain(B)) -> c(A)
% 6.77/7.01  Current number of equations to process: 1928
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 453
% 6.77/7.01  New rule produced :
% 6.77/7.01  [518] one addition multiplication(domain(A),antidomain(B)) -> one
% 6.77/7.01  Current number of equations to process: 1937
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 454
% 6.77/7.01  New rule produced :
% 6.77/7.01  [519] one addition multiplication(domain(A),coantidomain(B)) -> one
% 6.77/7.01  Current number of equations to process: 1935
% 6.77/7.01  Current number of ordered equations: 1
% 6.77/7.01  Current number of rules: 455
% 6.77/7.01  New rule produced :
% 6.77/7.01  [520] one addition multiplication(domain(A),codomain(B)) -> one
% 6.77/7.01  Current number of equations to process: 1935
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 456
% 6.77/7.01  New rule produced :
% 6.77/7.01  [521]
% 6.77/7.01  one addition multiplication(domain(A),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 6.77/7.01  -> one
% 6.77/7.01  Current number of equations to process: 1952
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 457
% 6.77/7.01  New rule produced : [522] multiplication(c(A),B) addition B -> B
% 6.77/7.01  Current number of equations to process: 1957
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 458
% 6.77/7.01  New rule produced : [523] one addition multiplication(domain(A),c(B)) -> one
% 6.77/7.01  Current number of equations to process: 1956
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 459
% 6.77/7.01  New rule produced :
% 6.77/7.01  [524] one addition multiplication(domain(A),forward_diamond(B,C)) -> one
% 6.77/7.01  Current number of equations to process: 1989
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 460
% 6.77/7.01  New rule produced :
% 6.77/7.01  [525] multiplication(domain(A),multiplication(B,domain(C))) addition B -> B
% 6.77/7.01  Current number of equations to process: 2007
% 6.77/7.01  Current number of ordered equations: 1
% 6.77/7.01  Current number of rules: 461
% 6.77/7.01  New rule produced :
% 6.77/7.01  [526]
% 6.77/7.01  multiplication(domain(A),multiplication(B,antidomain(C))) addition B -> B
% 6.77/7.01  Current number of equations to process: 2007
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 462
% 6.77/7.01  New rule produced :
% 6.77/7.01  [527] multiplication(domain(A),multiplication(B,codomain(C))) addition B -> B
% 6.77/7.01  Current number of equations to process: 2005
% 6.77/7.01  Current number of ordered equations: 1
% 6.77/7.01  Current number of rules: 463
% 6.77/7.01  New rule produced :
% 6.77/7.01  [528]
% 6.77/7.01  multiplication(domain(A),multiplication(B,coantidomain(C))) addition B -> B
% 6.77/7.01  Current number of equations to process: 2005
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 464
% 6.77/7.01  New rule produced :
% 6.77/7.01  [529] multiplication(domain(A),multiplication(domain(B),C)) addition C -> C
% 6.77/7.01  Current number of equations to process: 2003
% 6.77/7.01  Current number of ordered equations: 1
% 6.77/7.01  Current number of rules: 465
% 6.77/7.01  New rule produced :
% 6.77/7.01  [530]
% 6.77/7.01  multiplication(domain(A),multiplication(antidomain(B),C)) addition C -> C
% 6.77/7.01  Current number of equations to process: 2003
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 466
% 6.77/7.01  New rule produced :
% 6.77/7.01  [531] multiplication(domain(A),multiplication(codomain(B),C)) addition C -> C
% 6.77/7.01  Current number of equations to process: 2001
% 6.77/7.01  Current number of ordered equations: 1
% 6.77/7.01  Current number of rules: 467
% 6.77/7.01  New rule produced :
% 6.77/7.01  [532]
% 6.77/7.01  multiplication(domain(A),multiplication(coantidomain(B),C)) addition C -> C
% 6.77/7.01  Current number of equations to process: 2001
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 468
% 6.77/7.01  New rule produced :
% 6.77/7.01  [533] c(A) addition multiplication(domain(B),antidomain(A)) -> c(A)
% 6.77/7.01  Current number of equations to process: 2000
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 469
% 6.77/7.01  New rule produced : [534] one addition backward_box(A,B) -> one
% 6.77/7.01  Rule [51] one addition backward_box(sK3_goals_X0,domain(sK1_goals_X2)) -> one
% 6.77/7.01  collapsed.
% 6.77/7.01  Current number of equations to process: 2001
% 6.77/7.01  Current number of ordered equations: 0
% 6.77/7.01  Current number of rules: 469
% 6.77/7.01  New rule produced :
% 6.77/7.01  [535] one addition multiplication(antidomain(A),antidomain(B)) -> one
% 6.77/7.01  Current number of equations to process: 2025
% 6.77/7.01  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 470
% 7.36/7.58  New rule produced :
% 7.36/7.58  [536] one addition multiplication(codomain(A),antidomain(B)) -> one
% 7.36/7.58  Current number of equations to process: 2023
% 7.36/7.58  Current number of ordered equations: 1
% 7.36/7.58  Current number of rules: 471
% 7.36/7.58  New rule produced :
% 7.36/7.58  [537] one addition multiplication(coantidomain(A),antidomain(B)) -> one
% 7.36/7.58  Current number of equations to process: 2023
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 472
% 7.36/7.58  New rule produced :
% 7.36/7.58  [538]
% 7.36/7.58  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 7.36/7.58               antidomain(A)) -> one
% 7.36/7.58  Current number of equations to process: 2039
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 473
% 7.36/7.58  New rule produced :
% 7.36/7.58  [539] one addition multiplication(c(A),antidomain(B)) -> one
% 7.36/7.58  Current number of equations to process: 2042
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 474
% 7.36/7.58  New rule produced :
% 7.36/7.58  [540] one addition multiplication(forward_diamond(A,B),antidomain(C)) -> one
% 7.36/7.58  Current number of equations to process: 2075
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 475
% 7.36/7.58  New rule produced :
% 7.36/7.58  [541]
% 7.36/7.58  multiplication(multiplication(A,domain(B)),antidomain(C)) addition A -> A
% 7.36/7.58  Current number of equations to process: 2094
% 7.36/7.58  Current number of ordered equations: 1
% 7.36/7.58  Current number of rules: 476
% 7.36/7.58  New rule produced :
% 7.36/7.58  [542]
% 7.36/7.58  multiplication(multiplication(A,antidomain(B)),antidomain(C)) addition A -> A
% 7.36/7.58  Current number of equations to process: 2094
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 477
% 7.36/7.58  New rule produced :
% 7.36/7.58  [543]
% 7.36/7.58  multiplication(multiplication(A,codomain(B)),antidomain(C)) addition A -> A
% 7.36/7.58  Current number of equations to process: 2092
% 7.36/7.58  Current number of ordered equations: 1
% 7.36/7.58  Current number of rules: 478
% 7.36/7.58  New rule produced :
% 7.36/7.58  [544]
% 7.36/7.58  multiplication(multiplication(A,coantidomain(B)),antidomain(C)) addition A ->
% 7.36/7.58  A
% 7.36/7.58  Current number of equations to process: 2092
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 479
% 7.36/7.58  New rule produced :
% 7.36/7.58  [545]
% 7.36/7.58  multiplication(multiplication(domain(A),B),antidomain(C)) addition B -> B
% 7.36/7.58  Current number of equations to process: 2090
% 7.36/7.58  Current number of ordered equations: 1
% 7.36/7.58  Current number of rules: 480
% 7.36/7.58  New rule produced :
% 7.36/7.58  [546]
% 7.36/7.58  multiplication(multiplication(antidomain(A),B),antidomain(C)) addition B -> B
% 7.36/7.58  Current number of equations to process: 2090
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 481
% 7.36/7.58  New rule produced :
% 7.36/7.58  [547]
% 7.36/7.58  multiplication(multiplication(codomain(A),B),antidomain(C)) addition B -> B
% 7.36/7.58  Current number of equations to process: 2088
% 7.36/7.58  Current number of ordered equations: 1
% 7.36/7.58  Current number of rules: 482
% 7.36/7.58  New rule produced :
% 7.36/7.58  [548]
% 7.36/7.58  multiplication(multiplication(coantidomain(A),B),antidomain(C)) addition B ->
% 7.36/7.58  B
% 7.36/7.58  Current number of equations to process: 2088
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 483
% 7.36/7.58  New rule produced :
% 7.36/7.58  [549] c(A) addition multiplication(antidomain(A),antidomain(B)) -> c(A)
% 7.36/7.58  Current number of equations to process: 2087
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 484
% 7.36/7.58  New rule produced :
% 7.36/7.58  [550] one addition multiplication(antidomain(A),codomain(B)) -> one
% 7.36/7.58  Current number of equations to process: 2093
% 7.36/7.58  Current number of ordered equations: 1
% 7.36/7.58  Current number of rules: 485
% 7.36/7.58  New rule produced :
% 7.36/7.58  [551] one addition multiplication(antidomain(A),coantidomain(B)) -> one
% 7.36/7.58  Current number of equations to process: 2093
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 486
% 7.36/7.58  New rule produced :
% 7.36/7.58  [552]
% 7.36/7.58  one addition multiplication(antidomain(A),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 7.36/7.58  -> one
% 7.36/7.58  Current number of equations to process: 2110
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 487
% 7.36/7.58  New rule produced :
% 7.36/7.58  [553] one addition multiplication(antidomain(A),c(B)) -> one
% 7.36/7.58  Current number of equations to process: 2113
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 488
% 7.36/7.58  New rule produced :
% 7.36/7.58  [554] one addition multiplication(antidomain(A),forward_diamond(B,C)) -> one
% 7.36/7.58  Current number of equations to process: 2146
% 7.36/7.58  Current number of ordered equations: 0
% 7.36/7.58  Current number of rules: 489
% 7.36/7.58  New rule produced :
% 7.81/8.05  [555]
% 7.81/8.05  multiplication(antidomain(A),multiplication(B,domain(C))) addition B -> B
% 7.81/8.05  Current number of equations to process: 2165
% 7.81/8.05  Current number of ordered equations: 1
% 7.81/8.05  Current number of rules: 490
% 7.81/8.05  New rule produced :
% 7.81/8.05  [556]
% 7.81/8.05  multiplication(antidomain(A),multiplication(B,antidomain(C))) addition B -> B
% 7.81/8.05  Current number of equations to process: 2165
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 491
% 7.81/8.05  New rule produced :
% 7.81/8.05  [557]
% 7.81/8.05  multiplication(antidomain(A),multiplication(B,codomain(C))) addition B -> B
% 7.81/8.05  Current number of equations to process: 2163
% 7.81/8.05  Current number of ordered equations: 1
% 7.81/8.05  Current number of rules: 492
% 7.81/8.05  New rule produced :
% 7.81/8.05  [558]
% 7.81/8.05  multiplication(antidomain(A),multiplication(B,coantidomain(C))) addition B ->
% 7.81/8.05  B
% 7.81/8.05  Current number of equations to process: 2163
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 493
% 7.81/8.05  New rule produced :
% 7.81/8.05  [559]
% 7.81/8.05  multiplication(antidomain(A),multiplication(domain(B),C)) addition C -> C
% 7.81/8.05  Current number of equations to process: 2161
% 7.81/8.05  Current number of ordered equations: 1
% 7.81/8.05  Current number of rules: 494
% 7.81/8.05  New rule produced :
% 7.81/8.05  [560]
% 7.81/8.05  multiplication(antidomain(A),multiplication(antidomain(B),C)) addition C -> C
% 7.81/8.05  Current number of equations to process: 2161
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 495
% 7.81/8.05  New rule produced :
% 7.81/8.05  [561]
% 7.81/8.05  multiplication(antidomain(A),multiplication(codomain(B),C)) addition C -> C
% 7.81/8.05  Current number of equations to process: 2159
% 7.81/8.05  Current number of ordered equations: 1
% 7.81/8.05  Current number of rules: 496
% 7.81/8.05  New rule produced :
% 7.81/8.05  [562]
% 7.81/8.05  multiplication(antidomain(A),multiplication(coantidomain(B),C)) addition C ->
% 7.81/8.05  C
% 7.81/8.05  Current number of equations to process: 2159
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 497
% 7.81/8.05  New rule produced :
% 7.81/8.05  [563] c(A) addition multiplication(antidomain(B),antidomain(A)) -> c(A)
% 7.81/8.05  Current number of equations to process: 2158
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 498
% 7.81/8.05  New rule produced :
% 7.81/8.05  [564] multiplication(A,backward_diamond(B,C)) addition A -> A
% 7.81/8.05  Current number of equations to process: 2173
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 499
% 7.81/8.05  New rule produced :
% 7.81/8.05  [565] multiplication(backward_diamond(B,C),A) addition A -> A
% 7.81/8.05  Current number of equations to process: 2172
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 500
% 7.81/8.05  New rule produced :
% 7.81/8.05  [566] one addition multiplication(coantidomain(A),codomain(B)) -> one
% 7.81/8.05  Current number of equations to process: 2192
% 7.81/8.05  Current number of ordered equations: 1
% 7.81/8.05  Current number of rules: 501
% 7.81/8.05  New rule produced :
% 7.81/8.05  [567] one addition multiplication(codomain(A),codomain(B)) -> one
% 7.81/8.05  Current number of equations to process: 2192
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 502
% 7.81/8.05  New rule produced :
% 7.81/8.05  [568] one addition multiplication(backward_diamond(A,B),domain(C)) -> one
% 7.81/8.05  Current number of equations to process: 2208
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 503
% 7.81/8.05  New rule produced :
% 7.81/8.05  [569] one addition multiplication(domain(A),backward_diamond(B,C)) -> one
% 7.81/8.05  Current number of equations to process: 2207
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 504
% 7.81/8.05  New rule produced :
% 7.81/8.05  [570] one addition multiplication(backward_diamond(A,B),antidomain(C)) -> one
% 7.81/8.05  Current number of equations to process: 2206
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 505
% 7.81/8.05  New rule produced :
% 7.81/8.05  [571] one addition multiplication(antidomain(A),backward_diamond(B,C)) -> one
% 7.81/8.05  Current number of equations to process: 2205
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 506
% 7.81/8.05  New rule produced :
% 7.81/8.05  [572]
% 7.81/8.05  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 7.81/8.05               codomain(A)) -> one
% 7.81/8.05  Current number of equations to process: 2204
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 507
% 7.81/8.05  New rule produced :
% 7.81/8.05  [573] one addition multiplication(c(A),codomain(B)) -> one
% 7.81/8.05  Current number of equations to process: 2207
% 7.81/8.05  Current number of ordered equations: 0
% 7.81/8.05  Current number of rules: 508
% 7.81/8.05  New rule produced :
% 7.81/8.05  [574] one addition multiplication(forward_diamond(A,B),codomain(C)) -> one
% 7.81/8.05  Current number of equations to process: 2240
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 509
% 8.39/8.59  New rule produced :
% 8.39/8.59  [575] multiplication(multiplication(A,domain(B)),codomain(C)) addition A -> A
% 8.39/8.59  Current number of equations to process: 2259
% 8.39/8.59  Current number of ordered equations: 1
% 8.39/8.59  Current number of rules: 510
% 8.39/8.59  New rule produced :
% 8.39/8.59  [576]
% 8.39/8.59  multiplication(multiplication(A,antidomain(B)),codomain(C)) addition A -> A
% 8.39/8.59  Current number of equations to process: 2259
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 511
% 8.39/8.59  New rule produced :
% 8.39/8.59  [577]
% 8.39/8.59  multiplication(multiplication(A,codomain(B)),codomain(C)) addition A -> A
% 8.39/8.59  Current number of equations to process: 2257
% 8.39/8.59  Current number of ordered equations: 1
% 8.39/8.59  Current number of rules: 512
% 8.39/8.59  New rule produced :
% 8.39/8.59  [578]
% 8.39/8.59  multiplication(multiplication(A,coantidomain(B)),codomain(C)) addition A -> A
% 8.39/8.59  Current number of equations to process: 2257
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 513
% 8.39/8.59  New rule produced :
% 8.39/8.59  [579] multiplication(multiplication(domain(A),B),codomain(C)) addition B -> B
% 8.39/8.59  Current number of equations to process: 2255
% 8.39/8.59  Current number of ordered equations: 1
% 8.39/8.59  Current number of rules: 514
% 8.39/8.59  New rule produced :
% 8.39/8.59  [580]
% 8.39/8.59  multiplication(multiplication(antidomain(A),B),codomain(C)) addition B -> B
% 8.39/8.59  Current number of equations to process: 2255
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 515
% 8.39/8.59  New rule produced :
% 8.39/8.59  [581]
% 8.39/8.59  multiplication(multiplication(codomain(A),B),codomain(C)) addition B -> B
% 8.39/8.59  Current number of equations to process: 2253
% 8.39/8.59  Current number of ordered equations: 1
% 8.39/8.59  Current number of rules: 516
% 8.39/8.59  New rule produced :
% 8.39/8.59  [582]
% 8.39/8.59  multiplication(multiplication(coantidomain(A),B),codomain(C)) addition B -> B
% 8.39/8.59  Current number of equations to process: 2253
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 517
% 8.39/8.59  New rule produced :
% 8.39/8.59  [583] c(A) addition multiplication(antidomain(A),codomain(B)) -> c(A)
% 8.39/8.59  Current number of equations to process: 2252
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 518
% 8.39/8.59  New rule produced :
% 8.39/8.59  [584] one addition multiplication(codomain(A),coantidomain(B)) -> one
% 8.39/8.59  Current number of equations to process: 2259
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 519
% 8.39/8.59  New rule produced :
% 8.39/8.59  [585] one addition multiplication(backward_diamond(A,B),codomain(C)) -> one
% 8.39/8.59  Current number of equations to process: 2276
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 520
% 8.39/8.59  New rule produced :
% 8.39/8.59  [586]
% 8.39/8.59  one addition multiplication(codomain(A),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 8.39/8.59  -> one
% 8.39/8.59  Current number of equations to process: 2275
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 521
% 8.39/8.59  New rule produced :
% 8.39/8.59  [587] one addition multiplication(codomain(A),c(B)) -> one
% 8.39/8.59  Current number of equations to process: 2278
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 522
% 8.39/8.59  New rule produced :
% 8.39/8.59  [588] one addition multiplication(codomain(A),forward_diamond(B,C)) -> one
% 8.39/8.59  Current number of equations to process: 2311
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 523
% 8.39/8.59  New rule produced :
% 8.39/8.59  [589] multiplication(codomain(A),multiplication(B,domain(C))) addition B -> B
% 8.39/8.59  Current number of equations to process: 2330
% 8.39/8.59  Current number of ordered equations: 1
% 8.39/8.59  Current number of rules: 524
% 8.39/8.59  New rule produced :
% 8.39/8.59  [590]
% 8.39/8.59  multiplication(codomain(A),multiplication(B,antidomain(C))) addition B -> B
% 8.39/8.59  Current number of equations to process: 2330
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 525
% 8.39/8.59  New rule produced :
% 8.39/8.59  [591]
% 8.39/8.59  multiplication(codomain(A),multiplication(B,coantidomain(C))) addition B -> B
% 8.39/8.59  Current number of equations to process: 2328
% 8.39/8.59  Current number of ordered equations: 1
% 8.39/8.59  Current number of rules: 526
% 8.39/8.59  New rule produced :
% 8.39/8.59  [592]
% 8.39/8.59  multiplication(codomain(A),multiplication(B,codomain(C))) addition B -> B
% 8.39/8.59  Current number of equations to process: 2328
% 8.39/8.59  Current number of ordered equations: 0
% 8.39/8.59  Current number of rules: 527
% 8.39/8.59  New rule produced :
% 8.39/8.59  [593] multiplication(codomain(A),multiplication(domain(B),C)) addition C -> C
% 8.39/8.59  Current number of equations to process: 2326
% 8.39/8.59  Current number of ordered equations: 1
% 9.11/9.33  Current number of rules: 528
% 9.11/9.33  New rule produced :
% 9.11/9.33  [594]
% 9.11/9.33  multiplication(codomain(A),multiplication(antidomain(B),C)) addition C -> C
% 9.11/9.33  Current number of equations to process: 2326
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 529
% 9.11/9.33  New rule produced :
% 9.11/9.33  [595]
% 9.11/9.33  multiplication(codomain(A),multiplication(codomain(B),C)) addition C -> C
% 9.11/9.33  Current number of equations to process: 2324
% 9.11/9.33  Current number of ordered equations: 1
% 9.11/9.33  Current number of rules: 530
% 9.11/9.33  New rule produced :
% 9.11/9.33  [596]
% 9.11/9.33  multiplication(codomain(A),multiplication(coantidomain(B),C)) addition C -> C
% 9.11/9.33  Current number of equations to process: 2324
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 531
% 9.11/9.33  New rule produced :
% 9.11/9.33  [597] c(A) addition multiplication(codomain(B),antidomain(A)) -> c(A)
% 9.11/9.33  Current number of equations to process: 2323
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 532
% 9.11/9.33  New rule produced :
% 9.11/9.33  [598] one addition multiplication(codomain(A),backward_diamond(B,C)) -> one
% 9.11/9.33  Current number of equations to process: 2324
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 533
% 9.11/9.33  New rule produced :
% 9.11/9.33  [599] one addition multiplication(coantidomain(A),coantidomain(B)) -> one
% 9.11/9.33  Current number of equations to process: 2329
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 534
% 9.11/9.33  New rule produced :
% 9.11/9.33  [600]
% 9.11/9.33  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 9.11/9.33               coantidomain(A)) -> one
% 9.11/9.33  Current number of equations to process: 2345
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 535
% 9.11/9.33  New rule produced :
% 9.11/9.33  [601] one addition multiplication(c(A),coantidomain(B)) -> one
% 9.11/9.33  Current number of equations to process: 2348
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 536
% 9.11/9.33  New rule produced :
% 9.11/9.33  [602]
% 9.11/9.33  one addition multiplication(forward_diamond(A,B),coantidomain(C)) -> one
% 9.11/9.33  Current number of equations to process: 2381
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 537
% 9.11/9.33  New rule produced :
% 9.11/9.33  [603]
% 9.11/9.33  multiplication(multiplication(A,domain(B)),coantidomain(C)) addition A -> A
% 9.11/9.33  Current number of equations to process: 2400
% 9.11/9.33  Current number of ordered equations: 1
% 9.11/9.33  Current number of rules: 538
% 9.11/9.33  New rule produced :
% 9.11/9.33  [604]
% 9.11/9.33  multiplication(multiplication(A,antidomain(B)),coantidomain(C)) addition A ->
% 9.11/9.33  A
% 9.11/9.33  Current number of equations to process: 2400
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 539
% 9.11/9.33  New rule produced :
% 9.11/9.33  [605]
% 9.11/9.33  multiplication(multiplication(A,codomain(B)),coantidomain(C)) addition A -> A
% 9.11/9.33  Current number of equations to process: 2398
% 9.11/9.33  Current number of ordered equations: 1
% 9.11/9.33  Current number of rules: 540
% 9.11/9.33  New rule produced :
% 9.11/9.33  [606]
% 9.11/9.33  multiplication(multiplication(A,coantidomain(B)),coantidomain(C)) addition A
% 9.11/9.33  -> A
% 9.11/9.33  Current number of equations to process: 2398
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 541
% 9.11/9.33  New rule produced :
% 9.11/9.33  [607]
% 9.11/9.33  multiplication(multiplication(domain(A),B),coantidomain(C)) addition B -> B
% 9.11/9.33  Current number of equations to process: 2396
% 9.11/9.33  Current number of ordered equations: 1
% 9.11/9.33  Current number of rules: 542
% 9.11/9.33  New rule produced :
% 9.11/9.33  [608]
% 9.11/9.33  multiplication(multiplication(antidomain(A),B),coantidomain(C)) addition B ->
% 9.11/9.33  B
% 9.11/9.33  Current number of equations to process: 2396
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 543
% 9.11/9.33  New rule produced :
% 9.11/9.33  [609]
% 9.11/9.33  multiplication(multiplication(codomain(A),B),coantidomain(C)) addition B -> B
% 9.11/9.33  Current number of equations to process: 2394
% 9.11/9.33  Current number of ordered equations: 1
% 9.11/9.33  Current number of rules: 544
% 9.11/9.33  New rule produced :
% 9.11/9.33  [610]
% 9.11/9.33  multiplication(multiplication(coantidomain(A),B),coantidomain(C)) addition B
% 9.11/9.33  -> B
% 9.11/9.33  Current number of equations to process: 2394
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 545
% 9.11/9.33  New rule produced :
% 9.11/9.33  [611] c(A) addition multiplication(antidomain(A),coantidomain(B)) -> c(A)
% 9.11/9.33  Current number of equations to process: 2393
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 546
% 9.11/9.33  New rule produced :
% 9.11/9.33  [612]
% 9.11/9.33  one addition multiplication(backward_diamond(A,B),coantidomain(C)) -> one
% 9.11/9.33  Current number of equations to process: 2416
% 9.11/9.33  Current number of ordered equations: 0
% 9.11/9.33  Current number of rules: 547
% 9.60/9.84  New rule produced :
% 9.60/9.84  [613]
% 9.60/9.84  one addition multiplication(coantidomain(A),backward_box(sK3_goals_X0,
% 9.60/9.84                                              domain(sK1_goals_X2))) -> one
% 9.60/9.84  Current number of equations to process: 2415
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 548
% 9.60/9.84  New rule produced :
% 9.60/9.84  [614] one addition multiplication(coantidomain(A),c(B)) -> one
% 9.60/9.84  Current number of equations to process: 2418
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 549
% 9.60/9.84  New rule produced :
% 9.60/9.84  [615]
% 9.60/9.84  one addition multiplication(coantidomain(A),forward_diamond(B,C)) -> one
% 9.60/9.84  Current number of equations to process: 2451
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 550
% 9.60/9.84  New rule produced :
% 9.60/9.84  [616]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(B,domain(C))) addition B -> B
% 9.60/9.84  Current number of equations to process: 2470
% 9.60/9.84  Current number of ordered equations: 1
% 9.60/9.84  Current number of rules: 551
% 9.60/9.84  New rule produced :
% 9.60/9.84  [617]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(B,antidomain(C))) addition B ->
% 9.60/9.84  B
% 9.60/9.84  Current number of equations to process: 2470
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 552
% 9.60/9.84  New rule produced :
% 9.60/9.84  [618]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(B,coantidomain(C))) addition B
% 9.60/9.84  -> B
% 9.60/9.84  Current number of equations to process: 2468
% 9.60/9.84  Current number of ordered equations: 1
% 9.60/9.84  Current number of rules: 553
% 9.60/9.84  New rule produced :
% 9.60/9.84  [619]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(B,codomain(C))) addition B -> B
% 9.60/9.84  Current number of equations to process: 2468
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 554
% 9.60/9.84  New rule produced :
% 9.60/9.84  [620]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(domain(B),C)) addition C -> C
% 9.60/9.84  Current number of equations to process: 2466
% 9.60/9.84  Current number of ordered equations: 1
% 9.60/9.84  Current number of rules: 555
% 9.60/9.84  New rule produced :
% 9.60/9.84  [621]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(antidomain(B),C)) addition C ->
% 9.60/9.84  C
% 9.60/9.84  Current number of equations to process: 2466
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 556
% 9.60/9.84  New rule produced :
% 9.60/9.84  [622]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(codomain(B),C)) addition C -> C
% 9.60/9.84  Current number of equations to process: 2464
% 9.60/9.84  Current number of ordered equations: 1
% 9.60/9.84  Current number of rules: 557
% 9.60/9.84  New rule produced :
% 9.60/9.84  [623]
% 9.60/9.84  multiplication(coantidomain(A),multiplication(coantidomain(B),C)) addition C
% 9.60/9.84  -> C
% 9.60/9.84  Current number of equations to process: 2464
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 558
% 9.60/9.84  New rule produced :
% 9.60/9.84  [624] c(A) addition multiplication(coantidomain(B),antidomain(A)) -> c(A)
% 9.60/9.84  Current number of equations to process: 2463
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 559
% 9.60/9.84  New rule produced :
% 9.60/9.84  [625]
% 9.60/9.84  one addition multiplication(coantidomain(A),backward_diamond(B,C)) -> one
% 9.60/9.84  Current number of equations to process: 2464
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 560
% 9.60/9.84  Rule [321]
% 9.60/9.84       domain(B) addition multiplication(domain(A),antidomain(B)) <->
% 9.60/9.84       domain(A) addition multiplication(antidomain(A),domain(B)) is composed into 
% 9.60/9.84  [321]
% 9.60/9.84  domain(B) addition multiplication(domain(A),antidomain(B)) ->
% 9.60/9.84  domain(A) addition domain(B)
% 9.60/9.84  New rule produced :
% 9.60/9.84  [626]
% 9.60/9.84  domain(A) addition multiplication(antidomain(A),domain(B)) ->
% 9.60/9.84  domain(A) addition domain(B)
% 9.60/9.84  Rule
% 9.60/9.84  [318]
% 9.60/9.84  domain(A) addition multiplication(antidomain(A),domain(B)) <->
% 9.60/9.84  domain(B) addition multiplication(domain(A),antidomain(B)) collapsed.
% 9.60/9.84  Current number of equations to process: 2458
% 9.60/9.84  Current number of ordered equations: 1
% 9.60/9.84  Current number of rules: 560
% 9.60/9.84  Rule [322]
% 9.60/9.84       domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.60/9.84       antidomain(A) addition multiplication(domain(A),domain(B)) is composed into 
% 9.60/9.84  [322]
% 9.60/9.84  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.60/9.84  domain(B) addition antidomain(A)
% 9.60/9.84  New rule produced :
% 9.60/9.84  [627]
% 9.60/9.84  antidomain(B) addition multiplication(domain(B),domain(A)) ->
% 9.60/9.84  domain(A) addition antidomain(B)
% 9.60/9.84  Current number of equations to process: 2458
% 9.60/9.84  Current number of ordered equations: 0
% 9.60/9.84  Current number of rules: 561
% 9.60/9.84  Rule [333]
% 9.60/9.84       domain(B) addition multiplication(codomain(A),antidomain(B)) <->
% 9.60/9.84       codomain(A) addition multiplication(coantidomain(A),domain(B)) is composed into 
% 9.71/9.90  [333]
% 9.71/9.90  domain(B) addition multiplication(codomain(A),antidomain(B)) ->
% 9.71/9.90  codomain(A) addition domain(B)
% 9.71/9.90  New rule produced :
% 9.71/9.90  [628]
% 9.71/9.90  codomain(A) addition multiplication(coantidomain(A),domain(B)) ->
% 9.71/9.90  codomain(A) addition domain(B)
% 9.71/9.90  Rule
% 9.71/9.90  [330]
% 9.71/9.90  codomain(A) addition multiplication(coantidomain(A),domain(B)) <->
% 9.71/9.90  domain(B) addition multiplication(codomain(A),antidomain(B)) collapsed.
% 9.71/9.90  Current number of equations to process: 2456
% 9.71/9.90  Current number of ordered equations: 1
% 9.71/9.90  Current number of rules: 561
% 9.71/9.90  Rule [334]
% 9.71/9.90       domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 9.71/9.90       coantidomain(A) addition multiplication(codomain(A),domain(B)) is composed into 
% 9.71/9.90  [334]
% 9.71/9.90  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 9.71/9.90  coantidomain(A) addition domain(B)
% 9.71/9.90  New rule produced :
% 9.71/9.90  [629]
% 9.71/9.90  coantidomain(A) addition multiplication(codomain(A),domain(B)) ->
% 9.71/9.90  coantidomain(A) addition domain(B)
% 9.71/9.90  Current number of equations to process: 2456
% 9.71/9.90  Current number of ordered equations: 0
% 9.71/9.90  Current number of rules: 562
% 9.71/9.90  Rule [319]
% 9.71/9.90       domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.71/9.90       antidomain(B) addition multiplication(domain(A),domain(B)) is composed into 
% 9.71/9.90  [319]
% 9.71/9.90  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 9.71/9.90  domain(A) addition antidomain(B)
% 9.71/9.90  New rule produced :
% 9.71/9.90  [630]
% 9.71/9.90  antidomain(B) addition multiplication(domain(A),domain(B)) ->
% 9.71/9.90  domain(A) addition antidomain(B)
% 9.71/9.90  Current number of equations to process: 2450
% 9.71/9.90  Current number of ordered equations: 0
% 9.71/9.90  Current number of rules: 563
% 9.71/9.90  Rule [324]
% 9.71/9.90       domain(A) addition multiplication(antidomain(A),codomain(B)) <->
% 9.71/9.90       codomain(B) addition multiplication(domain(A),coantidomain(B)) is composed into 
% 9.71/9.90  [324]
% 9.71/9.90  domain(A) addition multiplication(antidomain(A),codomain(B)) ->
% 9.71/9.90  codomain(B) addition domain(A)
% 9.71/9.90  New rule produced :
% 9.71/9.90  [631]
% 9.71/9.90  codomain(A) addition multiplication(domain(B),coantidomain(A)) ->
% 9.71/9.90  codomain(A) addition domain(B)
% 9.71/9.90  Rule
% 9.71/9.90  [327]
% 9.71/9.90  codomain(B) addition multiplication(domain(A),coantidomain(B)) <->
% 9.71/9.90  domain(A) addition multiplication(antidomain(A),codomain(B)) collapsed.
% 9.71/9.90  Current number of equations to process: 2448
% 9.71/9.90  Current number of ordered equations: 1
% 9.71/9.90  Current number of rules: 563
% 9.71/9.90  Rule [325]
% 9.71/9.90       domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 9.71/9.90       coantidomain(B) addition multiplication(domain(A),codomain(B)) is composed into 
% 9.71/9.90  [325]
% 9.71/9.90  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 9.71/9.90  coantidomain(B) addition domain(A)
% 9.71/9.90  New rule produced :
% 9.71/9.90  [632]
% 9.71/9.90  coantidomain(A) addition multiplication(domain(B),codomain(A)) ->
% 9.71/9.90  coantidomain(A) addition domain(B)
% 9.71/9.90  Current number of equations to process: 2448
% 9.71/9.90  Current number of ordered equations: 0
% 9.71/9.90  Current number of rules: 564
% 9.71/9.90  Rule [323]
% 9.71/9.90       antidomain(B) addition multiplication(antidomain(A),domain(B)) <->
% 9.71/9.90       antidomain(A) addition multiplication(domain(A),antidomain(B)) is composed into 
% 9.71/9.90  [323]
% 9.71/9.90  antidomain(B) addition multiplication(antidomain(A),domain(B)) ->
% 9.71/9.90  antidomain(A) addition antidomain(B)
% 9.71/9.90  New rule produced :
% 9.71/9.90  [633]
% 9.71/9.90  antidomain(A) addition multiplication(domain(A),antidomain(B)) ->
% 9.71/9.90  antidomain(A) addition antidomain(B)
% 9.71/9.90  Rule
% 9.71/9.90  [320]
% 9.71/9.90  antidomain(A) addition multiplication(domain(A),antidomain(B)) <->
% 9.71/9.90  antidomain(B) addition multiplication(antidomain(A),domain(B)) collapsed.
% 9.71/9.90  Current number of equations to process: 2442
% 9.71/9.90  Current number of ordered equations: 0
% 9.71/9.90  Current number of rules: 564
% 9.71/9.90  Rule [335]
% 9.71/9.90       antidomain(B) addition multiplication(coantidomain(A),domain(B)) <->
% 9.71/9.90       coantidomain(A) addition multiplication(codomain(A),antidomain(B)) is composed into 
% 9.71/9.90  [335]
% 9.71/9.90  antidomain(B) addition multiplication(coantidomain(A),domain(B)) ->
% 9.71/9.90  coantidomain(A) addition antidomain(B)
% 9.71/9.90  New rule produced :
% 9.71/9.90  [634]
% 9.71/9.90  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) ->
% 9.71/9.90  coantidomain(A) addition antidomain(B)
% 9.71/9.90  Rule
% 9.71/9.90  [332]
% 9.71/9.90  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) <->
% 9.71/9.90  antidomain(B) addition multiplication(coantidomain(A),domain(B)) collapsed.
% 9.71/9.90  Current number of equations to process: 2440
% 9.71/9.90  Current number of ordered equations: 1
% 9.72/9.96  Current number of rules: 564
% 9.72/9.96  Rule [331]
% 9.72/9.96       codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 9.72/9.96       antidomain(B) addition multiplication(codomain(A),domain(B)) is composed into 
% 9.72/9.96  [331]
% 9.72/9.96  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 9.72/9.96  codomain(A) addition antidomain(B)
% 9.72/9.96  New rule produced :
% 9.72/9.96  [635]
% 9.72/9.96  antidomain(B) addition multiplication(codomain(A),domain(B)) ->
% 9.72/9.96  codomain(A) addition antidomain(B)
% 9.72/9.96  Current number of equations to process: 2440
% 9.72/9.96  Current number of ordered equations: 0
% 9.72/9.96  Current number of rules: 565
% 9.72/9.96  Rule [326]
% 9.72/9.96       antidomain(A) addition multiplication(domain(A),coantidomain(B)) <->
% 9.72/9.96       coantidomain(B) addition multiplication(antidomain(A),codomain(B)) is composed into 
% 9.72/9.96  [326]
% 9.72/9.96  antidomain(A) addition multiplication(domain(A),coantidomain(B)) ->
% 9.72/9.96  coantidomain(B) addition antidomain(A)
% 9.72/9.96  New rule produced :
% 9.72/9.96  [636]
% 9.72/9.96  coantidomain(A) addition multiplication(antidomain(B),codomain(A)) ->
% 9.72/9.96  coantidomain(A) addition antidomain(B)
% 9.72/9.96  Rule
% 9.72/9.96  [329]
% 9.72/9.96  coantidomain(B) addition multiplication(antidomain(A),codomain(B)) <->
% 9.72/9.96  antidomain(A) addition multiplication(domain(A),coantidomain(B)) collapsed.
% 9.72/9.96  Current number of equations to process: 2433
% 9.72/9.96  Current number of ordered equations: 1
% 9.72/9.96  Current number of rules: 565
% 9.72/9.96  Rule [328]
% 9.72/9.96       codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 9.72/9.96       antidomain(A) addition multiplication(domain(A),codomain(B)) is composed into 
% 9.72/9.96  [328]
% 9.72/9.96  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 9.72/9.96  codomain(B) addition antidomain(A)
% 9.72/9.96  New rule produced :
% 9.72/9.96  [637]
% 9.72/9.96  antidomain(B) addition multiplication(domain(B),codomain(A)) ->
% 9.72/9.96  codomain(A) addition antidomain(B)
% 9.72/9.96  Current number of equations to process: 2433
% 9.72/9.96  Current number of ordered equations: 0
% 9.72/9.96  Current number of rules: 566
% 9.72/9.96  Rule [339]
% 9.72/9.96       codomain(B) addition multiplication(codomain(A),coantidomain(B)) <->
% 9.72/9.96       codomain(A) addition multiplication(coantidomain(A),codomain(B)) is composed into 
% 9.72/9.96  [339]
% 9.72/9.96  codomain(B) addition multiplication(codomain(A),coantidomain(B)) ->
% 9.72/9.96  codomain(A) addition codomain(B)
% 9.72/9.96  New rule produced :
% 9.72/9.96  [638]
% 9.72/9.96  codomain(A) addition multiplication(coantidomain(A),codomain(B)) ->
% 9.72/9.96  codomain(A) addition codomain(B)
% 9.72/9.96  Rule
% 9.72/9.96  [336]
% 9.72/9.96  codomain(A) addition multiplication(coantidomain(A),codomain(B)) <->
% 9.72/9.96  codomain(B) addition multiplication(codomain(A),coantidomain(B)) collapsed.
% 9.72/9.96  Current number of equations to process: 2426
% 9.72/9.96  Current number of ordered equations: 1
% 9.72/9.96  Current number of rules: 566
% 9.72/9.96  Rule [340]
% 9.72/9.96       codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 9.72/9.96       coantidomain(A) addition multiplication(codomain(A),codomain(B)) is composed into 
% 9.72/9.96  [340]
% 9.72/9.96  codomain(B) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 9.72/9.96  codomain(B) addition coantidomain(A)
% 9.72/9.96  New rule produced :
% 9.72/9.96  [639]
% 9.72/9.96  coantidomain(B) addition multiplication(codomain(B),codomain(A)) ->
% 9.72/9.96  codomain(A) addition coantidomain(B)
% 9.72/9.96  Current number of equations to process: 2426
% 9.72/9.96  Current number of ordered equations: 0
% 9.72/9.96  Current number of rules: 567
% 9.72/9.96  Rule [337]
% 9.72/9.96       codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 9.72/9.96       coantidomain(B) addition multiplication(codomain(A),codomain(B)) is composed into 
% 9.72/9.96  [337]
% 9.72/9.96  codomain(A) addition multiplication(coantidomain(A),coantidomain(B)) ->
% 9.72/9.96  codomain(A) addition coantidomain(B)
% 9.72/9.96  New rule produced :
% 9.72/9.96  [640]
% 9.72/9.96  coantidomain(B) addition multiplication(codomain(A),codomain(B)) ->
% 9.72/9.96  codomain(A) addition coantidomain(B)
% 9.72/9.96  Current number of equations to process: 2420
% 9.72/9.96  Current number of ordered equations: 0
% 9.72/9.96  Current number of rules: 568
% 9.72/9.96  Rule [341]
% 9.72/9.96       coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) <->
% 9.72/9.96       coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) is composed into 
% 9.72/9.96  [341]
% 9.72/9.96  coantidomain(B) addition multiplication(coantidomain(A),codomain(B)) ->
% 9.72/9.96  coantidomain(A) addition coantidomain(B)
% 9.72/9.96  New rule produced :
% 9.72/9.96  [641]
% 9.72/9.96  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) ->
% 9.72/9.96  coantidomain(A) addition coantidomain(B)
% 9.72/9.96  Rule
% 9.72/9.96  [338]
% 9.72/9.96  coantidomain(A) addition multiplication(codomain(A),coantidomain(B)) <->
% 9.72/9.96  coantidomain(B) addition multiplication(coantidomain(A),codomain(B))
% 9.90/10.13  collapsed.
% 9.90/10.13  Current number of equations to process: 2414
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 568
% 9.90/10.13  New rule produced :
% 9.90/10.13  [642]
% 9.90/10.13  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 9.90/10.13  backward_diamond(B,C)) -> zero
% 9.90/10.13  Current number of equations to process: 2408
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 569
% 9.90/10.13  New rule produced :
% 9.90/10.13  [643]
% 9.90/10.13  multiplication(multiplication(A,coantidomain(B)),codomain(codomain(B))) ->
% 9.90/10.13  zero
% 9.90/10.13  Current number of equations to process: 2412
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 570
% 9.90/10.13  New rule produced :
% 9.90/10.13  [644]
% 9.90/10.13  multiplication(multiplication(A,coantidomain(B)),coantidomain(B)) ->
% 9.90/10.13  multiplication(A,coantidomain(B))
% 9.90/10.13  Current number of equations to process: 2415
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 571
% 9.90/10.13  New rule produced :
% 9.90/10.13  [645]
% 9.90/10.13  antidomain(multiplication(multiplication(A,coantidomain(B)),domain(codomain(B))))
% 9.90/10.13  -> one
% 9.90/10.13  Current number of equations to process: 2414
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 572
% 9.90/10.13  New rule produced :
% 9.90/10.13  [646]
% 9.90/10.13  multiplication(coantidomain(backward_diamond(A,B)),multiplication(backward_diamond(A,B),C))
% 9.90/10.13  -> zero
% 9.90/10.13  Current number of equations to process: 2416
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 573
% 9.90/10.13  New rule produced :
% 9.90/10.13  [647]
% 9.90/10.13  multiplication(coantidomain(A),multiplication(codomain(codomain(A)),B)) ->
% 9.90/10.13  zero
% 9.90/10.13  Current number of equations to process: 2420
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 574
% 9.90/10.13  New rule produced :
% 9.90/10.13  [648]
% 9.90/10.13  multiplication(codomain(A),multiplication(codomain(A),B)) ->
% 9.90/10.13  multiplication(codomain(A),B)
% 9.90/10.13  Current number of equations to process: 2421
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 575
% 9.90/10.13  New rule produced :
% 9.90/10.13  [649]
% 9.90/10.13  antidomain(multiplication(coantidomain(A),domain(multiplication(codomain(A),B))))
% 9.90/10.13  -> one
% 9.90/10.13  Current number of equations to process: 2420
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 576
% 9.90/10.13  New rule produced :
% 9.90/10.13  [650]
% 9.90/10.13  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,A)) addition C)
% 9.90/10.13  -> true
% 9.90/10.13  Current number of equations to process: 2420
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 577
% 9.90/10.13  New rule produced :
% 9.90/10.13  [651]
% 9.90/10.13  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(domain(B))))
% 9.90/10.13  -> one
% 9.90/10.13  Current number of equations to process: 2418
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 578
% 9.90/10.13  New rule produced :
% 9.90/10.13  [652]
% 9.90/10.13  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,
% 9.90/10.13                                                       c(domain(B)))) -> one
% 9.90/10.13  Current number of equations to process: 2417
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 579
% 9.90/10.13  New rule produced :
% 9.90/10.13  [653]
% 9.90/10.13  c(multiplication(A,antidomain(backward_box(B,C)))) ->
% 9.90/10.13  antidomain(forward_diamond(A,domain(backward_diamond(B,c(C)))))
% 9.90/10.13  Current number of equations to process: 2413
% 9.90/10.13  Current number of ordered equations: 2
% 9.90/10.13  Current number of rules: 580
% 9.90/10.13  New rule produced :
% 9.90/10.13  [654]
% 9.90/10.13  domain(domain(backward_diamond(A,antidomain(forward_diamond(B,C))))) <->
% 9.90/10.13  antidomain(backward_box(A,multiplication(B,domain(C))))
% 9.90/10.13  Current number of equations to process: 2413
% 9.90/10.13  Current number of ordered equations: 1
% 9.90/10.13  Current number of rules: 581
% 9.90/10.13  New rule produced :
% 9.90/10.13  [655]
% 9.90/10.13  antidomain(backward_box(A,multiplication(B,domain(C)))) <->
% 9.90/10.13  domain(domain(backward_diamond(A,antidomain(forward_diamond(B,C)))))
% 9.90/10.13  Current number of equations to process: 2413
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 582
% 9.90/10.13  New rule produced :
% 9.90/10.13  [656]
% 9.90/10.13  multiplication(A,multiplication(B,domain(C))) addition multiplication(A,B) ->
% 9.90/10.13  multiplication(A,B)
% 9.90/10.13  Current number of equations to process: 2412
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 583
% 9.90/10.13  New rule produced :
% 9.90/10.13  [657]
% 9.90/10.13  multiplication(multiplication(A,domain(C)),B) addition multiplication(A,B) ->
% 9.90/10.13  multiplication(A,B)
% 9.90/10.13  Current number of equations to process: 2411
% 9.90/10.13  Current number of ordered equations: 0
% 9.90/10.13  Current number of rules: 584
% 9.90/10.13  New rule produced :
% 9.90/10.13  [658]
% 9.90/10.13  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 9.90/10.13  domain(B)) addition A -> A
% 10.03/10.23  Current number of equations to process: 2409
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 585
% 10.03/10.23  New rule produced :
% 10.03/10.23  [659]
% 10.03/10.23  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 10.03/10.23  domain(B)) addition A -> A
% 10.03/10.23  Current number of equations to process: 2408
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 586
% 10.03/10.23  New rule produced :
% 10.03/10.23  [660]
% 10.03/10.23  multiplication(multiplication(domain(A),B),C) addition multiplication(B,C) ->
% 10.03/10.23  multiplication(B,C)
% 10.03/10.23  Current number of equations to process: 2407
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 587
% 10.03/10.23  New rule produced :
% 10.03/10.23  [661]
% 10.03/10.23  multiplication(A,multiplication(domain(C),B)) addition multiplication(A,B) ->
% 10.03/10.23  multiplication(A,B)
% 10.03/10.23  Current number of equations to process: 2406
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 588
% 10.03/10.23  New rule produced :
% 10.03/10.23  [662]
% 10.03/10.23  multiplication(domain(A),multiplication(B,backward_box(sK3_goals_X0,domain(sK1_goals_X2)))) addition B
% 10.03/10.23  -> B
% 10.03/10.23  Current number of equations to process: 2403
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 589
% 10.03/10.23  New rule produced :
% 10.03/10.23  [663]
% 10.03/10.23  multiplication(domain(A),multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),B)) addition B
% 10.03/10.23  -> B
% 10.03/10.23  Current number of equations to process: 2402
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 590
% 10.03/10.23  New rule produced :
% 10.03/10.23  [664]
% 10.03/10.23  multiplication(A,multiplication(B,antidomain(C))) addition multiplication(A,B)
% 10.03/10.23  -> multiplication(A,B)
% 10.03/10.23  Current number of equations to process: 2401
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 591
% 10.03/10.23  New rule produced :
% 10.03/10.23  [665]
% 10.03/10.23  multiplication(multiplication(A,antidomain(C)),B) addition multiplication(A,B)
% 10.03/10.23  -> multiplication(A,B)
% 10.03/10.23  Current number of equations to process: 2400
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 592
% 10.03/10.23  New rule produced :
% 10.03/10.23  [666]
% 10.03/10.23  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 10.03/10.23  antidomain(B)) addition A -> A
% 10.03/10.23  Current number of equations to process: 2398
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 593
% 10.03/10.23  New rule produced :
% 10.03/10.23  [667]
% 10.03/10.23  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 10.03/10.23  antidomain(B)) addition A -> A
% 10.03/10.23  Current number of equations to process: 2397
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 594
% 10.03/10.23  New rule produced :
% 10.03/10.23  [668]
% 10.03/10.23  multiplication(multiplication(antidomain(A),B),C) addition multiplication(B,C)
% 10.03/10.23  -> multiplication(B,C)
% 10.03/10.23  Current number of equations to process: 2396
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 595
% 10.03/10.23  New rule produced :
% 10.03/10.23  [669]
% 10.03/10.23  multiplication(A,multiplication(antidomain(C),B)) addition multiplication(A,B)
% 10.03/10.23  -> multiplication(A,B)
% 10.03/10.23  Current number of equations to process: 2395
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 596
% 10.03/10.23  New rule produced :
% 10.03/10.23  [670]
% 10.03/10.23  multiplication(antidomain(A),multiplication(B,backward_box(sK3_goals_X0,
% 10.03/10.23                                                domain(sK1_goals_X2)))) addition B
% 10.03/10.23  -> B
% 10.03/10.23  Current number of equations to process: 2392
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 597
% 10.03/10.23  New rule produced :
% 10.03/10.23  [671]
% 10.03/10.23  multiplication(antidomain(A),multiplication(backward_box(sK3_goals_X0,
% 10.03/10.23                                              domain(sK1_goals_X2)),B)) addition B
% 10.03/10.23  -> B
% 10.03/10.23  Current number of equations to process: 2391
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 598
% 10.03/10.23  New rule produced :
% 10.03/10.23  [672]
% 10.03/10.23  multiplication(A,multiplication(B,codomain(C))) addition multiplication(A,B)
% 10.03/10.23  -> multiplication(A,B)
% 10.03/10.23  Current number of equations to process: 2386
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 599
% 10.03/10.23  New rule produced :
% 10.03/10.23  [673]
% 10.03/10.23  multiplication(multiplication(A,codomain(C)),B) addition multiplication(A,B)
% 10.03/10.23  -> multiplication(A,B)
% 10.03/10.23  Current number of equations to process: 2385
% 10.03/10.23  Current number of ordered equations: 0
% 10.03/10.23  Current number of rules: 600
% 10.03/10.23  New rule produced :
% 10.03/10.23  [674]
% 10.03/10.23  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 10.03/10.23  codomain(B)) addition A -> A
% 10.03/10.23  Current number of equations to process: 2383
% 10.03/10.23  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 601
% 10.19/10.42  New rule produced :
% 10.19/10.42  [675]
% 10.19/10.42  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 10.19/10.42  codomain(B)) addition A -> A
% 10.19/10.42  Current number of equations to process: 2382
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 602
% 10.19/10.42  New rule produced :
% 10.19/10.42  [676]
% 10.19/10.42  multiplication(multiplication(codomain(A),B),C) addition multiplication(B,C)
% 10.19/10.42  -> multiplication(B,C)
% 10.19/10.42  Current number of equations to process: 2380
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 603
% 10.19/10.42  New rule produced :
% 10.19/10.42  [677]
% 10.19/10.42  multiplication(A,multiplication(codomain(C),B)) addition multiplication(A,B)
% 10.19/10.42  -> multiplication(A,B)
% 10.19/10.42  Current number of equations to process: 2379
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 604
% 10.19/10.42  New rule produced :
% 10.19/10.42  [678]
% 10.19/10.42  multiplication(codomain(A),multiplication(B,backward_box(sK3_goals_X0,
% 10.19/10.42                                              domain(sK1_goals_X2)))) addition B
% 10.19/10.42  -> B
% 10.19/10.42  Current number of equations to process: 2376
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 605
% 10.19/10.42  New rule produced :
% 10.19/10.42  [679]
% 10.19/10.42  multiplication(codomain(A),multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),B)) addition B
% 10.19/10.42  -> B
% 10.19/10.42  Current number of equations to process: 2375
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 606
% 10.19/10.42  New rule produced :
% 10.19/10.42  [680]
% 10.19/10.42  multiplication(A,multiplication(B,coantidomain(C))) addition multiplication(A,B)
% 10.19/10.42  -> multiplication(A,B)
% 10.19/10.42  Current number of equations to process: 2373
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 607
% 10.19/10.42  New rule produced :
% 10.19/10.42  [681]
% 10.19/10.42  multiplication(multiplication(A,coantidomain(C)),B) addition multiplication(A,B)
% 10.19/10.42  -> multiplication(A,B)
% 10.19/10.42  Current number of equations to process: 2372
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 608
% 10.19/10.42  New rule produced :
% 10.19/10.42  [682]
% 10.19/10.42  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 10.19/10.42  coantidomain(B)) addition A -> A
% 10.19/10.42  Current number of equations to process: 2370
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 609
% 10.19/10.42  New rule produced :
% 10.19/10.42  [683]
% 10.19/10.42  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 10.19/10.42  coantidomain(B)) addition A -> A
% 10.19/10.42  Current number of equations to process: 2369
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 610
% 10.19/10.42  New rule produced :
% 10.19/10.42  [684]
% 10.19/10.42  multiplication(multiplication(coantidomain(A),B),C) addition multiplication(B,C)
% 10.19/10.42  -> multiplication(B,C)
% 10.19/10.42  Current number of equations to process: 2367
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 611
% 10.19/10.42  New rule produced :
% 10.19/10.42  [685]
% 10.19/10.42  multiplication(A,multiplication(coantidomain(C),B)) addition multiplication(A,B)
% 10.19/10.42  -> multiplication(A,B)
% 10.19/10.42  Current number of equations to process: 2366
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 612
% 10.19/10.42  New rule produced :
% 10.19/10.42  [686]
% 10.19/10.42  multiplication(coantidomain(A),multiplication(B,backward_box(sK3_goals_X0,
% 10.19/10.42                                                  domain(sK1_goals_X2)))) addition B
% 10.19/10.42  -> B
% 10.19/10.42  Current number of equations to process: 2363
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 613
% 10.19/10.42  New rule produced :
% 10.19/10.42  [687]
% 10.19/10.42  multiplication(coantidomain(A),multiplication(backward_box(sK3_goals_X0,
% 10.19/10.42                                                domain(sK1_goals_X2)),B)) addition B
% 10.19/10.42  -> B
% 10.19/10.42  Current number of equations to process: 2362
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 614
% 10.19/10.42  New rule produced :
% 10.19/10.42  [688]
% 10.19/10.42  multiplication(multiplication(A,multiplication(B,coantidomain(C))),multiplication(
% 10.19/10.42                                                                     codomain(C),X0))
% 10.19/10.42  -> zero
% 10.19/10.42  Current number of equations to process: 2359
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 615
% 10.19/10.42  New rule produced :
% 10.19/10.42  [689]
% 10.19/10.42  multiplication(multiplication(A,coantidomain(B)),multiplication(multiplication(
% 10.19/10.42                                                                  codomain(B),C),X0))
% 10.19/10.42  -> zero
% 10.19/10.42  Current number of equations to process: 2358
% 10.19/10.42  Current number of ordered equations: 0
% 10.19/10.42  Current number of rules: 616
% 10.19/10.42  New rule produced :
% 10.19/10.42  [690] forward_diamond(coantidomain(A),codomain(A)) -> zero
% 10.49/10.71  Current number of equations to process: 2358
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 617
% 10.49/10.71  New rule produced :
% 10.49/10.71  [691] multiplication(coantidomain(A),domain(codomain(A))) -> zero
% 10.49/10.71  Rule
% 10.49/10.71  [162] antidomain(multiplication(coantidomain(A),domain(codomain(A)))) -> one
% 10.49/10.71  collapsed.
% 10.49/10.71  Current number of equations to process: 2358
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 617
% 10.49/10.71  New rule produced :
% 10.49/10.71  [692]
% 10.49/10.71  leq(one,antidomain(multiplication(coantidomain(A),domain(domain(codomain(A))))))
% 10.49/10.71  -> true
% 10.49/10.71  Current number of equations to process: 2358
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 618
% 10.49/10.71  New rule produced :
% 10.49/10.71  [693]
% 10.49/10.71  multiplication(multiplication(A,domain(B)),domain(B)) ->
% 10.49/10.71  multiplication(A,domain(B))
% 10.49/10.71  Current number of equations to process: 2365
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 619
% 10.49/10.71  New rule produced :
% 10.49/10.71  [694]
% 10.49/10.71  multiplication(antidomain(A),multiplication(antidomain(A),B)) ->
% 10.49/10.71  multiplication(antidomain(A),B)
% 10.49/10.71  Current number of equations to process: 2376
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 620
% 10.49/10.71  New rule produced :
% 10.49/10.71  [695]
% 10.49/10.71  antidomain(multiplication(domain(A),domain(multiplication(antidomain(A),B))))
% 10.49/10.71  -> one
% 10.49/10.71  Current number of equations to process: 2377
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 621
% 10.49/10.71  New rule produced :
% 10.49/10.71  [696]
% 10.49/10.71  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),multiplication(
% 10.49/10.71                                                                 antidomain(sK2_goals_X1),A))
% 10.49/10.71  -> multiplication(antidomain(sK2_goals_X1),A)
% 10.49/10.71  Current number of equations to process: 2383
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 622
% 10.49/10.71  New rule produced :
% 10.49/10.71  [697]
% 10.49/10.71  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 10.49/10.71                                                                   domain(C))))
% 10.49/10.71  -> zero
% 10.49/10.71  Current number of equations to process: 2382
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 623
% 10.49/10.71  New rule produced :
% 10.49/10.71  [698]
% 10.49/10.71  multiplication(multiplication(A,multiplication(B,domain(C))),multiplication(
% 10.49/10.71                                                               antidomain(C),X0))
% 10.49/10.71  -> zero
% 10.49/10.71  Current number of equations to process: 2381
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 624
% 10.49/10.71  New rule produced :
% 10.49/10.71  [699]
% 10.49/10.71  multiplication(multiplication(A,domain(B)),multiplication(multiplication(
% 10.49/10.71                                                            antidomain(B),C),X0))
% 10.49/10.71  -> zero
% 10.49/10.71  Current number of equations to process: 2380
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 625
% 10.49/10.71  New rule produced :
% 10.49/10.71  [700]
% 10.49/10.71  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 10.49/10.71                                                                domain(B))),C))
% 10.49/10.71  -> zero
% 10.49/10.71  Current number of equations to process: 2376
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 626
% 10.49/10.71  New rule produced :
% 10.49/10.71  [701] forward_diamond(backward_box(A,B),backward_diamond(A,c(B))) -> zero
% 10.49/10.71  Current number of equations to process: 2384
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 627
% 10.49/10.71  New rule produced :
% 10.49/10.71  [702] forward_diamond(multiplication(A,multiplication(B,c(C))),C) -> zero
% 10.49/10.71  Current number of equations to process: 2392
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 628
% 10.49/10.71  New rule produced :
% 10.49/10.71  [703]
% 10.49/10.71  multiplication(multiplication(A,c(B)),antidomain(B)) ->
% 10.49/10.71  multiplication(A,c(B))
% 10.49/10.71  Current number of equations to process: 2395
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 629
% 10.49/10.71  New rule produced :
% 10.49/10.71  [704]
% 10.49/10.71  antidomain(multiplication(multiplication(A,c(B)),domain(domain(B)))) -> one
% 10.49/10.71  Current number of equations to process: 2396
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 630
% 10.49/10.71  New rule produced :
% 10.49/10.71  [705]
% 10.49/10.71  forward_diamond(multiplication(C,c(B)) addition A,B) -> forward_diamond(A,B)
% 10.49/10.71  Current number of equations to process: 2397
% 10.49/10.71  Current number of ordered equations: 0
% 10.49/10.71  Current number of rules: 631
% 10.49/10.71  New rule produced :
% 10.49/10.71  [706] multiplication(multiplication(A,c(c(B))),c(domain(B))) -> zero
% 10.49/10.71  Current number of equations to process: 2400
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 632
% 10.70/10.91  New rule produced :
% 10.70/10.91  [707] multiplication(multiplication(A,c(domain(domain(B)))),c(c(B))) -> zero
% 10.70/10.91  Current number of equations to process: 2399
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 633
% 10.70/10.91  New rule produced :
% 10.70/10.91  [708]
% 10.70/10.91  antidomain(multiplication(c(A),domain(multiplication(domain(A),B)))) -> one
% 10.70/10.91  Current number of equations to process: 2403
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 634
% 10.70/10.91  New rule produced :
% 10.70/10.91  [709] multiplication(c(c(A)),multiplication(c(domain(A)),B)) -> zero
% 10.70/10.91  Current number of equations to process: 2405
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 635
% 10.70/10.91  New rule produced :
% 10.70/10.91  [710] multiplication(c(domain(domain(A))),multiplication(c(c(A)),B)) -> zero
% 10.70/10.91  Current number of equations to process: 2407
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 636
% 10.70/10.91  New rule produced :
% 10.70/10.91  [711]
% 10.70/10.91  multiplication(multiplication(A,c(sK2_goals_X1)),backward_box(sK3_goals_X0,
% 10.70/10.91                                                   domain(sK1_goals_X2))) ->
% 10.70/10.91  multiplication(A,c(sK2_goals_X1))
% 10.70/10.91  Current number of equations to process: 2406
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 637
% 10.70/10.91  New rule produced :
% 10.70/10.91  [712]
% 10.70/10.91  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(
% 10.70/10.91                                                                     domain(B)))))
% 10.70/10.91  -> zero
% 10.70/10.91  Current number of equations to process: 2405
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 638
% 10.70/10.91  New rule produced :
% 10.70/10.91  [713]
% 10.70/10.91  multiplication(multiplication(A,backward_box(B,C)),domain(backward_diamond(B,
% 10.70/10.91                                                            c(C)))) -> zero
% 10.70/10.91  Current number of equations to process: 2403
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 639
% 10.70/10.91  New rule produced :
% 10.70/10.91  [714]
% 10.70/10.91  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 10.70/10.91                                                          domain(C),X0)) ->
% 10.70/10.91  zero
% 10.70/10.91  Current number of equations to process: 2402
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 640
% 10.70/10.91  New rule produced :
% 10.70/10.91  [715]
% 10.70/10.91  multiplication(multiplication(A,c(B)),multiplication(multiplication(domain(B),C),X0))
% 10.70/10.91  -> zero
% 10.70/10.91  Current number of equations to process: 2401
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 641
% 10.70/10.91  New rule produced :
% 10.70/10.91  [716]
% 10.70/10.91  multiplication(backward_box(A,B),multiplication(domain(backward_diamond(A,
% 10.70/10.91                                                         c(B))),C)) -> zero
% 10.70/10.91  Current number of equations to process: 2397
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 642
% 10.70/10.91  New rule produced :
% 10.70/10.91  [717]
% 10.70/10.91  forward_diamond(multiplication(A,backward_box(B,C)),backward_diamond(B,c(C)))
% 10.70/10.91  -> zero
% 10.70/10.91  Current number of equations to process: 2400
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 643
% 10.70/10.91  New rule produced :
% 10.70/10.91  [718]
% 10.70/10.91  multiplication(backward_box(A,B),antidomain(backward_diamond(A,c(B)))) ->
% 10.70/10.91  backward_box(A,B)
% 10.70/10.91  Current number of equations to process: 2399
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 644
% 10.70/10.91  New rule produced :
% 10.70/10.91  [719]
% 10.70/10.91  backward_diamond(codomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 10.70/10.91  -> zero
% 10.70/10.91  Current number of equations to process: 2402
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 645
% 10.70/10.91  New rule produced :
% 10.70/10.91  [720]
% 10.70/10.91  backward_diamond(codomain(codomain(codomain(A))),coantidomain(A)) -> zero
% 10.70/10.91  Current number of equations to process: 2402
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 646
% 10.70/10.91  New rule produced : [721] backward_diamond(A,zero) -> zero
% 10.70/10.91  Current number of equations to process: 2402
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 647
% 10.70/10.91  New rule produced : [722] forward_diamond(c(A),domain(A)) -> zero
% 10.70/10.91  Current number of equations to process: 2403
% 10.70/10.91  Current number of ordered equations: 0
% 10.70/10.91  Current number of rules: 648
% 10.70/10.91  New rule produced : [723] multiplication(c(A),domain(domain(A))) -> zero
% 10.70/10.91  Rule [174] antidomain(multiplication(c(A),domain(domain(A)))) -> one
% 10.70/10.91  collapsed.
% 10.70/10.91  Current number of equations to process: 2403
% 10.70/10.91  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 648
% 11.40/11.66  New rule produced :
% 11.40/11.66  [724] forward_diamond(A,B) addition c(forward_diamond(A,B)) -> one
% 11.40/11.66  Current number of equations to process: 2446
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 649
% 11.40/11.66  New rule produced :
% 11.40/11.66  [725]
% 11.40/11.66  multiplication(backward_box(A,antidomain(B)),domain(backward_diamond(A,
% 11.40/11.66                                                      domain(domain(B))))) ->
% 11.40/11.66  zero
% 11.40/11.66  Current number of equations to process: 2469
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced : [726] leq(backward_box(A,B),one) -> true
% 11.40/11.66  Rule [195] leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),one) -> true
% 11.40/11.66  collapsed.
% 11.40/11.66  Current number of equations to process: 2475
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced : [727] leq(backward_box(A,B),one addition C) -> true
% 11.40/11.66  Rule
% 11.40/11.66  [198]
% 11.40/11.66  leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),one addition A) -> true
% 11.40/11.66  collapsed.
% 11.40/11.66  Current number of equations to process: 2474
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [728] leq(backward_box(A,B) addition C,one addition C) -> true
% 11.40/11.66  Rule
% 11.40/11.66  [241]
% 11.40/11.66  leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)) addition A,one addition A)
% 11.40/11.66  -> true collapsed.
% 11.40/11.66  Current number of equations to process: 2473
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [729] one addition multiplication(backward_box(A,B),domain(C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [505]
% 11.40/11.66  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 11.40/11.66               domain(A)) -> one collapsed.
% 11.40/11.66  Current number of equations to process: 2510
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [730] one addition multiplication(domain(A),backward_box(B,C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [521]
% 11.40/11.66  one addition multiplication(domain(A),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 11.40/11.66  -> one collapsed.
% 11.40/11.66  Current number of equations to process: 2509
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [731] one addition multiplication(backward_box(A,B),antidomain(C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [538]
% 11.40/11.66  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 11.40/11.66               antidomain(A)) -> one collapsed.
% 11.40/11.66  Current number of equations to process: 2508
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [732] one addition multiplication(antidomain(A),backward_box(B,C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [552]
% 11.40/11.66  one addition multiplication(antidomain(A),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 11.40/11.66  -> one collapsed.
% 11.40/11.66  Current number of equations to process: 2507
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [733] one addition multiplication(backward_box(A,B),codomain(C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [572]
% 11.40/11.66  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 11.40/11.66               codomain(A)) -> one collapsed.
% 11.40/11.66  Current number of equations to process: 2506
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [734] one addition multiplication(codomain(A),backward_box(B,C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [586]
% 11.40/11.66  one addition multiplication(codomain(A),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 11.40/11.66  -> one collapsed.
% 11.40/11.66  Current number of equations to process: 2505
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [735] one addition multiplication(backward_box(A,B),coantidomain(C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [600]
% 11.40/11.66  one addition multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 11.40/11.66               coantidomain(A)) -> one collapsed.
% 11.40/11.66  Current number of equations to process: 2504
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.40/11.66  [736] one addition multiplication(coantidomain(A),backward_box(B,C)) -> one
% 11.40/11.66  Rule
% 11.40/11.66  [613]
% 11.40/11.66  one addition multiplication(coantidomain(A),backward_box(sK3_goals_X0,
% 11.40/11.66                                              domain(sK1_goals_X2))) -> one
% 11.40/11.66  collapsed.
% 11.40/11.66  Current number of equations to process: 2503
% 11.40/11.66  Current number of ordered equations: 0
% 11.40/11.66  Current number of rules: 650
% 11.40/11.66  New rule produced :
% 11.71/11.96  [737] leq(backward_box(A,B) addition C,one addition C addition X0) -> true
% 11.71/11.96  Rule
% 11.71/11.96  [363]
% 11.71/11.96  leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)) addition A,one addition A addition B)
% 11.71/11.96  -> true collapsed.
% 11.71/11.96  Current number of equations to process: 2532
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 650
% 11.71/11.96  New rule produced :
% 11.71/11.96  [738] ifeq2(one,backward_box(A,B),leq(one,backward_box(A,B)),true) -> true
% 11.71/11.96  Current number of equations to process: 2531
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 651
% 11.71/11.96  New rule produced :
% 11.71/11.96  [739]
% 11.71/11.96  backward_box(A,antidomain(B)) addition domain(backward_diamond(A,domain(
% 11.71/11.96                                                                   domain(B))))
% 11.71/11.96  -> one
% 11.71/11.96  Current number of equations to process: 2530
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 652
% 11.71/11.96  New rule produced : [740] multiplication(c(A),c(A)) -> c(A)
% 11.71/11.96  Current number of equations to process: 2523
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 653
% 11.71/11.96  New rule produced : [741] leq(multiplication(A,c(B)),A) -> true
% 11.71/11.96  Current number of equations to process: 2529
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 654
% 11.71/11.96  New rule produced : [742] leq(multiplication(A,c(B)),A addition C) -> true
% 11.71/11.96  Current number of equations to process: 2528
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 655
% 11.71/11.96  New rule produced :
% 11.71/11.96  [743] leq(multiplication(A,c(B)) addition C,A addition C) -> true
% 11.71/11.96  Current number of equations to process: 2585
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 656
% 11.71/11.96  New rule produced :
% 11.71/11.96  [744]
% 11.71/11.96  domain(A) addition multiplication(domain(B),c(A)) ->
% 11.71/11.96  domain(A) addition domain(B)
% 11.71/11.96  Current number of equations to process: 2583
% 11.71/11.96  Current number of ordered equations: 1
% 11.71/11.96  Current number of rules: 657
% 11.71/11.96  New rule produced :
% 11.71/11.96  [745]
% 11.71/11.96  domain(A) addition multiplication(antidomain(B),c(A)) ->
% 11.71/11.96  domain(A) addition antidomain(B)
% 11.71/11.96  Current number of equations to process: 2583
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 658
% 11.71/11.96  New rule produced :
% 11.71/11.96  [746]
% 11.71/11.96  domain(A) addition multiplication(codomain(B),c(A)) ->
% 11.71/11.96  codomain(B) addition domain(A)
% 11.71/11.96  Current number of equations to process: 2581
% 11.71/11.96  Current number of ordered equations: 1
% 11.71/11.96  Current number of rules: 659
% 11.71/11.96  New rule produced :
% 11.71/11.96  [747]
% 11.71/11.96  domain(A) addition multiplication(coantidomain(B),c(A)) ->
% 11.71/11.96  coantidomain(B) addition domain(A)
% 11.71/11.96  Current number of equations to process: 2581
% 11.71/11.96  Current number of ordered equations: 0
% 11.71/11.96  Current number of rules: 660
% 11.71/11.96  Rule [655]
% 11.71/11.96       antidomain(backward_box(A,multiplication(B,domain(C)))) <->
% 11.71/11.96       domain(domain(backward_diamond(A,antidomain(forward_diamond(B,C))))) is composed into 
% 11.71/11.96  [655]
% 11.71/11.96  antidomain(backward_box(A,multiplication(B,domain(C)))) <->
% 11.71/11.96  domain(backward_diamond(A,antidomain(forward_diamond(B,C))))
% 11.71/11.96  Rule [490]
% 11.71/11.96       c(backward_diamond(A,backward_box(B,antidomain(C)))) <->
% 11.71/11.96       backward_box(A,backward_diamond(B,domain(domain(C)))) is composed into 
% 11.71/11.96  [490]
% 11.71/11.96  c(backward_diamond(A,backward_box(B,antidomain(C)))) <->
% 11.71/11.96  backward_box(A,backward_diamond(B,domain(C)))
% 11.71/11.96  Rule [226]
% 11.71/11.96       antidomain(backward_box(A,backward_diamond(B,c(C)))) <->
% 11.71/11.96       domain(domain(backward_diamond(A,backward_box(B,C)))) is composed into 
% 11.71/11.96  [226]
% 11.71/11.96  antidomain(backward_box(A,backward_diamond(B,c(C)))) <->
% 11.71/11.96  domain(backward_diamond(A,backward_box(B,C)))
% 11.71/11.96  Rule [123] c(antidomain(A)) -> domain(domain(A)) is composed into [123]
% 11.71/11.96                                                                    c(antidomain(A))
% 11.71/11.96                                                                    ->
% 11.71/11.96                                                                    domain(A)
% 11.71/11.96  Rule [38] forward_diamond(one,A) -> domain(domain(A)) is composed into 
% 11.71/11.96  [38] forward_diamond(one,A) -> domain(A)
% 11.71/11.96  Rule [36] antidomain(c(A)) -> domain(domain(A)) is composed into [36]
% 11.71/11.96                                                                   antidomain(
% 11.71/11.96                                                                   c(A)) ->
% 11.71/11.96                                                                   domain(A)
% 11.71/11.96  New rule produced : [748] domain(domain(A)) -> domain(A)
% 11.71/11.96  Rule [48] c(A) addition domain(domain(A)) -> one collapsed.
% 11.82/12.02  Rule [131] multiplication(domain(domain(A)),c(A)) -> zero collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [132]
% 11.82/12.02  domain(domain(backward_diamond(A,c(B)))) -> antidomain(backward_box(A,B))
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule [133] domain(domain(domain(A))) -> c(c(A)) collapsed.
% 11.82/12.02  Rule [206] multiplication(multiplication(A,domain(domain(B))),c(B)) -> zero
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule [212] multiplication(domain(domain(A)),multiplication(c(A),B)) -> zero
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [217]
% 11.82/12.02  multiplication(A,c(B)) addition multiplication(A,domain(domain(B))) -> A
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [218]
% 11.82/12.02  multiplication(c(B),A) addition multiplication(domain(domain(B)),A) -> A
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [225]
% 11.82/12.02  domain(domain(backward_diamond(A,backward_box(B,C)))) <->
% 11.82/12.02  antidomain(backward_box(A,backward_diamond(B,c(C)))) collapsed.
% 11.82/12.02  Rule [243] ifeq2(one,c(A),leq(domain(domain(A)),c(A)),true) -> true
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [249]
% 11.82/12.02  forward_diamond(A,B) addition antidomain(multiplication(A,domain(domain(B))))
% 11.82/12.02  -> one collapsed.
% 11.82/12.02  Rule [310] ifeq(leq(domain(domain(A)),c(A)),true,one,c(A)) -> c(A) collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [359] ifeq2(one,domain(domain(A)),leq(c(A),domain(domain(A))),true) -> true
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule [423] domain(domain(A)) addition domain(A) -> domain(domain(A))
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule [427] c(c(A)) addition domain(domain(A)) -> c(c(A)) collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [436]
% 11.82/12.02  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(
% 11.82/12.02                                                                   domain(B))))
% 11.82/12.02  -> one collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [440]
% 11.82/12.02  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(
% 11.82/12.02                                                                  domain(B)))))
% 11.82/12.02  -> true collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [445]
% 11.82/12.02  c(backward_diamond(A,domain(domain(B)))) -> backward_box(A,antidomain(B))
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule [449] c(c(A)) addition c(domain(domain(A))) -> one collapsed.
% 11.82/12.02  Rule [483] forward_diamond(domain(domain(A)),antidomain(A)) -> zero
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule [484] multiplication(c(domain(domain(A))),c(c(A))) -> zero collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [491]
% 11.82/12.02  backward_box(A,backward_diamond(B,domain(domain(C)))) <->
% 11.82/12.02  c(backward_diamond(A,backward_box(B,antidomain(C)))) collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [496]
% 11.82/12.02  multiplication(multiplication(A,domain(domain(B))),multiplication(c(B),C)) ->
% 11.82/12.02  zero collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [498]
% 11.82/12.02  domain(domain(backward_diamond(A,domain(domain(B))))) ->
% 11.82/12.02  antidomain(backward_box(A,antidomain(B))) collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [654]
% 11.82/12.02  domain(domain(backward_diamond(A,antidomain(forward_diamond(B,C))))) <->
% 11.82/12.02  antidomain(backward_box(A,multiplication(B,domain(C)))) collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [692]
% 11.82/12.02  leq(one,antidomain(multiplication(coantidomain(A),domain(domain(codomain(A))))))
% 11.82/12.02  -> true collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [704]
% 11.82/12.02  antidomain(multiplication(multiplication(A,c(B)),domain(domain(B)))) -> one
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [707] multiplication(multiplication(A,c(domain(domain(B)))),c(c(B))) -> zero
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [710] multiplication(c(domain(domain(A))),multiplication(c(c(A)),B)) -> zero
% 11.82/12.02  collapsed.
% 11.82/12.02  Rule [723] multiplication(c(A),domain(domain(A))) -> zero collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [725]
% 11.82/12.02  multiplication(backward_box(A,antidomain(B)),domain(backward_diamond(A,
% 11.82/12.02                                                      domain(domain(B))))) ->
% 11.82/12.02  zero collapsed.
% 11.82/12.02  Rule
% 11.82/12.02  [739]
% 11.82/12.02  backward_box(A,antidomain(B)) addition domain(backward_diamond(A,domain(
% 11.82/12.02                                                                   domain(B))))
% 11.82/12.02  -> one collapsed.
% 11.82/12.02  Current number of equations to process: 2610
% 11.82/12.02  Current number of ordered equations: 0
% 11.82/12.02  Current number of rules: 629
% 11.82/12.02  Rule [653]
% 11.82/12.02       c(multiplication(A,antidomain(backward_box(B,C)))) ->
% 11.82/12.02       antidomain(forward_diamond(A,domain(backward_diamond(B,c(C))))) is composed into 
% 11.82/12.02  [653]
% 11.82/12.02  c(multiplication(A,antidomain(backward_box(B,C)))) ->
% 11.82/12.02  antidomain(forward_diamond(A,c(c(backward_diamond(B,c(C))))))
% 11.82/12.02  Rule [490]
% 11.82/12.02       c(backward_diamond(A,backward_box(B,antidomain(C)))) <->
% 11.82/12.02       backward_box(A,backward_diamond(B,domain(C))) is composed into [490]
% 11.82/12.02                                                                      c(
% 11.82/12.02                                                                      backward_diamond(A,
% 11.82/12.02                                                                      backward_box(B,
% 11.82/12.02                                                                      antidomain(C))))
% 11.82/12.02                                                                      <->
% 11.82/12.02                                                                      backward_box(A,
% 11.82/12.02                                                                      backward_diamond(B,
% 11.82/12.02                                                                      c(
% 11.82/12.02                                                                      c(C))))
% 11.82/12.02  Rule [444] forward_diamond(A,one) -> domain(A) is composed into [444]
% 11.82/12.02                                                                  forward_diamond(A,one)
% 11.82/12.02                                                                  -> c(c(A))
% 11.82/12.02  Rule [410]
% 11.82/12.02       forward_diamond(A addition C,antidomain(B)) <->
% 11.82/12.02       domain(multiplication(A,c(B)) addition multiplication(C,c(B))) is composed into 
% 11.82/12.02  [410]
% 11.82/12.02  forward_diamond(A addition C,antidomain(B)) <->
% 11.82/12.02  c(c(multiplication(A,c(B)) addition multiplication(C,c(B))))
% 11.82/12.02  Rule [405]
% 11.82/12.02       backward_box(A,backward_diamond(B,antidomain(forward_diamond(C,X0))))
% 11.82/12.02       <-> c(backward_diamond(A,backward_box(B,multiplication(C,domain(X0))))) is composed into 
% 11.82/12.02  [405]
% 11.82/12.02  backward_box(A,backward_diamond(B,antidomain(forward_diamond(C,X0)))) <->
% 11.82/12.02  c(backward_diamond(A,backward_box(B,multiplication(C,c(c(X0))))))
% 11.82/12.02  Rule [403]
% 11.82/12.02       antidomain(forward_diamond(A addition C,B)) <->
% 11.82/12.02       c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) is composed into 
% 11.82/12.02  [403]
% 11.82/12.02  antidomain(forward_diamond(A addition C,B)) <->
% 11.82/12.02  c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B))))
% 11.82/12.02  Rule [226]
% 11.82/12.02       antidomain(backward_box(A,backward_diamond(B,c(C)))) <->
% 11.82/12.02       domain(backward_diamond(A,backward_box(B,C))) is composed into [226]
% 11.82/12.02                                                                      antidomain(
% 11.82/12.02                                                                      backward_box(A,
% 11.82/12.02                                                                      backward_diamond(B,
% 11.82/12.02                                                                      c(C))))
% 11.82/12.02                                                                      <->
% 11.82/12.02                                                                      c(
% 11.82/12.02                                                                      c(
% 11.82/12.02                                                                      backward_diamond(A,
% 11.82/12.02                                                                      backward_box(B,C))))
% 11.82/12.02  Rule [192]
% 11.82/12.02       c(multiplication(A,forward_diamond(B,C))) ->
% 11.82/12.02       antidomain(forward_diamond(A,multiplication(B,domain(C)))) is composed into 
% 11.82/12.02  [192]
% 11.82/12.02  c(multiplication(A,forward_diamond(B,C))) ->
% 11.82/12.02  antidomain(forward_diamond(A,multiplication(B,c(c(C)))))
% 11.82/12.02  Rule [190]
% 11.82/12.02       c(backward_diamond(A,antidomain(forward_diamond(B,C)))) <->
% 11.82/12.02       backward_box(A,multiplication(B,domain(C))) is composed into [190]
% 11.82/12.02                                                                    c(backward_diamond(A,
% 11.82/12.02                                                                      antidomain(
% 11.82/12.02                                                                      forward_diamond(B,C))))
% 11.82/12.02                                                                    <->
% 11.82/12.02                                                                    backward_box(A,
% 11.82/12.02                                                                    multiplication(B,
% 11.82/12.02                                                                    c(c(C))))
% 11.82/12.02  Rule [123] c(antidomain(A)) -> domain(A) is composed into [123]
% 11.82/12.02                                                            c(antidomain(A)) ->
% 11.82/12.02                                                            c(c(A))
% 11.82/12.02  Rule [98]
% 11.82/12.02       forward_diamond(A addition C,B) <->
% 11.82/12.02       domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) is composed into 
% 11.82/12.02  [98]
% 11.82/12.02  forward_diamond(A addition C,B) <->
% 11.82/12.02  c(c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B)))))
% 11.82/12.02  Rule [38] forward_diamond(one,A) -> domain(A) is composed into [38]
% 11.82/12.02                                                                 forward_diamond(one,A)
% 11.82/12.02                                                                 -> c(c(A))
% 11.82/12.02  Rule [36] antidomain(c(A)) -> domain(A) is composed into [36]
% 11.82/12.09                                                           antidomain(c(A)) ->
% 11.82/12.09                                                           c(c(A))
% 11.82/12.09  Rule [20]
% 11.82/12.09       domain_difference(X0,X1) -> multiplication(domain(X0),antidomain(X1)) is composed into 
% 11.82/12.09  [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),antidomain(X1))
% 11.82/12.09  Rule [8] antidomain(antidomain(X0)) -> domain(X0) is composed into [8]
% 11.82/12.09                                                                     antidomain(
% 11.82/12.09                                                                     antidomain(X0))
% 11.82/12.09                                                                     ->
% 11.82/12.09                                                                     c(c(X0))
% 11.82/12.09  New rule produced : [749] domain(A) -> c(c(A))
% 11.82/12.09  Rule [9] antidomain(domain(X0)) -> c(X0) collapsed.
% 11.82/12.09  Rule [16] domain(multiplication(X0,domain(X1))) -> forward_diamond(X0,X1)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [17] domain(X0) addition antidomain(X0) -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [21]
% 11.82/12.09  backward_box(sK3_goals_X0,domain(sK1_goals_X2)) addition domain(sK2_goals_X1)
% 11.82/12.09  -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [29]
% 11.82/12.09  antidomain(multiplication(X0,domain(X1))) addition antidomain(multiplication(X0,X1))
% 11.82/12.09  -> antidomain(multiplication(X0,domain(X1))) collapsed.
% 11.82/12.09  Rule [32] domain(antidomain(A)) -> c(A) collapsed.
% 11.82/12.09  Rule [39] one addition domain(A) -> one collapsed.
% 11.82/12.09  Rule [44] multiplication(domain(A),antidomain(A)) -> zero collapsed.
% 11.82/12.09  Rule [45] multiplication(c(A),domain(A)) -> zero collapsed.
% 11.82/12.09  Rule [47] c(A) addition domain(A) -> one collapsed.
% 11.82/12.09  Rule [50] c(multiplication(A,domain(B))) -> antidomain(forward_diamond(A,B))
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [59]
% 11.82/12.09  domain(multiplication(A,forward_diamond(B,C))) ->
% 11.82/12.09  forward_diamond(A,multiplication(B,domain(C))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [65]
% 11.82/12.09  forward_diamond(A,B) addition antidomain(multiplication(A,domain(B))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [68]
% 11.82/12.09  domain(multiplication(A,multiplication(B,domain(C)))) ->
% 11.82/12.09  forward_diamond(multiplication(A,B),C) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [69]
% 11.82/12.09  multiplication(A,domain(B)) addition multiplication(A,antidomain(B)) -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [71]
% 11.82/12.09  multiplication(domain(B),A) addition multiplication(antidomain(B),A) -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [83] ifeq2(one,domain(A),leq(antidomain(A),domain(A)),true) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [84] ifeq2(one,antidomain(A),leq(domain(A),antidomain(A)),true) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [87]
% 11.82/12.09  ifeq(leq(domain(A),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [88] ifeq(leq(antidomain(A),domain(A)),true,one,domain(A)) -> domain(A)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [91]
% 11.82/12.09  multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))) addition 
% 11.82/12.09  multiplication(A,domain(sK2_goals_X1)) -> A collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [92]
% 11.82/12.09  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A) addition 
% 11.82/12.09  multiplication(domain(sK2_goals_X1),A) -> A collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [97]
% 11.82/12.09  domain(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 11.82/12.09  forward_diamond(A addition C,B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [99]
% 11.82/12.09  ifeq2(one,domain(sK2_goals_X1),leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),
% 11.82/12.09                                 domain(sK2_goals_X1)),true) -> true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [100]
% 11.82/12.09  ifeq(leq(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),domain(sK2_goals_X1)),true,one,
% 11.82/12.09  domain(sK2_goals_X1)) -> domain(sK2_goals_X1) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [114]
% 11.82/12.09  domain(multiplication(A,B)) addition antidomain(multiplication(A,domain(B)))
% 11.82/12.09  -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [115]
% 11.82/12.09  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))))
% 11.82/12.09  -> true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [118]
% 11.82/12.09  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,domain(B))) addition C)
% 11.82/12.09  -> true collapsed.
% 11.82/12.09  Rule [122] domain(one) -> one collapsed.
% 11.82/12.09  Rule [124] domain(c(A)) -> c(domain(A)) collapsed.
% 11.82/12.09  Rule [125] domain(multiplication(A,c(B))) -> forward_diamond(A,antidomain(B))
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [126] domain(zero) -> zero collapsed.
% 11.82/12.09  Rule [136] multiplication(A,domain(B)) addition A -> A collapsed.
% 11.82/12.09  Rule [137] multiplication(domain(B),A) addition A -> A collapsed.
% 11.82/12.09  Rule [138] leq(domain(A),one) -> true collapsed.
% 11.82/12.09  Rule [139] leq(domain(A),one addition B) -> true collapsed.
% 11.82/12.09  Rule [156] ifeq2(one,domain(A),leq(one,domain(A)),true) -> true collapsed.
% 11.82/12.09  Rule [164] multiplication(multiplication(A,domain(B)),antidomain(B)) -> zero
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [165] multiplication(domain(A),multiplication(antidomain(A),B)) -> zero
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [166]
% 11.82/12.09  multiplication(forward_diamond(A,B),antidomain(multiplication(A,domain(B))))
% 11.82/12.09  -> zero collapsed.
% 11.82/12.09  Rule [169] multiplication(multiplication(A,c(B)),domain(B)) -> zero
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [170] multiplication(c(A),multiplication(domain(A),B)) -> zero
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [171]
% 11.82/12.09  multiplication(backward_box(A,B),domain(backward_diamond(A,c(B)))) -> zero
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [179] backward_box(A,B) addition domain(backward_diamond(A,c(B))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [180] multiplication(A,c(B)) addition multiplication(A,domain(B)) -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [181] multiplication(c(B),A) addition multiplication(domain(B),A) -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [182] ifeq(leq(one,domain(A)),true,one,domain(A)) -> domain(A)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [191]
% 11.82/12.09  backward_box(A,multiplication(B,domain(C))) <->
% 11.82/12.09  c(backward_diamond(A,antidomain(forward_diamond(B,C)))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [193]
% 11.82/12.09  c(multiplication(A,multiplication(B,domain(C)))) ->
% 11.82/12.09  antidomain(forward_diamond(multiplication(A,B),C)) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [196]
% 11.82/12.09  multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))) addition A
% 11.82/12.09  -> A collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [197]
% 11.82/12.09  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A) addition A
% 11.82/12.09  -> A collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [201]
% 11.82/12.09  antidomain(multiplication(multiplication(A,B),domain(coantidomain(B)))) ->
% 11.82/12.09  one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [205]
% 11.82/12.09  antidomain(multiplication(multiplication(A,antidomain(B)),domain(B))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [208]
% 11.82/12.09  antidomain(multiplication(A,domain(multiplication(coantidomain(A),B)))) ->
% 11.82/12.09  one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [211]
% 11.82/12.09  antidomain(multiplication(antidomain(A),domain(multiplication(A,B)))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [215] ifeq2(one,domain(A),leq(c(A),domain(A)),true) -> true collapsed.
% 11.82/12.09  Rule [216] ifeq2(one,c(A),leq(domain(A),c(A)),true) -> true collapsed.
% 11.82/12.09  Rule [223] ifeq(leq(domain(A),c(A)),true,one,c(A)) -> c(A) collapsed.
% 11.82/12.09  Rule [224] ifeq(leq(c(A),domain(A)),true,one,domain(A)) -> domain(A)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [228]
% 11.82/12.09  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,domain(B)))
% 11.82/12.09  -> zero collapsed.
% 11.82/12.09  Rule [230] leq(domain(A) addition B,one addition B) -> true collapsed.
% 11.82/12.09  Rule [237] leq(domain(A) addition B,one addition B addition C) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [258]
% 11.82/12.09  forward_diamond(multiplication(antidomain(multiplication(A,domain(B))),A),B)
% 11.82/12.09  -> zero collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [261]
% 11.82/12.09  domain(multiplication(A,multiplication(B,c(C)))) ->
% 11.82/12.09  forward_diamond(multiplication(A,B),antidomain(C)) collapsed.
% 11.82/12.09  Rule [262] multiplication(domain(A),domain(A)) -> domain(A) collapsed.
% 11.82/12.09  Rule [264] leq(multiplication(A,domain(B)),A) -> true collapsed.
% 11.82/12.09  Rule [266] leq(multiplication(A,domain(B)),A addition C) -> true collapsed.
% 11.82/12.09  Rule [271] leq(multiplication(A,domain(B)) addition C,A addition C) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [279] multiplication(domain(A),A) -> A collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [280]
% 11.82/12.09  multiplication(domain(A),coantidomain(antidomain(A))) ->
% 11.82/12.09  coantidomain(antidomain(A)) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [281]
% 11.82/12.09  multiplication(antidomain(A),coantidomain(domain(A))) ->
% 11.82/12.09  coantidomain(domain(A)) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [288] multiplication(domain(A),multiplication(A,B)) -> multiplication(A,B)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [290] leq(multiplication(domain(A),B),B) -> true collapsed.
% 11.82/12.09  Rule [292] leq(multiplication(domain(A),B),B addition C) -> true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [293]
% 11.82/12.09  multiplication(domain(A),multiplication(coantidomain(antidomain(A)),B)) ->
% 11.82/12.09  multiplication(coantidomain(antidomain(A)),B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [294]
% 11.82/12.09  multiplication(antidomain(A),multiplication(coantidomain(domain(A)),B)) ->
% 11.82/12.09  multiplication(coantidomain(domain(A)),B) collapsed.
% 11.82/12.09  Rule [295] leq(multiplication(domain(A),B) addition C,B addition C) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [308] antidomain(multiplication(A,domain(coantidomain(A)))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [309] antidomain(multiplication(antidomain(A),domain(A))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [314]
% 11.82/12.09  domain(multiplication(A,multiplication(B,forward_diamond(C,X0)))) ->
% 11.82/12.09  forward_diamond(multiplication(A,B),multiplication(C,domain(X0))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [315]
% 11.82/12.09  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 11.82/12.09                                                                     domain(C)))
% 11.82/12.09  -> zero collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [317]
% 11.82/12.09  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 11.82/12.09                                                             domain(C)))),B),C)
% 11.82/12.09  -> zero collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [319]
% 11.82/12.09  domain(A) addition multiplication(antidomain(A),antidomain(B)) ->
% 11.82/12.09  domain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [321]
% 11.82/12.09  domain(B) addition multiplication(domain(A),antidomain(B)) ->
% 11.82/12.09  domain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [322]
% 11.82/12.09  domain(B) addition multiplication(antidomain(A),antidomain(B)) ->
% 11.82/12.09  domain(B) addition antidomain(A) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [323]
% 11.82/12.09  antidomain(B) addition multiplication(antidomain(A),domain(B)) ->
% 11.82/12.09  antidomain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [324]
% 11.82/12.09  domain(A) addition multiplication(antidomain(A),codomain(B)) ->
% 11.82/12.09  codomain(B) addition domain(A) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [325]
% 11.82/12.09  domain(A) addition multiplication(antidomain(A),coantidomain(B)) ->
% 11.82/12.09  coantidomain(B) addition domain(A) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [326]
% 11.82/12.09  antidomain(A) addition multiplication(domain(A),coantidomain(B)) ->
% 11.82/12.09  coantidomain(B) addition antidomain(A) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [333]
% 11.82/12.09  domain(B) addition multiplication(codomain(A),antidomain(B)) ->
% 11.82/12.09  codomain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [334]
% 11.82/12.09  domain(B) addition multiplication(coantidomain(A),antidomain(B)) ->
% 11.82/12.09  coantidomain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [335]
% 11.82/12.09  antidomain(B) addition multiplication(coantidomain(A),domain(B)) ->
% 11.82/12.09  coantidomain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [343]
% 11.82/12.09  multiplication(multiplication(A,domain(B)),multiplication(antidomain(B),C))
% 11.82/12.09  -> zero collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [344]
% 11.82/12.09  multiplication(multiplication(A,c(B)),multiplication(domain(B),C)) -> zero
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [350]
% 11.82/12.09  multiplication(antidomain(backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 11.82/12.09  domain(sK2_goals_X1)) ->
% 11.82/12.09  antidomain(backward_box(sK3_goals_X0,domain(sK1_goals_X2))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [351] ifeq2(one addition A,one,leq(domain(B) addition A,one),true) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [352] ifeq(leq(domain(A) addition B,one),true,one addition B,one) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [365]
% 11.82/12.09  domain(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 11.82/12.09  forward_diamond(multiplication(A,multiplication(B,C)),X0) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [366]
% 11.82/12.09  leq(multiplication(A,domain(B)) addition C,A addition C addition X0) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [370]
% 11.82/12.09  leq(multiplication(domain(A),B) addition C,B addition C addition X0) -> true
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [384]
% 11.82/12.09  multiplication(c(sK2_goals_X1),backward_box(sK3_goals_X0,domain(sK1_goals_X2)))
% 11.82/12.09  -> c(sK2_goals_X1) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [385]
% 11.82/12.09  leq(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),A) ->
% 11.82/12.09  true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [386]
% 11.82/12.09  leq(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 11.82/12.09  A addition B) -> true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [387]
% 11.82/12.09  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),coantidomain(
% 11.82/12.09                                                                 domain(sK2_goals_X1)))
% 11.82/12.09  -> coantidomain(domain(sK2_goals_X1)) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [388]
% 11.82/12.09  multiplication(domain(sK2_goals_X1),coantidomain(backward_box(sK3_goals_X0,
% 11.82/12.09                                                   domain(sK1_goals_X2)))) ->
% 11.82/12.09  coantidomain(backward_box(sK3_goals_X0,domain(sK1_goals_X2))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [389]
% 11.82/12.09  leq(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))) addition B,
% 11.82/12.09  A addition B) -> true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [390]
% 11.82/12.09  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),antidomain(sK2_goals_X1))
% 11.82/12.09  -> antidomain(sK2_goals_X1) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [391]
% 11.82/12.09  leq(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),A) ->
% 11.82/12.09  true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [392]
% 11.82/12.09  leq(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 11.82/12.09  A addition B) -> true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [393]
% 11.82/12.09  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),multiplication(
% 11.82/12.09                                                                 coantidomain(
% 11.82/12.09                                                                 domain(sK2_goals_X1)),A))
% 11.82/12.09  -> multiplication(coantidomain(domain(sK2_goals_X1)),A) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [394]
% 11.82/12.09  leq(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A) addition B,
% 11.82/12.09  A addition B) -> true collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [402]
% 11.82/12.09  c(multiplication(A,domain(B)) addition multiplication(C,domain(B))) <->
% 11.82/12.09  antidomain(forward_diamond(A addition C,B)) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [404]
% 11.82/12.09  c(backward_diamond(A,backward_box(B,multiplication(C,domain(X0))))) <->
% 11.82/12.09  backward_box(A,backward_diamond(B,antidomain(forward_diamond(C,X0))))
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [406]
% 11.82/12.09  c(multiplication(A,multiplication(B,multiplication(C,domain(X0))))) ->
% 11.82/12.09  antidomain(forward_diamond(multiplication(A,multiplication(B,C)),X0))
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [407]
% 11.82/12.09  domain(domain(A) addition multiplication(B,domain(A))) ->
% 11.82/12.09  forward_diamond(one addition B,A) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [409]
% 11.82/12.09  domain(multiplication(A,c(B)) addition multiplication(C,c(B))) <->
% 11.82/12.09  forward_diamond(A addition C,antidomain(B)) collapsed.
% 11.82/12.09  Rule [424] c(domain(A)) addition c(A) -> c(domain(A)) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [435]
% 11.82/12.09  antidomain(forward_diamond(A,B)) addition antidomain(multiplication(A,
% 11.82/12.09                                                       domain(B))) ->
% 11.82/12.09  antidomain(forward_diamond(A,B)) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [437]
% 11.82/12.09  domain(multiplication(A,antidomain(B))) addition antidomain(multiplication(A,
% 11.82/12.09                                                              c(B))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [446] c(domain(backward_diamond(A,c(B)))) -> domain(backward_box(A,B))
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [447] multiplication(c(c(A)),c(domain(A))) -> zero collapsed.
% 11.82/12.09  Rule [448] c(c(A)) addition c(domain(A)) -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [450]
% 11.82/12.09  domain(multiplication(A,backward_box(B,C))) ->
% 11.82/12.09  forward_diamond(A,antidomain(backward_diamond(B,c(C)))) collapsed.
% 11.82/12.09  Rule [466] coantidomain(backward_diamond(antidomain(A),domain(A))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [467] coantidomain(backward_diamond(domain(A),c(A))) -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [475] antidomain(multiplication(codomain(A),domain(coantidomain(A)))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [492]
% 11.82/12.09  c(domain(backward_diamond(A,backward_box(B,C)))) <->
% 11.82/12.09  domain(backward_box(A,backward_diamond(B,c(C)))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [493]
% 11.82/12.09  domain(backward_box(A,backward_diamond(B,c(C)))) <->
% 11.82/12.09  c(domain(backward_diamond(A,backward_box(B,C)))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [495]
% 11.82/12.09  domain(multiplication(A,antidomain(forward_diamond(B,C)))) ->
% 11.82/12.09  forward_diamond(A,antidomain(multiplication(B,domain(C)))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [497]
% 11.82/12.09  domain(multiplication(A,antidomain(backward_box(B,C)))) ->
% 11.82/12.09  forward_diamond(A,domain(backward_diamond(B,c(C)))) collapsed.
% 11.82/12.09  Rule [501] one addition multiplication(antidomain(A),domain(B)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [502] one addition multiplication(domain(A),domain(B)) -> one collapsed.
% 11.82/12.09  Rule [503] one addition multiplication(coantidomain(A),domain(B)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [504] one addition multiplication(codomain(A),domain(B)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [507] one addition multiplication(c(A),domain(B)) -> one collapsed.
% 11.82/12.09  Rule [508] one addition multiplication(forward_diamond(A,B),domain(C)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [509] multiplication(multiplication(A,domain(B)),domain(C)) addition A -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [510]
% 11.82/12.09  multiplication(multiplication(A,antidomain(B)),domain(C)) addition A -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [511] multiplication(multiplication(A,codomain(B)),domain(C)) addition A -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [512]
% 11.82/12.09  multiplication(multiplication(A,coantidomain(B)),domain(C)) addition A -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [513] multiplication(multiplication(domain(A),B),domain(C)) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [514]
% 11.82/12.09  multiplication(multiplication(antidomain(A),B),domain(C)) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [515] multiplication(multiplication(codomain(A),B),domain(C)) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [516]
% 11.82/12.09  multiplication(multiplication(coantidomain(A),B),domain(C)) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [517] c(A) addition multiplication(antidomain(A),domain(B)) -> c(A)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [518] one addition multiplication(domain(A),antidomain(B)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [519] one addition multiplication(domain(A),coantidomain(B)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [520] one addition multiplication(domain(A),codomain(B)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [523] one addition multiplication(domain(A),c(B)) -> one collapsed.
% 11.82/12.09  Rule [524] one addition multiplication(domain(A),forward_diamond(B,C)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [525] multiplication(domain(A),multiplication(B,domain(C))) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [526]
% 11.82/12.09  multiplication(domain(A),multiplication(B,antidomain(C))) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [527] multiplication(domain(A),multiplication(B,codomain(C))) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [528]
% 11.82/12.09  multiplication(domain(A),multiplication(B,coantidomain(C))) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [529] multiplication(domain(A),multiplication(domain(B),C)) addition C -> C
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [530]
% 11.82/12.09  multiplication(domain(A),multiplication(antidomain(B),C)) addition C -> C
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [531] multiplication(domain(A),multiplication(codomain(B),C)) addition C -> C
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [532]
% 11.82/12.09  multiplication(domain(A),multiplication(coantidomain(B),C)) addition C -> C
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule [533] c(A) addition multiplication(domain(B),antidomain(A)) -> c(A)
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [541]
% 11.82/12.09  multiplication(multiplication(A,domain(B)),antidomain(C)) addition A -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [545]
% 11.82/12.09  multiplication(multiplication(domain(A),B),antidomain(C)) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [555]
% 11.82/12.09  multiplication(antidomain(A),multiplication(B,domain(C))) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [559]
% 11.82/12.09  multiplication(antidomain(A),multiplication(domain(B),C)) addition C -> C
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [568] one addition multiplication(backward_diamond(A,B),domain(C)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [569] one addition multiplication(domain(A),backward_diamond(B,C)) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [575] multiplication(multiplication(A,domain(B)),codomain(C)) addition A -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [579] multiplication(multiplication(domain(A),B),codomain(C)) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [589] multiplication(codomain(A),multiplication(B,domain(C))) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [593] multiplication(codomain(A),multiplication(domain(B),C)) addition C -> C
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [603]
% 11.82/12.09  multiplication(multiplication(A,domain(B)),coantidomain(C)) addition A -> A
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [607]
% 11.82/12.09  multiplication(multiplication(domain(A),B),coantidomain(C)) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [616]
% 11.82/12.09  multiplication(coantidomain(A),multiplication(B,domain(C))) addition B -> B
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [620]
% 11.82/12.09  multiplication(coantidomain(A),multiplication(domain(B),C)) addition C -> C
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [626]
% 11.82/12.09  domain(A) addition multiplication(antidomain(A),domain(B)) ->
% 11.82/12.09  domain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [627]
% 11.82/12.09  antidomain(B) addition multiplication(domain(B),domain(A)) ->
% 11.82/12.09  domain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [628]
% 11.82/12.09  codomain(A) addition multiplication(coantidomain(A),domain(B)) ->
% 11.82/12.09  codomain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [629]
% 11.82/12.09  coantidomain(A) addition multiplication(codomain(A),domain(B)) ->
% 11.82/12.09  coantidomain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [630]
% 11.82/12.09  antidomain(B) addition multiplication(domain(A),domain(B)) ->
% 11.82/12.09  domain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [631]
% 11.82/12.09  codomain(A) addition multiplication(domain(B),coantidomain(A)) ->
% 11.82/12.09  codomain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [632]
% 11.82/12.09  coantidomain(A) addition multiplication(domain(B),codomain(A)) ->
% 11.82/12.09  coantidomain(A) addition domain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [633]
% 11.82/12.09  antidomain(A) addition multiplication(domain(A),antidomain(B)) ->
% 11.82/12.09  antidomain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [635]
% 11.82/12.09  antidomain(B) addition multiplication(codomain(A),domain(B)) ->
% 11.82/12.09  codomain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [637]
% 11.82/12.09  antidomain(B) addition multiplication(domain(B),codomain(A)) ->
% 11.82/12.09  codomain(A) addition antidomain(B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [645]
% 11.82/12.09  antidomain(multiplication(multiplication(A,coantidomain(B)),domain(codomain(B))))
% 11.82/12.09  -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [649]
% 11.82/12.09  antidomain(multiplication(coantidomain(A),domain(multiplication(codomain(A),B))))
% 11.82/12.09  -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [651]
% 11.82/12.09  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(domain(B))))
% 11.82/12.09  -> one collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [652]
% 11.82/12.09  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,
% 11.82/12.09                                                       c(domain(B)))) -> one
% 11.82/12.09  collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [655]
% 11.82/12.09  antidomain(backward_box(A,multiplication(B,domain(C)))) <->
% 11.82/12.09  domain(backward_diamond(A,antidomain(forward_diamond(B,C)))) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [656]
% 11.82/12.09  multiplication(A,multiplication(B,domain(C))) addition multiplication(A,B) ->
% 11.82/12.09  multiplication(A,B) collapsed.
% 11.82/12.09  Rule
% 11.82/12.09  [657]
% 11.82/12.09  multiplication(multiplication(A,domain(C)),B) addition multiplication(A,B) ->
% 11.82/12.10  multiplication(A,B) collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [658]
% 11.82/12.10  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 11.82/12.10  domain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [659]
% 11.82/12.10  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 11.82/12.10  domain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [660]
% 11.82/12.10  multiplication(multiplication(domain(A),B),C) addition multiplication(B,C) ->
% 11.82/12.10  multiplication(B,C) collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [661]
% 11.82/12.10  multiplication(A,multiplication(domain(C),B)) addition multiplication(A,B) ->
% 11.82/12.10  multiplication(A,B) collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [662]
% 11.82/12.10  multiplication(domain(A),multiplication(B,backward_box(sK3_goals_X0,domain(sK1_goals_X2)))) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [663]
% 11.82/12.10  multiplication(domain(A),multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),B)) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [666]
% 11.82/12.10  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 11.82/12.10  antidomain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [667]
% 11.82/12.10  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 11.82/12.10  antidomain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [670]
% 11.82/12.10  multiplication(antidomain(A),multiplication(B,backward_box(sK3_goals_X0,
% 11.82/12.10                                                domain(sK1_goals_X2)))) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [671]
% 11.82/12.10  multiplication(antidomain(A),multiplication(backward_box(sK3_goals_X0,
% 11.82/12.10                                              domain(sK1_goals_X2)),B)) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [674]
% 11.82/12.10  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 11.82/12.10  codomain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [675]
% 11.82/12.10  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 11.82/12.10  codomain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [678]
% 11.82/12.10  multiplication(codomain(A),multiplication(B,backward_box(sK3_goals_X0,
% 11.82/12.10                                              domain(sK1_goals_X2)))) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [679]
% 11.82/12.10  multiplication(codomain(A),multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),B)) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [682]
% 11.82/12.10  multiplication(multiplication(A,backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
% 11.82/12.10  coantidomain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [683]
% 11.82/12.10  multiplication(multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),A),
% 11.82/12.10  coantidomain(B)) addition A -> A collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [686]
% 11.82/12.10  multiplication(coantidomain(A),multiplication(B,backward_box(sK3_goals_X0,
% 11.82/12.10                                                  domain(sK1_goals_X2)))) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [687]
% 11.82/12.10  multiplication(coantidomain(A),multiplication(backward_box(sK3_goals_X0,
% 11.82/12.10                                                domain(sK1_goals_X2)),B)) addition B
% 11.82/12.10  -> B collapsed.
% 11.82/12.10  Rule [691] multiplication(coantidomain(A),domain(codomain(A))) -> zero
% 11.82/12.10  collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [693]
% 11.82/12.10  multiplication(multiplication(A,domain(B)),domain(B)) ->
% 11.82/12.10  multiplication(A,domain(B)) collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [695]
% 11.82/12.10  antidomain(multiplication(domain(A),domain(multiplication(antidomain(A),B))))
% 11.82/12.10  -> one collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [696]
% 11.82/12.10  multiplication(backward_box(sK3_goals_X0,domain(sK1_goals_X2)),multiplication(
% 11.82/12.10                                                                 antidomain(sK2_goals_X1),A))
% 11.82/12.10  -> multiplication(antidomain(sK2_goals_X1),A) collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [697]
% 11.82/12.10  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 11.82/12.10                                                                   domain(C))))
% 11.82/12.10  -> zero collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [698]
% 11.82/12.10  multiplication(multiplication(A,multiplication(B,domain(C))),multiplication(
% 11.82/12.10                                                               antidomain(C),X0))
% 11.82/12.10  -> zero collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [699]
% 11.82/12.10  multiplication(multiplication(A,domain(B)),multiplication(multiplication(
% 11.82/12.10                                                            antidomain(B),C),X0))
% 11.82/12.10  -> zero collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [700]
% 11.82/12.10  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 11.82/12.10                                                                domain(B))),C))
% 11.82/12.10  -> zero collapsed.
% 11.82/12.10  Rule [706] multiplication(multiplication(A,c(c(B))),c(domain(B))) -> zero
% 11.82/12.10  collapsed.
% 11.82/12.10  Rule
% 11.82/12.10  [708]
% 11.82/12.10  antidomain(multiplication(c(A),domain(multiplication(domain(A),B)))) -> one
% 12.31/12.55  collapsed.
% 12.31/12.55  Rule [709] multiplication(c(c(A)),multiplication(c(domain(A)),B)) -> zero
% 12.31/12.55  collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [711]
% 12.31/12.55  multiplication(multiplication(A,c(sK2_goals_X1)),backward_box(sK3_goals_X0,
% 12.31/12.55                                                   domain(sK1_goals_X2))) ->
% 12.31/12.55  multiplication(A,c(sK2_goals_X1)) collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [712]
% 12.31/12.55  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(
% 12.31/12.55                                                                     domain(B)))))
% 12.31/12.55  -> zero collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [713]
% 12.31/12.55  multiplication(multiplication(A,backward_box(B,C)),domain(backward_diamond(B,
% 12.31/12.55                                                            c(C)))) -> zero
% 12.31/12.55  collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [714]
% 12.31/12.55  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 12.31/12.55                                                          domain(C),X0)) ->
% 12.31/12.55  zero collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [715]
% 12.31/12.55  multiplication(multiplication(A,c(B)),multiplication(multiplication(domain(B),C),X0))
% 12.31/12.55  -> zero collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [716]
% 12.31/12.55  multiplication(backward_box(A,B),multiplication(domain(backward_diamond(A,
% 12.31/12.55                                                         c(B))),C)) -> zero
% 12.31/12.55  collapsed.
% 12.31/12.55  Rule [722] forward_diamond(c(A),domain(A)) -> zero collapsed.
% 12.31/12.55  Rule [729] one addition multiplication(backward_box(A,B),domain(C)) -> one
% 12.31/12.55  collapsed.
% 12.31/12.55  Rule [730] one addition multiplication(domain(A),backward_box(B,C)) -> one
% 12.31/12.55  collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [744]
% 12.31/12.55  domain(A) addition multiplication(domain(B),c(A)) ->
% 12.31/12.55  domain(A) addition domain(B) collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [745]
% 12.31/12.55  domain(A) addition multiplication(antidomain(B),c(A)) ->
% 12.31/12.55  domain(A) addition antidomain(B) collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [746]
% 12.31/12.55  domain(A) addition multiplication(codomain(B),c(A)) ->
% 12.31/12.55  codomain(B) addition domain(A) collapsed.
% 12.31/12.55  Rule
% 12.31/12.55  [747]
% 12.31/12.55  domain(A) addition multiplication(coantidomain(B),c(A)) ->
% 12.31/12.55  coantidomain(B) addition domain(A) collapsed.
% 12.31/12.55  Rule [748] domain(domain(A)) -> domain(A) collapsed.
% 12.31/12.55  The conjecture has been reduced. 
% 12.31/12.55  Conjecture is now:
% 12.31/12.55  c(forward_diamond(sK3_goals_X0,c(c(c(sK2_goals_X1))))) addition c(c(sK1_goals_X2)) = one
% 12.31/12.55  
% 12.31/12.55  Current number of equations to process: 2817
% 12.31/12.55  Current number of ordered equations: 0
% 12.31/12.55  Current number of rules: 397
% 12.31/12.55  New rule produced : [750] c(c(c(X0))) -> c(X0)
% 12.31/12.55  The conjecture has been reduced. 
% 12.31/12.55  Conjecture is now:
% 12.31/12.55  c(forward_diamond(sK3_goals_X0,c(sK2_goals_X1))) addition c(c(sK1_goals_X2)) = one
% 12.31/12.55  
% 12.31/12.55  Current number of equations to process: 2812
% 12.31/12.55  Current number of ordered equations: 4
% 12.31/12.55  Current number of rules: 398
% 12.31/12.55  New rule produced : [751] c(c(X0)) addition antidomain(X0) -> one
% 12.31/12.55  Current number of equations to process: 2812
% 12.31/12.55  Current number of ordered equations: 3
% 12.31/12.55  Current number of rules: 399
% 12.31/12.55  New rule produced :
% 12.31/12.55  [752] c(c(forward_diamond(X0,c(c(X1))))) -> forward_diamond(X0,X1)
% 12.31/12.55  Current number of equations to process: 2812
% 12.31/12.55  Current number of ordered equations: 2
% 12.31/12.55  Current number of rules: 400
% 12.31/12.55  New rule produced :
% 12.31/12.55  [753]
% 12.31/12.55  backward_box(sK3_goals_X0,c(c(sK1_goals_X2))) addition c(c(sK2_goals_X1)) ->
% 12.31/12.55  one
% 12.31/12.55  Current number of equations to process: 2812
% 12.31/12.55  Current number of ordered equations: 1
% 12.31/12.55  Current number of rules: 401
% 12.31/12.55  New rule produced :
% 12.31/12.55  [754]
% 12.31/12.55  antidomain(multiplication(X0,c(c(X1)))) addition antidomain(multiplication(X0,X1))
% 12.31/12.55  -> antidomain(multiplication(X0,c(c(X1))))
% 12.31/12.55  Current number of equations to process: 2812
% 12.31/12.55  Current number of ordered equations: 0
% 12.31/12.55  Current number of rules: 402
% 12.31/12.55  New rule produced : [755] multiplication(c(c(A)),c(A)) -> zero
% 12.31/12.55  Current number of equations to process: 2810
% 12.31/12.55  Current number of ordered equations: 0
% 12.31/12.55  Current number of rules: 403
% 12.31/12.55  New rule produced : [756] multiplication(c(c(A)),A) -> A
% 12.31/12.55  Current number of equations to process: 2809
% 12.31/12.55  Current number of ordered equations: 0
% 12.31/12.55  Current number of rules: 404
% 12.31/12.55  New rule produced : [757] forward_diamond(c(c(A)),antidomain(A)) -> zero
% 12.31/12.55  Current number of equations to process: 2808
% 12.31/12.55  Current number of ordered equations: 0
% 12.31/12.55  Current number of rules: 405
% 12.31/12.55  New rule produced : [758] multiplication(c(c(A)),antidomain(A)) -> zero
% 12.31/12.55  Current number of equations to process: 2807
% 12.31/12.55  Current number of ordered equations: 0
% 12.31/12.55  Current number of rules: 406
% 12.31/12.55  New rule produced : [759] multiplication(c(A),c(c(A))) -> zero
% 12.41/12.64  Current number of equations to process: 2806
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 407
% 12.41/12.64  New rule produced : [760] c(c(A)) addition c(A) -> one
% 12.41/12.64  Current number of equations to process: 2805
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 408
% 12.41/12.64  New rule produced : [761] forward_diamond(c(A),c(c(A))) -> zero
% 12.41/12.64  Current number of equations to process: 2804
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 409
% 12.41/12.64  New rule produced :
% 12.41/12.64  [762] antidomain(backward_box(A,B)) -> c(backward_box(A,B))
% 12.41/12.64  Rule [186] backward_box(A,B) addition antidomain(backward_box(A,B)) -> one
% 12.41/12.64  collapsed.
% 12.41/12.64  Rule
% 12.41/12.64  [226]
% 12.41/12.64  antidomain(backward_box(A,backward_diamond(B,c(C)))) <->
% 12.41/12.64  c(c(backward_diamond(A,backward_box(B,C)))) collapsed.
% 12.41/12.64  Rule
% 12.41/12.64  [653]
% 12.41/12.64  c(multiplication(A,antidomain(backward_box(B,C)))) ->
% 12.41/12.64  antidomain(forward_diamond(A,c(c(backward_diamond(B,c(C)))))) collapsed.
% 12.41/12.64  Current number of equations to process: 2803
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 407
% 12.41/12.64  New rule produced :
% 12.41/12.64  [763] backward_box(A,antidomain(B)) -> backward_box(A,c(B))
% 12.41/12.64  Rule
% 12.41/12.64  [490]
% 12.41/12.64  c(backward_diamond(A,backward_box(B,antidomain(C)))) <->
% 12.41/12.64  backward_box(A,backward_diamond(B,c(c(C)))) collapsed.
% 12.41/12.64  Current number of equations to process: 2802
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 407
% 12.41/12.64  New rule produced :
% 12.41/12.64  [764] antidomain(multiplication(A,c(c(coantidomain(A))))) -> one
% 12.41/12.64  Current number of equations to process: 2800
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 408
% 12.41/12.64  New rule produced :
% 12.41/12.64  [765] antidomain(multiplication(antidomain(A),c(c(A)))) -> one
% 12.41/12.64  Current number of equations to process: 2799
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 409
% 12.41/12.64  New rule produced :
% 12.41/12.64  [766] coantidomain(backward_diamond(antidomain(A),c(c(A)))) -> one
% 12.41/12.64  Current number of equations to process: 2798
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 410
% 12.41/12.64  New rule produced : [767] coantidomain(backward_diamond(c(c(A)),c(A))) -> one
% 12.41/12.64  Current number of equations to process: 2797
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 411
% 12.41/12.64  New rule produced :
% 12.41/12.64  [768] multiplication(multiplication(A,c(c(B))),c(B)) -> zero
% 12.41/12.64  Current number of equations to process: 2796
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 412
% 12.41/12.64  New rule produced :
% 12.41/12.64  [769] multiplication(c(c(A)),multiplication(c(A),B)) -> zero
% 12.41/12.64  Current number of equations to process: 2795
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 413
% 12.41/12.64  New rule produced : [770] leq(multiplication(c(c(A)),B),B) -> true
% 12.41/12.64  Current number of equations to process: 2794
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 414
% 12.41/12.64  New rule produced :
% 12.41/12.64  [771] multiplication(coantidomain(A),c(c(codomain(A)))) -> zero
% 12.41/12.64  Current number of equations to process: 2790
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 415
% 12.41/12.64  New rule produced :
% 12.41/12.64  [772]
% 12.41/12.64  antidomain(forward_diamond(A,c(c(B)))) -> antidomain(forward_diamond(A,B))
% 12.41/12.64  Current number of equations to process: 2789
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 416
% 12.41/12.64  New rule produced :
% 12.41/12.64  [773]
% 12.41/12.64  c(c(forward_diamond(A,antidomain(B)))) -> forward_diamond(A,antidomain(B))
% 12.41/12.64  Current number of equations to process: 2788
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 417
% 12.41/12.64  New rule produced :
% 12.41/12.64  [774] multiplication(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 12.41/12.64  Current number of equations to process: 2787
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 418
% 12.41/12.64  New rule produced :
% 12.41/12.64  [775] multiplication(c(c(A)),multiplication(antidomain(A),B)) -> zero
% 12.41/12.64  Current number of equations to process: 2786
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 419
% 12.41/12.64  New rule produced :
% 12.41/12.64  [776] multiplication(multiplication(A,c(B)),c(c(B))) -> zero
% 12.41/12.64  Current number of equations to process: 2785
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 420
% 12.41/12.64  New rule produced :
% 12.41/12.64  [777] multiplication(c(A),multiplication(c(c(A)),B)) -> zero
% 12.41/12.64  Current number of equations to process: 2784
% 12.41/12.64  Current number of ordered equations: 0
% 12.41/12.64  Current number of rules: 421
% 12.51/12.74  New rule produced :
% 12.51/12.74  [778] backward_box(A,B) addition c(backward_box(A,B)) -> one
% 12.51/12.74  Current number of equations to process: 2783
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 422
% 12.51/12.74  New rule produced :
% 12.51/12.74  [779]
% 12.51/12.74  multiplication(c(c(A)),coantidomain(antidomain(A))) ->
% 12.51/12.74  coantidomain(antidomain(A))
% 12.51/12.74  Current number of equations to process: 2782
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 423
% 12.51/12.74  New rule produced :
% 12.51/12.74  [780] multiplication(c(c(A)),multiplication(A,B)) -> multiplication(A,B)
% 12.51/12.74  Current number of equations to process: 2781
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 424
% 12.51/12.74  New rule produced :
% 12.51/12.74  [781] antidomain(multiplication(codomain(A),c(c(coantidomain(A))))) -> one
% 12.51/12.74  Current number of equations to process: 2778
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 425
% 12.51/12.74  New rule produced : [782] one addition multiplication(c(A),c(c(B))) -> one
% 12.51/12.74  Current number of equations to process: 2777
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 426
% 12.51/12.74  New rule produced : [783] one addition multiplication(c(c(A)),c(B)) -> one
% 12.51/12.74  Current number of equations to process: 2776
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 427
% 12.51/12.74  New rule produced :
% 12.51/12.74  [784]
% 12.51/12.74  multiplication(antidomain(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 12.51/12.74  Current number of equations to process: 2775
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 428
% 12.51/12.74  New rule produced :
% 12.51/12.74  [785]
% 12.51/12.74  multiplication(c(sK2_goals_X1),backward_box(sK3_goals_X0,c(c(sK1_goals_X2))))
% 12.51/12.74  -> c(sK2_goals_X1)
% 12.51/12.74  Current number of equations to process: 2774
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 429
% 12.51/12.74  New rule produced :
% 12.51/12.74  [786]
% 12.51/12.74  multiplication(backward_box(sK3_goals_X0,c(c(sK1_goals_X2))),antidomain(sK2_goals_X1))
% 12.51/12.74  -> antidomain(sK2_goals_X1)
% 12.51/12.74  Current number of equations to process: 2773
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 430
% 12.51/12.74  New rule produced :
% 12.51/12.74  [787]
% 12.51/12.74  multiplication(A,backward_box(sK3_goals_X0,c(c(sK1_goals_X2)))) addition A ->
% 12.51/12.74  A
% 12.51/12.74  Current number of equations to process: 2771
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 431
% 12.51/12.74  New rule produced :
% 12.51/12.74  [788]
% 12.51/12.74  multiplication(backward_box(sK3_goals_X0,c(c(sK1_goals_X2))),A) addition A ->
% 12.51/12.74  A
% 12.51/12.74  Current number of equations to process: 2770
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 432
% 12.51/12.74  New rule produced :
% 12.51/12.74  [789]
% 12.51/12.74  antidomain(multiplication(multiplication(A,B),c(c(coantidomain(B))))) -> one
% 12.51/12.74  Current number of equations to process: 2769
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 433
% 12.51/12.74  New rule produced :
% 12.51/12.74  [790]
% 12.51/12.74  antidomain(multiplication(multiplication(A,antidomain(B)),c(c(B)))) -> one
% 12.51/12.74  Current number of equations to process: 2768
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 434
% 12.51/12.74  New rule produced :
% 12.51/12.74  [791]
% 12.51/12.74  antidomain(multiplication(A,c(c(multiplication(coantidomain(A),B))))) -> one
% 12.51/12.74  Current number of equations to process: 2767
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 435
% 12.51/12.74  New rule produced :
% 12.51/12.74  [792]
% 12.51/12.74  antidomain(multiplication(antidomain(A),c(c(multiplication(A,B))))) -> one
% 12.51/12.74  Current number of equations to process: 2766
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 436
% 12.51/12.74  New rule produced : [793] leq(multiplication(c(c(A)),B),B addition C) -> true
% 12.51/12.74  Current number of equations to process: 2765
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 437
% 12.51/12.74  New rule produced :
% 12.51/12.74  [794]
% 12.51/12.74  leq(multiplication(A,backward_box(sK3_goals_X0,c(c(sK1_goals_X2)))),A) ->
% 12.51/12.74  true
% 12.51/12.74  Current number of equations to process: 2764
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 438
% 12.51/12.74  New rule produced :
% 12.51/12.74  [795]
% 12.51/12.74  leq(multiplication(backward_box(sK3_goals_X0,c(c(sK1_goals_X2))),A),A) ->
% 12.51/12.74  true
% 12.51/12.74  Current number of equations to process: 2763
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 439
% 12.51/12.74  New rule produced :
% 12.51/12.74  [796]
% 12.51/12.74  multiplication(multiplication(A,c(c(B))),multiplication(c(B),C)) -> zero
% 12.51/12.74  Current number of equations to process: 2762
% 12.51/12.74  Current number of ordered equations: 0
% 12.51/12.74  Current number of rules: 440
% 12.51/12.74  New rule produced :
% 12.51/12.74  [797] one addition multiplication(forward_diamond(A,B),c(c(C))) -> one
% 12.62/12.84  Current number of equations to process: 2760
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 441
% 12.62/12.84  New rule produced :
% 12.62/12.84  [798] one addition multiplication(c(c(A)),forward_diamond(B,C)) -> one
% 12.62/12.84  Current number of equations to process: 2759
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 442
% 12.62/12.84  New rule produced :
% 12.62/12.84  [799] one addition multiplication(backward_diamond(A,B),c(c(C))) -> one
% 12.62/12.84  Current number of equations to process: 2758
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 443
% 12.62/12.84  New rule produced :
% 12.62/12.84  [800] one addition multiplication(c(c(A)),backward_diamond(B,C)) -> one
% 12.62/12.84  Current number of equations to process: 2757
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 444
% 12.62/12.84  New rule produced :
% 12.62/12.84  [801] one addition multiplication(backward_box(A,B),c(c(C))) -> one
% 12.62/12.84  Current number of equations to process: 2754
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 445
% 12.62/12.84  New rule produced :
% 12.62/12.84  [802] one addition multiplication(c(c(A)),backward_box(B,C)) -> one
% 12.62/12.84  Current number of equations to process: 2753
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 446
% 12.62/12.84  New rule produced :
% 12.62/12.84  [803] c(A) addition multiplication(antidomain(A),c(c(B))) -> c(A)
% 12.62/12.84  Current number of equations to process: 2750
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 447
% 12.62/12.84  New rule produced :
% 12.62/12.84  [804] c(A) addition multiplication(c(c(B)),antidomain(A)) -> c(A)
% 12.62/12.84  Current number of equations to process: 2749
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 448
% 12.62/12.84  New rule produced :
% 12.62/12.84  [805]
% 12.62/12.84  c(c(forward_diamond(A,multiplication(B,c(c(C)))))) ->
% 12.62/12.84  forward_diamond(A,multiplication(B,c(c(C))))
% 12.62/12.84  Current number of equations to process: 2748
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 449
% 12.62/12.84  New rule produced :
% 12.62/12.84  [806]
% 12.62/12.84  forward_diamond(A,B) addition antidomain(multiplication(A,c(c(B)))) -> one
% 12.62/12.84  Current number of equations to process: 2747
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 450
% 12.62/12.84  New rule produced :
% 12.62/12.84  [807] multiplication(A,c(c(B))) addition multiplication(A,antidomain(B)) -> A
% 12.62/12.84  Current number of equations to process: 2746
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 451
% 12.62/12.84  New rule produced :
% 12.62/12.84  [808] multiplication(c(c(B)),A) addition multiplication(antidomain(B),A) -> A
% 12.62/12.84  Current number of equations to process: 2745
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 452
% 12.62/12.84  New rule produced :
% 12.62/12.84  [809]
% 12.62/12.84  multiplication(forward_diamond(A,B),antidomain(multiplication(A,c(c(B))))) ->
% 12.62/12.84  zero
% 12.62/12.84  Current number of equations to process: 2744
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 453
% 12.62/12.84  New rule produced :
% 12.62/12.84  [810] multiplication(backward_box(A,B),c(backward_box(A,B))) -> zero
% 12.62/12.84  Current number of equations to process: 2743
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 454
% 12.62/12.84  New rule produced :
% 12.62/12.84  [811] multiplication(A,c(c(B))) addition multiplication(A,c(B)) -> A
% 12.62/12.84  Current number of equations to process: 2741
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 455
% 12.62/12.84  New rule produced :
% 12.62/12.84  [812] multiplication(c(c(B)),A) addition multiplication(c(B),A) -> A
% 12.62/12.84  Current number of equations to process: 2740
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 456
% 12.62/12.84  New rule produced :
% 12.62/12.84  [813]
% 12.62/12.84  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,c(c(B))))
% 12.62/12.84  -> zero
% 12.62/12.84  Current number of equations to process: 2738
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 457
% 12.62/12.84  New rule produced :
% 12.62/12.84  [814]
% 12.62/12.84  forward_diamond(multiplication(antidomain(multiplication(A,c(c(B)))),A),B) ->
% 12.62/12.84  zero
% 12.62/12.84  Current number of equations to process: 2737
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 458
% 12.62/12.84  New rule produced :
% 12.62/12.84  [815]
% 12.62/12.84  multiplication(multiplication(A,c(c(B))),multiplication(antidomain(B),C)) ->
% 12.62/12.84  zero
% 12.62/12.84  Current number of equations to process: 2736
% 12.62/12.84  Current number of ordered equations: 0
% 12.62/12.84  Current number of rules: 459
% 12.62/12.84  New rule produced :
% 12.62/12.84  [816]
% 12.62/12.84  multiplication(multiplication(A,c(B)),multiplication(c(c(B)),C)) -> zero
% 12.62/12.84  Current number of equations to process: 2735
% 12.62/12.84  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 460
% 12.72/12.95  New rule produced :
% 12.72/12.95  [817]
% 12.72/12.95  c(c(multiplication(A,backward_box(B,C)))) ->
% 12.72/12.95  forward_diamond(A,antidomain(backward_diamond(B,c(C))))
% 12.72/12.95  Current number of equations to process: 2734
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 461
% 12.72/12.95  New rule produced :
% 12.72/12.95  [818] multiplication(multiplication(A,antidomain(B)),c(c(C))) addition A -> A
% 12.72/12.95  Current number of equations to process: 2732
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 462
% 12.72/12.95  New rule produced :
% 12.72/12.95  [819]
% 12.72/12.95  multiplication(multiplication(A,coantidomain(B)),c(c(C))) addition A -> A
% 12.72/12.95  Current number of equations to process: 2730
% 12.72/12.95  Current number of ordered equations: 1
% 12.72/12.95  Current number of rules: 463
% 12.72/12.95  New rule produced :
% 12.72/12.95  [820] multiplication(multiplication(A,codomain(B)),c(c(C))) addition A -> A
% 12.72/12.95  Current number of equations to process: 2730
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 464
% 12.72/12.95  New rule produced :
% 12.72/12.95  [821] multiplication(multiplication(antidomain(A),B),c(c(C))) addition B -> B
% 12.72/12.95  Current number of equations to process: 2729
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 465
% 12.72/12.95  New rule produced :
% 12.72/12.95  [822]
% 12.72/12.95  multiplication(multiplication(coantidomain(A),B),c(c(C))) addition B -> B
% 12.72/12.95  Current number of equations to process: 2727
% 12.72/12.95  Current number of ordered equations: 1
% 12.72/12.95  Current number of rules: 466
% 12.72/12.95  New rule produced :
% 12.72/12.95  [823] multiplication(multiplication(codomain(A),B),c(c(C))) addition B -> B
% 12.72/12.95  Current number of equations to process: 2727
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 467
% 12.72/12.95  New rule produced :
% 12.72/12.95  [824] multiplication(c(c(A)),multiplication(B,antidomain(C))) addition B -> B
% 12.72/12.95  Current number of equations to process: 2726
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 468
% 12.72/12.95  New rule produced :
% 12.72/12.95  [825]
% 12.72/12.95  multiplication(c(c(A)),multiplication(B,coantidomain(C))) addition B -> B
% 12.72/12.95  Current number of equations to process: 2724
% 12.72/12.95  Current number of ordered equations: 1
% 12.72/12.95  Current number of rules: 469
% 12.72/12.95  New rule produced :
% 12.72/12.95  [826] multiplication(c(c(A)),multiplication(B,codomain(C))) addition B -> B
% 12.72/12.95  Current number of equations to process: 2724
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 470
% 12.72/12.95  New rule produced :
% 12.72/12.95  [827] multiplication(c(c(A)),multiplication(antidomain(B),C)) addition C -> C
% 12.72/12.95  Current number of equations to process: 2723
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 471
% 12.72/12.95  New rule produced :
% 12.72/12.95  [828]
% 12.72/12.95  multiplication(c(c(A)),multiplication(coantidomain(B),C)) addition C -> C
% 12.72/12.95  Current number of equations to process: 2721
% 12.72/12.95  Current number of ordered equations: 1
% 12.72/12.95  Current number of rules: 472
% 12.72/12.95  New rule produced :
% 12.72/12.95  [829] multiplication(c(c(A)),multiplication(codomain(B),C)) addition C -> C
% 12.72/12.95  Current number of equations to process: 2721
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 473
% 12.72/12.95  New rule produced :
% 12.72/12.95  [830] multiplication(multiplication(A,c(c(B))),antidomain(C)) addition A -> A
% 12.72/12.95  Current number of equations to process: 2720
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 474
% 12.72/12.95  New rule produced :
% 12.72/12.95  [831] multiplication(multiplication(c(c(A)),B),antidomain(C)) addition B -> B
% 12.72/12.95  Current number of equations to process: 2719
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 475
% 12.72/12.95  New rule produced :
% 12.72/12.95  [832] multiplication(antidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 12.72/12.95  Current number of equations to process: 2718
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 476
% 12.72/12.95  New rule produced :
% 12.72/12.95  [833] multiplication(antidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 12.72/12.95  Current number of equations to process: 2717
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 477
% 12.72/12.95  New rule produced :
% 12.72/12.95  [834] multiplication(multiplication(A,c(c(B))),codomain(C)) addition A -> A
% 12.72/12.95  Current number of equations to process: 2716
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 478
% 12.72/12.95  New rule produced :
% 12.72/12.95  [835] multiplication(multiplication(c(c(A)),B),codomain(C)) addition B -> B
% 12.72/12.95  Current number of equations to process: 2715
% 12.72/12.95  Current number of ordered equations: 0
% 12.72/12.95  Current number of rules: 479
% 13.11/13.28  New rule produced :
% 13.11/13.28  [836] multiplication(codomain(A),multiplication(B,c(c(C)))) addition B -> B
% 13.11/13.28  Current number of equations to process: 2714
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 480
% 13.11/13.28  New rule produced :
% 13.11/13.28  [837] multiplication(codomain(A),multiplication(c(c(B)),C)) addition C -> C
% 13.11/13.28  Current number of equations to process: 2713
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 481
% 13.11/13.28  New rule produced :
% 13.11/13.28  [838]
% 13.11/13.28  multiplication(multiplication(A,c(c(B))),coantidomain(C)) addition A -> A
% 13.11/13.28  Current number of equations to process: 2712
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 482
% 13.11/13.28  New rule produced :
% 13.11/13.28  [839]
% 13.11/13.28  multiplication(multiplication(c(c(A)),B),coantidomain(C)) addition B -> B
% 13.11/13.28  Current number of equations to process: 2711
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 483
% 13.11/13.28  New rule produced :
% 13.11/13.28  [840]
% 13.11/13.28  multiplication(coantidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 13.11/13.28  Current number of equations to process: 2710
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 484
% 13.11/13.28  New rule produced :
% 13.11/13.28  [841]
% 13.11/13.28  multiplication(coantidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 13.11/13.28  Current number of equations to process: 2709
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 485
% 13.11/13.28  New rule produced :
% 13.11/13.28  [842]
% 13.11/13.28  antidomain(multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))))
% 13.11/13.28  -> one
% 13.11/13.28  Current number of equations to process: 2708
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 486
% 13.11/13.28  New rule produced :
% 13.11/13.28  [843]
% 13.11/13.28  antidomain(multiplication(coantidomain(A),c(c(multiplication(codomain(A),B)))))
% 13.11/13.28  -> one
% 13.11/13.28  Current number of equations to process: 2707
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 487
% 13.11/13.28  New rule produced :
% 13.11/13.28  [844]
% 13.11/13.28  c(multiplication(A,multiplication(B,c(c(C))))) ->
% 13.11/13.28  antidomain(forward_diamond(multiplication(A,B),C))
% 13.11/13.28  Current number of equations to process: 2702
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 488
% 13.11/13.28  New rule produced :
% 13.11/13.28  [845]
% 13.11/13.28  c(c(multiplication(A,multiplication(B,c(C))))) ->
% 13.11/13.28  forward_diamond(multiplication(A,B),antidomain(C))
% 13.11/13.28  Current number of equations to process: 2701
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 489
% 13.11/13.28  New rule produced : [846] backward_box(A,c(c(B))) -> backward_box(A,B)
% 13.11/13.28  Rule
% 13.11/13.28  [753]
% 13.11/13.28  backward_box(sK3_goals_X0,c(c(sK1_goals_X2))) addition c(c(sK2_goals_X1)) ->
% 13.11/13.28  one collapsed.
% 13.11/13.28  Rule
% 13.11/13.28  [785]
% 13.11/13.28  multiplication(c(sK2_goals_X1),backward_box(sK3_goals_X0,c(c(sK1_goals_X2))))
% 13.11/13.28  -> c(sK2_goals_X1) collapsed.
% 13.11/13.28  Rule
% 13.11/13.28  [786]
% 13.11/13.28  multiplication(backward_box(sK3_goals_X0,c(c(sK1_goals_X2))),antidomain(sK2_goals_X1))
% 13.11/13.28  -> antidomain(sK2_goals_X1) collapsed.
% 13.11/13.28  Rule
% 13.11/13.28  [787]
% 13.11/13.28  multiplication(A,backward_box(sK3_goals_X0,c(c(sK1_goals_X2)))) addition A ->
% 13.11/13.28  A collapsed.
% 13.11/13.28  Rule
% 13.11/13.28  [788]
% 13.11/13.28  multiplication(backward_box(sK3_goals_X0,c(c(sK1_goals_X2))),A) addition A ->
% 13.11/13.28  A collapsed.
% 13.11/13.28  Rule
% 13.11/13.28  [794]
% 13.11/13.28  leq(multiplication(A,backward_box(sK3_goals_X0,c(c(sK1_goals_X2)))),A) ->
% 13.11/13.28  true collapsed.
% 13.11/13.28  Rule
% 13.11/13.28  [795]
% 13.11/13.28  leq(multiplication(backward_box(sK3_goals_X0,c(c(sK1_goals_X2))),A),A) ->
% 13.11/13.28  true collapsed.
% 13.11/13.28  Current number of equations to process: 2755
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 483
% 13.11/13.28  New rule produced :
% 13.11/13.28  [847]
% 13.11/13.28  backward_box(sK3_goals_X0,sK1_goals_X2) addition c(c(sK2_goals_X1)) -> one
% 13.11/13.28  Current number of equations to process: 2754
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 484
% 13.11/13.28  New rule produced :
% 13.11/13.28  [848]
% 13.11/13.28  multiplication(c(sK2_goals_X1),backward_box(sK3_goals_X0,sK1_goals_X2)) ->
% 13.11/13.28  c(sK2_goals_X1)
% 13.11/13.28  Current number of equations to process: 2753
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 485
% 13.11/13.28  New rule produced :
% 13.11/13.28  [849]
% 13.11/13.28  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),antidomain(sK2_goals_X1))
% 13.11/13.28  -> antidomain(sK2_goals_X1)
% 13.11/13.28  Current number of equations to process: 2752
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 486
% 13.11/13.28  New rule produced :
% 13.11/13.28  [850]
% 13.11/13.28  multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)) addition A -> A
% 13.11/13.28  Current number of equations to process: 2751
% 13.11/13.28  Current number of ordered equations: 0
% 13.11/13.28  Current number of rules: 487
% 13.11/13.28  New rule produced :
% 13.11/13.28  [851]
% 13.11/13.28  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A) addition A -> A
% 13.53/13.73  Current number of equations to process: 2750
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 488
% 13.53/13.73  New rule produced :
% 13.53/13.73  [852]
% 13.53/13.73  leq(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),A) -> true
% 13.53/13.73  Current number of equations to process: 2749
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 489
% 13.53/13.73  New rule produced :
% 13.53/13.73  [853]
% 13.53/13.73  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),A) -> true
% 13.53/13.73  Current number of equations to process: 2748
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 490
% 13.53/13.73  New rule produced :
% 13.53/13.73  [854]
% 13.53/13.73  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(B),C))
% 13.53/13.73  -> zero
% 13.53/13.73  Current number of equations to process: 2798
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 491
% 13.53/13.73  New rule produced :
% 13.53/13.73  [855]
% 13.53/13.73  c(multiplication(A,multiplication(B,c(C)))) ->
% 13.53/13.73  antidomain(forward_diamond(multiplication(A,B),antidomain(C)))
% 13.53/13.73  Rule
% 13.53/13.73  [844]
% 13.53/13.73  c(multiplication(A,multiplication(B,c(c(C))))) ->
% 13.53/13.73  antidomain(forward_diamond(multiplication(A,B),C)) collapsed.
% 13.53/13.73  Rule
% 13.53/13.73  [845]
% 13.53/13.73  c(c(multiplication(A,multiplication(B,c(C))))) ->
% 13.53/13.73  forward_diamond(multiplication(A,B),antidomain(C)) collapsed.
% 13.53/13.73  Current number of equations to process: 2853
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 490
% 13.53/13.73  New rule produced :
% 13.53/13.73  [856]
% 13.53/13.73  forward_diamond(antidomain(forward_diamond(A,antidomain(B))),multiplication(A,
% 13.53/13.73                                                               c(B))) -> zero
% 13.53/13.73  Current number of equations to process: 2852
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 491
% 13.53/13.73  New rule produced :
% 13.53/13.73  [857]
% 13.53/13.73  c(multiplication(A,backward_box(B,C))) ->
% 13.53/13.73  antidomain(forward_diamond(A,antidomain(backward_diamond(B,c(C)))))
% 13.53/13.73  Rule
% 13.53/13.73  [817]
% 13.53/13.73  c(c(multiplication(A,backward_box(B,C)))) ->
% 13.53/13.73  forward_diamond(A,antidomain(backward_diamond(B,c(C)))) collapsed.
% 13.53/13.73  Current number of equations to process: 2850
% 13.53/13.73  Current number of ordered equations: 2
% 13.53/13.73  Current number of rules: 491
% 13.53/13.73  New rule produced :
% 13.53/13.73  [858]
% 13.53/13.73  c(backward_diamond(A,antidomain(forward_diamond(B,antidomain(C))))) <->
% 13.53/13.73  backward_box(A,multiplication(B,c(C)))
% 13.53/13.73  Current number of equations to process: 2850
% 13.53/13.73  Current number of ordered equations: 1
% 13.53/13.73  Current number of rules: 492
% 13.53/13.73  New rule produced :
% 13.53/13.73  [859]
% 13.53/13.73  backward_box(A,multiplication(B,c(C))) <->
% 13.53/13.73  c(backward_diamond(A,antidomain(forward_diamond(B,antidomain(C)))))
% 13.53/13.73  Current number of equations to process: 2850
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 493
% 13.53/13.73  New rule produced :
% 13.53/13.73  [860]
% 13.53/13.73  c(c(forward_diamond(multiplication(A,B),C))) ->
% 13.53/13.73  forward_diamond(multiplication(A,B),C)
% 13.53/13.73  Current number of equations to process: 2849
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 494
% 13.53/13.73  New rule produced :
% 13.53/13.73  [861] ifeq2(one,antidomain(A),leq(c(c(A)),antidomain(A)),true) -> true
% 13.53/13.73  Current number of equations to process: 2848
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 495
% 13.53/13.73  New rule produced :
% 13.53/13.73  [862]
% 13.53/13.73  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,c(c(B))))) ->
% 13.53/13.73  true
% 13.53/13.73  Current number of equations to process: 2847
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 496
% 13.53/13.73  New rule produced :
% 13.53/13.73  [863] leq(antidomain(A) addition antidomain(B),one) -> true
% 13.53/13.73  Current number of equations to process: 2900
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 497
% 13.53/13.73  New rule produced : [864] leq(codomain(A) addition antidomain(B),one) -> true
% 13.53/13.73  Current number of equations to process: 2899
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 498
% 13.53/13.73  New rule produced :
% 13.53/13.73  [865] leq(coantidomain(A) addition antidomain(B),one) -> true
% 13.53/13.73  Current number of equations to process: 2898
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 499
% 13.53/13.73  New rule produced : [866] leq(c(A) addition antidomain(B),one) -> true
% 13.53/13.73  Current number of equations to process: 2903
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 500
% 13.53/13.73  New rule produced :
% 13.53/13.73  [867] leq(forward_diamond(A,B) addition antidomain(C),one) -> true
% 13.53/13.73  Current number of equations to process: 2902
% 13.53/13.73  Current number of ordered equations: 0
% 13.53/13.73  Current number of rules: 501
% 14.20/14.46  New rule produced :
% 14.20/14.46  [868] leq(backward_diamond(A,B) addition antidomain(C),one) -> true
% 14.20/14.46  Current number of equations to process: 2901
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 502
% 14.20/14.46  New rule produced : [869] leq(codomain(A) addition codomain(B),one) -> true
% 14.20/14.46  Current number of equations to process: 2905
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 503
% 14.20/14.46  New rule produced :
% 14.20/14.46  [870] leq(codomain(A) addition coantidomain(B),one) -> true
% 14.20/14.46  Current number of equations to process: 2904
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 504
% 14.20/14.46  New rule produced : [871] leq(c(A) addition codomain(B),one) -> true
% 14.20/14.46  Current number of equations to process: 2909
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 505
% 14.20/14.46  New rule produced :
% 14.20/14.46  [872] leq(forward_diamond(A,B) addition codomain(C),one) -> true
% 14.20/14.46  Current number of equations to process: 2908
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 506
% 14.20/14.46  New rule produced :
% 14.20/14.46  [873] leq(backward_diamond(A,B) addition codomain(C),one) -> true
% 14.20/14.46  Current number of equations to process: 2907
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 507
% 14.20/14.46  New rule produced :
% 14.20/14.46  [874] leq(coantidomain(A) addition coantidomain(B),one) -> true
% 14.20/14.46  Current number of equations to process: 2910
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 508
% 14.20/14.46  New rule produced : [875] leq(c(A) addition coantidomain(B),one) -> true
% 14.20/14.46  Current number of equations to process: 2915
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 509
% 14.20/14.46  New rule produced :
% 14.20/14.46  [876] leq(forward_diamond(A,B) addition coantidomain(C),one) -> true
% 14.20/14.46  Current number of equations to process: 2914
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 510
% 14.20/14.46  New rule produced :
% 14.20/14.46  [877] leq(backward_diamond(A,B) addition coantidomain(C),one) -> true
% 14.20/14.46  Current number of equations to process: 2913
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 511
% 14.20/14.46  New rule produced : [878] leq(c(A) addition c(B),one) -> true
% 14.20/14.46  Current number of equations to process: 2921
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 512
% 14.20/14.46  New rule produced : [879] leq(forward_diamond(A,B) addition c(C),one) -> true
% 14.20/14.46  Current number of equations to process: 2920
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 513
% 14.20/14.46  New rule produced :
% 14.20/14.46  [880] leq(backward_diamond(A,B) addition c(C),one) -> true
% 14.20/14.46  Current number of equations to process: 2919
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 514
% 14.20/14.46  New rule produced :
% 14.20/14.46  [881] leq(coantidomain(A) addition antidomain(B),one addition C) -> true
% 14.20/14.46  Current number of equations to process: 2923
% 14.20/14.46  Current number of ordered equations: 1
% 14.20/14.46  Current number of rules: 515
% 14.20/14.46  New rule produced :
% 14.20/14.46  [882] leq(codomain(A) addition antidomain(B),one addition C) -> true
% 14.20/14.46  Current number of equations to process: 2923
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 516
% 14.20/14.46  New rule produced :
% 14.20/14.46  [883] leq(antidomain(A) addition antidomain(B),one addition C) -> true
% 14.20/14.46  Current number of equations to process: 2926
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 517
% 14.20/14.46  New rule produced :
% 14.20/14.46  [884] leq(c(A) addition antidomain(B),one addition C) -> true
% 14.20/14.46  Current number of equations to process: 2973
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 518
% 14.20/14.46  New rule produced :
% 14.20/14.46  [885] leq(codomain(A) addition coantidomain(B),one addition C) -> true
% 14.20/14.46  Current number of equations to process: 2981
% 14.20/14.46  Current number of ordered equations: 1
% 14.20/14.46  Current number of rules: 519
% 14.20/14.46  New rule produced :
% 14.20/14.46  [886] leq(codomain(A) addition codomain(B),one addition C) -> true
% 14.20/14.46  Current number of equations to process: 2981
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 520
% 14.20/14.46  New rule produced :
% 14.20/14.46  [887]
% 14.20/14.46  leq(forward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 14.20/14.46  Current number of equations to process: 2999
% 14.20/14.46  Current number of ordered equations: 0
% 14.20/14.46  Current number of rules: 521
% 14.20/14.46  New rule produced :
% 14.20/14.46  [888]
% 14.20/14.46  leq(backward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 14.20/14.46  Current number of equations to process: 2998
% 14.20/14.46  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 522
% 15.53/15.77  New rule produced :
% 15.53/15.77  [889] leq(c(A) addition codomain(B),one addition C) -> true
% 15.53/15.77  Current number of equations to process: 3029
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 523
% 15.53/15.77  New rule produced :
% 15.53/15.77  [890] leq(coantidomain(A) addition coantidomain(B),one addition C) -> true
% 15.53/15.77  Current number of equations to process: 3037
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 524
% 15.53/15.77  New rule produced :
% 15.53/15.77  [891] leq(forward_diamond(A,B) addition codomain(C),one addition X0) -> true
% 15.53/15.77  Current number of equations to process: 3055
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 525
% 15.53/15.77  New rule produced :
% 15.53/15.77  [892] leq(backward_diamond(A,B) addition codomain(C),one addition X0) -> true
% 15.53/15.77  Current number of equations to process: 3054
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 526
% 15.53/15.77  New rule produced :
% 15.53/15.77  [893] leq(c(A) addition coantidomain(B),one addition C) -> true
% 15.53/15.77  Current number of equations to process: 3085
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 527
% 15.53/15.77  New rule produced :
% 15.53/15.77  [894]
% 15.53/15.77  leq(forward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 15.53/15.77  Current number of equations to process: 3111
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 528
% 15.53/15.77  New rule produced :
% 15.53/15.77  [895]
% 15.53/15.77  leq(backward_diamond(A,B) addition coantidomain(C),one addition X0) -> true
% 15.53/15.77  Current number of equations to process: 3110
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 529
% 15.53/15.77  New rule produced : [896] leq(c(A) addition c(B),one addition C) -> true
% 15.53/15.77  Current number of equations to process: 3141
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 530
% 15.53/15.77  New rule produced :
% 15.53/15.77  [897] leq(forward_diamond(A,B) addition c(C),one addition X0) -> true
% 15.53/15.77  Current number of equations to process: 3147
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 531
% 15.53/15.77  New rule produced :
% 15.53/15.77  [898] leq(backward_diamond(A,B) addition c(C),one addition X0) -> true
% 15.53/15.77  Current number of equations to process: 3146
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 532
% 15.53/15.77  New rule produced :
% 15.53/15.77  [899] leq(forward_diamond(A,B) addition forward_diamond(C,X0),one) -> true
% 15.53/15.77  Current number of equations to process: 3150
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 533
% 15.53/15.77  New rule produced :
% 15.53/15.77  [900] leq(backward_diamond(A,B) addition forward_diamond(C,X0),one) -> true
% 15.53/15.77  Current number of equations to process: 3149
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 534
% 15.53/15.77  New rule produced : [901] ifeq2(one,c(A),leq(c(c(A)),c(A)),true) -> true
% 15.53/15.77  Current number of equations to process: 3200
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 535
% 15.53/15.77  New rule produced :
% 15.53/15.77  [902]
% 15.53/15.77  multiplication(c(c(A)),multiplication(coantidomain(antidomain(A)),B)) ->
% 15.53/15.77  multiplication(coantidomain(antidomain(A)),B)
% 15.53/15.77  Current number of equations to process: 3241
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 536
% 15.53/15.77  New rule produced :
% 15.53/15.77  [903] leq(multiplication(c(c(A)),B) addition C,B addition C) -> true
% 15.53/15.77  Current number of equations to process: 3240
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 537
% 15.53/15.77  New rule produced :
% 15.53/15.77  [904]
% 15.53/15.77  antidomain(B) addition multiplication(antidomain(A),c(c(B))) ->
% 15.53/15.77  antidomain(A) addition antidomain(B)
% 15.53/15.77  Current number of equations to process: 3239
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 538
% 15.53/15.77  New rule produced :
% 15.53/15.77  [905]
% 15.53/15.77  antidomain(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 15.53/15.77  coantidomain(B) addition antidomain(A)
% 15.53/15.77  Current number of equations to process: 3238
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 539
% 15.53/15.77  New rule produced :
% 15.53/15.77  [906]
% 15.53/15.77  antidomain(B) addition multiplication(coantidomain(A),c(c(B))) ->
% 15.53/15.77  coantidomain(A) addition antidomain(B)
% 15.53/15.77  Current number of equations to process: 3237
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 540
% 15.53/15.77  New rule produced :
% 15.53/15.77  [907]
% 15.53/15.77  leq(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),A addition B)
% 15.53/15.77  -> true
% 15.53/15.77  Current number of equations to process: 3236
% 15.53/15.77  Current number of ordered equations: 0
% 15.53/15.77  Current number of rules: 541
% 15.63/15.88  New rule produced :
% 15.63/15.88  [908]
% 15.63/15.88  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),A addition B)
% 15.63/15.88  -> true
% 15.63/15.88  Current number of equations to process: 3235
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 542
% 15.63/15.88  New rule produced :
% 15.63/15.88  [909] multiplication(multiplication(A,c(c(B))),c(c(C))) addition A -> A
% 15.63/15.88  Current number of equations to process: 3234
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 543
% 15.63/15.88  New rule produced :
% 15.63/15.88  [910] multiplication(multiplication(c(c(A)),B),c(c(C))) addition B -> B
% 15.63/15.88  Current number of equations to process: 3233
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 544
% 15.63/15.88  New rule produced :
% 15.63/15.88  [911] multiplication(c(c(A)),multiplication(B,c(c(C)))) addition B -> B
% 15.63/15.88  Current number of equations to process: 3232
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 545
% 15.63/15.88  New rule produced :
% 15.63/15.88  [912] multiplication(c(c(A)),multiplication(c(c(B)),C)) addition C -> C
% 15.63/15.88  Current number of equations to process: 3231
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 546
% 15.63/15.88  New rule produced :
% 15.63/15.88  [913]
% 15.63/15.88  antidomain(A) addition multiplication(c(c(A)),antidomain(B)) ->
% 15.63/15.88  antidomain(A) addition antidomain(B)
% 15.63/15.88  Current number of equations to process: 3230
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 547
% 15.63/15.88  New rule produced :
% 15.63/15.88  [914]
% 15.63/15.88  antidomain(B) addition multiplication(codomain(A),c(c(B))) ->
% 15.63/15.88  codomain(A) addition antidomain(B)
% 15.63/15.88  Current number of equations to process: 3229
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 548
% 15.63/15.88  New rule produced :
% 15.63/15.88  [915]
% 15.63/15.88  antidomain(B) addition multiplication(c(c(B)),codomain(A)) ->
% 15.63/15.88  codomain(A) addition antidomain(B)
% 15.63/15.88  Current number of equations to process: 3228
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 549
% 15.63/15.88  New rule produced :
% 15.63/15.88  [916]
% 15.63/15.88  multiplication(multiplication(A,c(c(B))),c(c(B))) ->
% 15.63/15.88  multiplication(A,c(c(B)))
% 15.63/15.88  Current number of equations to process: 3227
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 550
% 15.63/15.88  New rule produced :
% 15.63/15.88  [917]
% 15.63/15.88  antidomain(multiplication(c(c(A)),c(c(multiplication(antidomain(A),B))))) ->
% 15.63/15.88  one
% 15.63/15.88  Current number of equations to process: 3226
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 551
% 15.63/15.88  New rule produced :
% 15.63/15.88  [918] antidomain(multiplication(c(A),c(c(multiplication(c(c(A)),B))))) -> one
% 15.63/15.88  Current number of equations to process: 3225
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 552
% 15.63/15.88  New rule produced :
% 15.63/15.88  [919]
% 15.63/15.88  leq(antidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 15.63/15.88  Current number of equations to process: 3223
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 553
% 15.63/15.88  New rule produced :
% 15.63/15.88  [920]
% 15.63/15.88  leq(codomain(A) addition antidomain(B) addition C,one addition C) -> true
% 15.63/15.88  Current number of equations to process: 3222
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 554
% 15.63/15.88  New rule produced :
% 15.63/15.88  [921]
% 15.63/15.88  leq(coantidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 15.63/15.88  Current number of equations to process: 3221
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 555
% 15.63/15.88  New rule produced :
% 15.63/15.88  [922] leq(c(A) addition antidomain(B) addition C,one addition C) -> true
% 15.63/15.88  Current number of equations to process: 3220
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 556
% 15.63/15.88  New rule produced :
% 15.63/15.88  [923] leq(codomain(A) addition codomain(B) addition C,one addition C) -> true
% 15.63/15.88  Current number of equations to process: 3218
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 557
% 15.63/15.88  New rule produced :
% 15.63/15.88  [924]
% 15.63/15.88  leq(codomain(A) addition coantidomain(B) addition C,one addition C) -> true
% 15.63/15.88  Current number of equations to process: 3217
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 558
% 15.63/15.88  New rule produced :
% 15.63/15.88  [925] leq(c(A) addition codomain(B) addition C,one addition C) -> true
% 15.63/15.88  Current number of equations to process: 3216
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 559
% 15.63/15.88  New rule produced :
% 15.63/15.88  [926]
% 15.63/15.88  leq(coantidomain(A) addition coantidomain(B) addition C,one addition C) ->
% 15.63/15.88  true
% 15.63/15.88  Current number of equations to process: 3213
% 15.63/15.88  Current number of ordered equations: 0
% 15.63/15.88  Current number of rules: 560
% 15.82/16.03  New rule produced :
% 15.82/16.03  [927] leq(c(A) addition coantidomain(B) addition C,one addition C) -> true
% 15.82/16.03  Current number of equations to process: 3212
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 561
% 15.82/16.03  New rule produced :
% 15.82/16.03  [928] leq(c(A) addition c(B) addition C,one addition C) -> true
% 15.82/16.03  Current number of equations to process: 3208
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 562
% 15.82/16.03  New rule produced :
% 15.82/16.03  [929]
% 15.82/16.03  leq(antidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3204
% 15.82/16.03  Current number of ordered equations: 1
% 15.82/16.03  Current number of rules: 563
% 15.82/16.03  New rule produced :
% 15.82/16.03  [930]
% 15.82/16.03  leq(antidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 15.82/16.03  -> true
% 15.82/16.03  Current number of equations to process: 3204
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 564
% 15.82/16.03  New rule produced :
% 15.82/16.03  [931]
% 15.82/16.03  leq(antidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3202
% 15.82/16.03  Current number of ordered equations: 1
% 15.82/16.03  Current number of rules: 565
% 15.82/16.03  New rule produced :
% 15.82/16.03  [932]
% 15.82/16.03  leq(antidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 15.82/16.03  -> true
% 15.82/16.03  Current number of equations to process: 3202
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 566
% 15.82/16.03  New rule produced :
% 15.82/16.03  [933]
% 15.82/16.03  leq(antidomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3200
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 567
% 15.82/16.03  New rule produced :
% 15.82/16.03  [934]
% 15.82/16.03  leq(antidomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3199
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 568
% 15.82/16.03  New rule produced :
% 15.82/16.03  [935]
% 15.82/16.03  leq(codomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3191
% 15.82/16.03  Current number of ordered equations: 1
% 15.82/16.03  Current number of rules: 569
% 15.82/16.03  New rule produced :
% 15.82/16.03  [936]
% 15.82/16.03  leq(codomain(A) addition multiplication(B,coantidomain(C)),one addition B) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3191
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 570
% 15.82/16.03  New rule produced :
% 15.82/16.03  [937]
% 15.82/16.03  leq(codomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3189
% 15.82/16.03  Current number of ordered equations: 1
% 15.82/16.03  Current number of rules: 571
% 15.82/16.03  New rule produced :
% 15.82/16.03  [938]
% 15.82/16.03  leq(codomain(A) addition multiplication(coantidomain(B),C),one addition C) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3189
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 572
% 15.82/16.03  New rule produced :
% 15.82/16.03  [939]
% 15.82/16.03  leq(codomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3187
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 573
% 15.82/16.03  New rule produced :
% 15.82/16.03  [940]
% 15.82/16.03  leq(codomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3186
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 574
% 15.82/16.03  New rule produced :
% 15.82/16.03  [941]
% 15.82/16.03  leq(coantidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3178
% 15.82/16.03  Current number of ordered equations: 1
% 15.82/16.03  Current number of rules: 575
% 15.82/16.03  New rule produced :
% 15.82/16.03  [942]
% 15.82/16.03  leq(coantidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 15.82/16.03  -> true
% 15.82/16.03  Current number of equations to process: 3178
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 576
% 15.82/16.03  New rule produced :
% 15.82/16.03  [943]
% 15.82/16.03  leq(coantidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 15.82/16.03  true
% 15.82/16.03  Current number of equations to process: 3176
% 15.82/16.03  Current number of ordered equations: 1
% 15.82/16.03  Current number of rules: 577
% 15.82/16.03  New rule produced :
% 15.82/16.03  [944]
% 15.82/16.03  leq(coantidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 15.82/16.03  -> true
% 15.82/16.03  Current number of equations to process: 3176
% 15.82/16.03  Current number of ordered equations: 0
% 15.82/16.03  Current number of rules: 578
% 15.82/16.03  New rule produced :
% 15.82/16.03  [945]
% 15.82/16.03  leq(coantidomain(A) addition multiplication(B,antidomain(C)),one addition B)
% 15.82/16.03  -> true
% 15.82/16.03  Current number of equations to process: 3174
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 579
% 16.72/16.90  New rule produced :
% 16.72/16.90  [946]
% 16.72/16.90  leq(coantidomain(A) addition multiplication(antidomain(B),C),one addition C)
% 16.72/16.90  -> true
% 16.72/16.90  Current number of equations to process: 3173
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 580
% 16.72/16.90  New rule produced :
% 16.72/16.90  [947] leq(c(A) addition multiplication(B,codomain(C)),one addition B) -> true
% 16.72/16.90  Current number of equations to process: 3165
% 16.72/16.90  Current number of ordered equations: 1
% 16.72/16.90  Current number of rules: 581
% 16.72/16.90  New rule produced :
% 16.72/16.90  [948]
% 16.72/16.90  leq(c(A) addition multiplication(B,coantidomain(C)),one addition B) -> true
% 16.72/16.90  Current number of equations to process: 3165
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 582
% 16.72/16.90  New rule produced :
% 16.72/16.90  [949] leq(c(A) addition multiplication(codomain(B),C),one addition C) -> true
% 16.72/16.90  Current number of equations to process: 3163
% 16.72/16.90  Current number of ordered equations: 1
% 16.72/16.90  Current number of rules: 583
% 16.72/16.90  New rule produced :
% 16.72/16.90  [950]
% 16.72/16.90  leq(c(A) addition multiplication(coantidomain(B),C),one addition C) -> true
% 16.72/16.90  Current number of equations to process: 3163
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 584
% 16.72/16.90  New rule produced :
% 16.72/16.90  [951]
% 16.72/16.90  leq(c(A) addition multiplication(B,antidomain(C)),one addition B) -> true
% 16.72/16.90  Current number of equations to process: 3161
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 585
% 16.72/16.90  New rule produced :
% 16.72/16.90  [952]
% 16.72/16.90  leq(c(A) addition multiplication(antidomain(B),C),one addition C) -> true
% 16.72/16.90  Current number of equations to process: 3160
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 586
% 16.72/16.90  New rule produced :
% 16.72/16.90  [953]
% 16.72/16.90  ifeq(leq(c(c(A)),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 16.72/16.90  Current number of equations to process: 3155
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 587
% 16.72/16.90  New rule produced : [954] ifeq(leq(c(c(A)),c(A)),true,one,c(A)) -> c(A)
% 16.72/16.90  Current number of equations to process: 3154
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 588
% 16.72/16.90  New rule produced :
% 16.72/16.90  [955] leq(backward_diamond(A,B) addition backward_diamond(C,X0),one) -> true
% 16.72/16.90  Current number of equations to process: 3196
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 589
% 16.72/16.90  New rule produced :
% 16.72/16.90  [956]
% 16.72/16.90  leq(forward_diamond(A,B) addition forward_diamond(C,X0),one addition X1) ->
% 16.72/16.90  true
% 16.72/16.90  Current number of equations to process: 3218
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 590
% 16.72/16.90  New rule produced :
% 16.72/16.90  [957]
% 16.72/16.90  leq(backward_diamond(A,B) addition forward_diamond(C,X0),one addition X1) ->
% 16.72/16.90  true
% 16.72/16.90  Current number of equations to process: 3217
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 591
% 16.72/16.90  New rule produced :
% 16.72/16.90  [958] forward_diamond(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 16.72/16.90  Current number of equations to process: 3257
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 592
% 16.72/16.90  New rule produced : [959] multiplication(c(A),A) -> zero
% 16.72/16.90  Rule [755] multiplication(c(c(A)),c(A)) -> zero collapsed.
% 16.72/16.90  Current number of equations to process: 3259
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 592
% 16.72/16.90  New rule produced :
% 16.72/16.90  [960] multiplication(c(A),coantidomain(antidomain(A))) -> zero
% 16.72/16.90  Current number of equations to process: 3258
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 593
% 16.72/16.90  New rule produced :
% 16.72/16.90  [961]
% 16.72/16.90  multiplication(c(A),multiplication(antidomain(A),B)) ->
% 16.72/16.90  multiplication(c(A),B)
% 16.72/16.90  Current number of equations to process: 3263
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 594
% 16.72/16.90  New rule produced : [962] multiplication(c(A),multiplication(A,B)) -> zero
% 16.72/16.90  Rule [769] multiplication(c(c(A)),multiplication(c(A),B)) -> zero collapsed.
% 16.72/16.90  Current number of equations to process: 3267
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 594
% 16.72/16.90  New rule produced :
% 16.72/16.90  [963]
% 16.72/16.90  multiplication(c(A),multiplication(coantidomain(antidomain(A)),B)) -> zero
% 16.72/16.90  Current number of equations to process: 3267
% 16.72/16.90  Current number of ordered equations: 0
% 16.72/16.90  Current number of rules: 595
% 16.72/16.90  New rule produced :
% 16.72/16.90  [964] leq(multiplication(codomain(A),antidomain(B)),one) -> true
% 16.72/16.90  Current number of equations to process: 3280
% 16.95/17.11  Current number of ordered equations: 1
% 16.95/17.11  Current number of rules: 596
% 16.95/17.11  New rule produced :
% 16.95/17.11  [965] leq(multiplication(coantidomain(A),antidomain(B)),one) -> true
% 16.95/17.11  Current number of equations to process: 3280
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 597
% 16.95/17.11  New rule produced :
% 16.95/17.11  [966] leq(multiplication(antidomain(A),antidomain(B)),one) -> true
% 16.95/17.11  Current number of equations to process: 3284
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 598
% 16.95/17.11  New rule produced :
% 16.95/17.11  [967] leq(multiplication(codomain(A),antidomain(B)),one addition C) -> true
% 16.95/17.11  Current number of equations to process: 3294
% 16.95/17.11  Current number of ordered equations: 1
% 16.95/17.11  Current number of rules: 599
% 16.95/17.11  New rule produced :
% 16.95/17.11  [968]
% 16.95/17.11  leq(multiplication(coantidomain(A),antidomain(B)),one addition C) -> true
% 16.95/17.11  Current number of equations to process: 3294
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 600
% 16.95/17.11  New rule produced :
% 16.95/17.11  [969] leq(multiplication(antidomain(A),antidomain(B)),one addition C) -> true
% 16.95/17.11  Current number of equations to process: 3293
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 601
% 16.95/17.11  New rule produced :
% 16.95/17.11  [970]
% 16.95/17.11  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A) -> true
% 16.95/17.11  Current number of equations to process: 3289
% 16.95/17.11  Current number of ordered equations: 1
% 16.95/17.11  Current number of rules: 602
% 16.95/17.11  New rule produced :
% 16.95/17.11  [971]
% 16.95/17.11  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A) ->
% 16.95/17.11  true
% 16.95/17.11  Current number of equations to process: 3289
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 603
% 16.95/17.11  New rule produced :
% 16.95/17.11  [972]
% 16.95/17.11  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B) -> true
% 16.95/17.11  Current number of equations to process: 3287
% 16.95/17.11  Current number of ordered equations: 1
% 16.95/17.11  Current number of rules: 604
% 16.95/17.11  New rule produced :
% 16.95/17.11  [973]
% 16.95/17.11  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B) ->
% 16.95/17.11  true
% 16.95/17.11  Current number of equations to process: 3287
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 605
% 16.95/17.11  New rule produced : [974] leq(multiplication(c(A),antidomain(B)),one) -> true
% 16.95/17.11  Current number of equations to process: 3302
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 606
% 16.95/17.11  New rule produced :
% 16.95/17.11  [975] leq(multiplication(antidomain(A),antidomain(B)),c(A)) -> true
% 16.95/17.11  Current number of equations to process: 3301
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 607
% 16.95/17.11  New rule produced :
% 16.95/17.11  [976] leq(multiplication(forward_diamond(A,B),antidomain(C)),one) -> true
% 16.95/17.11  Current number of equations to process: 3300
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 608
% 16.95/17.11  New rule produced :
% 16.95/17.11  [977] leq(multiplication(backward_diamond(A,B),antidomain(C)),one) -> true
% 16.95/17.11  Current number of equations to process: 3299
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 609
% 16.95/17.11  New rule produced :
% 16.95/17.11  [978] leq(multiplication(c(A),antidomain(B)),one addition C) -> true
% 16.95/17.11  Current number of equations to process: 3301
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 610
% 16.95/17.11  New rule produced :
% 16.95/17.11  [979]
% 16.95/17.11  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A) -> true
% 16.95/17.11  Current number of equations to process: 3300
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 611
% 16.95/17.11  New rule produced :
% 16.95/17.11  [980]
% 16.95/17.11  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B) -> true
% 16.95/17.11  Current number of equations to process: 3299
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 612
% 16.95/17.11  New rule produced :
% 16.95/17.11  [981] backward_diamond(codomain(codomain(A)),A) -> codomain(codomain(A))
% 16.95/17.11  Current number of equations to process: 3301
% 16.95/17.11  Current number of ordered equations: 0
% 16.95/17.11  Current number of rules: 613
% 16.95/17.11  Rule [134] backward_box(one,A) -> c(codomain(codomain(c(A)))) is composed into 
% 16.95/17.11  [134] backward_box(one,A) -> c(codomain(c(A)))
% 16.95/17.11  Rule [37] backward_diamond(one,A) -> codomain(codomain(A)) is composed into 
% 16.95/17.11  [37] backward_diamond(one,A) -> codomain(A)
% 16.95/17.11  New rule produced : [982] codomain(codomain(A)) -> codomain(A)
% 16.95/17.11  Rule [173] backward_diamond(codomain(codomain(A)),coantidomain(A)) -> zero
% 16.95/17.11  collapsed.
% 16.95/17.11  Rule
% 16.95/17.11  [413] codomain(codomain(A)) addition codomain(A) -> codomain(codomain(A))
% 17.26/17.47  collapsed.
% 17.26/17.47  Rule [460] multiplication(coantidomain(A),codomain(codomain(A))) -> zero
% 17.26/17.47  collapsed.
% 17.26/17.47  Rule [461] codomain(codomain(A)) addition coantidomain(A) -> one collapsed.
% 17.26/17.47  Rule [476] multiplication(codomain(codomain(A)),coantidomain(A)) -> zero
% 17.26/17.47  collapsed.
% 17.26/17.47  Rule
% 17.26/17.47  [486]
% 17.26/17.47  multiplication(A,codomain(codomain(B))) addition multiplication(A,coantidomain(B))
% 17.26/17.47  -> A collapsed.
% 17.26/17.47  Rule
% 17.26/17.47  [487]
% 17.26/17.47  multiplication(codomain(codomain(A)),B) addition multiplication(coantidomain(A),B)
% 17.26/17.47  -> B collapsed.
% 17.26/17.47  Rule
% 17.26/17.47  [643]
% 17.26/17.47  multiplication(multiplication(A,coantidomain(B)),codomain(codomain(B))) ->
% 17.26/17.47  zero collapsed.
% 17.26/17.47  Rule
% 17.26/17.47  [647]
% 17.26/17.47  multiplication(coantidomain(A),multiplication(codomain(codomain(A)),B)) ->
% 17.26/17.47  zero collapsed.
% 17.26/17.47  Rule
% 17.26/17.47  [720]
% 17.26/17.47  backward_diamond(codomain(codomain(codomain(A))),coantidomain(A)) -> zero
% 17.26/17.47  collapsed.
% 17.26/17.47  Rule [981] backward_diamond(codomain(codomain(A)),A) -> codomain(codomain(A))
% 17.26/17.47  collapsed.
% 17.26/17.47  Current number of equations to process: 3309
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 603
% 17.26/17.47  New rule produced : [983] backward_diamond(codomain(A),A) -> codomain(A)
% 17.26/17.47  Current number of equations to process: 3308
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 604
% 17.26/17.47  New rule produced :
% 17.26/17.47  [984] backward_diamond(codomain(A),coantidomain(A)) -> zero
% 17.26/17.47  Rule
% 17.26/17.47  [719]
% 17.26/17.47  backward_diamond(codomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 17.26/17.47  -> zero collapsed.
% 17.26/17.47  Current number of equations to process: 3307
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 604
% 17.26/17.47  New rule produced :
% 17.26/17.47  [985] multiplication(A,multiplication(codomain(A),B)) -> multiplication(A,B)
% 17.26/17.47  Current number of equations to process: 3314
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 605
% 17.26/17.47  New rule produced :
% 17.26/17.47  [986]
% 17.26/17.47  codomain(antidomain(A)) addition antidomain(A) -> codomain(antidomain(A))
% 17.26/17.47  Current number of equations to process: 3318
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 606
% 17.26/17.47  New rule produced :
% 17.26/17.47  [987]
% 17.26/17.47  backward_diamond(multiplication(codomain(B),A),B) -> backward_diamond(A,B)
% 17.26/17.47  Current number of equations to process: 3321
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 607
% 17.26/17.47  New rule produced :
% 17.26/17.47  [988]
% 17.26/17.47  multiplication(multiplication(A,B),coantidomain(backward_diamond(B,A))) ->
% 17.26/17.47  zero
% 17.26/17.47  Current number of equations to process: 3320
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 608
% 17.26/17.47  New rule produced :
% 17.26/17.47  [989] coantidomain(A) addition antidomain(codomain(A)) -> coantidomain(A)
% 17.26/17.47  Current number of equations to process: 3327
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 609
% 17.26/17.47  New rule produced :
% 17.26/17.47  [990] codomain(A) addition antidomain(coantidomain(A)) -> codomain(A)
% 17.26/17.47  Current number of equations to process: 3339
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 610
% 17.26/17.47  New rule produced :
% 17.26/17.47  [991]
% 17.26/17.47  multiplication(multiplication(codomain(A),B),backward_diamond(B,A)) ->
% 17.26/17.47  multiplication(codomain(A),B)
% 17.26/17.47  Current number of equations to process: 3353
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 611
% 17.26/17.47  New rule produced :
% 17.26/17.47  [992]
% 17.26/17.47  forward_diamond(multiplication(A,multiplication(B,multiplication(C,c(X0)))),X0)
% 17.26/17.47  -> zero
% 17.26/17.47  Current number of equations to process: 3354
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 612
% 17.26/17.47  New rule produced :
% 17.26/17.47  [993]
% 17.26/17.47  multiplication(multiplication(c(A),B),coantidomain(multiplication(antidomain(A),B)))
% 17.26/17.47  -> zero
% 17.26/17.47  Current number of equations to process: 3353
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 613
% 17.26/17.47  New rule produced :
% 17.26/17.47  [994]
% 17.26/17.47  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B)) ->
% 17.26/17.47  true
% 17.26/17.47  Current number of equations to process: 3352
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 614
% 17.26/17.47  New rule produced :
% 17.26/17.47  [995]
% 17.26/17.47  leq(multiplication(antidomain(A),antidomain(B)),c(A) addition C) -> true
% 17.26/17.47  Current number of equations to process: 3351
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 615
% 17.26/17.47  New rule produced :
% 17.26/17.47  [996]
% 17.26/17.47  leq(multiplication(forward_diamond(A,B),antidomain(C)),one addition X0) ->
% 17.26/17.47  true
% 17.26/17.47  Current number of equations to process: 3350
% 17.26/17.47  Current number of ordered equations: 0
% 17.26/17.47  Current number of rules: 616
% 17.77/17.94  New rule produced :
% 17.77/17.94  [997]
% 17.77/17.94  leq(multiplication(backward_diamond(A,B),antidomain(C)),one addition X0) ->
% 17.77/17.94  true
% 17.77/17.94  Current number of equations to process: 3349
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 617
% 17.77/17.94  New rule produced :
% 17.77/17.94  [998]
% 17.77/17.94  multiplication(multiplication(A,B),multiplication(codomain(B),C)) ->
% 17.77/17.94  multiplication(A,multiplication(B,C))
% 17.77/17.94  Current number of equations to process: 3346
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 618
% 17.77/17.94  New rule produced :
% 17.77/17.94  [999]
% 17.77/17.94  multiplication(antidomain(codomain(A)),multiplication(coantidomain(A),B)) ->
% 17.77/17.94  multiplication(antidomain(codomain(A)),B)
% 17.77/17.94  Current number of equations to process: 3340
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 619
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1000]
% 17.77/17.94  multiplication(antidomain(coantidomain(A)),multiplication(codomain(A),B)) ->
% 17.77/17.94  multiplication(antidomain(coantidomain(A)),B)
% 17.77/17.94  Current number of equations to process: 3339
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 620
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1001]
% 17.77/17.94  multiplication(multiplication(antidomain(coantidomain(A)),B),coantidomain(
% 17.77/17.94                                                               backward_diamond(B,A)))
% 17.77/17.94  -> zero
% 17.77/17.94  Current number of equations to process: 3338
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 621
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1002]
% 17.77/17.94  backward_diamond(codomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 17.77/17.94  -> codomain(backward_diamond(A,B))
% 17.77/17.94  Current number of equations to process: 3337
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 622
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1003]
% 17.77/17.94  multiplication(antidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 17.77/17.94  -> antidomain(backward_diamond(A,B))
% 17.77/17.94  Current number of equations to process: 3336
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 623
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1004]
% 17.77/17.94  multiplication(coantidomain(A),multiplication(coantidomain(A),B)) ->
% 17.77/17.94  multiplication(coantidomain(A),B)
% 17.77/17.94  Current number of equations to process: 3367
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 624
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1005] multiplication(c(A),codomain(antidomain(A))) -> c(A)
% 17.77/17.94  Current number of equations to process: 3384
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 625
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1006] leq(multiplication(A,backward_diamond(B,C)),A) -> true
% 17.77/17.94  Current number of equations to process: 3385
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 626
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1007] leq(multiplication(coantidomain(A),codomain(B)),one) -> true
% 17.77/17.94  Current number of equations to process: 3404
% 17.77/17.94  Current number of ordered equations: 1
% 17.77/17.94  Current number of rules: 627
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1008] leq(multiplication(codomain(A),codomain(B)),one) -> true
% 17.77/17.94  Current number of equations to process: 3404
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 628
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1009] leq(multiplication(antidomain(A),codomain(B)),one) -> true
% 17.77/17.94  Current number of equations to process: 3408
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 629
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1010] leq(multiplication(A,backward_diamond(B,C)),A addition X0) -> true
% 17.77/17.94  Current number of equations to process: 3421
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 630
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1011]
% 17.77/17.94  leq(multiplication(coantidomain(A),codomain(B)),one addition C) -> true
% 17.77/17.94  Current number of equations to process: 3419
% 17.77/17.94  Current number of ordered equations: 1
% 17.77/17.94  Current number of rules: 631
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1012] leq(multiplication(codomain(A),codomain(B)),one addition C) -> true
% 17.77/17.94  Current number of equations to process: 3419
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 632
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1013] leq(multiplication(antidomain(A),codomain(B)),one addition C) -> true
% 17.77/17.94  Current number of equations to process: 3418
% 17.77/17.94  Current number of ordered equations: 0
% 17.77/17.94  Current number of rules: 633
% 17.77/17.94  New rule produced :
% 17.77/17.94  [1014]
% 17.77/17.94  leq(multiplication(multiplication(A,codomain(B)),codomain(C)),A) -> true
% 17.77/17.94  Current number of equations to process: 3414
% 17.77/17.94  Current number of ordered equations: 1
% 17.77/17.94  Current number of rules: 634
% 17.77/17.94  New rule produced :
% 17.93/18.17  [1015]
% 17.93/18.17  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A) -> true
% 17.93/18.17  Current number of equations to process: 3414
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 635
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1016]
% 17.93/18.17  leq(multiplication(multiplication(codomain(A),B),codomain(C)),B) -> true
% 17.93/18.17  Current number of equations to process: 3412
% 17.93/18.17  Current number of ordered equations: 1
% 17.93/18.17  Current number of rules: 636
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1017]
% 17.93/18.17  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B) -> true
% 17.93/18.17  Current number of equations to process: 3412
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 637
% 17.93/18.17  New rule produced : [1018] leq(multiplication(c(A),codomain(B)),one) -> true
% 17.93/18.17  Current number of equations to process: 3427
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 638
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1019] leq(multiplication(antidomain(A),codomain(B)),c(A)) -> true
% 17.93/18.17  Current number of equations to process: 3426
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 639
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1020] leq(multiplication(forward_diamond(A,B),codomain(C)),one) -> true
% 17.93/18.17  Current number of equations to process: 3425
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 640
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1021] leq(multiplication(backward_diamond(A,B),codomain(C)),one) -> true
% 17.93/18.17  Current number of equations to process: 3424
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 641
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1022] leq(multiplication(c(A),codomain(B)),one addition C) -> true
% 17.93/18.17  Current number of equations to process: 3426
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 642
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1023]
% 17.93/18.17  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A) -> true
% 17.93/18.17  Current number of equations to process: 3425
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 643
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1024]
% 17.93/18.17  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B) -> true
% 17.93/18.17  Current number of equations to process: 3424
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 644
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1025] leq(multiplication(codomain(A),coantidomain(B)),one) -> true
% 17.93/18.17  Current number of equations to process: 3431
% 17.93/18.17  Current number of ordered equations: 1
% 17.93/18.17  Current number of rules: 645
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1026] leq(multiplication(coantidomain(A),coantidomain(B)),one) -> true
% 17.93/18.17  Current number of equations to process: 3431
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 646
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1027] leq(multiplication(antidomain(A),coantidomain(B)),one) -> true
% 17.93/18.17  Current number of equations to process: 3435
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 647
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1028]
% 17.93/18.17  leq(multiplication(codomain(A),coantidomain(B)),one addition C) -> true
% 17.93/18.17  Current number of equations to process: 3445
% 17.93/18.17  Current number of ordered equations: 1
% 17.93/18.17  Current number of rules: 648
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1029]
% 17.93/18.17  leq(multiplication(coantidomain(A),coantidomain(B)),one addition C) -> true
% 17.93/18.17  Current number of equations to process: 3445
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 649
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1030]
% 17.93/18.17  leq(multiplication(antidomain(A),coantidomain(B)),one addition C) -> true
% 17.93/18.17  Current number of equations to process: 3444
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 650
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1031]
% 17.93/18.17  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A) -> true
% 17.93/18.17  Current number of equations to process: 3440
% 17.93/18.17  Current number of ordered equations: 1
% 17.93/18.17  Current number of rules: 651
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1032]
% 17.93/18.17  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),A) ->
% 17.93/18.17  true
% 17.93/18.17  Current number of equations to process: 3440
% 17.93/18.17  Current number of ordered equations: 0
% 17.93/18.17  Current number of rules: 652
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1033]
% 17.93/18.17  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B) -> true
% 17.93/18.17  Current number of equations to process: 3438
% 17.93/18.17  Current number of ordered equations: 1
% 17.93/18.17  Current number of rules: 653
% 17.93/18.17  New rule produced :
% 17.93/18.17  [1034]
% 17.93/18.17  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),B) ->
% 17.93/18.17  true
% 17.93/18.17  Current number of equations to process: 3438
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 654
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1035] leq(multiplication(c(A),coantidomain(B)),one) -> true
% 18.83/19.00  Current number of equations to process: 3453
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 655
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1036] leq(multiplication(antidomain(A),coantidomain(B)),c(A)) -> true
% 18.83/19.00  Current number of equations to process: 3452
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 656
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1037] leq(multiplication(forward_diamond(A,B),coantidomain(C)),one) -> true
% 18.83/19.00  Current number of equations to process: 3451
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 657
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1038] leq(multiplication(backward_diamond(A,B),coantidomain(C)),one) -> true
% 18.83/19.00  Current number of equations to process: 3450
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 658
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1039] leq(multiplication(c(A),coantidomain(B)),one addition C) -> true
% 18.83/19.00  Current number of equations to process: 3452
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 659
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1040]
% 18.83/19.00  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A) ->
% 18.83/19.00  true
% 18.83/19.00  Current number of equations to process: 3451
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 660
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1041]
% 18.83/19.00  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B) ->
% 18.83/19.00  true
% 18.83/19.00  Current number of equations to process: 3450
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 661
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1042]
% 18.83/19.00  multiplication(multiplication(multiplication(A,B),C),coantidomain(backward_diamond(C,B)))
% 18.83/19.00  -> zero
% 18.83/19.00  Current number of equations to process: 3460
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 662
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1043]
% 18.83/19.00  leq(multiplication(A,multiplication(B,codomain(C))),multiplication(A,B)) ->
% 18.83/19.00  true
% 18.83/19.00  Current number of equations to process: 3459
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 663
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1044]
% 18.83/19.00  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B))
% 18.83/19.00  -> true
% 18.83/19.00  Current number of equations to process: 3458
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 664
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1045] leq(multiplication(antidomain(A),codomain(B)),c(A) addition C) -> true
% 18.83/19.00  Current number of equations to process: 3457
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 665
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1046]
% 18.83/19.00  leq(multiplication(forward_diamond(A,B),codomain(C)),one addition X0) -> true
% 18.83/19.00  Current number of equations to process: 3456
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 666
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1047]
% 18.83/19.00  leq(multiplication(backward_diamond(A,B),codomain(C)),one addition X0) ->
% 18.83/19.00  true
% 18.83/19.00  Current number of equations to process: 3455
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 667
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1048]
% 18.83/19.00  leq(multiplication(antidomain(A),coantidomain(B)),c(A) addition C) -> true
% 18.83/19.00  Current number of equations to process: 3452
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 668
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1049]
% 18.83/19.00  leq(multiplication(forward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 18.83/19.00  true
% 18.83/19.00  Current number of equations to process: 3451
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 669
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1050]
% 18.83/19.00  leq(multiplication(backward_diamond(A,B),coantidomain(C)),one addition X0) ->
% 18.83/19.00  true
% 18.83/19.00  Current number of equations to process: 3450
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 670
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1051] multiplication(c(codomain(A)),coantidomain(A)) -> c(codomain(A))
% 18.83/19.00  Current number of equations to process: 3450
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 671
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1052] multiplication(c(coantidomain(A)),codomain(A)) -> c(coantidomain(A))
% 18.83/19.00  Current number of equations to process: 3463
% 18.83/19.00  Current number of ordered equations: 0
% 18.83/19.00  Current number of rules: 672
% 18.83/19.00  New rule produced :
% 18.83/19.00  [1053]
% 18.83/19.00  multiplication(multiplication(A,antidomain(B)),antidomain(B)) ->
% 18.83/19.00  multiplication(A,antidomain(B))
% 19.24/19.43  Current number of equations to process: 3560
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 673
% 19.24/19.43  New rule produced : [1054] leq(antidomain(A),codomain(antidomain(A))) -> true
% 19.24/19.43  Current number of equations to process: 3566
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 674
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1055] leq(antidomain(codomain(A)),coantidomain(A)) -> true
% 19.24/19.43  Current number of equations to process: 3566
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 675
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1056] leq(antidomain(coantidomain(A)),codomain(A)) -> true
% 19.24/19.43  Current number of equations to process: 3566
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 676
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1057]
% 19.24/19.43  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B) -> true
% 19.24/19.43  Current number of equations to process: 3582
% 19.24/19.43  Current number of ordered equations: 1
% 19.24/19.43  Current number of rules: 677
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1058]
% 19.24/19.43  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B) ->
% 19.24/19.43  true
% 19.24/19.43  Current number of equations to process: 3582
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 678
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1059]
% 19.24/19.43  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C) -> true
% 19.24/19.43  Current number of equations to process: 3580
% 19.24/19.43  Current number of ordered equations: 1
% 19.24/19.43  Current number of rules: 679
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1060]
% 19.24/19.43  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C) ->
% 19.24/19.43  true
% 19.24/19.43  Current number of equations to process: 3580
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 680
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1061] leq(multiplication(antidomain(A),c(B)),one) -> true
% 19.24/19.43  Current number of equations to process: 3595
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 681
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1062] leq(multiplication(antidomain(A),antidomain(B)),c(B)) -> true
% 19.24/19.43  Current number of equations to process: 3594
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 682
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1063] leq(multiplication(antidomain(A),forward_diamond(B,C)),one) -> true
% 19.24/19.43  Current number of equations to process: 3593
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 683
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1064] leq(multiplication(antidomain(A),backward_diamond(B,C)),one) -> true
% 19.24/19.43  Current number of equations to process: 3592
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 684
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1065] leq(multiplication(antidomain(A),c(B)),one addition C) -> true
% 19.24/19.43  Current number of equations to process: 3594
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 685
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1066]
% 19.24/19.43  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B) -> true
% 19.24/19.43  Current number of equations to process: 3593
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 686
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1067]
% 19.24/19.43  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C) -> true
% 19.24/19.43  Current number of equations to process: 3592
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 687
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1068] leq(antidomain(A),codomain(antidomain(A)) addition B) -> true
% 19.24/19.43  Current number of equations to process: 3594
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 688
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1069] leq(antidomain(codomain(A)),coantidomain(A) addition B) -> true
% 19.24/19.43  Current number of equations to process: 3593
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 689
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1070] leq(antidomain(coantidomain(A)),codomain(A) addition B) -> true
% 19.24/19.43  Current number of equations to process: 3592
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 690
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1071]
% 19.24/19.43  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C)) ->
% 19.24/19.43  true
% 19.24/19.43  Current number of equations to process: 3609
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 691
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1072]
% 19.24/19.43  leq(multiplication(antidomain(A),antidomain(B)),c(B) addition C) -> true
% 19.24/19.43  Current number of equations to process: 3608
% 19.24/19.43  Current number of ordered equations: 0
% 19.24/19.43  Current number of rules: 692
% 19.24/19.43  New rule produced :
% 19.24/19.43  [1073]
% 19.24/19.43  leq(multiplication(antidomain(A),forward_diamond(B,C)),one addition X0) ->
% 19.84/20.02  true
% 19.84/20.02  Current number of equations to process: 3607
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 693
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1074]
% 19.84/20.02  leq(multiplication(antidomain(A),backward_diamond(B,C)),one addition X0) ->
% 19.84/20.02  true
% 19.84/20.02  Current number of equations to process: 3606
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 694
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1075]
% 19.84/20.02  multiplication(backward_diamond(A,B),backward_diamond(A,B)) ->
% 19.84/20.02  backward_diamond(A,B)
% 19.84/20.02  Current number of equations to process: 3641
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 695
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1076]
% 19.84/20.02  multiplication(multiplication(A,codomain(B)),codomain(B)) ->
% 19.84/20.02  multiplication(A,codomain(B))
% 19.84/20.02  Current number of equations to process: 3640
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 696
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1077]
% 19.84/20.02  backward_diamond(codomain(B) addition A,B) ->
% 19.84/20.02  backward_diamond(one addition A,B)
% 19.84/20.02  Current number of equations to process: 3642
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 697
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1078] leq(multiplication(backward_diamond(A,B),C),C) -> true
% 19.84/20.02  Current number of equations to process: 3644
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 698
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1079]
% 19.84/20.02  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(B,A)))
% 19.84/20.02  -> zero
% 19.84/20.02  Current number of equations to process: 3676
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 699
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1080] leq(multiplication(backward_diamond(A,B),C),C addition X0) -> true
% 19.84/20.02  Current number of equations to process: 3675
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 700
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1081]
% 19.84/20.02  leq(multiplication(codomain(A),multiplication(B,codomain(C))),B) -> true
% 19.84/20.02  Current number of equations to process: 3673
% 19.84/20.02  Current number of ordered equations: 1
% 19.84/20.02  Current number of rules: 701
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1082]
% 19.84/20.02  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B) -> true
% 19.84/20.02  Current number of equations to process: 3673
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 702
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1083]
% 19.84/20.02  leq(multiplication(codomain(A),multiplication(codomain(B),C)),C) -> true
% 19.84/20.02  Current number of equations to process: 3671
% 19.84/20.02  Current number of ordered equations: 1
% 19.84/20.02  Current number of rules: 703
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1084]
% 19.84/20.02  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C) -> true
% 19.84/20.02  Current number of equations to process: 3671
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 704
% 19.84/20.02  New rule produced : [1085] leq(multiplication(codomain(A),c(B)),one) -> true
% 19.84/20.02  Current number of equations to process: 3686
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 705
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1086] leq(multiplication(codomain(A),antidomain(B)),c(B)) -> true
% 19.84/20.02  Current number of equations to process: 3685
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 706
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1087] leq(multiplication(codomain(A),forward_diamond(B,C)),one) -> true
% 19.84/20.02  Current number of equations to process: 3684
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 707
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1088] leq(multiplication(codomain(A),backward_diamond(B,C)),one) -> true
% 19.84/20.02  Current number of equations to process: 3683
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 708
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1089] leq(multiplication(codomain(A),c(B)),one addition C) -> true
% 19.84/20.02  Current number of equations to process: 3685
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 709
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1090]
% 19.84/20.02  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B) -> true
% 19.84/20.02  Current number of equations to process: 3684
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 710
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1091]
% 19.84/20.02  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C) -> true
% 19.84/20.02  Current number of equations to process: 3683
% 19.84/20.02  Current number of ordered equations: 0
% 19.84/20.02  Current number of rules: 711
% 19.84/20.02  New rule produced :
% 19.84/20.02  [1092]
% 19.84/20.02  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B) -> true
% 20.14/20.31  Current number of equations to process: 3700
% 20.14/20.31  Current number of ordered equations: 1
% 20.14/20.31  Current number of rules: 712
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1093]
% 20.14/20.31  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),B) ->
% 20.14/20.31  true
% 20.14/20.31  Current number of equations to process: 3700
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 713
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1094]
% 20.14/20.31  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C) -> true
% 20.14/20.31  Current number of equations to process: 3698
% 20.14/20.31  Current number of ordered equations: 1
% 20.14/20.31  Current number of rules: 714
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1095]
% 20.14/20.31  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),C) ->
% 20.14/20.31  true
% 20.14/20.31  Current number of equations to process: 3698
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 715
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1096] leq(multiplication(coantidomain(A),c(B)),one) -> true
% 20.14/20.31  Current number of equations to process: 3713
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 716
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1097] leq(multiplication(coantidomain(A),antidomain(B)),c(B)) -> true
% 20.14/20.31  Current number of equations to process: 3712
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 717
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1098] leq(multiplication(coantidomain(A),forward_diamond(B,C)),one) -> true
% 20.14/20.31  Current number of equations to process: 3711
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 718
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1099] leq(multiplication(coantidomain(A),backward_diamond(B,C)),one) -> true
% 20.14/20.31  Current number of equations to process: 3710
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 719
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1100] leq(multiplication(coantidomain(A),c(B)),one addition C) -> true
% 20.14/20.31  Current number of equations to process: 3712
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 720
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1101]
% 20.14/20.31  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B) ->
% 20.14/20.31  true
% 20.14/20.31  Current number of equations to process: 3711
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 721
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1102]
% 20.14/20.31  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C) ->
% 20.14/20.31  true
% 20.14/20.31  Current number of equations to process: 3710
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 722
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1103]
% 20.14/20.31  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B) -> true
% 20.14/20.31  Current number of equations to process: 3730
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 723
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1104]
% 20.14/20.31  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 20.14/20.31  Current number of equations to process: 3729
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 724
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1105]
% 20.14/20.31  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 20.14/20.31  Current number of equations to process: 3728
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 725
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1106]
% 20.14/20.31  leq(multiplication(multiplication(codomain(A),B),C),multiplication(B,C)) ->
% 20.14/20.31  true
% 20.14/20.31  Current number of equations to process: 3727
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 726
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1107]
% 20.14/20.31  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C))
% 20.14/20.31  -> true
% 20.14/20.31  Current number of equations to process: 3726
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 727
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1108] leq(multiplication(codomain(A),antidomain(B)),c(B) addition C) -> true
% 20.14/20.31  Current number of equations to process: 3725
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 728
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1109]
% 20.14/20.31  leq(multiplication(codomain(A),forward_diamond(B,C)),one addition X0) -> true
% 20.14/20.31  Current number of equations to process: 3724
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 729
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1110]
% 20.14/20.31  leq(multiplication(codomain(A),backward_diamond(B,C)),one addition X0) ->
% 20.14/20.31  true
% 20.14/20.31  Current number of equations to process: 3723
% 20.14/20.31  Current number of ordered equations: 0
% 20.14/20.31  Current number of rules: 730
% 20.14/20.31  New rule produced :
% 20.14/20.31  [1111]
% 20.14/20.31  leq(multiplication(coantidomain(A),antidomain(B)),c(B) addition C) -> true
% 20.14/20.31  Current number of equations to process: 3720
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 731
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1112]
% 20.84/21.00  leq(multiplication(coantidomain(A),forward_diamond(B,C)),one addition X0) ->
% 20.84/21.00  true
% 20.84/21.00  Current number of equations to process: 3719
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 732
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1113]
% 20.84/21.00  leq(multiplication(coantidomain(A),backward_diamond(B,C)),one addition X0) ->
% 20.84/21.00  true
% 20.84/21.00  Current number of equations to process: 3718
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 733
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1114]
% 20.84/21.00  multiplication(multiplication(A,B),multiplication(C,coantidomain(backward_diamond(C,B))))
% 20.84/21.00  -> zero
% 20.84/21.00  Current number of equations to process: 3838
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 734
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1115]
% 20.84/21.00  backward_diamond(multiplication(A,B),codomain(C)) ->
% 20.84/21.00  backward_diamond(multiplication(A,B),C)
% 20.84/21.00  Current number of equations to process: 3841
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 735
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1116]
% 20.84/21.00  leq(backward_diamond(A,B) addition backward_diamond(C,X0),one addition X1) ->
% 20.84/21.00  true
% 20.84/21.00  Current number of equations to process: 3858
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 736
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1117]
% 20.84/21.00  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A addition X0)
% 20.84/21.00  -> true
% 20.84/21.00  Current number of equations to process: 3856
% 20.84/21.00  Current number of ordered equations: 1
% 20.84/21.00  Current number of rules: 737
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1118]
% 20.84/21.00  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A addition X0)
% 20.84/21.00  -> true
% 20.84/21.00  Current number of equations to process: 3856
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 738
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1119]
% 20.84/21.00  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B addition X0)
% 20.84/21.00  -> true
% 20.84/21.00  Current number of equations to process: 3854
% 20.84/21.00  Current number of ordered equations: 1
% 20.84/21.00  Current number of rules: 739
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1120]
% 20.84/21.00  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B addition X0)
% 20.84/21.00  -> true
% 20.84/21.00  Current number of equations to process: 3854
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 740
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1121]
% 20.84/21.00  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A addition X0)
% 20.84/21.00  -> true
% 20.84/21.00  Current number of equations to process: 3853
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 741
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1122]
% 20.84/21.00  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B addition X0)
% 20.84/21.00  -> true
% 20.84/21.00  Current number of equations to process: 3852
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 742
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1123]
% 20.84/21.00  multiplication(multiplication(A,B),coantidomain(multiplication(B,codomain(
% 20.84/21.00                                                                   multiplication(A,B)))))
% 20.84/21.00  -> zero
% 20.84/21.00  Current number of equations to process: 3846
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 743
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1124]
% 20.84/21.00  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 20.84/21.00                                                           multiplication(
% 20.84/21.00                                                           coantidomain(A),B)))
% 20.84/21.00  -> zero
% 20.84/21.00  Current number of equations to process: 3845
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 744
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1125]
% 20.84/21.00  multiplication(antidomain(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 20.84/21.00  -> antidomain(coantidomain(backward_diamond(A,B)))
% 20.84/21.00  Current number of equations to process: 3844
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 745
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1126]
% 20.84/21.00  leq(antidomain(A) addition multiplication(c(A),antidomain(B)),c(A)) -> true
% 20.84/21.00  Current number of equations to process: 3843
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 746
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1127]
% 20.84/21.00  leq(multiplication(A,antidomain(B)) addition multiplication(A,antidomain(C)),A)
% 20.84/21.00  -> true
% 20.84/21.00  Current number of equations to process: 3842
% 20.84/21.00  Current number of ordered equations: 0
% 20.84/21.00  Current number of rules: 747
% 20.84/21.00  New rule produced :
% 20.84/21.00  [1128]
% 20.84/21.00  leq(multiplication(antidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3841
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 748
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1129]
% 20.95/21.13  leq(multiplication(A,codomain(B)) addition multiplication(A,antidomain(C)),A)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3840
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 749
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1130]
% 20.95/21.13  leq(multiplication(codomain(A),B) addition multiplication(B,antidomain(C)),B)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3839
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 750
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1131]
% 20.95/21.13  leq(multiplication(A,coantidomain(B)) addition multiplication(A,antidomain(C)),A)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3838
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 751
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1132]
% 20.95/21.13  leq(multiplication(coantidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3837
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 752
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1133]
% 20.95/21.13  leq(multiplication(multiplication(A,codomain(B)),codomain(C)),A addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3834
% 20.95/21.13  Current number of ordered equations: 1
% 20.95/21.13  Current number of rules: 753
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1134]
% 20.95/21.13  leq(multiplication(multiplication(A,coantidomain(B)),codomain(C)),A addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3834
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 754
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1135]
% 20.95/21.13  leq(multiplication(multiplication(codomain(A),B),codomain(C)),B addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3832
% 20.95/21.13  Current number of ordered equations: 1
% 20.95/21.13  Current number of rules: 755
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1136]
% 20.95/21.13  leq(multiplication(multiplication(coantidomain(A),B),codomain(C)),B addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3832
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 756
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1137]
% 20.95/21.13  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3831
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 757
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1138]
% 20.95/21.13  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3830
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 758
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1139]
% 20.95/21.13  leq(multiplication(multiplication(A,codomain(B)),coantidomain(C)),A addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3823
% 20.95/21.13  Current number of ordered equations: 1
% 20.95/21.13  Current number of rules: 759
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1140]
% 20.95/21.13  leq(multiplication(multiplication(A,coantidomain(B)),coantidomain(C)),
% 20.95/21.13  A addition X0) -> true
% 20.95/21.13  Current number of equations to process: 3823
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 760
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1141]
% 20.95/21.13  leq(multiplication(multiplication(codomain(A),B),coantidomain(C)),B addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3821
% 20.95/21.13  Current number of ordered equations: 1
% 20.95/21.13  Current number of rules: 761
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1142]
% 20.95/21.13  leq(multiplication(multiplication(coantidomain(A),B),coantidomain(C)),
% 20.95/21.13  B addition X0) -> true
% 20.95/21.13  Current number of equations to process: 3821
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 762
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1143]
% 20.95/21.13  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3820
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 763
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1144]
% 20.95/21.13  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B addition X0)
% 20.95/21.13  -> true
% 20.95/21.13  Current number of equations to process: 3819
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 764
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1145]
% 20.95/21.13  leq(multiplication(A,backward_diamond(B,C)) addition X0,A addition X0) ->
% 20.95/21.13  true
% 20.95/21.13  Current number of equations to process: 3813
% 20.95/21.13  Current number of ordered equations: 0
% 20.95/21.13  Current number of rules: 765
% 20.95/21.13  New rule produced :
% 20.95/21.13  [1146]
% 20.95/21.13  leq(antidomain(A) addition multiplication(c(A),codomain(B)),c(A)) -> true
% 21.03/21.27  Current number of equations to process: 3812
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 766
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1147]
% 21.03/21.27  leq(multiplication(antidomain(A),B) addition multiplication(B,codomain(C)),B)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3810
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 767
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1148]
% 21.03/21.27  leq(multiplication(A,codomain(B)) addition multiplication(A,codomain(C)),A)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3809
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 768
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1149]
% 21.03/21.27  leq(multiplication(codomain(A),B) addition multiplication(B,codomain(C)),B)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3808
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 769
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1150]
% 21.03/21.27  leq(multiplication(A,codomain(B)) addition multiplication(A,coantidomain(C)),A)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3807
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 770
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1151]
% 21.03/21.27  leq(multiplication(coantidomain(A),B) addition multiplication(B,codomain(C)),B)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3806
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 771
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1152]
% 21.03/21.27  leq(antidomain(A) addition multiplication(c(A),coantidomain(B)),c(A)) -> true
% 21.03/21.27  Current number of equations to process: 3805
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 772
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1153]
% 21.03/21.27  leq(multiplication(antidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3803
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 773
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1154]
% 21.03/21.27  leq(multiplication(codomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3801
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 774
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1155]
% 21.03/21.27  leq(multiplication(A,coantidomain(B)) addition multiplication(A,coantidomain(C)),A)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3800
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 775
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1156]
% 21.03/21.27  leq(multiplication(coantidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3799
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 776
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1157]
% 21.03/21.27  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B addition X0)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3797
% 21.03/21.27  Current number of ordered equations: 1
% 21.03/21.27  Current number of rules: 777
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1158]
% 21.03/21.27  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3797
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 778
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1159]
% 21.03/21.27  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C addition X0)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3795
% 21.03/21.27  Current number of ordered equations: 1
% 21.03/21.27  Current number of rules: 779
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1160]
% 21.03/21.27  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3795
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 780
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1161]
% 21.03/21.27  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3794
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 781
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1162]
% 21.03/21.27  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 21.03/21.27  -> true
% 21.03/21.27  Current number of equations to process: 3793
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 782
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1163]
% 21.03/21.27  leq(antidomain(A) addition multiplication(antidomain(B),c(A)),c(A)) -> true
% 21.03/21.27  Current number of equations to process: 3787
% 21.03/21.27  Current number of ordered equations: 0
% 21.03/21.27  Current number of rules: 783
% 21.03/21.27  New rule produced :
% 21.03/21.27  [1164]
% 21.03/21.27  leq(multiplication(antidomain(A),B) addition multiplication(antidomain(C),B),B)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3785
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 784
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1165]
% 21.28/21.45  leq(multiplication(codomain(A),B) addition multiplication(antidomain(C),B),B)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3783
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 785
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1166]
% 21.28/21.45  leq(multiplication(coantidomain(A),B) addition multiplication(antidomain(C),B),B)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3781
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 786
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1167]
% 21.28/21.45  leq(multiplication(codomain(A),multiplication(B,codomain(C))),B addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3778
% 21.28/21.45  Current number of ordered equations: 1
% 21.28/21.45  Current number of rules: 787
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1168]
% 21.28/21.45  leq(multiplication(codomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3778
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 788
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1169]
% 21.28/21.45  leq(multiplication(codomain(A),multiplication(codomain(B),C)),C addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3776
% 21.28/21.45  Current number of ordered equations: 1
% 21.28/21.45  Current number of rules: 789
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1170]
% 21.28/21.45  leq(multiplication(codomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3776
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 790
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1171]
% 21.28/21.45  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3775
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 791
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1172]
% 21.28/21.45  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3774
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 792
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1173]
% 21.28/21.45  leq(multiplication(coantidomain(A),multiplication(B,codomain(C))),B addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3767
% 21.28/21.45  Current number of ordered equations: 1
% 21.28/21.45  Current number of rules: 793
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1174]
% 21.28/21.45  leq(multiplication(coantidomain(A),multiplication(B,coantidomain(C))),
% 21.28/21.45  B addition X0) -> true
% 21.28/21.45  Current number of equations to process: 3767
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 794
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1175]
% 21.28/21.45  leq(multiplication(coantidomain(A),multiplication(codomain(B),C)),C addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3765
% 21.28/21.45  Current number of ordered equations: 1
% 21.28/21.45  Current number of rules: 795
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1176]
% 21.28/21.45  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),C)),
% 21.28/21.45  C addition X0) -> true
% 21.28/21.45  Current number of equations to process: 3765
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 796
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1177]
% 21.28/21.45  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3764
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 797
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1178]
% 21.28/21.45  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3763
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 798
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1179]
% 21.28/21.45  leq(multiplication(backward_diamond(A,B),C) addition X0,C addition X0) ->
% 21.28/21.45  true
% 21.28/21.45  Current number of equations to process: 3757
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 799
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1180]
% 21.28/21.45  leq(antidomain(A) addition multiplication(codomain(B),c(A)),c(A)) -> true
% 21.28/21.45  Current number of equations to process: 3756
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 800
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1181]
% 21.28/21.45  leq(multiplication(codomain(A),B) addition multiplication(codomain(C),B),B)
% 21.28/21.45  -> true
% 21.28/21.45  Current number of equations to process: 3752
% 21.28/21.45  Current number of ordered equations: 0
% 21.28/21.45  Current number of rules: 801
% 21.28/21.45  New rule produced :
% 21.28/21.45  [1182]
% 21.28/21.45  leq(multiplication(codomain(A),B) addition multiplication(coantidomain(C),B),B)
% 21.44/21.63  -> true
% 21.44/21.63  Current number of equations to process: 3750
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 802
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1183]
% 21.44/21.63  leq(antidomain(A) addition multiplication(coantidomain(B),c(A)),c(A)) -> true
% 21.44/21.63  Current number of equations to process: 3749
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 803
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1184]
% 21.44/21.63  leq(multiplication(coantidomain(A),B) addition multiplication(coantidomain(C),B),B)
% 21.44/21.63  -> true
% 21.44/21.63  Current number of equations to process: 3743
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 804
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1185]
% 21.44/21.63  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),coantidomain(
% 21.44/21.63                                                                     c(B)))) ->
% 21.44/21.63  zero
% 21.44/21.63  Current number of equations to process: 3742
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 805
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1186]
% 21.44/21.63  multiplication(antidomain(A),multiplication(coantidomain(c(c(A))),B)) ->
% 21.44/21.63  multiplication(coantidomain(c(c(A))),B)
% 21.44/21.63  Current number of equations to process: 3740
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 806
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1187]
% 21.44/21.63  c(c(B)) addition multiplication(antidomain(A),antidomain(B)) ->
% 21.44/21.63  c(c(B)) addition antidomain(A)
% 21.44/21.63  Current number of equations to process: 3738
% 21.44/21.63  Current number of ordered equations: 1
% 21.44/21.63  Current number of rules: 807
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1188]
% 21.44/21.63  c(c(A)) addition multiplication(antidomain(A),antidomain(B)) ->
% 21.44/21.63  c(c(A)) addition antidomain(B)
% 21.44/21.63  Current number of equations to process: 3738
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 808
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1189]
% 21.44/21.63  c(c(A)) addition multiplication(antidomain(A),codomain(B)) ->
% 21.44/21.63  c(c(A)) addition codomain(B)
% 21.44/21.63  Current number of equations to process: 3736
% 21.44/21.63  Current number of ordered equations: 1
% 21.44/21.63  Current number of rules: 809
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1190]
% 21.44/21.63  c(c(A)) addition multiplication(antidomain(A),coantidomain(B)) ->
% 21.44/21.63  c(c(A)) addition coantidomain(B)
% 21.44/21.63  Current number of equations to process: 3736
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 810
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1191]
% 21.44/21.63  c(c(B)) addition multiplication(codomain(A),antidomain(B)) ->
% 21.44/21.63  c(c(B)) addition codomain(A)
% 21.44/21.63  Current number of equations to process: 3734
% 21.44/21.63  Current number of ordered equations: 1
% 21.44/21.63  Current number of rules: 811
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1192]
% 21.44/21.63  c(c(B)) addition multiplication(coantidomain(A),antidomain(B)) ->
% 21.44/21.63  c(c(B)) addition coantidomain(A)
% 21.44/21.63  Current number of equations to process: 3734
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 812
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1193]
% 21.44/21.63  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),coantidomain(c(
% 21.44/21.63                                                                      c(sK2_goals_X1))))
% 21.44/21.63  -> coantidomain(c(c(sK2_goals_X1)))
% 21.44/21.63  Current number of equations to process: 3733
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 813
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1194]
% 21.44/21.63  c(c(multiplication(A,antidomain(forward_diamond(B,C))))) ->
% 21.44/21.63  forward_diamond(A,antidomain(multiplication(B,c(c(C)))))
% 21.44/21.63  Current number of equations to process: 3732
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 814
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1195]
% 21.44/21.63  c(c(forward_diamond(A,c(backward_box(B,C))))) ->
% 21.44/21.63  forward_diamond(A,c(backward_box(B,C)))
% 21.44/21.63  Current number of equations to process: 3731
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 815
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1196]
% 21.44/21.63  codomain(A) addition multiplication(coantidomain(A),c(c(B))) ->
% 21.44/21.63  c(c(B)) addition codomain(A)
% 21.44/21.63  Current number of equations to process: 3728
% 21.44/21.63  Current number of ordered equations: 1
% 21.44/21.63  Current number of rules: 816
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1197]
% 21.44/21.63  coantidomain(A) addition multiplication(codomain(A),c(c(B))) ->
% 21.44/21.63  c(c(B)) addition coantidomain(A)
% 21.44/21.63  Current number of equations to process: 3728
% 21.44/21.63  Current number of ordered equations: 0
% 21.44/21.63  Current number of rules: 817
% 21.44/21.63  New rule produced :
% 21.44/21.63  [1198]
% 21.44/21.63  codomain(A) addition multiplication(c(c(B)),coantidomain(A)) ->
% 21.44/21.63  c(c(B)) addition codomain(A)
% 21.44/21.63  Current number of equations to process: 3725
% 21.44/21.63  Current number of ordered equations: 1
% 21.44/21.63  Current number of rules: 818
% 21.44/21.63  New rule produced :
% 21.58/21.81  [1199]
% 21.58/21.81  coantidomain(A) addition multiplication(c(c(B)),codomain(A)) ->
% 21.58/21.81  c(c(B)) addition coantidomain(A)
% 21.58/21.81  Current number of equations to process: 3725
% 21.58/21.81  Current number of ordered equations: 0
% 21.58/21.81  Current number of rules: 819
% 21.58/21.81  New rule produced :
% 21.58/21.81  [1200]
% 21.58/21.81  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 21.58/21.81                                                         antidomain(sK2_goals_X1),A))
% 21.58/21.81  -> multiplication(antidomain(sK2_goals_X1),A)
% 21.58/21.81  Current number of equations to process: 3713
% 21.58/21.81  Current number of ordered equations: 0
% 21.58/21.81  Current number of rules: 820
% 21.58/21.81  New rule produced :
% 21.58/21.81  [1201]
% 21.58/21.81  multiplication(multiplication(A,c(sK2_goals_X1)),backward_box(sK3_goals_X0,sK1_goals_X2))
% 21.58/21.81  -> multiplication(A,c(sK2_goals_X1))
% 21.58/21.81  Current number of equations to process: 3711
% 21.58/21.81  Current number of ordered equations: 0
% 21.58/21.81  Current number of rules: 821
% 21.58/21.81  New rule produced :
% 21.58/21.81  [1202]
% 21.58/21.81  multiplication(c(c(sK2_goals_X1)),c(backward_box(sK3_goals_X0,sK1_goals_X2)))
% 21.58/21.81  -> c(backward_box(sK3_goals_X0,sK1_goals_X2))
% 21.58/21.81  Current number of equations to process: 3710
% 21.58/21.81  Current number of ordered equations: 0
% 21.58/21.81  Current number of rules: 822
% 21.58/21.81  New rule produced :
% 21.58/21.81  [1203]
% 21.58/21.81  c(A) addition multiplication(c(c(B)),c(c(A))) <->
% 21.58/21.81  c(c(B)) addition multiplication(antidomain(B),c(A))
% 21.58/21.81  Current number of equations to process: 3707
% 21.58/21.81  Current number of ordered equations: 3
% 21.58/21.81  Current number of rules: 823
% 21.58/21.81  New rule produced :
% 21.58/21.81  [1204]
% 21.58/21.81  c(A) addition multiplication(antidomain(B),c(c(A))) ->
% 21.58/21.81  antidomain(B) addition multiplication(c(c(B)),c(A))
% 21.58/21.81  Current number of equations to process: 3707
% 21.58/21.81  Current number of ordered equations: 2
% 21.58/21.81  Current number of rules: 824
% 21.58/21.81  New rule produced :
% 21.58/21.81  [1205]
% 21.58/21.81  c(c(B)) addition multiplication(antidomain(B),c(A)) <->
% 21.58/21.81  c(A) addition multiplication(c(c(B)),c(c(A)))
% 21.58/21.81  Current number of equations to process: 3707
% 21.58/21.81  Current number of ordered equations: 1
% 21.58/21.81  Current number of rules: 825
% 21.58/21.81  New rule produced :
% 21.58/21.81  [1206]
% 21.58/21.81  c(c(A)) addition multiplication(antidomain(B),c(A)) ->
% 21.58/21.81  c(c(A)) addition antidomain(B)
% 21.58/21.81  Current number of equations to process: 3707
% 21.58/21.81  Current number of ordered equations: 0
% 21.58/21.81  Current number of rules: 826
% 21.58/21.81  New rule produced :
% 21.66/21.81  [1207]
% 21.66/21.81  c(A) addition multiplication(codomain(B),c(c(A))) <->
% 21.66/21.81  codomain(B) addition multiplication(coantidomain(B),c(A))
% 21.66/21.81  Current number of equations to process: 3703
% 21.66/21.81  Current number of ordered equations: 4
% 21.66/21.81  Current number of rules: 827
% 21.66/21.81  New rule produced :
% 21.66/21.81  [1208]
% 21.66/21.81  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 21.66/21.81  coantidomain(B) addition multiplication(codomain(B),c(A))
% 21.66/21.81  Current number of equations to process: 3703
% 21.66/21.81  Current number of ordered equations: 3
% 21.66/21.81  Current number of rules: 828
% 21.66/21.81  New rule produced :
% 21.66/21.81  [1209]
% 21.66/21.81  codomain(B) addition multiplication(coantidomain(B),c(A)) <->
% 21.66/21.81  c(A) addition multiplication(codomain(B),c(c(A)))
% 21.66/21.81  Current number of equations to process: 3703
% 21.66/21.81  Current number of ordered equations: 2
% 21.66/21.81  Current number of rules: 829
% 21.66/21.81  New rule produced :
% 21.66/21.81  [1210]
% 21.66/21.81  c(c(A)) addition multiplication(codomain(B),c(A)) ->
% 21.66/21.81  c(c(A)) addition codomain(B)
% 21.66/21.81  Current number of equations to process: 3703
% 21.66/21.81  Current number of ordered equations: 1
% 21.66/21.81  Current number of rules: 830
% 21.66/21.81  New rule produced :
% 21.66/21.81  [1211]
% 21.66/21.81  c(c(A)) addition multiplication(coantidomain(B),c(A)) ->
% 21.66/21.81  c(c(A)) addition coantidomain(B)
% 21.66/21.81  Current number of equations to process: 3703
% 21.66/21.81  Current number of ordered equations: 0
% 21.66/21.81  Current number of rules: 831
% 21.66/21.81  New rule produced :
% 21.66/21.81  [1212]
% 21.66/21.81  c(multiplication(A,antidomain(forward_diamond(B,antidomain(C))))) ->
% 21.66/21.81  antidomain(forward_diamond(A,antidomain(multiplication(B,c(C)))))
% 21.66/21.81  Current number of equations to process: 3701
% 21.66/21.81  Current number of ordered equations: 0
% 21.66/21.81  Current number of rules: 832
% 21.66/21.81  New rule produced :
% 21.66/21.81  [1213]
% 21.66/21.81  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),C)) ->
% 21.66/21.81  multiplication(A,multiplication(c(B),C))
% 21.66/21.81  Rule
% 21.66/21.81  [1185]
% 21.66/21.81  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),coantidomain(
% 21.66/21.81                                                                     c(B)))) ->
% 21.66/21.81  zero collapsed.
% 21.66/21.81  Current number of equations to process: 3700
% 21.66/21.81  Current number of ordered equations: 0
% 21.66/21.81  Current number of rules: 832
% 21.66/21.81  New rule produced :
% 21.66/21.81  [1214]
% 21.66/21.81  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(B),C))
% 21.66/21.81  -> multiplication(A,multiplication(coantidomain(B),C))
% 28.07/28.28  Current number of equations to process: 3695
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 833
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1215]
% 28.07/28.28  multiplication(multiplication(A,antidomain(B)),multiplication(antidomain(B),C))
% 28.07/28.28  -> multiplication(A,multiplication(antidomain(B),C))
% 28.07/28.28  Current number of equations to process: 3690
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 834
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1216]
% 28.07/28.28  multiplication(multiplication(A,codomain(B)),multiplication(codomain(B),C))
% 28.07/28.28  -> multiplication(A,multiplication(codomain(B),C))
% 28.07/28.28  Current number of equations to process: 3685
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 835
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1217]
% 28.07/28.28  codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(A)) ->
% 28.07/28.28  backward_diamond(B,C) addition codomain(A)
% 28.07/28.28  Current number of equations to process: 4023
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 836
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1218]
% 28.07/28.28  multiplication(multiplication(A,c(B)),multiplication(coantidomain(antidomain(B)),C))
% 28.07/28.28  -> zero
% 28.07/28.28  Current number of equations to process: 4312
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 837
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1219] multiplication(multiplication(A,c(B)),multiplication(B,C)) -> zero
% 28.07/28.28  Rule
% 28.07/28.28  [796]
% 28.07/28.28  multiplication(multiplication(A,c(c(B))),multiplication(c(B),C)) -> zero
% 28.07/28.28  collapsed.
% 28.07/28.28  Current number of equations to process: 4350
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 837
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1220]
% 28.07/28.28  multiplication(multiplication(A,multiplication(B,codomain(C))),multiplication(
% 28.07/28.28                                                                 coantidomain(C),X0))
% 28.07/28.28  -> zero
% 28.07/28.28  Current number of equations to process: 4475
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 838
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1221]
% 28.07/28.28  multiplication(multiplication(A,codomain(B)),multiplication(multiplication(
% 28.07/28.28                                                              coantidomain(B),C),X0))
% 28.07/28.28  -> zero
% 28.07/28.28  Current number of equations to process: 4474
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 839
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1222] ifeq2(one,c(c(A)),leq(antidomain(A),c(c(A))),true) -> true
% 28.07/28.28  Current number of equations to process: 4473
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 840
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1223]
% 28.07/28.28  c(c(multiplication(A,B))) addition antidomain(multiplication(A,c(c(B)))) ->
% 28.07/28.28  one
% 28.07/28.28  Current number of equations to process: 4472
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 841
% 28.07/28.28  New rule produced : [1224] ifeq2(one,c(c(A)),leq(c(A),c(c(A))),true) -> true
% 28.07/28.28  Current number of equations to process: 4541
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 842
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1225]
% 28.07/28.28  backward_diamond(multiplication(multiplication(codomain(C),A),B),C) ->
% 28.07/28.28  backward_diamond(multiplication(A,B),C)
% 28.07/28.28  Current number of equations to process: 4588
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 843
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1226]
% 28.07/28.28  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 28.07/28.28                                                                     c(
% 28.07/28.28                                                                     c(C)))) ->
% 28.07/28.28  zero
% 28.07/28.28  Current number of equations to process: 4604
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 844
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1227]
% 28.07/28.28  leq(multiplication(coantidomain(A),antidomain(B)) addition C,one addition C)
% 28.07/28.28  -> true
% 28.07/28.28  Current number of equations to process: 4683
% 28.07/28.28  Current number of ordered equations: 1
% 28.07/28.28  Current number of rules: 845
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1228]
% 28.07/28.28  leq(multiplication(codomain(A),antidomain(B)) addition C,one addition C) ->
% 28.07/28.28  true
% 28.07/28.28  Current number of equations to process: 4683
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 846
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1229]
% 28.07/28.28  leq(multiplication(antidomain(A),antidomain(B)) addition C,one addition C) ->
% 28.07/28.28  true
% 28.07/28.28  Current number of equations to process: 4682
% 28.07/28.28  Current number of ordered equations: 0
% 28.07/28.28  Current number of rules: 847
% 28.07/28.28  New rule produced :
% 28.07/28.28  [1230]
% 28.07/28.28  leq(multiplication(c(A),antidomain(B)) addition C,one addition C) -> true
% 38.95/39.12  Current number of equations to process: 4792
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 848
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1231]
% 38.95/39.12  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 38.95/39.12                                                             c(c(C))))),B),C)
% 38.95/39.12  -> zero
% 38.95/39.12  Current number of equations to process: 4852
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 849
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1232]
% 38.95/39.12  leq(multiplication(codomain(A),codomain(B)) addition C,one addition C) ->
% 38.95/39.12  true
% 38.95/39.12  Current number of equations to process: 4931
% 38.95/39.12  Current number of ordered equations: 1
% 38.95/39.12  Current number of rules: 850
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1233]
% 38.95/39.12  leq(multiplication(coantidomain(A),codomain(B)) addition C,one addition C) ->
% 38.95/39.12  true
% 38.95/39.12  Current number of equations to process: 4931
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 851
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1234]
% 38.95/39.12  leq(multiplication(antidomain(A),codomain(B)) addition C,one addition C) ->
% 38.95/39.12  true
% 38.95/39.12  Current number of equations to process: 4930
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 852
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1235]
% 38.95/39.12  leq(multiplication(c(A),codomain(B)) addition C,one addition C) -> true
% 38.95/39.12  Current number of equations to process: 1866
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 853
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1236]
% 38.95/39.12  leq(multiplication(coantidomain(A),coantidomain(B)) addition C,one addition C)
% 38.95/39.12  -> true
% 38.95/39.12  Current number of equations to process: 2004
% 38.95/39.12  Current number of ordered equations: 1
% 38.95/39.12  Current number of rules: 854
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1237]
% 38.95/39.12  leq(multiplication(codomain(A),coantidomain(B)) addition C,one addition C) ->
% 38.95/39.12  true
% 38.95/39.12  Current number of equations to process: 2004
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 855
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1238]
% 38.95/39.12  leq(multiplication(antidomain(A),coantidomain(B)) addition C,one addition C)
% 38.95/39.12  -> true
% 38.95/39.12  Current number of equations to process: 2003
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 856
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1239]
% 38.95/39.12  leq(multiplication(c(A),coantidomain(B)) addition C,one addition C) -> true
% 38.95/39.12  Current number of equations to process: 2114
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 857
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1240]
% 38.95/39.12  leq(multiplication(antidomain(A),c(B)) addition C,one addition C) -> true
% 38.95/39.12  Current number of equations to process: 2364
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 858
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1241]
% 38.95/39.12  leq(multiplication(codomain(A),c(B)) addition C,one addition C) -> true
% 38.95/39.12  Current number of equations to process: 2619
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 859
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1242]
% 38.95/39.12  leq(multiplication(coantidomain(A),c(B)) addition C,one addition C) -> true
% 38.95/39.12  Current number of equations to process: 2869
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 860
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1243]
% 38.95/39.12  multiplication(multiplication(A,B),multiplication(coantidomain(backward_diamond(B,A)),C))
% 38.95/39.12  -> zero
% 38.95/39.12  Current number of equations to process: 2999
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 861
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1244]
% 38.95/39.12  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(
% 38.95/39.12                                                              backward_diamond(B,A)),C))
% 38.95/39.12  -> zero
% 38.95/39.12  Current number of equations to process: 3006
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 862
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1245]
% 38.95/39.12  multiplication(multiplication(A,codomain(B)),multiplication(C,coantidomain(
% 38.95/39.12                                                                backward_diamond(C,B))))
% 38.95/39.12  -> zero
% 38.95/39.12  Current number of equations to process: 3084
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 863
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1246]
% 38.95/39.12  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 38.95/39.12                                                                 backward_diamond(C,B)))
% 38.95/39.12  -> zero
% 38.95/39.12  Current number of equations to process: 3316
% 38.95/39.12  Current number of ordered equations: 0
% 38.95/39.12  Current number of rules: 864
% 38.95/39.12  New rule produced :
% 38.95/39.12  [1247]
% 38.95/39.12  multiplication(c(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 40.27/40.49  -> zero
% 40.27/40.49  Current number of equations to process: 3632
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 865
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1248]
% 40.27/40.49  coantidomain(codomain(B) addition multiplication(codomain(B),A)) ->
% 40.27/40.49  coantidomain(backward_diamond(one addition A,B))
% 40.27/40.49  Current number of equations to process: 3782
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 866
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1249]
% 40.27/40.49  c(c(multiplication(A,antidomain(B)))) addition antidomain(multiplication(A,
% 40.27/40.49                                                            c(B))) -> one
% 40.27/40.49  Current number of equations to process: 3827
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 867
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1250]
% 40.27/40.49  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(B))) -> one
% 40.27/40.49  Current number of equations to process: 3825
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 868
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1251]
% 40.27/40.49  multiplication(A,multiplication(B,c(c(C)))) addition multiplication(A,B) ->
% 40.27/40.49  multiplication(A,B)
% 40.27/40.49  Current number of equations to process: 3821
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 869
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1252]
% 40.27/40.49  multiplication(multiplication(A,c(c(C))),B) addition multiplication(A,B) ->
% 40.27/40.49  multiplication(A,B)
% 40.27/40.49  Current number of equations to process: 3820
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 870
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1253]
% 40.27/40.49  c(c(sK2_goals_X1)) addition multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),
% 40.27/40.49                              c(c(A))) -> c(c(sK2_goals_X1)) addition c(c(A))
% 40.27/40.49  Current number of equations to process: 3809
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 871
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1254]
% 40.27/40.49  multiplication(multiplication(c(c(A)),B),C) addition multiplication(B,C) ->
% 40.27/40.49  multiplication(B,C)
% 40.27/40.49  Current number of equations to process: 3807
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 872
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1255]
% 40.27/40.49  multiplication(A,multiplication(c(c(C)),B)) addition multiplication(A,B) ->
% 40.27/40.49  multiplication(A,B)
% 40.27/40.49  Current number of equations to process: 3806
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 873
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1256]
% 40.27/40.49  c(c(sK2_goals_X1)) addition multiplication(c(c(A)),backward_box(sK3_goals_X0,sK1_goals_X2))
% 40.27/40.49  -> c(c(sK2_goals_X1)) addition c(c(A))
% 40.27/40.49  Current number of equations to process: 3796
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 874
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1257] ifeq2(one addition A,one,leq(c(B) addition A,one),true) -> true
% 40.27/40.49  Current number of equations to process: 3794
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 875
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1258] ifeq(leq(c(A) addition B,one),true,one addition B,one) -> one
% 40.27/40.49  Current number of equations to process: 3793
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 876
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1259]
% 40.27/40.49  multiplication(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),
% 40.27/40.49  antidomain(B)) addition A -> A
% 40.27/40.49  Current number of equations to process: 3782
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 877
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1260]
% 40.27/40.49  c(c(sK2_goals_X1)) addition multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),
% 40.27/40.49                              antidomain(A)) ->
% 40.27/40.49  c(c(sK2_goals_X1)) addition antidomain(A)
% 40.27/40.49  Current number of equations to process: 3779
% 40.27/40.49  Current number of ordered equations: 1
% 40.27/40.49  Current number of rules: 878
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1261]
% 40.27/40.49  multiplication(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),
% 40.27/40.49  antidomain(B)) addition A -> A
% 40.27/40.49  Current number of equations to process: 3779
% 40.27/40.49  Current number of ordered equations: 0
% 40.27/40.49  Current number of rules: 879
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1262]
% 40.27/40.49  c(c(sK2_goals_X1)) addition multiplication(antidomain(A),backward_box(sK3_goals_X0,sK1_goals_X2))
% 40.27/40.49  -> c(c(sK2_goals_X1)) addition antidomain(A)
% 40.27/40.49  Current number of equations to process: 3767
% 40.27/40.49  Current number of ordered equations: 1
% 40.27/40.49  Current number of rules: 880
% 40.27/40.49  New rule produced :
% 40.27/40.49  [1263]
% 40.27/40.49  multiplication(antidomain(A),multiplication(B,backward_box(sK3_goals_X0,sK1_goals_X2))) addition B
% 40.27/40.49  -> B
% 40.27/40.49  Current number of equations to process: 3767
% 40.27/40.49  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 881
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1264]
% 40.57/40.74  multiplication(antidomain(A),multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),B)) addition B
% 40.57/40.74  -> B
% 40.57/40.74  Current number of equations to process: 3765
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 882
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1265]
% 40.57/40.74  multiplication(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),
% 40.57/40.74  codomain(B)) addition A -> A
% 40.57/40.74  Current number of equations to process: 3754
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 883
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1266]
% 40.57/40.74  c(c(sK2_goals_X1)) addition multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),
% 40.57/40.74                              codomain(A)) ->
% 40.57/40.74  c(c(sK2_goals_X1)) addition codomain(A)
% 40.57/40.74  Current number of equations to process: 3751
% 40.57/40.74  Current number of ordered equations: 1
% 40.57/40.74  Current number of rules: 884
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1267]
% 40.57/40.74  multiplication(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),
% 40.57/40.74  codomain(B)) addition A -> A
% 40.57/40.74  Current number of equations to process: 3751
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 885
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1268]
% 40.57/40.74  c(c(sK2_goals_X1)) addition multiplication(codomain(A),backward_box(sK3_goals_X0,sK1_goals_X2))
% 40.57/40.74  -> c(c(sK2_goals_X1)) addition codomain(A)
% 40.57/40.74  Current number of equations to process: 3739
% 40.57/40.74  Current number of ordered equations: 1
% 40.57/40.74  Current number of rules: 886
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1269]
% 40.57/40.74  multiplication(codomain(A),multiplication(B,backward_box(sK3_goals_X0,sK1_goals_X2))) addition B
% 40.57/40.74  -> B
% 40.57/40.74  Current number of equations to process: 3739
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 887
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1270]
% 40.57/40.74  multiplication(codomain(A),multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),B)) addition B
% 40.57/40.74  -> B
% 40.57/40.74  Current number of equations to process: 3737
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 888
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1271]
% 40.57/40.74  multiplication(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),
% 40.57/40.74  coantidomain(B)) addition A -> A
% 40.57/40.74  Current number of equations to process: 3726
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 889
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1272]
% 40.57/40.74  c(c(sK2_goals_X1)) addition multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),
% 40.57/40.74                              coantidomain(A)) ->
% 40.57/40.74  c(c(sK2_goals_X1)) addition coantidomain(A)
% 40.57/40.74  Current number of equations to process: 3723
% 40.57/40.74  Current number of ordered equations: 1
% 40.57/40.74  Current number of rules: 890
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1273]
% 40.57/40.74  multiplication(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),
% 40.57/40.74  coantidomain(B)) addition A -> A
% 40.57/40.74  Current number of equations to process: 3723
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 891
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1274]
% 40.57/40.74  c(c(sK2_goals_X1)) addition multiplication(coantidomain(A),backward_box(sK3_goals_X0,sK1_goals_X2))
% 40.57/40.74  -> c(c(sK2_goals_X1)) addition coantidomain(A)
% 40.57/40.74  Current number of equations to process: 3711
% 40.57/40.74  Current number of ordered equations: 1
% 40.57/40.74  Current number of rules: 892
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1275]
% 40.57/40.74  multiplication(coantidomain(A),multiplication(B,backward_box(sK3_goals_X0,sK1_goals_X2))) addition B
% 40.57/40.74  -> B
% 40.57/40.74  Current number of equations to process: 3711
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 893
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1276]
% 40.57/40.74  multiplication(coantidomain(A),multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),B)) addition B
% 40.57/40.74  -> B
% 40.57/40.74  Current number of equations to process: 3709
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 894
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1277]
% 40.57/40.74  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 40.57/40.74                                                                   c(c(C)))))
% 40.57/40.74  -> zero
% 40.57/40.74  Current number of equations to process: 3706
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 895
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1278]
% 40.57/40.74  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 40.57/40.74                                                             antidomain(C),X0))
% 40.57/40.74  -> zero
% 40.57/40.74  Current number of equations to process: 3705
% 40.57/40.74  Current number of ordered equations: 0
% 40.57/40.74  Current number of rules: 896
% 40.57/40.74  New rule produced :
% 40.57/40.74  [1279]
% 40.57/40.74  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 40.66/40.89                                                          antidomain(B),C),X0))
% 40.66/40.89  -> zero
% 40.66/40.89  Current number of equations to process: 3704
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 897
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1280]
% 40.66/40.89  multiplication(multiplication(A,forward_diamond(B,antidomain(C))),antidomain(
% 40.66/40.89                                                                    multiplication(B,
% 40.66/40.89                                                                    c(C)))) ->
% 40.66/40.89  zero
% 40.66/40.89  Current number of equations to process: 3703
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 898
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1281]
% 40.66/40.89  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 40.66/40.89                                                                c(c(B)))),C))
% 40.66/40.89  -> zero
% 40.66/40.89  Current number of equations to process: 3702
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 899
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1282]
% 40.66/40.89  multiplication(forward_diamond(A,antidomain(B)),multiplication(antidomain(
% 40.66/40.89                                                                 multiplication(A,
% 40.66/40.89                                                                 c(B))),C)) ->
% 40.66/40.89  zero
% 40.66/40.89  Current number of equations to process: 3700
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 900
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1283]
% 40.66/40.89  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(B)))) ->
% 40.66/40.89  zero
% 40.66/40.89  Current number of equations to process: 3699
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 901
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1284]
% 40.66/40.89  forward_diamond(backward_box(A,backward_diamond(B,c(C))),backward_diamond(A,
% 40.66/40.89                                                           backward_box(B,C)))
% 40.66/40.89  -> zero
% 40.66/40.89  Current number of equations to process: 3697
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 902
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1285]
% 40.66/40.89  multiplication(multiplication(A,backward_box(B,C)),c(backward_box(B,C))) ->
% 40.66/40.89  zero
% 40.66/40.89  Current number of equations to process: 3696
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 903
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1286]
% 40.66/40.89  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(
% 40.66/40.89                                                          c(c(C)),X0)) -> zero
% 40.66/40.89  Current number of equations to process: 3694
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 904
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1287]
% 40.66/40.89  multiplication(multiplication(A,c(B)),multiplication(multiplication(c(c(B)),C),X0))
% 40.66/40.89  -> zero
% 40.66/40.89  Current number of equations to process: 3693
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 905
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1288]
% 40.66/40.89  multiplication(backward_box(A,B),multiplication(c(backward_box(A,B)),C)) ->
% 40.66/40.89  zero
% 40.66/40.89  Current number of equations to process: 3692
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 906
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1289]
% 40.66/40.89  multiplication(A,forward_diamond(B,C)) addition multiplication(A,antidomain(
% 40.66/40.89                                                                   forward_diamond(B,C)))
% 40.66/40.89  -> A
% 40.66/40.89  Current number of equations to process: 3690
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 907
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1290]
% 40.66/40.89  multiplication(forward_diamond(B,C),A) addition multiplication(antidomain(
% 40.66/40.89                                                                 forward_diamond(B,C)),A)
% 40.66/40.89  -> A
% 40.66/40.89  Current number of equations to process: 3689
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 908
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1291]
% 40.66/40.89  ifeq(leq(one,backward_box(A,B)),true,one,backward_box(A,B)) ->
% 40.66/40.89  backward_box(A,B)
% 40.66/40.89  Current number of equations to process: 3688
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 909
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1292]
% 40.66/40.89  leq(multiplication(A,c(B)) addition C,A addition C addition X0) -> true
% 40.66/40.89  Current number of equations to process: 3686
% 40.66/40.89  Current number of ordered equations: 0
% 40.66/40.89  Current number of rules: 910
% 40.66/40.89  New rule produced :
% 40.66/40.89  [1293]
% 40.66/40.89  multiplication(A,backward_diamond(B,C)) addition multiplication(A,coantidomain(
% 40.66/40.89                                                                    backward_diamond(B,C)))
% 40.66/40.89  -> A
% 40.66/40.89  Current number of equations to process: 3685
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 911
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1294]
% 40.89/41.02  multiplication(backward_diamond(B,C),A) addition multiplication(coantidomain(
% 40.89/41.02                                                                  backward_diamond(B,C)),A)
% 40.89/41.02  -> A
% 40.89/41.02  Current number of equations to process: 3684
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 912
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1295]
% 40.89/41.02  multiplication(multiplication(A,multiplication(B,C)),multiplication(multiplication(
% 40.89/41.02                                                                      coantidomain(C),X0),X1))
% 40.89/41.02  -> zero
% 40.89/41.02  Current number of equations to process: 3683
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 913
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1296]
% 40.89/41.02  multiplication(multiplication(A,B),multiplication(multiplication(multiplication(
% 40.89/41.02                                                                   coantidomain(B),C),X0),X1))
% 40.89/41.02  -> zero
% 40.89/41.02  Current number of equations to process: 3682
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 914
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1297]
% 40.89/41.02  multiplication(multiplication(A,multiplication(B,multiplication(C,X0))),
% 40.89/41.02  multiplication(coantidomain(X0),X1)) -> zero
% 40.89/41.02  Current number of equations to process: 3680
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 915
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1298]
% 40.89/41.02  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(
% 40.89/41.02                                                                   multiplication(C,X0),X1))
% 40.89/41.02  -> zero
% 40.89/41.02  Current number of equations to process: 3673
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 916
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1299]
% 40.89/41.02  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(
% 40.89/41.02                                                                multiplication(B,C),X0),X1))
% 40.89/41.02  -> zero
% 40.89/41.02  Current number of equations to process: 3672
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 917
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1300]
% 40.89/41.02  multiplication(multiplication(A,multiplication(B,multiplication(C,antidomain(X0)))),
% 40.89/41.02  multiplication(X0,X1)) -> zero
% 40.89/41.02  Current number of equations to process: 3670
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 918
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1301]
% 40.89/41.02  multiplication(multiplication(multiplication(A,B),C),codomain(multiplication(B,C)))
% 40.89/41.02  -> multiplication(multiplication(A,B),C)
% 40.89/41.02  Current number of equations to process: 3663
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 919
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1302]
% 40.89/41.02  multiplication(multiplication(A,B),multiplication(multiplication(C,coantidomain(
% 40.89/41.02                                                                     multiplication(B,C))),X0))
% 40.89/41.02  -> zero
% 40.89/41.02  Current number of equations to process: 3662
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 920
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1303]
% 40.89/41.02  multiplication(multiplication(A,multiplication(antidomain(multiplication(B,C)),B)),
% 40.89/41.02  multiplication(C,X0)) -> zero
% 40.89/41.02  Current number of equations to process: 3661
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 921
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1304]
% 40.89/41.02  leq(forward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 40.89/41.02  -> true
% 40.89/41.02  Current number of equations to process: 3660
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 922
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1305]
% 40.89/41.02  leq(backward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 40.89/41.02  -> true
% 40.89/41.02  Current number of equations to process: 3659
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 923
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1306]
% 40.89/41.02  leq(forward_diamond(A,B) addition codomain(C) addition X0,one addition X0) ->
% 40.89/41.02  true
% 40.89/41.02  Current number of equations to process: 3658
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 924
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1307]
% 40.89/41.02  leq(backward_diamond(A,B) addition codomain(C) addition X0,one addition X0)
% 40.89/41.02  -> true
% 40.89/41.02  Current number of equations to process: 3657
% 40.89/41.02  Current number of ordered equations: 0
% 40.89/41.02  Current number of rules: 925
% 40.89/41.02  New rule produced :
% 40.89/41.02  [1308]
% 40.89/41.02  leq(forward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 40.89/41.02  -> true
% 40.89/41.02  Current number of equations to process: 3656
% 40.89/41.02  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 926
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1309]
% 41.07/41.24  leq(backward_diamond(A,B) addition coantidomain(C) addition X0,one addition X0)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3655
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 927
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1310]
% 41.07/41.24  leq(forward_diamond(A,B) addition c(C) addition X0,one addition X0) -> true
% 41.07/41.24  Current number of equations to process: 3654
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 928
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1311]
% 41.07/41.24  leq(backward_diamond(A,B) addition c(C) addition X0,one addition X0) -> true
% 41.07/41.24  Current number of equations to process: 3653
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 929
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1312]
% 41.07/41.24  leq(forward_diamond(A,B) addition multiplication(C,codomain(X0)),one addition C)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3644
% 41.07/41.24  Current number of ordered equations: 1
% 41.07/41.24  Current number of rules: 930
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1313]
% 41.07/41.24  leq(forward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 41.07/41.24  one addition C) -> true
% 41.07/41.24  Current number of equations to process: 3644
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 931
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1314]
% 41.07/41.24  leq(forward_diamond(A,B) addition multiplication(codomain(C),X0),one addition X0)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3642
% 41.07/41.24  Current number of ordered equations: 1
% 41.07/41.24  Current number of rules: 932
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1315]
% 41.07/41.24  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 41.07/41.24  one addition X0) -> true
% 41.07/41.24  Current number of equations to process: 3642
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 933
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1316]
% 41.07/41.24  leq(forward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3640
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 934
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1317]
% 41.07/41.24  leq(forward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3639
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 935
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1318]
% 41.07/41.24  leq(backward_diamond(A,B) addition multiplication(C,codomain(X0)),one addition C)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3627
% 41.07/41.24  Current number of ordered equations: 1
% 41.07/41.24  Current number of rules: 936
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1319]
% 41.07/41.24  leq(backward_diamond(A,B) addition multiplication(C,coantidomain(X0)),
% 41.07/41.24  one addition C) -> true
% 41.07/41.24  Current number of equations to process: 3627
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 937
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1320]
% 41.07/41.24  leq(backward_diamond(A,B) addition multiplication(codomain(C),X0),one addition X0)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3625
% 41.07/41.24  Current number of ordered equations: 1
% 41.07/41.24  Current number of rules: 938
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1321]
% 41.07/41.24  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),X0),
% 41.07/41.24  one addition X0) -> true
% 41.07/41.24  Current number of equations to process: 3625
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 939
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1322]
% 41.07/41.24  leq(backward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3623
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 940
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1323]
% 41.07/41.24  leq(backward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3622
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 941
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1324]
% 41.07/41.24  forward_diamond(multiplication(A,antidomain(forward_diamond(B,antidomain(C)))),
% 41.07/41.24  multiplication(B,c(C))) -> zero
% 41.07/41.24  Current number of equations to process: 3617
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 942
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1325]
% 41.07/41.24  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B) addition X0)
% 41.07/41.24  -> true
% 41.07/41.24  Current number of equations to process: 3616
% 41.07/41.24  Current number of ordered equations: 0
% 41.07/41.24  Current number of rules: 943
% 41.07/41.24  New rule produced :
% 41.07/41.24  [1326]
% 41.07/41.24  multiplication(multiplication(A,B),multiplication(C,codomain(multiplication(B,C))))
% 41.37/41.50  -> multiplication(A,multiplication(B,C))
% 41.37/41.50  Current number of equations to process: 3615
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 944
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1327]
% 41.37/41.50  leq(multiplication(A,multiplication(B,codomain(C))),multiplication(A,B) addition X0)
% 41.37/41.50  -> true
% 41.37/41.50  Current number of equations to process: 3610
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 945
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1328]
% 41.37/41.50  leq(multiplication(A,multiplication(B,coantidomain(C))),multiplication(A,B) addition X0)
% 41.37/41.50  -> true
% 41.37/41.50  Current number of equations to process: 3608
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 946
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1329]
% 41.37/41.50  multiplication(multiplication(multiplication(A,antidomain(coantidomain(B))),C),
% 41.37/41.50  coantidomain(backward_diamond(C,B))) -> zero
% 41.37/41.50  Current number of equations to process: 3607
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 947
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1330]
% 41.37/41.50  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C) addition X0)
% 41.37/41.50  -> true
% 41.37/41.50  Current number of equations to process: 3606
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 948
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1331]
% 41.37/41.50  leq(multiplication(multiplication(codomain(A),B),C),multiplication(B,C) addition X0)
% 41.37/41.50  -> true
% 41.37/41.50  Current number of equations to process: 3605
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 949
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1332]
% 41.37/41.50  leq(multiplication(multiplication(coantidomain(A),B),C),multiplication(B,C) addition X0)
% 41.37/41.50  -> true
% 41.37/41.50  Current number of equations to process: 3603
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 950
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1333]
% 41.37/41.50  multiplication(multiplication(A,antidomain(coantidomain(B))),multiplication(C,
% 41.37/41.50                                                               coantidomain(
% 41.37/41.50                                                               backward_diamond(C,B))))
% 41.37/41.50  -> zero
% 41.37/41.50  Current number of equations to process: 3601
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 951
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1334]
% 41.37/41.50  leq(antidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 41.37/41.50  one addition X0) -> true
% 41.37/41.50  Current number of equations to process: 3600
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 952
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1335]
% 41.37/41.50  leq(codomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 41.37/41.50  one addition X0) -> true
% 41.37/41.50  Current number of equations to process: 3599
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 953
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1336]
% 41.37/41.50  leq(coantidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 41.37/41.50  one addition X0) -> true
% 41.37/41.50  Current number of equations to process: 3598
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 954
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1337]
% 41.37/41.50  leq(c(A) addition multiplication(antidomain(B),coantidomain(C)),one addition X0)
% 41.37/41.50  -> true
% 41.37/41.50  Current number of equations to process: 3597
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 955
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1338]
% 41.37/41.50  leq(antidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 41.37/41.50  one addition X0) -> true
% 41.37/41.50  Current number of equations to process: 3594
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 956
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1339]
% 41.37/41.50  leq(codomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 41.37/41.50  one addition X0) -> true
% 41.37/41.50  Current number of equations to process: 3593
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 957
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1340]
% 41.37/41.50  leq(coantidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 41.37/41.50  one addition X0) -> true
% 41.37/41.50  Current number of equations to process: 3592
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 958
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1341]
% 41.37/41.50  leq(c(A) addition multiplication(coantidomain(B),antidomain(C)),one addition X0)
% 41.37/41.50  -> true
% 41.37/41.50  Current number of equations to process: 3591
% 41.37/41.50  Current number of ordered equations: 0
% 41.37/41.50  Current number of rules: 959
% 41.37/41.50  New rule produced :
% 41.37/41.50  [1342]
% 41.37/41.50  leq(antidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 41.37/41.50  one addition X0) -> true
% 41.37/41.50  Current number of equations to process: 3588
% 41.37/41.50  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 960
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1343]
% 41.66/41.79  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3587
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 961
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1344]
% 41.66/41.79  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3586
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 962
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1345]
% 41.66/41.79  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one addition X0)
% 41.66/41.79  -> true
% 41.66/41.79  Current number of equations to process: 3585
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 963
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1346]
% 41.66/41.79  leq(antidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3582
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 964
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1347]
% 41.66/41.79  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3581
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 965
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1348]
% 41.66/41.79  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3580
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 966
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1349]
% 41.66/41.79  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one addition X0)
% 41.66/41.79  -> true
% 41.66/41.79  Current number of equations to process: 3579
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 967
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1350]
% 41.66/41.79  leq(antidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3570
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 968
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1351]
% 41.66/41.79  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3569
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 969
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1352]
% 41.66/41.79  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 41.66/41.79  one addition X0) -> true
% 41.66/41.79  Current number of equations to process: 3568
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 970
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1353]
% 41.66/41.79  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one addition X0)
% 41.66/41.79  -> true
% 41.66/41.79  Current number of equations to process: 3567
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 971
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1354]
% 41.66/41.79  multiplication(multiplication(A,coantidomain(backward_diamond(B,C))),
% 41.66/41.79  multiplication(backward_diamond(B,C),X0)) -> zero
% 41.66/41.79  Current number of equations to process: 3564
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 972
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1355]
% 41.66/41.79  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 41.66/41.79                                                             c(C),X0)) -> zero
% 41.66/41.79  Current number of equations to process: 3554
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 973
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1356]
% 41.66/41.79  multiplication(antidomain(multiplication(A,multiplication(B,C))),multiplication(
% 41.66/41.79                                                                   multiplication(A,B),C))
% 41.66/41.79  -> zero
% 41.66/41.79  Current number of equations to process: 3544
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 974
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1357]
% 41.66/41.79  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 41.66/41.79                                                          c(B),C),X0)) -> zero
% 41.66/41.79  Current number of equations to process: 3534
% 41.66/41.79  Current number of ordered equations: 0
% 41.66/41.79  Current number of rules: 975
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1358]
% 41.66/41.79  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(A) addition C)
% 41.66/41.79  -> true
% 41.66/41.79  Current number of equations to process: 3526
% 41.66/41.79  Current number of ordered equations: 1
% 41.66/41.79  Current number of rules: 976
% 41.66/41.79  New rule produced :
% 41.66/41.79  [1359]
% 41.66/41.79  leq(antidomain(A) addition multiplication(B,antidomain(C)),c(A) addition B)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3526
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 977
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1360]
% 41.96/42.11  leq(multiplication(forward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3524
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 978
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1361]
% 41.96/42.11  leq(multiplication(backward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3522
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 979
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1362]
% 41.96/42.11  leq(multiplication(antidomain(A),codomain(B)) addition C,c(A) addition C) ->
% 41.96/42.11  true
% 41.96/42.11  Current number of equations to process: 3516
% 41.96/42.11  Current number of ordered equations: 1
% 41.96/42.11  Current number of rules: 980
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1363]
% 41.96/42.11  leq(antidomain(A) addition multiplication(B,codomain(C)),c(A) addition B) ->
% 41.96/42.11  true
% 41.96/42.11  Current number of equations to process: 3516
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 981
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1364]
% 41.96/42.11  leq(multiplication(forward_diamond(A,B),codomain(C)) addition X0,one addition X0)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3514
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 982
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1365]
% 41.96/42.11  leq(multiplication(backward_diamond(A,B),codomain(C)) addition X0,one addition X0)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3512
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 983
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1366]
% 41.96/42.11  leq(antidomain(A) addition multiplication(B,coantidomain(C)),c(A) addition B)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3506
% 41.96/42.11  Current number of ordered equations: 1
% 41.96/42.11  Current number of rules: 984
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1367]
% 41.96/42.11  leq(multiplication(antidomain(A),coantidomain(B)) addition C,c(A) addition C)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3506
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 985
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1368]
% 41.96/42.11  leq(multiplication(forward_diamond(A,B),coantidomain(C)) addition X0,
% 41.96/42.11  one addition X0) -> true
% 41.96/42.11  Current number of equations to process: 3504
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 986
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1369]
% 41.96/42.11  leq(multiplication(backward_diamond(A,B),coantidomain(C)) addition X0,
% 41.96/42.11  one addition X0) -> true
% 41.96/42.11  Current number of equations to process: 3502
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 987
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1370]
% 41.96/42.11  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(B) addition C)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3496
% 41.96/42.11  Current number of ordered equations: 1
% 41.96/42.11  Current number of rules: 988
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1371]
% 41.96/42.11  leq(antidomain(A) addition multiplication(antidomain(B),C),c(A) addition C)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3496
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 989
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1372]
% 41.96/42.11  leq(multiplication(antidomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3494
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 990
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1373]
% 41.96/42.11  leq(multiplication(antidomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3492
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 991
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1374]
% 41.96/42.11  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B addition C)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3487
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 992
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1375]
% 41.96/42.11  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B addition C)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3486
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 993
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1376]
% 41.96/42.11  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B addition C)
% 41.96/42.11  -> true
% 41.96/42.11  Current number of equations to process: 3485
% 41.96/42.11  Current number of ordered equations: 0
% 41.96/42.11  Current number of rules: 994
% 41.96/42.11  New rule produced :
% 41.96/42.11  [1377]
% 41.96/42.11  leq(multiplication(codomain(A),antidomain(B)) addition C,c(B) addition C) ->
% 42.18/42.35  true
% 42.18/42.35  Current number of equations to process: 3483
% 42.18/42.35  Current number of ordered equations: 1
% 42.18/42.35  Current number of rules: 995
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1378]
% 42.18/42.35  leq(antidomain(A) addition multiplication(codomain(B),C),c(A) addition C) ->
% 42.18/42.35  true
% 42.18/42.35  Current number of equations to process: 3483
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 996
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1379]
% 42.18/42.35  leq(multiplication(codomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 42.18/42.35  -> true
% 42.18/42.35  Current number of equations to process: 3481
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 997
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1380]
% 42.18/42.35  leq(multiplication(codomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 42.18/42.35  -> true
% 42.18/42.35  Current number of equations to process: 3479
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 998
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1381]
% 42.18/42.35  leq(multiplication(coantidomain(A),antidomain(B)) addition C,c(B) addition C)
% 42.18/42.35  -> true
% 42.18/42.35  Current number of equations to process: 3473
% 42.18/42.35  Current number of ordered equations: 1
% 42.18/42.35  Current number of rules: 999
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1382]
% 42.18/42.35  leq(antidomain(A) addition multiplication(coantidomain(B),C),c(A) addition C)
% 42.18/42.35  -> true
% 42.18/42.35  Current number of equations to process: 3473
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1000
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1383]
% 42.18/42.35  leq(multiplication(coantidomain(A),forward_diamond(B,C)) addition X0,
% 42.18/42.35  one addition X0) -> true
% 42.18/42.35  Current number of equations to process: 3471
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1001
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1384]
% 42.18/42.35  leq(multiplication(coantidomain(A),backward_diamond(B,C)) addition X0,
% 42.18/42.35  one addition X0) -> true
% 42.18/42.35  Current number of equations to process: 3469
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1002
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1385]
% 42.18/42.35  multiplication(multiplication(c(A),B),multiplication(coantidomain(multiplication(
% 42.18/42.35                                                                    antidomain(A),B)),C))
% 42.18/42.35  -> zero
% 42.18/42.35  Current number of equations to process: 3461
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1003
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1386]
% 42.18/42.35  multiplication(multiplication(antidomain(coantidomain(A)),B),multiplication(
% 42.18/42.35                                                               coantidomain(
% 42.18/42.35                                                               backward_diamond(B,A)),C))
% 42.18/42.35  -> zero
% 42.18/42.35  Current number of equations to process: 3460
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1004
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1387]
% 42.18/42.35  multiplication(multiplication(A,B),multiplication(C,multiplication(coantidomain(
% 42.18/42.35                                                                     backward_diamond(C,B)),X0)))
% 42.18/42.35  -> zero
% 42.18/42.35  Current number of equations to process: 3459
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1005
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1388]
% 42.18/42.35  multiplication(multiplication(A,c(B)),multiplication(C,coantidomain(multiplication(
% 42.18/42.35                                                                      antidomain(B),C))))
% 42.18/42.35  -> zero
% 42.18/42.35  Current number of equations to process: 3456
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1006
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1389]
% 42.18/42.35  multiplication(multiplication(A,multiplication(B,C)),multiplication(X0,
% 42.18/42.35                                                       coantidomain(backward_diamond(X0,C))))
% 42.18/42.35  -> zero
% 42.18/42.35  Current number of equations to process: 3454
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1007
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1390]
% 42.18/42.35  multiplication(multiplication(multiplication(A,c(B)),C),coantidomain(
% 42.18/42.35                                                          multiplication(
% 42.18/42.35                                                          antidomain(B),C))) ->
% 42.18/42.35  zero
% 42.18/42.35  Current number of equations to process: 3446
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1008
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1391]
% 42.18/42.35  multiplication(multiplication(multiplication(A,multiplication(B,C)),X0),
% 42.18/42.35  coantidomain(backward_diamond(X0,C))) -> zero
% 42.18/42.35  Current number of equations to process: 3444
% 42.18/42.35  Current number of ordered equations: 0
% 42.18/42.35  Current number of rules: 1009
% 42.18/42.35  New rule produced :
% 42.18/42.35  [1392]
% 42.18/42.35  multiplication(multiplication(multiplication(A,B),C),multiplication(coantidomain(
% 43.47/43.61                                                                      backward_diamond(C,B)),X0))
% 43.47/43.61  -> zero
% 43.47/43.61  Current number of equations to process: 3433
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1010
% 43.47/43.61  New rule produced : [1393] c(c(forward_diamond(A,B))) -> forward_diamond(A,B)
% 43.47/43.61  Rule [752] c(c(forward_diamond(X0,c(c(X1))))) -> forward_diamond(X0,X1)
% 43.47/43.61  collapsed.
% 43.47/43.61  Rule
% 43.47/43.61  [773]
% 43.47/43.61  c(c(forward_diamond(A,antidomain(B)))) -> forward_diamond(A,antidomain(B))
% 43.47/43.61  collapsed.
% 43.47/43.61  Rule
% 43.47/43.61  [805]
% 43.47/43.61  c(c(forward_diamond(A,multiplication(B,c(c(C)))))) ->
% 43.47/43.61  forward_diamond(A,multiplication(B,c(c(C)))) collapsed.
% 43.47/43.61  Rule
% 43.47/43.61  [860]
% 43.47/43.61  c(c(forward_diamond(multiplication(A,B),C))) ->
% 43.47/43.61  forward_diamond(multiplication(A,B),C) collapsed.
% 43.47/43.61  Rule
% 43.47/43.61  [1195]
% 43.47/43.61  c(c(forward_diamond(A,c(backward_box(B,C))))) ->
% 43.47/43.61  forward_diamond(A,c(backward_box(B,C))) collapsed.
% 43.47/43.61  Current number of equations to process: 3481
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1006
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1394] forward_diamond(X0,c(c(X1))) -> forward_diamond(X0,X1)
% 43.47/43.61  Rule [761] forward_diamond(c(A),c(c(A))) -> zero collapsed.
% 43.47/43.61  Rule
% 43.47/43.61  [772]
% 43.47/43.61  antidomain(forward_diamond(A,c(c(B)))) -> antidomain(forward_diamond(A,B))
% 43.47/43.61  collapsed.
% 43.47/43.61  Current number of equations to process: 3480
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1005
% 43.47/43.61  New rule produced : [1395] forward_diamond(antidomain(A),A) -> zero
% 43.47/43.61  Current number of equations to process: 3481
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1006
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1396] forward_diamond(antidomain(B) addition A,B) -> forward_diamond(A,B)
% 43.47/43.61  Current number of equations to process: 3487
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1007
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1397] forward_diamond(multiplication(c(A),antidomain(B)),A) -> zero
% 43.47/43.61  Current number of equations to process: 3486
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1008
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1398] forward_diamond(multiplication(c(A),codomain(B)),A) -> zero
% 43.47/43.61  Current number of equations to process: 3485
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1009
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1399] forward_diamond(multiplication(c(A),coantidomain(B)),A) -> zero
% 43.47/43.61  Current number of equations to process: 3484
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1010
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1400]
% 43.47/43.61  forward_diamond(c(c(A)) addition B,antidomain(A)) ->
% 43.47/43.61  forward_diamond(B,antidomain(A))
% 43.47/43.61  Current number of equations to process: 3487
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1011
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1401]
% 43.47/43.61  forward_diamond(multiplication(c(B),antidomain(C)) addition A,B) ->
% 43.47/43.61  forward_diamond(A,B)
% 43.47/43.61  Current number of equations to process: 3489
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1012
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1402]
% 43.47/43.61  forward_diamond(multiplication(c(B),codomain(C)) addition A,B) ->
% 43.47/43.61  forward_diamond(A,B)
% 43.47/43.61  Current number of equations to process: 3488
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1013
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1403]
% 43.47/43.61  forward_diamond(multiplication(c(B),coantidomain(C)) addition A,B) ->
% 43.47/43.61  forward_diamond(A,B)
% 43.47/43.61  Current number of equations to process: 3487
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1014
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1404]
% 43.47/43.61  c(c(c(B) addition multiplication(A,c(B)))) ->
% 43.47/43.61  forward_diamond(one addition A,antidomain(B))
% 43.47/43.61  Current number of equations to process: 3492
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1015
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1405]
% 43.47/43.61  multiplication(c(backward_box(sK3_goals_X0,sK1_goals_X2)),c(c(sK2_goals_X1)))
% 43.47/43.61  -> c(backward_box(sK3_goals_X0,sK1_goals_X2))
% 43.47/43.61  Current number of equations to process: 3522
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1016
% 43.47/43.61  New rule produced :
% 43.47/43.61  [1406]
% 43.47/43.61  multiplication(c(c(sK2_goals_X1)),coantidomain(backward_box(sK3_goals_X0,sK1_goals_X2)))
% 43.47/43.61  -> coantidomain(backward_box(sK3_goals_X0,sK1_goals_X2))
% 43.47/43.61  Current number of equations to process: 3521
% 43.47/43.61  Current number of ordered equations: 0
% 43.47/43.61  Current number of rules: 1017
% 43.47/43.61  New rule produced : [1407] antidomain(one addition A) -> zero
% 44.08/44.29  Current number of equations to process: 3521
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1018
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1408] multiplication(antidomain(A),multiplication(codomain(B),A)) -> zero
% 44.08/44.29  Current number of equations to process: 3535
% 44.08/44.29  Current number of ordered equations: 1
% 44.08/44.29  Current number of rules: 1019
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1409]
% 44.08/44.29  multiplication(antidomain(A),multiplication(coantidomain(B),A)) -> zero
% 44.08/44.29  Current number of equations to process: 3535
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1020
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1410] multiplication(multiplication(A,antidomain(B addition C)),B) -> zero
% 44.08/44.29  Current number of equations to process: 3547
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1021
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1411] multiplication(antidomain(A addition B),multiplication(A,C)) -> zero
% 44.08/44.29  Current number of equations to process: 3546
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1022
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1412] multiplication(antidomain(A),multiplication(antidomain(B),A)) -> zero
% 44.08/44.29  Current number of equations to process: 3554
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1023
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1413] multiplication(antidomain(c(A) addition B),antidomain(A)) -> zero
% 44.08/44.29  Current number of equations to process: 3555
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1024
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1414]
% 44.08/44.29  codomain(A) addition antidomain(coantidomain(A) addition B) -> codomain(A)
% 44.08/44.29  Current number of equations to process: 3556
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1025
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1415]
% 44.08/44.29  multiplication(antidomain(A addition B),multiplication(coantidomain(C),A)) ->
% 44.08/44.29  zero
% 44.08/44.29  Current number of equations to process: 3562
% 44.08/44.29  Current number of ordered equations: 1
% 44.08/44.29  Current number of rules: 1026
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1416]
% 44.08/44.29  multiplication(antidomain(A addition B),multiplication(codomain(C),A)) ->
% 44.08/44.29  zero
% 44.08/44.29  Current number of equations to process: 3562
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1027
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1417]
% 44.08/44.29  multiplication(antidomain(A addition B),multiplication(antidomain(C),A)) ->
% 44.08/44.29  zero
% 44.08/44.29  Current number of equations to process: 3561
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1028
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1418]
% 44.08/44.29  antidomain(forward_diamond(antidomain(c(A) addition B),antidomain(A))) -> one
% 44.08/44.29  Current number of equations to process: 3558
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1029
% 44.08/44.29  New rule produced : [1419] coantidomain(one addition A) -> zero
% 44.08/44.29  Current number of equations to process: 3558
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1030
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1420] backward_diamond(coantidomain(codomain(A) addition B),A) -> zero
% 44.08/44.29  Current number of equations to process: 3560
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1031
% 44.08/44.29  New rule produced : [1421] multiplication(A,codomain(A addition B)) -> A
% 44.08/44.29  Current number of equations to process: 3570
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1032
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1422] multiplication(multiplication(A,codomain(B)),coantidomain(A)) -> zero
% 44.08/44.29  Current number of equations to process: 3568
% 44.08/44.29  Current number of ordered equations: 1
% 44.08/44.29  Current number of rules: 1033
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1423]
% 44.08/44.29  multiplication(multiplication(A,coantidomain(B)),coantidomain(A)) -> zero
% 44.08/44.29  Current number of equations to process: 3568
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1034
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1424] multiplication(multiplication(A,B),coantidomain(B addition C)) -> zero
% 44.08/44.29  Current number of equations to process: 3589
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1035
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1425] multiplication(A,multiplication(coantidomain(A addition B),C)) -> zero
% 44.08/44.29  Current number of equations to process: 3588
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1036
% 44.08/44.29  New rule produced :
% 44.08/44.29  [1426] multiplication(antidomain(A),coantidomain(c(A))) -> zero
% 44.08/44.29  Current number of equations to process: 3598
% 44.08/44.29  Current number of ordered equations: 0
% 44.08/44.29  Current number of rules: 1037
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1427]
% 44.87/45.01  multiplication(multiplication(A,antidomain(B)),coantidomain(A)) -> zero
% 44.87/45.01  Current number of equations to process: 3597
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1038
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1428] multiplication(antidomain(A),coantidomain(c(A) addition B)) -> zero
% 44.87/45.01  Current number of equations to process: 3596
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1039
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1429]
% 44.87/45.01  codomain(A) addition coantidomain(coantidomain(A) addition B) -> codomain(A)
% 44.87/45.01  Current number of equations to process: 3604
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1040
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1430]
% 44.87/45.01  backward_diamond(multiplication(coantidomain(codomain(A) addition B),C),A) ->
% 44.87/45.01  zero
% 44.87/45.01  Current number of equations to process: 3623
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1041
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1431]
% 44.87/45.01  multiplication(multiplication(A,codomain(B)),coantidomain(A addition C)) ->
% 44.87/45.01  zero
% 44.87/45.01  Current number of equations to process: 3620
% 44.87/45.01  Current number of ordered equations: 1
% 44.87/45.01  Current number of rules: 1042
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1432]
% 44.87/45.01  multiplication(multiplication(A,coantidomain(B)),coantidomain(A addition C))
% 44.87/45.01  -> zero
% 44.87/45.01  Current number of equations to process: 3620
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1043
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1433]
% 44.87/45.01  multiplication(multiplication(A,antidomain(B)),coantidomain(A addition C)) ->
% 44.87/45.01  zero
% 44.87/45.01  Current number of equations to process: 3617
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1044
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1434] leq(antidomain(backward_diamond(A,c(B))),backward_box(A,B)) -> true
% 44.87/45.01  Current number of equations to process: 3623
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1045
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1435]
% 44.87/45.01  multiplication(antidomain(codomain(A) addition B),coantidomain(A)) ->
% 44.87/45.01  antidomain(codomain(A) addition B)
% 44.87/45.01  Current number of equations to process: 3628
% 44.87/45.01  Current number of ordered equations: 1
% 44.87/45.01  Current number of rules: 1046
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1436]
% 44.87/45.01  multiplication(antidomain(coantidomain(A) addition B),codomain(A)) ->
% 44.87/45.01  antidomain(coantidomain(A) addition B)
% 44.87/45.01  Current number of equations to process: 3628
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1047
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1437]
% 44.87/45.01  multiplication(multiplication(A,antidomain(B addition C)),multiplication(B,X0))
% 44.87/45.01  -> zero
% 44.87/45.01  Current number of equations to process: 3627
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1048
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1438]
% 44.87/45.01  multiplication(antidomain(A addition B),multiplication(multiplication(A,C),X0))
% 44.87/45.01  -> zero
% 44.87/45.01  Current number of equations to process: 3625
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1049
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1439]
% 44.87/45.01  multiplication(codomain(A),coantidomain(coantidomain(A) addition B)) ->
% 44.87/45.01  coantidomain(coantidomain(A) addition B)
% 44.87/45.01  Current number of equations to process: 3611
% 44.87/45.01  Current number of ordered equations: 1
% 44.87/45.01  Current number of rules: 1050
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1440]
% 44.87/45.01  multiplication(coantidomain(A),coantidomain(codomain(A) addition B)) ->
% 44.87/45.01  coantidomain(codomain(A) addition B)
% 44.87/45.01  Current number of equations to process: 3611
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1051
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1441]
% 44.87/45.01  multiplication(multiplication(A,B),multiplication(coantidomain(B addition C),X0))
% 44.87/45.01  -> zero
% 44.87/45.01  Current number of equations to process: 3610
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1052
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1442]
% 44.87/45.01  multiplication(multiplication(A,multiplication(B,C)),coantidomain(C addition X0))
% 44.87/45.01  -> zero
% 44.87/45.01  Current number of equations to process: 3606
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1053
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1443]
% 44.87/45.01  backward_diamond(coantidomain(codomain(B) addition C) addition A,B) ->
% 44.87/45.01  backward_diamond(A,B)
% 44.87/45.01  Current number of equations to process: 3600
% 44.87/45.01  Current number of ordered equations: 0
% 44.87/45.01  Current number of rules: 1054
% 44.87/45.01  New rule produced :
% 44.87/45.01  [1444]
% 44.87/45.01  codomain(antidomain(A) addition B) addition antidomain(A) ->
% 44.87/45.01  codomain(antidomain(A) addition B)
% 44.87/45.01  Current number of equations to process: 3598
% 44.87/45.01  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1055
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1445]
% 46.67/46.87  codomain(codomain(A) addition B) addition codomain(A) ->
% 46.67/46.87  codomain(codomain(A) addition B)
% 46.67/46.87  Current number of equations to process: 3597
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1056
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1446]
% 46.67/46.87  codomain(coantidomain(A) addition B) addition coantidomain(A) ->
% 46.67/46.87  codomain(coantidomain(A) addition B)
% 46.67/46.87  Current number of equations to process: 3596
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1057
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1447] leq(backward_box(A,B) addition antidomain(C),one addition X0) -> true
% 46.67/46.87  Current number of equations to process: 3668
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1058
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1448] leq(backward_box(A,B) addition codomain(C),one addition X0) -> true
% 46.67/46.87  Current number of equations to process: 3667
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1059
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1449]
% 46.67/46.87  leq(backward_box(A,B) addition coantidomain(C),one addition X0) -> true
% 46.67/46.87  Current number of equations to process: 3666
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1060
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1450] leq(backward_box(A,B) addition c(C),one addition X0) -> true
% 46.67/46.87  Current number of equations to process: 3665
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1061
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1451]
% 46.67/46.87  backward_diamond(coantidomain(backward_diamond(A,B) addition C),multiplication(
% 46.67/46.87                                                                  codomain(B),A))
% 46.67/46.87  -> zero
% 46.67/46.87  Current number of equations to process: 3765
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1062
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1452]
% 46.67/46.87  backward_diamond(multiplication(A,coantidomain(multiplication(codomain(B),A) addition C)),B)
% 46.67/46.87  -> zero
% 46.67/46.87  Current number of equations to process: 3764
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1063
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1453]
% 46.67/46.87  backward_diamond(multiplication(multiplication(coantidomain(codomain(A) addition B),C),X0),A)
% 46.67/46.87  -> zero
% 46.67/46.87  Current number of equations to process: 3756
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1064
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1454]
% 46.67/46.87  leq(antidomain(multiplication(A,c(B))),antidomain(forward_diamond(A,antidomain(B))))
% 46.67/46.87  -> true
% 46.67/46.87  Current number of equations to process: 3755
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1065
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1455]
% 46.67/46.87  leq(antidomain(backward_diamond(A,c(B))),backward_box(A,B) addition C) ->
% 46.67/46.87  true
% 46.67/46.87  Current number of equations to process: 3754
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1066
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1456]
% 46.67/46.87  leq(backward_box(A,B) addition forward_diamond(C,X0),one addition X1) -> true
% 46.67/46.87  Current number of equations to process: 3753
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1067
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1457]
% 46.67/46.87  leq(backward_box(A,B) addition backward_diamond(C,X0),one addition X1) ->
% 46.67/46.87  true
% 46.67/46.87  Current number of equations to process: 3752
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1068
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1458] leq(multiplication(A,antidomain(B)),multiplication(A,c(B))) -> true
% 46.67/46.87  Current number of equations to process: 3785
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1069
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1459]
% 46.67/46.87  multiplication(c(backward_box(A,B)),antidomain(backward_diamond(A,c(B)))) ->
% 46.67/46.87  zero
% 46.67/46.87  Current number of equations to process: 3799
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1070
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1460]
% 46.67/46.87  multiplication(antidomain(backward_diamond(A,c(B))),coantidomain(backward_box(A,B)))
% 46.67/46.87  -> zero
% 46.67/46.87  Current number of equations to process: 3798
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1071
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1461]
% 46.67/46.87  leq(multiplication(A,antidomain(B)),multiplication(A,c(B)) addition C) ->
% 46.67/46.87  true
% 46.67/46.87  Current number of equations to process: 3818
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1072
% 46.67/46.87  New rule produced :
% 46.67/46.87  [1462] multiplication(antidomain(A),c(A)) -> antidomain(A)
% 46.67/46.87  Current number of equations to process: 3884
% 46.67/46.87  Current number of ordered equations: 0
% 46.67/46.87  Current number of rules: 1073
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1463]
% 50.18/50.32  multiplication(antidomain(multiplication(A,c(B))),multiplication(A,antidomain(B)))
% 50.18/50.32  -> zero
% 50.18/50.32  Current number of equations to process: 3978
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1074
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1464]
% 50.18/50.32  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 50.18/50.32                                                              c(B)))) -> zero
% 50.18/50.32  Current number of equations to process: 3977
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1075
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1465] leq(multiplication(antidomain(A),B),multiplication(c(A),B)) -> true
% 50.18/50.32  Current number of equations to process: 3996
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1076
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1466]
% 50.18/50.32  multiplication(antidomain(A),multiplication(coantidomain(c(A)),B)) -> zero
% 50.18/50.32  Current number of equations to process: 4004
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1077
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1467]
% 50.18/50.32  leq(multiplication(antidomain(A),B),multiplication(c(A),B) addition C) ->
% 50.18/50.32  true
% 50.18/50.32  Current number of equations to process: 4032
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1078
% 50.18/50.32  New rule produced : [1468] leq(multiplication(c(A),B),B) -> true
% 50.18/50.32  Rule [770] leq(multiplication(c(c(A)),B),B) -> true collapsed.
% 50.18/50.32  Current number of equations to process: 4104
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1078
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1469] leq(multiplication(c(A),B) addition C,B addition C) -> true
% 50.18/50.32  Rule [903] leq(multiplication(c(c(A)),B) addition C,B addition C) -> true
% 50.18/50.32  collapsed.
% 50.18/50.32  Current number of equations to process: 4107
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1078
% 50.18/50.32  New rule produced : [1470] leq(multiplication(c(A),B),B addition C) -> true
% 50.18/50.32  Rule [793] leq(multiplication(c(c(A)),B),B addition C) -> true collapsed.
% 50.18/50.32  Current number of equations to process: 4160
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1078
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1471]
% 50.18/50.32  multiplication(antidomain(multiplication(c(A),B)),multiplication(antidomain(A),B))
% 50.18/50.32  -> zero
% 50.18/50.32  Current number of equations to process: 4193
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1079
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1472]
% 50.18/50.32  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 50.18/50.32                                                              c(A),B))) -> zero
% 50.18/50.32  Current number of equations to process: 4192
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1080
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1473] leq(antidomain(A) addition antidomain(B),c(A) addition c(B)) -> true
% 50.18/50.32  Current number of equations to process: 4267
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1081
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1474]
% 50.18/50.32  leq(one,antidomain(multiplication(antidomain(antidomain(A) addition B),c(A))))
% 50.18/50.32  -> true
% 50.18/50.32  Current number of equations to process: 4336
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1082
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1475]
% 50.18/50.32  antidomain(multiplication(A,forward_diamond(coantidomain(A),B))) -> one
% 50.18/50.32  Current number of equations to process: 4337
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1083
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1476] antidomain(multiplication(antidomain(A),forward_diamond(A,B))) -> one
% 50.18/50.32  Current number of equations to process: 4338
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1084
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1477]
% 50.18/50.32  antidomain(multiplication(coantidomain(A),forward_diamond(codomain(A),B))) ->
% 50.18/50.32  one
% 50.18/50.32  Current number of equations to process: 4369
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1085
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1478]
% 50.18/50.32  antidomain(multiplication(multiplication(A,B),forward_diamond(coantidomain(B),C)))
% 50.18/50.32  -> one
% 50.18/50.32  Current number of equations to process: 4376
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1086
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1479]
% 50.18/50.32  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(B,C)))
% 50.18/50.32  -> one
% 50.18/50.32  Current number of equations to process: 4375
% 50.18/50.32  Current number of ordered equations: 0
% 50.18/50.32  Current number of rules: 1087
% 50.18/50.32  New rule produced :
% 50.18/50.32  [1480]
% 50.18/50.32  antidomain(multiplication(A,forward_diamond(multiplication(coantidomain(A),B),C)))
% 51.28/51.46  -> one
% 51.28/51.46  Current number of equations to process: 4374
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1088
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1481]
% 51.28/51.46  antidomain(multiplication(antidomain(A),forward_diamond(multiplication(A,B),C)))
% 51.28/51.46  -> one
% 51.28/51.46  Current number of equations to process: 4373
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1089
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1482]
% 51.28/51.46  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 51.28/51.46                                                              codomain(B),C)))
% 51.28/51.46  -> one
% 51.28/51.46  Current number of equations to process: 4420
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1090
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1483]
% 51.28/51.46  antidomain(multiplication(coantidomain(A),forward_diamond(multiplication(
% 51.28/51.46                                                            codomain(A),B),C)))
% 51.28/51.46  -> one
% 51.28/51.46  Current number of equations to process: 4419
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1091
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1484]
% 51.28/51.46  antidomain(multiplication(multiplication(A,B),forward_diamond(multiplication(
% 51.28/51.46                                                                coantidomain(B),C),X0)))
% 51.28/51.46  -> one
% 51.28/51.46  Current number of equations to process: 4434
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1092
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1485]
% 51.28/51.46  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(
% 51.28/51.46                                                            multiplication(B,C),X0)))
% 51.28/51.46  -> one
% 51.28/51.46  Current number of equations to process: 4433
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1093
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1486]
% 51.28/51.46  forward_diamond(A,B) addition antidomain(multiplication(A,forward_diamond(
% 51.28/51.46                                                            codomain(A),B))) ->
% 51.28/51.46  one
% 51.28/51.46  Current number of equations to process: 4482
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1094
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1487]
% 51.28/51.46  multiplication(multiplication(antidomain(multiplication(A,B) addition C),A),
% 51.28/51.46  multiplication(B,X0)) -> zero
% 51.28/51.46  Current number of equations to process: 4585
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1095
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1488]
% 51.28/51.46  multiplication(antidomain(multiplication(A,B) addition C),multiplication(A,
% 51.28/51.46                                                            multiplication(B,X0)))
% 51.28/51.46  -> zero
% 51.28/51.46  Current number of equations to process: 4584
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1096
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1489]
% 51.28/51.46  multiplication(multiplication(A,B),multiplication(C,coantidomain(multiplication(B,C) addition X0)))
% 51.28/51.46  -> zero
% 51.28/51.46  Current number of equations to process: 4581
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1097
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1490]
% 51.28/51.46  multiplication(multiplication(multiplication(A,B),C),coantidomain(multiplication(B,C) addition X0))
% 51.28/51.46  -> zero
% 51.28/51.46  Current number of equations to process: 4580
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1098
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1491]
% 51.28/51.46  leq(multiplication(antidomain(backward_diamond(A,c(B))),antidomain(C)),
% 51.28/51.46  backward_box(A,B)) -> true
% 51.28/51.46  Current number of equations to process: 4574
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1099
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1492]
% 51.28/51.46  leq(multiplication(antidomain(backward_diamond(A,c(B))),codomain(C)),
% 51.28/51.46  backward_box(A,B)) -> true
% 51.28/51.46  Current number of equations to process: 4573
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1100
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1493]
% 51.28/51.46  leq(multiplication(antidomain(backward_diamond(A,c(B))),coantidomain(C)),
% 51.28/51.46  backward_box(A,B)) -> true
% 51.28/51.46  Current number of equations to process: 4572
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1101
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1494]
% 51.28/51.46  leq(multiplication(antidomain(A),antidomain(backward_diamond(B,c(C)))),
% 51.28/51.46  backward_box(B,C)) -> true
% 51.28/51.46  Current number of equations to process: 4571
% 51.28/51.46  Current number of ordered equations: 0
% 51.28/51.46  Current number of rules: 1102
% 51.28/51.46  New rule produced :
% 51.28/51.46  [1495]
% 51.28/51.46  leq(multiplication(codomain(A),antidomain(backward_diamond(B,c(C)))),
% 51.28/51.46  backward_box(B,C)) -> true
% 51.28/51.46  Current number of equations to process: 4570
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1103
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1496]
% 51.50/51.66  leq(multiplication(coantidomain(A),antidomain(backward_diamond(B,c(C)))),
% 51.50/51.66  backward_box(B,C)) -> true
% 51.50/51.66  Current number of equations to process: 4569
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1104
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1497]
% 51.50/51.66  multiplication(antidomain(backward_box(A,B) addition C),antidomain(backward_diamond(A,
% 51.50/51.66                                                                     c(B)))) ->
% 51.50/51.66  zero
% 51.50/51.66  Current number of equations to process: 4568
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1105
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1498]
% 51.50/51.66  multiplication(antidomain(backward_diamond(A,c(B))),coantidomain(backward_box(A,B) addition C))
% 51.50/51.66  -> zero
% 51.50/51.66  Current number of equations to process: 4567
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1106
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1499]
% 51.50/51.66  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),multiplication(A,
% 51.50/51.66                                                                    c(B))) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4566
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1107
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1500]
% 51.50/51.66  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),multiplication(A,
% 51.50/51.66                                                                  c(B))) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4565
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1108
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1501]
% 51.50/51.66  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),multiplication(A,
% 51.50/51.66                                                                      c(B))) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4564
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1109
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1502]
% 51.50/51.66  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 51.50/51.66                                                                    c(C))) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4563
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1110
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1503]
% 51.50/51.66  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 51.50/51.66                                                                  c(C))) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4562
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1111
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1504]
% 51.50/51.66  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 51.50/51.66                                                                      c(C))) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4561
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1112
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1505]
% 51.50/51.66  multiplication(antidomain(multiplication(A,c(B)) addition C),multiplication(A,
% 51.50/51.66                                                               antidomain(B)))
% 51.50/51.66  -> zero
% 51.50/51.66  Current number of equations to process: 4560
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1113
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1506]
% 51.50/51.66  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 51.50/51.66                                                              c(B)) addition C))
% 51.50/51.66  -> zero
% 51.50/51.66  Current number of equations to process: 4559
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1114
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1507]
% 51.50/51.66  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),multiplication(
% 51.50/51.66                                                                    c(A),B)) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4558
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1115
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1508]
% 51.50/51.66  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),multiplication(
% 51.50/51.66                                                                  c(A),B)) ->
% 51.50/51.66  true
% 51.50/51.66  Current number of equations to process: 4557
% 51.50/51.66  Current number of ordered equations: 0
% 51.50/51.66  Current number of rules: 1116
% 51.50/51.66  New rule produced :
% 51.50/51.66  [1509]
% 51.50/51.66  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),multiplication(
% 51.50/51.66                                                                      c(A),B))
% 52.70/52.83  -> true
% 52.70/52.83  Current number of equations to process: 4556
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1117
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1510]
% 52.70/52.83  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),multiplication(
% 52.70/52.83                                                                    c(B),C)) ->
% 52.70/52.83  true
% 52.70/52.83  Current number of equations to process: 4555
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1118
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1511]
% 52.70/52.83  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),multiplication(
% 52.70/52.83                                                                  c(B),C)) ->
% 52.70/52.83  true
% 52.70/52.83  Current number of equations to process: 4554
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1119
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1512]
% 52.70/52.83  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),multiplication(
% 52.70/52.83                                                                      c(B),C))
% 52.70/52.83  -> true
% 52.70/52.83  Current number of equations to process: 4553
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1120
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1513]
% 52.70/52.83  leq(multiplication(c(A),B) addition C,B addition C addition X0) -> true
% 52.70/52.83  Current number of equations to process: 4552
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1121
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1514]
% 52.70/52.83  multiplication(antidomain(multiplication(c(A),B) addition C),multiplication(
% 52.70/52.83                                                               antidomain(A),B))
% 52.70/52.83  -> zero
% 52.70/52.83  Current number of equations to process: 4551
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1122
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1515]
% 52.70/52.83  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 52.70/52.83                                                              c(A),B) addition C))
% 52.70/52.83  -> zero
% 52.70/52.83  Current number of equations to process: 4550
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1123
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1516]
% 52.70/52.83  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 52.70/52.83                                                              multiplication(
% 52.70/52.83                                                              codomain(B),C),X0)))
% 52.70/52.83  -> one
% 52.70/52.83  Current number of equations to process: 4545
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1124
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1517]
% 52.70/52.83  antidomain(multiplication(antidomain(A addition B),forward_diamond(A,C))) ->
% 52.70/52.83  one
% 52.70/52.83  Current number of equations to process: 4554
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1125
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1518]
% 52.70/52.83  antidomain(multiplication(A,forward_diamond(coantidomain(A addition B),C)))
% 52.70/52.83  -> one
% 52.70/52.83  Current number of equations to process: 4553
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1126
% 52.70/52.83  New rule produced : [1519] backward_box(A,one) -> one
% 52.70/52.83  Current number of equations to process: 4555
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1127
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1520]
% 52.70/52.83  codomain(multiplication(coantidomain(A),B)) ->
% 52.70/52.83  backward_diamond(B,coantidomain(A))
% 52.70/52.83  Current number of equations to process: 4556
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1128
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1521]
% 52.70/52.83  backward_diamond(coantidomain(B) addition A,B) -> backward_diamond(A,B)
% 52.70/52.83  Current number of equations to process: 4563
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1129
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1522]
% 52.70/52.83  backward_diamond(multiplication(multiplication(coantidomain(A),B),C),A) ->
% 52.70/52.83  zero
% 52.70/52.83  Current number of equations to process: 4565
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1130
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1523]
% 52.70/52.83  antidomain(multiplication(codomain(A),forward_diamond(coantidomain(A),B))) ->
% 52.70/52.83  one
% 52.70/52.83  Current number of equations to process: 4566
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1131
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1524]
% 52.70/52.83  backward_diamond(multiplication(codomain(A),B),coantidomain(A)) -> zero
% 52.70/52.83  Current number of equations to process: 4573
% 52.70/52.83  Current number of ordered equations: 0
% 52.70/52.83  Current number of rules: 1132
% 52.70/52.83  New rule produced :
% 52.70/52.83  [1525] backward_box(multiplication(coantidomain(c(A)),B),A) -> one
% 52.70/52.83  Current number of equations to process: 4572
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1133
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1526] codomain(backward_diamond(A,B)) -> backward_diamond(A,B)
% 53.69/53.86  Rule
% 53.69/53.86  [1002]
% 53.69/53.86  backward_diamond(codomain(backward_diamond(A,B)),multiplication(codomain(B),A))
% 53.69/53.86  -> codomain(backward_diamond(A,B)) collapsed.
% 53.69/53.86  Current number of equations to process: 4580
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1133
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1527]
% 53.69/53.86  backward_diamond(backward_diamond(A,B),multiplication(codomain(B),A)) ->
% 53.69/53.86  backward_diamond(A,B)
% 53.69/53.86  Current number of equations to process: 4582
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1134
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1528]
% 53.69/53.86  coantidomain(multiplication(coantidomain(A),B)) ->
% 53.69/53.86  coantidomain(backward_diamond(B,coantidomain(A)))
% 53.69/53.86  Rule
% 53.69/53.86  [1124]
% 53.69/53.86  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 53.69/53.86                                                           multiplication(
% 53.69/53.86                                                           coantidomain(A),B)))
% 53.69/53.86  -> zero collapsed.
% 53.69/53.86  Current number of equations to process: 4590
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1134
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1529]
% 53.69/53.86  codomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 53.69/53.86  backward_diamond(multiplication(B,C),coantidomain(A))
% 53.69/53.86  Current number of equations to process: 4589
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1135
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1530]
% 53.69/53.86  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,antidomain(A))))
% 53.69/53.86  -> one
% 53.69/53.86  Current number of equations to process: 4594
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1136
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1531]
% 53.69/53.86  backward_diamond(coantidomain(backward_diamond(A,coantidomain(B))),multiplication(
% 53.69/53.86                                                                     coantidomain(B),A))
% 53.69/53.86  -> zero
% 53.69/53.86  Current number of equations to process: 4617
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1137
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1532]
% 53.69/53.86  backward_diamond(multiplication(multiplication(multiplication(coantidomain(A),B),C),X0),A)
% 53.69/53.86  -> zero
% 53.69/53.86  Current number of equations to process: 4616
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1138
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1533]
% 53.69/53.86  codomain(coantidomain(A) addition multiplication(coantidomain(A),B)) ->
% 53.69/53.86  backward_diamond(one addition B,coantidomain(A))
% 53.69/53.86  Current number of equations to process: 4635
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1139
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1534]
% 53.69/53.86  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 53.69/53.86                                                           backward_diamond(B,
% 53.69/53.86                                                           coantidomain(A))))
% 53.69/53.86  -> zero
% 53.69/53.86  Current number of equations to process: 4639
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1140
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1535]
% 53.69/53.86  backward_diamond(multiplication(coantidomain(A),B) addition multiplication(
% 53.69/53.86                                                              coantidomain(A),C),A)
% 53.69/53.86  -> zero
% 53.69/53.86  Current number of equations to process: 4637
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1141
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1536]
% 53.69/53.86  backward_box(multiplication(coantidomain(backward_box(A,B)),C),backward_diamond(A,
% 53.69/53.86                                                                 c(B))) -> one
% 53.69/53.86  Current number of equations to process: 4636
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1142
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1537]
% 53.69/53.86  coantidomain(backward_diamond(codomain(A),multiplication(B,coantidomain(A))))
% 53.69/53.86  -> one
% 53.69/53.86  Current number of equations to process: 4654
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1143
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1538]
% 53.69/53.86  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,A)))
% 53.69/53.86  -> one
% 53.69/53.86  Current number of equations to process: 4655
% 53.69/53.86  Current number of ordered equations: 0
% 53.69/53.86  Current number of rules: 1144
% 53.69/53.86  New rule produced :
% 53.69/53.86  [1539]
% 53.69/53.86  coantidomain(backward_diamond(multiplication(codomain(A),B),multiplication(C,
% 53.69/53.86                                                              coantidomain(A))))
% 54.49/54.65  -> one
% 54.49/54.65  Current number of equations to process: 4730
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1145
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1540]
% 54.49/54.65  coantidomain(backward_diamond(coantidomain(multiplication(A,B)),multiplication(
% 54.49/54.65                                                                  multiplication(C,A),B)))
% 54.49/54.65  -> one
% 54.49/54.65  Current number of equations to process: 4738
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1146
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1541]
% 54.49/54.65  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),antidomain(
% 54.49/54.65                                                                      multiplication(A,B))))
% 54.49/54.65  -> one
% 54.49/54.65  Current number of equations to process: 4737
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1147
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1542]
% 54.49/54.65  coantidomain(backward_diamond(multiplication(A,coantidomain(multiplication(B,A))),
% 54.49/54.65               multiplication(C,B))) -> one
% 54.49/54.65  Current number of equations to process: 4736
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1148
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1543]
% 54.49/54.65  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 54.49/54.65                                                                  multiplication(X0,A))))
% 54.49/54.65  -> one
% 54.49/54.65  Current number of equations to process: 4735
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1149
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1544]
% 54.49/54.65  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 54.49/54.65                                                                     antidomain(A)))))
% 54.49/54.65  -> one
% 54.49/54.65  Current number of equations to process: 4734
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1150
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1545]
% 54.49/54.65  coantidomain(backward_diamond(multiplication(multiplication(coantidomain(A),B),C),
% 54.49/54.65               multiplication(X0,A))) -> one
% 54.49/54.65  Current number of equations to process: 4733
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1151
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1546]
% 54.49/54.65  coantidomain(backward_diamond(multiplication(A,B),multiplication(antidomain(
% 54.49/54.65                                                                   multiplication(C,A)),C)))
% 54.49/54.65  -> one
% 54.49/54.65  Current number of equations to process: 4732
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1152
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1547]
% 54.49/54.65  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 54.49/54.65                                                                      antidomain(A))))
% 54.49/54.65  -> one
% 54.49/54.65  Current number of equations to process: 4731
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1153
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1548] coantidomain(backward_diamond(A,antidomain(A addition B))) -> one
% 54.49/54.65  Current number of equations to process: 4821
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1154
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1549] coantidomain(backward_diamond(coantidomain(A addition B),A)) -> one
% 54.49/54.65  Current number of equations to process: 4825
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1155
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1550]
% 54.49/54.65  multiplication(coantidomain(multiplication(A,B)),backward_diamond(B,A)) ->
% 54.49/54.65  zero
% 54.49/54.65  Current number of equations to process: 4824
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1156
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1551]
% 54.49/54.65  multiplication(antidomain(coantidomain(backward_diamond(A,B))),coantidomain(
% 54.49/54.65                                                                 multiplication(B,A)))
% 54.49/54.65  -> zero
% 54.49/54.65  Current number of equations to process: 4822
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1157
% 54.49/54.65  New rule produced : [1552] backward_diamond(A,antidomain(A)) -> zero
% 54.49/54.65  Rule [465] coantidomain(backward_diamond(A,antidomain(A))) -> one collapsed.
% 54.49/54.65  Current number of equations to process: 4827
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1157
% 54.49/54.65  New rule produced :
% 54.49/54.65  [1553] backward_diamond(coantidomain(A),multiplication(B,A)) -> zero
% 54.49/54.65  Rule
% 54.49/54.65  [468]
% 54.49/54.65  coantidomain(backward_diamond(coantidomain(B),multiplication(A,B))) -> one
% 54.49/54.65  collapsed.
% 54.49/54.65  Current number of equations to process: 4827
% 54.49/54.65  Current number of ordered equations: 0
% 54.49/54.65  Current number of rules: 1157
% 54.49/54.65  New rule produced :
% 56.39/56.56  [1554] backward_diamond(A,multiplication(B,antidomain(A))) -> zero
% 56.39/56.56  Rule
% 56.39/56.56  [470]
% 56.39/56.56  coantidomain(backward_diamond(B,multiplication(A,antidomain(B)))) -> one
% 56.39/56.56  collapsed.
% 56.39/56.56  Current number of equations to process: 4835
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1157
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1555]
% 56.39/56.56  coantidomain(backward_diamond(coantidomain(A),multiplication(B,codomain(A))))
% 56.39/56.56  -> one
% 56.39/56.56  Current number of equations to process: 4834
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1158
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1556]
% 56.39/56.56  coantidomain(backward_diamond(antidomain(A),multiplication(B,c(c(A))))) ->
% 56.39/56.56  one
% 56.39/56.56  Current number of equations to process: 4833
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1159
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1557]
% 56.39/56.56  backward_diamond(multiplication(coantidomain(B),C) addition A,B) ->
% 56.39/56.56  backward_diamond(A,B)
% 56.39/56.56  Rule
% 56.39/56.56  [1535]
% 56.39/56.56  backward_diamond(multiplication(coantidomain(A),B) addition multiplication(
% 56.39/56.56                                                              coantidomain(A),C),A)
% 56.39/56.56  -> zero collapsed.
% 56.39/56.56  Current number of equations to process: 4834
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1159
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1558] backward_diamond(multiplication(A,B),antidomain(A)) -> zero
% 56.39/56.56  Rule
% 56.39/56.56  [472]
% 56.39/56.56  coantidomain(backward_diamond(multiplication(A,B),antidomain(A))) -> one
% 56.39/56.56  collapsed.
% 56.39/56.56  Current number of equations to process: 4839
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1159
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1559]
% 56.39/56.56  coantidomain(backward_diamond(multiplication(antidomain(A),B),c(c(A)))) ->
% 56.39/56.56  one
% 56.39/56.56  Current number of equations to process: 4838
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1160
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1560]
% 56.39/56.56  antidomain(multiplication(multiplication(A,codomain(B)),forward_diamond(
% 56.39/56.56                                                          coantidomain(B),C)))
% 56.39/56.56  -> one
% 56.39/56.56  Current number of equations to process: 4839
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1161
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1561]
% 56.39/56.56  antidomain(multiplication(codomain(A),forward_diamond(multiplication(
% 56.39/56.56                                                        coantidomain(A),B),C)))
% 56.39/56.56  -> one
% 56.39/56.56  Current number of equations to process: 4838
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1162
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1562]
% 56.39/56.56  coantidomain(backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B))))
% 56.39/56.56  -> one
% 56.39/56.56  Current number of equations to process: 4846
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1163
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1563]
% 56.39/56.56  backward_box(multiplication(A,coantidomain(backward_diamond(A,c(B)))),B) ->
% 56.39/56.56  one
% 56.39/56.56  Current number of equations to process: 4845
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1164
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1564]
% 56.39/56.56  coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition 
% 56.39/56.56  coantidomain(A) -> one
% 56.39/56.56  Current number of equations to process: 4945
% 56.39/56.56  Current number of ordered equations: 0
% 56.39/56.56  Current number of rules: 1165
% 56.39/56.56  New rule produced :
% 56.39/56.56  [1565]
% 56.39/56.56  codomain(c(A)) addition coantidomain(backward_diamond(antidomain(A),c(A))) ->
% 56.39/56.56  one
% 56.39/56.56  Current number of equations to process: 4970
% 56.39/56.57  Current number of ordered equations: 0
% 56.39/56.57  Current number of rules: 1166
% 56.39/56.57  New rule produced :
% 56.39/56.57  [1566]
% 56.39/56.57  codomain(antidomain(A)) addition coantidomain(backward_diamond(antidomain(A),
% 56.39/56.57                                                antidomain(A))) -> one
% 56.39/56.57  Current number of equations to process: 4969
% 56.39/56.57  Current number of ordered equations: 0
% 56.39/56.57  Current number of rules: 1167
% 56.39/56.57  New rule produced :
% 56.39/56.57  [1567]
% 56.39/56.57  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))))
% 56.39/56.57  -> true
% 56.39/56.57  Current number of equations to process: 2503
% 56.39/56.57  Current number of ordered equations: 0
% 56.39/56.57  Current number of rules: 1168
% 56.39/56.57  New rule produced :
% 56.39/56.57  [1568]
% 56.39/56.57  leq(coantidomain(A),coantidomain(backward_diamond(codomain(A),codomain(A))))
% 56.39/56.57  -> true
% 56.39/56.57  Current number of equations to process: 2506
% 56.39/56.57  Current number of ordered equations: 0
% 56.39/56.57  Current number of rules: 1169
% 56.39/56.57  New rule produced :
% 56.39/56.57  [1569]
% 56.39/56.57  leq(coantidomain(c(A)),coantidomain(backward_diamond(antidomain(A),c(A)))) ->
% 56.39/56.57  true
% 56.39/56.57  Current number of equations to process: 2505
% 56.39/56.57  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1170
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1570]
% 59.00/59.16  leq(coantidomain(antidomain(A)),coantidomain(backward_diamond(antidomain(A),
% 59.00/59.16                                               antidomain(A)))) -> true
% 59.00/59.16  Current number of equations to process: 2504
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1171
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1571]
% 59.00/59.16  leq(coantidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,
% 59.00/59.16                                                       codomain(B)))) -> true
% 59.00/59.16  Current number of equations to process: 2554
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1172
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1572]
% 59.00/59.16  coantidomain(backward_diamond(A,codomain(B))) ->
% 59.00/59.16  coantidomain(backward_diamond(A,B))
% 59.00/59.16  Rule
% 59.00/59.16  [479]
% 59.00/59.16  backward_diamond(A,B) addition coantidomain(backward_diamond(A,codomain(B)))
% 59.00/59.16  -> one collapsed.
% 59.00/59.16  Rule
% 59.00/59.16  [488]
% 59.00/59.16  codomain(multiplication(A,B)) addition coantidomain(backward_diamond(B,
% 59.00/59.16                                                      codomain(A))) -> one
% 59.00/59.16  collapsed.
% 59.00/59.16  Rule
% 59.00/59.16  [489]
% 59.00/59.16  leq(coantidomain(multiplication(A,B)),coantidomain(backward_diamond(B,
% 59.00/59.16                                                     codomain(A)))) -> true
% 59.00/59.16  collapsed.
% 59.00/59.16  Rule
% 59.00/59.16  [1568]
% 59.00/59.16  leq(coantidomain(A),coantidomain(backward_diamond(codomain(A),codomain(A))))
% 59.00/59.16  -> true collapsed.
% 59.00/59.16  Rule
% 59.00/59.16  [1571]
% 59.00/59.16  leq(coantidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,
% 59.00/59.16                                                       codomain(B)))) -> true
% 59.00/59.16  collapsed.
% 59.00/59.16  Current number of equations to process: 2699
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1168
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1573]
% 59.00/59.16  coantidomain(multiplication(multiplication(coantidomain(A),B),C)) ->
% 59.00/59.16  coantidomain(backward_diamond(multiplication(B,C),coantidomain(A)))
% 59.00/59.16  Current number of equations to process: 2769
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1169
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1574]
% 59.00/59.16  backward_diamond(multiplication(multiplication(A,coantidomain(backward_diamond(A,B))),C),B)
% 59.00/59.16  -> zero
% 59.00/59.16  Current number of equations to process: 2768
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1170
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1575]
% 59.00/59.16  antidomain(multiplication(coantidomain(backward_diamond(A,B)),forward_diamond(
% 59.00/59.16                                                                backward_diamond(A,B),C)))
% 59.00/59.16  -> one
% 59.00/59.16  Current number of equations to process: 2771
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1171
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1576]
% 59.00/59.16  backward_box(multiplication(A,multiplication(coantidomain(backward_diamond(A,
% 59.00/59.16                                                            c(B))),C)),B) ->
% 59.00/59.16  one
% 59.00/59.16  Current number of equations to process: 2770
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1172
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1577] forward_diamond(antidomain(c(A) addition B),antidomain(A)) -> zero
% 59.00/59.16  Rule
% 59.00/59.16  [1418]
% 59.00/59.16  antidomain(forward_diamond(antidomain(c(A) addition B),antidomain(A))) -> one
% 59.00/59.16  collapsed.
% 59.00/59.16  Current number of equations to process: 2786
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1172
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1578] leq(multiplication(A,forward_diamond(B,C)),A) -> true
% 59.00/59.16  Current number of equations to process: 2808
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1173
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1579] leq(multiplication(A,forward_diamond(B,C)),A addition X0) -> true
% 59.00/59.16  Current number of equations to process: 2841
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1174
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1580] one addition multiplication(c(A),forward_diamond(B,C)) -> one
% 59.00/59.16  Rule [798] one addition multiplication(c(c(A)),forward_diamond(B,C)) -> one
% 59.00/59.16  collapsed.
% 59.00/59.16  Current number of equations to process: 2877
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1174
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1581]
% 59.00/59.16  one addition multiplication(forward_diamond(A,B),forward_diamond(C,X0)) ->
% 59.00/59.16  one
% 59.00/59.16  Current number of equations to process: 2940
% 59.00/59.16  Current number of ordered equations: 0
% 59.00/59.16  Current number of rules: 1175
% 59.00/59.16  New rule produced :
% 59.00/59.16  [1582]
% 59.00/59.16  one addition multiplication(backward_diamond(A,B),forward_diamond(C,X0)) ->
% 59.00/59.16  one
% 59.00/59.16  Current number of equations to process: 2939
% 59.00/59.16  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1176
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1583]
% 62.48/62.60  c(A) addition multiplication(antidomain(A),forward_diamond(B,C)) -> c(A)
% 62.48/62.60  Current number of equations to process: 3008
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1177
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1584] forward_diamond(multiplication(c(A),forward_diamond(B,C)),A) -> zero
% 62.48/62.60  Current number of equations to process: 3012
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1178
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1585]
% 62.48/62.60  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A)) ->
% 62.48/62.60  zero
% 62.48/62.60  Current number of equations to process: 3019
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1179
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1586] leq(multiplication(forward_diamond(A,B),C),C) -> true
% 62.48/62.60  Current number of equations to process: 3053
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1180
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1587] leq(multiplication(forward_diamond(A,B),C),C addition X0) -> true
% 62.48/62.60  Current number of equations to process: 3086
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1181
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1588] one addition multiplication(forward_diamond(A,B),c(C)) -> one
% 62.48/62.60  Rule [797] one addition multiplication(forward_diamond(A,B),c(c(C))) -> one
% 62.48/62.60  collapsed.
% 62.48/62.60  Current number of equations to process: 3118
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1181
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1589]
% 62.48/62.60  one addition multiplication(forward_diamond(A,B),backward_diamond(C,X0)) ->
% 62.48/62.60  one
% 62.48/62.60  Current number of equations to process: 3179
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1182
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1590]
% 62.48/62.60  c(A) addition multiplication(forward_diamond(B,C),antidomain(A)) -> c(A)
% 62.48/62.60  Current number of equations to process: 3250
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1183
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1591]
% 62.48/62.60  forward_diamond(A,B) addition codomain(forward_diamond(A,B)) ->
% 62.48/62.60  codomain(forward_diamond(A,B))
% 62.48/62.60  Current number of equations to process: 3249
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1184
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1592]
% 62.48/62.60  multiplication(antidomain(A),multiplication(forward_diamond(B,C),A)) -> zero
% 62.48/62.60  Current number of equations to process: 3259
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1185
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1593] multiplication(A,backward_box(B,C)) addition A -> A
% 62.48/62.60  Rule
% 62.48/62.60  [850]
% 62.48/62.60  multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)) addition A -> A
% 62.48/62.60  collapsed.
% 62.48/62.60  Current number of equations to process: 3286
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1185
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1594] c(A) addition multiplication(antidomain(A),c(B)) -> c(A)
% 62.48/62.60  Rule [803] c(A) addition multiplication(antidomain(A),c(c(B))) -> c(A)
% 62.48/62.60  collapsed.
% 62.48/62.60  Current number of equations to process: 3327
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1185
% 62.48/62.60  New rule produced : [1595] one addition multiplication(c(A),c(B)) -> one
% 62.48/62.60  Rule [782] one addition multiplication(c(A),c(c(B))) -> one collapsed.
% 62.48/62.60  Rule [783] one addition multiplication(c(c(A)),c(B)) -> one collapsed.
% 62.48/62.60  Current number of equations to process: 3359
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1184
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1596] one addition multiplication(backward_diamond(A,B),c(C)) -> one
% 62.48/62.60  Rule [799] one addition multiplication(backward_diamond(A,B),c(c(C))) -> one
% 62.48/62.60  collapsed.
% 62.48/62.60  Current number of equations to process: 3374
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1184
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1597] multiplication(multiplication(A,codomain(B)),c(C)) addition A -> A
% 62.48/62.60  Rule
% 62.48/62.60  [820] multiplication(multiplication(A,codomain(B)),c(c(C))) addition A -> A
% 62.48/62.60  collapsed.
% 62.48/62.60  Current number of equations to process: 3488
% 62.48/62.60  Current number of ordered equations: 1
% 62.48/62.60  Current number of rules: 1184
% 62.48/62.60  New rule produced :
% 62.48/62.60  [1598] multiplication(multiplication(A,coantidomain(B)),c(C)) addition A -> A
% 62.48/62.60  Rule
% 62.48/62.60  [819]
% 62.48/62.60  multiplication(multiplication(A,coantidomain(B)),c(c(C))) addition A -> A
% 62.48/62.60  collapsed.
% 62.48/62.60  Current number of equations to process: 3488
% 62.48/62.60  Current number of ordered equations: 0
% 62.48/62.60  Current number of rules: 1184
% 62.48/62.60  New rule produced :
% 62.91/63.10  [1599] multiplication(multiplication(codomain(A),B),c(C)) addition B -> B
% 62.91/63.10  Rule
% 62.91/63.10  [823] multiplication(multiplication(codomain(A),B),c(c(C))) addition B -> B
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3486
% 62.91/63.10  Current number of ordered equations: 1
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1600] multiplication(multiplication(coantidomain(A),B),c(C)) addition B -> B
% 62.91/63.10  Rule
% 62.91/63.10  [822]
% 62.91/63.10  multiplication(multiplication(coantidomain(A),B),c(c(C))) addition B -> B
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3486
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1601] multiplication(multiplication(A,antidomain(B)),c(C)) addition A -> A
% 62.91/63.10  Rule
% 62.91/63.10  [818] multiplication(multiplication(A,antidomain(B)),c(c(C))) addition A -> A
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3484
% 62.91/63.10  Current number of ordered equations: 1
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1602] multiplication(multiplication(A,c(B)),antidomain(C)) addition A -> A
% 62.91/63.10  Rule
% 62.91/63.10  [830] multiplication(multiplication(A,c(c(B))),antidomain(C)) addition A -> A
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3484
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1603] multiplication(antidomain(B),multiplication(A,c(C))) addition A -> A
% 62.91/63.10  Rule
% 62.91/63.10  [832] multiplication(antidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3482
% 62.91/63.10  Current number of ordered equations: 1
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1604] multiplication(multiplication(antidomain(A),B),c(C)) addition B -> B
% 62.91/63.10  Rule
% 62.91/63.10  [821] multiplication(multiplication(antidomain(A),B),c(c(C))) addition B -> B
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3482
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1605] multiplication(multiplication(A,c(B)),codomain(C)) addition A -> A
% 62.91/63.10  Rule
% 62.91/63.10  [834] multiplication(multiplication(A,c(c(B))),codomain(C)) addition A -> A
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3480
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1606] multiplication(codomain(B),multiplication(A,c(C))) addition A -> A
% 62.91/63.10  Rule
% 62.91/63.10  [836] multiplication(codomain(A),multiplication(B,c(c(C)))) addition B -> B
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3478
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1607] multiplication(multiplication(A,c(B)),coantidomain(C)) addition A -> A
% 62.91/63.10  Rule
% 62.91/63.10  [838]
% 62.91/63.10  multiplication(multiplication(A,c(c(B))),coantidomain(C)) addition A -> A
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3476
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1608] multiplication(coantidomain(B),multiplication(A,c(C))) addition A -> A
% 62.91/63.10  Rule
% 62.91/63.10  [840]
% 62.91/63.10  multiplication(coantidomain(A),multiplication(B,c(c(C)))) addition B -> B
% 62.91/63.10  collapsed.
% 62.91/63.10  Current number of equations to process: 3474
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1184
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1609] leq(multiplication(multiplication(A,c(B)),antidomain(C)),A) -> true
% 62.91/63.10  Current number of equations to process: 3473
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1185
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1610] leq(multiplication(multiplication(A,c(B)),codomain(C)),A) -> true
% 62.91/63.10  Current number of equations to process: 3472
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1186
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1611] leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A) -> true
% 62.91/63.10  Current number of equations to process: 3471
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1187
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1612] leq(multiplication(antidomain(A),multiplication(B,c(C))),B) -> true
% 62.91/63.10  Current number of equations to process: 3470
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1188
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1613] leq(multiplication(codomain(A),multiplication(B,c(C))),B) -> true
% 62.91/63.10  Current number of equations to process: 3469
% 62.91/63.10  Current number of ordered equations: 0
% 62.91/63.10  Current number of rules: 1189
% 62.91/63.10  New rule produced :
% 62.91/63.10  [1614] leq(multiplication(coantidomain(A),multiplication(B,c(C))),B) -> true
% 63.89/64.09  Current number of equations to process: 3468
% 63.89/64.09  Current number of ordered equations: 0
% 63.89/64.09  Current number of rules: 1190
% 63.89/64.09  New rule produced :
% 63.89/64.09  [1615] forward_diamond(multiplication(c(A),c(B)),A) -> zero
% 63.89/64.09  Current number of equations to process: 3472
% 63.89/64.09  Current number of ordered equations: 0
% 63.89/64.09  Current number of rules: 1191
% 63.89/64.09  New rule produced :
% 63.89/64.09  [1616] multiplication(multiplication(A,c(B)),coantidomain(A)) -> zero
% 63.89/64.09  Current number of equations to process: 3477
% 63.89/64.09  Current number of ordered equations: 0
% 63.89/64.09  Current number of rules: 1192
% 63.89/64.09  New rule produced :
% 63.89/64.09  [1617] multiplication(backward_box(A,B),C) addition C -> C
% 63.89/64.09  Rule
% 63.89/64.09  [851]
% 63.89/64.09  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A) addition A -> A
% 63.89/64.09  collapsed.
% 63.89/64.09  Current number of equations to process: 3509
% 63.89/64.09  Current number of ordered equations: 0
% 63.89/64.09  Current number of rules: 1192
% 63.89/64.09  New rule produced :
% 63.89/64.09  [1618] c(A) addition multiplication(c(B),antidomain(A)) -> c(A)
% 63.89/64.09  Rule [804] c(A) addition multiplication(c(c(B)),antidomain(A)) -> c(A)
% 63.89/64.09  collapsed.
% 63.89/64.09  Current number of equations to process: 3551
% 63.89/64.09  Current number of ordered equations: 0
% 63.89/64.09  Current number of rules: 1192
% 63.89/64.09  New rule produced :
% 63.89/64.09  [1619] one addition multiplication(c(A),backward_diamond(B,C)) -> one
% 63.89/64.09  Rule [800] one addition multiplication(c(c(A)),backward_diamond(B,C)) -> one
% 63.89/64.09  collapsed.
% 63.89/64.09  Current number of equations to process: 3597
% 63.89/64.09  Current number of ordered equations: 0
% 63.89/64.09  Current number of rules: 1192
% 63.89/64.09  Rule [1404]
% 63.89/64.09       c(c(c(B) addition multiplication(A,c(B)))) ->
% 63.89/64.09       forward_diamond(one addition A,antidomain(B)) is composed into [1404]
% 63.89/64.09                                                                      c(
% 63.89/64.09                                                                      c(
% 63.89/64.09                                                                      c(B) addition 
% 63.89/64.09                                                                      multiplication(A,
% 63.89/64.09                                                                      c(B))))
% 63.89/64.09                                                                      ->
% 63.89/64.09                                                                      forward_diamond(
% 63.89/64.09                                                                      one addition A,
% 63.89/64.09                                                                      c(B))
% 63.89/64.09  Rule [1203]
% 63.89/64.09       c(A) addition multiplication(c(c(B)),c(c(A))) <->
% 63.89/64.09       c(c(B)) addition multiplication(antidomain(B),c(A)) is composed into 
% 63.89/64.09  [1203]
% 63.89/64.09  c(A) addition multiplication(c(c(B)),c(c(A))) ->
% 63.89/64.09  c(c(B)) addition multiplication(c(B),c(A))
% 63.89/64.09  Rule [859]
% 63.89/64.09       backward_box(A,multiplication(B,c(C))) <->
% 63.89/64.09       c(backward_diamond(A,antidomain(forward_diamond(B,antidomain(C))))) is composed into 
% 63.89/64.09  [859]
% 63.89/64.09  backward_box(A,multiplication(B,c(C))) <->
% 63.89/64.09  c(backward_diamond(A,c(forward_diamond(B,c(C)))))
% 63.89/64.09  Rule [857]
% 63.89/64.09       c(multiplication(A,backward_box(B,C))) ->
% 63.89/64.09       antidomain(forward_diamond(A,antidomain(backward_diamond(B,c(C))))) is composed into 
% 63.89/64.09  [857]
% 63.89/64.09  c(multiplication(A,backward_box(B,C))) ->
% 63.89/64.09  c(forward_diamond(A,c(backward_diamond(B,c(C)))))
% 63.89/64.09  Rule [855]
% 63.89/64.09       c(multiplication(A,multiplication(B,c(C)))) ->
% 63.89/64.09       antidomain(forward_diamond(multiplication(A,B),antidomain(C))) is composed into 
% 63.89/64.09  [855]
% 63.89/64.09  c(multiplication(A,multiplication(B,c(C)))) ->
% 63.89/64.09  c(forward_diamond(multiplication(A,B),c(C)))
% 63.89/64.09  Rule [194]
% 63.89/64.09       c(multiplication(A,c(B))) ->
% 63.89/64.09       antidomain(forward_diamond(A,antidomain(B))) is composed into [194]
% 63.89/64.09                                                                     c(
% 63.89/64.09                                                                     multiplication(A,
% 63.89/64.09                                                                     c(B))) ->
% 63.89/64.09                                                                     c(
% 63.89/64.09                                                                     forward_diamond(A,
% 63.89/64.09                                                                     c(B)))
% 63.89/64.09  Rule [192]
% 63.89/64.09       c(multiplication(A,forward_diamond(B,C))) ->
% 63.89/64.09       antidomain(forward_diamond(A,multiplication(B,c(c(C))))) is composed into 
% 63.89/64.09  [192]
% 63.89/64.09  c(multiplication(A,forward_diamond(B,C))) ->
% 63.89/64.09  c(forward_diamond(A,multiplication(B,c(c(C)))))
% 63.89/64.09  Rule [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),antidomain(X1)) is composed into 
% 64.10/64.22  [20] domain_difference(X0,X1) -> multiplication(c(c(X0)),c(X1))
% 64.10/64.22  New rule produced : [1620] antidomain(A) -> c(A)
% 64.10/64.22  Rule [8] antidomain(antidomain(X0)) -> c(c(X0)) collapsed.
% 64.10/64.22  Rule [11] multiplication(antidomain(X0),X0) -> zero collapsed.
% 64.10/64.22  Rule [31] antidomain(one) -> zero collapsed.
% 64.10/64.22  Rule [36] antidomain(c(A)) -> c(c(A)) collapsed.
% 64.10/64.22  Rule [40] one addition antidomain(A) -> one collapsed.
% 64.10/64.22  Rule [53] multiplication(multiplication(A,antidomain(B)),B) -> zero
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule [55] multiplication(antidomain(A),multiplication(A,B)) -> zero
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule [111] c(A) addition antidomain(A) -> c(A) collapsed.
% 64.10/64.22  Rule [121] antidomain(zero) -> one collapsed.
% 64.10/64.22  Rule [123] c(antidomain(A)) -> c(c(A)) collapsed.
% 64.10/64.22  Rule [141] multiplication(A,antidomain(B)) addition A -> A collapsed.
% 64.10/64.22  Rule [142] multiplication(antidomain(B),A) addition A -> A collapsed.
% 64.10/64.22  Rule [143] leq(antidomain(A),one) -> true collapsed.
% 64.10/64.22  Rule [144] leq(antidomain(A),one addition B) -> true collapsed.
% 64.10/64.22  Rule [157] ifeq2(one,antidomain(A),leq(one,antidomain(A)),true) -> true
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [178] forward_diamond(A,B) addition antidomain(forward_diamond(A,B)) -> one
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [183] ifeq(leq(one,antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [190]
% 64.10/64.22  c(backward_diamond(A,antidomain(forward_diamond(B,C)))) <->
% 64.10/64.22  backward_box(A,multiplication(B,c(c(C)))) collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [203]
% 64.10/64.22  multiplication(multiplication(A,antidomain(B)),multiplication(B,C)) -> zero
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [222]
% 64.10/64.22  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(B,C)))
% 64.10/64.22  -> zero collapsed.
% 64.10/64.22  Rule [231] leq(antidomain(A) addition B,one addition B) -> true collapsed.
% 64.10/64.22  Rule [238] leq(antidomain(A) addition B,one addition B addition C) -> true
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [250]
% 64.10/64.22  forward_diamond(A,antidomain(B)) addition antidomain(multiplication(A,c(B)))
% 64.10/64.22  -> one collapsed.
% 64.10/64.22  Rule [263] multiplication(c(A),antidomain(A)) -> c(A) collapsed.
% 64.10/64.22  Rule [265] leq(multiplication(A,antidomain(B)),A) -> true collapsed.
% 64.10/64.22  Rule [267] leq(multiplication(A,antidomain(B)),A addition C) -> true
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [269]
% 64.10/64.22  multiplication(antidomain(codomain(A)),coantidomain(A)) ->
% 64.10/64.22  antidomain(codomain(A)) collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [270]
% 64.10/64.22  multiplication(antidomain(coantidomain(A)),codomain(A)) ->
% 64.10/64.22  antidomain(coantidomain(A)) collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [272] leq(multiplication(A,antidomain(B)) addition C,A addition C) -> true
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [282]
% 64.10/64.22  multiplication(multiplication(A,antidomain(codomain(B))),coantidomain(B)) ->
% 64.10/64.22  multiplication(A,antidomain(codomain(B))) collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [283]
% 64.10/64.22  multiplication(multiplication(A,antidomain(coantidomain(B))),codomain(B)) ->
% 64.10/64.22  multiplication(A,antidomain(coantidomain(B))) collapsed.
% 64.10/64.22  Rule [287] multiplication(antidomain(A),antidomain(A)) -> antidomain(A)
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule [289] leq(multiplication(antidomain(A),B),B) -> true collapsed.
% 64.10/64.22  Rule [291] leq(multiplication(antidomain(A),B),B addition C) -> true
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [296] leq(multiplication(antidomain(A),B) addition C,B addition C) -> true
% 64.10/64.22  collapsed.
% 64.10/64.22  Rule
% 64.10/64.22  [328]
% 64.10/64.22  codomain(B) addition multiplication(antidomain(A),coantidomain(B)) ->
% 64.10/64.23  codomain(B) addition antidomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [331]
% 64.10/64.23  codomain(A) addition multiplication(coantidomain(A),antidomain(B)) ->
% 64.10/64.23  codomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [346]
% 64.10/64.23  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(C,X0))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [348]
% 64.10/64.23  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(B,C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [349]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(B,C),X0))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [353]
% 64.10/64.23  ifeq2(one addition A,one,leq(antidomain(B) addition A,one),true) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [354] ifeq(leq(antidomain(A) addition B,one),true,one addition B,one) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [367]
% 64.10/64.23  leq(multiplication(A,antidomain(B)) addition C,A addition C addition X0) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [371]
% 64.10/64.23  leq(multiplication(antidomain(A),B) addition C,B addition C addition X0) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [376]
% 64.10/64.23  multiplication(antidomain(multiplication(A,B)),multiplication(A,multiplication(
% 64.10/64.23                                                                  multiplication(B,C),X0)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [377]
% 64.10/64.23  multiplication(multiplication(multiplication(A,antidomain(multiplication(B,C))),B),
% 64.10/64.23  multiplication(C,X0)) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [379]
% 64.10/64.23  multiplication(multiplication(antidomain(multiplication(A,B)),A),multiplication(
% 64.10/64.23                                                                   multiplication(B,C),X0))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [380]
% 64.10/64.23  multiplication(antidomain(multiplication(multiplication(A,B),C)),multiplication(A,
% 64.10/64.23                                                                   multiplication(B,C)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [382]
% 64.10/64.23  multiplication(multiplication(A,antidomain(multiplication(B,C))),multiplication(B,
% 64.10/64.23                                                                   multiplication(C,X0)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [403]
% 64.10/64.23  antidomain(forward_diamond(A addition C,B)) <->
% 64.10/64.23  c(multiplication(A,c(c(B))) addition multiplication(C,c(c(B)))) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [405]
% 64.10/64.23  backward_box(A,backward_diamond(B,antidomain(forward_diamond(C,X0)))) <->
% 64.10/64.23  c(backward_diamond(A,backward_box(B,multiplication(C,c(c(X0)))))) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [410]
% 64.10/64.23  forward_diamond(A addition C,antidomain(B)) <->
% 64.10/64.23  c(c(multiplication(A,c(B)) addition multiplication(C,c(B)))) collapsed.
% 64.10/64.23  Rule [411] multiplication(antidomain(A addition B),A) -> zero collapsed.
% 64.10/64.23  Rule [425] leq(antidomain(A),c(A)) -> true collapsed.
% 64.10/64.23  Rule [426] leq(antidomain(A),c(A) addition B) -> true collapsed.
% 64.10/64.23  Rule [428] leq(antidomain(A) addition B,c(A) addition B) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [429]
% 64.10/64.23  backward_box(A,B) addition antidomain(backward_diamond(A,c(B))) ->
% 64.10/64.23  backward_box(A,B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [430]
% 64.10/64.23  multiplication(A,c(B)) addition multiplication(A,antidomain(B)) ->
% 64.10/64.23  multiplication(A,c(B)) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [431]
% 64.10/64.23  multiplication(c(A),B) addition multiplication(antidomain(A),B) ->
% 64.10/64.23  multiplication(c(A),B) collapsed.
% 64.10/64.23  Rule [432] ifeq2(c(A),antidomain(A),leq(c(A),antidomain(A)),true) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [433] leq(antidomain(A) addition B,c(A) addition B addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [434] ifeq(leq(c(A),antidomain(A)),true,c(A),antidomain(A)) -> antidomain(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [438]
% 64.10/64.23  leq(antidomain(multiplication(A,antidomain(B))),antidomain(multiplication(A,
% 64.10/64.23                                                             c(B)))) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [439]
% 64.10/64.23  forward_diamond(multiplication(A,B),C) addition antidomain(multiplication(A,
% 64.10/64.23                                                             forward_diamond(B,C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [494]
% 64.10/64.23  multiplication(forward_diamond(A,antidomain(B)),antidomain(multiplication(A,
% 64.10/64.23                                                             c(B)))) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [535] one addition multiplication(antidomain(A),antidomain(B)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [536] one addition multiplication(codomain(A),antidomain(B)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [537] one addition multiplication(coantidomain(A),antidomain(B)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [539] one addition multiplication(c(A),antidomain(B)) -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [540] one addition multiplication(forward_diamond(A,B),antidomain(C)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [542]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),antidomain(C)) addition A -> A
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [543]
% 64.10/64.23  multiplication(multiplication(A,codomain(B)),antidomain(C)) addition A -> A
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [544]
% 64.10/64.23  multiplication(multiplication(A,coantidomain(B)),antidomain(C)) addition A ->
% 64.10/64.23  A collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [546]
% 64.10/64.23  multiplication(multiplication(antidomain(A),B),antidomain(C)) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [547]
% 64.10/64.23  multiplication(multiplication(codomain(A),B),antidomain(C)) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [548]
% 64.10/64.23  multiplication(multiplication(coantidomain(A),B),antidomain(C)) addition B ->
% 64.10/64.23  B collapsed.
% 64.10/64.23  Rule [549] c(A) addition multiplication(antidomain(A),antidomain(B)) -> c(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [550] one addition multiplication(antidomain(A),codomain(B)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [551] one addition multiplication(antidomain(A),coantidomain(B)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [553] one addition multiplication(antidomain(A),c(B)) -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [554] one addition multiplication(antidomain(A),forward_diamond(B,C)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [556]
% 64.10/64.23  multiplication(antidomain(A),multiplication(B,antidomain(C))) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [557]
% 64.10/64.23  multiplication(antidomain(A),multiplication(B,codomain(C))) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [558]
% 64.10/64.23  multiplication(antidomain(A),multiplication(B,coantidomain(C))) addition B ->
% 64.10/64.23  B collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [560]
% 64.10/64.23  multiplication(antidomain(A),multiplication(antidomain(B),C)) addition C -> C
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [561]
% 64.10/64.23  multiplication(antidomain(A),multiplication(codomain(B),C)) addition C -> C
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [562]
% 64.10/64.23  multiplication(antidomain(A),multiplication(coantidomain(B),C)) addition C ->
% 64.10/64.23  C collapsed.
% 64.10/64.23  Rule [563] c(A) addition multiplication(antidomain(B),antidomain(A)) -> c(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [570] one addition multiplication(backward_diamond(A,B),antidomain(C)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [571] one addition multiplication(antidomain(A),backward_diamond(B,C)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [576]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),codomain(C)) addition A -> A
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [580]
% 64.10/64.23  multiplication(multiplication(antidomain(A),B),codomain(C)) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [583] c(A) addition multiplication(antidomain(A),codomain(B)) -> c(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [590]
% 64.10/64.23  multiplication(codomain(A),multiplication(B,antidomain(C))) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [594]
% 64.10/64.23  multiplication(codomain(A),multiplication(antidomain(B),C)) addition C -> C
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [597] c(A) addition multiplication(codomain(B),antidomain(A)) -> c(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [604]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),coantidomain(C)) addition A ->
% 64.10/64.23  A collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [608]
% 64.10/64.23  multiplication(multiplication(antidomain(A),B),coantidomain(C)) addition B ->
% 64.10/64.23  B collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [611] c(A) addition multiplication(antidomain(A),coantidomain(B)) -> c(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [617]
% 64.10/64.23  multiplication(coantidomain(A),multiplication(B,antidomain(C))) addition B ->
% 64.10/64.23  B collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [621]
% 64.10/64.23  multiplication(coantidomain(A),multiplication(antidomain(B),C)) addition C ->
% 64.10/64.23  C collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [624] c(A) addition multiplication(coantidomain(B),antidomain(A)) -> c(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [634]
% 64.10/64.23  coantidomain(A) addition multiplication(codomain(A),antidomain(B)) ->
% 64.10/64.23  coantidomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [636]
% 64.10/64.23  coantidomain(A) addition multiplication(antidomain(B),codomain(A)) ->
% 64.10/64.23  coantidomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [664]
% 64.10/64.23  multiplication(A,multiplication(B,antidomain(C))) addition multiplication(A,B)
% 64.10/64.23  -> multiplication(A,B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [665]
% 64.10/64.23  multiplication(multiplication(A,antidomain(C)),B) addition multiplication(A,B)
% 64.10/64.23  -> multiplication(A,B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [668]
% 64.10/64.23  multiplication(multiplication(antidomain(A),B),C) addition multiplication(B,C)
% 64.10/64.23  -> multiplication(B,C) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [669]
% 64.10/64.23  multiplication(A,multiplication(antidomain(C),B)) addition multiplication(A,B)
% 64.10/64.23  -> multiplication(A,B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [694]
% 64.10/64.23  multiplication(antidomain(A),multiplication(antidomain(A),B)) ->
% 64.10/64.23  multiplication(antidomain(A),B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [703]
% 64.10/64.23  multiplication(multiplication(A,c(B)),antidomain(B)) ->
% 64.10/64.23  multiplication(A,c(B)) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [718]
% 64.10/64.23  multiplication(backward_box(A,B),antidomain(backward_diamond(A,c(B)))) ->
% 64.10/64.23  backward_box(A,B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [731] one addition multiplication(backward_box(A,B),antidomain(C)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [732] one addition multiplication(antidomain(A),backward_box(B,C)) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [751] c(c(X0)) addition antidomain(X0) -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [754]
% 64.10/64.23  antidomain(multiplication(X0,c(c(X1)))) addition antidomain(multiplication(X0,X1))
% 64.10/64.23  -> antidomain(multiplication(X0,c(c(X1)))) collapsed.
% 64.10/64.23  Rule [757] forward_diamond(c(c(A)),antidomain(A)) -> zero collapsed.
% 64.10/64.23  Rule [758] multiplication(c(c(A)),antidomain(A)) -> zero collapsed.
% 64.10/64.23  Rule [762] antidomain(backward_box(A,B)) -> c(backward_box(A,B)) collapsed.
% 64.10/64.23  Rule [763] backward_box(A,antidomain(B)) -> backward_box(A,c(B)) collapsed.
% 64.10/64.23  Rule [764] antidomain(multiplication(A,c(c(coantidomain(A))))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [765] antidomain(multiplication(antidomain(A),c(c(A)))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [766] coantidomain(backward_diamond(antidomain(A),c(c(A)))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [774] multiplication(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [775] multiplication(c(c(A)),multiplication(antidomain(A),B)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [779]
% 64.10/64.23  multiplication(c(c(A)),coantidomain(antidomain(A))) ->
% 64.10/64.23  coantidomain(antidomain(A)) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [781] antidomain(multiplication(codomain(A),c(c(coantidomain(A))))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [784]
% 64.10/64.23  multiplication(antidomain(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [789]
% 64.10/64.23  antidomain(multiplication(multiplication(A,B),c(c(coantidomain(B))))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [790]
% 64.10/64.23  antidomain(multiplication(multiplication(A,antidomain(B)),c(c(B)))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [791]
% 64.10/64.23  antidomain(multiplication(A,c(c(multiplication(coantidomain(A),B))))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [792]
% 64.10/64.23  antidomain(multiplication(antidomain(A),c(c(multiplication(A,B))))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [806]
% 64.10/64.23  forward_diamond(A,B) addition antidomain(multiplication(A,c(c(B)))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [807] multiplication(A,c(c(B))) addition multiplication(A,antidomain(B)) -> A
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [808] multiplication(c(c(B)),A) addition multiplication(antidomain(B),A) -> A
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [809]
% 64.10/64.23  multiplication(forward_diamond(A,B),antidomain(multiplication(A,c(c(B))))) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [813]
% 64.10/64.23  forward_diamond(antidomain(forward_diamond(A,B)),multiplication(A,c(c(B))))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [814]
% 64.10/64.23  forward_diamond(multiplication(antidomain(multiplication(A,c(c(B)))),A),B) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [815]
% 64.10/64.23  multiplication(multiplication(A,c(c(B))),multiplication(antidomain(B),C)) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [824] multiplication(c(c(A)),multiplication(B,antidomain(C))) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [827] multiplication(c(c(A)),multiplication(antidomain(B),C)) addition C -> C
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [831] multiplication(multiplication(c(c(A)),B),antidomain(C)) addition B -> B
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [833] multiplication(antidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [842]
% 64.10/64.23  antidomain(multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [843]
% 64.10/64.23  antidomain(multiplication(coantidomain(A),c(c(multiplication(codomain(A),B)))))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [849]
% 64.10/64.23  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),antidomain(sK2_goals_X1))
% 64.10/64.23  -> antidomain(sK2_goals_X1) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [856]
% 64.10/64.23  forward_diamond(antidomain(forward_diamond(A,antidomain(B))),multiplication(A,
% 64.10/64.23                                                               c(B))) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [858]
% 64.10/64.23  c(backward_diamond(A,antidomain(forward_diamond(B,antidomain(C))))) <->
% 64.10/64.23  backward_box(A,multiplication(B,c(C))) collapsed.
% 64.10/64.23  Rule [861] ifeq2(one,antidomain(A),leq(c(c(A)),antidomain(A)),true) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [862]
% 64.10/64.23  leq(antidomain(multiplication(A,B)),antidomain(multiplication(A,c(c(B))))) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule [863] leq(antidomain(A) addition antidomain(B),one) -> true collapsed.
% 64.10/64.23  Rule [864] leq(codomain(A) addition antidomain(B),one) -> true collapsed.
% 64.10/64.23  Rule [865] leq(coantidomain(A) addition antidomain(B),one) -> true collapsed.
% 64.10/64.23  Rule [866] leq(c(A) addition antidomain(B),one) -> true collapsed.
% 64.10/64.23  Rule [867] leq(forward_diamond(A,B) addition antidomain(C),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [868] leq(backward_diamond(A,B) addition antidomain(C),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [881] leq(coantidomain(A) addition antidomain(B),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [882] leq(codomain(A) addition antidomain(B),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [883] leq(antidomain(A) addition antidomain(B),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [884] leq(c(A) addition antidomain(B),one addition C) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [887]
% 64.10/64.23  leq(forward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [888]
% 64.10/64.23  leq(backward_diamond(A,B) addition antidomain(C),one addition X0) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [902]
% 64.10/64.23  multiplication(c(c(A)),multiplication(coantidomain(antidomain(A)),B)) ->
% 64.10/64.23  multiplication(coantidomain(antidomain(A)),B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [904]
% 64.10/64.23  antidomain(B) addition multiplication(antidomain(A),c(c(B))) ->
% 64.10/64.23  antidomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [905]
% 64.10/64.23  antidomain(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 64.10/64.23  coantidomain(B) addition antidomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [906]
% 64.10/64.23  antidomain(B) addition multiplication(coantidomain(A),c(c(B))) ->
% 64.10/64.23  coantidomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [913]
% 64.10/64.23  antidomain(A) addition multiplication(c(c(A)),antidomain(B)) ->
% 64.10/64.23  antidomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [914]
% 64.10/64.23  antidomain(B) addition multiplication(codomain(A),c(c(B))) ->
% 64.10/64.23  codomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [915]
% 64.10/64.23  antidomain(B) addition multiplication(c(c(B)),codomain(A)) ->
% 64.10/64.23  codomain(A) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [917]
% 64.10/64.23  antidomain(multiplication(c(c(A)),c(c(multiplication(antidomain(A),B))))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [918] antidomain(multiplication(c(A),c(c(multiplication(c(c(A)),B))))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [919]
% 64.10/64.23  leq(antidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [920]
% 64.10/64.23  leq(codomain(A) addition antidomain(B) addition C,one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [921]
% 64.10/64.23  leq(coantidomain(A) addition antidomain(B) addition C,one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [922] leq(c(A) addition antidomain(B) addition C,one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [929]
% 64.10/64.23  leq(antidomain(A) addition multiplication(B,codomain(C)),one addition B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [930]
% 64.10/64.23  leq(antidomain(A) addition multiplication(B,coantidomain(C)),one addition B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [931]
% 64.10/64.23  leq(antidomain(A) addition multiplication(codomain(B),C),one addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [932]
% 64.10/64.23  leq(antidomain(A) addition multiplication(coantidomain(B),C),one addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [933]
% 64.10/64.23  leq(antidomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [934]
% 64.10/64.23  leq(antidomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [939]
% 64.10/64.23  leq(codomain(A) addition multiplication(B,antidomain(C)),one addition B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [940]
% 64.10/64.23  leq(codomain(A) addition multiplication(antidomain(B),C),one addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [945]
% 64.10/64.23  leq(coantidomain(A) addition multiplication(B,antidomain(C)),one addition B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [946]
% 64.10/64.23  leq(coantidomain(A) addition multiplication(antidomain(B),C),one addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [951]
% 64.10/64.23  leq(c(A) addition multiplication(B,antidomain(C)),one addition B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [952]
% 64.10/64.23  leq(c(A) addition multiplication(antidomain(B),C),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [953]
% 64.10/64.23  ifeq(leq(c(c(A)),antidomain(A)),true,one,antidomain(A)) -> antidomain(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [958] forward_diamond(multiplication(A,c(c(B))),antidomain(B)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [960] multiplication(c(A),coantidomain(antidomain(A))) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [961]
% 64.10/64.23  multiplication(c(A),multiplication(antidomain(A),B)) ->
% 64.10/64.23  multiplication(c(A),B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [963]
% 64.10/64.23  multiplication(c(A),multiplication(coantidomain(antidomain(A)),B)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [964] leq(multiplication(codomain(A),antidomain(B)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [965] leq(multiplication(coantidomain(A),antidomain(B)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [966] leq(multiplication(antidomain(A),antidomain(B)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [967] leq(multiplication(codomain(A),antidomain(B)),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [968]
% 64.10/64.23  leq(multiplication(coantidomain(A),antidomain(B)),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [969] leq(multiplication(antidomain(A),antidomain(B)),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [970]
% 64.10/64.23  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [971]
% 64.10/64.23  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [972]
% 64.10/64.23  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [973]
% 64.10/64.23  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule [974] leq(multiplication(c(A),antidomain(B)),one) -> true collapsed.
% 64.10/64.23  Rule [975] leq(multiplication(antidomain(A),antidomain(B)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [976] leq(multiplication(forward_diamond(A,B),antidomain(C)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [977] leq(multiplication(backward_diamond(A,B),antidomain(C)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [978] leq(multiplication(c(A),antidomain(B)),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [979]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [980]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [986]
% 64.10/64.23  codomain(antidomain(A)) addition antidomain(A) -> codomain(antidomain(A))
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [989] coantidomain(A) addition antidomain(codomain(A)) -> coantidomain(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [990] codomain(A) addition antidomain(coantidomain(A)) -> codomain(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [993]
% 64.10/64.23  multiplication(multiplication(c(A),B),coantidomain(multiplication(antidomain(A),B)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [994]
% 64.10/64.23  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B)) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [995]
% 64.10/64.23  leq(multiplication(antidomain(A),antidomain(B)),c(A) addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [996]
% 64.10/64.23  leq(multiplication(forward_diamond(A,B),antidomain(C)),one addition X0) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [997]
% 64.10/64.23  leq(multiplication(backward_diamond(A,B),antidomain(C)),one addition X0) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [999]
% 64.10/64.23  multiplication(antidomain(codomain(A)),multiplication(coantidomain(A),B)) ->
% 64.10/64.23  multiplication(antidomain(codomain(A)),B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1000]
% 64.10/64.23  multiplication(antidomain(coantidomain(A)),multiplication(codomain(A),B)) ->
% 64.10/64.23  multiplication(antidomain(coantidomain(A)),B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1001]
% 64.10/64.23  multiplication(multiplication(antidomain(coantidomain(A)),B),coantidomain(
% 64.10/64.23                                                               backward_diamond(B,A)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1003]
% 64.10/64.23  multiplication(antidomain(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 64.10/64.23  -> antidomain(backward_diamond(A,B)) collapsed.
% 64.10/64.23  Rule [1005] multiplication(c(A),codomain(antidomain(A))) -> c(A) collapsed.
% 64.10/64.23  Rule [1009] leq(multiplication(antidomain(A),codomain(B)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1013] leq(multiplication(antidomain(A),codomain(B)),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1019] leq(multiplication(antidomain(A),codomain(B)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1023]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1024]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1027] leq(multiplication(antidomain(A),coantidomain(B)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1030]
% 64.10/64.23  leq(multiplication(antidomain(A),coantidomain(B)),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1036] leq(multiplication(antidomain(A),coantidomain(B)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1040]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1041]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1045] leq(multiplication(antidomain(A),codomain(B)),c(A) addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1048]
% 64.10/64.23  leq(multiplication(antidomain(A),coantidomain(B)),c(A) addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1053]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),antidomain(B)) ->
% 64.10/64.23  multiplication(A,antidomain(B)) collapsed.
% 64.10/64.23  Rule [1054] leq(antidomain(A),codomain(antidomain(A))) -> true collapsed.
% 64.10/64.23  Rule [1055] leq(antidomain(codomain(A)),coantidomain(A)) -> true collapsed.
% 64.10/64.23  Rule [1056] leq(antidomain(coantidomain(A)),codomain(A)) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1057]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1058]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1059]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1060]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule [1061] leq(multiplication(antidomain(A),c(B)),one) -> true collapsed.
% 64.10/64.23  Rule [1062] leq(multiplication(antidomain(A),antidomain(B)),c(B)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1063] leq(multiplication(antidomain(A),forward_diamond(B,C)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1064] leq(multiplication(antidomain(A),backward_diamond(B,C)),one) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1065] leq(multiplication(antidomain(A),c(B)),one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1066]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1067]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1068] leq(antidomain(A),codomain(antidomain(A)) addition B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1069] leq(antidomain(codomain(A)),coantidomain(A) addition B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1070] leq(antidomain(coantidomain(A)),codomain(A) addition B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1071]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C)) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1072]
% 64.10/64.23  leq(multiplication(antidomain(A),antidomain(B)),c(B) addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1073]
% 64.10/64.23  leq(multiplication(antidomain(A),forward_diamond(B,C)),one addition X0) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1074]
% 64.10/64.23  leq(multiplication(antidomain(A),backward_diamond(B,C)),one addition X0) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule [1086] leq(multiplication(codomain(A),antidomain(B)),c(B)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1090]
% 64.10/64.23  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1091]
% 64.10/64.23  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1097] leq(multiplication(coantidomain(A),antidomain(B)),c(B)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1101]
% 64.10/64.23  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1102]
% 64.10/64.23  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1103]
% 64.10/64.23  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1104]
% 64.10/64.23  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1105]
% 64.10/64.23  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1108] leq(multiplication(codomain(A),antidomain(B)),c(B) addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1111]
% 64.10/64.23  leq(multiplication(coantidomain(A),antidomain(B)),c(B) addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1117]
% 64.10/64.23  leq(multiplication(multiplication(A,codomain(B)),antidomain(C)),A addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1118]
% 64.10/64.23  leq(multiplication(multiplication(A,coantidomain(B)),antidomain(C)),A addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1119]
% 64.10/64.23  leq(multiplication(multiplication(codomain(A),B),antidomain(C)),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1120]
% 64.10/64.23  leq(multiplication(multiplication(coantidomain(A),B),antidomain(C)),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1121]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),A addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1122]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1125]
% 64.10/64.23  multiplication(antidomain(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 64.10/64.23  -> antidomain(coantidomain(backward_diamond(A,B))) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1126]
% 64.10/64.23  leq(antidomain(A) addition multiplication(c(A),antidomain(B)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1127]
% 64.10/64.23  leq(multiplication(A,antidomain(B)) addition multiplication(A,antidomain(C)),A)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1128]
% 64.10/64.23  leq(multiplication(antidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1129]
% 64.10/64.23  leq(multiplication(A,codomain(B)) addition multiplication(A,antidomain(C)),A)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1130]
% 64.10/64.23  leq(multiplication(codomain(A),B) addition multiplication(B,antidomain(C)),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1131]
% 64.10/64.23  leq(multiplication(A,coantidomain(B)) addition multiplication(A,antidomain(C)),A)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1132]
% 64.10/64.23  leq(multiplication(coantidomain(A),B) addition multiplication(B,antidomain(C)),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1137]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),A addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1138]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1143]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),A addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1144]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1146]
% 64.10/64.23  leq(antidomain(A) addition multiplication(c(A),codomain(B)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1147]
% 64.10/64.23  leq(multiplication(antidomain(A),B) addition multiplication(B,codomain(C)),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1152]
% 64.10/64.23  leq(antidomain(A) addition multiplication(c(A),coantidomain(B)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1153]
% 64.10/64.23  leq(multiplication(antidomain(A),B) addition multiplication(B,coantidomain(C)),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1157]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(B,codomain(C))),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1158]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(B,coantidomain(C))),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1159]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(codomain(B),C)),C addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1160]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(coantidomain(B),C)),C addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1161]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1162]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1163]
% 64.10/64.23  leq(antidomain(A) addition multiplication(antidomain(B),c(A)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1164]
% 64.10/64.23  leq(multiplication(antidomain(A),B) addition multiplication(antidomain(C),B),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1165]
% 64.10/64.23  leq(multiplication(codomain(A),B) addition multiplication(antidomain(C),B),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1166]
% 64.10/64.23  leq(multiplication(coantidomain(A),B) addition multiplication(antidomain(C),B),B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1171]
% 64.10/64.23  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1172]
% 64.10/64.23  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),C addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1177]
% 64.10/64.23  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),B addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1178]
% 64.10/64.23  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),C addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1180]
% 64.10/64.23  leq(antidomain(A) addition multiplication(codomain(B),c(A)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1183]
% 64.10/64.23  leq(antidomain(A) addition multiplication(coantidomain(B),c(A)),c(A)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1186]
% 64.10/64.23  multiplication(antidomain(A),multiplication(coantidomain(c(c(A))),B)) ->
% 64.10/64.23  multiplication(coantidomain(c(c(A))),B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1187]
% 64.10/64.23  c(c(B)) addition multiplication(antidomain(A),antidomain(B)) ->
% 64.10/64.23  c(c(B)) addition antidomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1188]
% 64.10/64.23  c(c(A)) addition multiplication(antidomain(A),antidomain(B)) ->
% 64.10/64.23  c(c(A)) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1189]
% 64.10/64.23  c(c(A)) addition multiplication(antidomain(A),codomain(B)) ->
% 64.10/64.23  c(c(A)) addition codomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1190]
% 64.10/64.23  c(c(A)) addition multiplication(antidomain(A),coantidomain(B)) ->
% 64.10/64.23  c(c(A)) addition coantidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1191]
% 64.10/64.23  c(c(B)) addition multiplication(codomain(A),antidomain(B)) ->
% 64.10/64.23  c(c(B)) addition codomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1192]
% 64.10/64.23  c(c(B)) addition multiplication(coantidomain(A),antidomain(B)) ->
% 64.10/64.23  c(c(B)) addition coantidomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1194]
% 64.10/64.23  c(c(multiplication(A,antidomain(forward_diamond(B,C))))) ->
% 64.10/64.23  forward_diamond(A,antidomain(multiplication(B,c(c(C))))) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1200]
% 64.10/64.23  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 64.10/64.23                                                         antidomain(sK2_goals_X1),A))
% 64.10/64.23  -> multiplication(antidomain(sK2_goals_X1),A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1204]
% 64.10/64.23  c(A) addition multiplication(antidomain(B),c(c(A))) ->
% 64.10/64.23  antidomain(B) addition multiplication(c(c(B)),c(A)) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1205]
% 64.10/64.23  c(c(B)) addition multiplication(antidomain(B),c(A)) <->
% 64.10/64.23  c(A) addition multiplication(c(c(B)),c(c(A))) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1206]
% 64.10/64.23  c(c(A)) addition multiplication(antidomain(B),c(A)) ->
% 64.10/64.23  c(c(A)) addition antidomain(B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1212]
% 64.10/64.23  c(multiplication(A,antidomain(forward_diamond(B,antidomain(C))))) ->
% 64.10/64.23  antidomain(forward_diamond(A,antidomain(multiplication(B,c(C))))) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1213]
% 64.10/64.23  multiplication(multiplication(A,c(B)),multiplication(antidomain(B),C)) ->
% 64.10/64.23  multiplication(A,multiplication(c(B),C)) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1215]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),multiplication(antidomain(B),C))
% 64.10/64.23  -> multiplication(A,multiplication(antidomain(B),C)) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1218]
% 64.10/64.23  multiplication(multiplication(A,c(B)),multiplication(coantidomain(antidomain(B)),C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule [1222] ifeq2(one,c(c(A)),leq(antidomain(A),c(c(A))),true) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1223]
% 64.10/64.23  c(c(multiplication(A,B))) addition antidomain(multiplication(A,c(c(B)))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1226]
% 64.10/64.23  forward_diamond(multiplication(A,antidomain(forward_diamond(B,C))),multiplication(B,
% 64.10/64.23                                                                     c(
% 64.10/64.23                                                                     c(C)))) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1227]
% 64.10/64.23  leq(multiplication(coantidomain(A),antidomain(B)) addition C,one addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1228]
% 64.10/64.23  leq(multiplication(codomain(A),antidomain(B)) addition C,one addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1229]
% 64.10/64.23  leq(multiplication(antidomain(A),antidomain(B)) addition C,one addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1230]
% 64.10/64.23  leq(multiplication(c(A),antidomain(B)) addition C,one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1231]
% 64.10/64.23  forward_diamond(multiplication(multiplication(A,antidomain(multiplication(B,
% 64.10/64.23                                                             c(c(C))))),B),C)
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1234]
% 64.10/64.23  leq(multiplication(antidomain(A),codomain(B)) addition C,one addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1238]
% 64.10/64.23  leq(multiplication(antidomain(A),coantidomain(B)) addition C,one addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1240]
% 64.10/64.23  leq(multiplication(antidomain(A),c(B)) addition C,one addition C) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1249]
% 64.10/64.23  c(c(multiplication(A,antidomain(B)))) addition antidomain(multiplication(A,
% 64.10/64.23                                                            c(B))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1250]
% 64.10/64.23  forward_diamond(A,c(B)) addition antidomain(multiplication(A,c(B))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1259]
% 64.10/64.23  multiplication(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),
% 64.10/64.23  antidomain(B)) addition A -> A collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1260]
% 64.10/64.23  c(c(sK2_goals_X1)) addition multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),
% 64.10/64.23                              antidomain(A)) ->
% 64.10/64.23  c(c(sK2_goals_X1)) addition antidomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1261]
% 64.10/64.23  multiplication(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),
% 64.10/64.23  antidomain(B)) addition A -> A collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1262]
% 64.10/64.23  c(c(sK2_goals_X1)) addition multiplication(antidomain(A),backward_box(sK3_goals_X0,sK1_goals_X2))
% 64.10/64.23  -> c(c(sK2_goals_X1)) addition antidomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1263]
% 64.10/64.23  multiplication(antidomain(A),multiplication(B,backward_box(sK3_goals_X0,sK1_goals_X2))) addition B
% 64.10/64.23  -> B collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1264]
% 64.10/64.23  multiplication(antidomain(A),multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),B)) addition B
% 64.10/64.23  -> B collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1277]
% 64.10/64.23  multiplication(multiplication(A,forward_diamond(B,C)),antidomain(multiplication(B,
% 64.10/64.23                                                                   c(c(C)))))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1278]
% 64.10/64.23  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 64.10/64.23                                                             antidomain(C),X0))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1279]
% 64.10/64.23  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 64.10/64.23                                                          antidomain(B),C),X0))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1280]
% 64.10/64.23  multiplication(multiplication(A,forward_diamond(B,antidomain(C))),antidomain(
% 64.10/64.23                                                                    multiplication(B,
% 64.10/64.23                                                                    c(C)))) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1281]
% 64.10/64.23  multiplication(forward_diamond(A,B),multiplication(antidomain(multiplication(A,
% 64.10/64.23                                                                c(c(B)))),C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1282]
% 64.10/64.23  multiplication(forward_diamond(A,antidomain(B)),multiplication(antidomain(
% 64.10/64.23                                                                 multiplication(A,
% 64.10/64.23                                                                 c(B))),C)) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1283]
% 64.10/64.23  multiplication(forward_diamond(A,c(B)),antidomain(multiplication(A,c(B)))) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1289]
% 64.10/64.23  multiplication(A,forward_diamond(B,C)) addition multiplication(A,antidomain(
% 64.10/64.23                                                                   forward_diamond(B,C)))
% 64.10/64.23  -> A collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1290]
% 64.10/64.23  multiplication(forward_diamond(B,C),A) addition multiplication(antidomain(
% 64.10/64.23                                                                 forward_diamond(B,C)),A)
% 64.10/64.23  -> A collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1298]
% 64.10/64.23  multiplication(multiplication(A,multiplication(B,antidomain(C))),multiplication(
% 64.10/64.23                                                                   multiplication(C,X0),X1))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1299]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),multiplication(multiplication(
% 64.10/64.23                                                                multiplication(B,C),X0),X1))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1300]
% 64.10/64.23  multiplication(multiplication(A,multiplication(B,multiplication(C,antidomain(X0)))),
% 64.10/64.23  multiplication(X0,X1)) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1303]
% 64.10/64.23  multiplication(multiplication(A,multiplication(antidomain(multiplication(B,C)),B)),
% 64.10/64.23  multiplication(C,X0)) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1304]
% 64.10/64.23  leq(forward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1305]
% 64.10/64.23  leq(backward_diamond(A,B) addition antidomain(C) addition X0,one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1316]
% 64.10/64.23  leq(forward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1317]
% 64.10/64.23  leq(forward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1322]
% 64.10/64.23  leq(backward_diamond(A,B) addition multiplication(C,antidomain(X0)),one addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1323]
% 64.10/64.23  leq(backward_diamond(A,B) addition multiplication(antidomain(C),X0),one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1324]
% 64.10/64.23  forward_diamond(multiplication(A,antidomain(forward_diamond(B,antidomain(C)))),
% 64.10/64.23  multiplication(B,c(C))) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1325]
% 64.10/64.23  leq(multiplication(A,multiplication(B,antidomain(C))),multiplication(A,B) addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1329]
% 64.10/64.23  multiplication(multiplication(multiplication(A,antidomain(coantidomain(B))),C),
% 64.10/64.23  coantidomain(backward_diamond(C,B))) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1330]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),C),multiplication(B,C) addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1333]
% 64.10/64.23  multiplication(multiplication(A,antidomain(coantidomain(B))),multiplication(C,
% 64.10/64.23                                                               coantidomain(
% 64.10/64.23                                                               backward_diamond(C,B))))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1334]
% 64.10/64.23  leq(antidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1335]
% 64.10/64.23  leq(codomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1336]
% 64.10/64.23  leq(coantidomain(A) addition multiplication(antidomain(B),coantidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1337]
% 64.10/64.23  leq(c(A) addition multiplication(antidomain(B),coantidomain(C)),one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1338]
% 64.10/64.23  leq(antidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1339]
% 64.10/64.23  leq(codomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1340]
% 64.10/64.23  leq(coantidomain(A) addition multiplication(coantidomain(B),antidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1341]
% 64.10/64.23  leq(c(A) addition multiplication(coantidomain(B),antidomain(C)),one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1342]
% 64.10/64.23  leq(antidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1346]
% 64.10/64.23  leq(antidomain(A) addition multiplication(codomain(B),coantidomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1350]
% 64.10/64.23  leq(antidomain(A) addition multiplication(coantidomain(B),codomain(C)),
% 64.10/64.23  one addition X0) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1356]
% 64.10/64.23  multiplication(antidomain(multiplication(A,multiplication(B,C))),multiplication(
% 64.10/64.23                                                                   multiplication(A,B),C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1358]
% 64.10/64.23  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(A) addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1359]
% 64.10/64.23  leq(antidomain(A) addition multiplication(B,antidomain(C)),c(A) addition B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1360]
% 64.10/64.23  leq(multiplication(forward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1361]
% 64.10/64.23  leq(multiplication(backward_diamond(A,B),antidomain(C)) addition X0,one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1362]
% 64.10/64.23  leq(multiplication(antidomain(A),codomain(B)) addition C,c(A) addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1363]
% 64.10/64.23  leq(antidomain(A) addition multiplication(B,codomain(C)),c(A) addition B) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1366]
% 64.10/64.23  leq(antidomain(A) addition multiplication(B,coantidomain(C)),c(A) addition B)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1367]
% 64.10/64.23  leq(multiplication(antidomain(A),coantidomain(B)) addition C,c(A) addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1370]
% 64.10/64.23  leq(multiplication(antidomain(A),antidomain(B)) addition C,c(B) addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1371]
% 64.10/64.23  leq(antidomain(A) addition multiplication(antidomain(B),C),c(A) addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1372]
% 64.10/64.23  leq(multiplication(antidomain(A),forward_diamond(B,C)) addition X0,one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1373]
% 64.10/64.23  leq(multiplication(antidomain(A),backward_diamond(B,C)) addition X0,one addition X0)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1374]
% 64.10/64.23  leq(antidomain(A) addition B,codomain(antidomain(A)) addition B addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1375]
% 64.10/64.23  leq(antidomain(codomain(A)) addition B,coantidomain(A) addition B addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1376]
% 64.10/64.23  leq(antidomain(coantidomain(A)) addition B,codomain(A) addition B addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1377]
% 64.10/64.23  leq(multiplication(codomain(A),antidomain(B)) addition C,c(B) addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1378]
% 64.10/64.23  leq(antidomain(A) addition multiplication(codomain(B),C),c(A) addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1381]
% 64.10/64.23  leq(multiplication(coantidomain(A),antidomain(B)) addition C,c(B) addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1382]
% 64.10/64.23  leq(antidomain(A) addition multiplication(coantidomain(B),C),c(A) addition C)
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1385]
% 64.10/64.23  multiplication(multiplication(c(A),B),multiplication(coantidomain(multiplication(
% 64.10/64.23                                                                    antidomain(A),B)),C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1386]
% 64.10/64.23  multiplication(multiplication(antidomain(coantidomain(A)),B),multiplication(
% 64.10/64.23                                                               coantidomain(
% 64.10/64.23                                                               backward_diamond(B,A)),C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1388]
% 64.10/64.23  multiplication(multiplication(A,c(B)),multiplication(C,coantidomain(multiplication(
% 64.10/64.23                                                                      antidomain(B),C))))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1390]
% 64.10/64.23  multiplication(multiplication(multiplication(A,c(B)),C),coantidomain(
% 64.10/64.23                                                          multiplication(
% 64.10/64.23                                                          antidomain(B),C))) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule [1395] forward_diamond(antidomain(A),A) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1396] forward_diamond(antidomain(B) addition A,B) -> forward_diamond(A,B)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1397] forward_diamond(multiplication(c(A),antidomain(B)),A) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1400]
% 64.10/64.23  forward_diamond(c(c(A)) addition B,antidomain(A)) ->
% 64.10/64.23  forward_diamond(B,antidomain(A)) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1401]
% 64.10/64.23  forward_diamond(multiplication(c(B),antidomain(C)) addition A,B) ->
% 64.10/64.23  forward_diamond(A,B) collapsed.
% 64.10/64.23  Rule [1407] antidomain(one addition A) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1408] multiplication(antidomain(A),multiplication(codomain(B),A)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1409]
% 64.10/64.23  multiplication(antidomain(A),multiplication(coantidomain(B),A)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1410] multiplication(multiplication(A,antidomain(B addition C)),B) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1411] multiplication(antidomain(A addition B),multiplication(A,C)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1412] multiplication(antidomain(A),multiplication(antidomain(B),A)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule [1413] multiplication(antidomain(c(A) addition B),antidomain(A)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1414]
% 64.10/64.23  codomain(A) addition antidomain(coantidomain(A) addition B) -> codomain(A)
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1415]
% 64.10/64.23  multiplication(antidomain(A addition B),multiplication(coantidomain(C),A)) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1416]
% 64.10/64.23  multiplication(antidomain(A addition B),multiplication(codomain(C),A)) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1417]
% 64.10/64.23  multiplication(antidomain(A addition B),multiplication(antidomain(C),A)) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule [1426] multiplication(antidomain(A),coantidomain(c(A))) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1427]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),coantidomain(A)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1428] multiplication(antidomain(A),coantidomain(c(A) addition B)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1433]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),coantidomain(A addition C)) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1434] leq(antidomain(backward_diamond(A,c(B))),backward_box(A,B)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1435]
% 64.10/64.23  multiplication(antidomain(codomain(A) addition B),coantidomain(A)) ->
% 64.10/64.23  antidomain(codomain(A) addition B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1436]
% 64.10/64.23  multiplication(antidomain(coantidomain(A) addition B),codomain(A)) ->
% 64.10/64.23  antidomain(coantidomain(A) addition B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1437]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B addition C)),multiplication(B,X0))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1438]
% 64.10/64.23  multiplication(antidomain(A addition B),multiplication(multiplication(A,C),X0))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1444]
% 64.10/64.23  codomain(antidomain(A) addition B) addition antidomain(A) ->
% 64.10/64.23  codomain(antidomain(A) addition B) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1447] leq(backward_box(A,B) addition antidomain(C),one addition X0) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1454]
% 64.10/64.23  leq(antidomain(multiplication(A,c(B))),antidomain(forward_diamond(A,antidomain(B))))
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1455]
% 64.10/64.23  leq(antidomain(backward_diamond(A,c(B))),backward_box(A,B) addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1458] leq(multiplication(A,antidomain(B)),multiplication(A,c(B))) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1459]
% 64.10/64.23  multiplication(c(backward_box(A,B)),antidomain(backward_diamond(A,c(B)))) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1460]
% 64.10/64.23  multiplication(antidomain(backward_diamond(A,c(B))),coantidomain(backward_box(A,B)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1461]
% 64.10/64.23  leq(multiplication(A,antidomain(B)),multiplication(A,c(B)) addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule [1462] multiplication(antidomain(A),c(A)) -> antidomain(A) collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1463]
% 64.10/64.23  multiplication(antidomain(multiplication(A,c(B))),multiplication(A,antidomain(B)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1464]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 64.10/64.23                                                              c(B)))) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1465] leq(multiplication(antidomain(A),B),multiplication(c(A),B)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1466]
% 64.10/64.23  multiplication(antidomain(A),multiplication(coantidomain(c(A)),B)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1467]
% 64.10/64.23  leq(multiplication(antidomain(A),B),multiplication(c(A),B) addition C) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1471]
% 64.10/64.23  multiplication(antidomain(multiplication(c(A),B)),multiplication(antidomain(A),B))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1472]
% 64.10/64.23  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 64.10/64.23                                                              c(A),B))) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1473] leq(antidomain(A) addition antidomain(B),c(A) addition c(B)) -> true
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1474]
% 64.10/64.23  leq(one,antidomain(multiplication(antidomain(antidomain(A) addition B),c(A))))
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1475]
% 64.10/64.23  antidomain(multiplication(A,forward_diamond(coantidomain(A),B))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1476] antidomain(multiplication(antidomain(A),forward_diamond(A,B))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1477]
% 64.10/64.23  antidomain(multiplication(coantidomain(A),forward_diamond(codomain(A),B))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1478]
% 64.10/64.23  antidomain(multiplication(multiplication(A,B),forward_diamond(coantidomain(B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1479]
% 64.10/64.23  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(B,C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1480]
% 64.10/64.23  antidomain(multiplication(A,forward_diamond(multiplication(coantidomain(A),B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1481]
% 64.10/64.23  antidomain(multiplication(antidomain(A),forward_diamond(multiplication(A,B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1482]
% 64.10/64.23  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 64.10/64.23                                                              codomain(B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1483]
% 64.10/64.23  antidomain(multiplication(coantidomain(A),forward_diamond(multiplication(
% 64.10/64.23                                                            codomain(A),B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1484]
% 64.10/64.23  antidomain(multiplication(multiplication(A,B),forward_diamond(multiplication(
% 64.10/64.23                                                                coantidomain(B),C),X0)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1485]
% 64.10/64.23  antidomain(multiplication(multiplication(A,antidomain(B)),forward_diamond(
% 64.10/64.23                                                            multiplication(B,C),X0)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1486]
% 64.10/64.23  forward_diamond(A,B) addition antidomain(multiplication(A,forward_diamond(
% 64.10/64.23                                                            codomain(A),B))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1487]
% 64.10/64.23  multiplication(multiplication(antidomain(multiplication(A,B) addition C),A),
% 64.10/64.23  multiplication(B,X0)) -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1488]
% 64.10/64.23  multiplication(antidomain(multiplication(A,B) addition C),multiplication(A,
% 64.10/64.23                                                            multiplication(B,X0)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1491]
% 64.10/64.23  leq(multiplication(antidomain(backward_diamond(A,c(B))),antidomain(C)),
% 64.10/64.23  backward_box(A,B)) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1492]
% 64.10/64.23  leq(multiplication(antidomain(backward_diamond(A,c(B))),codomain(C)),
% 64.10/64.23  backward_box(A,B)) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1493]
% 64.10/64.23  leq(multiplication(antidomain(backward_diamond(A,c(B))),coantidomain(C)),
% 64.10/64.23  backward_box(A,B)) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1494]
% 64.10/64.23  leq(multiplication(antidomain(A),antidomain(backward_diamond(B,c(C)))),
% 64.10/64.23  backward_box(B,C)) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1495]
% 64.10/64.23  leq(multiplication(codomain(A),antidomain(backward_diamond(B,c(C)))),
% 64.10/64.23  backward_box(B,C)) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1496]
% 64.10/64.23  leq(multiplication(coantidomain(A),antidomain(backward_diamond(B,c(C)))),
% 64.10/64.23  backward_box(B,C)) -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1497]
% 64.10/64.23  multiplication(antidomain(backward_box(A,B) addition C),antidomain(backward_diamond(A,
% 64.10/64.23                                                                     c(B)))) ->
% 64.10/64.23  zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1498]
% 64.10/64.23  multiplication(antidomain(backward_diamond(A,c(B))),coantidomain(backward_box(A,B) addition C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1499]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),antidomain(C)),multiplication(A,
% 64.10/64.23                                                                    c(B))) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1500]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),codomain(C)),multiplication(A,
% 64.10/64.23                                                                  c(B))) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1501]
% 64.10/64.23  leq(multiplication(multiplication(A,antidomain(B)),coantidomain(C)),multiplication(A,
% 64.10/64.23                                                                      c(B))) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1502]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 64.10/64.23                                                                    c(C))) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1503]
% 64.10/64.23  leq(multiplication(codomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 64.10/64.23                                                                  c(C))) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1504]
% 64.10/64.23  leq(multiplication(coantidomain(A),multiplication(B,antidomain(C))),multiplication(B,
% 64.10/64.23                                                                      c(C))) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1505]
% 64.10/64.23  multiplication(antidomain(multiplication(A,c(B)) addition C),multiplication(A,
% 64.10/64.23                                                               antidomain(B)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1506]
% 64.10/64.23  multiplication(multiplication(A,antidomain(B)),coantidomain(multiplication(A,
% 64.10/64.23                                                              c(B)) addition C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1507]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),antidomain(C)),multiplication(
% 64.10/64.23                                                                    c(A),B)) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1508]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),codomain(C)),multiplication(
% 64.10/64.23                                                                  c(A),B)) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1509]
% 64.10/64.23  leq(multiplication(multiplication(antidomain(A),B),coantidomain(C)),multiplication(
% 64.10/64.23                                                                      c(A),B))
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1510]
% 64.10/64.23  leq(multiplication(antidomain(A),multiplication(antidomain(B),C)),multiplication(
% 64.10/64.23                                                                    c(B),C)) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1511]
% 64.10/64.23  leq(multiplication(codomain(A),multiplication(antidomain(B),C)),multiplication(
% 64.10/64.23                                                                  c(B),C)) ->
% 64.10/64.23  true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1512]
% 64.10/64.23  leq(multiplication(coantidomain(A),multiplication(antidomain(B),C)),multiplication(
% 64.10/64.23                                                                      c(B),C))
% 64.10/64.23  -> true collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1514]
% 64.10/64.23  multiplication(antidomain(multiplication(c(A),B) addition C),multiplication(
% 64.10/64.23                                                               antidomain(A),B))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1515]
% 64.10/64.23  multiplication(multiplication(antidomain(A),B),coantidomain(multiplication(
% 64.10/64.23                                                              c(A),B) addition C))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1516]
% 64.10/64.23  antidomain(multiplication(multiplication(A,coantidomain(B)),forward_diamond(
% 64.10/64.23                                                              multiplication(
% 64.10/64.23                                                              codomain(B),C),X0)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1517]
% 64.10/64.23  antidomain(multiplication(antidomain(A addition B),forward_diamond(A,C))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1518]
% 64.10/64.23  antidomain(multiplication(A,forward_diamond(coantidomain(A addition B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1523]
% 64.10/64.23  antidomain(multiplication(codomain(A),forward_diamond(coantidomain(A),B))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1530]
% 64.10/64.23  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,antidomain(A))))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1534]
% 64.10/64.23  multiplication(multiplication(antidomain(codomain(A)),B),coantidomain(
% 64.10/64.23                                                           backward_diamond(B,
% 64.10/64.23                                                           coantidomain(A))))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1541]
% 64.10/64.23  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),antidomain(
% 64.10/64.23                                                                      multiplication(A,B))))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1544]
% 64.10/64.23  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 64.10/64.23                                                                     antidomain(A)))))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1546]
% 64.10/64.23  coantidomain(backward_diamond(multiplication(A,B),multiplication(antidomain(
% 64.10/64.23                                                                   multiplication(C,A)),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1547]
% 64.10/64.23  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 64.10/64.23                                                                      antidomain(A))))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule [1548] coantidomain(backward_diamond(A,antidomain(A addition B))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1551]
% 64.10/64.23  multiplication(antidomain(coantidomain(backward_diamond(A,B))),coantidomain(
% 64.10/64.23                                                                 multiplication(B,A)))
% 64.10/64.23  -> zero collapsed.
% 64.10/64.23  Rule [1552] backward_diamond(A,antidomain(A)) -> zero collapsed.
% 64.10/64.23  Rule [1554] backward_diamond(A,multiplication(B,antidomain(A))) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1556]
% 64.10/64.23  coantidomain(backward_diamond(antidomain(A),multiplication(B,c(c(A))))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule [1558] backward_diamond(multiplication(A,B),antidomain(A)) -> zero
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1559]
% 64.10/64.23  coantidomain(backward_diamond(multiplication(antidomain(A),B),c(c(A)))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1560]
% 64.10/64.23  antidomain(multiplication(multiplication(A,codomain(B)),forward_diamond(
% 64.10/64.23                                                          coantidomain(B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1561]
% 64.10/64.23  antidomain(multiplication(codomain(A),forward_diamond(multiplication(
% 64.10/64.23                                                        coantidomain(A),B),C)))
% 64.10/64.23  -> one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1565]
% 64.10/64.23  codomain(c(A)) addition coantidomain(backward_diamond(antidomain(A),c(A))) ->
% 64.10/64.23  one collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1566]
% 64.10/64.23  codomain(antidomain(A)) addition coantidomain(backward_diamond(antidomain(A),
% 64.10/64.23                                                antidomain(A))) -> one
% 64.10/64.23  collapsed.
% 64.10/64.23  Rule
% 64.10/64.23  [1569]
% 70.29/70.41  leq(coantidomain(c(A)),coantidomain(backward_diamond(antidomain(A),c(A)))) ->
% 70.29/70.41  true collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1570]
% 70.29/70.41  leq(coantidomain(antidomain(A)),coantidomain(backward_diamond(antidomain(A),
% 70.29/70.41                                               antidomain(A)))) -> true
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1575]
% 70.29/70.41  antidomain(multiplication(coantidomain(backward_diamond(A,B)),forward_diamond(
% 70.29/70.41                                                                backward_diamond(A,B),C)))
% 70.29/70.41  -> one collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1577] forward_diamond(antidomain(c(A) addition B),antidomain(A)) -> zero
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1583]
% 70.29/70.41  c(A) addition multiplication(antidomain(A),forward_diamond(B,C)) -> c(A)
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1590]
% 70.29/70.41  c(A) addition multiplication(forward_diamond(B,C),antidomain(A)) -> c(A)
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1592]
% 70.29/70.41  multiplication(antidomain(A),multiplication(forward_diamond(B,C),A)) -> zero
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule [1594] c(A) addition multiplication(antidomain(A),c(B)) -> c(A)
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1601] multiplication(multiplication(A,antidomain(B)),c(C)) addition A -> A
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1602] multiplication(multiplication(A,c(B)),antidomain(C)) addition A -> A
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1603] multiplication(antidomain(B),multiplication(A,c(C))) addition A -> A
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1604] multiplication(multiplication(antidomain(A),B),c(C)) addition B -> B
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1609] leq(multiplication(multiplication(A,c(B)),antidomain(C)),A) -> true
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule
% 70.29/70.41  [1612] leq(multiplication(antidomain(A),multiplication(B,c(C))),B) -> true
% 70.29/70.41  collapsed.
% 70.29/70.41  Rule [1618] c(A) addition multiplication(c(B),antidomain(A)) -> c(A)
% 70.29/70.41  collapsed.
% 70.29/70.41  Current number of equations to process: 3881
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 678
% 70.29/70.41  New rule produced :
% 70.29/70.41  [1621]
% 70.29/70.41  c(forward_diamond(X0,X1)) addition c(multiplication(X0,X1)) ->
% 70.29/70.41  c(forward_diamond(X0,X1))
% 70.29/70.41  Current number of equations to process: 3880
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 679
% 70.29/70.41  New rule produced : [1622] c(one addition A) -> zero
% 70.29/70.41  Current number of equations to process: 3879
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 680
% 70.29/70.41  New rule produced : [1623] backward_diamond(A,c(A)) -> zero
% 70.29/70.41  Current number of equations to process: 3878
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 681
% 70.29/70.41  New rule produced : [1624] multiplication(multiplication(A,c(B)),B) -> zero
% 70.29/70.41  Rule [768] multiplication(multiplication(A,c(c(B))),c(B)) -> zero collapsed.
% 70.29/70.41  Current number of equations to process: 3878
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 681
% 70.29/70.41  New rule produced : [1625] multiplication(c(A addition B),A) -> zero
% 70.29/70.41  Current number of equations to process: 3877
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 682
% 70.29/70.41  New rule produced : [1626] leq(c(A),codomain(c(A))) -> true
% 70.29/70.41  Current number of equations to process: 3876
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 683
% 70.29/70.41  New rule produced : [1627] leq(c(codomain(A)),coantidomain(A)) -> true
% 70.29/70.41  Current number of equations to process: 3875
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 684
% 70.29/70.41  New rule produced : [1628] leq(c(coantidomain(A)),codomain(A)) -> true
% 70.29/70.41  Current number of equations to process: 3874
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 685
% 70.29/70.41  New rule produced : [1629] backward_diamond(A,multiplication(B,c(A))) -> zero
% 70.29/70.41  Current number of equations to process: 3873
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 686
% 70.29/70.41  New rule produced : [1630] backward_diamond(multiplication(A,B),c(A)) -> zero
% 70.29/70.41  Current number of equations to process: 3872
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 687
% 70.29/70.41  New rule produced :
% 70.29/70.41  [1631]
% 70.29/70.41  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),c(sK2_goals_X1)) ->
% 70.29/70.41  c(sK2_goals_X1)
% 70.29/70.41  Current number of equations to process: 3871
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 688
% 70.29/70.41  New rule produced :
% 70.29/70.41  [1632] c(codomain(A)) addition coantidomain(A) -> coantidomain(A)
% 70.29/70.41  Current number of equations to process: 3870
% 70.29/70.41  Current number of ordered equations: 0
% 70.29/70.41  Current number of rules: 689
% 70.29/70.41  New rule produced :
% 70.29/70.41  [1633] c(coantidomain(A)) addition codomain(A) -> codomain(A)
% 70.71/70.85  Current number of equations to process: 3869
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 690
% 70.71/70.85  New rule produced : [1634] c(forward_diamond(A,coantidomain(A))) -> one
% 70.71/70.85  Current number of equations to process: 3868
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 691
% 70.71/70.85  New rule produced : [1635] c(A) addition codomain(c(A)) -> codomain(c(A))
% 70.71/70.85  Current number of equations to process: 3870
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 692
% 70.71/70.85  New rule produced : [1636] leq(multiplication(c(A),c(B)),one) -> true
% 70.71/70.85  Current number of equations to process: 3869
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 693
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1637] multiplication(c(A),multiplication(codomain(B),A)) -> zero
% 70.71/70.85  Current number of equations to process: 3867
% 70.71/70.85  Current number of ordered equations: 1
% 70.71/70.85  Current number of rules: 694
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1638] multiplication(c(A),multiplication(coantidomain(B),A)) -> zero
% 70.71/70.85  Current number of equations to process: 3867
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 695
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1639] multiplication(c(A),multiplication(c(B),A)) -> zero
% 70.71/70.85  Current number of equations to process: 3866
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 696
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1640] c(forward_diamond(A,multiplication(coantidomain(A),c(c(B))))) -> one
% 70.71/70.85  Current number of equations to process: 3865
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 697
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1641] c(forward_diamond(c(A),multiplication(A,c(c(B))))) -> one
% 70.71/70.85  Current number of equations to process: 3864
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 698
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1642] coantidomain(backward_diamond(A,c(A addition B))) -> one
% 70.71/70.85  Current number of equations to process: 3863
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 699
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1643] multiplication(c(c(A)),coantidomain(c(A))) -> coantidomain(c(A))
% 70.71/70.85  Current number of equations to process: 3861
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 700
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1644] c(forward_diamond(codomain(A),coantidomain(A))) -> one
% 70.71/70.85  Current number of equations to process: 3880
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 701
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1645] one addition multiplication(backward_box(A,B),c(C)) -> one
% 70.71/70.85  Rule [801] one addition multiplication(backward_box(A,B),c(c(C))) -> one
% 70.71/70.85  collapsed.
% 70.71/70.85  Current number of equations to process: 3879
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 701
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1646] one addition multiplication(c(A),backward_box(B,C)) -> one
% 70.71/70.85  Rule [802] one addition multiplication(c(c(A)),backward_box(B,C)) -> one
% 70.71/70.85  collapsed.
% 70.71/70.85  Current number of equations to process: 3878
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 701
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1647] leq(multiplication(forward_diamond(A,B),c(C)),one) -> true
% 70.71/70.85  Current number of equations to process: 3877
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 702
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1648] leq(multiplication(backward_diamond(A,B),c(C)),one) -> true
% 70.71/70.85  Current number of equations to process: 3876
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 703
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1649] leq(multiplication(c(A),forward_diamond(B,C)),one) -> true
% 70.71/70.85  Current number of equations to process: 3875
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 704
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1650] leq(multiplication(c(A),backward_diamond(B,C)),one) -> true
% 70.71/70.85  Current number of equations to process: 3874
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 705
% 70.71/70.85  New rule produced : [1651] leq(c(A),codomain(c(A)) addition B) -> true
% 70.71/70.85  Current number of equations to process: 3873
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 706
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1652] leq(c(codomain(A)),coantidomain(A) addition B) -> true
% 70.71/70.85  Current number of equations to process: 3872
% 70.71/70.85  Current number of ordered equations: 0
% 70.71/70.85  Current number of rules: 707
% 70.71/70.85  New rule produced :
% 70.71/70.85  [1653] leq(c(coantidomain(A)),codomain(A) addition B) -> true
% 71.50/71.60  Current number of equations to process: 3871
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 708
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1654] multiplication(multiplication(A,c(B addition C)),B) -> zero
% 71.50/71.60  Current number of equations to process: 3870
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 709
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1655] multiplication(c(A addition B),multiplication(A,C)) -> zero
% 71.50/71.60  Current number of equations to process: 3869
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 710
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1656]
% 71.50/71.60  c(forward_diamond(coantidomain(A),multiplication(codomain(A),c(c(B))))) ->
% 71.50/71.60  one
% 71.50/71.60  Current number of equations to process: 3867
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 711
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1657]
% 71.50/71.60  c(forward_diamond(codomain(A),multiplication(coantidomain(A),c(c(B))))) ->
% 71.50/71.60  one
% 71.50/71.60  Current number of equations to process: 3866
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 712
% 71.50/71.60  New rule produced : [1658] forward_diamond(c(c(A) addition B),c(A)) -> zero
% 71.50/71.60  Current number of equations to process: 3865
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 713
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1659] multiplication(c(A),multiplication(forward_diamond(B,C),A)) -> zero
% 71.50/71.60  Current number of equations to process: 3864
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 714
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1660] multiplication(c(A),coantidomain(c(c(A)))) -> coantidomain(c(c(A)))
% 71.50/71.60  Current number of equations to process: 3863
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 715
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1661] multiplication(c(A),multiplication(c(A),B)) -> multiplication(c(A),B)
% 71.50/71.60  Current number of equations to process: 3862
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 716
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1662] multiplication(multiplication(A,c(B)),c(B)) -> multiplication(A,c(B))
% 71.50/71.60  Rule
% 71.50/71.60  [916]
% 71.50/71.60  multiplication(multiplication(A,c(c(B))),c(c(B))) ->
% 71.50/71.60  multiplication(A,c(c(B))) collapsed.
% 71.50/71.60  Current number of equations to process: 3861
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 716
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1663] c(coantidomain(A) addition B) addition codomain(A) -> codomain(A)
% 71.50/71.60  Current number of equations to process: 3860
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 717
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1664] c(forward_diamond(multiplication(A,B),coantidomain(B))) -> one
% 71.50/71.60  Current number of equations to process: 3867
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 718
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1665] c(forward_diamond(A,multiplication(coantidomain(A),B))) -> one
% 71.50/71.60  Rule
% 71.50/71.60  [1640] c(forward_diamond(A,multiplication(coantidomain(A),c(c(B))))) -> one
% 71.50/71.60  collapsed.
% 71.50/71.60  Current number of equations to process: 3866
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 718
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1666] c(forward_diamond(c(A),multiplication(A,B))) -> one
% 71.50/71.60  Rule [1641] c(forward_diamond(c(A),multiplication(A,c(c(B))))) -> one
% 71.50/71.60  collapsed.
% 71.50/71.60  Current number of equations to process: 3865
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 718
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1667] leq(backward_box(A,B) addition codomain(C),one) -> true
% 71.50/71.60  Current number of equations to process: 3961
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 719
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1668] leq(backward_box(A,B) addition coantidomain(C),one) -> true
% 71.50/71.60  Current number of equations to process: 3960
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 720
% 71.50/71.60  New rule produced : [1669] leq(backward_box(A,B) addition c(C),one) -> true
% 71.50/71.60  Current number of equations to process: 3959
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 721
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1670] leq(multiplication(backward_box(A,B),codomain(C)),one) -> true
% 71.50/71.60  Current number of equations to process: 3958
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 722
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1671] leq(multiplication(backward_box(A,B),coantidomain(C)),one) -> true
% 71.50/71.60  Current number of equations to process: 3957
% 71.50/71.60  Current number of ordered equations: 0
% 71.50/71.60  Current number of rules: 723
% 71.50/71.60  New rule produced :
% 71.50/71.60  [1672] leq(multiplication(codomain(A),backward_box(B,C)),one) -> true
% 72.11/72.28  Current number of equations to process: 3956
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 724
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1673] leq(multiplication(coantidomain(A),backward_box(B,C)),one) -> true
% 72.11/72.28  Current number of equations to process: 3955
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1674] multiplication(multiplication(A,c(B)),c(C)) addition A -> A
% 72.11/72.28  Rule [909] multiplication(multiplication(A,c(c(B))),c(c(C))) addition A -> A
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4032
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1675] multiplication(multiplication(c(A),B),c(C)) addition B -> B
% 72.11/72.28  Rule [910] multiplication(multiplication(c(c(A)),B),c(c(C))) addition B -> B
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4031
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1676] multiplication(c(A),multiplication(B,c(C))) addition B -> B
% 72.11/72.28  Rule [911] multiplication(c(c(A)),multiplication(B,c(c(C)))) addition B -> B
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4030
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1677] multiplication(c(A),multiplication(B,codomain(C))) addition B -> B
% 72.11/72.28  Rule
% 72.11/72.28  [826] multiplication(c(c(A)),multiplication(B,codomain(C))) addition B -> B
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4028
% 72.11/72.28  Current number of ordered equations: 1
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1678] multiplication(c(A),multiplication(B,coantidomain(C))) addition B -> B
% 72.11/72.28  Rule
% 72.11/72.28  [825]
% 72.11/72.28  multiplication(c(c(A)),multiplication(B,coantidomain(C))) addition B -> B
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4028
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1679] multiplication(c(A),multiplication(c(B),C)) addition C -> C
% 72.11/72.28  Rule [912] multiplication(c(c(A)),multiplication(c(c(B)),C)) addition C -> C
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4027
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1680] multiplication(c(A),multiplication(codomain(B),C)) addition C -> C
% 72.11/72.28  Rule
% 72.11/72.28  [829] multiplication(c(c(A)),multiplication(codomain(B),C)) addition C -> C
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4025
% 72.11/72.28  Current number of ordered equations: 1
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1681] multiplication(c(A),multiplication(coantidomain(B),C)) addition C -> C
% 72.11/72.28  Rule
% 72.11/72.28  [828]
% 72.11/72.28  multiplication(c(c(A)),multiplication(coantidomain(B),C)) addition C -> C
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4025
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1682] multiplication(multiplication(c(A),B),codomain(C)) addition B -> B
% 72.11/72.28  Rule
% 72.11/72.28  [835] multiplication(multiplication(c(c(A)),B),codomain(C)) addition B -> B
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4024
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1683] multiplication(codomain(A),multiplication(c(B),C)) addition C -> C
% 72.11/72.28  Rule
% 72.11/72.28  [837] multiplication(codomain(A),multiplication(c(c(B)),C)) addition C -> C
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4023
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1684] multiplication(multiplication(c(A),B),coantidomain(C)) addition B -> B
% 72.11/72.28  Rule
% 72.11/72.28  [839]
% 72.11/72.28  multiplication(multiplication(c(c(A)),B),coantidomain(C)) addition B -> B
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4022
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1685] multiplication(coantidomain(A),multiplication(c(B),C)) addition C -> C
% 72.11/72.28  Rule
% 72.11/72.28  [841]
% 72.11/72.28  multiplication(coantidomain(A),multiplication(c(c(B)),C)) addition C -> C
% 72.11/72.28  collapsed.
% 72.11/72.28  Current number of equations to process: 4021
% 72.11/72.28  Current number of ordered equations: 0
% 72.11/72.28  Current number of rules: 725
% 72.11/72.28  New rule produced :
% 72.11/72.28  [1686] leq(multiplication(multiplication(A,codomain(B)),c(C)),A) -> true
% 72.11/72.28  Current number of equations to process: 4019
% 72.29/72.48  Current number of ordered equations: 1
% 72.29/72.48  Current number of rules: 726
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1687] leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A) -> true
% 72.29/72.48  Current number of equations to process: 4019
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 727
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1688] leq(multiplication(multiplication(codomain(A),B),c(C)),B) -> true
% 72.29/72.48  Current number of equations to process: 4017
% 72.29/72.48  Current number of ordered equations: 1
% 72.29/72.48  Current number of rules: 728
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1689] leq(multiplication(multiplication(coantidomain(A),B),c(C)),B) -> true
% 72.29/72.48  Current number of equations to process: 4017
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 729
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1690] leq(multiplication(multiplication(A,c(B)),c(C)),A) -> true
% 72.29/72.48  Current number of equations to process: 4016
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 730
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1691] leq(multiplication(multiplication(c(A),B),c(C)),B) -> true
% 72.29/72.48  Current number of equations to process: 4015
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 731
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1692] leq(multiplication(multiplication(c(A),B),codomain(C)),B) -> true
% 72.29/72.48  Current number of equations to process: 4014
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 732
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1693] leq(multiplication(multiplication(c(A),B),coantidomain(C)),B) -> true
% 72.29/72.48  Current number of equations to process: 4013
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 733
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1694] leq(multiplication(c(A),multiplication(B,codomain(C))),B) -> true
% 72.29/72.48  Current number of equations to process: 4011
% 72.29/72.48  Current number of ordered equations: 1
% 72.29/72.48  Current number of rules: 734
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1695] leq(multiplication(c(A),multiplication(B,coantidomain(C))),B) -> true
% 72.29/72.48  Current number of equations to process: 4011
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 735
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1696] leq(multiplication(c(A),multiplication(codomain(B),C)),C) -> true
% 72.29/72.48  Current number of equations to process: 4009
% 72.29/72.48  Current number of ordered equations: 1
% 72.29/72.48  Current number of rules: 736
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1697] leq(multiplication(c(A),multiplication(coantidomain(B),C)),C) -> true
% 72.29/72.48  Current number of equations to process: 4009
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 737
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1698] leq(multiplication(c(A),c(B)),one addition C) -> true
% 72.29/72.48  Current number of equations to process: 4008
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 738
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1699] leq(multiplication(c(A),multiplication(B,c(C))),B) -> true
% 72.29/72.48  Current number of equations to process: 4007
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 739
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1700] leq(multiplication(c(A),multiplication(c(B),C)),C) -> true
% 72.29/72.48  Current number of equations to process: 4006
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 740
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1701] leq(multiplication(codomain(A),multiplication(c(B),C)),C) -> true
% 72.29/72.48  Current number of equations to process: 4005
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 741
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1702] leq(multiplication(coantidomain(A),multiplication(c(B),C)),C) -> true
% 72.29/72.48  Current number of equations to process: 4004
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 742
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1703]
% 72.29/72.48  multiplication(c(A addition B),multiplication(coantidomain(C),A)) -> zero
% 72.29/72.48  Current number of equations to process: 4002
% 72.29/72.48  Current number of ordered equations: 1
% 72.29/72.48  Current number of rules: 743
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1704] multiplication(c(A addition B),multiplication(codomain(C),A)) -> zero
% 72.29/72.48  Current number of equations to process: 4002
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 744
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1705] multiplication(c(A addition B),multiplication(c(C),A)) -> zero
% 72.29/72.48  Current number of equations to process: 4001
% 72.29/72.48  Current number of ordered equations: 0
% 72.29/72.48  Current number of rules: 745
% 72.29/72.48  New rule produced :
% 72.29/72.48  [1706]
% 72.29/72.48  multiplication(multiplication(A,c(B)),coantidomain(A addition C)) -> zero
% 72.29/72.48  Current number of equations to process: 4000
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 746
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1707]
% 74.60/74.78  c(forward_diamond(multiplication(A,B),multiplication(coantidomain(B),c(c(C)))))
% 74.60/74.78  -> one
% 74.60/74.78  Current number of equations to process: 3999
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 747
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1708]
% 74.60/74.78  c(forward_diamond(multiplication(A,c(B)),multiplication(B,c(c(C))))) -> one
% 74.60/74.78  Current number of equations to process: 3998
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 748
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1709]
% 74.60/74.78  c(forward_diamond(A,multiplication(multiplication(coantidomain(A),B),c(c(C)))))
% 74.60/74.78  -> one
% 74.60/74.78  Current number of equations to process: 3997
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 749
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1710]
% 74.60/74.78  c(forward_diamond(c(A),multiplication(multiplication(A,B),c(c(C))))) -> one
% 74.60/74.78  Current number of equations to process: 3996
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 750
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1711] c(forward_diamond(c(A addition B),multiplication(A,c(c(C))))) -> one
% 74.60/74.78  Current number of equations to process: 3995
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 751
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1712]
% 74.60/74.78  c(forward_diamond(A,multiplication(coantidomain(A addition B),c(c(C))))) ->
% 74.60/74.78  one
% 74.60/74.78  Current number of equations to process: 3994
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 752
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1713]
% 74.60/74.78  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,c(A)))) ->
% 74.60/74.78  one
% 74.60/74.78  Current number of equations to process: 3993
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 753
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1714] leq(backward_box(A,B) addition backward_diamond(C,X0),one) -> true
% 74.60/74.78  Current number of equations to process: 3959
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 754
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1715] leq(backward_box(A,B) addition forward_diamond(C,X0),one) -> true
% 74.60/74.78  Current number of equations to process: 3958
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 755
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1716]
% 74.60/74.78  one addition multiplication(backward_box(A,B),forward_diamond(C,X0)) -> one
% 74.60/74.78  Current number of equations to process: 3957
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 756
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1717]
% 74.60/74.78  one addition multiplication(forward_diamond(A,B),backward_box(C,X0)) -> one
% 74.60/74.78  Current number of equations to process: 3956
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 757
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1718]
% 74.60/74.78  one addition multiplication(backward_diamond(A,B),backward_diamond(C,X0)) ->
% 74.60/74.78  one
% 74.60/74.78  Current number of equations to process: 4022
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 758
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1719] forward_diamond(multiplication(c(A),backward_diamond(B,C)),A) -> zero
% 74.60/74.78  Current number of equations to process: 4074
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 759
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1720]
% 74.60/74.78  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A)) ->
% 74.60/74.78  zero
% 74.60/74.78  Current number of equations to process: 4073
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 760
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1721]
% 74.60/74.78  one addition multiplication(backward_box(A,B),backward_diamond(C,X0)) -> one
% 74.60/74.78  Current number of equations to process: 4140
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 761
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1722]
% 74.60/74.78  one addition multiplication(backward_diamond(A,B),backward_box(C,X0)) -> one
% 74.60/74.78  Current number of equations to process: 4305
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 762
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1723]
% 74.60/74.78  multiplication(A,multiplication(coantidomain(B),codomain(C))) addition A -> A
% 74.60/74.78  Current number of equations to process: 4304
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 763
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1724]
% 74.60/74.78  multiplication(multiplication(coantidomain(B),codomain(C)),A) addition A -> A
% 74.60/74.78  Current number of equations to process: 4303
% 74.60/74.78  Current number of ordered equations: 0
% 74.60/74.78  Current number of rules: 764
% 74.60/74.78  New rule produced :
% 74.60/74.78  [1725]
% 74.60/74.78  multiplication(A,multiplication(codomain(B),codomain(C))) addition A -> A
% 76.10/76.23  Current number of equations to process: 4421
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 765
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1726]
% 76.10/76.23  multiplication(multiplication(codomain(B),codomain(C)),A) addition A -> A
% 76.10/76.23  Current number of equations to process: 4420
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 766
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1727] multiplication(A,multiplication(c(B),codomain(C))) addition A -> A
% 76.10/76.23  Current number of equations to process: 4541
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 767
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1728] multiplication(multiplication(c(B),codomain(C)),A) addition A -> A
% 76.10/76.23  Current number of equations to process: 4540
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 768
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1729]
% 76.10/76.23  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 76.10/76.23                                                         c(sK2_goals_X1),A)) ->
% 76.10/76.23  multiplication(c(sK2_goals_X1),A)
% 76.10/76.23  Current number of equations to process: 4660
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 769
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1730] multiplication(forward_diamond(A,B),c(forward_diamond(A,B))) -> zero
% 76.10/76.23  Current number of equations to process: 4659
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 770
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1731]
% 76.10/76.23  backward_box(A,multiplication(B,c(c(C)))) ->
% 76.10/76.23  backward_box(A,forward_diamond(B,C))
% 76.10/76.23  Current number of equations to process: 4658
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 771
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1732]
% 76.10/76.23  forward_diamond(c(forward_diamond(A,B)),multiplication(A,c(c(B)))) -> zero
% 76.10/76.23  Current number of equations to process: 4657
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 772
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1733] forward_diamond(multiplication(c(forward_diamond(A,B)),A),B) -> zero
% 76.10/76.23  Current number of equations to process: 4656
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 773
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1734]
% 76.10/76.23  multiplication(multiplication(A,c(coantidomain(B))),codomain(B)) ->
% 76.10/76.23  multiplication(A,c(coantidomain(B)))
% 76.10/76.23  Current number of equations to process: 4654
% 76.10/76.23  Current number of ordered equations: 1
% 76.10/76.23  Current number of rules: 774
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1735]
% 76.10/76.23  multiplication(multiplication(A,c(codomain(B))),coantidomain(B)) ->
% 76.10/76.23  multiplication(A,c(codomain(B)))
% 76.10/76.23  Current number of equations to process: 4654
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 775
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1736]
% 76.10/76.23  codomain(B) addition multiplication(c(A),coantidomain(B)) ->
% 76.10/76.23  c(A) addition codomain(B)
% 76.10/76.23  Rule
% 76.10/76.23  [1198]
% 76.10/76.23  codomain(A) addition multiplication(c(c(B)),coantidomain(A)) ->
% 76.10/76.23  c(c(B)) addition codomain(A) collapsed.
% 76.10/76.23  Current number of equations to process: 4653
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 775
% 76.10/76.23  Rule [1207]
% 76.10/76.23       c(A) addition multiplication(codomain(B),c(c(A))) <->
% 76.10/76.23       codomain(B) addition multiplication(coantidomain(B),c(A)) is composed into 
% 76.10/76.23  [1207]
% 76.10/76.23  c(A) addition multiplication(codomain(B),c(c(A))) ->
% 76.10/76.23  c(A) addition codomain(B)
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1737]
% 76.10/76.23  codomain(A) addition multiplication(coantidomain(A),c(B)) ->
% 76.10/76.23  c(B) addition codomain(A)
% 76.10/76.23  Rule
% 76.10/76.23  [1196]
% 76.10/76.23  codomain(A) addition multiplication(coantidomain(A),c(c(B))) ->
% 76.10/76.23  c(c(B)) addition codomain(A) collapsed.
% 76.10/76.23  Rule
% 76.10/76.23  [1209]
% 76.10/76.23  codomain(B) addition multiplication(coantidomain(B),c(A)) <->
% 76.10/76.23  c(A) addition multiplication(codomain(B),c(c(A))) collapsed.
% 76.10/76.23  Current number of equations to process: 4652
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 774
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1738]
% 76.10/76.23  multiplication(multiplication(A,multiplication(B,c(C))),multiplication(C,X0))
% 76.10/76.23  -> zero
% 76.10/76.23  Rule
% 76.10/76.23  [1355]
% 76.10/76.23  multiplication(multiplication(A,multiplication(B,c(c(C)))),multiplication(
% 76.10/76.23                                                             c(C),X0)) -> zero
% 76.10/76.23  collapsed.
% 76.10/76.23  Current number of equations to process: 4651
% 76.10/76.23  Current number of ordered equations: 0
% 76.10/76.23  Current number of rules: 774
% 76.10/76.23  New rule produced :
% 76.10/76.23  [1739]
% 76.10/76.23  multiplication(multiplication(c(multiplication(A,B)),A),multiplication(B,C))
% 76.10/76.23  -> zero
% 76.10/76.23  Current number of equations to process: 4649
% 76.10/76.23  Current number of ordered equations: 1
% 76.10/76.23  Current number of rules: 775
% 76.10/76.23  New rule produced :
% 76.91/77.07  [1740]
% 76.91/77.07  multiplication(multiplication(A,c(B)),multiplication(multiplication(B,C),X0))
% 76.91/77.07  -> zero
% 76.91/77.07  Rule
% 76.91/77.07  [1357]
% 76.91/77.07  multiplication(multiplication(A,c(c(B))),multiplication(multiplication(
% 76.91/77.07                                                          c(B),C),X0)) -> zero
% 76.91/77.07  collapsed.
% 76.91/77.07  Current number of equations to process: 4649
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 775
% 76.91/77.07  Rule [1208]
% 76.91/77.07       c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 76.91/77.07       coantidomain(B) addition multiplication(codomain(B),c(A)) is composed into 
% 76.91/77.07  [1208]
% 76.91/77.07  c(A) addition multiplication(coantidomain(B),c(c(A))) ->
% 76.91/77.07  c(A) addition coantidomain(B)
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1741]
% 76.91/77.07  coantidomain(A) addition multiplication(codomain(A),c(B)) ->
% 76.91/77.07  c(B) addition coantidomain(A)
% 76.91/77.07  Rule
% 76.91/77.07  [1197]
% 76.91/77.07  coantidomain(A) addition multiplication(codomain(A),c(c(B))) ->
% 76.91/77.07  c(c(B)) addition coantidomain(A) collapsed.
% 76.91/77.07  Current number of equations to process: 4808
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 775
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1742]
% 76.91/77.07  multiplication(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),
% 76.91/77.07  c(B)) addition A -> A
% 76.91/77.07  Current number of equations to process: 4807
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 776
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1743]
% 76.91/77.07  multiplication(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),
% 76.91/77.07  c(B)) addition A -> A
% 76.91/77.07  Current number of equations to process: 4806
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 777
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1744]
% 76.91/77.07  coantidomain(A) addition multiplication(c(B),codomain(A)) ->
% 76.91/77.07  c(B) addition coantidomain(A)
% 76.91/77.07  Rule
% 76.91/77.07  [1199]
% 76.91/77.07  coantidomain(A) addition multiplication(c(c(B)),codomain(A)) ->
% 76.91/77.07  c(c(B)) addition coantidomain(A) collapsed.
% 76.91/77.07  Current number of equations to process: 4805
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 777
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1745]
% 76.91/77.07  multiplication(c(A),multiplication(B,backward_box(sK3_goals_X0,sK1_goals_X2))) addition B
% 76.91/77.07  -> B
% 76.91/77.07  Current number of equations to process: 4803
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 778
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1746]
% 76.91/77.07  multiplication(c(A),multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),B)) addition B
% 76.91/77.07  -> B
% 76.91/77.07  Current number of equations to process: 4802
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 779
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1747]
% 76.91/77.07  c(forward_diamond(multiplication(A,coantidomain(B)),codomain(B))) -> one
% 76.91/77.07  Current number of equations to process: 4801
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 780
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1748]
% 76.91/77.07  c(forward_diamond(coantidomain(A),multiplication(codomain(A),B))) -> one
% 76.91/77.07  Rule
% 76.91/77.07  [1656]
% 76.91/77.07  c(forward_diamond(coantidomain(A),multiplication(codomain(A),c(c(B))))) ->
% 76.91/77.07  one collapsed.
% 76.91/77.07  Current number of equations to process: 4800
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 780
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1749]
% 76.91/77.07  multiplication(backward_box(A,B),backward_box(A,B)) -> backward_box(A,B)
% 76.91/77.07  Current number of equations to process: 4798
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 781
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1750]
% 76.91/77.07  forward_diamond(c(forward_diamond(A,c(B))),multiplication(A,c(B))) -> zero
% 76.91/77.07  Current number of equations to process: 4797
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 782
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1751]
% 76.91/77.07  leq(multiplication(A,multiplication(B,c(C))),multiplication(A,B)) -> true
% 76.91/77.07  Current number of equations to process: 4796
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 783
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1752] leq(multiplication(forward_diamond(A,B),c(C)),one addition X0) -> true
% 76.91/77.07  Current number of equations to process: 4795
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 784
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1753]
% 76.91/77.07  leq(multiplication(backward_diamond(A,B),c(C)),one addition X0) -> true
% 76.91/77.07  Current number of equations to process: 4794
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 785
% 76.91/77.07  New rule produced :
% 76.91/77.07  [1754]
% 76.91/77.07  multiplication(c(codomain(A)),multiplication(coantidomain(A),B)) ->
% 76.91/77.07  multiplication(c(codomain(A)),B)
% 76.91/77.07  Current number of equations to process: 4793
% 76.91/77.07  Current number of ordered equations: 0
% 76.91/77.07  Current number of rules: 786
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1755]
% 77.12/77.21  multiplication(c(coantidomain(A)),multiplication(codomain(A),B)) ->
% 77.12/77.21  multiplication(c(coantidomain(A)),B)
% 77.12/77.21  Current number of equations to process: 4792
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 787
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1756]
% 77.12/77.21  multiplication(multiplication(c(coantidomain(A)),B),coantidomain(backward_diamond(B,A)))
% 77.12/77.21  -> zero
% 77.12/77.21  Current number of equations to process: 4791
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 788
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1757]
% 77.12/77.21  leq(multiplication(multiplication(c(A),B),C),multiplication(B,C)) -> true
% 77.12/77.21  Current number of equations to process: 4790
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 789
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1758] leq(multiplication(c(A),forward_diamond(B,C)),one addition X0) -> true
% 77.12/77.21  Current number of equations to process: 4789
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 790
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1759]
% 77.12/77.21  leq(multiplication(c(A),backward_diamond(B,C)),one addition X0) -> true
% 77.12/77.21  Current number of equations to process: 4788
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 791
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1760] leq(c(A) addition B,codomain(c(A)) addition B) -> true
% 77.12/77.21  Current number of equations to process: 4787
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 792
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1761] leq(c(codomain(A)) addition B,coantidomain(A) addition B) -> true
% 77.12/77.21  Current number of equations to process: 4786
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 793
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1762] leq(c(coantidomain(A)) addition B,codomain(A) addition B) -> true
% 77.12/77.21  Current number of equations to process: 4785
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 794
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1763]
% 77.12/77.21  forward_diamond(multiplication(c(B),c(C)) addition A,B) ->
% 77.12/77.21  forward_diamond(A,B)
% 77.12/77.21  Current number of equations to process: 4784
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 795
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1764]
% 77.12/77.21  multiplication(c(coantidomain(A) addition B),codomain(A)) ->
% 77.12/77.21  c(coantidomain(A) addition B)
% 77.12/77.21  Current number of equations to process: 4782
% 77.12/77.21  Current number of ordered equations: 1
% 77.12/77.21  Current number of rules: 796
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1765]
% 77.12/77.21  multiplication(c(codomain(A) addition B),coantidomain(A)) ->
% 77.12/77.21  c(codomain(A) addition B)
% 77.12/77.21  Current number of equations to process: 4782
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 797
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1766]
% 77.12/77.21  multiplication(multiplication(A,c(B addition C)),multiplication(B,X0)) ->
% 77.12/77.21  zero
% 77.12/77.21  Current number of equations to process: 4781
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 798
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1767]
% 77.12/77.21  multiplication(c(A addition B),multiplication(multiplication(A,C),X0)) ->
% 77.12/77.21  zero
% 77.12/77.21  Current number of equations to process: 4780
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 799
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1768] c(A) addition codomain(c(A) addition B) -> codomain(c(A) addition B)
% 77.12/77.21  Current number of equations to process: 4779
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 800
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1769]
% 77.12/77.21  multiplication(c(forward_diamond(A,c(B))),multiplication(A,c(B))) -> zero
% 77.12/77.21  Current number of equations to process: 4778
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 801
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1770]
% 77.12/77.21  c(forward_diamond(multiplication(A,coantidomain(B)),multiplication(codomain(B),
% 77.12/77.21                                                      c(c(C))))) -> one
% 77.12/77.21  Current number of equations to process: 4777
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 802
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1771]
% 77.12/77.21  c(forward_diamond(coantidomain(A),multiplication(multiplication(codomain(A),B),
% 77.12/77.21                                    c(c(C))))) -> one
% 77.12/77.21  Current number of equations to process: 4776
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 803
% 77.12/77.21  New rule produced :
% 77.12/77.21  [1772]
% 77.12/77.21  multiplication(c(coantidomain(backward_diamond(A,B))),coantidomain(multiplication(B,A)))
% 77.12/77.21  -> zero
% 77.12/77.21  Current number of equations to process: 4775
% 77.12/77.21  Current number of ordered equations: 0
% 77.12/77.21  Current number of rules: 804
% 77.12/77.21  New rule produced :
% 77.22/77.35  [1773]
% 77.22/77.35  c(forward_diamond(multiplication(A,codomain(B)),multiplication(coantidomain(B),
% 77.22/77.35                                                  c(c(C))))) -> one
% 77.22/77.35  Current number of equations to process: 4774
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 805
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1774]
% 77.22/77.35  c(forward_diamond(codomain(A),multiplication(multiplication(coantidomain(A),B),
% 77.22/77.35                                c(c(C))))) -> one
% 77.22/77.35  Current number of equations to process: 4773
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 806
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1775]
% 77.22/77.35  codomain(c(A)) addition coantidomain(backward_diamond(c(A),c(A))) -> one
% 77.22/77.35  Current number of equations to process: 4772
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 807
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1776]
% 77.22/77.35  leq(coantidomain(c(A)),coantidomain(backward_diamond(c(A),c(A)))) -> true
% 77.22/77.35  Current number of equations to process: 4771
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 808
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1777]
% 77.22/77.35  multiplication(multiplication(A,codomain(B)),forward_diamond(C,X0)) addition A
% 77.22/77.35  -> A
% 77.22/77.35  Current number of equations to process: 4769
% 77.22/77.35  Current number of ordered equations: 1
% 77.22/77.35  Current number of rules: 809
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1778]
% 77.22/77.35  multiplication(multiplication(A,coantidomain(B)),forward_diamond(C,X0)) addition A
% 77.22/77.35  -> A
% 77.22/77.35  Current number of equations to process: 4769
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 810
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1779]
% 77.22/77.35  multiplication(multiplication(codomain(A),B),forward_diamond(C,X0)) addition B
% 77.22/77.35  -> B
% 77.22/77.35  Current number of equations to process: 4767
% 77.22/77.35  Current number of ordered equations: 1
% 77.22/77.35  Current number of rules: 811
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1780]
% 77.22/77.35  multiplication(multiplication(coantidomain(A),B),forward_diamond(C,X0)) addition B
% 77.22/77.35  -> B
% 77.22/77.35  Current number of equations to process: 4767
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 812
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1781]
% 77.22/77.35  multiplication(multiplication(A,forward_diamond(B,C)),c(X0)) addition A -> A
% 77.22/77.35  Current number of equations to process: 4765
% 77.22/77.35  Current number of ordered equations: 1
% 77.22/77.35  Current number of rules: 813
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1782]
% 77.22/77.35  multiplication(multiplication(A,c(B)),forward_diamond(C,X0)) addition A -> A
% 77.22/77.35  Current number of equations to process: 4765
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 814
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1783]
% 77.22/77.35  multiplication(c(B),multiplication(A,forward_diamond(C,X0))) addition A -> A
% 77.22/77.35  Current number of equations to process: 4763
% 77.22/77.35  Current number of ordered equations: 1
% 77.22/77.35  Current number of rules: 815
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1784]
% 77.22/77.35  multiplication(multiplication(c(A),B),forward_diamond(C,X0)) addition B -> B
% 77.22/77.35  Current number of equations to process: 4763
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 816
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1785]
% 77.22/77.35  multiplication(multiplication(A,forward_diamond(B,C)),codomain(X0)) addition A
% 77.22/77.35  -> A
% 77.22/77.35  Current number of equations to process: 4761
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 817
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1786]
% 77.22/77.35  multiplication(codomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 77.22/77.35  -> A
% 77.22/77.35  Current number of equations to process: 4759
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 818
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1787]
% 77.22/77.35  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)) addition A
% 77.22/77.35  -> A
% 77.22/77.35  Current number of equations to process: 4757
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 819
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1788]
% 77.22/77.35  multiplication(coantidomain(B),multiplication(A,forward_diamond(C,X0))) addition A
% 77.22/77.35  -> A
% 77.22/77.35  Current number of equations to process: 4755
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 820
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1789]
% 77.22/77.35  leq(multiplication(multiplication(A,forward_diamond(B,C)),c(X0)),A) -> true
% 77.22/77.35  Current number of equations to process: 4753
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 821
% 77.22/77.35  New rule produced :
% 77.22/77.35  [1790]
% 77.22/77.35  leq(multiplication(multiplication(A,forward_diamond(B,C)),codomain(X0)),A) ->
% 77.22/77.35  true
% 77.22/77.35  Current number of equations to process: 4752
% 77.22/77.35  Current number of ordered equations: 0
% 77.22/77.35  Current number of rules: 822
% 77.22/77.35  New rule produced :
% 77.42/77.51  [1791]
% 77.42/77.51  leq(multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(X0)),A)
% 77.42/77.51  -> true
% 77.42/77.51  Current number of equations to process: 4751
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 823
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1792]
% 77.42/77.51  leq(multiplication(c(A),multiplication(B,forward_diamond(C,X0))),B) -> true
% 77.42/77.51  Current number of equations to process: 4750
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 824
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1793]
% 77.42/77.51  leq(multiplication(codomain(A),multiplication(B,forward_diamond(C,X0))),B) ->
% 77.42/77.51  true
% 77.42/77.51  Current number of equations to process: 4749
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 825
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1794]
% 77.42/77.51  leq(multiplication(coantidomain(A),multiplication(B,forward_diamond(C,X0))),B)
% 77.42/77.51  -> true
% 77.42/77.51  Current number of equations to process: 4748
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 826
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1795]
% 77.42/77.51  multiplication(multiplication(A,forward_diamond(B,C)),coantidomain(A addition X0))
% 77.42/77.51  -> zero
% 77.42/77.51  Current number of equations to process: 4747
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 827
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1796]
% 77.42/77.51  multiplication(forward_diamond(A,B),multiplication(C,codomain(X0))) addition C
% 77.42/77.51  -> C
% 77.42/77.51  Current number of equations to process: 4745
% 77.42/77.51  Current number of ordered equations: 1
% 77.42/77.51  Current number of rules: 828
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1797]
% 77.42/77.51  multiplication(forward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 77.42/77.51  -> C
% 77.42/77.51  Current number of equations to process: 4745
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 829
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1798]
% 77.42/77.51  multiplication(forward_diamond(A,B),multiplication(codomain(C),X0)) addition X0
% 77.42/77.51  -> X0
% 77.42/77.51  Current number of equations to process: 4743
% 77.42/77.51  Current number of ordered equations: 1
% 77.42/77.51  Current number of rules: 830
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1799]
% 77.42/77.51  multiplication(forward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 77.42/77.51  -> X0
% 77.42/77.51  Current number of equations to process: 4743
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 831
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1800]
% 77.42/77.51  multiplication(multiplication(forward_diamond(B,C),A),c(X0)) addition A -> A
% 77.42/77.51  Current number of equations to process: 4741
% 77.42/77.51  Current number of ordered equations: 1
% 77.42/77.51  Current number of rules: 832
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1801]
% 77.42/77.51  multiplication(forward_diamond(A,B),multiplication(C,c(X0))) addition C -> C
% 77.42/77.51  Current number of equations to process: 4741
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 833
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1802]
% 77.42/77.51  multiplication(c(B),multiplication(forward_diamond(C,X0),A)) addition A -> A
% 77.42/77.51  Current number of equations to process: 4739
% 77.42/77.51  Current number of ordered equations: 1
% 77.42/77.51  Current number of rules: 834
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1803]
% 77.42/77.51  multiplication(forward_diamond(A,B),multiplication(c(C),X0)) addition X0 ->
% 77.42/77.51  X0
% 77.42/77.51  Current number of equations to process: 4739
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 835
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1804]
% 77.42/77.51  multiplication(multiplication(forward_diamond(B,C),A),codomain(X0)) addition A
% 77.42/77.51  -> A
% 77.42/77.51  Current number of equations to process: 4737
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 836
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1805]
% 77.42/77.51  multiplication(codomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 77.42/77.51  -> A
% 77.42/77.51  Current number of equations to process: 4735
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 837
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1806]
% 77.42/77.51  multiplication(multiplication(forward_diamond(B,C),A),coantidomain(X0)) addition A
% 77.42/77.51  -> A
% 77.42/77.51  Current number of equations to process: 4733
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 838
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1807]
% 77.42/77.51  multiplication(coantidomain(B),multiplication(forward_diamond(C,X0),A)) addition A
% 77.42/77.51  -> A
% 77.42/77.51  Current number of equations to process: 4731
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 839
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1808]
% 77.42/77.51  leq(multiplication(multiplication(forward_diamond(A,B),C),c(X0)),C) -> true
% 77.42/77.51  Current number of equations to process: 4730
% 77.42/77.51  Current number of ordered equations: 0
% 77.42/77.51  Current number of rules: 840
% 77.42/77.51  New rule produced :
% 77.42/77.51  [1809]
% 77.42/77.51  leq(multiplication(multiplication(forward_diamond(A,B),C),codomain(X0)),C) ->
% 77.52/77.67  true
% 77.52/77.67  Current number of equations to process: 4729
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 841
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1810]
% 77.52/77.67  leq(multiplication(multiplication(forward_diamond(A,B),C),coantidomain(X0)),C)
% 77.52/77.67  -> true
% 77.52/77.67  Current number of equations to process: 4728
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 842
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1811]
% 77.52/77.67  leq(multiplication(c(A),multiplication(forward_diamond(B,C),X0)),X0) -> true
% 77.52/77.67  Current number of equations to process: 4727
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 843
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1812]
% 77.52/77.67  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 77.52/77.67  -> true
% 77.52/77.67  Current number of equations to process: 4726
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 844
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1813]
% 77.52/77.67  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),X0)),X0)
% 77.52/77.67  -> true
% 77.52/77.67  Current number of equations to process: 4725
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 845
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1814]
% 77.52/77.67  multiplication(c(A addition B),multiplication(forward_diamond(C,X0),A)) ->
% 77.52/77.67  zero
% 77.52/77.67  Current number of equations to process: 4724
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 846
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1815]
% 77.52/77.67  leq(multiplication(backward_box(A,B),codomain(C)),one addition X0) -> true
% 77.52/77.67  Current number of equations to process: 4706
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 847
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1816]
% 77.52/77.67  leq(multiplication(backward_box(A,B),coantidomain(C)),one addition X0) ->
% 77.52/77.67  true
% 77.52/77.67  Current number of equations to process: 4705
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 848
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1817]
% 77.52/77.67  leq(multiplication(codomain(A),backward_box(B,C)),one addition X0) -> true
% 77.52/77.67  Current number of equations to process: 4704
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 849
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1818]
% 77.52/77.67  leq(multiplication(coantidomain(A),backward_box(B,C)),one addition X0) ->
% 77.52/77.67  true
% 77.52/77.67  Current number of equations to process: 4703
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 850
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1819]
% 77.52/77.67  multiplication(multiplication(A,codomain(B)),backward_diamond(C,X0)) addition A
% 77.52/77.67  -> A
% 77.52/77.67  Current number of equations to process: 4701
% 77.52/77.67  Current number of ordered equations: 1
% 77.52/77.67  Current number of rules: 851
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1820]
% 77.52/77.67  multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)) addition A
% 77.52/77.67  -> A
% 77.52/77.67  Current number of equations to process: 4701
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 852
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1821]
% 77.52/77.67  multiplication(multiplication(codomain(A),B),backward_diamond(C,X0)) addition B
% 77.52/77.67  -> B
% 77.52/77.67  Current number of equations to process: 4699
% 77.52/77.67  Current number of ordered equations: 1
% 77.52/77.67  Current number of rules: 853
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1822]
% 77.52/77.67  multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)) addition B
% 77.52/77.67  -> B
% 77.52/77.67  Current number of equations to process: 4699
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 854
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1823]
% 77.52/77.67  multiplication(multiplication(A,backward_diamond(B,C)),codomain(X0)) addition A
% 77.52/77.67  -> A
% 77.52/77.67  Current number of equations to process: 4697
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 855
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1824]
% 77.52/77.67  multiplication(codomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 77.52/77.67  -> A
% 77.52/77.67  Current number of equations to process: 4695
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 856
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1825]
% 77.52/77.67  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)) addition A
% 77.52/77.67  -> A
% 77.52/77.67  Current number of equations to process: 4693
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 857
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1826]
% 77.52/77.67  multiplication(coantidomain(B),multiplication(A,backward_diamond(C,X0))) addition A
% 77.52/77.67  -> A
% 77.52/77.67  Current number of equations to process: 4691
% 77.52/77.67  Current number of ordered equations: 0
% 77.52/77.67  Current number of rules: 858
% 77.52/77.67  New rule produced :
% 77.52/77.67  [1827]
% 77.52/77.67  leq(multiplication(multiplication(A,backward_diamond(B,C)),codomain(X0)),A)
% 77.52/77.67  -> true
% 77.52/77.67  Current number of equations to process: 4690
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 859
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1828]
% 77.73/77.84  leq(multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(X0)),A)
% 77.73/77.84  -> true
% 77.73/77.84  Current number of equations to process: 4689
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 860
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1829]
% 77.73/77.84  leq(multiplication(codomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 77.73/77.84  -> true
% 77.73/77.84  Current number of equations to process: 4688
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 861
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1830]
% 77.73/77.84  leq(multiplication(coantidomain(A),multiplication(B,backward_diamond(C,X0))),B)
% 77.73/77.84  -> true
% 77.73/77.84  Current number of equations to process: 4687
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 862
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1831]
% 77.73/77.84  multiplication(multiplication(A,backward_diamond(B,C)),coantidomain(A addition X0))
% 77.73/77.84  -> zero
% 77.73/77.84  Current number of equations to process: 4686
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 863
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1832]
% 77.73/77.84  multiplication(multiplication(A,backward_diamond(B,C)),c(X0)) addition A -> A
% 77.73/77.84  Current number of equations to process: 4684
% 77.73/77.84  Current number of ordered equations: 1
% 77.73/77.84  Current number of rules: 864
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1833]
% 77.73/77.84  multiplication(multiplication(A,c(B)),backward_diamond(C,X0)) addition A -> A
% 77.73/77.84  Current number of equations to process: 4684
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 865
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1834]
% 77.73/77.84  multiplication(multiplication(c(A),B),backward_diamond(C,X0)) addition B -> B
% 77.73/77.84  Current number of equations to process: 4682
% 77.73/77.84  Current number of ordered equations: 1
% 77.73/77.84  Current number of rules: 866
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1835]
% 77.73/77.84  multiplication(c(B),multiplication(A,backward_diamond(C,X0))) addition A -> A
% 77.73/77.84  Current number of equations to process: 4682
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 867
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1836]
% 77.73/77.84  multiplication(backward_diamond(A,B),multiplication(C,codomain(X0))) addition C
% 77.73/77.84  -> C
% 77.73/77.84  Current number of equations to process: 4680
% 77.73/77.84  Current number of ordered equations: 1
% 77.73/77.84  Current number of rules: 868
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1837]
% 77.73/77.84  multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))) addition C
% 77.73/77.84  -> C
% 77.73/77.84  Current number of equations to process: 4680
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 869
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1838]
% 77.73/77.84  multiplication(backward_diamond(A,B),multiplication(codomain(C),X0)) addition X0
% 77.73/77.84  -> X0
% 77.73/77.84  Current number of equations to process: 4678
% 77.73/77.84  Current number of ordered equations: 1
% 77.73/77.84  Current number of rules: 870
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1839]
% 77.73/77.84  multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)) addition X0
% 77.73/77.84  -> X0
% 77.73/77.84  Current number of equations to process: 4678
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 871
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1840]
% 77.73/77.84  multiplication(multiplication(backward_diamond(B,C),A),codomain(X0)) addition A
% 77.73/77.84  -> A
% 77.73/77.84  Current number of equations to process: 4676
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 872
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1841]
% 77.73/77.84  multiplication(codomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 77.73/77.84  -> A
% 77.73/77.84  Current number of equations to process: 4674
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 873
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1842]
% 77.73/77.84  multiplication(multiplication(backward_diamond(B,C),A),coantidomain(X0)) addition A
% 77.73/77.84  -> A
% 77.73/77.84  Current number of equations to process: 4672
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 874
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1843]
% 77.73/77.84  multiplication(coantidomain(B),multiplication(backward_diamond(C,X0),A)) addition A
% 77.73/77.84  -> A
% 77.73/77.84  Current number of equations to process: 4670
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 875
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1844]
% 77.73/77.84  leq(multiplication(multiplication(backward_diamond(A,B),C),codomain(X0)),C)
% 77.73/77.84  -> true
% 77.73/77.84  Current number of equations to process: 4669
% 77.73/77.84  Current number of ordered equations: 0
% 77.73/77.84  Current number of rules: 876
% 77.73/77.84  New rule produced :
% 77.73/77.84  [1845]
% 77.73/77.84  leq(multiplication(multiplication(backward_diamond(A,B),C),coantidomain(X0)),C)
% 77.73/77.84  -> true
% 77.73/77.84  Current number of equations to process: 4668
% 77.73/77.84  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 877
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1846]
% 77.93/78.00  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 77.93/78.00  -> true
% 77.93/78.00  Current number of equations to process: 4667
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 878
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1847]
% 77.93/78.00  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),X0)),X0)
% 77.93/78.00  -> true
% 77.93/78.00  Current number of equations to process: 4666
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 879
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1848]
% 77.93/78.00  multiplication(backward_diamond(A,B),multiplication(C,c(X0))) addition C -> C
% 77.93/78.00  Current number of equations to process: 4664
% 77.93/78.00  Current number of ordered equations: 1
% 77.93/78.00  Current number of rules: 880
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1849]
% 77.93/78.00  multiplication(multiplication(backward_diamond(B,C),A),c(X0)) addition A -> A
% 77.93/78.00  Current number of equations to process: 4664
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 881
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1850]
% 77.93/78.00  multiplication(backward_diamond(A,B),multiplication(c(C),X0)) addition X0 ->
% 77.93/78.00  X0
% 77.93/78.00  Current number of equations to process: 4662
% 77.93/78.00  Current number of ordered equations: 1
% 77.93/78.00  Current number of rules: 882
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1851]
% 77.93/78.00  multiplication(c(B),multiplication(backward_diamond(C,X0),A)) addition A -> A
% 77.93/78.00  Current number of equations to process: 4662
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 883
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1852]
% 77.93/78.00  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 77.93/78.00               codomain(C)) -> one
% 77.93/78.00  Current number of equations to process: 4661
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 884
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1853]
% 77.93/78.00  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 77.93/78.00                                          codomain(C))) -> one
% 77.93/78.00  Current number of equations to process: 4660
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 885
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1854]
% 77.93/78.00  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 77.93/78.00               coantidomain(C)) -> one
% 77.93/78.00  Current number of equations to process: 4659
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 886
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1855]
% 77.93/78.00  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 77.93/78.00                                              codomain(C))) -> one
% 77.93/78.00  Current number of equations to process: 4658
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 887
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1856]
% 77.93/78.00  leq(codomain(A) addition multiplication(coantidomain(B),codomain(C)),one) ->
% 77.93/78.00  true
% 77.93/78.00  Current number of equations to process: 4657
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 888
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1857]
% 77.93/78.00  leq(coantidomain(A) addition multiplication(coantidomain(B),codomain(C)),one)
% 77.93/78.00  -> true
% 77.93/78.00  Current number of equations to process: 4656
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 889
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1858]
% 77.93/78.00  leq(c(A) addition multiplication(coantidomain(B),codomain(C)),one) -> true
% 77.93/78.00  Current number of equations to process: 4655
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 890
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1859]
% 77.93/78.00  leq(multiplication(multiplication(coantidomain(A),codomain(B)),codomain(C)),one)
% 77.93/78.00  -> true
% 77.93/78.00  Current number of equations to process: 4654
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 891
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1860]
% 77.93/78.00  leq(multiplication(multiplication(coantidomain(A),codomain(B)),coantidomain(C)),one)
% 77.93/78.00  -> true
% 77.93/78.00  Current number of equations to process: 4653
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 892
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1861]
% 77.93/78.00  leq(multiplication(codomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 77.93/78.00  -> true
% 77.93/78.00  Current number of equations to process: 4652
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 893
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1862]
% 77.93/78.00  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(C))),one)
% 77.93/78.00  -> true
% 77.93/78.00  Current number of equations to process: 4651
% 77.93/78.00  Current number of ordered equations: 0
% 77.93/78.00  Current number of rules: 894
% 77.93/78.00  New rule produced :
% 77.93/78.00  [1863]
% 77.93/78.00  one addition multiplication(multiplication(coantidomain(A),codomain(B)),c(C))
% 78.24/78.35  -> one
% 78.24/78.35  Current number of equations to process: 4648
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 895
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1864]
% 78.24/78.35  one addition multiplication(c(A),multiplication(coantidomain(B),codomain(C)))
% 78.24/78.35  -> one
% 78.24/78.35  Current number of equations to process: 4647
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 896
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1865]
% 78.24/78.35  one addition multiplication(multiplication(codomain(A),codomain(B)),codomain(C))
% 78.24/78.35  -> one
% 78.24/78.35  Current number of equations to process: 4646
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 897
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1866]
% 78.24/78.35  one addition multiplication(codomain(A),multiplication(codomain(B),codomain(C)))
% 78.24/78.35  -> one
% 78.24/78.35  Current number of equations to process: 4645
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 898
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1867]
% 78.24/78.35  one addition multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C))
% 78.24/78.35  -> one
% 78.24/78.35  Current number of equations to process: 4644
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 899
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1868]
% 78.24/78.35  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 78.24/78.35                                              codomain(C))) -> one
% 78.24/78.35  Current number of equations to process: 4643
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 900
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1869]
% 78.24/78.35  leq(codomain(A) addition multiplication(codomain(B),codomain(C)),one) -> true
% 78.24/78.35  Current number of equations to process: 4642
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 901
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1870]
% 78.24/78.35  leq(coantidomain(A) addition multiplication(codomain(B),codomain(C)),one) ->
% 78.24/78.35  true
% 78.24/78.35  Current number of equations to process: 4641
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 902
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1871] leq(c(A) addition multiplication(codomain(B),codomain(C)),one) -> true
% 78.24/78.35  Current number of equations to process: 4640
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 903
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1872]
% 78.24/78.35  leq(multiplication(multiplication(codomain(A),codomain(B)),codomain(C)),one)
% 78.24/78.35  -> true
% 78.24/78.35  Current number of equations to process: 4639
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 904
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1873]
% 78.24/78.35  leq(multiplication(multiplication(codomain(A),codomain(B)),coantidomain(C)),one)
% 78.24/78.35  -> true
% 78.24/78.35  Current number of equations to process: 4638
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 905
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1874]
% 78.24/78.35  leq(multiplication(codomain(A),multiplication(codomain(B),codomain(C))),one)
% 78.24/78.35  -> true
% 78.24/78.35  Current number of equations to process: 4637
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 906
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1875]
% 78.24/78.35  leq(multiplication(coantidomain(A),multiplication(codomain(B),codomain(C))),one)
% 78.24/78.35  -> true
% 78.24/78.35  Current number of equations to process: 4636
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 907
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1876]
% 78.24/78.35  one addition multiplication(multiplication(codomain(A),codomain(B)),c(C)) ->
% 78.24/78.35  one
% 78.24/78.35  Current number of equations to process: 4633
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 908
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1877]
% 78.24/78.35  one addition multiplication(c(A),multiplication(codomain(B),codomain(C))) ->
% 78.24/78.35  one
% 78.24/78.35  Current number of equations to process: 4632
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 909
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1878]
% 78.24/78.35  one addition multiplication(multiplication(c(A),codomain(B)),codomain(C)) ->
% 78.24/78.35  one
% 78.24/78.35  Current number of equations to process: 4631
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 910
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1879]
% 78.24/78.35  one addition multiplication(codomain(A),multiplication(c(B),codomain(C))) ->
% 78.24/78.35  one
% 78.24/78.35  Current number of equations to process: 4630
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 911
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1880]
% 78.24/78.35  one addition multiplication(multiplication(c(A),codomain(B)),coantidomain(C))
% 78.24/78.35  -> one
% 78.24/78.35  Current number of equations to process: 4629
% 78.24/78.35  Current number of ordered equations: 0
% 78.24/78.35  Current number of rules: 912
% 78.24/78.35  New rule produced :
% 78.24/78.35  [1881]
% 78.24/78.35  one addition multiplication(coantidomain(A),multiplication(c(B),codomain(C)))
% 78.24/78.35  -> one
% 82.03/82.14  Current number of equations to process: 4628
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 913
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1882] leq(codomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 82.03/82.14  Current number of equations to process: 4627
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 914
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1883]
% 82.03/82.14  leq(coantidomain(A) addition multiplication(c(B),codomain(C)),one) -> true
% 82.03/82.14  Current number of equations to process: 4626
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 915
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1884] leq(c(A) addition multiplication(c(B),codomain(C)),one) -> true
% 82.03/82.14  Current number of equations to process: 4625
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 916
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1885]
% 82.03/82.14  leq(multiplication(multiplication(c(A),codomain(B)),codomain(C)),one) -> true
% 82.03/82.14  Current number of equations to process: 4624
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 917
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1886]
% 82.03/82.14  leq(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),one) ->
% 82.03/82.14  true
% 82.03/82.14  Current number of equations to process: 4623
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 918
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1887]
% 82.03/82.14  leq(multiplication(codomain(A),multiplication(c(B),codomain(C))),one) -> true
% 82.03/82.14  Current number of equations to process: 4622
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 919
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1888]
% 82.03/82.14  leq(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),one) ->
% 82.03/82.14  true
% 82.03/82.14  Current number of equations to process: 4621
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 920
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1889]
% 82.03/82.14  one addition multiplication(multiplication(c(A),codomain(B)),c(C)) -> one
% 82.03/82.14  Current number of equations to process: 4618
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 921
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1890]
% 82.03/82.14  one addition multiplication(c(A),multiplication(c(B),codomain(C))) -> one
% 82.03/82.14  Current number of equations to process: 4617
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 922
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1891]
% 82.03/82.14  multiplication(A,multiplication(forward_diamond(B,C),codomain(X0))) addition A
% 82.03/82.14  -> A
% 82.03/82.14  Current number of equations to process: 4616
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 923
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1892]
% 82.03/82.14  multiplication(multiplication(forward_diamond(B,C),codomain(X0)),A) addition A
% 82.03/82.14  -> A
% 82.03/82.14  Current number of equations to process: 4615
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 924
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1893]
% 82.03/82.14  forward_diamond(multiplication(multiplication(c(A),codomain(B)),codomain(C)),A)
% 82.03/82.14  -> zero
% 82.03/82.14  Current number of equations to process: 4820
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 925
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1894]
% 82.03/82.14  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 82.03/82.14                                               coantidomain(A))) -> zero
% 82.03/82.14  Current number of equations to process: 4819
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 926
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1895]
% 82.03/82.14  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 82.03/82.14               codomain(C)) -> one
% 82.03/82.14  Current number of equations to process: 4818
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 927
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1896]
% 82.03/82.14  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 82.03/82.14               codomain(C)) -> one
% 82.03/82.14  Current number of equations to process: 4817
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 928
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1897]
% 82.03/82.14  one addition multiplication(multiplication(c(A),coantidomain(B)),codomain(C))
% 82.03/82.14  -> one
% 82.03/82.14  Current number of equations to process: 4886
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 929
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1898]
% 82.03/82.14  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),A)
% 82.03/82.14  -> zero
% 82.03/82.14  Current number of equations to process: 2814
% 82.03/82.14  Current number of ordered equations: 0
% 82.03/82.14  Current number of rules: 930
% 82.03/82.14  New rule produced :
% 82.03/82.14  [1899]
% 82.03/82.14  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 82.03/82.14                                                   coantidomain(A))) -> zero
% 89.13/89.20  Current number of equations to process: 2813
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 931
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1900]
% 89.13/89.20  one addition multiplication(multiplication(codomain(A),c(B)),codomain(C)) ->
% 89.13/89.20  one
% 89.13/89.20  Current number of equations to process: 2883
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 932
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1901]
% 89.13/89.20  forward_diamond(multiplication(multiplication(codomain(A),c(B)),codomain(C)),B)
% 89.13/89.20  -> zero
% 89.13/89.20  Current number of equations to process: 3030
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 933
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1902]
% 89.13/89.20  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 89.13/89.20                                               coantidomain(B))) -> zero
% 89.13/89.20  Current number of equations to process: 3029
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 934
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1903]
% 89.13/89.20  one addition multiplication(multiplication(coantidomain(A),c(B)),codomain(C))
% 89.13/89.20  -> one
% 89.13/89.20  Current number of equations to process: 3099
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 935
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1904]
% 89.13/89.20  multiplication(A,multiplication(codomain(B),coantidomain(C))) addition A -> A
% 89.13/89.20  Current number of equations to process: 3229
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 936
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1905]
% 89.13/89.20  multiplication(multiplication(codomain(B),coantidomain(C)),A) addition A -> A
% 89.13/89.20  Current number of equations to process: 3228
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 937
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1906] multiplication(A,multiplication(codomain(B),c(C))) addition A -> A
% 89.13/89.20  Current number of equations to process: 3479
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 938
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1907] multiplication(multiplication(codomain(B),c(C)),A) addition A -> A
% 89.13/89.20  Current number of equations to process: 3478
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 939
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1908]
% 89.13/89.20  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),B)
% 89.13/89.20  -> zero
% 89.13/89.20  Current number of equations to process: 3758
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 940
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1909]
% 89.13/89.20  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 89.13/89.20                                                   coantidomain(B))) -> zero
% 89.13/89.20  Current number of equations to process: 3757
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 941
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1910]
% 89.13/89.20  one addition multiplication(codomain(A),multiplication(codomain(B),coantidomain(C)))
% 89.13/89.20  -> one
% 89.13/89.20  Current number of equations to process: 3756
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 942
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1911]
% 89.13/89.20  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 89.13/89.20               coantidomain(C)) -> one
% 89.13/89.20  Current number of equations to process: 3755
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 943
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1912]
% 89.13/89.20  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 89.13/89.20                                              coantidomain(C))) -> one
% 89.13/89.20  Current number of equations to process: 3754
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 944
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1913]
% 89.13/89.20  leq(codomain(A) addition multiplication(codomain(B),coantidomain(C)),one) ->
% 89.13/89.20  true
% 89.13/89.20  Current number of equations to process: 3753
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 945
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1914]
% 89.13/89.20  leq(coantidomain(A) addition multiplication(codomain(B),coantidomain(C)),one)
% 89.13/89.20  -> true
% 89.13/89.20  Current number of equations to process: 3752
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 946
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1915]
% 89.13/89.20  leq(c(A) addition multiplication(codomain(B),coantidomain(C)),one) -> true
% 89.13/89.20  Current number of equations to process: 3751
% 89.13/89.20  Current number of ordered equations: 0
% 89.13/89.20  Current number of rules: 947
% 89.13/89.20  New rule produced :
% 89.13/89.20  [1916]
% 89.13/89.20  leq(multiplication(multiplication(codomain(A),coantidomain(B)),codomain(C)),one)
% 89.13/89.20  -> true
% 89.13/89.20  Current number of equations to process: 3750
% 89.13/89.20  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 948
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1917]
% 89.24/89.39  leq(multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(C)),one)
% 89.24/89.39  -> true
% 89.24/89.39  Current number of equations to process: 3749
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 949
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1918]
% 89.24/89.39  leq(multiplication(codomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 89.24/89.39  -> true
% 89.24/89.39  Current number of equations to process: 3748
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 950
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1919]
% 89.24/89.39  leq(multiplication(coantidomain(A),multiplication(codomain(B),coantidomain(C))),one)
% 89.24/89.39  -> true
% 89.24/89.39  Current number of equations to process: 3747
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 951
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1920]
% 89.24/89.39  one addition multiplication(multiplication(codomain(A),coantidomain(B)),c(C))
% 89.24/89.39  -> one
% 89.24/89.39  Current number of equations to process: 3744
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 952
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1921]
% 89.24/89.39  one addition multiplication(c(A),multiplication(codomain(B),coantidomain(C)))
% 89.24/89.39  -> one
% 89.24/89.39  Current number of equations to process: 3743
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 953
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1922]
% 89.24/89.39  multiplication(A,multiplication(backward_diamond(B,C),codomain(X0))) addition A
% 89.24/89.39  -> A
% 89.24/89.39  Current number of equations to process: 3742
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 954
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1923]
% 89.24/89.39  multiplication(multiplication(backward_diamond(B,C),codomain(X0)),A) addition A
% 89.24/89.39  -> A
% 89.24/89.39  Current number of equations to process: 3741
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 955
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1924]
% 89.24/89.39  one addition multiplication(codomain(A),multiplication(codomain(B),c(C))) ->
% 89.24/89.39  one
% 89.24/89.39  Current number of equations to process: 3740
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 956
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1925]
% 89.24/89.39  one addition multiplication(multiplication(codomain(A),c(B)),coantidomain(C))
% 89.24/89.39  -> one
% 89.24/89.39  Current number of equations to process: 3739
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 957
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1926]
% 89.24/89.39  one addition multiplication(coantidomain(A),multiplication(codomain(B),c(C)))
% 89.24/89.39  -> one
% 89.24/89.39  Current number of equations to process: 3738
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 958
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1927] leq(codomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 89.24/89.39  Current number of equations to process: 3737
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 959
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1928]
% 89.24/89.39  leq(coantidomain(A) addition multiplication(codomain(B),c(C)),one) -> true
% 89.24/89.39  Current number of equations to process: 3736
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 960
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1929] leq(c(A) addition multiplication(codomain(B),c(C)),one) -> true
% 89.24/89.39  Current number of equations to process: 3735
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 961
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1930]
% 89.24/89.39  leq(multiplication(multiplication(codomain(A),c(B)),codomain(C)),one) -> true
% 89.24/89.39  Current number of equations to process: 3734
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 962
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1931]
% 89.24/89.39  leq(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),one) ->
% 89.24/89.39  true
% 89.24/89.39  Current number of equations to process: 3733
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 963
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1932]
% 89.24/89.39  leq(multiplication(codomain(A),multiplication(codomain(B),c(C))),one) -> true
% 89.24/89.39  Current number of equations to process: 3732
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 964
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1933]
% 89.24/89.39  leq(multiplication(coantidomain(A),multiplication(codomain(B),c(C))),one) ->
% 89.24/89.39  true
% 89.24/89.39  Current number of equations to process: 3731
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 965
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1934]
% 89.24/89.39  one addition multiplication(multiplication(codomain(A),c(B)),c(C)) -> one
% 89.24/89.39  Current number of equations to process: 3728
% 89.24/89.39  Current number of ordered equations: 0
% 89.24/89.39  Current number of rules: 966
% 89.24/89.39  New rule produced :
% 89.24/89.39  [1935]
% 89.24/89.39  one addition multiplication(c(A),multiplication(codomain(B),c(C))) -> one
% 101.41/101.50  Current number of equations to process: 3727
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 967
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1936]
% 101.41/101.50  multiplication(A,multiplication(codomain(B),forward_diamond(C,X0))) addition A
% 101.41/101.50  -> A
% 101.41/101.50  Current number of equations to process: 3726
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 968
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1937]
% 101.41/101.50  multiplication(multiplication(codomain(B),forward_diamond(C,X0)),A) addition A
% 101.41/101.50  -> A
% 101.41/101.50  Current number of equations to process: 3725
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 969
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1938]
% 101.41/101.50  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 101.41/101.50                                          coantidomain(C))) -> one
% 101.41/101.50  Current number of equations to process: 3724
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 970
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1939]
% 101.41/101.50  one addition multiplication(codomain(A),multiplication(c(B),coantidomain(C)))
% 101.41/101.50  -> one
% 101.41/101.50  Current number of equations to process: 3792
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 971
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1940]
% 101.41/101.50  forward_diamond(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),B)
% 101.41/101.50  -> zero
% 101.41/101.50  Current number of equations to process: 3955
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 972
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1941]
% 101.41/101.50  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 101.41/101.50                                               coantidomain(B))) -> zero
% 101.41/101.50  Current number of equations to process: 3954
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 973
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1942]
% 101.41/101.50  forward_diamond(multiplication(codomain(A),multiplication(c(B),codomain(C))),B)
% 101.41/101.50  -> zero
% 101.41/101.50  Current number of equations to process: 4189
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 974
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1943]
% 101.41/101.50  one addition multiplication(codomain(A),multiplication(coantidomain(B),c(C)))
% 101.41/101.50  -> one
% 101.41/101.50  Current number of equations to process: 4497
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 975
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1944]
% 101.41/101.50  multiplication(A,multiplication(coantidomain(B),coantidomain(C))) addition A
% 101.41/101.50  -> A
% 101.41/101.50  Current number of equations to process: 4786
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 976
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1945]
% 101.41/101.50  multiplication(multiplication(coantidomain(B),coantidomain(C)),A) addition A
% 101.41/101.50  -> A
% 101.41/101.50  Current number of equations to process: 4785
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 977
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1946] multiplication(A,multiplication(c(B),coantidomain(C))) addition A -> A
% 101.41/101.50  Current number of equations to process: 4907
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 978
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1947] multiplication(multiplication(c(B),coantidomain(C)),A) addition A -> A
% 101.41/101.50  Current number of equations to process: 4906
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 979
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1948]
% 101.41/101.50  multiplication(A,multiplication(codomain(B),backward_diamond(C,X0))) addition A
% 101.41/101.50  -> A
% 101.41/101.50  Current number of equations to process: 2286
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 980
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1949]
% 101.41/101.50  multiplication(multiplication(codomain(B),backward_diamond(C,X0)),A) addition A
% 101.41/101.50  -> A
% 101.41/101.50  Current number of equations to process: 2285
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 981
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1950]
% 101.41/101.50  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 101.41/101.50               coantidomain(C)) -> one
% 101.41/101.50  Current number of equations to process: 2284
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 982
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1951]
% 101.41/101.50  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 101.41/101.50                                              coantidomain(C))) -> one
% 101.41/101.50  Current number of equations to process: 2283
% 101.41/101.50  Current number of ordered equations: 0
% 101.41/101.50  Current number of rules: 983
% 101.41/101.50  New rule produced :
% 101.41/101.50  [1952]
% 101.41/101.50  leq(codomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 101.41/101.50  -> true
% 101.41/101.50  Current number of equations to process: 2282
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 984
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1953]
% 101.72/101.81  leq(coantidomain(A) addition multiplication(coantidomain(B),coantidomain(C)),one)
% 101.72/101.81  -> true
% 101.72/101.81  Current number of equations to process: 2281
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 985
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1954]
% 101.72/101.81  leq(c(A) addition multiplication(coantidomain(B),coantidomain(C)),one) ->
% 101.72/101.81  true
% 101.72/101.81  Current number of equations to process: 2280
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 986
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1955]
% 101.72/101.81  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),codomain(C)),one)
% 101.72/101.81  -> true
% 101.72/101.81  Current number of equations to process: 2279
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 987
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1956]
% 101.72/101.81  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),coantidomain(C)),one)
% 101.72/101.81  -> true
% 101.72/101.81  Current number of equations to process: 2278
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 988
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1957]
% 101.72/101.81  leq(multiplication(codomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 101.72/101.81  -> true
% 101.72/101.81  Current number of equations to process: 2277
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 989
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1958]
% 101.72/101.81  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),coantidomain(C))),one)
% 101.72/101.81  -> true
% 101.72/101.81  Current number of equations to process: 2276
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 990
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1959]
% 101.72/101.81  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 101.72/101.81               c(C)) -> one
% 101.72/101.81  Current number of equations to process: 2273
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 991
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1960]
% 101.72/101.81  one addition multiplication(c(A),multiplication(coantidomain(B),coantidomain(C)))
% 101.72/101.81  -> one
% 101.72/101.81  Current number of equations to process: 2272
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 992
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1961]
% 101.72/101.81  one addition multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C))
% 101.72/101.81  -> one
% 101.72/101.81  Current number of equations to process: 2271
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 993
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1962]
% 101.72/101.81  one addition multiplication(coantidomain(A),multiplication(c(B),coantidomain(C)))
% 101.72/101.81  -> one
% 101.72/101.81  Current number of equations to process: 2270
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 994
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1963]
% 101.72/101.81  leq(codomain(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 101.72/101.81  Current number of equations to process: 2269
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 995
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1964]
% 101.72/101.81  leq(coantidomain(A) addition multiplication(c(B),coantidomain(C)),one) ->
% 101.72/101.81  true
% 101.72/101.81  Current number of equations to process: 2268
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 996
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1965] leq(c(A) addition multiplication(c(B),coantidomain(C)),one) -> true
% 101.72/101.81  Current number of equations to process: 2267
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 997
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1966]
% 101.72/101.81  leq(multiplication(multiplication(c(A),coantidomain(B)),codomain(C)),one) ->
% 101.72/101.81  true
% 101.72/101.81  Current number of equations to process: 2266
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 998
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1967]
% 101.72/101.81  leq(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),one)
% 101.72/101.81  -> true
% 101.72/101.81  Current number of equations to process: 2265
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 999
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1968]
% 101.72/101.81  leq(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),one) ->
% 101.72/101.81  true
% 101.72/101.81  Current number of equations to process: 2264
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 1000
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1969]
% 101.72/101.81  leq(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),one)
% 101.72/101.81  -> true
% 101.72/101.81  Current number of equations to process: 2263
% 101.72/101.81  Current number of ordered equations: 0
% 101.72/101.81  Current number of rules: 1001
% 101.72/101.81  New rule produced :
% 101.72/101.81  [1970]
% 101.72/101.81  one addition multiplication(multiplication(c(A),coantidomain(B)),c(C)) -> one
% 101.72/101.81  Current number of equations to process: 2260
% 101.72/101.81  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1002
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1971]
% 114.73/114.90  one addition multiplication(c(A),multiplication(c(B),coantidomain(C))) -> one
% 114.73/114.90  Current number of equations to process: 2259
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1003
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1972]
% 114.73/114.90  multiplication(A,multiplication(forward_diamond(B,C),coantidomain(X0))) addition A
% 114.73/114.90  -> A
% 114.73/114.90  Current number of equations to process: 2258
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1004
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1973]
% 114.73/114.90  multiplication(multiplication(forward_diamond(B,C),coantidomain(X0)),A) addition A
% 114.73/114.90  -> A
% 114.73/114.90  Current number of equations to process: 2257
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1005
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1974]
% 114.73/114.90  forward_diamond(multiplication(multiplication(c(A),codomain(B)),coantidomain(C)),A)
% 114.73/114.90  -> zero
% 114.73/114.90  Current number of equations to process: 2512
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1006
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1975]
% 114.73/114.90  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 114.73/114.90                                               coantidomain(A))) -> zero
% 114.73/114.90  Current number of equations to process: 2511
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1007
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1976]
% 114.73/114.90  forward_diamond(multiplication(multiplication(c(A),coantidomain(B)),coantidomain(C)),A)
% 114.73/114.90  -> zero
% 114.73/114.90  Current number of equations to process: 2769
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1008
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1977]
% 114.73/114.90  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 114.73/114.90                                                   coantidomain(A))) -> zero
% 114.73/114.90  Current number of equations to process: 2768
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1009
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1978]
% 114.73/114.90  forward_diamond(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),B)
% 114.73/114.90  -> zero
% 114.73/114.90  Current number of equations to process: 3031
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1010
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1979]
% 114.73/114.90  one addition multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C))
% 114.73/114.90  -> one
% 114.73/114.90  Current number of equations to process: 3101
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1011
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1980] multiplication(A,multiplication(coantidomain(B),c(C))) addition A -> A
% 114.73/114.90  Current number of equations to process: 3426
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1012
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1981] multiplication(multiplication(coantidomain(B),c(C)),A) addition A -> A
% 114.73/114.90  Current number of equations to process: 3425
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1013
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1982]
% 114.73/114.90  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),B)
% 114.73/114.90  -> zero
% 114.73/114.90  Current number of equations to process: 3720
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1014
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1983]
% 114.73/114.90  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 114.73/114.90                                                   coantidomain(B))) -> zero
% 114.73/114.90  Current number of equations to process: 3719
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1015
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1984]
% 114.73/114.90  multiplication(A,multiplication(backward_diamond(B,C),coantidomain(X0))) addition A
% 114.73/114.90  -> A
% 114.73/114.90  Current number of equations to process: 3718
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1016
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1985]
% 114.73/114.90  multiplication(multiplication(backward_diamond(B,C),coantidomain(X0)),A) addition A
% 114.73/114.90  -> A
% 114.73/114.90  Current number of equations to process: 3717
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1017
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1986]
% 114.73/114.90  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 114.73/114.90                                              c(C))) -> one
% 114.73/114.90  Current number of equations to process: 3716
% 114.73/114.90  Current number of ordered equations: 0
% 114.73/114.90  Current number of rules: 1018
% 114.73/114.90  New rule produced :
% 114.73/114.90  [1987]
% 114.73/114.90  leq(codomain(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 114.73/114.90  Current number of equations to process: 3715
% 114.73/114.90  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1019
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1988]
% 126.85/126.99  leq(coantidomain(A) addition multiplication(coantidomain(B),c(C)),one) ->
% 126.85/126.99  true
% 126.85/126.99  Current number of equations to process: 3714
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1020
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1989] leq(c(A) addition multiplication(coantidomain(B),c(C)),one) -> true
% 126.85/126.99  Current number of equations to process: 3713
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1021
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1990]
% 126.85/126.99  leq(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),one) ->
% 126.85/126.99  true
% 126.85/126.99  Current number of equations to process: 3712
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1022
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1991]
% 126.85/126.99  leq(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),one)
% 126.85/126.99  -> true
% 126.85/126.99  Current number of equations to process: 3711
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1023
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1992]
% 126.85/126.99  leq(multiplication(codomain(A),multiplication(coantidomain(B),c(C))),one) ->
% 126.85/126.99  true
% 126.85/126.99  Current number of equations to process: 3710
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1024
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1993]
% 126.85/126.99  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),c(C))),one)
% 126.85/126.99  -> true
% 126.85/126.99  Current number of equations to process: 3709
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1025
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1994]
% 126.85/126.99  one addition multiplication(multiplication(coantidomain(A),c(B)),c(C)) -> one
% 126.85/126.99  Current number of equations to process: 3706
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1026
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1995]
% 126.85/126.99  one addition multiplication(c(A),multiplication(coantidomain(B),c(C))) -> one
% 126.85/126.99  Current number of equations to process: 3705
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1027
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1996]
% 126.85/126.99  multiplication(A,multiplication(coantidomain(B),forward_diamond(C,X0))) addition A
% 126.85/126.99  -> A
% 126.85/126.99  Current number of equations to process: 3704
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1028
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1997]
% 126.85/126.99  multiplication(multiplication(coantidomain(B),forward_diamond(C,X0)),A) addition A
% 126.85/126.99  -> A
% 126.85/126.99  Current number of equations to process: 3703
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1029
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1998]
% 126.85/126.99  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),B)
% 126.85/126.99  -> zero
% 126.85/126.99  Current number of equations to process: 3980
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1030
% 126.85/126.99  New rule produced :
% 126.85/126.99  [1999]
% 126.85/126.99  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),B)
% 126.85/126.99  -> zero
% 126.85/126.99  Current number of equations to process: 4261
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1031
% 126.85/126.99  New rule produced :
% 126.85/126.99  [2000]
% 126.85/126.99  multiplication(A,multiplication(coantidomain(B),backward_diamond(C,X0))) addition A
% 126.85/126.99  -> A
% 126.85/126.99  Current number of equations to process: 4973
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1032
% 126.85/126.99  New rule produced :
% 126.85/126.99  [2001]
% 126.85/126.99  multiplication(multiplication(coantidomain(B),backward_diamond(C,X0)),A) addition A
% 126.85/126.99  -> A
% 126.85/126.99  Current number of equations to process: 4972
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1033
% 126.85/126.99  New rule produced :
% 126.85/126.99  [2002]
% 126.85/126.99  backward_box(A,multiplication(B,c(C))) ->
% 126.85/126.99  backward_box(A,forward_diamond(B,c(C)))
% 126.85/126.99  Rule
% 126.85/126.99  [859]
% 126.85/126.99  backward_box(A,multiplication(B,c(C))) <->
% 126.85/126.99  c(backward_diamond(A,c(forward_diamond(B,c(C))))) collapsed.
% 126.85/126.99  Rule
% 126.85/126.99  [1731]
% 126.85/126.99  backward_box(A,multiplication(B,c(c(C)))) ->
% 126.85/126.99  backward_box(A,forward_diamond(B,C)) collapsed.
% 126.85/126.99  Current number of equations to process: 4979
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1032
% 126.85/126.99  New rule produced :
% 126.85/126.99  [2003]
% 126.85/126.99  multiplication(c(backward_diamond(A,B)),coantidomain(backward_diamond(A,B)))
% 126.85/126.99  -> c(backward_diamond(A,B))
% 126.85/126.99  Current number of equations to process: 4978
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1033
% 126.85/126.99  New rule produced :
% 126.85/126.99  [2004] leq(c(multiplication(A,B)),c(forward_diamond(A,B))) -> true
% 126.85/126.99  Current number of equations to process: 4977
% 126.85/126.99  Current number of ordered equations: 0
% 126.85/126.99  Current number of rules: 1034
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2005]
% 133.36/133.45  multiplication(c(c(A)),multiplication(coantidomain(c(A)),B)) ->
% 133.36/133.45  multiplication(coantidomain(c(A)),B)
% 133.36/133.45  Current number of equations to process: 4976
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1035
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2006] c(B) addition multiplication(c(A),c(c(B))) -> c(A) addition c(B)
% 133.36/133.45  Rule
% 133.36/133.45  [1203]
% 133.36/133.45  c(A) addition multiplication(c(c(B)),c(c(A))) ->
% 133.36/133.45  c(c(B)) addition multiplication(c(B),c(A)) collapsed.
% 133.36/133.45  Current number of equations to process: 4976
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1035
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2007]
% 133.36/133.45  c(A) addition multiplication(c(c(A)),coantidomain(B)) ->
% 133.36/133.45  c(A) addition coantidomain(B)
% 133.36/133.45  Current number of equations to process: 4975
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1036
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2008]
% 133.36/133.45  coantidomain(codomain(A) addition B) addition coantidomain(A) ->
% 133.36/133.45  coantidomain(A)
% 133.36/133.45  Current number of equations to process: 3441
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1037
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2009]
% 133.36/133.45  backward_diamond(one addition multiplication(codomain(B),A),B) ->
% 133.36/133.45  backward_diamond(one addition A,B)
% 133.36/133.45  Current number of equations to process: 3523
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1038
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2010]
% 133.36/133.45  multiplication(A,multiplication(B,c(C))) addition multiplication(A,B) ->
% 133.36/133.45  multiplication(A,B)
% 133.36/133.45  Rule
% 133.36/133.45  [1251]
% 133.36/133.45  multiplication(A,multiplication(B,c(c(C)))) addition multiplication(A,B) ->
% 133.36/133.45  multiplication(A,B) collapsed.
% 133.36/133.45  Current number of equations to process: 3522
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1038
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2011]
% 133.36/133.45  multiplication(multiplication(A,c(C)),B) addition multiplication(A,B) ->
% 133.36/133.45  multiplication(A,B)
% 133.36/133.45  Rule
% 133.36/133.45  [1252]
% 133.36/133.45  multiplication(multiplication(A,c(c(C))),B) addition multiplication(A,B) ->
% 133.36/133.45  multiplication(A,B) collapsed.
% 133.36/133.45  Current number of equations to process: 3521
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1038
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2012] c(A) addition multiplication(c(c(A)),c(B)) -> c(A) addition c(B)
% 133.36/133.45  Current number of equations to process: 3520
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1039
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2013]
% 133.36/133.45  multiplication(multiplication(c(A),B),C) addition multiplication(B,C) ->
% 133.36/133.45  multiplication(B,C)
% 133.36/133.45  Rule
% 133.36/133.45  [1254]
% 133.36/133.45  multiplication(multiplication(c(c(A)),B),C) addition multiplication(B,C) ->
% 133.36/133.45  multiplication(B,C) collapsed.
% 133.36/133.45  Current number of equations to process: 3518
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1039
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2014]
% 133.36/133.45  multiplication(A,multiplication(c(C),B)) addition multiplication(A,B) ->
% 133.36/133.45  multiplication(A,B)
% 133.36/133.45  Rule
% 133.36/133.45  [1255]
% 133.36/133.45  multiplication(A,multiplication(c(c(C)),B)) addition multiplication(A,B) ->
% 133.36/133.45  multiplication(A,B) collapsed.
% 133.36/133.45  Current number of equations to process: 3517
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1039
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2015]
% 133.36/133.45  c(B) addition multiplication(c(c(B)),codomain(A)) ->
% 133.36/133.45  c(B) addition codomain(A)
% 133.36/133.45  Current number of equations to process: 3516
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1040
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2016] c(forward_diamond(c(A),multiplication(c(c(A)),B))) -> one
% 133.36/133.45  Current number of equations to process: 3514
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1041
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2017] leq(c(A) addition multiplication(c(B),C),one addition C) -> true
% 133.36/133.45  Current number of equations to process: 3513
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1042
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2018]
% 133.36/133.45  leq(codomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 133.36/133.45  Current number of equations to process: 3512
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1043
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2019]
% 133.36/133.45  leq(codomain(A) addition multiplication(c(B),C),one addition C) -> true
% 133.36/133.45  Current number of equations to process: 3511
% 133.36/133.45  Current number of ordered equations: 0
% 133.36/133.45  Current number of rules: 1044
% 133.36/133.45  New rule produced :
% 133.36/133.45  [2020]
% 133.36/133.45  leq(coantidomain(A) addition multiplication(B,c(C)),one addition B) -> true
% 133.36/133.45  Current number of equations to process: 3510
% 133.36/133.45  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1045
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2021]
% 133.74/133.87  leq(coantidomain(A) addition multiplication(c(B),C),one addition C) -> true
% 133.74/133.87  Current number of equations to process: 3509
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1046
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2022] leq(c(A) addition multiplication(B,c(C)),one addition B) -> true
% 133.74/133.87  Current number of equations to process: 3508
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1047
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2023]
% 133.74/133.87  leq(multiplication(multiplication(A,codomain(B)),c(C)),A addition X0) -> true
% 133.74/133.87  Current number of equations to process: 3506
% 133.74/133.87  Current number of ordered equations: 1
% 133.74/133.87  Current number of rules: 1048
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2024]
% 133.74/133.87  leq(multiplication(multiplication(A,coantidomain(B)),c(C)),A addition X0) ->
% 133.74/133.87  true
% 133.74/133.87  Current number of equations to process: 3506
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1049
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2025]
% 133.74/133.87  leq(multiplication(multiplication(codomain(A),B),c(C)),B addition X0) -> true
% 133.74/133.87  Current number of equations to process: 3504
% 133.74/133.87  Current number of ordered equations: 1
% 133.74/133.87  Current number of rules: 1050
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2026]
% 133.74/133.87  leq(multiplication(multiplication(coantidomain(A),B),c(C)),B addition X0) ->
% 133.74/133.87  true
% 133.74/133.87  Current number of equations to process: 3504
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1051
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2027] leq(multiplication(multiplication(A,c(B)),c(C)),A addition X0) -> true
% 133.74/133.87  Current number of equations to process: 3503
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1052
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2028] leq(multiplication(multiplication(c(A),B),c(C)),B addition X0) -> true
% 133.74/133.87  Current number of equations to process: 3502
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1053
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2029]
% 133.74/133.87  multiplication(multiplication(c(codomain(A)),B),coantidomain(backward_diamond(B,
% 133.74/133.87                                                               coantidomain(A))))
% 133.74/133.87  -> zero
% 133.74/133.87  Current number of equations to process: 3501
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1054
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2030]
% 133.74/133.87  multiplication(c(coantidomain(backward_diamond(A,B))),backward_diamond(A,B))
% 133.74/133.87  -> c(coantidomain(backward_diamond(A,B)))
% 133.74/133.87  Current number of equations to process: 3500
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1055
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2031] leq(multiplication(A,c(B)) addition multiplication(A,c(C)),A) -> true
% 133.74/133.87  Current number of equations to process: 3499
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1056
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2032] leq(multiplication(c(A),B) addition multiplication(B,c(C)),B) -> true
% 133.74/133.87  Current number of equations to process: 3498
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1057
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2033]
% 133.74/133.87  leq(multiplication(A,c(C)) addition multiplication(A,codomain(B)),A) -> true
% 133.74/133.87  Current number of equations to process: 3497
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1058
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2034]
% 133.74/133.87  leq(multiplication(codomain(A),B) addition multiplication(B,c(C)),B) -> true
% 133.74/133.87  Current number of equations to process: 3496
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1059
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2035]
% 133.74/133.87  leq(multiplication(A,c(C)) addition multiplication(A,coantidomain(B)),A) ->
% 133.74/133.87  true
% 133.74/133.87  Current number of equations to process: 3495
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1060
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2036]
% 133.74/133.87  leq(multiplication(coantidomain(A),B) addition multiplication(B,c(C)),B) ->
% 133.74/133.87  true
% 133.74/133.87  Current number of equations to process: 3494
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1061
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2037]
% 133.74/133.87  leq(multiplication(multiplication(A,c(B)),codomain(C)),A addition X0) -> true
% 133.74/133.87  Current number of equations to process: 3493
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1062
% 133.74/133.87  New rule produced :
% 133.74/133.87  [2038]
% 133.74/133.87  leq(multiplication(multiplication(c(A),B),codomain(C)),B addition X0) -> true
% 133.74/133.87  Current number of equations to process: 3492
% 133.74/133.87  Current number of ordered equations: 0
% 133.74/133.87  Current number of rules: 1063
% 133.74/133.87  New rule produced :
% 134.12/134.23  [2039]
% 134.12/134.23  leq(multiplication(multiplication(A,c(B)),coantidomain(C)),A addition X0) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3491
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1064
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2040]
% 134.12/134.23  leq(multiplication(multiplication(c(A),B),coantidomain(C)),B addition X0) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3490
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1065
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2041]
% 134.12/134.23  leq(multiplication(c(A),B) addition multiplication(B,codomain(C)),B) -> true
% 134.12/134.23  Current number of equations to process: 3489
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1066
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2042]
% 134.12/134.23  leq(multiplication(c(A),B) addition multiplication(B,coantidomain(C)),B) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3488
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1067
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2043]
% 134.12/134.23  leq(multiplication(c(A),multiplication(B,codomain(C))),B addition X0) -> true
% 134.12/134.23  Current number of equations to process: 3486
% 134.12/134.23  Current number of ordered equations: 1
% 134.12/134.23  Current number of rules: 1068
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2044]
% 134.12/134.23  leq(multiplication(c(A),multiplication(B,coantidomain(C))),B addition X0) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3486
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1069
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2045]
% 134.12/134.23  leq(multiplication(c(A),multiplication(codomain(B),C)),C addition X0) -> true
% 134.12/134.23  Current number of equations to process: 3484
% 134.12/134.23  Current number of ordered equations: 1
% 134.12/134.23  Current number of rules: 1070
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2046]
% 134.12/134.23  leq(multiplication(c(A),multiplication(coantidomain(B),C)),C addition X0) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3484
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1071
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2047] leq(multiplication(c(A),multiplication(B,c(C))),B addition X0) -> true
% 134.12/134.23  Current number of equations to process: 3483
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1072
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2048] leq(multiplication(c(A),multiplication(c(B),C)),C addition X0) -> true
% 134.12/134.23  Current number of equations to process: 3482
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1073
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2049] leq(multiplication(c(A),B) addition multiplication(c(C),B),B) -> true
% 134.12/134.23  Current number of equations to process: 3481
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1074
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2050]
% 134.12/134.23  leq(multiplication(c(C),B) addition multiplication(codomain(A),B),B) -> true
% 134.12/134.23  Current number of equations to process: 3480
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1075
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2051]
% 134.12/134.23  leq(multiplication(c(C),B) addition multiplication(coantidomain(A),B),B) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3479
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1076
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2052]
% 134.12/134.23  leq(multiplication(codomain(A),multiplication(B,c(C))),B addition X0) -> true
% 134.12/134.23  Current number of equations to process: 3478
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1077
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2053]
% 134.12/134.23  leq(multiplication(codomain(A),multiplication(c(B),C)),C addition X0) -> true
% 134.12/134.23  Current number of equations to process: 3477
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1078
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2054]
% 134.12/134.23  leq(multiplication(coantidomain(A),multiplication(B,c(C))),B addition X0) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3476
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1079
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2055]
% 134.12/134.23  leq(multiplication(coantidomain(A),multiplication(c(B),C)),C addition X0) ->
% 134.12/134.23  true
% 134.12/134.23  Current number of equations to process: 3475
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1080
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2056] leq(multiplication(c(A),c(B)) addition C,one addition C) -> true
% 134.12/134.23  Current number of equations to process: 3474
% 134.12/134.23  Current number of ordered equations: 0
% 134.12/134.23  Current number of rules: 1081
% 134.12/134.23  New rule produced :
% 134.12/134.23  [2057]
% 134.12/134.23  c(forward_diamond(multiplication(A,B),multiplication(multiplication(coantidomain(B),C),
% 134.12/134.23                                        c(c(X0))))) -> one
% 134.45/134.54  Current number of equations to process: 3472
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1082
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2058]
% 134.45/134.54  c(forward_diamond(multiplication(A,c(B)),multiplication(multiplication(B,C),
% 134.45/134.54                                           c(c(X0))))) -> one
% 134.45/134.54  Current number of equations to process: 3471
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1083
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2059]
% 134.45/134.54  forward_diamond(A,B) addition c(forward_diamond(A,multiplication(codomain(A),
% 134.45/134.54                                                    c(c(B))))) -> one
% 134.45/134.54  Current number of equations to process: 3470
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1084
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2060]
% 134.45/134.54  coantidomain(backward_diamond(multiplication(A,multiplication(B,C)),c(
% 134.45/134.54                                                                      multiplication(A,B))))
% 134.45/134.54  -> one
% 134.45/134.54  Current number of equations to process: 3469
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1085
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2061]
% 134.45/134.54  coantidomain(backward_diamond(multiplication(A,B),multiplication(C,multiplication(X0,
% 134.45/134.54                                                                     c(A)))))
% 134.45/134.54  -> one
% 134.45/134.54  Current number of equations to process: 3468
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1086
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2062]
% 134.45/134.54  coantidomain(backward_diamond(multiplication(A,B),multiplication(c(multiplication(C,A)),C)))
% 134.45/134.54  -> one
% 134.45/134.54  Current number of equations to process: 3467
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1087
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2063]
% 134.45/134.54  coantidomain(backward_diamond(multiplication(multiplication(A,B),C),multiplication(X0,
% 134.45/134.54                                                                      c(A))))
% 134.45/134.54  -> one
% 134.45/134.54  Current number of equations to process: 3466
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1088
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2064]
% 134.45/134.54  c(forward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 134.45/134.54                                                        backward_diamond(A,B),
% 134.45/134.54                                                        c(c(C))))) -> one
% 134.45/134.54  Current number of equations to process: 3465
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1089
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2065]
% 134.45/134.54  coantidomain(backward_diamond(c(forward_diamond(A,c(B))),forward_diamond(A,
% 134.45/134.54                                                           c(B)))) -> one
% 134.45/134.54  Current number of equations to process: 3464
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1090
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2066]
% 134.45/134.54  leq(multiplication(A,forward_diamond(B,C)) addition X0,A addition X0) -> true
% 134.45/134.54  Current number of equations to process: 3463
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1091
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2067]
% 134.45/134.54  forward_diamond(multiplication(c(B),forward_diamond(C,X0)) addition A,B) ->
% 134.45/134.54  forward_diamond(A,B)
% 134.45/134.54  Current number of equations to process: 3461
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1092
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2068]
% 134.45/134.54  multiplication(multiplication(A,forward_diamond(B,C)),forward_diamond(X0,X1)) addition A
% 134.45/134.54  -> A
% 134.45/134.54  Current number of equations to process: 3460
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1093
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2069]
% 134.45/134.54  leq(multiplication(forward_diamond(A,B),C) addition X0,C addition X0) -> true
% 134.45/134.54  Current number of equations to process: 3459
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1094
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2070]
% 134.45/134.54  multiplication(forward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))) addition C
% 134.45/134.54  -> C
% 134.45/134.54  Current number of equations to process: 3456
% 134.45/134.54  Current number of ordered equations: 1
% 134.45/134.54  Current number of rules: 1095
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2071]
% 134.45/134.54  multiplication(multiplication(forward_diamond(B,C),A),forward_diamond(X0,X1)) addition A
% 134.45/134.54  -> A
% 134.45/134.54  Current number of equations to process: 3456
% 134.45/134.54  Current number of ordered equations: 0
% 134.45/134.54  Current number of rules: 1096
% 134.45/134.54  New rule produced :
% 134.45/134.54  [2072]
% 134.45/134.54  multiplication(forward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)) addition X1
% 134.45/134.54  -> X1
% 134.45/134.54  Current number of equations to process: 3454
% 134.45/134.54  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1097
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2073]
% 134.82/134.94  forward_diamond(multiplication(c(B),backward_diamond(C,X0)) addition A,B) ->
% 134.82/134.94  forward_diamond(A,B)
% 134.82/134.94  Current number of equations to process: 3406
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1098
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2074]
% 134.82/134.94  multiplication(multiplication(A,backward_diamond(B,C)),forward_diamond(X0,X1)) addition A
% 134.82/134.94  -> A
% 134.82/134.94  Current number of equations to process: 3404
% 134.82/134.94  Current number of ordered equations: 1
% 134.82/134.94  Current number of rules: 1099
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2075]
% 134.82/134.94  multiplication(multiplication(A,forward_diamond(B,C)),backward_diamond(X0,X1)) addition A
% 134.82/134.94  -> A
% 134.82/134.94  Current number of equations to process: 3404
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1100
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2076]
% 134.82/134.94  multiplication(multiplication(forward_diamond(A,B),C),backward_diamond(X0,X1)) addition C
% 134.82/134.94  -> C
% 134.82/134.94  Current number of equations to process: 3402
% 134.82/134.94  Current number of ordered equations: 1
% 134.82/134.94  Current number of rules: 1101
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2077]
% 134.82/134.94  multiplication(forward_diamond(B,C),multiplication(A,backward_diamond(X0,X1))) addition A
% 134.82/134.94  -> A
% 134.82/134.94  Current number of equations to process: 3402
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1102
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2078]
% 134.82/134.94  multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(X0,X1)) addition A
% 134.82/134.94  -> A
% 134.82/134.94  Current number of equations to process: 3401
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1103
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2079]
% 134.82/134.94  multiplication(backward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))) addition C
% 134.82/134.94  -> C
% 134.82/134.94  Current number of equations to process: 3399
% 134.82/134.94  Current number of ordered equations: 1
% 134.82/134.94  Current number of rules: 1104
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2080]
% 134.82/134.94  multiplication(multiplication(backward_diamond(B,C),A),forward_diamond(X0,X1)) addition A
% 134.82/134.94  -> A
% 134.82/134.94  Current number of equations to process: 3399
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1105
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2081]
% 134.82/134.94  multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)) addition X1
% 134.82/134.94  -> X1
% 134.82/134.94  Current number of equations to process: 3397
% 134.82/134.94  Current number of ordered equations: 1
% 134.82/134.94  Current number of rules: 1106
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2082]
% 134.82/134.94  multiplication(forward_diamond(B,C),multiplication(backward_diamond(X0,X1),A)) addition A
% 134.82/134.94  -> A
% 134.82/134.94  Current number of equations to process: 3397
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1107
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2083]
% 134.82/134.94  multiplication(backward_diamond(A,B),multiplication(C,backward_diamond(X0,X1))) addition C
% 134.82/134.94  -> C
% 134.82/134.94  Current number of equations to process: 3395
% 134.82/134.94  Current number of ordered equations: 1
% 134.82/134.94  Current number of rules: 1108
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2084]
% 134.82/134.94  multiplication(multiplication(backward_diamond(B,C),A),backward_diamond(X0,X1)) addition A
% 134.82/134.94  -> A
% 134.82/134.94  Current number of equations to process: 3395
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1109
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2085]
% 134.82/134.94  multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),X1)) addition X1
% 134.82/134.94  -> X1
% 134.82/134.94  Current number of equations to process: 3393
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1110
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2086]
% 134.82/134.94  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 134.82/134.94  -> true
% 134.82/134.94  Current number of equations to process: 3392
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1111
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2087]
% 134.82/134.94  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 134.82/134.94  -> true
% 134.82/134.94  Current number of equations to process: 3391
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1112
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2088]
% 134.82/134.94  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 134.82/134.94               forward_diamond(C,X0)) -> one
% 134.82/134.94  Current number of equations to process: 3390
% 134.82/134.94  Current number of ordered equations: 0
% 134.82/134.94  Current number of rules: 1113
% 134.82/134.94  New rule produced :
% 134.82/134.94  [2089]
% 134.82/134.94  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 134.82/134.94                                                   codomain(X0))) -> one
% 134.82/134.94  Current number of equations to process: 3389
% 134.82/134.94  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1114
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2090]
% 135.20/135.29  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 135.20/135.29               backward_diamond(C,X0)) -> one
% 135.20/135.29  Current number of equations to process: 3388
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1115
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2091]
% 135.20/135.29  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 135.20/135.29                                                    codomain(X0))) -> one
% 135.20/135.29  Current number of equations to process: 3387
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1116
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2092]
% 135.20/135.29  leq(backward_diamond(A,B) addition multiplication(codomain(C),codomain(X0)),one)
% 135.20/135.29  -> true
% 135.20/135.29  Current number of equations to process: 3386
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1117
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2093]
% 135.20/135.29  leq(forward_diamond(A,B) addition multiplication(codomain(C),codomain(X0)),one)
% 135.20/135.29  -> true
% 135.20/135.29  Current number of equations to process: 3385
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1118
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2094]
% 135.20/135.29  one addition multiplication(multiplication(codomain(A),codomain(B)),forward_diamond(C,X0))
% 135.20/135.29  -> one
% 135.20/135.29  Current number of equations to process: 3384
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1119
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2095]
% 135.20/135.29  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 135.20/135.29                                                   codomain(X0))) -> one
% 135.20/135.29  Current number of equations to process: 3383
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1120
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2096]
% 135.20/135.29  one addition multiplication(multiplication(codomain(A),codomain(B)),backward_diamond(C,X0))
% 135.20/135.29  -> one
% 135.20/135.29  Current number of equations to process: 3382
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1121
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2097]
% 135.20/135.29  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 135.20/135.29                                                    codomain(X0))) -> one
% 135.20/135.29  Current number of equations to process: 3381
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1122
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2098]
% 135.20/135.29  leq(backward_diamond(A,B) addition multiplication(c(C),codomain(X0)),one) ->
% 135.20/135.29  true
% 135.20/135.29  Current number of equations to process: 3380
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1123
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2099]
% 135.20/135.29  leq(forward_diamond(A,B) addition multiplication(c(C),codomain(X0)),one) ->
% 135.20/135.29  true
% 135.20/135.29  Current number of equations to process: 3379
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1124
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2100]
% 135.20/135.29  one addition multiplication(multiplication(c(A),codomain(B)),forward_diamond(C,X0))
% 135.20/135.29  -> one
% 135.20/135.29  Current number of equations to process: 3378
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1125
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2101]
% 135.20/135.29  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 135.20/135.29                                                   codomain(X0))) -> one
% 135.20/135.29  Current number of equations to process: 3377
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1126
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2102]
% 135.20/135.29  one addition multiplication(multiplication(c(A),codomain(B)),backward_diamond(C,X0))
% 135.20/135.29  -> one
% 135.20/135.29  Current number of equations to process: 3376
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1127
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2103]
% 135.20/135.29  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 135.20/135.29                                                    codomain(X0))) -> one
% 135.20/135.29  Current number of equations to process: 3375
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1128
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2104]
% 135.20/135.29  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 135.20/135.29               codomain(X0)) -> one
% 135.20/135.29  Current number of equations to process: 3374
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1129
% 135.20/135.29  New rule produced :
% 135.20/135.29  [2105]
% 135.20/135.29  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 135.20/135.29                                          codomain(X0))) -> one
% 135.20/135.29  Current number of equations to process: 3373
% 135.20/135.29  Current number of ordered equations: 0
% 135.20/135.29  Current number of rules: 1130
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2106]
% 135.54/135.63  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 135.54/135.63               coantidomain(X0)) -> one
% 135.54/135.63  Current number of equations to process: 3372
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1131
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2107]
% 135.54/135.63  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 135.54/135.63                                              codomain(X0))) -> one
% 135.54/135.63  Current number of equations to process: 3371
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1132
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2108]
% 135.54/135.63  leq(codomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 135.54/135.63  -> true
% 135.54/135.63  Current number of equations to process: 3370
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1133
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2109]
% 135.54/135.63  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one)
% 135.54/135.63  -> true
% 135.54/135.63  Current number of equations to process: 3369
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1134
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2110]
% 135.54/135.63  leq(c(A) addition multiplication(forward_diamond(B,C),codomain(X0)),one) ->
% 135.54/135.63  true
% 135.54/135.63  Current number of equations to process: 3368
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1135
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2111]
% 135.54/135.63  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),codomain(X0)),one)
% 135.54/135.63  -> true
% 135.54/135.63  Current number of equations to process: 3367
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1136
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2112]
% 135.54/135.63  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),coantidomain(X0)),one)
% 135.54/135.63  -> true
% 135.54/135.63  Current number of equations to process: 3366
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1137
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2113]
% 135.54/135.63  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),codomain(X0))),one)
% 135.54/135.63  -> true
% 135.54/135.63  Current number of equations to process: 3365
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1138
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2114]
% 135.54/135.63  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 135.54/135.63                                     codomain(X0))),one) -> true
% 135.54/135.63  Current number of equations to process: 3364
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1139
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2115]
% 135.54/135.63  one addition multiplication(multiplication(forward_diamond(A,B),codomain(C)),
% 135.54/135.63               c(X0)) -> one
% 135.54/135.63  Current number of equations to process: 3361
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1140
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2116]
% 135.54/135.63  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 135.54/135.63                                   codomain(X0))) -> one
% 135.54/135.63  Current number of equations to process: 3360
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1141
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2117]
% 135.54/135.63  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 135.54/135.63               codomain(X0)) -> one
% 135.54/135.63  Current number of equations to process: 3358
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1142
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2118]
% 135.54/135.63  one addition multiplication(multiplication(backward_box(A,B),codomain(C)),
% 135.54/135.63               codomain(X0)) -> one
% 135.54/135.63  Current number of equations to process: 3357
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1143
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2119]
% 135.54/135.63  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 135.54/135.63               codomain(X0)) -> one
% 135.54/135.63  Current number of equations to process: 3356
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1144
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2120]
% 135.54/135.63  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 135.54/135.63               codomain(X0)) -> one
% 135.54/135.63  Current number of equations to process: 3355
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1145
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2121]
% 135.54/135.63  one addition multiplication(multiplication(backward_box(A,B),coantidomain(C)),
% 135.54/135.63               codomain(X0)) -> one
% 135.54/135.63  Current number of equations to process: 3354
% 135.54/135.63  Current number of ordered equations: 0
% 135.54/135.63  Current number of rules: 1146
% 135.54/135.63  New rule produced :
% 135.54/135.63  [2122]
% 135.54/135.63  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 135.88/135.95               codomain(X0)) -> one
% 135.88/135.95  Current number of equations to process: 3353
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1147
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2123]
% 135.88/135.95  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 135.88/135.95               codomain(X0)) -> one
% 135.88/135.95  Current number of equations to process: 3352
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1148
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2124]
% 135.88/135.95  one addition multiplication(multiplication(codomain(A),backward_box(B,C)),
% 135.88/135.95               codomain(X0)) -> one
% 135.88/135.95  Current number of equations to process: 3351
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1149
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2125]
% 135.88/135.95  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 135.88/135.95               codomain(X0)) -> one
% 135.88/135.95  Current number of equations to process: 3350
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1150
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2126]
% 135.88/135.95  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 135.88/135.95               codomain(X0)) -> one
% 135.88/135.95  Current number of equations to process: 3349
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1151
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2127]
% 135.88/135.95  one addition multiplication(multiplication(coantidomain(A),backward_box(B,C)),
% 135.88/135.95               codomain(X0)) -> one
% 135.88/135.95  Current number of equations to process: 3348
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1152
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2128]
% 135.88/135.95  leq(backward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 135.88/135.95  -> true
% 135.88/135.95  Current number of equations to process: 3347
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1153
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2129]
% 135.88/135.95  leq(forward_diamond(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 135.88/135.95  -> true
% 135.88/135.95  Current number of equations to process: 3346
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1154
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2130]
% 135.88/135.95  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 135.88/135.95               forward_diamond(C,X0)) -> one
% 135.88/135.95  Current number of equations to process: 3345
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1155
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2131]
% 135.88/135.95  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 135.88/135.95                                                   coantidomain(X0))) -> one
% 135.88/135.95  Current number of equations to process: 3344
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1156
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2132]
% 135.88/135.95  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 135.88/135.95               backward_diamond(C,X0)) -> one
% 135.88/135.95  Current number of equations to process: 3343
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1157
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2133]
% 135.88/135.95  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 135.88/135.95                                                    coantidomain(X0))) -> one
% 135.88/135.95  Current number of equations to process: 3342
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1158
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2134]
% 135.88/135.95  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 135.88/135.95                                          codomain(X0))) -> one
% 135.88/135.95  Current number of equations to process: 3340
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1159
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2135]
% 135.88/135.95  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 135.88/135.95               coantidomain(X0)) -> one
% 135.88/135.95  Current number of equations to process: 3339
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1160
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2136]
% 135.88/135.95  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 135.88/135.95                                              codomain(X0))) -> one
% 135.88/135.95  Current number of equations to process: 3338
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1161
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2137]
% 135.88/135.95  leq(codomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 135.88/135.95  -> true
% 135.88/135.95  Current number of equations to process: 3337
% 135.88/135.95  Current number of ordered equations: 0
% 135.88/135.95  Current number of rules: 1162
% 135.88/135.95  New rule produced :
% 135.88/135.95  [2138]
% 136.26/136.33  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one)
% 136.26/136.33  -> true
% 136.26/136.33  Current number of equations to process: 3336
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1163
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2139]
% 136.26/136.33  leq(c(A) addition multiplication(backward_diamond(B,C),codomain(X0)),one) ->
% 136.26/136.33  true
% 136.26/136.33  Current number of equations to process: 3335
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1164
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2140]
% 136.26/136.33  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 136.26/136.33      codomain(X0)),one) -> true
% 136.26/136.33  Current number of equations to process: 3334
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1165
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2141]
% 136.26/136.33  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 136.26/136.33      coantidomain(X0)),one) -> true
% 136.26/136.33  Current number of equations to process: 3333
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1166
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2142]
% 136.26/136.33  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),codomain(X0))),one)
% 136.26/136.33  -> true
% 136.26/136.33  Current number of equations to process: 3332
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1167
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2143]
% 136.26/136.33  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 136.26/136.33                                     codomain(X0))),one) -> true
% 136.26/136.33  Current number of equations to process: 3331
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1168
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2144]
% 136.26/136.33  one addition multiplication(multiplication(backward_diamond(A,B),codomain(C)),
% 136.26/136.33               c(X0)) -> one
% 136.26/136.33  Current number of equations to process: 3328
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1169
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2145]
% 136.26/136.33  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 136.26/136.33                                   codomain(X0))) -> one
% 136.26/136.33  Current number of equations to process: 3327
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1170
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2146]
% 136.26/136.33  leq(backward_diamond(A,B) addition multiplication(codomain(C),c(X0)),one) ->
% 136.26/136.33  true
% 136.26/136.33  Current number of equations to process: 3326
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1171
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2147]
% 136.26/136.33  leq(forward_diamond(A,B) addition multiplication(codomain(C),c(X0)),one) ->
% 136.26/136.33  true
% 136.26/136.33  Current number of equations to process: 3325
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1172
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2148]
% 136.26/136.33  one addition multiplication(multiplication(codomain(A),c(B)),forward_diamond(C,X0))
% 136.26/136.33  -> one
% 136.26/136.33  Current number of equations to process: 3324
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1173
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2149]
% 136.26/136.33  one addition multiplication(forward_diamond(A,B),multiplication(codomain(C),
% 136.26/136.33                                                   c(X0))) -> one
% 136.26/136.33  Current number of equations to process: 3323
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1174
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2150]
% 136.26/136.33  one addition multiplication(multiplication(codomain(A),c(B)),backward_diamond(C,X0))
% 136.26/136.33  -> one
% 136.26/136.33  Current number of equations to process: 3322
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1175
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2151]
% 136.26/136.33  one addition multiplication(backward_diamond(A,B),multiplication(codomain(C),
% 136.26/136.33                                                    c(X0))) -> one
% 136.26/136.33  Current number of equations to process: 3321
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1176
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2152]
% 136.26/136.33  one addition multiplication(codomain(A),multiplication(codomain(B),forward_diamond(C,X0)))
% 136.26/136.33  -> one
% 136.26/136.33  Current number of equations to process: 3319
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1177
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2153]
% 136.26/136.33  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 136.26/136.33               coantidomain(X0)) -> one
% 136.26/136.33  Current number of equations to process: 3318
% 136.26/136.33  Current number of ordered equations: 0
% 136.26/136.33  Current number of rules: 1178
% 136.26/136.33  New rule produced :
% 136.26/136.33  [2154]
% 136.26/136.33  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 136.26/136.33                                              forward_diamond(C,X0))) -> one
% 136.56/136.61  Current number of equations to process: 3317
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1179
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2155]
% 136.56/136.61  leq(codomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 136.56/136.61  -> true
% 136.56/136.61  Current number of equations to process: 3316
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1180
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2156]
% 136.56/136.61  leq(coantidomain(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one)
% 136.56/136.61  -> true
% 136.56/136.61  Current number of equations to process: 3315
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1181
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2157]
% 136.56/136.61  leq(c(A) addition multiplication(codomain(B),forward_diamond(C,X0)),one) ->
% 136.56/136.61  true
% 136.56/136.61  Current number of equations to process: 3314
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1182
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2158]
% 136.56/136.61  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),codomain(X0)),one)
% 136.56/136.61  -> true
% 136.56/136.61  Current number of equations to process: 3313
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1183
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2159]
% 136.56/136.61  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),coantidomain(X0)),one)
% 136.56/136.61  -> true
% 136.56/136.61  Current number of equations to process: 3312
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1184
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2160]
% 136.56/136.61  leq(multiplication(codomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 136.56/136.61  -> true
% 136.56/136.61  Current number of equations to process: 3311
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1185
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2161]
% 136.56/136.61  leq(multiplication(coantidomain(A),multiplication(codomain(B),forward_diamond(C,X0))),one)
% 136.56/136.61  -> true
% 136.56/136.61  Current number of equations to process: 3310
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1186
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2162]
% 136.56/136.61  one addition multiplication(multiplication(codomain(A),forward_diamond(B,C)),
% 136.56/136.61               c(X0)) -> one
% 136.56/136.61  Current number of equations to process: 3307
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1187
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2163]
% 136.56/136.61  one addition multiplication(c(A),multiplication(codomain(B),forward_diamond(C,X0)))
% 136.56/136.61  -> one
% 136.56/136.61  Current number of equations to process: 3306
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1188
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2164]
% 136.56/136.61  one addition multiplication(codomain(A),multiplication(forward_diamond(B,C),
% 136.56/136.61                                          coantidomain(X0))) -> one
% 136.56/136.61  Current number of equations to process: 3305
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1189
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2165]
% 136.56/136.61  one addition multiplication(codomain(A),multiplication(backward_diamond(B,C),
% 136.56/136.61                                          coantidomain(X0))) -> one
% 136.56/136.61  Current number of equations to process: 3304
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1190
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2166]
% 136.56/136.61  one addition multiplication(codomain(A),multiplication(backward_box(B,C),
% 136.56/136.61                                          coantidomain(X0))) -> one
% 136.56/136.61  Current number of equations to process: 3303
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1191
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2167]
% 136.56/136.61  one addition multiplication(codomain(A),multiplication(backward_box(B,C),
% 136.56/136.61                                          codomain(X0))) -> one
% 136.56/136.61  Current number of equations to process: 3300
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1192
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2168]
% 136.56/136.61  one addition multiplication(codomain(A),multiplication(codomain(B),backward_diamond(C,X0)))
% 136.56/136.61  -> one
% 136.56/136.61  Current number of equations to process: 3298
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1193
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2169]
% 136.56/136.61  one addition multiplication(codomain(A),multiplication(codomain(B),backward_box(C,X0)))
% 136.56/136.61  -> one
% 136.56/136.61  Current number of equations to process: 3297
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1194
% 136.56/136.61  New rule produced :
% 136.56/136.61  [2170]
% 136.56/136.61  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 136.56/136.61                                          forward_diamond(C,X0))) -> one
% 136.56/136.61  Current number of equations to process: 3296
% 136.56/136.61  Current number of ordered equations: 0
% 136.56/136.61  Current number of rules: 1195
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2171]
% 136.75/136.81  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 136.75/136.81                                          backward_diamond(C,X0))) -> one
% 136.75/136.81  Current number of equations to process: 3295
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1196
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2172]
% 136.75/136.81  one addition multiplication(codomain(A),multiplication(coantidomain(B),
% 136.75/136.81                                          backward_box(C,X0))) -> one
% 136.75/136.81  Current number of equations to process: 3294
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1197
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2173]
% 136.75/136.81  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 136.75/136.81               coantidomain(X0)) -> one
% 136.75/136.81  Current number of equations to process: 3291
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1198
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2174]
% 136.75/136.81  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 136.75/136.81                                              backward_diamond(C,X0))) -> one
% 136.75/136.81  Current number of equations to process: 3290
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1199
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2175]
% 136.75/136.81  leq(codomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 136.75/136.81  -> true
% 136.75/136.81  Current number of equations to process: 3289
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1200
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2176]
% 136.75/136.81  leq(coantidomain(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one)
% 136.75/136.81  -> true
% 136.75/136.81  Current number of equations to process: 3288
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1201
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2177]
% 136.75/136.81  leq(c(A) addition multiplication(codomain(B),backward_diamond(C,X0)),one) ->
% 136.75/136.81  true
% 136.75/136.81  Current number of equations to process: 3287
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1202
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2178]
% 136.75/136.81  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 136.75/136.81      codomain(X0)),one) -> true
% 136.75/136.81  Current number of equations to process: 3286
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1203
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2179]
% 136.75/136.81  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 136.75/136.81      coantidomain(X0)),one) -> true
% 136.75/136.81  Current number of equations to process: 3285
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1204
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2180]
% 136.75/136.81  leq(multiplication(codomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 136.75/136.81  -> true
% 136.75/136.81  Current number of equations to process: 3284
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1205
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2181]
% 136.75/136.81  leq(multiplication(coantidomain(A),multiplication(codomain(B),backward_diamond(C,X0))),one)
% 136.75/136.81  -> true
% 136.75/136.81  Current number of equations to process: 3283
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1206
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2182]
% 136.75/136.81  one addition multiplication(multiplication(codomain(A),backward_diamond(B,C)),
% 136.75/136.81               c(X0)) -> one
% 136.75/136.81  Current number of equations to process: 3280
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1207
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2183]
% 136.75/136.81  one addition multiplication(c(A),multiplication(codomain(B),backward_diamond(C,X0)))
% 136.75/136.81  -> one
% 136.75/136.81  Current number of equations to process: 3279
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1208
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2184]
% 136.75/136.81  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 136.75/136.81  -> true
% 136.75/136.81  Current number of equations to process: 3278
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1209
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2185]
% 136.75/136.81  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 136.75/136.81  -> true
% 136.75/136.81  Current number of equations to process: 3277
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1210
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2186]
% 136.75/136.81  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 136.75/136.81               forward_diamond(C,X0)) -> one
% 136.75/136.81  Current number of equations to process: 3276
% 136.75/136.81  Current number of ordered equations: 0
% 136.75/136.81  Current number of rules: 1211
% 136.75/136.81  New rule produced :
% 136.75/136.81  [2187]
% 136.75/136.81  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 137.12/137.18                                                   coantidomain(X0))) -> one
% 137.12/137.18  Current number of equations to process: 3275
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1212
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2188]
% 137.12/137.18  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 137.12/137.18               backward_diamond(C,X0)) -> one
% 137.12/137.18  Current number of equations to process: 3274
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1213
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2189]
% 137.12/137.18  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 137.12/137.18                                                    coantidomain(X0))) -> one
% 137.12/137.18  Current number of equations to process: 3273
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1214
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2190]
% 137.12/137.18  leq(backward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 137.12/137.18  -> true
% 137.12/137.18  Current number of equations to process: 3272
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1215
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2191]
% 137.12/137.18  leq(forward_diamond(A,B) addition multiplication(c(C),coantidomain(X0)),one)
% 137.12/137.18  -> true
% 137.12/137.18  Current number of equations to process: 3271
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1216
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2192]
% 137.12/137.18  one addition multiplication(multiplication(c(A),coantidomain(B)),forward_diamond(C,X0))
% 137.12/137.18  -> one
% 137.12/137.18  Current number of equations to process: 3270
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1217
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2193]
% 137.12/137.18  one addition multiplication(forward_diamond(A,B),multiplication(c(C),
% 137.12/137.18                                                   coantidomain(X0))) -> one
% 137.12/137.18  Current number of equations to process: 3269
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1218
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2194]
% 137.12/137.18  one addition multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0))
% 137.12/137.18  -> one
% 137.12/137.18  Current number of equations to process: 3268
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1219
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2195]
% 137.12/137.18  one addition multiplication(backward_diamond(A,B),multiplication(c(C),
% 137.12/137.18                                                    coantidomain(X0))) -> one
% 137.12/137.18  Current number of equations to process: 3267
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1220
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2196]
% 137.12/137.18  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 137.12/137.18               coantidomain(X0)) -> one
% 137.12/137.18  Current number of equations to process: 3264
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1221
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2197]
% 137.12/137.18  one addition multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 137.12/137.18                                              coantidomain(X0))) -> one
% 137.12/137.18  Current number of equations to process: 3263
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1222
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2198]
% 137.12/137.18  leq(codomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 137.12/137.18  -> true
% 137.12/137.18  Current number of equations to process: 3262
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1223
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2199]
% 137.12/137.18  leq(coantidomain(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 137.12/137.18  -> true
% 137.12/137.18  Current number of equations to process: 3261
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1224
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2200]
% 137.12/137.18  leq(c(A) addition multiplication(forward_diamond(B,C),coantidomain(X0)),one)
% 137.12/137.18  -> true
% 137.12/137.18  Current number of equations to process: 3260
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1225
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2201]
% 137.12/137.18  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 137.12/137.18      codomain(X0)),one) -> true
% 137.12/137.18  Current number of equations to process: 3259
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1226
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2202]
% 137.12/137.18  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 137.12/137.18      coantidomain(X0)),one) -> true
% 137.12/137.18  Current number of equations to process: 3258
% 137.12/137.18  Current number of ordered equations: 0
% 137.12/137.18  Current number of rules: 1227
% 137.12/137.18  New rule produced :
% 137.12/137.18  [2203]
% 137.12/137.18  leq(multiplication(codomain(A),multiplication(forward_diamond(B,C),coantidomain(X0))),one)
% 137.56/137.60  -> true
% 137.56/137.60  Current number of equations to process: 3257
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1228
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2204]
% 137.56/137.60  leq(multiplication(coantidomain(A),multiplication(forward_diamond(B,C),
% 137.56/137.60                                     coantidomain(X0))),one) -> true
% 137.56/137.60  Current number of equations to process: 3256
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1229
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2205]
% 137.56/137.60  one addition multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 137.56/137.60               c(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3253
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1230
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2206]
% 137.56/137.60  one addition multiplication(c(A),multiplication(forward_diamond(B,C),
% 137.56/137.60                                   coantidomain(X0))) -> one
% 137.56/137.60  Current number of equations to process: 3252
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1231
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2207]
% 137.56/137.60  one addition multiplication(multiplication(backward_box(A,B),codomain(C)),
% 137.56/137.60               coantidomain(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3249
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1232
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2208]
% 137.56/137.60  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 137.56/137.60               coantidomain(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3247
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1233
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2209]
% 137.56/137.60  one addition multiplication(multiplication(backward_box(A,B),coantidomain(C)),
% 137.56/137.60               coantidomain(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3246
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1234
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2210]
% 137.56/137.60  one addition multiplication(multiplication(codomain(A),backward_box(B,C)),
% 137.56/137.60               coantidomain(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3243
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1235
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2211]
% 137.56/137.60  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 137.56/137.60               coantidomain(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3242
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1236
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2212]
% 137.56/137.60  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 137.56/137.60               coantidomain(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3241
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1237
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2213]
% 137.56/137.60  one addition multiplication(multiplication(coantidomain(A),backward_box(B,C)),
% 137.56/137.60               coantidomain(X0)) -> one
% 137.56/137.60  Current number of equations to process: 3240
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1238
% 137.56/137.60  New rule produced :
% 137.56/137.60  [2214]
% 137.56/137.60  one addition multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 137.56/137.60                                              coantidomain(X0))) -> one
% 137.56/137.60  Current number of equations to process: 3236
% 137.56/137.60  Current number of ordered equations: 0
% 137.56/137.60  Current number of rules: 1239
% 137.56/137.60  New rule produced :
% 137.56/137.61  [2215]
% 137.56/137.61  leq(codomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 137.56/137.61  -> true
% 137.56/137.61  Current number of equations to process: 3235
% 137.56/137.61  Current number of ordered equations: 0
% 137.56/137.61  Current number of rules: 1240
% 137.56/137.61  New rule produced :
% 137.56/137.61  [2216]
% 137.56/137.61  leq(coantidomain(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 137.56/137.61  -> true
% 137.56/137.61  Current number of equations to process: 3234
% 137.56/137.61  Current number of ordered equations: 0
% 137.56/137.61  Current number of rules: 1241
% 137.56/137.61  New rule produced :
% 137.56/137.61  [2217]
% 137.56/137.61  leq(c(A) addition multiplication(backward_diamond(B,C),coantidomain(X0)),one)
% 137.56/137.61  -> true
% 137.56/137.61  Current number of equations to process: 3233
% 137.56/137.61  Current number of ordered equations: 0
% 137.56/137.61  Current number of rules: 1242
% 137.56/137.61  New rule produced :
% 137.56/137.61  [2218]
% 137.56/137.61  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 137.56/137.61      codomain(X0)),one) -> true
% 137.56/137.61  Current number of equations to process: 3232
% 137.56/137.61  Current number of ordered equations: 0
% 137.56/137.61  Current number of rules: 1243
% 137.56/137.61  New rule produced :
% 137.56/137.61  [2219]
% 137.56/137.61  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 137.98/138.08      coantidomain(X0)),one) -> true
% 137.98/138.08  Current number of equations to process: 3231
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1244
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2220]
% 137.98/138.08  leq(multiplication(codomain(A),multiplication(backward_diamond(B,C),coantidomain(X0))),one)
% 137.98/138.08  -> true
% 137.98/138.08  Current number of equations to process: 3230
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1245
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2221]
% 137.98/138.08  leq(multiplication(coantidomain(A),multiplication(backward_diamond(B,C),
% 137.98/138.08                                     coantidomain(X0))),one) -> true
% 137.98/138.08  Current number of equations to process: 3229
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1246
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2222]
% 137.98/138.08  one addition multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 137.98/138.08               c(X0)) -> one
% 137.98/138.08  Current number of equations to process: 3226
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1247
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2223]
% 137.98/138.08  one addition multiplication(c(A),multiplication(backward_diamond(B,C),
% 137.98/138.08                                   coantidomain(X0))) -> one
% 137.98/138.08  Current number of equations to process: 3225
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1248
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2224]
% 137.98/138.08  leq(backward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 137.98/138.08  -> true
% 137.98/138.08  Current number of equations to process: 3224
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1249
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2225]
% 137.98/138.08  leq(forward_diamond(A,B) addition multiplication(coantidomain(C),c(X0)),one)
% 137.98/138.08  -> true
% 137.98/138.08  Current number of equations to process: 3223
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1250
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2226]
% 137.98/138.08  one addition multiplication(multiplication(coantidomain(A),c(B)),forward_diamond(C,X0))
% 137.98/138.08  -> one
% 137.98/138.08  Current number of equations to process: 3222
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1251
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2227]
% 137.98/138.08  one addition multiplication(forward_diamond(A,B),multiplication(coantidomain(C),
% 137.98/138.08                                                   c(X0))) -> one
% 137.98/138.08  Current number of equations to process: 3221
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1252
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2228]
% 137.98/138.08  one addition multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0))
% 137.98/138.08  -> one
% 137.98/138.08  Current number of equations to process: 3220
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1253
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2229]
% 137.98/138.08  one addition multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 137.98/138.08                                                    c(X0))) -> one
% 137.98/138.08  Current number of equations to process: 3219
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1254
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2230]
% 137.98/138.08  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 137.98/138.08                                              forward_diamond(C,X0))) -> one
% 137.98/138.08  Current number of equations to process: 3215
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1255
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2231]
% 137.98/138.08  leq(codomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 137.98/138.08  -> true
% 137.98/138.08  Current number of equations to process: 3214
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1256
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2232]
% 137.98/138.08  leq(coantidomain(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 137.98/138.08  -> true
% 137.98/138.08  Current number of equations to process: 3213
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1257
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2233]
% 137.98/138.08  leq(c(A) addition multiplication(coantidomain(B),forward_diamond(C,X0)),one)
% 137.98/138.08  -> true
% 137.98/138.08  Current number of equations to process: 3212
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1258
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2234]
% 137.98/138.08  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 137.98/138.08      codomain(X0)),one) -> true
% 137.98/138.08  Current number of equations to process: 3211
% 137.98/138.08  Current number of ordered equations: 0
% 137.98/138.08  Current number of rules: 1259
% 137.98/138.08  New rule produced :
% 137.98/138.08  [2235]
% 137.98/138.08  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 137.98/138.08      coantidomain(X0)),one) -> true
% 137.98/138.08  Current number of equations to process: 3210
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1260
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2236]
% 138.47/138.54  leq(multiplication(codomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 138.47/138.54  -> true
% 138.47/138.54  Current number of equations to process: 3209
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1261
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2237]
% 138.47/138.54  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),forward_diamond(C,X0))),one)
% 138.47/138.54  -> true
% 138.47/138.54  Current number of equations to process: 3208
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1262
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2238]
% 138.47/138.54  one addition multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 138.47/138.54               c(X0)) -> one
% 138.47/138.54  Current number of equations to process: 3205
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1263
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2239]
% 138.47/138.54  one addition multiplication(c(A),multiplication(coantidomain(B),forward_diamond(C,X0)))
% 138.47/138.54  -> one
% 138.47/138.54  Current number of equations to process: 3204
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1264
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2240]
% 138.47/138.54  one addition multiplication(coantidomain(A),multiplication(backward_box(B,C),
% 138.47/138.54                                              coantidomain(X0))) -> one
% 138.47/138.54  Current number of equations to process: 3201
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1265
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2241]
% 138.47/138.54  one addition multiplication(coantidomain(A),multiplication(backward_box(B,C),
% 138.47/138.54                                              codomain(X0))) -> one
% 138.47/138.54  Current number of equations to process: 3198
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1266
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2242]
% 138.47/138.54  one addition multiplication(coantidomain(A),multiplication(codomain(B),
% 138.47/138.54                                              backward_box(C,X0))) -> one
% 138.47/138.54  Current number of equations to process: 3195
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1267
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2243]
% 138.47/138.54  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 138.47/138.54                                              backward_diamond(C,X0))) -> one
% 138.47/138.54  Current number of equations to process: 3193
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1268
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2244]
% 138.47/138.54  one addition multiplication(coantidomain(A),multiplication(coantidomain(B),
% 138.47/138.54                                              backward_box(C,X0))) -> one
% 138.47/138.54  Current number of equations to process: 3192
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1269
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2245]
% 138.47/138.54  leq(codomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 138.47/138.54  -> true
% 138.47/138.54  Current number of equations to process: 3187
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1270
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2246]
% 138.47/138.54  leq(coantidomain(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 138.47/138.54  -> true
% 138.47/138.54  Current number of equations to process: 3186
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1271
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2247]
% 138.47/138.54  leq(c(A) addition multiplication(coantidomain(B),backward_diamond(C,X0)),one)
% 138.47/138.54  -> true
% 138.47/138.54  Current number of equations to process: 3185
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1272
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2248]
% 138.47/138.54  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 138.47/138.54      codomain(X0)),one) -> true
% 138.47/138.54  Current number of equations to process: 3184
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1273
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2249]
% 138.47/138.54  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 138.47/138.54      coantidomain(X0)),one) -> true
% 138.47/138.54  Current number of equations to process: 3183
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1274
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2250]
% 138.47/138.54  leq(multiplication(codomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 138.47/138.54  -> true
% 138.47/138.54  Current number of equations to process: 3182
% 138.47/138.54  Current number of ordered equations: 0
% 138.47/138.54  Current number of rules: 1275
% 138.47/138.54  New rule produced :
% 138.47/138.54  [2251]
% 138.47/138.54  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),backward_diamond(C,X0))),one)
% 138.47/138.54  -> true
% 138.47/138.54  Current number of equations to process: 3181
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1276
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2252]
% 142.59/142.70  one addition multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 142.59/142.70               c(X0)) -> one
% 142.59/142.70  Current number of equations to process: 3178
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1277
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2253]
% 142.59/142.70  one addition multiplication(c(A),multiplication(coantidomain(B),backward_diamond(C,X0)))
% 142.59/142.70  -> one
% 142.59/142.70  Current number of equations to process: 3177
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1278
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2254]
% 142.59/142.70  coantidomain(backward_diamond(backward_diamond(A,B),multiplication(C,
% 142.59/142.70                                                      coantidomain(backward_diamond(A,B)))))
% 142.59/142.70  -> one
% 142.59/142.70  Current number of equations to process: 3176
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1279
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2255]
% 142.59/142.70  multiplication(backward_diamond(A,B),multiplication(backward_diamond(A,B),C))
% 142.59/142.70  -> multiplication(backward_diamond(A,B),C)
% 142.59/142.70  Current number of equations to process: 3175
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1280
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2256]
% 142.59/142.70  coantidomain(backward_diamond(multiplication(backward_diamond(A,B),C),
% 142.59/142.70               coantidomain(backward_diamond(A,B)))) -> one
% 142.59/142.70  Current number of equations to process: 3174
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1281
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2257]
% 142.59/142.70  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition B)
% 142.59/142.70  -> true
% 142.59/142.70  Current number of equations to process: 3188
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1282
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2258]
% 142.59/142.70  multiplication(c(A),multiplication(coantidomain(c(c(A))),B)) ->
% 142.59/142.70  multiplication(coantidomain(c(c(A))),B)
% 142.59/142.70  Current number of equations to process: 3281
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1283
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2259] c(c(B)) addition multiplication(c(A),c(B)) -> c(c(B)) addition c(A)
% 142.59/142.70  Current number of equations to process: 3279
% 142.59/142.70  Current number of ordered equations: 1
% 142.59/142.70  Current number of rules: 1284
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2260] c(c(A)) addition multiplication(c(A),c(B)) -> c(c(A)) addition c(B)
% 142.59/142.70  Current number of equations to process: 3279
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1285
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2261]
% 142.59/142.70  c(c(A)) addition multiplication(c(A),codomain(B)) ->
% 142.59/142.70  c(c(A)) addition codomain(B)
% 142.59/142.70  Current number of equations to process: 3277
% 142.59/142.70  Current number of ordered equations: 1
% 142.59/142.70  Current number of rules: 1286
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2262]
% 142.59/142.70  c(c(A)) addition multiplication(c(A),coantidomain(B)) ->
% 142.59/142.70  c(c(A)) addition coantidomain(B)
% 142.59/142.70  Current number of equations to process: 3277
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1287
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2263]
% 142.59/142.70  multiplication(multiplication(A,multiplication(B,codomain(C))),coantidomain(
% 142.59/142.70                                                                 multiplication(A,B)))
% 142.59/142.70  -> zero
% 142.59/142.70  Current number of equations to process: 3473
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1288
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2264]
% 142.59/142.70  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(A),C))
% 142.59/142.70  -> zero
% 142.59/142.70  Current number of equations to process: 3506
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1289
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2265]
% 142.59/142.70  leq(multiplication(multiplication(A,codomain(B)),C),multiplication(A,C)) ->
% 142.59/142.70  true
% 142.59/142.70  Current number of equations to process: 3515
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1290
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2266]
% 142.59/142.70  multiplication(multiplication(coantidomain(A),codomain(B)),multiplication(
% 142.59/142.70                                                             codomain(A),C)) ->
% 142.59/142.70  zero
% 142.59/142.70  Current number of equations to process: 3579
% 142.59/142.70  Current number of ordered equations: 0
% 142.59/142.70  Current number of rules: 1291
% 142.59/142.70  New rule produced :
% 142.59/142.70  [2267]
% 142.59/142.70  multiplication(multiplication(multiplication(A,B),codomain(C)),multiplication(
% 142.59/142.70                                                                 coantidomain(B),X0))
% 142.59/142.70  -> zero
% 142.59/142.70  Current number of equations to process: 3628
% 142.59/142.70  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1292
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2268]
% 151.07/151.14  multiplication(multiplication(codomain(A),codomain(B)),coantidomain(A)) ->
% 151.07/151.14  zero
% 151.07/151.14  Current number of equations to process: 3692
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1293
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2269]
% 151.07/151.14  multiplication(multiplication(codomain(A),codomain(B)),multiplication(
% 151.07/151.14                                                         coantidomain(A),C)) ->
% 151.07/151.14  zero
% 151.07/151.14  Current number of equations to process: 3692
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1294
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2270]
% 151.07/151.14  multiplication(multiplication(multiplication(A,codomain(B)),C),coantidomain(
% 151.07/151.14                                                                 multiplication(A,C)))
% 151.07/151.14  -> zero
% 151.07/151.14  Current number of equations to process: 3777
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1295
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2271]
% 151.07/151.14  multiplication(coantidomain(A),multiplication(codomain(B),codomain(A))) ->
% 151.07/151.14  zero
% 151.07/151.14  Current number of equations to process: 4098
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1296
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2272]
% 151.07/151.14  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(B)))
% 151.07/151.14  -> zero
% 151.07/151.14  Rule
% 151.07/151.14  [1902]
% 151.07/151.14  multiplication(multiplication(codomain(A),B),multiplication(codomain(C),
% 151.07/151.14                                               coantidomain(B))) -> zero
% 151.07/151.14  collapsed.
% 151.07/151.14  Rule
% 151.07/151.14  [1909]
% 151.07/151.14  multiplication(multiplication(coantidomain(A),B),multiplication(codomain(C),
% 151.07/151.14                                                   coantidomain(B))) -> zero
% 151.07/151.14  collapsed.
% 151.07/151.14  Current number of equations to process: 4099
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1295
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2273]
% 151.07/151.14  leq(multiplication(A,multiplication(codomain(B),C)),multiplication(A,C)) ->
% 151.07/151.14  true
% 151.07/151.14  Current number of equations to process: 4109
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1296
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2274]
% 151.07/151.14  multiplication(multiplication(A,coantidomain(B)),multiplication(codomain(C),
% 151.07/151.14                                                   codomain(B))) -> zero
% 151.07/151.14  Current number of equations to process: 4171
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1297
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2275]
% 151.07/151.14  multiplication(multiplication(A,B),multiplication(codomain(C),multiplication(
% 151.07/151.14                                                                coantidomain(B),X0)))
% 151.07/151.14  -> zero
% 151.07/151.14  Current number of equations to process: 4220
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1298
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2276]
% 151.07/151.14  multiplication(multiplication(A,codomain(B)),multiplication(codomain(C),
% 151.07/151.14                                               coantidomain(B))) -> zero
% 151.07/151.14  Current number of equations to process: 4288
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1299
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2277]
% 151.07/151.14  multiplication(multiplication(A,multiplication(codomain(B),C)),coantidomain(
% 151.07/151.14                                                                 multiplication(A,C)))
% 151.07/151.14  -> zero
% 151.07/151.14  Current number of equations to process: 4381
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1300
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2278]
% 151.07/151.14  multiplication(coantidomain(backward_diamond(A,B)),multiplication(codomain(C),
% 151.07/151.14                                                     backward_diamond(A,B))) ->
% 151.07/151.14  zero
% 151.07/151.14  Current number of equations to process: 4380
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1301
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2279]
% 151.07/151.14  multiplication(multiplication(A,multiplication(B,coantidomain(C))),coantidomain(
% 151.07/151.14                                                                     multiplication(A,B)))
% 151.07/151.14  -> zero
% 151.07/151.14  Current number of equations to process: 4664
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1302
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2280]
% 151.07/151.14  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(A),C))
% 151.07/151.14  -> zero
% 151.07/151.14  Current number of equations to process: 4695
% 151.07/151.14  Current number of ordered equations: 0
% 151.07/151.14  Current number of rules: 1303
% 151.07/151.14  New rule produced :
% 151.07/151.14  [2281]
% 151.07/151.14  leq(multiplication(multiplication(A,coantidomain(B)),C),multiplication(A,C))
% 151.07/151.14  -> true
% 151.07/151.14  Current number of equations to process: 4700
% 151.07/151.14  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1304
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2282]
% 158.26/158.31  multiplication(multiplication(coantidomain(A),coantidomain(B)),multiplication(
% 158.26/158.31                                                                 codomain(A),C))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 4762
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1305
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2283]
% 158.26/158.31  multiplication(multiplication(multiplication(A,B),coantidomain(C)),multiplication(
% 158.26/158.31                                                                     coantidomain(B),X0))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 4811
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1306
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2284]
% 158.26/158.31  multiplication(multiplication(codomain(A),coantidomain(B)),coantidomain(A))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 4869
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1307
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2285]
% 158.26/158.31  multiplication(multiplication(codomain(A),coantidomain(B)),multiplication(
% 158.26/158.31                                                             coantidomain(A),C))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 4869
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1308
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2286]
% 158.26/158.31  multiplication(multiplication(multiplication(A,coantidomain(B)),C),coantidomain(
% 158.26/158.31                                                                     multiplication(A,C)))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 4970
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1309
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2287]
% 158.26/158.31  multiplication(coantidomain(A),multiplication(coantidomain(B),codomain(A)))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 1089
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1310
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2288]
% 158.26/158.31  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(B)))
% 158.26/158.31  -> zero
% 158.26/158.31  Rule
% 158.26/158.31  [1941]
% 158.26/158.31  multiplication(multiplication(codomain(A),B),multiplication(coantidomain(C),
% 158.26/158.31                                               coantidomain(B))) -> zero
% 158.26/158.31  collapsed.
% 158.26/158.31  Rule
% 158.26/158.31  [1983]
% 158.26/158.31  multiplication(multiplication(coantidomain(A),B),multiplication(coantidomain(C),
% 158.26/158.31                                                   coantidomain(B))) -> zero
% 158.26/158.31  collapsed.
% 158.26/158.31  Current number of equations to process: 1090
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1309
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2289]
% 158.26/158.31  leq(multiplication(A,multiplication(coantidomain(B),C)),multiplication(A,C))
% 158.26/158.31  -> true
% 158.26/158.31  Current number of equations to process: 1096
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1310
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2290]
% 158.26/158.31  multiplication(multiplication(A,coantidomain(B)),multiplication(coantidomain(C),
% 158.26/158.31                                                   codomain(B))) -> zero
% 158.26/158.31  Current number of equations to process: 1156
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1311
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2291]
% 158.26/158.31  multiplication(multiplication(A,B),multiplication(coantidomain(C),multiplication(
% 158.26/158.31                                                                    coantidomain(B),X0)))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 1205
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1312
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2292]
% 158.26/158.31  multiplication(multiplication(A,codomain(B)),multiplication(coantidomain(C),
% 158.26/158.31                                               coantidomain(B))) -> zero
% 158.26/158.31  Current number of equations to process: 1267
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1313
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2293]
% 158.26/158.31  multiplication(multiplication(A,multiplication(coantidomain(B),C)),coantidomain(
% 158.26/158.31                                                                     multiplication(A,C)))
% 158.26/158.31  -> zero
% 158.26/158.31  Current number of equations to process: 1376
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1314
% 158.26/158.31  New rule produced :
% 158.26/158.31  [2294]
% 158.26/158.31  multiplication(coantidomain(backward_diamond(A,B)),multiplication(coantidomain(C),
% 158.26/158.31                                                     backward_diamond(A,B))) ->
% 158.26/158.31  zero
% 158.26/158.31  Current number of equations to process: 1375
% 158.26/158.31  Current number of ordered equations: 0
% 158.26/158.31  Current number of rules: 1315
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2295] forward_diamond(codomain(A),coantidomain(A)) -> zero
% 168.11/168.17  Rule [1644] c(forward_diamond(codomain(A),coantidomain(A))) -> one collapsed.
% 168.11/168.17  Current number of equations to process: 1486
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1315
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2296]
% 168.11/168.17  forward_diamond(coantidomain(backward_diamond(A,B)),backward_diamond(A,B)) ->
% 168.11/168.17  zero
% 168.11/168.17  Current number of equations to process: 1488
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1316
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2297]
% 168.11/168.17  forward_diamond(multiplication(multiplication(A,c(B)),codomain(C)),B) -> zero
% 168.11/168.17  Rule
% 168.11/168.17  [1901]
% 168.11/168.17  forward_diamond(multiplication(multiplication(codomain(A),c(B)),codomain(C)),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Rule
% 168.11/168.17  [1908]
% 168.11/168.17  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),codomain(C)),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Current number of equations to process: 1517
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1315
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2298]
% 168.11/168.17  forward_diamond(multiplication(multiplication(A,c(B)),coantidomain(C)),B) ->
% 168.11/168.17  zero
% 168.11/168.17  Rule
% 168.11/168.17  [1978]
% 168.11/168.17  forward_diamond(multiplication(multiplication(codomain(A),c(B)),coantidomain(C)),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Rule
% 168.11/168.17  [1982]
% 168.11/168.17  forward_diamond(multiplication(multiplication(coantidomain(A),c(B)),coantidomain(C)),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Current number of equations to process: 1516
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1314
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2299] forward_diamond(multiplication(multiplication(A,c(B)),c(C)),B) -> zero
% 168.11/168.17  Current number of equations to process: 1555
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1315
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2300]
% 168.11/168.17  forward_diamond(multiplication(A,multiplication(c(B),codomain(C))),B) -> zero
% 168.11/168.17  Rule
% 168.11/168.17  [1942]
% 168.11/168.17  forward_diamond(multiplication(codomain(A),multiplication(c(B),codomain(C))),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Rule
% 168.11/168.17  [1999]
% 168.11/168.17  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),codomain(C))),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Current number of equations to process: 1556
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1314
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2301]
% 168.11/168.17  forward_diamond(multiplication(A,multiplication(c(B),coantidomain(C))),B) ->
% 168.11/168.17  zero
% 168.11/168.17  Rule
% 168.11/168.17  [1940]
% 168.11/168.17  forward_diamond(multiplication(codomain(A),multiplication(c(B),coantidomain(C))),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Rule
% 168.11/168.17  [1998]
% 168.11/168.17  forward_diamond(multiplication(coantidomain(A),multiplication(c(B),coantidomain(C))),B)
% 168.11/168.17  -> zero collapsed.
% 168.11/168.17  Current number of equations to process: 1558
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1313
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2302]
% 168.11/168.17  forward_diamond(multiplication(multiplication(A,c(B)),forward_diamond(C,X0)),B)
% 168.11/168.17  -> zero
% 168.11/168.17  Current number of equations to process: 1558
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1314
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2303]
% 168.11/168.17  forward_diamond(multiplication(multiplication(A,c(B)),backward_diamond(C,X0)),B)
% 168.11/168.17  -> zero
% 168.11/168.17  Current number of equations to process: 1557
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1315
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2304]
% 168.11/168.17  forward_diamond(forward_diamond(A,B),forward_diamond(A,B)) ->
% 168.11/168.17  forward_diamond(A,B)
% 168.11/168.17  Current number of equations to process: 1679
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1316
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2305] leq(backward_box(A,B) addition backward_box(C,X0),one) -> true
% 168.11/168.17  Current number of equations to process: 1717
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1317
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2306]
% 168.11/168.17  multiplication(A,multiplication(backward_box(B,C),codomain(X0))) addition A
% 168.11/168.17  -> A
% 168.11/168.17  Current number of equations to process: 2276
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1318
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2307]
% 168.11/168.17  multiplication(multiplication(backward_box(B,C),codomain(X0)),A) addition A
% 168.11/168.17  -> A
% 168.11/168.17  Current number of equations to process: 2275
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1319
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2308]
% 168.11/168.17  multiplication(A,multiplication(codomain(B),backward_box(C,X0))) addition A
% 168.11/168.17  -> A
% 168.11/168.17  Current number of equations to process: 2274
% 168.11/168.17  Current number of ordered equations: 0
% 168.11/168.17  Current number of rules: 1320
% 168.11/168.17  New rule produced :
% 168.11/168.17  [2309]
% 168.34/168.40  multiplication(multiplication(codomain(B),backward_box(C,X0)),A) addition A
% 168.34/168.40  -> A
% 168.34/168.40  Current number of equations to process: 2273
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1321
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2310]
% 168.34/168.40  multiplication(A,multiplication(backward_box(B,C),coantidomain(X0))) addition A
% 168.34/168.40  -> A
% 168.34/168.40  Current number of equations to process: 2272
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1322
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2311]
% 168.34/168.40  multiplication(multiplication(backward_box(B,C),coantidomain(X0)),A) addition A
% 168.34/168.40  -> A
% 168.34/168.40  Current number of equations to process: 2271
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1323
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2312]
% 168.34/168.40  multiplication(A,multiplication(coantidomain(B),backward_box(C,X0))) addition A
% 168.34/168.40  -> A
% 168.34/168.40  Current number of equations to process: 2270
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1324
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2313]
% 168.34/168.40  multiplication(multiplication(coantidomain(B),backward_box(C,X0)),A) addition A
% 168.34/168.40  -> A
% 168.34/168.40  Current number of equations to process: 2269
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1325
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2314]
% 168.34/168.40  forward_diamond(multiplication(A,multiplication(B,c(C))) addition X0,C) ->
% 168.34/168.40  forward_diamond(X0,C)
% 168.34/168.40  Current number of equations to process: 2268
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1326
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2315]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(coantidomain(C),codomain(X0)),one)
% 168.34/168.40  -> true
% 168.34/168.40  Current number of equations to process: 2267
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1327
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2316]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(codomain(C),codomain(X0)),one)
% 168.34/168.40  -> true
% 168.34/168.40  Current number of equations to process: 2266
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1328
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2317]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(c(C),codomain(X0)),one) -> true
% 168.34/168.40  Current number of equations to process: 2265
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1329
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2318]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(codomain(C),coantidomain(X0)),one)
% 168.34/168.40  -> true
% 168.34/168.40  Current number of equations to process: 2264
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1330
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2319]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(codomain(C),c(X0)),one) -> true
% 168.34/168.40  Current number of equations to process: 2263
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1331
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2320]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(coantidomain(C),coantidomain(X0)),one)
% 168.34/168.40  -> true
% 168.34/168.40  Current number of equations to process: 2262
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1332
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2321]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(c(C),coantidomain(X0)),one) ->
% 168.34/168.40  true
% 168.34/168.40  Current number of equations to process: 2261
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1333
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2322]
% 168.34/168.40  leq(backward_box(A,B) addition multiplication(coantidomain(C),c(X0)),one) ->
% 168.34/168.40  true
% 168.34/168.40  Current number of equations to process: 2260
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1334
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2323]
% 168.34/168.40  leq(codomain(A) addition multiplication(backward_box(B,C),codomain(X0)),one)
% 168.34/168.40  -> true
% 168.34/168.40  Current number of equations to process: 2259
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1335
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2324]
% 168.34/168.40  leq(coantidomain(A) addition multiplication(backward_box(B,C),codomain(X0)),one)
% 168.34/168.40  -> true
% 168.34/168.40  Current number of equations to process: 2258
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1336
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2325]
% 168.34/168.40  leq(c(A) addition multiplication(backward_box(B,C),codomain(X0)),one) -> true
% 168.34/168.40  Current number of equations to process: 2257
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1337
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2326]
% 168.34/168.40  leq(multiplication(multiplication(backward_box(A,B),codomain(C)),codomain(X0)),one)
% 168.34/168.40  -> true
% 168.34/168.40  Current number of equations to process: 2256
% 168.34/168.40  Current number of ordered equations: 0
% 168.34/168.40  Current number of rules: 1338
% 168.34/168.40  New rule produced :
% 168.34/168.40  [2327]
% 168.34/168.40  leq(multiplication(multiplication(backward_box(A,B),codomain(C)),coantidomain(X0)),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2255
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1339
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2328]
% 168.56/168.62  leq(multiplication(codomain(A),multiplication(backward_box(B,C),codomain(X0))),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2254
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1340
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2329]
% 168.56/168.62  leq(multiplication(coantidomain(A),multiplication(backward_box(B,C),codomain(X0))),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2253
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1341
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2330]
% 168.56/168.62  one addition multiplication(multiplication(backward_box(A,B),codomain(C)),
% 168.56/168.62               c(X0)) -> one
% 168.56/168.62  Current number of equations to process: 2250
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1342
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2331]
% 168.56/168.62  one addition multiplication(c(A),multiplication(backward_box(B,C),codomain(X0)))
% 168.56/168.62  -> one
% 168.56/168.62  Current number of equations to process: 2249
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1343
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2332]
% 168.56/168.62  one addition multiplication(backward_box(A,B),multiplication(codomain(C),
% 168.56/168.62                                                codomain(X0))) -> one
% 168.56/168.62  Current number of equations to process: 2248
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1344
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2333]
% 168.56/168.62  one addition multiplication(backward_box(A,B),multiplication(codomain(C),
% 168.56/168.62                                                coantidomain(X0))) -> one
% 168.56/168.62  Current number of equations to process: 2247
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1345
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2334]
% 168.56/168.62  one addition multiplication(backward_box(A,B),multiplication(coantidomain(C),
% 168.56/168.62                                                codomain(X0))) -> one
% 168.56/168.62  Current number of equations to process: 2246
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1346
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2335]
% 168.56/168.62  leq(codomain(A) addition multiplication(codomain(B),backward_box(C,X0)),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2245
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1347
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2336]
% 168.56/168.62  leq(coantidomain(A) addition multiplication(codomain(B),backward_box(C,X0)),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2244
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1348
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2337]
% 168.56/168.62  leq(c(A) addition multiplication(codomain(B),backward_box(C,X0)),one) -> true
% 168.56/168.62  Current number of equations to process: 2243
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1349
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2338]
% 168.56/168.62  leq(multiplication(multiplication(codomain(A),backward_box(B,C)),codomain(X0)),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2242
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1350
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2339]
% 168.56/168.62  leq(multiplication(multiplication(codomain(A),backward_box(B,C)),coantidomain(X0)),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2241
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1351
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2340]
% 168.56/168.62  leq(multiplication(codomain(A),multiplication(codomain(B),backward_box(C,X0))),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2240
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1352
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2341]
% 168.56/168.62  leq(multiplication(coantidomain(A),multiplication(codomain(B),backward_box(C,X0))),one)
% 168.56/168.62  -> true
% 168.56/168.62  Current number of equations to process: 2239
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1353
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2342]
% 168.56/168.62  one addition multiplication(multiplication(codomain(A),backward_box(B,C)),
% 168.56/168.62               c(X0)) -> one
% 168.56/168.62  Current number of equations to process: 2236
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1354
% 168.56/168.62  New rule produced :
% 168.56/168.62  [2343]
% 168.56/168.62  one addition multiplication(c(A),multiplication(codomain(B),backward_box(C,X0)))
% 168.56/168.62  -> one
% 168.56/168.62  Current number of equations to process: 2235
% 168.56/168.62  Current number of ordered equations: 0
% 168.56/168.62  Current number of rules: 1355
% 168.56/168.62  New rule produced :
% 168.87/168.97  [2344]
% 168.87/168.97  one addition multiplication(multiplication(codomain(A),codomain(B)),backward_box(C,X0))
% 168.87/168.97  -> one
% 168.87/168.97  Current number of equations to process: 2234
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1356
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2345]
% 168.87/168.97  one addition multiplication(multiplication(codomain(A),coantidomain(B)),
% 168.87/168.97               backward_box(C,X0)) -> one
% 168.87/168.97  Current number of equations to process: 2233
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1357
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2346]
% 168.87/168.97  one addition multiplication(multiplication(coantidomain(A),codomain(B)),
% 168.87/168.97               backward_box(C,X0)) -> one
% 168.87/168.97  Current number of equations to process: 2232
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1358
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2347]
% 168.87/168.97  leq(codomain(A) addition multiplication(backward_box(B,C),coantidomain(X0)),one)
% 168.87/168.97  -> true
% 168.87/168.97  Current number of equations to process: 2231
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1359
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2348]
% 168.87/168.97  leq(coantidomain(A) addition multiplication(backward_box(B,C),coantidomain(X0)),one)
% 168.87/168.97  -> true
% 168.87/168.97  Current number of equations to process: 2230
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1360
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2349]
% 168.87/168.97  leq(c(A) addition multiplication(backward_box(B,C),coantidomain(X0)),one) ->
% 168.87/168.97  true
% 168.87/168.97  Current number of equations to process: 2229
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1361
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2350]
% 168.87/168.97  leq(multiplication(multiplication(backward_box(A,B),coantidomain(C)),
% 168.87/168.97      codomain(X0)),one) -> true
% 168.87/168.97  Current number of equations to process: 2228
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1362
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2351]
% 168.87/168.97  leq(multiplication(multiplication(backward_box(A,B),coantidomain(C)),
% 168.87/168.97      coantidomain(X0)),one) -> true
% 168.87/168.97  Current number of equations to process: 2227
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1363
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2352]
% 168.87/168.97  leq(multiplication(codomain(A),multiplication(backward_box(B,C),coantidomain(X0))),one)
% 168.87/168.97  -> true
% 168.87/168.97  Current number of equations to process: 2226
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1364
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2353]
% 168.87/168.97  leq(multiplication(coantidomain(A),multiplication(backward_box(B,C),coantidomain(X0))),one)
% 168.87/168.97  -> true
% 168.87/168.97  Current number of equations to process: 2225
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1365
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2354]
% 168.87/168.97  one addition multiplication(multiplication(backward_box(A,B),coantidomain(C)),
% 168.87/168.97               c(X0)) -> one
% 168.87/168.97  Current number of equations to process: 2222
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1366
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2355]
% 168.87/168.97  one addition multiplication(c(A),multiplication(backward_box(B,C),coantidomain(X0)))
% 168.87/168.97  -> one
% 168.87/168.97  Current number of equations to process: 2221
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1367
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2356]
% 168.87/168.97  one addition multiplication(backward_box(A,B),multiplication(coantidomain(C),
% 168.87/168.97                                                coantidomain(X0))) -> one
% 168.87/168.97  Current number of equations to process: 2218
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1368
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2357]
% 168.87/168.97  leq(codomain(A) addition multiplication(coantidomain(B),backward_box(C,X0)),one)
% 168.87/168.97  -> true
% 168.87/168.97  Current number of equations to process: 2217
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1369
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2358]
% 168.87/168.97  leq(coantidomain(A) addition multiplication(coantidomain(B),backward_box(C,X0)),one)
% 168.87/168.97  -> true
% 168.87/168.97  Current number of equations to process: 2216
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1370
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2359]
% 168.87/168.97  leq(c(A) addition multiplication(coantidomain(B),backward_box(C,X0)),one) ->
% 168.87/168.97  true
% 168.87/168.97  Current number of equations to process: 2215
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1371
% 168.87/168.97  New rule produced :
% 168.87/168.97  [2360]
% 168.87/168.97  leq(multiplication(multiplication(coantidomain(A),backward_box(B,C)),
% 168.87/168.97      codomain(X0)),one) -> true
% 168.87/168.97  Current number of equations to process: 2214
% 168.87/168.97  Current number of ordered equations: 0
% 168.87/168.97  Current number of rules: 1372
% 168.87/168.97  New rule produced :
% 173.55/173.59  [2361]
% 173.55/173.59  leq(multiplication(multiplication(coantidomain(A),backward_box(B,C)),
% 173.55/173.59      coantidomain(X0)),one) -> true
% 173.55/173.59  Current number of equations to process: 2213
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1373
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2362]
% 173.55/173.59  leq(multiplication(codomain(A),multiplication(coantidomain(B),backward_box(C,X0))),one)
% 173.55/173.59  -> true
% 173.55/173.59  Current number of equations to process: 2212
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1374
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2363]
% 173.55/173.59  leq(multiplication(coantidomain(A),multiplication(coantidomain(B),backward_box(C,X0))),one)
% 173.55/173.59  -> true
% 173.55/173.59  Current number of equations to process: 2211
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1375
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2364]
% 173.55/173.59  one addition multiplication(multiplication(coantidomain(A),backward_box(B,C)),
% 173.55/173.59               c(X0)) -> one
% 173.55/173.59  Current number of equations to process: 2208
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1376
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2365]
% 173.55/173.59  one addition multiplication(c(A),multiplication(coantidomain(B),backward_box(C,X0)))
% 173.55/173.59  -> one
% 173.55/173.59  Current number of equations to process: 2207
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1377
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2366]
% 173.55/173.59  one addition multiplication(multiplication(coantidomain(A),coantidomain(B)),
% 173.55/173.59               backward_box(C,X0)) -> one
% 173.55/173.59  Current number of equations to process: 2204
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1378
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2367]
% 173.55/173.59  leq(backward_box(A,B) addition backward_box(C,X0),one addition X1) -> true
% 173.55/173.59  Current number of equations to process: 2426
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1379
% 173.55/173.59  New rule produced : [2368] c(forward_diamond(c(A),c(A))) -> c(c(A))
% 173.55/173.59  Current number of equations to process: 2434
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1380
% 173.55/173.59  New rule produced : [2369] leq(multiplication(A,backward_box(B,C)),A) -> true
% 173.55/173.59  Rule
% 173.55/173.59  [852]
% 173.55/173.59  leq(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),A) -> true
% 173.55/173.59  collapsed.
% 173.55/173.59  Current number of equations to process: 2439
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1380
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2370] leq(multiplication(A,backward_box(B,C)),A addition X0) -> true
% 173.55/173.59  Rule
% 173.55/173.59  [907]
% 173.55/173.59  leq(multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)),A addition B)
% 173.55/173.59  -> true collapsed.
% 173.55/173.59  Current number of equations to process: 2459
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1380
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2371] leq(multiplication(backward_box(A,B),c(C)),one) -> true
% 173.55/173.59  Current number of equations to process: 2476
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1381
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2372] leq(multiplication(backward_box(A,B),c(C)),one addition X0) -> true
% 173.55/173.59  Current number of equations to process: 2555
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1382
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2373]
% 173.55/173.59  leq(multiplication(multiplication(A,backward_diamond(B,C)),c(X0)),A) -> true
% 173.55/173.59  Current number of equations to process: 2554
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1383
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2374]
% 173.55/173.59  leq(multiplication(multiplication(backward_diamond(A,B),C),c(X0)),C) -> true
% 173.55/173.59  Current number of equations to process: 2553
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1384
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2375]
% 173.55/173.59  leq(multiplication(multiplication(coantidomain(A),codomain(B)),c(C)),one) ->
% 173.55/173.59  true
% 173.55/173.59  Current number of equations to process: 2552
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1385
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2376]
% 173.55/173.59  leq(multiplication(multiplication(codomain(A),codomain(B)),c(C)),one) -> true
% 173.55/173.59  Current number of equations to process: 2551
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1386
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2377] leq(multiplication(multiplication(c(A),codomain(B)),c(C)),one) -> true
% 173.55/173.59  Current number of equations to process: 2550
% 173.55/173.59  Current number of ordered equations: 0
% 173.55/173.59  Current number of rules: 1387
% 173.55/173.59  New rule produced :
% 173.55/173.59  [2378]
% 173.55/173.59  leq(multiplication(multiplication(codomain(A),coantidomain(B)),c(C)),one) ->
% 173.55/173.59  true
% 173.55/173.59  Current number of equations to process: 2549
% 173.55/173.59  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1388
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2379] leq(multiplication(multiplication(codomain(A),c(B)),c(C)),one) -> true
% 177.77/177.89  Current number of equations to process: 2548
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1389
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2380]
% 177.77/177.89  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),c(C)),one)
% 177.77/177.89  -> true
% 177.77/177.89  Current number of equations to process: 2547
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1390
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2381]
% 177.77/177.89  leq(multiplication(multiplication(c(A),coantidomain(B)),c(C)),one) -> true
% 177.77/177.89  Current number of equations to process: 2546
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1391
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2382]
% 177.77/177.89  leq(multiplication(multiplication(coantidomain(A),c(B)),c(C)),one) -> true
% 177.77/177.89  Current number of equations to process: 2545
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1392
% 177.77/177.89  New rule produced : [2383] c(c(backward_box(A,B))) -> backward_box(A,B)
% 177.77/177.89  Current number of equations to process: 2725
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1393
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2384] multiplication(multiplication(A,c(c(B))),B) -> multiplication(A,B)
% 177.77/177.89  Current number of equations to process: 2751
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1394
% 177.77/177.89  New rule produced : [2385] leq(codomain(A),c(c(codomain(A)))) -> true
% 177.77/177.89  Current number of equations to process: 2756
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1395
% 177.77/177.89  New rule produced : [2386] leq(coantidomain(A),c(c(coantidomain(A)))) -> true
% 177.77/177.89  Current number of equations to process: 2755
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1396
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2387] c(c(codomain(A))) addition codomain(A) -> c(c(codomain(A)))
% 177.77/177.89  Current number of equations to process: 2794
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1397
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2388]
% 177.77/177.89  c(c(coantidomain(A))) addition coantidomain(A) -> c(c(coantidomain(A)))
% 177.77/177.89  Current number of equations to process: 2793
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1398
% 177.77/177.89  New rule produced : [2389] forward_diamond(c(A),c(A)) -> c(A)
% 177.77/177.89  Rule [2368] c(forward_diamond(c(A),c(A))) -> c(c(A)) collapsed.
% 177.77/177.89  Current number of equations to process: 2800
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1398
% 177.77/177.89  New rule produced : [2390] forward_diamond(c(c(A)),A) -> c(c(A))
% 177.77/177.89  Current number of equations to process: 2799
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1399
% 177.77/177.89  New rule produced : [2391] c(backward_box(c(c(A)),A)) -> zero
% 177.77/177.89  Current number of equations to process: 2886
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1400
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2392] leq(codomain(A),c(c(codomain(A))) addition B) -> true
% 177.77/177.89  Current number of equations to process: 2885
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1401
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2393] leq(coantidomain(A),c(c(coantidomain(A))) addition B) -> true
% 177.77/177.89  Current number of equations to process: 2884
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1402
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2394] codomain(A) addition coantidomain(backward_diamond(A,c(c(A)))) -> one
% 177.77/177.89  Current number of equations to process: 2883
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1403
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2395] leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A))))) -> true
% 177.77/177.89  Current number of equations to process: 2882
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1404
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2396] multiplication(multiplication(c(A),codomain(B)),c(c(A))) -> zero
% 177.77/177.89  Current number of equations to process: 2881
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1405
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2397] multiplication(multiplication(c(A),coantidomain(B)),c(c(A))) -> zero
% 177.77/177.89  Current number of equations to process: 2880
% 177.77/177.89  Current number of ordered equations: 0
% 177.77/177.89  Current number of rules: 1406
% 177.77/177.89  New rule produced :
% 177.77/177.89  [2398]
% 177.77/177.89  forward_diamond(c(c(B)) addition A,B) -> forward_diamond(one addition A,B)
% 177.77/177.89  Current number of equations to process: 2879
% 177.77/177.89  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1407
% 181.07/181.18  New rule produced : [2399] backward_diamond(c(c(A)),c(A)) -> zero
% 181.07/181.18  Rule [767] coantidomain(backward_diamond(c(c(A)),c(A))) -> one collapsed.
% 181.07/181.18  Current number of equations to process: 2882
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1407
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2400] backward_diamond(A,multiplication(codomain(c(B)),c(c(B)))) -> zero
% 181.07/181.18  Current number of equations to process: 2886
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1408
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2401] multiplication(codomain(A),c(c(coantidomain(A)))) -> zero
% 181.07/181.18  Current number of equations to process: 2892
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1409
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2402] multiplication(codomain(A),c(c(codomain(A)))) -> c(c(codomain(A)))
% 181.07/181.18  Current number of equations to process: 2901
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1410
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2403]
% 181.07/181.18  multiplication(multiplication(A,coantidomain(B)),c(c(codomain(B)))) -> zero
% 181.07/181.18  Current number of equations to process: 2900
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1411
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2404]
% 181.07/181.18  multiplication(coantidomain(A),multiplication(c(c(codomain(A))),B)) -> zero
% 181.07/181.18  Current number of equations to process: 2899
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1412
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2405]
% 181.07/181.18  coantidomain(backward_diamond(c(c(codomain(A))),coantidomain(A))) -> one
% 181.07/181.18  Current number of equations to process: 2906
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1413
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2406]
% 181.07/181.18  forward_diamond(c(B) addition A,c(B)) -> forward_diamond(one addition A,c(B))
% 181.07/181.18  Current number of equations to process: 2910
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1414
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2407] coantidomain(backward_diamond(c(c(A)),multiplication(B,c(A)))) -> one
% 181.07/181.18  Current number of equations to process: 2917
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1415
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2408] coantidomain(backward_diamond(multiplication(c(c(A)),B),c(A))) -> one
% 181.07/181.18  Current number of equations to process: 2929
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1416
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2409]
% 181.07/181.18  forward_diamond(backward_box(A,B),backward_box(A,B)) -> backward_box(A,B)
% 181.07/181.18  Current number of equations to process: 2936
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1417
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2410]
% 181.07/181.18  multiplication(coantidomain(A),multiplication(coantidomain(B),c(c(codomain(A)))))
% 181.07/181.18  -> zero
% 181.07/181.18  Current number of equations to process: 3086
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1418
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2411]
% 181.07/181.18  multiplication(coantidomain(A),multiplication(codomain(B),c(c(codomain(A)))))
% 181.07/181.18  -> zero
% 181.07/181.18  Current number of equations to process: 3085
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1419
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2412]
% 181.07/181.18  multiplication(coantidomain(backward_diamond(A,B)),c(c(backward_diamond(A,B))))
% 181.07/181.18  -> zero
% 181.07/181.18  Current number of equations to process: 3084
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1420
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2413]
% 181.07/181.18  multiplication(forward_diamond(A,c(B)),multiplication(A,c(B))) ->
% 181.07/181.18  multiplication(A,c(B))
% 181.07/181.18  Current number of equations to process: 3087
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1421
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2414]
% 181.07/181.18  multiplication(c(backward_box(A,B)),backward_diamond(A,c(B))) ->
% 181.07/181.18  backward_diamond(A,c(B))
% 181.07/181.18  Current number of equations to process: 3086
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1422
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2415] c(forward_diamond(backward_box(A,B),c(backward_box(A,B)))) -> one
% 181.07/181.18  Current number of equations to process: 3088
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1423
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2416]
% 181.07/181.18  coantidomain(backward_diamond(c(backward_box(A,B)),backward_box(A,B))) -> one
% 181.07/181.18  Current number of equations to process: 3092
% 181.07/181.18  Current number of ordered equations: 0
% 181.07/181.18  Current number of rules: 1424
% 181.07/181.18  New rule produced :
% 181.07/181.18  [2417] forward_diamond(multiplication(A,c(c(B))),B) -> forward_diamond(A,B)
% 188.52/188.58  Current number of equations to process: 3099
% 188.52/188.58  Current number of ordered equations: 0
% 188.52/188.58  Current number of rules: 1425
% 188.52/188.58  New rule produced :
% 188.52/188.58  [2418]
% 188.52/188.58  forward_diamond(multiplication(A,c(B)),c(B)) -> forward_diamond(A,c(B))
% 188.52/188.58  Current number of equations to process: 3098
% 188.52/188.58  Current number of ordered equations: 0
% 188.52/188.58  Current number of rules: 1426
% 188.52/188.58  New rule produced :
% 188.52/188.58  [2419] multiplication(coantidomain(A),c(codomain(A))) -> coantidomain(A)
% 188.52/188.58  Current number of equations to process: 3386
% 188.52/188.58  Current number of ordered equations: 0
% 188.52/188.58  Current number of rules: 1427
% 188.52/188.58  Rule [362]
% 188.52/188.58       backward_box(A,backward_diamond(B,backward_box(C,X0))) <->
% 188.52/188.58       c(backward_diamond(A,backward_box(B,backward_diamond(C,c(X0))))) is composed into 
% 188.52/188.58  [362]
% 188.52/188.58  backward_box(A,backward_diamond(B,backward_box(C,X0))) <->
% 188.52/188.58  c(backward_diamond(A,backward_box(B,c(backward_box(C,X0)))))
% 188.52/188.58  Rule [56]
% 188.52/188.58       c(backward_diamond(A,backward_box(B,C))) <->
% 188.52/188.58       backward_box(A,backward_diamond(B,c(C))) is composed into [56]
% 188.52/188.58                                                                 c(backward_diamond(A,
% 188.52/188.58                                                                   backward_box(B,C)))
% 188.52/188.58                                                                 ->
% 188.52/188.58                                                                 backward_box(A,
% 188.52/188.58                                                                 c(backward_box(B,C)))
% 188.52/188.58  New rule produced :
% 188.52/188.58  [2420]
% 188.52/188.58  backward_box(A,backward_diamond(B,c(C))) ->
% 188.52/188.58  backward_box(A,c(backward_box(B,C)))
% 188.52/188.58  Rule
% 188.52/188.58  [57]
% 188.52/188.58  backward_box(A,backward_diamond(B,c(C))) <->
% 188.52/188.58  c(backward_diamond(A,backward_box(B,C))) collapsed.
% 188.52/188.58  Rule
% 188.52/188.58  [361]
% 188.52/188.58  c(backward_diamond(A,backward_box(B,backward_diamond(C,c(X0))))) <->
% 188.52/188.58  backward_box(A,backward_diamond(B,backward_box(C,X0))) collapsed.
% 188.52/188.58  Rule
% 188.52/188.58  [480]
% 188.52/188.58  backward_box(coantidomain(backward_box(A,B)),backward_diamond(A,c(B))) -> one
% 188.52/188.58  collapsed.
% 188.52/188.58  Rule
% 188.52/188.58  [1284]
% 188.52/188.58  forward_diamond(backward_box(A,backward_diamond(B,c(C))),backward_diamond(A,
% 188.52/188.58                                                           backward_box(B,C)))
% 188.52/188.58  -> zero collapsed.
% 188.52/188.58  Rule
% 188.52/188.58  [1536]
% 188.52/188.58  backward_box(multiplication(coantidomain(backward_box(A,B)),C),backward_diamond(A,
% 188.52/188.58                                                                 c(B))) -> one
% 188.52/188.58  collapsed.
% 188.52/188.58  Current number of equations to process: 3716
% 188.52/188.58  Current number of ordered equations: 0
% 188.52/188.58  Current number of rules: 1423
% 188.52/188.58  New rule produced :
% 188.52/188.58  [2421]
% 188.52/188.58  backward_box(coantidomain(backward_box(A,B)),c(backward_box(A,B))) -> one
% 188.52/188.58  Current number of equations to process: 3715
% 188.52/188.58  Current number of ordered equations: 0
% 188.52/188.58  Current number of rules: 1424
% 188.52/188.58  New rule produced :
% 188.52/188.58  [2422]
% 188.52/188.58  forward_diamond(backward_box(sK3_goals_X0,sK1_goals_X2),c(sK2_goals_X1)) ->
% 188.52/188.58  c(sK2_goals_X1)
% 188.52/188.58  Current number of equations to process: 3720
% 188.52/188.58  Current number of ordered equations: 0
% 188.52/188.58  Current number of rules: 1425
% 188.52/188.58  New rule produced :
% 188.52/188.58  [2423]
% 188.52/188.58  backward_box(sK3_goals_X0,sK1_goals_X2) addition c(sK2_goals_X1) ->
% 188.52/188.58  backward_box(sK3_goals_X0,sK1_goals_X2)
% 188.52/188.58  Current number of equations to process: 3833
% 188.52/188.58  Current number of ordered equations: 0
% 188.52/188.58  Current number of rules: 1426
% 188.52/188.58  New rule produced :
% 188.52/188.58  [2424]
% 188.52/188.58  multiplication(c(sK2_goals_X1),multiplication(coantidomain(backward_box(sK3_goals_X0,sK1_goals_X2)),A))
% 188.52/188.59  -> zero
% 188.52/188.59  Current number of equations to process: 3833
% 188.52/188.59  Current number of ordered equations: 0
% 188.52/188.59  Current number of rules: 1427
% 188.52/188.59  New rule produced :
% 188.52/188.59  [2425]
% 188.52/188.59  multiplication(c(sK2_goals_X1),coantidomain(backward_box(sK3_goals_X0,sK1_goals_X2)))
% 188.52/188.59  -> zero
% 188.52/188.59  Current number of equations to process: 3834
% 188.52/188.59  Current number of ordered equations: 0
% 188.52/188.59  Current number of rules: 1428
% 188.52/188.59  New rule produced :
% 188.52/188.59  [2426]
% 188.52/188.59  multiplication(c(sK2_goals_X1),codomain(backward_box(sK3_goals_X0,sK1_goals_X2)))
% 188.52/188.59  -> c(sK2_goals_X1)
% 188.52/188.59  Current number of equations to process: 3839
% 188.52/188.59  Current number of ordered equations: 0
% 188.52/188.59  Current number of rules: 1429
% 188.52/188.59  New rule produced :
% 188.52/188.59  [2427]
% 188.52/188.59  forward_diamond(c(sK2_goals_X1),backward_diamond(sK3_goals_X0,c(sK1_goals_X2)))
% 188.52/188.59  -> zero
% 188.52/188.59  Current number of equations to process: 3852
% 188.52/188.59  Current number of ordered equations: 0
% 188.52/188.59  Current number of rules: 1430
% 188.52/188.59  New rule produced :
% 188.52/188.59  [2428]
% 188.52/188.59  leq(backward_box(sK3_goals_X0,sK1_goals_X2),codomain(backward_box(sK3_goals_X0,sK1_goals_X2)))
% 188.52/188.59  -> true
% 188.52/188.59  Current number of equations to process: 3857
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1431
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2429]
% 189.38/189.45  multiplication(c(sK2_goals_X1),multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A))
% 189.38/189.45  -> multiplication(c(sK2_goals_X1),A)
% 189.38/189.45  Current number of equations to process: 3856
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1432
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2430]
% 189.38/189.45  coantidomain(backward_diamond(multiplication(coantidomain(A),B),multiplication(C,
% 189.38/189.45                                                                  codomain(A))))
% 189.38/189.45  -> one
% 189.38/189.45  Current number of equations to process: 3883
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1433
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2431]
% 189.38/189.45  forward_diamond(backward_box(sK3_goals_X0,sK1_goals_X2) addition A,c(sK2_goals_X1))
% 189.38/189.45  -> forward_diamond(one addition A,c(sK2_goals_X1))
% 189.38/189.45  Current number of equations to process: 3882
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1434
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2432]
% 189.38/189.45  backward_box(multiplication(coantidomain(backward_box(A,B)),C),c(backward_box(A,B)))
% 189.38/189.45  -> one
% 189.38/189.45  Current number of equations to process: 3912
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1435
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2433]
% 189.38/189.45  leq(multiplication(multiplication(forward_diamond(A,B),codomain(C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3911
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1436
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2434]
% 189.38/189.45  leq(multiplication(multiplication(backward_diamond(A,B),codomain(C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3910
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1437
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2435]
% 189.38/189.45  leq(multiplication(multiplication(codomain(A),forward_diamond(B,C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3909
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1438
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2436]
% 189.38/189.45  leq(multiplication(multiplication(codomain(A),backward_diamond(B,C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3908
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1439
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2437]
% 189.38/189.45  leq(multiplication(multiplication(forward_diamond(A,B),coantidomain(C)),
% 189.38/189.45      c(X0)),one) -> true
% 189.38/189.45  Current number of equations to process: 3907
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1440
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2438]
% 189.38/189.45  leq(multiplication(multiplication(backward_diamond(A,B),coantidomain(C)),
% 189.38/189.45      c(X0)),one) -> true
% 189.38/189.45  Current number of equations to process: 3906
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1441
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2439]
% 189.38/189.45  leq(multiplication(multiplication(coantidomain(A),forward_diamond(B,C)),
% 189.38/189.45      c(X0)),one) -> true
% 189.38/189.45  Current number of equations to process: 3905
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1442
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2440]
% 189.38/189.45  leq(multiplication(multiplication(coantidomain(A),backward_diamond(B,C)),
% 189.38/189.45      c(X0)),one) -> true
% 189.38/189.45  Current number of equations to process: 3904
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1443
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2441]
% 189.38/189.45  leq(multiplication(multiplication(backward_box(A,B),codomain(C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3903
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1444
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2442]
% 189.38/189.45  leq(multiplication(multiplication(codomain(A),backward_box(B,C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3902
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1445
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2443]
% 189.38/189.45  leq(multiplication(multiplication(backward_box(A,B),coantidomain(C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3901
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1446
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2444]
% 189.38/189.45  leq(multiplication(multiplication(coantidomain(A),backward_box(B,C)),c(X0)),one)
% 189.38/189.45  -> true
% 189.38/189.45  Current number of equations to process: 3900
% 189.38/189.45  Current number of ordered equations: 0
% 189.38/189.45  Current number of rules: 1447
% 189.38/189.45  New rule produced :
% 189.38/189.45  [2445]
% 189.38/189.45  leq(multiplication(A,backward_box(B,C)) addition X0,A addition X0) -> true
% 189.38/189.45  Current number of equations to process: 3899
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1448
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2446]
% 189.63/189.69  leq(coantidomain(A),coantidomain(backward_diamond(A,c(c(A)))) addition B) ->
% 189.63/189.69  true
% 189.63/189.69  Current number of equations to process: 3898
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1449
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2447]
% 189.63/189.69  multiplication(multiplication(A,c(c(B))),multiplication(B,C)) ->
% 189.63/189.69  multiplication(A,multiplication(B,C))
% 189.63/189.69  Current number of equations to process: 3897
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1450
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2448] leq(codomain(A) addition B,c(c(codomain(A))) addition B) -> true
% 189.63/189.69  Current number of equations to process: 3892
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1451
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2449]
% 189.63/189.69  leq(coantidomain(A) addition B,c(c(coantidomain(A))) addition B) -> true
% 189.63/189.69  Current number of equations to process: 3891
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1452
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2450]
% 189.63/189.69  backward_diamond(A,B) addition c(c(backward_diamond(A,B))) ->
% 189.63/189.69  c(c(backward_diamond(A,B)))
% 189.63/189.69  Current number of equations to process: 3890
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1453
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2451]
% 189.63/189.69  multiplication(multiplication(A,coantidomain(B)),multiplication(c(c(codomain(B))),C))
% 189.63/189.69  -> zero
% 189.63/189.69  Current number of equations to process: 3886
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1454
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2452]
% 189.63/189.69  multiplication(multiplication(A,c(B)),multiplication(coantidomain(C),c(c(B))))
% 189.63/189.69  -> zero
% 189.63/189.69  Current number of equations to process: 3876
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1455
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2453]
% 189.63/189.69  multiplication(multiplication(A,c(B)),multiplication(codomain(C),c(c(B)))) ->
% 189.63/189.69  zero
% 189.63/189.69  Current number of equations to process: 3875
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1456
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2454]
% 189.63/189.69  multiplication(multiplication(c(A),codomain(B)),multiplication(c(c(A)),C)) ->
% 189.63/189.69  zero
% 189.63/189.69  Current number of equations to process: 3873
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1457
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2455]
% 189.63/189.69  multiplication(multiplication(c(A),coantidomain(B)),multiplication(c(c(A)),C))
% 189.63/189.69  -> zero
% 189.63/189.69  Current number of equations to process: 3872
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1458
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2456]
% 189.63/189.69  multiplication(multiplication(backward_box(A,B),codomain(C)),c(backward_box(A,B)))
% 189.63/189.69  -> zero
% 189.63/189.69  Current number of equations to process: 3869
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1459
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2457]
% 189.63/189.69  multiplication(multiplication(backward_box(A,B),coantidomain(C)),c(backward_box(A,B)))
% 189.63/189.69  -> zero
% 189.63/189.69  Current number of equations to process: 3868
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1460
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2458]
% 189.63/189.69  forward_diamond(multiplication(A,c(c(C))) addition B,C) ->
% 189.63/189.69  forward_diamond(A addition B,C)
% 189.63/189.69  Current number of equations to process: 3867
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1461
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2459]
% 189.63/189.69  multiplication(c(c(A)),coantidomain(c(A) addition B)) ->
% 189.63/189.69  coantidomain(c(A) addition B)
% 189.63/189.69  Current number of equations to process: 3866
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1462
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2460]
% 189.63/189.69  coantidomain(backward_diamond(multiplication(c(c(A)),B),multiplication(C,
% 189.63/189.69                                                          c(A)))) -> one
% 189.63/189.69  Current number of equations to process: 3865
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1463
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2461]
% 189.63/189.69  multiplication(A,backward_box(sK3_goals_X0,sK1_goals_X2)) addition multiplication(A,
% 189.63/189.69                                                                     c(
% 189.63/189.69                                                                     c(sK2_goals_X1)))
% 189.63/189.69  -> A
% 189.63/189.69  Current number of equations to process: 3864
% 189.63/189.69  Current number of ordered equations: 0
% 189.63/189.69  Current number of rules: 1464
% 189.63/189.69  New rule produced :
% 189.63/189.69  [2462]
% 189.63/189.69  multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A) addition multiplication(
% 189.63/189.69                                                                     c(
% 198.12/198.19                                                                     c(sK2_goals_X1)),A)
% 198.12/198.19  -> A
% 198.12/198.19  Current number of equations to process: 3863
% 198.12/198.19  Current number of ordered equations: 0
% 198.12/198.19  Current number of rules: 1465
% 198.12/198.19  New rule produced :
% 198.12/198.19  [2463]
% 198.12/198.19  multiplication(multiplication(c(sK2_goals_X1),A),coantidomain(multiplication(
% 198.12/198.19                                                                backward_box(sK3_goals_X0,sK1_goals_X2),A)))
% 198.12/198.19  -> zero
% 198.12/198.19  Current number of equations to process: 3862
% 198.12/198.19  Current number of ordered equations: 0
% 198.12/198.19  Current number of rules: 1466
% 198.12/198.19  New rule produced :
% 198.12/198.19  [2464]
% 198.12/198.19  multiplication(multiplication(A,c(sK2_goals_X1)),multiplication(coantidomain(
% 198.12/198.19                                                                  backward_box(sK3_goals_X0,sK1_goals_X2)),B))
% 198.12/198.19  -> zero
% 198.12/198.19  Current number of equations to process: 3861
% 198.12/198.19  Current number of ordered equations: 0
% 198.12/198.19  Current number of rules: 1467
% 198.12/198.19  New rule produced :
% 198.12/198.19  [2465]
% 198.12/198.19  codomain(c(sK2_goals_X1)) addition coantidomain(backward_diamond(backward_box(sK3_goals_X0,sK1_goals_X2),
% 198.12/198.20                                                  c(sK2_goals_X1))) -> one
% 198.12/198.20  Current number of equations to process: 3860
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1468
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2466]
% 198.12/198.20  leq(coantidomain(c(sK2_goals_X1)),coantidomain(backward_diamond(backward_box(sK3_goals_X0,sK1_goals_X2),
% 198.12/198.20                                                 c(sK2_goals_X1)))) -> true
% 198.12/198.20  Current number of equations to process: 3859
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1469
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2467]
% 198.12/198.20  c(sK2_goals_X1) addition multiplication(c(c(sK2_goals_X1)),backward_box(sK3_goals_X0,sK1_goals_X2))
% 198.12/198.20  -> backward_box(sK3_goals_X0,sK1_goals_X2)
% 198.12/198.20  Current number of equations to process: 3858
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1470
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2468]
% 198.12/198.20  leq(multiplication(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),A),B),
% 198.12/198.20  multiplication(A,B)) -> true
% 198.12/198.20  Current number of equations to process: 3857
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1471
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2469]
% 198.12/198.20  c(forward_diamond(multiplication(A,backward_box(B,C)),c(backward_box(B,C))))
% 198.12/198.20  -> one
% 198.12/198.20  Current number of equations to process: 3856
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1472
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2470]
% 198.12/198.20  backward_box(A,multiplication(B,backward_box(C,X0))) ->
% 198.12/198.20  backward_box(A,forward_diamond(B,backward_box(C,X0)))
% 198.12/198.20  Current number of equations to process: 3861
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1473
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2471]
% 198.12/198.20  c(forward_diamond(c(sK2_goals_X1),backward_box(sK3_goals_X0,sK1_goals_X2)))
% 198.12/198.20  -> c(c(sK2_goals_X1))
% 198.12/198.20  Current number of equations to process: 3871
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1474
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2472]
% 198.12/198.20  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),forward_diamond(A,B)),one)
% 198.12/198.20  -> true
% 198.12/198.20  Current number of equations to process: 3882
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1475
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2473]
% 198.12/198.20  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 198.12/198.20                                                             c(A),B)),B) ->
% 198.12/198.20  true
% 198.12/198.20  Current number of equations to process: 3929
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1476
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2474]
% 198.12/198.20  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(A,
% 198.12/198.20                                                             c(B))),A) -> true
% 198.12/198.20  Current number of equations to process: 3928
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1477
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2475]
% 198.12/198.20  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),forward_diamond(A,B)),
% 198.12/198.20  one addition C) -> true
% 198.12/198.20  Current number of equations to process: 3927
% 198.12/198.20  Current number of ordered equations: 0
% 198.12/198.20  Current number of rules: 1478
% 198.12/198.20  New rule produced :
% 198.12/198.20  [2476]
% 198.12/198.20  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 198.12/198.20                                                             forward_diamond(A,B),C)),C)
% 198.12/198.20  -> true
% 198.12/198.20  Current number of equations to process: 3926
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1479
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2477]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(A,
% 199.56/199.67                                                             codomain(B))),A)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 3940
% 199.56/199.67  Current number of ordered equations: 1
% 199.56/199.67  Current number of rules: 1480
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2478]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(A,
% 199.56/199.67                                                             coantidomain(B))),A)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 3940
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1481
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2479]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 199.56/199.67                                                             codomain(A),B)),B)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 3949
% 199.56/199.67  Current number of ordered equations: 1
% 199.56/199.67  Current number of rules: 1482
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2480]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 199.56/199.67                                                             coantidomain(A),B)),B)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 3949
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1483
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2481]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),backward_diamond(A,B)),one)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 3955
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1484
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2482]
% 199.56/199.67  leq(backward_box(sK3_goals_X0,sK1_goals_X2),codomain(backward_box(sK3_goals_X0,sK1_goals_X2)) addition A)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 3955
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1485
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2483]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),backward_diamond(A,B)),
% 199.56/199.67  one addition C) -> true
% 199.56/199.67  Current number of equations to process: 3954
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1486
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2484]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),backward_box(A,B)),one)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 3971
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1487
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2485]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),backward_box(A,B)),
% 199.56/199.67  one addition C) -> true
% 199.56/199.67  Current number of equations to process: 4013
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1488
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2486]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 199.56/199.67                                                             backward_diamond(A,B),C)),C)
% 199.56/199.67  -> true
% 199.56/199.67  Current number of equations to process: 4012
% 199.56/199.67  Current number of ordered equations: 0
% 199.56/199.67  Current number of rules: 1489
% 199.56/199.67  New rule produced :
% 199.56/199.67  [2487]
% 199.56/199.67  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 199.56/199.67                                                             coantidomain(A),
% 199.56/199.67                                                             codomain(B))),one)
% 199.56/199.68  -> true
% 199.56/199.68  Current number of equations to process: 4011
% 199.56/199.68  Current number of ordered equations: 0
% 199.56/199.68  Current number of rules: 1490
% 199.56/199.68  New rule produced :
% 199.56/199.68  [2488]
% 199.56/199.68  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 199.56/199.68                                                             codomain(A),
% 199.56/199.68                                                             codomain(B))),one)
% 199.56/199.68  -> true
% 199.56/199.68  Current number of equations to process: 4010
% 199.56/199.68  Current number of ordered equations: 0
% 199.56/199.68  Current number of rules: 1491
% 199.56/199.68  New rule produced :
% 199.56/199.68  [2489]
% 199.56/199.68  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 199.56/199.68                                                             c(A),codomain(B))),one)
% 199.56/199.68  -> true
% 199.56/199.68  Current number of equations to process: 4009
% 199.56/199.68  Current number of ordered equations: 0
% 199.56/199.68  Current number of rules: 1492
% 199.56/199.68  New rule produced :
% 199.56/199.68  [2490]
% 199.56/199.68  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 199.56/199.68                                                             codomain(A),
% 199.56/199.68                                                             coantidomain(B))),one)
% 202.83/202.92  -> true
% 202.83/202.92  Current number of equations to process: 4008
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1493
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2491]
% 202.83/202.92  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 202.83/202.92                                                             codomain(A),
% 202.83/202.92                                                             c(B))),one) ->
% 202.83/202.92  true
% 202.83/202.92  Current number of equations to process: 4007
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1494
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2492]
% 202.83/202.92  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 202.83/202.92                                                             coantidomain(A),
% 202.83/202.92                                                             coantidomain(B))),one)
% 202.83/202.92  -> true
% 202.83/202.92  Current number of equations to process: 4006
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1495
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2493]
% 202.83/202.92  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 202.83/202.92                                                             c(A),coantidomain(B))),one)
% 202.83/202.92  -> true
% 202.83/202.92  Current number of equations to process: 4005
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1496
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2494]
% 202.83/202.92  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),multiplication(
% 202.83/202.92                                                             coantidomain(A),
% 202.83/202.92                                                             c(B))),one) ->
% 202.83/202.92  true
% 202.83/202.92  Current number of equations to process: 4004
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1497
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2495]
% 202.83/202.92  leq(codomain(A) addition codomain(B) addition coantidomain(C),one) -> true
% 202.83/202.92  Current number of equations to process: 4004
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1498
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2496]
% 202.83/202.92  leq(forward_diamond(A,B) addition codomain(C) addition codomain(X0),one) ->
% 202.83/202.92  true
% 202.83/202.92  Current number of equations to process: 4005
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1499
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2497] leq(codomain(A) addition codomain(B) addition codomain(C),one) -> true
% 202.83/202.92  Current number of equations to process: 4007
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1500
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2498] leq(c(A) addition codomain(B) addition codomain(C),one) -> true
% 202.83/202.92  Current number of equations to process: 4010
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1501
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2499]
% 202.83/202.92  leq(backward_diamond(A,B) addition codomain(C) addition codomain(X0),one) ->
% 202.83/202.92  true
% 202.83/202.92  Current number of equations to process: 4009
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1502
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2500]
% 202.83/202.92  leq(backward_box(A,B) addition codomain(C) addition codomain(X0),one) -> true
% 202.83/202.92  Current number of equations to process: 4053
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1503
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2501]
% 202.83/202.92  leq(codomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 202.83/202.92  true
% 202.83/202.92  Current number of equations to process: 4054
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1504
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2502]
% 202.83/202.92  leq(forward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 202.83/202.92  -> true
% 202.83/202.92  Current number of equations to process: 4055
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1505
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2503] leq(c(A) addition codomain(B) addition coantidomain(C),one) -> true
% 202.83/202.92  Current number of equations to process: 4060
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1506
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2504]
% 202.83/202.92  leq(backward_diamond(A,B) addition codomain(C) addition coantidomain(X0),one)
% 202.83/202.92  -> true
% 202.83/202.92  Current number of equations to process: 4059
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1507
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2505]
% 202.83/202.92  leq(backward_box(A,B) addition codomain(C) addition coantidomain(X0),one) ->
% 202.83/202.92  true
% 202.83/202.92  Current number of equations to process: 4104
% 202.83/202.92  Current number of ordered equations: 0
% 202.83/202.92  Current number of rules: 1508
% 202.83/202.92  New rule produced :
% 202.83/202.92  [2506]
% 202.83/202.92  leq(forward_diamond(A,B) addition c(C) addition codomain(X0),one) -> true
% 217.34/217.46  Current number of equations to process: 4106
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1509
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2507] leq(c(A) addition c(B) addition codomain(C),one) -> true
% 217.34/217.46  Current number of equations to process: 4113
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1510
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2508]
% 217.34/217.46  leq(backward_diamond(A,B) addition c(C) addition codomain(X0),one) -> true
% 217.34/217.46  Current number of equations to process: 4112
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1511
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2509] leq(backward_box(A,B) addition c(C) addition codomain(X0),one) -> true
% 217.34/217.46  Current number of equations to process: 4154
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1512
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2510]
% 217.34/217.46  leq(forward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 217.34/217.46  -> true
% 217.34/217.46  Current number of equations to process: 4155
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1513
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2511]
% 217.34/217.46  leq(coantidomain(A) addition coantidomain(B) addition coantidomain(C),one) ->
% 217.34/217.46  true
% 217.34/217.46  Current number of equations to process: 4157
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1514
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2512]
% 217.34/217.46  leq(c(A) addition coantidomain(B) addition coantidomain(C),one) -> true
% 217.34/217.46  Current number of equations to process: 4160
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1515
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2513]
% 217.34/217.46  leq(backward_diamond(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 217.34/217.46  -> true
% 217.34/217.46  Current number of equations to process: 4159
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1516
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2514]
% 217.34/217.46  leq(backward_box(A,B) addition coantidomain(C) addition coantidomain(X0),one)
% 217.34/217.46  -> true
% 217.34/217.46  Current number of equations to process: 4203
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1517
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2515]
% 217.34/217.46  leq(forward_diamond(A,B) addition c(C) addition coantidomain(X0),one) -> true
% 217.34/217.46  Current number of equations to process: 4204
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1518
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2516] leq(c(A) addition c(B) addition coantidomain(C),one) -> true
% 217.34/217.46  Current number of equations to process: 4211
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1519
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2517]
% 217.34/217.46  leq(backward_diamond(A,B) addition c(C) addition coantidomain(X0),one) ->
% 217.34/217.46  true
% 217.34/217.46  Current number of equations to process: 4210
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1520
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2518]
% 217.34/217.46  leq(backward_box(A,B) addition c(C) addition coantidomain(X0),one) -> true
% 217.34/217.46  Current number of equations to process: 4254
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1521
% 217.34/217.46  New rule produced :
% 217.34/217.46  [2519] leq(forward_diamond(A,B) addition c(C) addition c(X0),one) -> true
% 217.34/217.46  Current number of equations to process: 4255
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.46  Current number of rules: 1522
% 217.34/217.46  New rule produced : [2520] leq(c(A) addition c(B) addition c(C),one) -> true
% 217.34/217.46  Current number of equations to process: 4262
% 217.34/217.46  Current number of ordered equations: 0
% 217.34/217.47  Current number of rules: 1523
% 217.34/217.47  New rule produced :
% 217.34/217.47  [2521] leq(backward_diamond(A,B) addition c(C) addition c(X0),one) -> true
% 217.34/217.47  Current number of equations to process: 4261
% 217.34/217.47  Current number of ordered equations: 0
% 217.34/217.47  Current number of rules: 1524
% 217.34/217.47  New rule produced :
% 217.34/217.47  [2522] leq(backward_box(A,B) addition c(C) addition c(X0),one) -> true
% 217.34/217.47  Current number of equations to process: 4302
% 217.34/217.47  Current number of ordered equations: 0
% 217.34/217.47  Current number of rules: 1525
% 217.34/217.47  New rule produced :
% 217.34/217.47  [2523]
% 217.34/217.47  multiplication(multiplication(A,c(B)),multiplication(c(B),C)) ->
% 217.34/217.47  multiplication(A,multiplication(c(B),C))
% 217.34/217.47  Current number of equations to process: 4725
% 217.34/217.47  Current number of ordered equations: 0
% 217.34/217.47  Current number of rules: 1526
% 217.34/217.47  New rule produced :
% 217.34/217.47  [2524]
% 217.34/217.47  codomain(A) addition coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 217.34/217.47  -> coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 217.34/217.47  Current number of equations to process: 4724
% 217.34/217.47  Current number of ordered equations: 0
% 217.34/217.47  Current number of rules: 1527
% 217.34/217.47  New rule produced :
% 217.82/217.89  [2525]
% 217.82/217.89  codomain(C) addition multiplication(coantidomain(C),forward_diamond(A,B)) ->
% 217.82/217.89  forward_diamond(A,B) addition codomain(C)
% 217.82/217.89  Current number of equations to process: 4721
% 217.82/217.89  Current number of ordered equations: 1
% 217.82/217.89  Current number of rules: 1528
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2526]
% 217.82/217.89  coantidomain(C) addition multiplication(codomain(C),forward_diamond(A,B)) ->
% 217.82/217.89  forward_diamond(A,B) addition coantidomain(C)
% 217.82/217.89  Current number of equations to process: 4721
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1529
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2527]
% 217.82/217.89  codomain(C) addition multiplication(forward_diamond(A,B),coantidomain(C)) ->
% 217.82/217.89  forward_diamond(A,B) addition codomain(C)
% 217.82/217.89  Current number of equations to process: 4719
% 217.82/217.89  Current number of ordered equations: 1
% 217.82/217.89  Current number of rules: 1530
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2528]
% 217.82/217.89  coantidomain(C) addition multiplication(forward_diamond(A,B),codomain(C)) ->
% 217.82/217.89  forward_diamond(A,B) addition coantidomain(C)
% 217.82/217.89  Current number of equations to process: 4719
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1531
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2529]
% 217.82/217.89  codomain(C) addition multiplication(coantidomain(C),backward_diamond(A,B)) ->
% 217.82/217.89  backward_diamond(A,B) addition codomain(C)
% 217.82/217.89  Current number of equations to process: 4715
% 217.82/217.89  Current number of ordered equations: 1
% 217.82/217.89  Current number of rules: 1532
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2530]
% 217.82/217.89  coantidomain(C) addition multiplication(codomain(C),backward_diamond(A,B)) ->
% 217.82/217.89  backward_diamond(A,B) addition coantidomain(C)
% 217.82/217.89  Current number of equations to process: 4715
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1533
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2531]
% 217.82/217.89  coantidomain(C) addition multiplication(backward_diamond(A,B),codomain(C)) ->
% 217.82/217.89  backward_diamond(A,B) addition coantidomain(C)
% 217.82/217.89  Current number of equations to process: 4714
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1534
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2532]
% 217.82/217.89  coantidomain(backward_diamond(A,c(c(A)))) addition coantidomain(A) ->
% 217.82/217.89  coantidomain(backward_diamond(A,c(c(A))))
% 217.82/217.89  Current number of equations to process: 4703
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1535
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2533]
% 217.82/217.89  c(c(codomain(A))) addition multiplication(codomain(A),codomain(B)) ->
% 217.82/217.89  c(c(codomain(A)))
% 217.82/217.89  Current number of equations to process: 4702
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1536
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2534]
% 217.82/217.89  c(c(coantidomain(A))) addition multiplication(coantidomain(A),codomain(B)) ->
% 217.82/217.89  c(c(coantidomain(A)))
% 217.82/217.89  Current number of equations to process: 4701
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1537
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2535]
% 217.82/217.89  c(c(coantidomain(A))) addition multiplication(codomain(B),coantidomain(A)) ->
% 217.82/217.89  c(c(coantidomain(A)))
% 217.82/217.89  Current number of equations to process: 4700
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1538
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2536]
% 217.82/217.89  c(c(codomain(A))) addition multiplication(codomain(B),codomain(A)) ->
% 217.82/217.89  c(c(codomain(A)))
% 217.82/217.89  Current number of equations to process: 4699
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1539
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2537]
% 217.82/217.89  c(c(codomain(A))) addition multiplication(codomain(A),coantidomain(B)) ->
% 217.82/217.89  c(c(codomain(A)))
% 217.82/217.89  Current number of equations to process: 4698
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1540
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2538]
% 217.82/217.89  c(c(coantidomain(A))) addition multiplication(coantidomain(A),coantidomain(B))
% 217.82/217.89  -> c(c(coantidomain(A)))
% 217.82/217.89  Current number of equations to process: 4697
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1541
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2539]
% 217.82/217.89  c(c(coantidomain(A))) addition multiplication(coantidomain(B),coantidomain(A))
% 217.82/217.89  -> c(c(coantidomain(A)))
% 217.82/217.89  Current number of equations to process: 4696
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1542
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2540]
% 217.82/217.89  c(c(codomain(A))) addition multiplication(coantidomain(B),codomain(A)) ->
% 217.82/217.89  c(c(codomain(A)))
% 217.82/217.89  Current number of equations to process: 4695
% 217.82/217.89  Current number of ordered equations: 0
% 217.82/217.89  Current number of rules: 1543
% 217.82/217.89  New rule produced :
% 217.82/217.89  [2541]
% 217.82/217.89  forward_diamond(multiplication(A,c(C)) addition B,c(C)) ->
% 217.82/217.89  forward_diamond(A addition B,c(C))
% 221.24/221.33  Current number of equations to process: 4693
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1544
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2542]
% 221.24/221.33  multiplication(c(A),coantidomain(c(c(A)) addition B)) ->
% 221.24/221.33  coantidomain(c(c(A)) addition B)
% 221.24/221.33  Current number of equations to process: 4692
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1545
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2543]
% 221.24/221.33  c(multiplication(A,multiplication(B,backward_box(C,X0)))) ->
% 221.24/221.33  c(forward_diamond(multiplication(A,B),backward_box(C,X0)))
% 221.24/221.33  Current number of equations to process: 4691
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1546
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2544]
% 221.24/221.33  backward_box(A,multiplication(B,multiplication(C,c(X0)))) ->
% 221.24/221.33  backward_box(A,forward_diamond(multiplication(B,C),c(X0)))
% 221.24/221.33  Current number of equations to process: 4690
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1547
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2545] multiplication(backward_box(A,B),backward_diamond(A,c(B))) -> zero
% 221.24/221.33  Current number of equations to process: 4701
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1548
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2546] backward_diamond(A,codomain(B)) -> backward_diamond(A,B)
% 221.24/221.33  Rule [458] backward_diamond(coantidomain(A),codomain(A)) -> zero collapsed.
% 221.24/221.33  Rule
% 221.24/221.33  [1115]
% 221.24/221.33  backward_diamond(multiplication(A,B),codomain(C)) ->
% 221.24/221.33  backward_diamond(multiplication(A,B),C) collapsed.
% 221.24/221.33  Rule
% 221.24/221.33  [1572]
% 221.24/221.33  coantidomain(backward_diamond(A,codomain(B))) ->
% 221.24/221.33  coantidomain(backward_diamond(A,B)) collapsed.
% 221.24/221.33  Current number of equations to process: 4717
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1546
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2547] backward_box(codomain(c(A)),A) -> c(codomain(c(A)))
% 221.24/221.33  Current number of equations to process: 4719
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1547
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2548] backward_diamond(coantidomain(A),coantidomain(A)) -> coantidomain(A)
% 221.24/221.33  Rule
% 221.24/221.33  [1564]
% 221.24/221.33  coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition 
% 221.24/221.33  coantidomain(A) -> one collapsed.
% 221.24/221.33  Rule
% 221.24/221.33  [1567]
% 221.24/221.33  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))))
% 221.24/221.33  -> true collapsed.
% 221.24/221.33  Rule
% 221.24/221.33  [2257]
% 221.24/221.33  leq(codomain(A),coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) addition B)
% 221.24/221.33  -> true collapsed.
% 221.24/221.33  Rule
% 221.24/221.33  [2524]
% 221.24/221.33  codomain(A) addition coantidomain(backward_diamond(coantidomain(A),coantidomain(A)))
% 221.24/221.33  -> coantidomain(backward_diamond(coantidomain(A),coantidomain(A))) collapsed.
% 221.24/221.33  Current number of equations to process: 4725
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1544
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2549]
% 221.24/221.33  backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B)))
% 221.24/221.33  -> zero
% 221.24/221.33  Rule
% 221.24/221.33  [1562]
% 221.24/221.33  coantidomain(backward_diamond(backward_diamond(A,B),coantidomain(backward_diamond(A,B))))
% 221.24/221.33  -> one collapsed.
% 221.24/221.33  Current number of equations to process: 4728
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1544
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2550]
% 221.24/221.33  multiplication(multiplication(c(A),coantidomain(B)),multiplication(A,C)) ->
% 221.24/221.33  zero
% 221.24/221.33  Current number of equations to process: 4741
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1545
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2551]
% 221.24/221.33  multiplication(multiplication(c(A),codomain(B)),multiplication(A,C)) -> zero
% 221.24/221.33  Current number of equations to process: 4740
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1546
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2552] multiplication(A,coantidomain(codomain(A) addition B)) -> zero
% 221.24/221.33  Current number of equations to process: 4764
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1547
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2553] backward_box(multiplication(codomain(c(B)),A),B) -> backward_box(A,B)
% 221.24/221.33  Current number of equations to process: 4773
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1548
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2554]
% 221.24/221.33  backward_diamond(multiplication(coantidomain(A),B),coantidomain(A)) ->
% 221.24/221.33  backward_diamond(B,coantidomain(A))
% 221.24/221.33  Current number of equations to process: 4782
% 221.24/221.33  Current number of ordered equations: 0
% 221.24/221.33  Current number of rules: 1549
% 221.24/221.33  New rule produced :
% 221.24/221.33  [2555]
% 221.24/221.33  multiplication(multiplication(A,B),backward_diamond(B,A)) ->
% 221.24/221.33  multiplication(A,B)
% 221.24/221.33  Current number of equations to process: 4795
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1550
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2556]
% 225.63/225.70  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(B,A)))
% 225.63/225.70  -> one
% 225.63/225.70  Current number of equations to process: 4814
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1551
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2557] multiplication(A,coantidomain(backward_diamond(A,c(c(A))))) -> zero
% 225.63/225.70  Current number of equations to process: 4816
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1552
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2558] multiplication(c(A),coantidomain(backward_diamond(c(A),c(A)))) -> zero
% 225.63/225.70  Current number of equations to process: 4816
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1553
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2559]
% 225.63/225.70  multiplication(backward_box(A,B),multiplication(backward_diamond(A,c(B)),C))
% 225.63/225.70  -> zero
% 225.63/225.70  Current number of equations to process: 4815
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1554
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2560]
% 225.63/225.70  multiplication(c(sK2_goals_X1),coantidomain(backward_diamond(backward_box(sK3_goals_X0,sK1_goals_X2),
% 225.63/225.70                                              c(sK2_goals_X1)))) -> zero
% 225.63/225.70  Current number of equations to process: 4814
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1555
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2561]
% 225.63/225.70  backward_diamond(multiplication(A,backward_diamond(A,B)),B) ->
% 225.63/225.70  backward_diamond(A,B)
% 225.63/225.70  Current number of equations to process: 4823
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1556
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2562]
% 225.63/225.70  multiplication(c(sK2_goals_X1),multiplication(codomain(backward_box(sK3_goals_X0,sK1_goals_X2)),A))
% 225.63/225.70  -> multiplication(c(sK2_goals_X1),A)
% 225.63/225.70  Current number of equations to process: 4948
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1557
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2563] leq(backward_diamond(A,B),c(c(backward_diamond(A,B)))) -> true
% 225.63/225.70  Current number of equations to process: 4966
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1558
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2564]
% 225.63/225.70  leq(multiplication(forward_diamond(A,B),backward_diamond(C,X0)),one) -> true
% 225.63/225.70  Current number of equations to process: 4971
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1559
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2565]
% 225.63/225.70  leq(multiplication(multiplication(A,c(B)),backward_diamond(C,X0)),A) -> true
% 225.63/225.70  Current number of equations to process: 1545
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1560
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2566]
% 225.63/225.70  leq(multiplication(multiplication(c(A),B),backward_diamond(C,X0)),B) -> true
% 225.63/225.70  Current number of equations to process: 1544
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1561
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2567]
% 225.63/225.70  leq(multiplication(multiplication(A,codomain(B)),backward_diamond(C,X0)),A)
% 225.63/225.70  -> true
% 225.63/225.70  Current number of equations to process: 1575
% 225.63/225.70  Current number of ordered equations: 1
% 225.63/225.70  Current number of rules: 1562
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2568]
% 225.63/225.70  leq(multiplication(multiplication(A,coantidomain(B)),backward_diamond(C,X0)),A)
% 225.63/225.70  -> true
% 225.63/225.70  Current number of equations to process: 1575
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1563
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2569]
% 225.63/225.70  leq(multiplication(multiplication(codomain(A),B),backward_diamond(C,X0)),B)
% 225.63/225.70  -> true
% 225.63/225.70  Current number of equations to process: 1573
% 225.63/225.70  Current number of ordered equations: 1
% 225.63/225.70  Current number of rules: 1564
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2570]
% 225.63/225.70  leq(multiplication(multiplication(coantidomain(A),B),backward_diamond(C,X0)),B)
% 225.63/225.70  -> true
% 225.63/225.70  Current number of equations to process: 1573
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1565
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2571]
% 225.63/225.70  leq(multiplication(backward_diamond(A,B),backward_diamond(C,X0)),one) -> true
% 225.63/225.70  Current number of equations to process: 1578
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1566
% 225.63/225.70  New rule produced :
% 225.63/225.70  [2572]
% 225.63/225.70  leq(multiplication(backward_box(A,B),backward_diamond(C,X0)),one) -> true
% 225.63/225.70  Rule
% 225.63/225.70  [2481]
% 225.63/225.70  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),backward_diamond(A,B)),one)
% 225.63/225.70  -> true collapsed.
% 225.63/225.70  Current number of equations to process: 1649
% 225.63/225.70  Current number of ordered equations: 0
% 225.63/225.70  Current number of rules: 1566
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2573]
% 239.93/240.00  leq(multiplication(A,multiplication(codomain(B),codomain(C))),A) -> true
% 239.93/240.00  Current number of equations to process: 1683
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1567
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2574] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(A)))) -> true
% 239.93/240.00  Current number of equations to process: 1687
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1568
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2575]
% 239.93/240.00  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A) -> true
% 239.93/240.00  Current number of equations to process: 1691
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1569
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2576]
% 239.93/240.00  leq(multiplication(coantidomain(A),codomain(B)),c(c(coantidomain(A)))) ->
% 239.93/240.00  true
% 239.93/240.00  Current number of equations to process: 1695
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1570
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2577]
% 239.93/240.00  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A) -> true
% 239.93/240.00  Current number of equations to process: 1715
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1571
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2578]
% 239.93/240.00  leq(multiplication(codomain(A),coantidomain(B)),c(c(codomain(A)))) -> true
% 239.93/240.00  Current number of equations to process: 1719
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1572
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2579]
% 239.93/240.00  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),A) ->
% 239.93/240.00  true
% 239.93/240.00  Current number of equations to process: 1723
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1573
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2580]
% 239.93/240.00  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(A)))) ->
% 239.93/240.00  true
% 239.93/240.00  Current number of equations to process: 1727
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1574
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2581]
% 239.93/240.00  backward_box(codomain(c(B)) addition A,B) -> backward_box(one addition A,B)
% 239.93/240.00  Current number of equations to process: 1955
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1575
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2582]
% 239.93/240.00  backward_diamond(coantidomain(A) addition B,coantidomain(A)) ->
% 239.93/240.00  backward_diamond(one addition B,coantidomain(A))
% 239.93/240.00  Current number of equations to process: 1959
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1576
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2583]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),forward_diamond(C,X0)),one) -> true
% 239.93/240.00  Current number of equations to process: 1988
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1577
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2584]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),multiplication(C,c(X0))),C) -> true
% 239.93/240.00  Current number of equations to process: 2037
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1578
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2585]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),multiplication(c(C),X0)),X0) -> true
% 239.93/240.00  Current number of equations to process: 2036
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1579
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2586]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),multiplication(C,codomain(X0))),C)
% 239.93/240.00  -> true
% 239.93/240.00  Current number of equations to process: 2067
% 239.93/240.00  Current number of ordered equations: 1
% 239.93/240.00  Current number of rules: 1580
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2587]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),multiplication(C,coantidomain(X0))),C)
% 239.93/240.00  -> true
% 239.93/240.00  Current number of equations to process: 2067
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1581
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2588]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),X0)),X0)
% 239.93/240.00  -> true
% 239.93/240.00  Current number of equations to process: 2065
% 239.93/240.00  Current number of ordered equations: 1
% 239.93/240.00  Current number of rules: 1582
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2589]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),X0)),X0)
% 239.93/240.00  -> true
% 239.93/240.00  Current number of equations to process: 2065
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1583
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2590]
% 239.93/240.00  leq(multiplication(backward_diamond(A,B),backward_box(C,X0)),one) -> true
% 239.93/240.00  Current number of equations to process: 2139
% 239.93/240.00  Current number of ordered equations: 0
% 239.93/240.00  Current number of rules: 1584
% 239.93/240.00  New rule produced :
% 239.93/240.00  [2591] leq(multiplication(codomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 248.42/248.52  Current number of equations to process: 2177
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1585
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2592]
% 248.42/248.52  leq(multiplication(codomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 248.42/248.52  true
% 248.42/248.52  Current number of equations to process: 2185
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1586
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2593]
% 248.42/248.52  leq(multiplication(multiplication(codomain(A),codomain(B)),C),C) -> true
% 248.42/248.52  Current number of equations to process: 2187
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1587
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2594]
% 248.42/248.52  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C) -> true
% 248.42/248.52  Current number of equations to process: 2195
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1588
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2595]
% 248.42/248.52  leq(multiplication(coantidomain(A),codomain(B)),c(c(codomain(B)))) -> true
% 248.42/248.52  Current number of equations to process: 2209
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1589
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2596]
% 248.42/248.52  leq(multiplication(coantidomain(A),coantidomain(B)),c(c(coantidomain(B)))) ->
% 248.42/248.52  true
% 248.42/248.52  Current number of equations to process: 2217
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1590
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2597]
% 248.42/248.52  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C) -> true
% 248.42/248.52  Current number of equations to process: 2219
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1591
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2598]
% 248.42/248.52  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),C) ->
% 248.42/248.52  true
% 248.42/248.52  Current number of equations to process: 2227
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1592
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2599]
% 248.42/248.52  leq(multiplication(codomain(A),B),multiplication(B,backward_diamond(B,A))) ->
% 248.42/248.52  true
% 248.42/248.52  Current number of equations to process: 2275
% 248.42/248.52  Current number of ordered equations: 0
% 248.42/248.52  Current number of rules: 1593
% 248.42/248.52  New rule produced :
% 248.42/248.52  [2600]
% 248.42/248.52  backward_box(codomain(backward_box(A,B)),c(backward_box(A,B))) ->
% 248.42/248.52  c(codomain(backward_box(A,B)))
% 248.42/248.52  Current number of equations to process: 2376
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1594
% 248.42/248.53  New rule produced :
% 248.42/248.53  [2601]
% 248.42/248.53  multiplication(multiplication(A,B),multiplication(codomain(C),coantidomain(
% 248.42/248.53                                                                backward_diamond(B,A))))
% 248.42/248.53  -> zero
% 248.42/248.53  Current number of equations to process: 2375
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1595
% 248.42/248.53  New rule produced :
% 248.42/248.53  [2602]
% 248.42/248.53  multiplication(multiplication(A,B),multiplication(coantidomain(C),coantidomain(
% 248.42/248.53                                                                    backward_diamond(B,A))))
% 248.42/248.53  -> zero
% 248.42/248.53  Current number of equations to process: 2374
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1596
% 248.42/248.53  New rule produced :
% 248.42/248.53  [2603]
% 248.42/248.53  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(B),
% 248.42/248.53                                                  multiplication(A,B)))) ->
% 248.42/248.53  zero
% 248.42/248.53  Current number of equations to process: 2372
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1597
% 248.42/248.53  New rule produced :
% 248.42/248.53  [2604]
% 248.42/248.53  backward_diamond(multiplication(multiplication(A,backward_diamond(A,C)),B),C)
% 248.42/248.53  -> backward_diamond(multiplication(A,B),C)
% 248.42/248.53  Current number of equations to process: 2370
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1598
% 248.42/248.53  New rule produced :
% 248.42/248.53  [2605]
% 248.42/248.53  multiplication(multiplication(codomain(A),B),coantidomain(multiplication(B,
% 248.42/248.53                                                            backward_diamond(B,A))))
% 248.42/248.53  -> zero
% 248.42/248.53  Current number of equations to process: 2369
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1599
% 248.42/248.53  New rule produced :
% 248.42/248.53  [2606]
% 248.42/248.53  leq(multiplication(A,multiplication(B,backward_diamond(C,X0))),multiplication(A,B))
% 248.42/248.53  -> true
% 248.42/248.53  Current number of equations to process: 2368
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1600
% 248.42/248.53  New rule produced :
% 248.42/248.53  [2607]
% 248.42/248.53  leq(multiplication(forward_diamond(A,B),backward_diamond(C,X0)),one addition X1)
% 248.42/248.53  -> true
% 248.42/248.53  Current number of equations to process: 2367
% 248.42/248.53  Current number of ordered equations: 0
% 248.42/248.53  Current number of rules: 1601
% 248.42/248.53  New rule produced :
% 248.72/248.83  [2608]
% 248.72/248.83  leq(multiplication(multiplication(forward_diamond(A,B),C),backward_diamond(X0,X1)),C)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2366
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1602
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2609]
% 248.72/248.83  leq(multiplication(backward_diamond(A,B),backward_diamond(C,X0)),one addition X1)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2364
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1603
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2610]
% 248.72/248.83  leq(multiplication(multiplication(A,forward_diamond(B,C)),backward_diamond(X0,X1)),A)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2363
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1604
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2611]
% 248.72/248.83  leq(multiplication(backward_box(A,B),backward_diamond(C,X0)),one addition X1)
% 248.72/248.83  -> true
% 248.72/248.83  Rule
% 248.72/248.83  [2483]
% 248.72/248.83  leq(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),backward_diamond(A,B)),
% 248.72/248.83  one addition C) -> true collapsed.
% 248.72/248.83  Current number of equations to process: 2362
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1604
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2612]
% 248.72/248.83  leq(multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(X0,X1)),A)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2361
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1605
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2613]
% 248.72/248.83  leq(multiplication(multiplication(backward_diamond(A,B),C),backward_diamond(X0,X1)),C)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2360
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1606
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2614]
% 248.72/248.83  leq(multiplication(multiplication(coantidomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2359
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1607
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2615]
% 248.72/248.83  leq(multiplication(multiplication(codomain(A),codomain(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2358
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1608
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2616]
% 248.72/248.83  leq(multiplication(multiplication(c(A),codomain(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2357
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1609
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2617]
% 248.72/248.83  leq(multiplication(multiplication(codomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2356
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1610
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2618]
% 248.72/248.83  leq(multiplication(multiplication(codomain(A),c(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2355
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1611
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2619]
% 248.72/248.83  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2354
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1612
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2620]
% 248.72/248.83  leq(multiplication(multiplication(c(A),coantidomain(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2353
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1613
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2621]
% 248.72/248.83  leq(multiplication(multiplication(coantidomain(A),c(B)),backward_diamond(C,X0)),one)
% 248.72/248.83  -> true
% 248.72/248.83  Current number of equations to process: 2352
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1614
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2622]
% 248.72/248.83  leq(backward_diamond(A,B),c(c(backward_diamond(A,B))) addition C) -> true
% 248.72/248.83  Current number of equations to process: 2351
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1615
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2623]
% 248.72/248.83  multiplication(multiplication(multiplication(A,B),C),backward_diamond(C,B))
% 248.72/248.83  -> multiplication(multiplication(A,B),C)
% 248.72/248.83  Current number of equations to process: 2349
% 248.72/248.83  Current number of ordered equations: 0
% 248.72/248.83  Current number of rules: 1616
% 248.72/248.83  New rule produced :
% 248.72/248.83  [2624]
% 248.72/248.83  multiplication(multiplication(A,B),coantidomain(backward_diamond(codomain(
% 248.72/248.83                                                                   multiplication(A,B)),B)))
% 248.72/248.83  -> zero
% 248.72/248.83  Current number of equations to process: 2348
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1617
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2625]
% 248.93/249.06  coantidomain(backward_diamond(coantidomain(backward_diamond(A,B)),multiplication(
% 248.93/249.06                                                                    multiplication(C,B),A)))
% 248.93/249.06  -> one
% 248.93/249.06  Current number of equations to process: 2347
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1618
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2626]
% 248.93/249.06  multiplication(multiplication(c(sK2_goals_X1),A),coantidomain(backward_diamond(A,
% 248.93/249.06                                                                backward_box(sK3_goals_X0,sK1_goals_X2))))
% 248.93/249.06  -> zero
% 248.93/249.06  Current number of equations to process: 2346
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1619
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2627]
% 248.93/249.06  multiplication(multiplication(codomain(A),B),coantidomain(backward_diamond(
% 248.93/249.06                                                            backward_diamond(B,A),B)))
% 248.93/249.06  -> zero
% 248.93/249.06  Current number of equations to process: 2345
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1620
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2628]
% 248.93/249.06  leq(multiplication(A,codomain(B)),multiplication(A,c(c(codomain(B))))) ->
% 248.93/249.06  true
% 248.93/249.06  Current number of equations to process: 2343
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1621
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2629]
% 248.93/249.06  leq(multiplication(A,coantidomain(B)),multiplication(A,c(c(coantidomain(B)))))
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2342
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1622
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2630]
% 248.93/249.06  multiplication(c(codomain(A)),coantidomain(backward_diamond(coantidomain(A),
% 248.93/249.06                                             c(codomain(A))))) -> zero
% 248.93/249.06  Current number of equations to process: 2339
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1623
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2631]
% 248.93/249.06  multiplication(c(coantidomain(A)),coantidomain(backward_diamond(codomain(A),
% 248.93/249.06                                                 c(coantidomain(A))))) -> zero
% 248.93/249.06  Current number of equations to process: 2338
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1624
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2632]
% 248.93/249.06  multiplication(multiplication(A,backward_diamond(B,C)),backward_diamond(B,C))
% 248.93/249.06  -> multiplication(A,backward_diamond(B,C))
% 248.93/249.06  Current number of equations to process: 2337
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1625
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2633]
% 248.93/249.06  leq(multiplication(multiplication(backward_diamond(A,B),C),X0),multiplication(C,X0))
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2336
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1626
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2634]
% 248.93/249.06  leq(multiplication(backward_diamond(A,B),forward_diamond(C,X0)),one addition X1)
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2335
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1627
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2635]
% 248.93/249.06  leq(multiplication(backward_diamond(A,B),multiplication(forward_diamond(C,X0),X1)),X1)
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2334
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1628
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2636]
% 248.93/249.06  leq(multiplication(backward_diamond(A,B),multiplication(C,forward_diamond(X0,X1))),C)
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2331
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1629
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2637]
% 248.93/249.06  leq(multiplication(backward_diamond(A,B),backward_box(C,X0)),one addition X1)
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2330
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1630
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2638]
% 248.93/249.06  leq(multiplication(backward_diamond(A,B),multiplication(C,backward_diamond(X0,X1))),C)
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2329
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1631
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2639]
% 248.93/249.06  leq(multiplication(backward_diamond(A,B),multiplication(backward_diamond(C,X0),X1)),X1)
% 248.93/249.06  -> true
% 248.93/249.06  Current number of equations to process: 2328
% 248.93/249.06  Current number of ordered equations: 0
% 248.93/249.06  Current number of rules: 1632
% 248.93/249.06  New rule produced :
% 248.93/249.06  [2640]
% 248.93/249.06  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 284.13/284.23                                           codomain(X0))),one) -> true
% 284.13/284.23  Current number of equations to process: 2327
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1633
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2641]
% 284.13/284.23  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),codomain(X0))),one)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2326
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1634
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2642]
% 284.13/284.23  leq(multiplication(backward_diamond(A,B),multiplication(c(C),codomain(X0))),one)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2325
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1635
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2643]
% 284.13/284.23  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),coantidomain(X0))),one)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2324
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1636
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2644]
% 284.13/284.23  leq(multiplication(backward_diamond(A,B),multiplication(codomain(C),c(X0))),one)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2323
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1637
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2645]
% 284.13/284.23  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 284.13/284.23                                           coantidomain(X0))),one) -> true
% 284.13/284.23  Current number of equations to process: 2322
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1638
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2646]
% 284.13/284.23  leq(multiplication(backward_diamond(A,B),multiplication(c(C),coantidomain(X0))),one)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2321
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1639
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2647]
% 284.13/284.23  leq(multiplication(backward_diamond(A,B),multiplication(coantidomain(C),
% 284.13/284.23                                           c(X0))),one) -> true
% 284.13/284.23  Current number of equations to process: 2320
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1640
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2648]
% 284.13/284.23  coantidomain(backward_diamond(multiplication(A,coantidomain(backward_diamond(A,B))),
% 284.13/284.23               multiplication(C,B))) -> one
% 284.13/284.23  Current number of equations to process: 2314
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1641
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2649]
% 284.13/284.23  multiplication(c(sK2_goals_X1),coantidomain(multiplication(backward_box(sK3_goals_X0,sK1_goals_X2),
% 284.13/284.23                                              codomain(c(sK2_goals_X1))))) ->
% 284.13/284.23  zero
% 284.13/284.23  Current number of equations to process: 2388
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1642
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2650]
% 284.13/284.23  leq(multiplication(A,multiplication(codomain(B),codomain(C))),A addition X0)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2496
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1643
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2651]
% 284.13/284.23  leq(multiplication(A,multiplication(coantidomain(B),codomain(C))),A addition X0)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2723
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1644
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2652]
% 284.13/284.23  leq(multiplication(A,multiplication(codomain(B),coantidomain(C))),A addition X0)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 3399
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1645
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2653]
% 284.13/284.23  leq(multiplication(A,multiplication(coantidomain(B),coantidomain(C))),
% 284.13/284.23  A addition X0) -> true
% 284.13/284.23  Current number of equations to process: 3620
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1646
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2654]
% 284.13/284.23  leq(multiplication(multiplication(codomain(A),codomain(B)),C),C addition X0)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2318
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1647
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2655]
% 284.13/284.23  leq(multiplication(multiplication(codomain(A),coantidomain(B)),C),C addition X0)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 2544
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1648
% 284.13/284.23  New rule produced :
% 284.13/284.23  [2656]
% 284.13/284.23  leq(multiplication(multiplication(coantidomain(A),codomain(B)),C),C addition X0)
% 284.13/284.23  -> true
% 284.13/284.23  Current number of equations to process: 3206
% 284.13/284.23  Current number of ordered equations: 0
% 284.13/284.23  Current number of rules: 1649
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2657]
% 293.93/294.03  leq(multiplication(multiplication(coantidomain(A),coantidomain(B)),C),
% 293.93/294.03  C addition X0) -> true
% 293.93/294.03  Current number of equations to process: 3424
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1650
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2658]
% 293.93/294.03  backward_box(sK3_goals_X0,sK1_goals_X2) addition coantidomain(c(c(sK2_goals_X1)))
% 293.93/294.03  -> backward_box(sK3_goals_X0,sK1_goals_X2)
% 293.93/294.03  Current number of equations to process: 3905
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1651
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2659]
% 293.93/294.03  leq(coantidomain(c(c(sK2_goals_X1))),backward_box(sK3_goals_X0,sK1_goals_X2))
% 293.93/294.03  -> true
% 293.93/294.03  Current number of equations to process: 3905
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1652
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2660]
% 293.93/294.03  leq(coantidomain(c(c(sK2_goals_X1))),backward_box(sK3_goals_X0,sK1_goals_X2) addition A)
% 293.93/294.03  -> true
% 293.93/294.03  Current number of equations to process: 3905
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1653
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2661]
% 293.93/294.03  multiplication(c(backward_box(sK3_goals_X0,sK1_goals_X2)),coantidomain(
% 293.93/294.03                                                            c(c(sK2_goals_X1))))
% 293.93/294.03  -> zero
% 293.93/294.03  Current number of equations to process: 3927
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1654
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2662]
% 293.93/294.03  leq(multiplication(coantidomain(c(c(sK2_goals_X1))),codomain(A)),backward_box(sK3_goals_X0,sK1_goals_X2))
% 293.93/294.03  -> true
% 293.93/294.03  Current number of equations to process: 3934
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1655
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2663]
% 293.93/294.03  leq(multiplication(coantidomain(c(c(sK2_goals_X1))),coantidomain(A)),
% 293.93/294.03  backward_box(sK3_goals_X0,sK1_goals_X2)) -> true
% 293.93/294.03  Current number of equations to process: 3933
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1656
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2664]
% 293.93/294.03  leq(multiplication(codomain(A),coantidomain(c(c(sK2_goals_X1)))),backward_box(sK3_goals_X0,sK1_goals_X2))
% 293.93/294.03  -> true
% 293.93/294.03  Current number of equations to process: 3932
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1657
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2665]
% 293.93/294.03  leq(multiplication(coantidomain(A),coantidomain(c(c(sK2_goals_X1)))),
% 293.93/294.03  backward_box(sK3_goals_X0,sK1_goals_X2)) -> true
% 293.93/294.03  Current number of equations to process: 3931
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1658
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2666]
% 293.93/294.03  multiplication(multiplication(A,c(sK2_goals_X1)),coantidomain(backward_box(sK3_goals_X0,sK1_goals_X2)))
% 293.93/294.03  -> zero
% 293.93/294.03  Current number of equations to process: 3942
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1659
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2667]
% 293.93/294.03  multiplication(multiplication(A,c(sK2_goals_X1)),codomain(backward_box(sK3_goals_X0,sK1_goals_X2)))
% 293.93/294.03  -> multiplication(A,c(sK2_goals_X1))
% 293.93/294.03  Current number of equations to process: 3949
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1660
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2668]
% 293.93/294.03  forward_diamond(multiplication(A,c(sK2_goals_X1)),backward_diamond(sK3_goals_X0,
% 293.93/294.03                                                    c(sK1_goals_X2))) -> zero
% 293.93/294.03  Current number of equations to process: 3965
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1661
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2669]
% 293.93/294.03  c(forward_diamond(multiplication(A,c(sK2_goals_X1)),backward_box(sK3_goals_X0,sK1_goals_X2)))
% 293.93/294.03  -> c(forward_diamond(A,c(sK2_goals_X1)))
% 293.93/294.03  Current number of equations to process: 3965
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1662
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2670]
% 293.93/294.03  c(backward_box(sK3_goals_X0,sK1_goals_X2)) addition c(c(sK2_goals_X1)) ->
% 293.93/294.03  c(c(sK2_goals_X1))
% 293.93/294.03  Current number of equations to process: 3976
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1663
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2671]
% 293.93/294.03  c(forward_diamond(c(c(sK2_goals_X1)),c(backward_box(sK3_goals_X0,sK1_goals_X2))))
% 293.93/294.03  -> backward_box(sK3_goals_X0,sK1_goals_X2)
% 293.93/294.03  Current number of equations to process: 3976
% 293.93/294.03  Current number of ordered equations: 0
% 293.93/294.03  Current number of rules: 1664
% 293.93/294.03  New rule produced :
% 293.93/294.03  [2672]
% 293.93/294.03  leq(c(backward_box(sK3_goals_X0,sK1_goals_X2)),c(c(sK2_goals_X1))) -> true
% 293.93/294.03  Current number of equations to process: 3990
% 293.93/294.03  Current number of ordered eqCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------