%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP771-1 : TPTP v6.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n055.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:25:03 EDT 2014

% Result   : Timeout 300.10s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP771-1 : TPTP v6.0.0. Released v4.1.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n055.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Sat Jun  7 01:41:03 CDT 2014
% % CPUTime  : 300.10 
% Processing problem /tmp/CiME_7697_n055.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " x3,x2,x1,x0,one : constant;  c : 2;  a : 3;  t : 2;  eta : 1;  j : 1;  i : 1;  quotient : 2;  difference : 2;  product : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% product(A,one) = A;
% product(one,A) = A;
% product(A,difference(A,B)) = B;
% difference(A,product(A,B)) = B;
% quotient(product(A,B),B) = A;
% product(quotient(A,B),B) = A;
% difference(A,product(product(A,B),C)) = quotient(product(B,product(C,A)),A);
% difference(product(A,B),product(A,product(B,C))) = quotient(quotient(product(C,product(A,B)),B),A);
% i(A) = difference(A,one);
% j(A) = quotient(one,A);
% product(i(A),A) = product(A,j(A));
% eta(A) = product(i(A),A);
% product(i(i(A)),B) = product(eta(A),product(A,B));
% product(A,product(eta(A),B)) = product(j(j(A)),B);
% product(A,product(B,eta(A))) = product(product(A,B),eta(A));
% product(eta(A),product(B,C)) = product(product(eta(A),B),C);
% quotient(j(A),A) = product(j(A),i(A));
% product(product(product(quotient(j(A),A),product(A,A)),B),C) = product(product(quotient(j(A),A),product(A,A)),product(B,C));
% t(A,B) = quotient(product(A,B),A);
% t(eta(A),product(B,C)) = product(t(eta(A),B),t(eta(A),C));
% product(i(product(A,B)),i(i(A))) = i(B);
% product(j(j(A)),j(product(B,A))) = j(B);
% product(product(A,product(B,C)),a(A,B,C)) = product(product(A,B),C);
% product(product(A,B),c(B,A)) = product(B,A);
% ";
% 
% let s1 = status F "
% x3 lr_lex;
% x2 lr_lex;
% x1 lr_lex;
% x0 lr_lex;
% c lr_lex;
% a lr_lex;
% t lr_lex;
% eta lr_lex;
% j lr_lex;
% i lr_lex;
% quotient lr_lex;
% difference lr_lex;
% product lr_lex;
% one lr_lex;
% ";
% 
% let p1 = precedence F "
% a > c > product > difference > quotient > t > i > j > eta > one > x0 > x1 > x2 > x3";
% 
% let s2 = status F "
% x3 mul;
% x2 mul;
% x1 mul;
% x0 mul;
% c mul;
% a mul;
% t mul;
% eta mul;
% j mul;
% i mul;
% quotient mul;
% difference mul;
% product mul;
% one mul;
% ";
% 
% let p2 = precedence F "
% a > c > product > difference > quotient > t > i > j > eta > one = x0 = x1 = x2 = x3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " product(product(x0,x1),c(x2,x3)) = product(x0,product(x1,c(x2,x3)));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { product(A,one) = A,
% product(one,A) = A,
% product(A,difference(A,B)) = B,
% difference(A,product(A,B)) = B,
% quotient(product(A,B),B) = A,
% product(quotient(A,B),B) = A,
% difference(A,product(product(A,B),C)) =
% quotient(product(B,product(C,A)),A),
% difference(product(A,B),product(A,product(B,C)))
% =
% quotient(quotient(product(C,product(A,B)),B),A),
% i(A) = difference(A,one),
% j(A) = quotient(one,A),
% product(i(A),A) = product(A,j(A)),
% eta(A) = product(i(A),A),
% product(i(i(A)),B) =
% product(eta(A),product(A,B)),
% product(A,product(eta(A),B)) =
% product(j(j(A)),B),
% product(A,product(B,eta(A))) =
% product(product(A,B),eta(A)),
% product(eta(A),product(B,C)) =
% product(product(eta(A),B),C),
% quotient(j(A),A) = product(j(A),i(A)),
% product(product(product(quotient(j(A),A),
% product(A,A)),B),C) =
% product(product(quotient(j(A),A),product(A,A)),
% product(B,C)),
% t(A,B) = quotient(product(A,B),A),
% t(eta(A),product(B,C)) =
% product(t(eta(A),B),t(eta(A),C)),
% product(i(product(A,B)),i(i(A))) = i(B),
% product(j(j(A)),j(product(B,A))) = j(B),
% product(product(A,product(B,C)),a(A,B,C)) =
% product(product(A,B),C),
% product(product(A,B),c(B,A)) = product(B,A) }
% (24 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { product(product(x0,x1),c(x2,x3)) =
% product(x0,product(x1,c(x2,x3))) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] product(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 25
% Current number of rules: 1
% New rule produced : [2] product(one,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 24
% Current number of rules: 2
% New rule produced : [3] quotient(one,A) -> j(A)
% Current number of equations to process: 0
% Current number of ordered equations: 23
% Current number of rules: 3
% New rule produced : [4] difference(A,one) -> i(A)
% Current number of equations to process: 0
% Current number of ordered equations: 22
% Current number of rules: 4
% New rule produced : [5] product(i(A),A) -> eta(A)
% Current number of equations to process: 1
% Current number of ordered equations: 20
% Current number of rules: 5
% New rule produced : [6] quotient(product(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 20
% Current number of rules: 6
% New rule produced : [7] difference(A,product(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 19
% Current number of rules: 7
% New rule produced : [8] product(A,difference(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 18
% Current number of rules: 8
% New rule produced : [9] product(quotient(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 17
% Current number of rules: 9
% New rule produced : [10] product(A,j(A)) -> eta(A)
% Current number of equations to process: 0
% Current number of ordered equations: 16
% Current number of rules: 10
% New rule produced : [11] quotient(product(A,B),A) -> t(A,B)
% Current number of equations to process: 0
% Current number of ordered equations: 15
% Current number of rules: 11
% New rule produced : [12] product(j(A),i(A)) -> quotient(j(A),A)
% Current number of equations to process: 0
% Current number of ordered equations: 14
% Current number of rules: 12
% New rule produced : [13] product(product(A,B),c(B,A)) -> product(B,A)
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 13
% New rule produced : [14] product(i(i(A)),B) -> product(eta(A),product(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 14
% New rule produced : [15] product(j(j(A)),B) -> product(A,product(eta(A),B))
% Current number of equations to process: 1
% Current number of ordered equations: 10
% Current number of rules: 15
% New rule produced : [16] product(A,product(eta(A),j(product(B,A)))) -> j(B)
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 16
% New rule produced :
% [17] product(product(A,B),eta(A)) -> product(A,product(B,eta(A)))
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 17
% New rule produced :
% [18] product(product(eta(A),B),C) -> product(eta(A),product(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 18
% New rule produced : [19] product(i(product(A,B)),i(i(A))) -> i(B)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 19
% New rule produced :
% [20]
% quotient(product(B,product(C,A)),A) <-> difference(A,product(product(A,B),C))
% Current number of equations to process: 63
% Current number of ordered equations: 62
% Current number of rules: 20
% New rule produced :
% [21]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% Current number of equations to process: 63
% Current number of ordered equations: 61
% Current number of rules: 21
% New rule produced :
% [22] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% Current number of equations to process: 63
% Current number of ordered equations: 60
% Current number of rules: 22
% New rule produced :
% [23] product(product(A,product(B,C)),a(A,B,C)) -> product(product(A,B),C)
% Current number of equations to process: 63
% Current number of ordered equations: 59
% Current number of rules: 23
% New rule produced :
% [24]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C)))
% Current number of equations to process: 82
% Current number of ordered equations: 114
% Current number of rules: 24
% New rule produced :
% [25]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A)
% Current number of equations to process: 82
% Current number of ordered equations: 113
% Current number of rules: 25
% New rule produced :
% [26]
% product(product(product(quotient(j(A),A),product(A,A)),B),C) ->
% product(product(quotient(j(A),A),product(A,A)),product(B,C))
% Current number of equations to process: 82
% Current number of ordered equations: 112
% Current number of rules: 26
% New rule produced : [27] i(one) -> eta(one)
% Current number of equations to process: 84
% Current number of ordered equations: 109
% Current number of rules: 27
% New rule produced : [28] j(one) -> eta(one)
% Current number of equations to process: 85
% Current number of ordered equations: 107
% Current number of rules: 28
% New rule produced : [29] quotient(A,one) -> A
% Current number of equations to process: 88
% Current number of ordered equations: 102
% Current number of rules: 29
% New rule produced : [30] quotient(A,A) -> one
% Current number of equations to process: 89
% Current number of ordered equations: 100
% Current number of rules: 30
% New rule produced : [31] difference(A,A) -> one
% Current number of equations to process: 89
% Current number of ordered equations: 99
% Current number of rules: 31
% New rule produced : [32] difference(one,A) -> A
% Current number of equations to process: 89
% Current number of ordered equations: 97
% Current number of rules: 32
% New rule produced : [33] t(A,A) -> A
% Current number of equations to process: 89
% Current number of ordered equations: 96
% Current number of rules: 33
% New rule produced : [34] product(A,i(A)) -> one
% Current number of equations to process: 91
% Current number of ordered equations: 93
% Current number of rules: 34
% New rule produced : [35] product(j(A),A) -> one
% Current number of equations to process: 92
% Current number of ordered equations: 91
% Current number of rules: 35
% New rule produced : [36] t(A,one) -> one
% Current number of equations to process: 91
% Current number of ordered equations: 91
% Current number of rules: 36
% New rule produced : [37] t(one,A) -> A
% Current number of equations to process: 90
% Current number of ordered equations: 91
% Current number of rules: 37
% New rule produced : [38] quotient(eta(A),A) -> i(A)
% Current number of equations to process: 91
% Current number of ordered equations: 89
% Current number of rules: 38
% New rule produced : [39] difference(A,eta(A)) -> j(A)
% Current number of equations to process: 91
% Current number of ordered equations: 88
% Current number of rules: 39
% New rule produced : [40] difference(i(A),eta(A)) -> A
% Current number of equations to process: 91
% Current number of ordered equations: 87
% Current number of rules: 40
% New rule produced : [41] quotient(A,difference(B,A)) -> B
% Current number of equations to process: 91
% Current number of ordered equations: 86
% Current number of rules: 41
% New rule produced : [42] difference(quotient(A,B),A) -> B
% Current number of equations to process: 91
% Current number of ordered equations: 85
% Current number of rules: 42
% New rule produced : [43] quotient(eta(A),j(A)) -> A
% Current number of equations to process: 91
% Current number of ordered equations: 84
% Current number of rules: 43
% New rule produced : [44] product(A,c(one,A)) -> A
% Current number of equations to process: 91
% Current number of ordered equations: 83
% Current number of rules: 44
% New rule produced : [45] product(A,c(A,one)) -> A
% Current number of equations to process: 91
% Current number of ordered equations: 82
% Current number of rules: 45
% New rule produced : [46] product(eta(A),A) -> i(i(A))
% Current number of equations to process: 92
% Current number of ordered equations: 80
% Current number of rules: 46
% New rule produced : [47] product(A,eta(A)) -> j(j(A))
% Current number of equations to process: 92
% Current number of ordered equations: 79
% Current number of rules: 47
% New rule produced : [48] t(A,j(A)) -> i(A)
% Current number of equations to process: 91
% Current number of ordered equations: 79
% Current number of rules: 48
% New rule produced : [49] product(eta(one),j(A)) -> j(A)
% Current number of equations to process: 91
% Current number of ordered equations: 78
% Current number of rules: 49
% New rule produced : [50] t(B,difference(B,A)) -> quotient(A,B)
% Current number of equations to process: 91
% Current number of ordered equations: 77
% Current number of rules: 50
% New rule produced : [51] product(t(A,B),A) -> product(A,B)
% Current number of equations to process: 91
% Current number of ordered equations: 76
% Current number of rules: 51
% New rule produced : [52] product(A,eta(eta(A))) -> j(i(A))
% Current number of equations to process: 91
% Current number of ordered equations: 75
% Current number of rules: 52
% New rule produced : [53] quotient(eta(A),i(A)) -> t(i(A),A)
% Current number of equations to process: 91
% Current number of ordered equations: 74
% Current number of rules: 53
% Rule [28] j(one) -> eta(one) is composed into [28] j(one) -> one
% Rule [27] i(one) -> eta(one) is composed into [27] i(one) -> one
% New rule produced : [54] eta(one) -> one
% Rule [49] product(eta(one),j(A)) -> j(A) collapsed.
% Current number of equations to process: 90
% Current number of ordered equations: 74
% Current number of rules: 53
% New rule produced : [55] quotient(A,quotient(A,B)) -> t(quotient(A,B),B)
% Current number of equations to process: 89
% Current number of ordered equations: 73
% Current number of rules: 54
% New rule produced : [56] quotient(quotient(j(A),A),i(A)) -> j(A)
% Current number of equations to process: 87
% Current number of ordered equations: 72
% Current number of rules: 55
% New rule produced : [57] difference(j(A),quotient(j(A),A)) -> i(A)
% Current number of equations to process: 87
% Current number of ordered equations: 71
% Current number of rules: 56
% New rule produced : [58] product(A,product(eta(A),j(A))) -> one
% Current number of equations to process: 86
% Current number of ordered equations: 71
% Current number of rules: 57
% New rule produced : [59] i(product(B,A)) -> quotient(i(A),i(i(B)))
% Rule [19] product(i(product(A,B)),i(i(A))) -> i(B) collapsed.
% Current number of equations to process: 86
% Current number of ordered equations: 59
% Current number of rules: 57
% New rule produced : [60] quotient(product(A,B),c(A,B)) -> product(B,A)
% Current number of equations to process: 86
% Current number of ordered equations: 58
% Current number of rules: 58
% New rule produced : [61] c(B,A) -> difference(product(A,B),product(B,A))
% Rule [13] product(product(A,B),c(B,A)) -> product(B,A) collapsed.
% Rule [44] product(A,c(one,A)) -> A collapsed.
% Rule [45] product(A,c(A,one)) -> A collapsed.
% Rule [60] quotient(product(A,B),c(A,B)) -> product(B,A) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% product(product(x0,x1),difference(product(x3,x2),product(x2,x3))) = product(x0,
% product(x1,
% difference(
% product(x3,x2),
% product(x2,x3))))
% 
% Current number of equations to process: 86
% Current number of ordered equations: 52
% Current number of rules: 55
% New rule produced : [62] eta(i(A)) -> eta(A)
% Current number of equations to process: 87
% Current number of ordered equations: 50
% Current number of rules: 56
% New rule produced :
% [63] product(eta(A),j(product(B,A))) -> difference(A,j(B))
% Rule [16] product(A,product(eta(A),j(product(B,A)))) -> j(B) collapsed.
% Current number of equations to process: 85
% Current number of ordered equations: 44
% Current number of rules: 56
% New rule produced : [64] quotient(quotient(j(A),A),j(A)) -> t(j(A),i(A))
% Current number of equations to process: 90
% Current number of ordered equations: 43
% Current number of rules: 57
% New rule produced : [65] quotient(product(eta(A),product(A,B)),B) -> i(i(A))
% Current number of equations to process: 90
% Current number of ordered equations: 42
% Current number of rules: 58
% New rule produced : [66] quotient(product(A,product(eta(A),B)),B) -> j(j(A))
% Current number of equations to process: 90
% Current number of ordered equations: 41
% Current number of rules: 59
% New rule produced :
% [67] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 90
% Current number of ordered equations: 40
% Current number of rules: 60
% New rule produced :
% [68] t(A,product(B,A)) <-> difference(A,product(product(A,A),B))
% Current number of equations to process: 90
% Current number of ordered equations: 39
% Current number of rules: 61
% New rule produced :
% [69] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% Current number of equations to process: 90
% Current number of ordered equations: 38
% Current number of rules: 62
% New rule produced : [70] product(product(A,B),a(A,B,one)) -> product(A,B)
% Current number of equations to process: 90
% Current number of ordered equations: 37
% Current number of rules: 63
% New rule produced : [71] product(product(A,B),a(A,one,B)) -> product(A,B)
% Current number of equations to process: 90
% Current number of ordered equations: 36
% Current number of rules: 64
% New rule produced : [72] product(product(A,B),a(one,A,B)) -> product(A,B)
% Current number of equations to process: 90
% Current number of ordered equations: 35
% Current number of rules: 65
% New rule produced :
% [73] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% Current number of equations to process: 92
% Current number of ordered equations: 34
% Current number of rules: 66
% New rule produced :
% [74] quotient(product(eta(A),product(B,C)),C) -> product(eta(A),B)
% Rule [65] quotient(product(eta(A),product(A,B)),B) -> i(i(A)) collapsed.
% Current number of equations to process: 92
% Current number of ordered equations: 33
% Current number of rules: 66
% New rule produced : [75] quotient(product(A,i(i(B))),B) -> product(A,eta(B))
% Current number of equations to process: 91
% Current number of ordered equations: 33
% Current number of rules: 67
% New rule produced :
% [76] difference(i(i(A)),product(eta(A),product(A,B))) -> B
% Current number of equations to process: 92
% Current number of ordered equations: 32
% Current number of rules: 68
% New rule produced :
% [77] product(eta(B),product(B,difference(i(i(B)),A))) -> A
% Current number of equations to process: 92
% Current number of ordered equations: 31
% Current number of rules: 69
% New rule produced :
% [78] difference(j(j(A)),product(A,product(eta(A),B))) -> B
% Current number of equations to process: 92
% Current number of ordered equations: 30
% Current number of rules: 70
% New rule produced :
% [79] product(B,product(eta(B),difference(j(j(B)),A))) -> A
% Current number of equations to process: 92
% Current number of ordered equations: 29
% Current number of rules: 71
% New rule produced :
% [80] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% Current number of equations to process: 92
% Current number of ordered equations: 28
% Current number of rules: 72
% New rule produced :
% [81] product(eta(C),product(difference(eta(C),A),B)) -> product(A,B)
% Current number of equations to process: 92
% Current number of ordered equations: 27
% Current number of rules: 73
% New rule produced :
% [82] product(eta(A),product(j(eta(A)),B)) -> product(eta(eta(A)),B)
% Current number of equations to process: 92
% Current number of ordered equations: 26
% Current number of rules: 74
% New rule produced :
% [83] quotient(product(A,product(B,eta(C))),eta(C)) -> product(A,B)
% Rule [80] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% collapsed.
% Current number of equations to process: 92
% Current number of ordered equations: 25
% Current number of rules: 74
% New rule produced : [84] product(eta(A),product(A,j(i(i(A))))) -> eta(A)
% Current number of equations to process: 95
% Current number of ordered equations: 25
% Current number of rules: 75
% New rule produced :
% [85] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A)))
% Current number of equations to process: 95
% Current number of ordered equations: 24
% Current number of rules: 76
% New rule produced :
% [86] product(A,product(eta(A),i(j(A)))) -> quotient(j(j(A)),j(A))
% Current number of equations to process: 95
% Current number of ordered equations: 23
% Current number of rules: 77
% New rule produced : [87] product(i(A),j(j(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 94
% Current number of ordered equations: 23
% Current number of rules: 78
% New rule produced :
% [88] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% Current number of equations to process: 94
% Current number of ordered equations: 22
% Current number of rules: 79
% New rule produced :
% [89]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% Current number of equations to process: 94
% Current number of ordered equations: 21
% Current number of rules: 80
% New rule produced :
% [90] difference(product(eta(A),B),product(eta(A),product(B,C))) -> C
% Current number of equations to process: 97
% Current number of ordered equations: 20
% Current number of rules: 81
% New rule produced :
% [91] product(eta(B),product(C,difference(product(eta(B),C),A))) -> A
% Current number of equations to process: 97
% Current number of ordered equations: 19
% Current number of rules: 82
% New rule produced :
% [92]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% Current number of equations to process: 97
% Current number of ordered equations: 18
% Current number of rules: 83
% New rule produced :
% [93]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% Current number of equations to process: 97
% Current number of ordered equations: 17
% Current number of rules: 84
% New rule produced :
% [94]
% product(A,quotient(product(B,product(C,A)),A)) <-> product(product(A,B),C)
% Current number of equations to process: 97
% Current number of ordered equations: 16
% Current number of rules: 85
% New rule produced :
% [95]
% product(product(A,B),C) <-> product(A,quotient(product(B,product(C,A)),A))
% Rule [17] product(product(A,B),eta(A)) -> product(A,product(B,eta(A)))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% product(x0,quotient(product(x1,product(difference(product(x3,x2),product(x2,x3)),x0)),x0)) = 
% product(x0,product(x1,difference(product(x3,x2),product(x2,x3))))
% 
% Current number of equations to process: 99
% Current number of ordered equations: 10
% Current number of rules: 85
% New rule produced :
% [96]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C))
% Current number of equations to process: 99
% Current number of ordered equations: 9
% Current number of rules: 86
% New rule produced :
% [97] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% Current number of equations to process: 100
% Current number of ordered equations: 8
% Current number of rules: 87
% New rule produced :
% [98] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% Current number of equations to process: 100
% Current number of ordered equations: 7
% Current number of rules: 88
% New rule produced :
% [99]
% product(eta(A),product(B,j(product(eta(A),B)))) -> eta(product(eta(A),B))
% Current number of equations to process: 100
% Current number of ordered equations: 6
% Current number of rules: 89
% New rule produced :
% [100]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A))
% Current number of equations to process: 100
% Current number of ordered equations: 5
% Current number of rules: 90
% New rule produced :
% [101]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B))
% Current number of equations to process: 100
% Current number of ordered equations: 4
% Current number of rules: 91
% New rule produced :
% [102] quotient(product(product(A,B),C),a(A,B,C)) -> product(A,product(B,C))
% Current number of equations to process: 100
% Current number of ordered equations: 3
% Current number of rules: 92
% New rule produced :
% [103]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B)
% Current number of equations to process: 99
% Current number of ordered equations: 3
% Current number of rules: 93
% New rule produced :
% [104] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% Current number of equations to process: 101
% Current number of ordered equations: 2
% Current number of rules: 94
% New rule produced :
% [105] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [106]
% product(product(A,eta(B)),a(A,i(B),B)) ->
% product(A,quotient(product(i(B),product(B,A)),A))
% Current number of equations to process: 100
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [107] a(A,B,C) -> difference(product(A,product(B,C)),product(product(A,B),C))
% Rule
% [23] product(product(A,product(B,C)),a(A,B,C)) -> product(product(A,B),C)
% collapsed.
% Rule [70] product(product(A,B),a(A,B,one)) -> product(A,B) collapsed.
% Rule [71] product(product(A,B),a(A,one,B)) -> product(A,B) collapsed.
% Rule [72] product(product(A,B),a(one,A,B)) -> product(A,B) collapsed.
% Rule
% [102] quotient(product(product(A,B),C),a(A,B,C)) -> product(A,product(B,C))
% collapsed.
% Rule
% [106]
% product(product(A,eta(B)),a(A,i(B),B)) ->
% product(A,quotient(product(i(B),product(B,A)),A)) collapsed.
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [108]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A)
% Current number of equations to process: 110
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [109]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [110] product(i(A),product(eta(A),j(quotient(j(A),A)))) -> j(j(A))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [111]
% quotient(product(A,product(B,product(C,eta(B)))),eta(B)) ->
% product(A,product(B,C))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [112]
% difference(eta(B),product(i(B),product(B,A))) <->
% quotient(quotient(product(A,eta(B)),B),i(B))
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [113]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),product(i(B),product(B,A)))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [114]
% difference(B,product(C,product(difference(C,B),A))) <->
% quotient(quotient(product(A,B),difference(C,B)),C)
% Current number of equations to process: 121
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [115]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,product(difference(C,B),A)))
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [116]
% difference(B,product(quotient(B,C),product(C,A))) <->
% quotient(quotient(product(A,B),C),quotient(B,C))
% Current number of equations to process: 120
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [117]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,product(quotient(B,C),product(C,A)))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [118]
% difference(eta(B),product(B,product(j(B),A))) <->
% quotient(quotient(product(A,eta(B)),j(B)),B)
% Current number of equations to process: 119
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [119]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,product(j(B),A)))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [120]
% product(A,product(eta(A),j(product(eta(B),product(B,A))))) -> j(i(i(B)))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [121]
% product(A,product(eta(A),j(product(B,product(eta(B),A))))) -> j(j(j(B)))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [122]
% quotient(product(eta(A),product(B,C)),product(eta(A),B)) ->
% t(product(eta(A),B),C)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [123]
% product(quotient(quotient(i(B),i(i(A))),i(i(eta(A)))),i(i(i(i(A))))) -> i(B)
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [124]
% product(quotient(quotient(i(B),i(i(eta(A)))),i(i(A))),i(i(j(j(A))))) -> i(B)
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [125]
% product(B,product(eta(B),product(j(product(A,B)),eta(B)))) ->
% product(j(A),eta(B))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [126]
% product(A,product(eta(A),j(product(eta(B),product(C,A))))) ->
% j(product(eta(B),C))
% Rule
% [120]
% product(A,product(eta(A),j(product(eta(B),product(B,A))))) -> j(i(i(B)))
% collapsed.
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [127]
% product(quotient(quotient(i(eta(A)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(eta(A))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [128]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,product(eta(B),product(B,C))),C)
% Current number of equations to process: 105
% Current number of ordered equations: 3
% Current number of rules: 111
% New rule produced :
% [129]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(product(eta(A),product(A,product(B,C))),C)
% Current number of equations to process: 105
% Current number of ordered equations: 2
% Current number of rules: 112
% New rule produced :
% [130]
% quotient(product(A,product(eta(B),product(B,C))),C) <->
% difference(C,product(product(C,A),i(i(B))))
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [131]
% quotient(product(eta(A),product(A,product(B,C))),C) <->
% difference(C,product(product(C,i(i(A))),B))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [132]
% difference(C,product(product(C,A),j(j(B)))) <->
% quotient(product(A,product(B,product(eta(B),C))),C)
% Current number of equations to process: 103
% Current number of ordered equations: 3
% Current number of rules: 115
% New rule produced :
% [133]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,product(eta(A),product(B,C))),C)
% Current number of equations to process: 103
% Current number of ordered equations: 2
% Current number of rules: 116
% New rule produced :
% [134]
% quotient(product(A,product(B,product(eta(B),C))),C) <->
% difference(C,product(product(C,A),j(j(B))))
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [135]
% quotient(product(A,product(eta(A),product(B,C))),C) <->
% difference(C,product(product(C,j(j(A))),B))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [136]
% difference(quotient(A,B),product(A,C)) <->
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B))
% Current number of equations to process: 102
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [137]
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B)) <->
% difference(quotient(A,B),product(A,C))
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [138]
% difference(j(A),product(quotient(j(A),A),B)) <->
% quotient(product(i(A),product(B,j(A))),j(A))
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [139]
% quotient(product(i(A),product(B,j(A))),j(A)) <->
% difference(j(A),product(quotient(j(A),A),B))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [140]
% product(difference(product(A,B),product(A,product(B,C))),A) ->
% quotient(product(C,product(A,B)),B)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [141]
% product(difference(product(B,A),product(A,B)),product(eta(difference(
% product(B,A),
% product(A,B))),
% j(product(A,B)))) ->
% j(product(B,A))
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [142]
% product(quotient(quotient(i(C),i(i(B))),i(i(eta(A)))),i(quotient(i(B),
% i(i(eta(A)))))) ->
% i(C)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [143]
% difference(V_3,product(product(V_3,A),product(eta(B),C))) <->
% quotient(product(A,product(eta(B),product(C,V_3))),V_3)
% Current number of equations to process: 96
% Current number of ordered equations: 3
% Current number of rules: 126
% New rule produced :
% [144]
% difference(V_3,product(product(V_3,product(eta(A),B)),C)) <->
% quotient(product(eta(A),product(B,product(C,V_3))),V_3)
% Current number of equations to process: 96
% Current number of ordered equations: 2
% Current number of rules: 127
% New rule produced :
% [145]
% quotient(product(A,product(eta(B),product(C,V_3))),V_3) <->
% difference(V_3,product(product(V_3,A),product(eta(B),C)))
% Current number of equations to process: 96
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [146]
% quotient(product(eta(A),product(B,product(C,V_3))),V_3) <->
% difference(V_3,product(product(V_3,product(eta(A),B)),C))
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [147]
% product(eta(A),product(A,product(eta(A),j(i(B))))) ->
% j(quotient(i(B),i(i(A))))
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [148]
% quotient(t(eta(A),product(B,C)),t(eta(A),B)) -> t(t(eta(A),B),t(eta(A),C))
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [149]
% difference(product(C,B),product(C,product(B,quotient(A,product(C,B))))) ->
% quotient(quotient(A,B),C)
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [150]
% quotient(quotient(product(B,product(A,i(B))),i(B)),A) ->
% difference(product(A,i(B)),product(A,eta(B)))
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [151]
% product(product(A,B),quotient(quotient(product(C,product(A,B)),B),A)) ->
% product(A,product(B,C))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [152]
% product(eta(A),product(eta(eta(A)),j(product(A,product(B,eta(A)))))) ->
% j(product(A,B))
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [153]
% product(eta(C),product(eta(eta(C)),product(j(product(A,eta(C))),B))) ->
% product(j(A),B)
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [154]
% quotient(product(eta(A),product(j(product(B,A)),product(C,A))),A) ->
% difference(A,product(j(B),C))
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [155]
% product(eta(product(A,B)),difference(product(quotient(i(B),i(i(A))),product(A,B)),
% product(quotient(i(B),i(i(A))),quotient(product(A,
% product(B,
% quotient(
% i(B),
% i(i(A))))),
% quotient(i(B),
% i(i(A))))))) ->
% product(quotient(i(B),i(i(A))),quotient(product(A,product(B,quotient(
% i(B),i(i(A))))),
% quotient(i(B),i(i(A)))))
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [156]
% product(eta(B),product(j(product(A,B)),B)) -> product(difference(B,j(A)),B)
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [157]
% product(A,quotient(product(product(B,eta(A)),product(eta(product(A,B)),A)),A))
% -> product(product(A,B),product(eta(A),eta(product(A,B))))
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [158]
% product(A,quotient(product(eta(A),product(B,product(eta(j(j(A))),A))),A)) ->
% product(A,product(eta(A),product(B,eta(j(j(A))))))
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [159] product(i(t(eta(A),product(B,C))),i(i(t(eta(A),B)))) -> i(t(eta(A),C))
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [160]
% i(difference(product(A,product(B,C)),product(product(A,B),C))) <->
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(quotient(quotient(
% i(C),i(i(B))),
% i(i(A)))))
% Current number of equations to process: 77
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [161]
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(quotient(quotient(
% i(C),i(i(B))),
% i(i(A))))) <->
% i(difference(product(A,product(B,C)),product(product(A,B),C)))
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [162]
% product(eta(A),product(A,product(eta(A),j(product(B,i(i(A))))))) -> j(B)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [163]
% difference(i(i(A)),product(eta(A),product(product(A,B),C))) <->
% quotient(product(B,product(C,i(i(A)))),i(i(A)))
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),product(eta(A),product(product(A,B),C)))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [165]
% difference(j(j(A)),product(product(A,product(eta(A),B)),C)) <->
% quotient(product(B,product(C,j(j(A)))),j(j(A)))
% Current number of equations to process: 72
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),product(product(A,product(eta(A),B)),C))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [167]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B)
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [168]
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,i(i(A)))))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [169]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B)
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [170]
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,j(j(A)))))
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [171]
% quotient(quotient(product(C,product(A,quotient(B,C))),quotient(B,C)),A) ->
% difference(product(A,quotient(B,C)),product(A,B))
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [172]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A)
% Current number of equations to process: 68
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [173]
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A) <->
% difference(product(A,j(B)),product(A,quotient(j(B),B)))
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [174] t(eta(A),product(B,eta(A))) <-> product(eta(A),B)
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced : [175] product(eta(A),B) <-> t(eta(A),product(B,eta(A)))
% Rule [46] product(eta(A),A) -> i(i(A)) collapsed.
% Rule
% [141]
% product(difference(product(B,A),product(A,B)),product(eta(difference(
% product(B,A),
% product(A,B))),
% j(product(A,B)))) ->
% j(product(B,A)) collapsed.
% Rule
% [157]
% product(A,quotient(product(product(B,eta(A)),product(eta(product(A,B)),A)),A))
% -> product(product(A,B),product(eta(A),eta(product(A,B)))) collapsed.
% Rule
% [158]
% product(A,quotient(product(eta(A),product(B,product(eta(j(j(A))),A))),A)) ->
% product(A,product(eta(A),product(B,eta(j(j(A)))))) collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [176] t(eta(A),j(j(A))) -> i(i(A))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [177] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 156
% Rule [52] product(A,eta(eta(A))) -> j(i(A)) is composed into [52]
% product(A,
% eta(eta(A))) ->
% A
% New rule produced : [178] j(i(A)) -> A
% Rule [84] product(eta(A),product(A,j(i(i(A))))) -> eta(A) collapsed.
% Rule
% [147]
% product(eta(A),product(A,product(eta(A),j(i(B))))) ->
% j(quotient(i(B),i(i(A)))) collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [179] t(A,i(A)) -> j(A)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [180] product(eta(B),product(i(eta(B)),A)) -> A
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [181] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% Rule [180] product(eta(B),product(i(eta(B)),A)) -> A collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [182] quotient(quotient(A,i(eta(B))),eta(B)) -> A
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [183] product(eta(A),product(A,i(i(i(A))))) -> one
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [184] product(A,product(eta(A),i(j(j(A))))) -> one
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [185] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [186] i(j(A)) -> A
% Rule [86] product(A,product(eta(A),i(j(A)))) -> quotient(j(j(A)),j(A))
% collapsed.
% Rule
% [124]
% product(quotient(quotient(i(B),i(i(eta(A)))),i(i(A))),i(i(j(j(A))))) -> i(B)
% collapsed.
% Rule [184] product(A,product(eta(A),i(j(j(A))))) -> one collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [187] t(j(A),A) -> j(j(A))
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [188] product(A,i(i(A))) -> quotient(j(j(A)),j(A))
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [189] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [190] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [191] difference(t(A,B),product(A,B)) -> A
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [192] difference(A,j(j(A))) -> eta(A)
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [193] quotient(j(j(A)),eta(A)) -> A
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [194] quotient(j(j(A)),A) -> t(A,eta(A))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [195] quotient(product(A,j(j(B))),eta(B)) -> product(A,B)
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [196] difference(product(A,B),product(A,j(j(B)))) -> eta(B)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [197] product(A,product(eta(A),eta(j(j(A))))) -> j(j(j(j(A))))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [198] product(t(eta(A),B),i(eta(A))) -> t(eta(A),product(B,j(eta(A))))
% Current number of equations to process: 89
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [199] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [200] quotient(product(A,B),t(A,B)) -> t(t(A,B),A)
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [201] quotient(A,eta(eta(A))) -> A
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 174
% Rule [82] product(eta(A),product(j(eta(A)),B)) -> product(eta(eta(A)),B) is composed into 
% [82] product(eta(A),product(j(eta(A)),B)) -> product(one,B)
% New rule produced : [202] eta(eta(A)) -> one
% Rule [52] product(A,eta(eta(A))) -> A collapsed.
% Rule
% [152]
% product(eta(A),product(eta(eta(A)),j(product(A,product(B,eta(A)))))) ->
% j(product(A,B)) collapsed.
% Rule
% [153]
% product(eta(C),product(eta(eta(C)),product(j(product(A,eta(C))),B))) ->
% product(j(A),B) collapsed.
% Rule [201] quotient(A,eta(eta(A))) -> A collapsed.
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [203] difference(t(i(A),A),eta(A)) -> i(A)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [204]
% product(eta(A),product(A,product(eta(A),B))) -> j(quotient(i(B),i(i(A))))
% Rule
% [162]
% product(eta(A),product(A,product(eta(A),j(product(B,i(i(A))))))) -> j(B)
% collapsed.
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [205] difference(product(A,B),A) -> quotient(difference(B,A),A)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [206]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A)
% Current number of equations to process: 97
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [207]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A))
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [208]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B)
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [209] difference(t(quotient(A,B),B),A) -> quotient(A,B)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [210] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A))
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [211] quotient(A,t(quotient(A,B),B)) -> t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [212] j(product(eta(A),j(A))) -> A
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [213] product(eta(A),j(A)) -> i(A)
% Rule [58] product(A,product(eta(A),j(A))) -> one collapsed.
% Rule [212] j(product(eta(A),j(A))) -> A collapsed.
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [214] quotient(A,i(i(A))) -> i(eta(A))
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [215] quotient(i(i(A)),i(A)) -> i(quotient(j(A),A))
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [216] quotient(i(difference(B,A)),i(i(B))) -> i(A)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [217] quotient(i(B),i(i(quotient(A,B)))) -> i(A)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [218] product(quotient(i(A),i(i(B))),product(B,A)) -> eta(product(B,A))
% Rule
% [155]
% product(eta(product(A,B)),difference(product(quotient(i(B),i(i(A))),product(A,B)),
% product(quotient(i(B),i(i(A))),quotient(product(A,
% product(B,
% quotient(
% i(B),
% i(i(A))))),
% quotient(i(B),
% i(i(A))))))) ->
% product(quotient(i(B),i(i(A))),quotient(product(A,product(B,quotient(
% i(B),i(i(A))))),
% quotient(i(B),i(i(A))))) collapsed.
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [219] quotient(i(eta(A)),i(i(A))) -> j(A)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [220] quotient(i(A),i(i(B))) <-> quotient(i(B),i(i(t(B,A))))
% Rule [216] quotient(i(difference(B,A)),i(i(B))) -> i(A) collapsed.
% Rule [219] quotient(i(eta(A)),i(i(A))) -> j(A) collapsed.
% Current number of equations to process: 108
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced : [221] quotient(i(A),i(i(t(A,eta(A))))) -> j(A)
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [222] quotient(i(B),i(i(t(B,A)))) <-> quotient(i(A),i(i(B)))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [223] difference(quotient(i(A),i(i(B))),eta(product(B,A))) -> product(B,A)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [224]
% product(eta(A),product(B,eta(product(eta(A),B)))) -> j(j(product(eta(A),B)))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [225] quotient(quotient(i(A),i(i(eta(B)))),i(i(B))) -> quotient(i(A),B)
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 188
% Rule [53] quotient(eta(A),i(A)) -> t(i(A),A) is composed into [53]
% quotient(
% eta(A),
% i(A)) ->
% i(i(A))
% New rule produced : [226] t(i(A),A) -> i(i(A))
% Rule [203] difference(t(i(A),A),eta(A)) -> i(A) collapsed.
% Rule [210] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A)) collapsed.
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [227] product(i(A),eta(A)) -> j(A)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [228] difference(i(i(A)),eta(A)) -> i(A)
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [229] quotient(eta(A),i(i(A))) -> i(i(i(A)))
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [230] product(eta(j(A)),j(eta(A))) -> one
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [231] product(eta(A),j(B)) -> difference(A,j(quotient(B,A)))
% Rule [63] product(eta(A),j(product(B,A))) -> difference(A,j(B)) collapsed.
% Rule [85] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A))) collapsed.
% Rule [110] product(i(A),product(eta(A),j(quotient(j(A),A)))) -> j(j(A))
% collapsed.
% Rule
% [121]
% product(A,product(eta(A),j(product(B,product(eta(B),A))))) -> j(j(j(B)))
% collapsed.
% Rule
% [126]
% product(A,product(eta(A),j(product(eta(B),product(C,A))))) ->
% j(product(eta(B),C)) collapsed.
% Rule [213] product(eta(A),j(A)) -> i(A) collapsed.
% Rule [230] product(eta(j(A)),j(eta(A))) -> one collapsed.
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 185
% Rule [218] product(quotient(i(A),i(i(B))),product(B,A)) -> eta(product(B,A)) is composed into 
% [218]
% product(quotient(i(A),i(i(B))),product(B,A)) -> eta(quotient(i(A),i(i(B))))
% Rule [99]
% product(eta(A),product(B,j(product(eta(A),B)))) ->
% eta(product(eta(A),B)) is composed into [99]
% product(eta(A),product(B,
% j(product(
% eta(A),B)))) ->
% eta(quotient(i(B),i(i(eta(A)))))
% New rule produced : [232] eta(product(B,A)) -> eta(quotient(i(A),i(i(B))))
% Rule
% [223] difference(quotient(i(A),i(i(B))),eta(product(B,A))) -> product(B,A)
% collapsed.
% Rule
% [224]
% product(eta(A),product(B,eta(product(eta(A),B)))) -> j(j(product(eta(A),B)))
% collapsed.
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [233] j(product(B,A)) -> difference(eta(A),difference(A,j(B)))
% Rule
% [99]
% product(eta(A),product(B,j(product(eta(A),B)))) ->
% eta(quotient(i(B),i(i(eta(A))))) collapsed.
% Rule
% [125]
% product(B,product(eta(B),product(j(product(A,B)),eta(B)))) ->
% product(j(A),eta(B)) collapsed.
% Rule
% [154]
% quotient(product(eta(A),product(j(product(B,A)),product(C,A))),A) ->
% difference(A,product(j(B),C)) collapsed.
% Rule
% [156]
% product(eta(B),product(j(product(A,B)),B)) -> product(difference(B,j(A)),B)
% collapsed.
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [234]
% difference(i(A),j(j(A))) -> difference(A,j(quotient(quotient(j(A),A),A)))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [235] j(t(A,eta(A))) -> eta(j(j(A)))
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [236]
% product(eta(A),difference(eta(quotient(i(A),i(i(eta(B))))),difference(
% product(eta(B),A),
% j(B)))) ->
% difference(A,j(j(j(B))))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [237] product(i(A),difference(A,j(quotient(quotient(j(A),A),A)))) -> j(j(A))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [238]
% quotient(product(product(A,B),C),quotient(product(B,product(C,A)),A)) -> A
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [239]
% difference(difference(A,product(product(A,B),C)),product(B,product(C,A))) ->
% A
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [240]
% t(eta(B),product(difference(eta(B),A),C)) ->
% product(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [241]
% product(t(eta(A),B),quotient(C,eta(A))) ->
% t(eta(A),product(B,difference(eta(A),C)))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [242] quotient(A,j(eta(A))) -> j(j(A))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [243] quotient(product(A,B),difference(eta(A),B)) -> j(j(A))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [244] difference(t(j(A),i(A)),quotient(j(A),A)) -> j(A)
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [245] quotient(A,i(eta(A))) -> j(j(A))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [246] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A)))
% Rule [67] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [247] quotient(product(i(A),product(eta(A),B)),B) -> j(A)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [248] quotient(difference(A,product(eta(A),eta(A))),j(A)) -> t(j(A),eta(A))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [249]
% t(A,product(B,product(eta(B),A))) <->
% difference(A,product(product(A,A),j(j(B))))
% Current number of equations to process: 113
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [250]
% difference(A,product(product(A,A),j(j(B)))) <->
% t(A,product(B,product(eta(B),A)))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [251]
% t(A,product(eta(B),product(B,A))) <->
% difference(A,product(product(A,A),i(i(B))))
% Current number of equations to process: 112
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [252]
% difference(A,product(product(A,A),i(i(B)))) <->
% t(A,product(eta(B),product(B,A)))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [253]
% t(eta(A),product(B,product(C,eta(A)))) <->
% product(t(eta(A),B),product(eta(A),C))
% Current number of equations to process: 110
% Current number of ordered equations: 2
% Current number of rules: 200
% New rule produced :
% [254]
% t(eta(A),product(product(B,eta(A)),C)) ->
% product(eta(A),product(B,t(eta(A),C)))
% Current number of equations to process: 110
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [255]
% product(t(eta(A),B),product(eta(A),C)) <->
% t(eta(A),product(B,product(C,eta(A))))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [256] product(A,t(A,product(B,A))) <-> product(product(A,A),B)
% Current number of equations to process: 114
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [257] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [258] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% Rule [73] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [259] product(eta(A),quotient(B,C)) -> quotient(product(eta(A),B),C)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [260] product(eta(A),i(B)) -> quotient(product(eta(A),eta(B)),B)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [261] quotient(product(eta(A),B),difference(C,B)) <-> product(eta(A),C)
% Current number of equations to process: 126
% Current number of ordered equations: 1
% Current number of rules: 207
% Rule [254]
% t(eta(A),product(product(B,eta(A)),C)) ->
% product(eta(A),product(B,t(eta(A),C))) is composed into [254]
% t(eta(A),
% product(
% product(B,
% eta(A)),C)) ->
% quotient(
% product(
% eta(A),B),
% difference(
% product(B,
% t(eta(A),C)),B))
% Rule [252]
% difference(A,product(product(A,A),i(i(B)))) <->
% t(A,product(eta(B),product(B,A))) is composed into [252]
% difference(A,
% product(product(A,A),
% i(i(B)))) <->
% t(A,quotient(
% product(eta(B),B),
% difference(
% product(B,A),B)))
% Rule [246] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A))) is composed into 
% [246]
% product(j(A),eta(A)) ->
% difference(A,quotient(product(eta(A),x3),difference(eta(A),x3)))
% Rule [169]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B) is composed into 
% [169]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(product(eta(A),B),difference(product(B,C),B))),C),B)
% Rule [167]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B) is composed into 
% [167]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(product(eta(A),B),difference(product(A,product(B,C)),B)),C),B)
% Rule [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),product(eta(A),product(product(A,B),C))) is composed into 
% [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(product(A,B),C),B)))
% Rule [144]
% difference(V_3,product(product(V_3,product(eta(A),B)),C)) <->
% quotient(product(eta(A),product(B,product(C,V_3))),V_3) is composed into 
% [144]
% difference(V_3,product(product(V_3,product(eta(A),B)),C)) <->
% quotient(quotient(product(eta(A),B),difference(product(B,product(C,V_3)),B)),V_3)
% Rule [143]
% difference(V_3,product(product(V_3,A),product(eta(B),C))) <->
% quotient(product(A,product(eta(B),product(C,V_3))),V_3) is composed into 
% [143]
% difference(V_3,product(product(V_3,A),product(eta(B),C))) <->
% quotient(product(A,quotient(product(eta(B),x3),difference(product(C,V_3),x3))),V_3)
% Rule [133]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,product(eta(A),product(B,C))),C) is composed into 
% [133]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,quotient(product(eta(A),B),difference(product(B,C),B))),C)
% Rule [129]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(product(eta(A),product(A,product(B,C))),C) is composed into 
% [129]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(quotient(product(eta(A),B),difference(product(A,product(B,C)),B)),C)
% Rule [128]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,product(eta(B),product(B,C))),C) is composed into 
% [128]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,quotient(product(eta(B),B),difference(product(B,C),B))),C)
% Rule [87] product(i(A),j(j(A))) -> product(eta(A),eta(A)) is composed into 
% [87]
% product(i(A),j(j(A))) -> quotient(product(eta(A),x3),difference(eta(A),x3))
% Rule [18] product(product(eta(A),B),C) -> product(eta(A),product(B,C)) is composed into 
% [18]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),difference(product(B,C),B))
% Rule [14] product(i(i(A)),B) -> product(eta(A),product(A,B)) is composed into 
% [14]
% product(i(i(A)),B) -> quotient(product(eta(A),B),difference(product(A,B),B))
% New rule produced :
% [262] product(eta(A),C) <-> quotient(product(eta(A),B),difference(C,B))
% Rule [74] quotient(product(eta(A),product(B,C)),C) -> product(eta(A),B)
% collapsed.
% Rule [76] difference(i(i(A)),product(eta(A),product(A,B))) -> B collapsed.
% Rule [77] product(eta(B),product(B,difference(i(i(B)),A))) -> A collapsed.
% Rule [79] product(B,product(eta(B),difference(j(j(B)),A))) -> A collapsed.
% Rule [81] product(eta(C),product(difference(eta(C),A),B)) -> product(A,B)
% collapsed.
% Rule [82] product(eta(A),product(j(eta(A)),B)) -> product(one,B) collapsed.
% Rule [90] difference(product(eta(A),B),product(eta(A),product(B,C))) -> C
% collapsed.
% Rule [91] product(eta(B),product(C,difference(product(eta(B),C),A))) -> A
% collapsed.
% Rule [97] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% collapsed.
% Rule
% [122]
% quotient(product(eta(A),product(B,C)),product(eta(A),B)) ->
% t(product(eta(A),B),C) collapsed.
% Rule
% [130]
% quotient(product(A,product(eta(B),product(B,C))),C) <->
% difference(C,product(product(C,A),i(i(B)))) collapsed.
% Rule
% [131]
% quotient(product(eta(A),product(A,product(B,C))),C) <->
% difference(C,product(product(C,i(i(A))),B)) collapsed.
% Rule
% [135]
% quotient(product(A,product(eta(A),product(B,C))),C) <->
% difference(C,product(product(C,j(j(A))),B)) collapsed.
% Rule
% [145]
% quotient(product(A,product(eta(B),product(C,V_3))),V_3) <->
% difference(V_3,product(product(V_3,A),product(eta(B),C))) collapsed.
% Rule
% [146]
% quotient(product(eta(A),product(B,product(C,V_3))),V_3) <->
% difference(V_3,product(product(V_3,product(eta(A),B)),C)) collapsed.
% Rule
% [163]
% difference(i(i(A)),product(eta(A),product(product(A,B),C))) <->
% quotient(product(B,product(C,i(i(A)))),i(i(A))) collapsed.
% Rule
% [168]
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,i(i(A))))) collapsed.
% Rule
% [170]
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,j(j(A))))) collapsed.
% Rule [177] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% collapsed.
% Rule [183] product(eta(A),product(A,i(i(i(A))))) -> one collapsed.
% Rule [197] product(A,product(eta(A),eta(j(j(A))))) -> j(j(j(j(A))))
% collapsed.
% Rule
% [204]
% product(eta(A),product(A,product(eta(A),B))) -> j(quotient(i(B),i(i(A))))
% collapsed.
% Rule [231] product(eta(A),j(B)) -> difference(A,j(quotient(B,A))) collapsed.
% Rule
% [236]
% product(eta(A),difference(eta(quotient(i(A),i(i(eta(B))))),difference(
% product(eta(B),A),
% j(B)))) ->
% difference(A,j(j(j(B)))) collapsed.
% Rule
% [248] quotient(difference(A,product(eta(A),eta(A))),j(A)) -> t(j(A),eta(A))
% collapsed.
% Rule
% [251]
% t(A,product(eta(B),product(B,A))) <->
% difference(A,product(product(A,A),i(i(B)))) collapsed.
% Rule [259] product(eta(A),quotient(B,C)) -> quotient(product(eta(A),B),C)
% collapsed.
% Rule [260] product(eta(A),i(B)) -> quotient(product(eta(A),eta(B)),B)
% collapsed.
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [263] quotient(i(i(A)),A) -> eta(A)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [264] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [265]
% quotient(quotient(product(eta(A),B),difference(eta(B),B)),j(B)) ->
% product(eta(A),B)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [266] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A)
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [267] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [268] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [269]
% quotient(product(eta(A),B),difference(j(B),B)) ->
% difference(A,j(quotient(B,A)))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [270]
% quotient(quotient(product(eta(A),B),difference(quotient(j(B),B),B)),i(B)) ->
% difference(A,j(quotient(B,A)))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [271] quotient(product(eta(A),B),difference(product(j(eta(A)),B),B)) -> B
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [272]
% quotient(t(eta(A),product(x3,eta(A))),difference(product(A,i(i(i(A)))),x3))
% -> one
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [273] difference(j(j(A)),A) -> j(eta(A))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [274] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% Rule [78] difference(j(j(A)),product(A,product(eta(A),B))) -> B collapsed.
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [275] product(A,i(eta(B))) -> quotient(A,eta(B))
% Rule [198] product(t(eta(A),B),i(eta(A))) -> t(eta(A),product(B,j(eta(A))))
% collapsed.
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [276] product(A,quotient(B,eta(C))) -> quotient(product(A,B),eta(C))
% Rule
% [241]
% product(t(eta(A),B),quotient(C,eta(A))) ->
% t(eta(A),product(B,difference(eta(A),C))) collapsed.
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [277] product(product(A,B),eta(C)) -> product(A,product(B,eta(C)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [278] product(quotient(A,product(C,eta(B))),C) -> quotient(A,eta(B))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [279] difference(product(A,eta(B)),product(A,i(i(B)))) -> B
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [280] t(eta(A),product(B,j(eta(A)))) -> quotient(t(eta(A),B),eta(A))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [281] difference(product(B,eta(C)),product(B,product(eta(C),A))) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [282]
% quotient(product(A,i(i(B))),product(A,eta(B))) -> t(product(A,eta(B)),B)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [283]
% quotient(product(t(eta(A),B),C),eta(A)) ->
% t(eta(A),product(B,difference(eta(A),C)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [284]
% quotient(product(eta(A),B),difference(difference(eta(quotient(i(eta(A)),
% i(i(B)))),difference(
% product(B,
% eta(A)),
% j(A))),B)) ->
% difference(eta(B),difference(B,j(A)))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [285]
% quotient(quotient(product(eta(A),B),quotient(difference(C,B),B)),C) ->
% product(eta(A),B)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [286]
% quotient(product(eta(C),B),difference(product(difference(eta(C),j(A)),B),B))
% -> product(j(A),B)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [287]
% difference(product(B,A),product(B,product(A,difference(eta(A),difference(A,
% j(B)))))) ->
% quotient(j(A),B)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [288] quotient(quotient(j(A),A),t(j(A),i(A))) -> t(t(j(A),i(A)),j(A))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [289]
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3))) <->
% difference(A,product(product(A,A),product(eta(B),C)))
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [290]
% difference(A,product(product(A,A),product(eta(B),C))) <->
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3)))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [291]
% quotient(quotient(product(eta(A),B),difference(quotient(i(i(B)),quotient(
% difference(C,B),B)),B)),C)
% -> quotient(product(eta(A),B),difference(i(i(B)),B))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [292] product(A,j(eta(B))) -> quotient(A,eta(B))
% Rule [280] t(eta(A),product(B,j(eta(A)))) -> quotient(t(eta(A),B),eta(A))
% collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [293] quotient(t(eta(A),B),eta(A)) -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [294] difference(product(A,B),product(A,product(B,eta(C)))) -> eta(C)
% Rule [88] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% collapsed.
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [295] quotient(product(A,product(eta(B),C)),eta(B)) -> product(A,t(eta(B),C))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [296]
% product(t(product(A,eta(B)),C),A) ->
% quotient(product(product(A,eta(B)),C),eta(B))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [297]
% quotient(product(A,product(B,eta(C))),product(A,B)) -> t(product(A,B),eta(C))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [298]
% quotient(product(j(A),B),A) -> difference(A,quotient(product(eta(A),B),A))
% Rule
% [89]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% collapsed.
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [299]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% Rule
% [92]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% collapsed.
% Rule
% [151]
% product(product(A,B),quotient(quotient(product(C,product(A,B)),B),A)) ->
% product(A,product(B,C)) collapsed.
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [300]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A))
% Rule
% [93]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% collapsed.
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [301]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [302]
% difference(i(A),quotient(product(eta(A),B),i(A))) ->
% quotient(product(A,B),i(A))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [303]
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(A,B),B))) ->
% B
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [304] quotient(i(i(B)),quotient(difference(difference(i(i(B)),A),B),B)) -> A
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [305] product(B,quotient(i(i(B)),difference(difference(j(j(B)),A),B))) -> A
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [306]
% quotient(product(eta(C),B),difference(product(difference(eta(C),A),B),B)) ->
% product(A,B)
% Rule
% [286]
% quotient(product(eta(C),B),difference(product(difference(eta(C),j(A)),B),B))
% -> product(j(A),B) collapsed.
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [307]
% quotient(product(eta(A),B),difference(t(eta(A),B),B)) ->
% t(eta(A),product(eta(A),B))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [308]
% quotient(t(eta(quotient(i(A),i(i(B)))),product(B,eta(quotient(i(A),i(i(B)))))),
% difference(product(product(B,A),C),B)) ->
% product(i(quotient(i(A),i(i(B)))),C)
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [309]
% product(A,quotient(product(B,product(quotient(i(B),i(i(A))),A)),A)) -> one
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [310]
% quotient(t(eta(j(A)),product(x3,eta(j(A)))),difference(eta(j(A)),x3)) ->
% quotient(quotient(quotient(t(eta(A),product(x3,eta(A))),difference(eta(j(A)),x3)),A),
% j(A))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [311]
% quotient(quotient(product(eta(A),B),quotient(difference(product(eta(B),C),B),B)),C)
% -> difference(A,j(quotient(j(B),A)))
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [312]
% quotient(product(eta(A),B),difference(product(eta(B),C),B)) <->
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x3,
% eta(B))),
% difference(product(C,V_3),x3)),B)),V_3)
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [313]
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x3,
% eta(B))),
% difference(product(C,V_3),x3)),B)),V_3)
% <-> quotient(product(eta(A),B),difference(product(eta(B),C),B))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [314]
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B)))
% <-> product(B,C)
% Current number of equations to process: 187
% Current number of ordered equations: 1
% Current number of rules: 222
% Rule [289]
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3)))
% <-> difference(A,product(product(A,A),product(eta(B),C))) is composed into 
% [289]
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% product(
% eta(B),C),
% product(A,A)),
% product(A,A)))))
% Rule [266] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A) is composed into 
% [266]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))),A)
% Rule [256] product(A,t(A,product(B,A))) <-> product(product(A,A),B) is composed into 
% [256]
% product(A,t(A,product(B,A))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),eta(A)),
% quotient(difference(product(A,A),
% eta(A)),eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A))))
% Rule [253]
% t(eta(A),product(B,product(C,eta(A)))) <->
% product(t(eta(A),B),product(eta(A),C)) is composed into [253]
% t(eta(A),
% product(B,
% product(C,
% eta(A)))) <->
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% t(
% eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(
% eta(A),C),
% t(
% eta(A),B)),
% t(
% eta(A),B))))
% Rule [249]
% t(A,product(B,product(eta(B),A))) <->
% difference(A,product(product(A,A),j(j(B)))) is composed into [249]
% t(A,
% product(B,
% product(
% eta(B),A)))
% <->
% difference(A,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% j(j(B)),
% product(A,A)),
% product(A,A)))))
% Rule [206]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A) is composed into [206]
% t(A,quotient(
% product(B,
% product(C,A)),A))
% <->
% quotient(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),A)
% Rule [172]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A) is composed into 
% [172]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(difference(eta(x3),quotient(difference(eta(x3),quotient(
% product(
% eta(x3),
% eta(x3)),
% quotient(
% difference(
% i(B),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(A,j(B)),
% i(B)),i(B)))),j(B)),A)
% Rule [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),product(product(A,product(eta(A),B)),C)) is composed into 
% [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,
% product(
% eta(A),B)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,
% product(eta(A),B))),
% product(A,product(eta(A),B))))))
% Rule [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(
% product(A,B),C),B))) is composed into 
% [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% product(A,B)),
% product(A,B)))),B)))
% Rule [134]
% quotient(product(A,product(B,product(eta(B),C))),C) <->
% difference(C,product(product(C,A),j(j(B)))) is composed into [134]
% quotient(
% product(A,
% product(B,
% product(
% eta(B),C))),C)
% <->
% difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(C,A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% j(j(B)),
% product(C,A)),
% product(C,A)))))
% Rule [119]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,product(j(B),A))) is composed into [119]
% quotient(
% quotient(
% product(A,
% eta(B)),
% j(B)),B)
% <->
% difference(
% eta(B),
% product(B,
% difference(
% eta(x3),
% quotient(
% difference(
% eta(x3),
% quotient(
% product(
% eta(x3),
% eta(x3)),
% quotient(
% difference(
% j(B),
% eta(x3)),
% eta(x3)))),
% quotient(
% difference(A,
% j(B)),
% j(B))))))
% Rule [117]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,product(quotient(B,C),product(C,A))) is composed into 
% [117]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x3),quotient(difference(eta(x3),quotient(
% product(eta(x3),
% eta(x3)),
% quotient(
% difference(
% quotient(B,C),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(C,A),quotient(B,C)),
% quotient(B,C)))))
% Rule [115]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,product(difference(C,B),A))) is composed into 
% [115]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x3),quotient(difference(eta(x3),
% quotient(product(eta(x3),
% eta(x3)),
% quotient(difference(
% difference(C,B),
% eta(x3)),
% eta(x3)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B))))))
% Rule [113]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),product(i(B),product(B,A))) is composed into [113]
% quotient(
% quotient(
% product(A,
% eta(B)),B),
% i(B)) <->
% difference(
% eta(B),
% difference(
% eta(x3),
% quotient(
% difference(
% eta(x3),
% quotient(
% product(
% eta(x3),
% eta(x3)),
% quotient(
% difference(
% i(B),
% eta(x3)),
% eta(x3)))),
% quotient(
% difference(
% product(B,A),
% i(B)),
% i(B)))))
% Rule [107]
% a(A,B,C) -> difference(product(A,product(B,C)),product(product(A,B),C)) is composed into 
% [107]
% a(A,B,C) ->
% difference(product(A,product(B,C)),difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% product(A,B)),
% product(A,B)))))
% Rule [94]
% product(A,quotient(product(B,product(C,A)),A)) <->
% product(product(A,B),C) is composed into [94]
% product(A,quotient(product(B,
% product(C,A)),A))
% <->
% difference(eta(A),quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B))))
% Rule [68] t(A,product(B,A)) <-> difference(A,product(product(A,A),B)) is composed into 
% [68]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))))
% Rule [20]
% quotient(product(B,product(C,A)),A) <->
% difference(A,product(product(A,B),C)) is composed into [20]
% quotient(
% product(B,
% product(C,A)),A)
% <->
% difference(A,
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% New rule produced :
% [315]
% product(B,C) <->
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B)))
% Rule [5] product(i(A),A) -> eta(A) collapsed.
% Rule [9] product(quotient(A,B),B) -> A collapsed.
% Rule [12] product(j(A),i(A)) -> quotient(j(A),A) collapsed.
% Rule
% [14]
% product(i(i(A)),B) -> quotient(product(eta(A),B),difference(product(A,B),B))
% collapsed.
% Rule [15] product(j(j(A)),B) -> product(A,product(eta(A),B)) collapsed.
% Rule
% [18]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),difference(product(B,C),B)) collapsed.
% Rule
% [21]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% collapsed.
% Rule [22] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% collapsed.
% Rule
% [26]
% product(product(product(quotient(j(A),A),product(A,A)),B),C) ->
% product(product(quotient(j(A),A),product(A,A)),product(B,C)) collapsed.
% Rule [35] product(j(A),A) -> one collapsed.
% Rule [51] product(t(A,B),A) -> product(A,B) collapsed.
% Rule [69] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% collapsed.
% Rule
% [87]
% product(i(A),j(j(A))) -> quotient(product(eta(A),x3),difference(eta(A),x3))
% collapsed.
% Rule
% [95]
% product(product(A,B),C) <-> product(A,quotient(product(B,product(C,A)),A))
% collapsed.
% Rule
% [96]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C)) collapsed.
% Rule
% [112]
% difference(eta(B),product(i(B),product(B,A))) <->
% quotient(quotient(product(A,eta(B)),B),i(B)) collapsed.
% Rule
% [114]
% difference(B,product(C,product(difference(C,B),A))) <->
% quotient(quotient(product(A,B),difference(C,B)),C) collapsed.
% Rule
% [116]
% difference(B,product(quotient(B,C),product(C,A))) <->
% quotient(quotient(product(A,B),C),quotient(B,C)) collapsed.
% Rule
% [118]
% difference(eta(B),product(B,product(j(B),A))) <->
% quotient(quotient(product(A,eta(B)),j(B)),B) collapsed.
% Rule
% [123]
% product(quotient(quotient(i(B),i(i(A))),i(i(eta(A)))),i(i(i(i(A))))) -> i(B)
% collapsed.
% Rule
% [127]
% product(quotient(quotient(i(eta(A)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(eta(A)) collapsed.
% Rule
% [128]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,quotient(product(eta(B),B),difference(product(B,C),B))),C)
% collapsed.
% Rule
% [129]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(quotient(product(eta(A),B),difference(product(A,product(B,C)),B)),C)
% collapsed.
% Rule
% [132]
% difference(C,product(product(C,A),j(j(B)))) <->
% quotient(product(A,product(B,product(eta(B),C))),C) collapsed.
% Rule
% [133]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,quotient(product(eta(A),B),difference(product(B,C),B))),C)
% collapsed.
% Rule
% [138]
% difference(j(A),product(quotient(j(A),A),B)) <->
% quotient(product(i(A),product(B,j(A))),j(A)) collapsed.
% Rule
% [139]
% quotient(product(i(A),product(B,j(A))),j(A)) <->
% difference(j(A),product(quotient(j(A),A),B)) collapsed.
% Rule
% [140]
% product(difference(product(A,B),product(A,product(B,C))),A) ->
% quotient(product(C,product(A,B)),B) collapsed.
% Rule
% [142]
% product(quotient(quotient(i(C),i(i(B))),i(i(eta(A)))),i(quotient(i(B),
% i(i(eta(A)))))) ->
% i(C) collapsed.
% Rule
% [143]
% difference(V_3,product(product(V_3,A),product(eta(B),C))) <->
% quotient(product(A,quotient(product(eta(B),x3),difference(product(C,V_3),x3))),V_3)
% collapsed.
% Rule
% [144]
% difference(V_3,product(product(V_3,product(eta(A),B)),C)) <->
% quotient(quotient(product(eta(A),B),difference(product(B,product(C,V_3)),B)),V_3)
% collapsed.
% Rule
% [159] product(i(t(eta(A),product(B,C))),i(i(t(eta(A),B)))) -> i(t(eta(A),C))
% collapsed.
% Rule
% [160]
% i(difference(product(A,product(B,C)),product(product(A,B),C))) <->
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(quotient(quotient(
% i(C),i(i(B))),
% i(i(A))))) collapsed.
% Rule
% [161]
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(quotient(quotient(
% i(C),i(i(B))),
% i(i(A))))) <->
% i(difference(product(A,product(B,C)),product(product(A,B),C))) collapsed.
% Rule
% [165]
% difference(j(j(A)),product(product(A,product(eta(A),B)),C)) <->
% quotient(product(B,product(C,j(j(A)))),j(j(A))) collapsed.
% Rule
% [173]
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A) <->
% difference(product(A,j(B)),product(A,quotient(j(B),B))) collapsed.
% Rule [181] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% collapsed.
% Rule [185] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% collapsed.
% Rule [189] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% collapsed.
% Rule [199] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% collapsed.
% Rule
% [207]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A)) collapsed.
% Rule
% [208]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B) collapsed.
% Rule
% [218]
% product(quotient(i(A),i(i(B))),product(B,A)) -> eta(quotient(i(A),i(i(B))))
% collapsed.
% Rule [227] product(i(A),eta(A)) -> j(A) collapsed.
% Rule
% [237] product(i(A),difference(A,j(quotient(quotient(j(A),A),A)))) -> j(j(A))
% collapsed.
% Rule
% [238]
% quotient(product(product(A,B),C),quotient(product(B,product(C,A)),A)) -> A
% collapsed.
% Rule
% [239]
% difference(difference(A,product(product(A,B),C)),product(B,product(C,A))) ->
% A collapsed.
% Rule
% [240]
% t(eta(B),product(difference(eta(B),A),C)) ->
% product(quotient(A,eta(B)),t(eta(B),C)) collapsed.
% Rule
% [246]
% product(j(A),eta(A)) ->
% difference(A,quotient(product(eta(A),x3),difference(eta(A),x3))) collapsed.
% Rule [247] quotient(product(i(A),product(eta(A),B)),B) -> j(A) collapsed.
% Rule
% [250]
% difference(A,product(product(A,A),j(j(B)))) <->
% t(A,product(B,product(eta(B),A))) collapsed.
% Rule
% [252]
% difference(A,product(product(A,A),i(i(B)))) <->
% t(A,quotient(product(eta(B),B),difference(product(B,A),B))) collapsed.
% Rule
% [254]
% t(eta(A),product(product(B,eta(A)),C)) ->
% quotient(product(eta(A),B),difference(product(B,t(eta(A),C)),B)) collapsed.
% Rule
% [255]
% product(t(eta(A),B),product(eta(A),C)) <->
% t(eta(A),product(B,product(C,eta(A)))) collapsed.
% Rule [257] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% collapsed.
% Rule [258] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% collapsed.
% Rule [264] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B) collapsed.
% Rule [267] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% collapsed.
% Rule [268] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% collapsed.
% Rule
% [271] quotient(product(eta(A),B),difference(product(j(eta(A)),B),B)) -> B
% collapsed.
% Rule [277] product(product(A,B),eta(C)) -> product(A,product(B,eta(C)))
% collapsed.
% Rule [278] product(quotient(A,product(C,eta(B))),C) -> quotient(A,eta(B))
% collapsed.
% Rule
% [283]
% quotient(product(t(eta(A),B),C),eta(A)) ->
% t(eta(A),product(B,difference(eta(A),C))) collapsed.
% Rule
% [290]
% difference(A,product(product(A,A),product(eta(B),C))) <->
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3)))
% collapsed.
% Rule
% [296]
% product(t(product(A,eta(B)),C),A) ->
% quotient(product(product(A,eta(B)),C),eta(B)) collapsed.
% Rule
% [298]
% quotient(product(j(A),B),A) -> difference(A,quotient(product(eta(A),B),A))
% collapsed.
% Rule
% [299]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% collapsed.
% Rule
% [300]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A)) collapsed.
% Rule
% [301]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A) collapsed.
% Rule
% [306]
% quotient(product(eta(C),B),difference(product(difference(eta(C),A),B),B)) ->
% product(A,B) collapsed.
% Rule
% [308]
% quotient(t(eta(quotient(i(A),i(i(B)))),product(B,eta(quotient(i(A),i(i(B)))))),
% difference(product(product(B,A),C),B)) ->
% product(i(quotient(i(A),i(i(B)))),C) collapsed.
% Rule
% [309]
% product(A,quotient(product(B,product(quotient(i(B),i(i(A))),A)),A)) -> one
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% difference(eta(x3),quotient(quotient(i(i(x3)),difference(x0,x3)),quotient(
% difference(
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% difference(x1,x3)),
% quotient(
% difference(
% difference(
% eta(x3),
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% difference(
% eta(x3),x3)),
% quotient(
% difference(
% difference(
% product(x3,x2),
% product(x2,x3)),
% eta(x3)),
% eta(x3)))),
% quotient(
% difference(x0,
% difference(
% product(x3,x2),
% product(x2,x3))),
% difference(
% product(x3,x2),
% product(x2,x3))))),x1),x1))),x0),x0),x0))) = 
% product(x0,product(x1,difference(product(x3,x2),product(x2,x3))))
% 
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [316]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A)
% Current number of equations to process: 248
% Current number of ordered equations: 11
% Current number of rules: 152
% New rule produced :
% [317]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),quotient(difference(
% i(A),
% j(A)),
% j(A)))) ->
% quotient(j(A),A)
% Current number of equations to process: 248
% Current number of ordered equations: 10
% Current number of rules: 153
% New rule produced :
% [318]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% Current number of equations to process: 248
% Current number of ordered equations: 9
% Current number of rules: 154
% Rule [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),
% quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% product(A,
% product(
% eta(A),B)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,
% product(
% eta(A),B))),
% product(A,product(eta(A),B)))))) is composed into 
% [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% New rule produced :
% [319]
% product(A,product(eta(A),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [66] quotient(product(A,product(eta(A),B)),B) -> j(j(A)) collapsed.
% Rule [98] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% collapsed.
% Rule
% [134]
% quotient(product(A,product(B,product(eta(B),C))),C) <->
% difference(C,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(C,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% j(
% j(B)),
% product(C,A)),
% product(C,A)))))
% collapsed.
% Rule
% [249]
% t(A,product(B,product(eta(B),A))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% j(
% j(B)),
% product(A,A)),
% product(A,A)))))
% collapsed.
% Current number of equations to process: 252
% Current number of ordered equations: 8
% Current number of rules: 151
% New rule produced :
% [320]
% quotient(product(eta(A),B),difference(product(A,B),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% Rule
% [303]
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(A,B),B))) ->
% B collapsed.
% Current number of equations to process: 253
% Current number of ordered equations: 7
% Current number of rules: 151
% New rule produced :
% [321]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% Current number of equations to process: 1107
% Current number of ordered equations: 1669
% Current number of rules: 152
% New rule produced :
% [322]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% <-> quotient(product(B,product(C,A)),A)
% Current number of equations to process: 1107
% Current number of ordered equations: 1668
% Current number of rules: 153
% New rule produced :
% [323]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,product(eta(A),B)),product(eta(A),B))))
% -> quotient(product(eta(A),B),quotient(difference(C,B),B))
% Current number of equations to process: 1107
% Current number of ordered equations: 1667
% Current number of rules: 154
% Rule [307]
% quotient(product(eta(A),B),difference(t(eta(A),B),B)) ->
% t(eta(A),product(eta(A),B)) is composed into [307]
% quotient(product(eta(A),B),
% difference(t(eta(A),B),B))
% ->
% difference(eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% t(
% eta(A),
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% t(
% eta(A),B),
% t(
% eta(A),
% eta(A))),
% t(
% eta(A),
% eta(A)))))
% New rule produced :
% [324]
% t(eta(A),product(B,C)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% Current number of equations to process: 1157
% Current number of ordered equations: 1807
% Current number of rules: 155
% New rule produced :
% [325]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% <-> t(eta(A),product(B,C))
% Current number of equations to process: 1134
% Current number of ordered equations: 1829
% Current number of rules: 156
% New rule produced :
% [326]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% Current number of equations to process: 0
% Current number of ordered equations: 3706
% Current number of rules: 157
% New rule produced :
% [327]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 0
% Current number of ordered equations: 3705
% Current number of rules: 158
% Rule [235] j(t(A,eta(A))) -> eta(j(j(A))) is composed into [235]
% j(t(A,eta(A))) ->
% eta(A)
% New rule produced : [328] eta(j(A)) -> eta(A)
% Rule
% [310]
% quotient(t(eta(j(A)),product(x3,eta(j(A)))),difference(eta(j(A)),x3)) ->
% quotient(quotient(quotient(t(eta(A),product(x3,eta(A))),difference(eta(j(A)),x3)),A),
% j(A)) collapsed.
% Current number of equations to process: 120
% Current number of ordered equations: 3552
% Current number of rules: 158
% Rule [214] quotient(A,i(i(A))) -> i(eta(A)) is composed into [214]
% quotient(A,
% i(i(A))) ->
% j(eta(A))
% New rule produced : [329] i(eta(A)) -> j(eta(A))
% Rule [182] quotient(quotient(A,i(eta(B))),eta(B)) -> A collapsed.
% Rule [225] quotient(quotient(i(A),i(i(eta(B)))),i(i(B))) -> quotient(i(A),B)
% collapsed.
% Rule [245] quotient(A,i(eta(A))) -> j(j(A)) collapsed.
% Rule [275] product(A,i(eta(B))) -> quotient(A,eta(B)) collapsed.
% Rule
% [284]
% quotient(product(eta(A),B),difference(difference(eta(quotient(i(eta(A)),
% i(i(B)))),difference(
% product(B,
% eta(A)),
% j(A))),B)) ->
% difference(eta(B),difference(B,j(A))) collapsed.
% Current number of equations to process: 271
% Current number of ordered equations: 3242
% Current number of rules: 154
% New rule produced : [330] j(j(eta(A))) -> eta(A)
% Current number of equations to process: 277
% Current number of ordered equations: 3229
% Current number of rules: 155
% New rule produced : [331] difference(i(A),j(A)) -> eta(A)
% Rule
% [317]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),quotient(difference(
% i(A),
% j(A)),
% j(A)))) ->
% quotient(j(A),A) collapsed.
% Current number of equations to process: 280
% Current number of ordered equations: 3212
% Current number of rules: 155
% New rule produced :
% [332]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),A)) ->
% quotient(j(A),A)
% Current number of equations to process: 279
% Current number of ordered equations: 3212
% Current number of rules: 156
% New rule produced : [333] quotient(j(A),eta(A)) -> i(A)
% Current number of equations to process: 288
% Current number of ordered equations: 3202
% Current number of rules: 157
% New rule produced : [334] difference(eta(A),i(A)) -> j(A)
% Current number of equations to process: 292
% Current number of ordered equations: 3193
% Current number of rules: 158
% New rule produced : [335] quotient(difference(i(A),A),A) -> A
% Current number of equations to process: 292
% Current number of ordered equations: 3190
% Current number of rules: 159
% New rule produced : [336] difference(j(eta(A)),A) -> i(i(A))
% Current number of equations to process: 291
% Current number of ordered equations: 3189
% Current number of rules: 160
% New rule produced : [337] difference(eta(A),i(i(A))) -> A
% Current number of equations to process: 293
% Current number of ordered equations: 3184
% Current number of rules: 161
% New rule produced : [338] quotient(i(A),j(A)) -> eta(A)
% Current number of equations to process: 293
% Current number of ordered equations: 3183
% Current number of rules: 162
% New rule produced : [339] difference(j(A),i(A)) -> j(eta(A))
% Current number of equations to process: 295
% Current number of ordered equations: 3180
% Current number of rules: 163
% New rule produced : [340] t(eta(A),j(A)) -> i(i(i(A)))
% Current number of equations to process: 295
% Current number of ordered equations: 3179
% Current number of rules: 164
% New rule produced : [341] quotient(j(A),i(A)) -> j(eta(A))
% Current number of equations to process: 295
% Current number of ordered equations: 3178
% Current number of rules: 165
% New rule produced : [342] difference(eta(A),j(A)) -> j(j(j(A)))
% Current number of equations to process: 299
% Current number of ordered equations: 3173
% Current number of rules: 166
% Rule [194] quotient(j(j(A)),A) -> t(A,eta(A)) is composed into [194]
% quotient(
% j(j(A)),A) ->
% j(eta(A))
% New rule produced : [343] t(A,eta(A)) -> j(eta(A))
% Rule [221] quotient(i(A),i(i(t(A,eta(A))))) -> j(A) collapsed.
% Rule [235] j(t(A,eta(A))) -> eta(A) collapsed.
% Current number of equations to process: 312
% Current number of ordered equations: 3152
% Current number of rules: 165
% New rule produced : [344] quotient(i(A),j(eta(A))) -> j(A)
% Current number of equations to process: 312
% Current number of ordered equations: 3151
% Current number of rules: 166
% Rule [315]
% product(B,C) <->
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B))) is composed into 
% [315]
% product(B,C) <->
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% Rule [289]
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3)))
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(eta(B),C),
% product(A,A)),product(A,A))))) is composed into 
% [289]
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(
% eta(B),
% i(C)),
% product(A,A)),
% product(A,A)))))
% Rule [266]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A)))),A) is composed into 
% [266]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))),A)
% Rule [256]
% product(A,t(A,product(B,A))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A)))) is composed into 
% [256]
% product(A,t(A,product(B,A))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A))))
% Rule [253]
% t(eta(A),product(B,product(C,eta(A)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% t(
% eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(difference(product(eta(A),C),t(eta(A),B)),
% t(eta(A),B)))) is composed into [253]
% t(eta(A),product(B,
% product(C,
% eta(A)))) ->
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% difference(
% t(eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(
% eta(A),
% i(C)),
% t(eta(A),B)),
% t(eta(A),B))))
% Rule [206]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B)))),A) is composed into 
% [206]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),A)
% Rule [174] t(eta(A),product(B,eta(A))) <-> product(eta(A),B) is composed into 
% [174] t(eta(A),product(B,eta(A))) -> quotient(eta(A),i(B))
% Rule [172]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(difference(eta(x3),quotient(difference(eta(x3),
% quotient(product(eta(x3),
% eta(x3)),
% quotient(difference(
% i(B),eta(x3)),
% eta(x3)))),quotient(
% difference(
% product(A,
% j(B)),i(B)),
% i(B)))),
% j(B)),A) is composed into [172]
% difference(product(A,j(B)),product(A,
% quotient(
% j(B),B)))
% ->
% quotient(quotient(difference(
% eta(x3),quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(eta(x3))),
% quotient(
% difference(
% i(B),
% eta(x3)),
% eta(x3)))),
% quotient(
% difference(
% product(A,
% j(B)),
% i(B)),
% i(B)))),
% j(B)),A)
% Rule [169]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(product(eta(A),B),difference(
% product(B,C),B))),C),B) is composed into 
% [169]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(quotient(eta(A),i(B)),difference(
% product(B,C),B))),C),B)
% Rule [167]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(product(eta(A),B),difference(product(A,
% product(B,C)),B)),C),B) is composed into 
% [167]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(quotient(eta(A),i(B)),difference(product(A,
% product(B,C)),B)),C),B)
% Rule [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),
% quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(
% j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(
% difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(
% j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))))))) is composed into 
% [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% Rule [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),B))) is composed into 
% [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(quotient(eta(A),i(B)),difference(difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(
% eta(A))),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),B)))
% Rule [119]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,difference(eta(x3),quotient(difference(
% eta(x3),
% quotient(
% product(
% eta(x3),
% eta(x3)),
% quotient(
% difference(
% j(B),eta(x3)),
% eta(x3)))),
% quotient(difference(A,
% j(B)),j(B)))))) is composed into 
% [119]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,difference(eta(x3),quotient(difference(eta(x3),
% quotient(quotient(
% eta(x3),
% i(eta(x3))),
% quotient(difference(
% j(B),
% eta(x3)),
% eta(x3)))),quotient(
% difference(A,
% j(B)),
% j(B))))))
% Rule [117]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x3),quotient(difference(eta(x3),quotient(
% product(
% eta(x3),
% eta(x3)),
% quotient(
% difference(
% quotient(B,C),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(C,A),
% quotient(B,C)),quotient(B,C))))) is composed into 
% [117]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x3),quotient(difference(eta(x3),quotient(
% quotient(
% eta(x3),i(
% eta(x3))),
% quotient(
% difference(
% quotient(B,C),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(C,A),quotient(B,C)),
% quotient(B,C)))))
% Rule [115]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x3),quotient(difference(eta(x3),
% quotient(product(
% eta(x3),
% eta(x3)),
% quotient(difference(
% difference(C,B),
% eta(x3)),
% eta(x3)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B)))))) is composed into 
% [115]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x3),quotient(difference(eta(x3),
% quotient(quotient(
% eta(x3),i(
% eta(x3))),
% quotient(difference(
% difference(C,B),
% eta(x3)),
% eta(x3)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B))))))
% Rule [113]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),difference(eta(x3),quotient(difference(eta(x3),
% quotient(product(eta(x3),
% eta(x3)),
% quotient(difference(
% i(B),eta(x3)),
% eta(x3)))),quotient(
% difference(
% product(B,A),
% i(B)),i(B))))) is composed into 
% [113]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),difference(eta(x3),quotient(difference(eta(x3),quotient(
% quotient(
% eta(x3),
% i(eta(x3))),
% quotient(
% difference(
% i(B),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(B,A),i(B)),
% i(B)))))
% Rule [107]
% a(A,B,C) ->
% difference(product(A,product(B,C)),difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% product(A,B)),
% product(A,B))))) is composed into 
% [107]
% a(A,B,C) ->
% difference(product(A,product(B,C)),difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% product(A,B)),
% product(A,B)))))
% Rule [101]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B)) is composed into [101]
% quotient(product(A,
% product(B,
% i(A))),
% i(A)) ->
% difference(i(A),
% quotient(eta(A),
% i(B)))
% Rule [94]
% product(A,quotient(product(B,product(C,A)),A)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B)))) is composed into 
% [94]
% product(A,quotient(product(B,product(C,A)),A)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B))))
% Rule [68]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),
% product(A,A))))) is composed into 
% [68]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))))
% Rule [20]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),
% product(A,B))))) is composed into 
% [20]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% New rule produced : [345] product(eta(A),B) -> quotient(eta(A),i(B))
% Rule
% [100]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A)) collapsed.
% Rule [175] product(eta(A),B) <-> t(eta(A),product(B,eta(A))) collapsed.
% Rule [261] quotient(product(eta(A),B),difference(C,B)) <-> product(eta(A),C)
% collapsed.
% Rule [262] product(eta(A),C) <-> quotient(product(eta(A),B),difference(C,B))
% collapsed.
% Rule
% [265]
% quotient(quotient(product(eta(A),B),difference(eta(B),B)),j(B)) ->
% product(eta(A),B) collapsed.
% Rule
% [269]
% quotient(product(eta(A),B),difference(j(B),B)) ->
% difference(A,j(quotient(B,A))) collapsed.
% Rule
% [270]
% quotient(quotient(product(eta(A),B),difference(quotient(j(B),B),B)),i(B)) ->
% difference(A,j(quotient(B,A))) collapsed.
% Rule [281] difference(product(B,eta(C)),product(B,product(eta(C),A))) -> A
% collapsed.
% Rule
% [285]
% quotient(quotient(product(eta(A),B),quotient(difference(C,B),B)),C) ->
% product(eta(A),B) collapsed.
% Rule
% [291]
% quotient(quotient(product(eta(A),B),difference(quotient(i(i(B)),quotient(
% difference(C,B),B)),B)),C)
% -> quotient(product(eta(A),B),difference(i(i(B)),B)) collapsed.
% Rule
% [295] quotient(product(A,product(eta(B),C)),eta(B)) -> product(A,t(eta(B),C))
% collapsed.
% Rule
% [302]
% difference(i(A),quotient(product(eta(A),B),i(A))) ->
% quotient(product(A,B),i(A)) collapsed.
% Rule
% [307]
% quotient(product(eta(A),B),difference(t(eta(A),B),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(t(eta(A),
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),B),t(eta(A),eta(A))),t(
% eta(A),
% eta(A)))))
% collapsed.
% Rule
% [311]
% quotient(quotient(product(eta(A),B),quotient(difference(product(eta(B),C),B),B)),C)
% -> difference(A,j(quotient(j(B),A))) collapsed.
% Rule
% [312]
% quotient(product(eta(A),B),difference(product(eta(B),C),B)) <->
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x3,
% eta(B))),
% difference(product(C,V_3),x3)),B)),V_3)
% collapsed.
% Rule
% [313]
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x3,
% eta(B))),
% difference(product(C,V_3),x3)),B)),V_3)
% <-> quotient(product(eta(A),B),difference(product(eta(B),C),B)) collapsed.
% Rule
% [314]
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B)))
% <-> product(B,C) collapsed.
% Rule
% [319]
% product(A,product(eta(A),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A))))) collapsed.
% Rule
% [320]
% quotient(product(eta(A),B),difference(product(A,B),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) collapsed.
% Rule
% [323]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,product(eta(A),B)),product(eta(A),B))))
% -> quotient(product(eta(A),B),quotient(difference(C,B),B)) collapsed.
% Current number of equations to process: 1341
% Current number of ordered equations: 1191
% Current number of rules: 147
% New rule produced :
% [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% quotient(
% difference(
% eta(A),x3),x3)),
% eta(A)),
% difference(eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% Current number of equations to process: 1338
% Current number of ordered equations: 1193
% Current number of rules: 148
% New rule produced :
% [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% quotient(
% difference(
% eta(A),x3),x3)),
% eta(A)),
% difference(eta(A),x3)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Current number of equations to process: 1338
% Current number of ordered equations: 1192
% Current number of rules: 149
% New rule produced :
% [348]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% quotient(
% difference(
% eta(A),x3),x3)),
% eta(A)),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 1338
% Current number of ordered equations: 1191
% Current number of rules: 150
% New rule produced : [349] t(eta(A),i(B)) -> i(t(eta(A),B))
% Current number of equations to process: 1344
% Current number of ordered equations: 1182
% Current number of rules: 151
% New rule produced : [350] quotient(quotient(A,i(A)),A) -> j(j(A))
% Current number of equations to process: 1345
% Current number of ordered equations: 1180
% Current number of rules: 152
% New rule produced : [351] difference(A,quotient(A,i(A))) -> i(i(A))
% Current number of equations to process: 1345
% Current number of ordered equations: 1179
% Current number of rules: 153
% New rule produced : [352] t(i(A),eta(A)) -> j(eta(A))
% Current number of equations to process: 1344
% Current number of ordered equations: 1179
% Current number of rules: 154
% New rule produced : [353] quotient(difference(eta(A),A),A) -> j(eta(A))
% Current number of equations to process: 1344
% Current number of ordered equations: 1178
% Current number of rules: 155
% New rule produced : [354] difference(i(A),i(B)) -> i(i(quotient(A,B)))
% Current number of equations to process: 1352
% Current number of ordered equations: 1168
% Current number of rules: 156
% Rule [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% quotient(
% difference(
% eta(A),x3),x3)),
% eta(A)),
% difference(
% eta(A),x3)),
% quotient(difference(
% j(j(A)),eta(A)),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into 
% [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x3)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% quotient(
% difference(
% eta(A),x3),x3)),
% eta(A)),
% difference(
% eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) is composed into 
% [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% New rule produced : [355] quotient(difference(eta(A),B),B) -> j(eta(A))
% Rule
% [348]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% quotient(
% difference(
% eta(A),x3),x3)),
% eta(A)),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule [353] quotient(difference(eta(A),A),A) -> j(eta(A)) collapsed.
% Current number of equations to process: 1404
% Current number of ordered equations: 1115
% Current number of rules: 155
% New rule produced :
% [356]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 1403
% Current number of ordered equations: 1115
% Current number of rules: 156
% New rule produced : [357] difference(A,quotient(A,eta(B))) -> j(eta(B))
% Current number of equations to process: 1405
% Current number of ordered equations: 1112
% Current number of rules: 157
% New rule produced : [358] i(i(quotient(A,i(A)))) -> quotient(A,i(A))
% Current number of equations to process: 1404
% Current number of ordered equations: 1112
% Current number of rules: 158
% New rule produced : [359] difference(j(A),A) -> quotient(j(j(A)),j(A))
% Current number of equations to process: 1406
% Current number of ordered equations: 1109
% Current number of rules: 159
% New rule produced :
% [360] difference(eta(A),A) -> quotient(quotient(j(j(A)),j(A)),A)
% The conjecture has been reduced. 
% Conjecture is now:
% difference(eta(x3),quotient(quotient(i(i(x3)),difference(x0,x3)),quotient(
% difference(
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% difference(x1,x3)),
% quotient(
% difference(
% difference(
% eta(x3),
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% quotient(
% quotient(
% j(j(x3)),
% j(x3)),x3)),
% quotient(
% difference(
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2)))),
% eta(x3)),
% eta(x3)))),
% quotient(
% difference(x0,
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2))))),
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2))))))),x1),x1))),x0),x0),x0))) = 
% difference(eta(x3),quotient(quotient(eta(x3),i(x0)),quotient(difference(
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x1)),quotient(
% difference(
% difference(
% difference(
% eta(x3),
% quotient(
% i(
% i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2)))),x1),x1))),x0),x0)))
% 
% Current number of equations to process: 1586
% Current number of ordered equations: 928
% Current number of rules: 160
% New rule produced : [361] j(difference(A,j(eta(B)))) -> quotient(eta(B),i(A))
% Current number of equations to process: 1585
% Current number of ordered equations: 928
% Current number of rules: 161
% New rule produced : [362] quotient(i(i(A)),eta(A)) -> t(eta(A),A)
% Current number of equations to process: 1585
% Current number of ordered equations: 925
% Current number of rules: 162
% New rule produced : [363] quotient(difference(j(eta(A)),B),B) -> eta(A)
% Current number of equations to process: 1587
% Current number of ordered equations: 922
% Current number of rules: 163
% Rule [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),x3)),
% quotient(difference(
% j(j(A)),eta(A)),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into 
% [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) is composed into 
% [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% New rule produced : [364] quotient(quotient(A,j(eta(B))),eta(B)) -> A
% Rule
% [356]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Current number of equations to process: 1587
% Current number of ordered equations: 922
% Current number of rules: 163
% New rule produced :
% [365]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 1586
% Current number of ordered equations: 922
% Current number of rules: 164
% Rule [107]
% a(A,B,C) ->
% difference(product(A,product(B,C)),difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(
% eta(A))),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% product(A,B)),
% product(A,B))))) is composed into 
% [107]
% a(A,B,C) ->
% difference(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% Rule [61] c(B,A) -> difference(product(A,B),product(B,A)) is composed into 
% [61]
% c(B,A) ->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(B,quotient(
% difference(A,B),B)))
% New rule produced :
% [366] product(A,B) -> quotient(A,quotient(difference(B,A),A))
% Rule [1] product(A,one) -> A collapsed.
% Rule [2] product(one,A) -> A collapsed.
% Rule [6] quotient(product(A,B),B) -> A collapsed.
% Rule [7] difference(A,product(A,B)) -> B collapsed.
% Rule [8] product(A,difference(A,B)) -> B collapsed.
% Rule [10] product(A,j(A)) -> eta(A) collapsed.
% Rule [11] quotient(product(A,B),A) -> t(A,B) collapsed.
% Rule
% [20]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% collapsed.
% Rule
% [24]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C))) collapsed.
% Rule
% [25]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A) collapsed.
% Rule [34] product(A,i(A)) -> one collapsed.
% Rule [47] product(A,eta(A)) -> j(j(A)) collapsed.
% Rule [59] i(product(B,A)) -> quotient(i(A),i(i(B))) collapsed.
% Rule
% [68]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))))
% collapsed.
% Rule [75] quotient(product(A,i(i(B))),B) -> product(A,eta(B)) collapsed.
% Rule [83] quotient(product(A,product(B,eta(C))),eta(C)) -> product(A,B)
% collapsed.
% Rule
% [94]
% product(A,quotient(product(B,product(C,A)),A)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B))))
% collapsed.
% Rule
% [101]
% quotient(product(A,product(B,i(A))),i(A)) ->
% difference(i(A),quotient(eta(A),i(B))) collapsed.
% Rule
% [103]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B) collapsed.
% Rule [104] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% collapsed.
% Rule [105] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% collapsed.
% Rule
% [108]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A) collapsed.
% Rule
% [109]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C)) collapsed.
% Rule
% [111]
% quotient(product(A,product(B,product(C,eta(B)))),eta(B)) ->
% product(A,product(B,C)) collapsed.
% Rule
% [113]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),difference(eta(x3),quotient(difference(eta(x3),quotient(
% quotient(
% eta(x3),
% i(eta(x3))),
% quotient(
% difference(
% i(B),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(B,A),i(B)),
% i(B))))) collapsed.
% Rule
% [115]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x3),quotient(difference(eta(x3),
% quotient(quotient(
% eta(x3),i(
% eta(x3))),
% quotient(difference(
% difference(C,B),
% eta(x3)),
% eta(x3)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B))))))
% collapsed.
% Rule
% [117]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x3),quotient(difference(eta(x3),quotient(
% quotient(
% eta(x3),i(
% eta(x3))),
% quotient(
% difference(
% quotient(B,C),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(C,A),quotient(B,C)),
% quotient(B,C))))) collapsed.
% Rule
% [119]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,difference(eta(x3),quotient(difference(eta(x3),
% quotient(quotient(
% eta(x3),
% i(eta(x3))),
% quotient(difference(
% j(B),
% eta(x3)),
% eta(x3)))),quotient(
% difference(A,
% j(B)),
% j(B))))))
% collapsed.
% Rule
% [136]
% difference(quotient(A,B),product(A,C)) <->
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B)) collapsed.
% Rule
% [137]
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B)) <->
% difference(quotient(A,B),product(A,C)) collapsed.
% Rule
% [148]
% quotient(t(eta(A),product(B,C)),t(eta(A),B)) -> t(t(eta(A),B),t(eta(A),C))
% collapsed.
% Rule
% [149]
% difference(product(C,B),product(C,product(B,quotient(A,product(C,B))))) ->
% quotient(quotient(A,B),C) collapsed.
% Rule
% [150]
% quotient(quotient(product(B,product(A,i(B))),i(B)),A) ->
% difference(product(A,i(B)),product(A,eta(B))) collapsed.
% Rule
% [164]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(quotient(eta(A),i(B)),difference(difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(
% eta(A))),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),B)))
% collapsed.
% Rule
% [166]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% collapsed.
% Rule
% [167]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(quotient(eta(A),i(B)),difference(product(A,
% product(B,C)),B)),C),B)
% collapsed.
% Rule
% [169]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(quotient(eta(A),i(B)),difference(
% product(B,C),B))),C),B)
% collapsed.
% Rule
% [171]
% quotient(quotient(product(C,product(A,quotient(B,C))),quotient(B,C)),A) ->
% difference(product(A,quotient(B,C)),product(A,B)) collapsed.
% Rule
% [172]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) ->
% quotient(quotient(difference(eta(x3),quotient(difference(eta(x3),quotient(
% quotient(
% eta(x3),
% i(eta(x3))),
% quotient(
% difference(
% i(B),
% eta(x3)),
% eta(x3)))),
% quotient(difference(product(A,j(B)),
% i(B)),i(B)))),j(B)),A)
% collapsed.
% Rule [174] t(eta(A),product(B,eta(A))) -> quotient(eta(A),i(B)) collapsed.
% Rule [188] product(A,i(i(A))) -> quotient(j(j(A)),j(A)) collapsed.
% Rule [190] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% collapsed.
% Rule [191] difference(t(A,B),product(A,B)) -> A collapsed.
% Rule [195] quotient(product(A,j(j(B))),eta(B)) -> product(A,B) collapsed.
% Rule [196] difference(product(A,B),product(A,j(j(B)))) -> eta(B) collapsed.
% Rule [200] quotient(product(A,B),t(A,B)) -> t(t(A,B),A) collapsed.
% Rule [205] difference(product(A,B),A) -> quotient(difference(B,A),A)
% collapsed.
% Rule
% [206]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),A)
% collapsed.
% Rule [232] eta(product(B,A)) -> eta(quotient(i(A),i(i(B)))) collapsed.
% Rule [233] j(product(B,A)) -> difference(eta(A),difference(A,j(B)))
% collapsed.
% Rule [243] quotient(product(A,B),difference(eta(A),B)) -> j(j(A)) collapsed.
% Rule
% [253]
% t(eta(A),product(B,product(C,eta(A)))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% t(eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(eta(A),i(C)),t(eta(A),B)),
% t(eta(A),B)))) collapsed.
% Rule
% [256]
% product(A,t(A,product(B,A))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A))))
% collapsed.
% Rule
% [266]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))),A)
% collapsed.
% Rule
% [272]
% quotient(t(eta(A),product(x3,eta(A))),difference(product(A,i(i(i(A)))),x3))
% -> one collapsed.
% Rule [274] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% collapsed.
% Rule [276] product(A,quotient(B,eta(C))) -> quotient(product(A,B),eta(C))
% collapsed.
% Rule [279] difference(product(A,eta(B)),product(A,i(i(B)))) -> B collapsed.
% Rule
% [282]
% quotient(product(A,i(i(B))),product(A,eta(B))) -> t(product(A,eta(B)),B)
% collapsed.
% Rule
% [287]
% difference(product(B,A),product(B,product(A,difference(eta(A),difference(A,
% j(B)))))) ->
% quotient(j(A),B) collapsed.
% Rule
% [289]
% t(A,quotient(t(eta(B),product(x3,eta(B))),difference(product(C,A),x3))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(
% eta(B),
% i(C)),
% product(A,A)),
% product(A,A)))))
% collapsed.
% Rule [292] product(A,j(eta(B))) -> quotient(A,eta(B)) collapsed.
% Rule [294] difference(product(A,B),product(A,product(B,eta(C)))) -> eta(C)
% collapsed.
% Rule
% [297]
% quotient(product(A,product(B,eta(C))),product(A,B)) -> t(product(A,B),eta(C))
% collapsed.
% Rule
% [305] product(B,quotient(i(i(B)),difference(difference(j(j(B)),A),B))) -> A
% collapsed.
% Rule
% [315]
% product(B,C) <->
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% collapsed.
% Rule
% [316]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A) collapsed.
% Rule
% [318]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% collapsed.
% Rule
% [321]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% collapsed.
% Rule
% [322]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% <-> quotient(product(B,product(C,A)),A) collapsed.
% Rule
% [324]
% t(eta(A),product(B,C)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% collapsed.
% Rule
% [325]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% <-> t(eta(A),product(B,C)) collapsed.
% Rule
% [326]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% collapsed.
% Rule
% [327]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x3,
% eta(A))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% Rule
% [332]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x3,
% eta(A))),
% difference(eta(A),x3)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),A)) ->
% quotient(j(A),A) collapsed.
% Rule [345] product(eta(A),B) -> quotient(eta(A),i(B)) collapsed.
% Current number of equations to process: 1691
% Current number of ordered equations: 77
% Current number of rules: 89
% New rule produced :
% [367] quotient(A,quotient(quotient(j(j(A)),j(A)),A)) -> eta(A)
% Current number of equations to process: 1678
% Current number of ordered equations: 92
% Current number of rules: 90
% New rule produced :
% [368] quotient(A,quotient(difference(difference(A,B),A),A)) -> B
% Current number of equations to process: 1678
% Current number of ordered equations: 91
% Current number of rules: 91
% New rule produced :
% [369] difference(A,quotient(A,quotient(difference(B,A),A))) -> B
% Current number of equations to process: 1678
% Current number of ordered equations: 90
% Current number of rules: 92
% New rule produced :
% [370] quotient(quotient(A,quotient(difference(B,A),A)),B) -> A
% Current number of equations to process: 1678
% Current number of ordered equations: 89
% Current number of rules: 93
% New rule produced :
% [371] quotient(quotient(A,quotient(difference(B,A),A)),A) -> t(A,B)
% Current number of equations to process: 1678
% Current number of ordered equations: 88
% Current number of rules: 94
% New rule produced :
% [372]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A)))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% Current number of equations to process: 1678
% Current number of ordered equations: 87
% Current number of rules: 95
% New rule produced :
% [373]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),A)) ->
% quotient(j(A),A)
% Current number of equations to process: 1678
% Current number of ordered equations: 86
% Current number of rules: 96
% New rule produced :
% [374]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A)
% Current number of equations to process: 1678
% Current number of ordered equations: 85
% Current number of rules: 97
% New rule produced :
% [375]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% Current number of equations to process: 1678
% Current number of ordered equations: 84
% Current number of rules: 98
% New rule produced :
% [376]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 1678
% Current number of ordered equations: 83
% Current number of rules: 99
% New rule produced :
% [377]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% Current number of equations to process: 746
% Current number of ordered equations: 1351
% Current number of rules: 100
% New rule produced :
% [378]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% Current number of equations to process: 760
% Current number of ordered equations: 1336
% Current number of rules: 101
% New rule produced :
% [379]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% Current number of equations to process: 603
% Current number of ordered equations: 1550
% Current number of rules: 102
% New rule produced :
% [380]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% Current number of equations to process: 603
% Current number of ordered equations: 1549
% Current number of rules: 103
% New rule produced :
% [381]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2140
% Current number of rules: 104
% New rule produced :
% [382]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2139
% Current number of rules: 105
% New rule produced : [383] quotient(A,eta(A)) -> i(i(A))
% Rule
% [374]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A) collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 2097
% Current number of rules: 105
% New rule produced :
% [384]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% i(i(A)))),quotient(difference(A,
% i(A)),
% i(A)))) -> eta(A)
% Current number of equations to process: 41
% Current number of ordered equations: 2097
% Current number of rules: 106
% New rule produced : [385] eta(quotient(A,i(A))) -> one
% Current number of equations to process: 44
% Current number of ordered equations: 2090
% Current number of rules: 107
% New rule produced : [386] difference(i(i(A)),A) -> eta(A)
% Current number of equations to process: 64
% Current number of ordered equations: 2068
% Current number of rules: 108
% New rule produced : [387] quotient(A,j(j(A))) -> eta(A)
% Current number of equations to process: 66
% Current number of ordered equations: 2064
% Current number of rules: 109
% New rule produced : [388] difference(A,i(A)) -> quotient(j(A),A)
% Rule
% [384]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% i(i(A)))),quotient(difference(A,
% i(A)),
% i(A)))) -> eta(A)
% collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 2052
% Current number of rules: 109
% New rule produced :
% [389]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% i(i(A)))),j(A))) -> eta(A)
% Current number of equations to process: 76
% Current number of ordered equations: 2052
% Current number of rules: 110
% New rule produced : [390] difference(j(A),eta(A)) -> j(j(A))
% Rule
% [373]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),A)) ->
% quotient(j(A),A) collapsed.
% Current number of equations to process: 82
% Current number of ordered equations: 2037
% Current number of rules: 110
% New rule produced :
% [391]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),A)),A))
% -> quotient(j(A),A)
% Current number of equations to process: 81
% Current number of ordered equations: 2037
% Current number of rules: 111
% New rule produced : [392] difference(A,difference(i(A),A)) -> A
% Current number of equations to process: 81
% Current number of ordered equations: 2035
% Current number of rules: 112
% New rule produced : [393] difference(A,i(i(A))) -> j(eta(A))
% Current number of equations to process: 83
% Current number of ordered equations: 2032
% Current number of rules: 113
% New rule produced : [394] t(j(A),eta(A)) -> j(eta(A))
% Current number of equations to process: 85
% Current number of ordered equations: 2028
% Current number of rules: 114
% New rule produced : [395] t(A,i(i(A))) -> j(j(A))
% Current number of equations to process: 89
% Current number of ordered equations: 2022
% Current number of rules: 115
% New rule produced : [396] difference(A,quotient(A,j(A))) -> A
% Current number of equations to process: 90
% Current number of ordered equations: 2016
% Current number of rules: 116
% New rule produced : [397] quotient(quotient(A,j(A)),A) -> A
% Current number of equations to process: 90
% Current number of ordered equations: 2014
% Current number of rules: 117
% New rule produced : [398] quotient(eta(A),j(j(A))) -> j(A)
% Current number of equations to process: 97
% Current number of ordered equations: 2004
% Current number of rules: 118
% New rule produced : [399] difference(j(eta(A)),j(A)) -> i(A)
% Current number of equations to process: 97
% Current number of ordered equations: 2000
% Current number of rules: 119
% Rule [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(
% eta(A),x3)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) is composed into 
% [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% i(i(i(A))))),quotient(difference(B,
% i(
% i(A))),
% i(i(A)))))
% New rule produced : [400] quotient(i(A),eta(A)) -> i(i(i(A)))
% Current number of equations to process: 187
% Current number of ordered equations: 1906
% Current number of rules: 120
% New rule produced : [401] t(j(A),j(eta(A))) -> eta(A)
% Current number of equations to process: 187
% Current number of ordered equations: 1901
% Current number of rules: 121
% Rule [362] quotient(i(i(A)),eta(A)) -> t(eta(A),A) is composed into [362]
% quotient(
% i(
% i(A)),
% eta(A))
% ->
% i(
% i(
% i(i(A))))
% New rule produced : [402] t(eta(A),A) -> i(i(i(i(A))))
% Current number of equations to process: 196
% Current number of ordered equations: 1888
% Current number of rules: 122
% New rule produced : [403] quotient(i(A),A) -> i(quotient(A,i(A)))
% Rule [215] quotient(i(i(A)),i(A)) -> i(quotient(j(A),A)) collapsed.
% Current number of equations to process: 201
% Current number of ordered equations: 1871
% Current number of rules: 122
% Rule [64] quotient(quotient(j(A),A),j(A)) -> t(j(A),i(A)) is composed into 
% [64] quotient(quotient(j(A),A),j(A)) -> j(j(j(A)))
% New rule produced : [404] t(j(A),i(A)) -> j(j(j(A)))
% Rule [244] difference(t(j(A),i(A)),quotient(j(A),A)) -> j(A) collapsed.
% Rule [288] quotient(quotient(j(A),A),t(j(A),i(A))) -> t(t(j(A),i(A)),j(A))
% collapsed.
% Current number of equations to process: 208
% Current number of ordered equations: 1845
% Current number of rules: 121
% New rule produced : [405] quotient(i(i(A)),j(eta(A))) -> A
% Current number of equations to process: 209
% Current number of ordered equations: 1842
% Current number of rules: 122
% New rule produced : [406] t(i(i(A)),eta(A)) -> j(eta(A))
% Current number of equations to process: 209
% Current number of ordered equations: 1841
% Current number of rules: 123
% Rule [403] quotient(i(A),A) -> i(quotient(A,i(A))) is composed into [403]
% quotient(
% i(A),A)
% ->
% j(
% quotient(A,
% i(A)))
% New rule produced : [407] i(quotient(A,i(A))) -> j(quotient(A,i(A)))
% Rule [358] i(i(quotient(A,i(A)))) -> quotient(A,i(A)) collapsed.
% Current number of equations to process: 211
% Current number of ordered equations: 1819
% Current number of rules: 123
% New rule produced : [408] t(eta(A),j(j(j(A)))) -> i(A)
% Current number of equations to process: 211
% Current number of ordered equations: 1817
% Current number of rules: 124
% New rule produced : [409] quotient(j(j(j(A))),eta(A)) -> j(A)
% Current number of equations to process: 211
% Current number of ordered equations: 1816
% Current number of rules: 125
% New rule produced : [410] quotient(j(A),j(eta(A))) -> j(j(j(A)))
% Current number of equations to process: 213
% Current number of ordered equations: 1813
% Current number of rules: 126
% New rule produced : [411] quotient(difference(A,j(A)),j(A)) -> j(A)
% Current number of equations to process: 221
% Current number of ordered equations: 1803
% Current number of rules: 127
% New rule produced : [412] difference(j(eta(A)),i(A)) -> i(i(i(A)))
% Current number of equations to process: 221
% Current number of ordered equations: 1802
% Current number of rules: 128
% New rule produced : [413] difference(eta(A),i(i(i(A)))) -> i(A)
% Current number of equations to process: 221
% Current number of ordered equations: 1801
% Current number of rules: 129
% New rule produced : [414] quotient(j(eta(A)),i(i(A))) -> j(A)
% Current number of equations to process: 221
% Current number of ordered equations: 1800
% Current number of rules: 130
% New rule produced : [415] i(t(eta(A),j(B))) -> t(eta(A),B)
% Current number of equations to process: 221
% Current number of ordered equations: 1799
% Current number of rules: 131
% Rule [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(
% eta(A),x3)),
% i(i(i(A))))),quotient(
% difference(B,
% i(i(A))),
% i(i(A))))) is composed into 
% [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% i(i(i(A))))),quotient(i(
% i(
% quotient(
% j(B),
% i(A)))),
% i(i(A)))))
% New rule produced : [416] difference(A,i(B)) -> i(i(quotient(j(A),B)))
% Rule [334] difference(eta(A),i(A)) -> j(A) collapsed.
% Rule [337] difference(eta(A),i(i(A))) -> A collapsed.
% Rule [339] difference(j(A),i(A)) -> j(eta(A)) collapsed.
% Rule [354] difference(i(A),i(B)) -> i(i(quotient(A,B))) collapsed.
% Rule [388] difference(A,i(A)) -> quotient(j(A),A) collapsed.
% Rule [393] difference(A,i(i(A))) -> j(eta(A)) collapsed.
% Rule [412] difference(j(eta(A)),i(A)) -> i(i(i(A))) collapsed.
% Rule [413] difference(eta(A),i(i(i(A)))) -> i(A) collapsed.
% Current number of equations to process: 358
% Current number of ordered equations: 1639
% Current number of rules: 124
% New rule produced : [417] i(i(quotient(j(eta(A)),A))) -> j(A)
% Current number of equations to process: 357
% Current number of ordered equations: 1639
% Current number of rules: 125
% New rule produced : [418] i(i(quotient(j(A),A))) -> quotient(j(A),A)
% Current number of equations to process: 356
% Current number of ordered equations: 1639
% Current number of rules: 126
% New rule produced : [419] difference(A,quotient(A,j(eta(B)))) -> eta(B)
% Current number of equations to process: 356
% Current number of ordered equations: 1636
% Current number of rules: 127
% New rule produced : [420] quotient(quotient(A,i(A)),i(i(A))) -> A
% Current number of equations to process: 356
% Current number of ordered equations: 1632
% Current number of rules: 128
% New rule produced : [421] difference(j(eta(A)),j(j(A))) -> A
% Current number of equations to process: 356
% Current number of ordered equations: 1629
% Current number of rules: 129
% New rule produced : [422] difference(i(i(i(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 356
% Current number of ordered equations: 1626
% Current number of rules: 130
% New rule produced : [423] t(j(eta(A)),i(i(A))) -> j(j(A))
% Current number of equations to process: 357
% Current number of ordered equations: 1621
% Current number of rules: 131
% New rule produced : [424] quotient(j(eta(A)),i(i(i(A)))) -> A
% Current number of equations to process: 357
% Current number of ordered equations: 1620
% Current number of rules: 132
% New rule produced : [425] i(i(quotient(j(eta(A)),i(A)))) -> A
% Current number of equations to process: 356
% Current number of ordered equations: 1620
% Current number of rules: 133
% Rule [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(
% eta(A),x3)),
% quotient(difference(
% j(j(A)),eta(A)),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into 
% [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% quotient(j(j(j(A))),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% New rule produced : [426] difference(j(j(A)),eta(A)) -> j(j(j(A)))
% Current number of equations to process: 407
% Current number of ordered equations: 1568
% Current number of rules: 134
% New rule produced : [427] i(difference(i(A),A)) -> quotient(i(A),i(i(A)))
% Current number of equations to process: 407
% Current number of ordered equations: 1567
% Current number of rules: 135
% New rule produced : [428] t(i(i(i(A))),eta(A)) -> j(eta(A))
% Current number of equations to process: 407
% Current number of ordered equations: 1566
% Current number of rules: 136
% New rule produced : [429] difference(eta(A),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 407
% Current number of ordered equations: 1565
% Current number of rules: 137
% New rule produced : [430] difference(j(j(A)),quotient(A,i(A))) -> A
% Current number of equations to process: 407
% Current number of ordered equations: 1564
% Current number of rules: 138
% New rule produced : [431] i(difference(eta(B),A)) -> quotient(i(A),j(eta(B)))
% Current number of equations to process: 419
% Current number of ordered equations: 1551
% Current number of rules: 139
% New rule produced : [432] difference(j(eta(A)),difference(eta(A),B)) -> B
% Current number of equations to process: 421
% Current number of ordered equations: 1548
% Current number of rules: 140
% New rule produced : [433] quotient(quotient(A,eta(B)),A) -> t(A,j(eta(B)))
% Current number of equations to process: 421
% Current number of ordered equations: 1546
% Current number of rules: 141
% New rule produced : [434] quotient(quotient(A,eta(B)),j(eta(B))) -> A
% Current number of equations to process: 429
% Current number of ordered equations: 1536
% Current number of rules: 142
% New rule produced : [435] difference(B,j(eta(A))) -> i(quotient(eta(A),i(B)))
% Rule [361] j(difference(A,j(eta(B)))) -> quotient(eta(B),i(A)) collapsed.
% Current number of equations to process: 496
% Current number of ordered equations: 1445
% Current number of rules: 142
% New rule produced : [436] i(difference(j(eta(B)),A)) -> quotient(i(A),eta(B))
% Current number of equations to process: 496
% Current number of ordered equations: 1444
% Current number of rules: 143
% New rule produced : [437] difference(eta(A),difference(j(eta(A)),B)) -> B
% Current number of equations to process: 496
% Current number of ordered equations: 1443
% Current number of rules: 144
% New rule produced :
% [438] quotient(difference(difference(B,A),B),B) -> difference(A,B)
% Rule [368] quotient(A,quotient(difference(difference(A,B),A),A)) -> B
% collapsed.
% Rule
% [381]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% Rule
% [382]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% collapsed.
% Current number of equations to process: 645
% Current number of ordered equations: 1265
% Current number of rules: 142
% New rule produced :
% [439]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2658
% Current number of rules: 143
% New rule produced :
% [440]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2657
% Current number of rules: 144
% New rule produced : [441] eta(quotient(j(A),A)) -> one
% Current number of equations to process: 13
% Current number of ordered equations: 2641
% Current number of rules: 145
% New rule produced : [442] eta(difference(i(A),A)) -> one
% Current number of equations to process: 33
% Current number of ordered equations: 2611
% Current number of rules: 146
% New rule produced : [443] t(A,j(eta(A))) -> eta(A)
% Current number of equations to process: 33
% Current number of ordered equations: 2605
% Current number of rules: 147
% New rule produced : [444] j(quotient(j(A),A)) -> quotient(A,j(A))
% Current number of equations to process: 41
% Current number of ordered equations: 2596
% Current number of rules: 148
% New rule produced : [445] eta(quotient(j(eta(A)),A)) -> eta(A)
% Current number of equations to process: 54
% Current number of ordered equations: 2576
% Current number of rules: 149
% New rule produced : [446] i(difference(A,j(A))) -> quotient(A,i(A))
% Current number of equations to process: 54
% Current number of ordered equations: 2575
% Current number of rules: 150
% New rule produced : [447] t(i(A),j(eta(A))) -> eta(A)
% Current number of equations to process: 54
% Current number of ordered equations: 2574
% Current number of rules: 151
% New rule produced : [448] difference(difference(i(A),A),A) -> j(A)
% Current number of equations to process: 55
% Current number of ordered equations: 2572
% Current number of rules: 152
% New rule produced : [449] eta(quotient(eta(A),j(eta(A)))) -> one
% Current number of equations to process: 55
% Current number of ordered equations: 2571
% Current number of rules: 153
% New rule produced : [450] t(j(j(A)),eta(A)) -> j(eta(A))
% Current number of equations to process: 55
% Current number of ordered equations: 2570
% Current number of rules: 154
% New rule produced : [451] t(j(j(A)),A) -> j(j(j(j(A))))
% Current number of equations to process: 64
% Current number of ordered equations: 2560
% Current number of rules: 155
% New rule produced : [452] i(quotient(j(A),A)) -> quotient(A,j(A))
% Rule [418] i(i(quotient(j(A),A))) -> quotient(j(A),A) collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 2531
% Current number of rules: 155
% Rule [391]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),A)),A))
% -> quotient(j(A),A) is composed into [391]
% difference(eta(A),quotient(
% difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),A)),A))
% -> i(quotient(A,j(A)))
% Rule [360] difference(eta(A),A) -> quotient(quotient(j(j(A)),j(A)),A) is composed into 
% [360] difference(eta(A),A) -> quotient(i(quotient(j(A),j(j(A)))),A)
% Rule [359] difference(j(A),A) -> quotient(j(j(A)),j(A)) is composed into 
% [359] difference(j(A),A) -> i(quotient(j(A),j(j(A))))
% Rule [234]
% difference(i(A),j(j(A))) ->
% difference(A,j(quotient(quotient(j(A),A),A))) is composed into [234]
% difference(
% i(A),
% j(
% j(A))) ->
% difference(A,
% j(
% quotient(
% i(
% quotient(A,
% j(A))),A)))
% New rule produced : [453] quotient(j(A),A) -> i(quotient(A,j(A)))
% Rule [56] quotient(quotient(j(A),A),i(A)) -> j(A) collapsed.
% Rule [57] difference(j(A),quotient(j(A),A)) -> i(A) collapsed.
% Rule [64] quotient(quotient(j(A),A),j(A)) -> j(j(j(A))) collapsed.
% Rule [367] quotient(A,quotient(quotient(j(j(A)),j(A)),A)) -> eta(A)
% collapsed.
% Rule
% [439]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% collapsed.
% Rule
% [440]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% Rule [441] eta(quotient(j(A),A)) -> one collapsed.
% Rule [444] j(quotient(j(A),A)) -> quotient(A,j(A)) collapsed.
% Rule [452] i(quotient(j(A),A)) -> quotient(A,j(A)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% difference(eta(x3),quotient(quotient(i(i(x3)),difference(x0,x3)),quotient(
% difference(
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% difference(x1,x3)),
% quotient(
% difference(
% difference(
% eta(x3),
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% quotient(
% i(quotient(
% j(x3),
% j(
% j(x3)))),x3)),
% quotient(
% difference(
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2)))),
% eta(x3)),
% eta(x3)))),
% quotient(
% difference(x0,
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2))))),
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2))))))),x1),x1))),x0),x0),x0))) = 
% difference(eta(x3),quotient(quotient(eta(x3),i(x0)),quotient(difference(
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x1)),quotient(
% difference(
% difference(
% difference(
% eta(x3),
% quotient(
% i(
% i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2)))),x1),x1))),x0),x0)))
% 
% Current number of equations to process: 535
% Current number of ordered equations: 2051
% Current number of rules: 147
% New rule produced :
% [454] quotient(A,quotient(i(quotient(j(A),j(j(A)))),A)) -> eta(A)
% Current number of equations to process: 533
% Current number of ordered equations: 2053
% Current number of rules: 148
% New rule produced :
% [455]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2784
% Current number of rules: 149
% New rule produced :
% [456]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2783
% Current number of rules: 150
% New rule produced : [457] eta(difference(A,j(A))) -> one
% Current number of equations to process: 25
% Current number of ordered equations: 2754
% Current number of rules: 151
% New rule produced : [458] difference(i(A),A) -> quotient(A,j(A))
% Rule [335] quotient(difference(i(A),A),A) -> A collapsed.
% Rule [392] difference(A,difference(i(A),A)) -> A collapsed.
% Rule [427] i(difference(i(A),A)) -> quotient(i(A),i(i(A))) collapsed.
% Rule [442] eta(difference(i(A),A)) -> one collapsed.
% Rule [448] difference(difference(i(A),A),A) -> j(A) collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 2593
% Current number of rules: 147
% New rule produced : [459] eta(quotient(A,j(A))) -> one
% Rule [449] eta(quotient(eta(A),j(eta(A)))) -> one collapsed.
% Current number of equations to process: 54
% Current number of ordered equations: 2557
% Current number of rules: 147
% New rule produced : [460] difference(A,j(A)) -> j(quotient(A,i(A)))
% Rule [411] quotient(difference(A,j(A)),j(A)) -> j(A) collapsed.
% Rule [446] i(difference(A,j(A))) -> quotient(A,i(A)) collapsed.
% Rule [457] eta(difference(A,j(A))) -> one collapsed.
% Current number of equations to process: 58
% Current number of ordered equations: 2515
% Current number of rules: 145
% New rule produced : [461] quotient(j(eta(A)),i(A)) -> j(j(A))
% Rule [425] i(i(quotient(j(eta(A)),i(A)))) -> A collapsed.
% Current number of equations to process: 59
% Current number of ordered equations: 2460
% Current number of rules: 145
% New rule produced : [462] t(eta(A),j(B)) -> j(t(eta(A),B))
% Rule [176] t(eta(A),j(j(A))) -> i(i(A)) collapsed.
% Rule [340] t(eta(A),j(A)) -> i(i(i(A))) collapsed.
% Rule [408] t(eta(A),j(j(j(A)))) -> i(A) collapsed.
% Rule [415] i(t(eta(A),j(B))) -> t(eta(A),B) collapsed.
% Current number of equations to process: 65
% Current number of ordered equations: 2384
% Current number of rules: 142
% New rule produced : [463] i(quotient(j(eta(A)),A)) -> j(j(A))
% Rule [417] i(i(quotient(j(eta(A)),A))) -> j(A) collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 2334
% Current number of rules: 142
% New rule produced : [464] i(i(quotient(A,j(A)))) -> quotient(A,j(A))
% Rule
% [455]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))))))))))
% collapsed.
% Rule
% [456]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),
% i(quotient(A,j(A)))))))))
% collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 2324
% Current number of rules: 141
% New rule produced :
% [465]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A))))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2497
% Current number of rules: 142
% New rule produced :
% [466]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A))))))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2496
% Current number of rules: 143
% New rule produced : [467] quotient(j(eta(A)),A) -> j(j(j(A)))
% Rule [445] eta(quotient(j(eta(A)),A)) -> eta(A) collapsed.
% Rule [463] i(quotient(j(eta(A)),A)) -> j(j(A)) collapsed.
% Current number of equations to process: 23
% Current number of ordered equations: 2403
% Current number of rules: 142
% Rule [453] quotient(j(A),A) -> i(quotient(A,j(A))) is composed into [453]
% quotient(
% j(A),A)
% ->
% j(
% quotient(A,
% j(A)))
% Rule [391]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),A)),A))
% -> i(quotient(A,j(A))) is composed into [391]
% difference(eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),A)),A))
% -> j(quotient(A,j(A)))
% Rule [360] difference(eta(A),A) -> quotient(i(quotient(j(A),j(j(A)))),A) is composed into 
% [360] difference(eta(A),A) -> quotient(j(quotient(j(A),j(j(A)))),A)
% Rule [359] difference(j(A),A) -> i(quotient(j(A),j(j(A)))) is composed into 
% [359] difference(j(A),A) -> j(quotient(j(A),j(j(A))))
% Rule [234]
% difference(i(A),j(j(A))) ->
% difference(A,j(quotient(i(quotient(A,j(A))),A))) is composed into 
% [234]
% difference(i(A),j(j(A))) -> difference(A,j(quotient(j(quotient(A,j(A))),A)))
% New rule produced : [468] i(quotient(A,j(A))) -> j(quotient(A,j(A)))
% Rule [454] quotient(A,quotient(i(quotient(j(A),j(j(A)))),A)) -> eta(A)
% collapsed.
% Rule [464] i(i(quotient(A,j(A)))) -> quotient(A,j(A)) collapsed.
% Rule
% [465]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A))))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))))
% collapsed.
% Rule
% [466]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% i(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% i(quotient(A,j(A))))))))))))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% difference(eta(x3),quotient(quotient(i(i(x3)),difference(x0,x3)),quotient(
% difference(
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% difference(x1,x3)),
% quotient(
% difference(
% difference(
% eta(x3),
% quotient(
% difference(
% eta(x3),
% quotient(
% quotient(
% i(i(x3)),
% quotient(
% j(quotient(
% j(x3),
% j(
% j(x3)))),x3)),
% quotient(
% difference(
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2)))),
% eta(x3)),
% eta(x3)))),
% quotient(
% difference(x0,
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2))))),
% difference(
% difference(
% eta(x3),
% quotient(
% i(i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2))))))),x1),x1))),x0),x0),x0))) = 
% difference(eta(x3),quotient(quotient(eta(x3),i(x0)),quotient(difference(
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x1)),quotient(
% difference(
% difference(
% difference(
% eta(x3),
% quotient(
% i(
% i(x3)),
% quotient(
% difference(x2,x3),x3))),
% difference(
% eta(x3),
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% difference(x3,x2),x2)))),x1),x1))),x0),x0)))
% 
% Current number of equations to process: 501
% Current number of ordered equations: 1885
% Current number of rules: 139
% New rule produced :
% [469] quotient(A,quotient(j(quotient(j(A),j(j(A)))),A)) -> eta(A)
% Current number of equations to process: 499
% Current number of ordered equations: 1887
% Current number of rules: 140
% New rule produced :
% [470]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2414
% Current number of rules: 141
% New rule produced :
% [471]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))
% Current number of equations to process: 7
% Current number of ordered equations: 2413
% Current number of rules: 142
% New rule produced : [472] j(j(quotient(A,i(A)))) -> quotient(A,i(A))
% Current number of equations to process: 10
% Current number of ordered equations: 2383
% Current number of rules: 143
% New rule produced : [473] t(j(eta(A)),i(A)) -> j(j(j(A)))
% Current number of equations to process: 11
% Current number of ordered equations: 2377
% Current number of rules: 144
% New rule produced : [474] t(j(j(A)),j(eta(A))) -> eta(A)
% Current number of equations to process: 12
% Current number of ordered equations: 2370
% Current number of rules: 145
% New rule produced : [475] t(i(i(A)),j(eta(A))) -> eta(A)
% Current number of equations to process: 12
% Current number of ordered equations: 2368
% Current number of rules: 146
% New rule produced : [476] t(quotient(A,j(A)),j(A)) -> i(A)
% Current number of equations to process: 21
% Current number of ordered equations: 2355
% Current number of rules: 147
% New rule produced : [477] j(j(quotient(A,j(A)))) -> quotient(A,j(A))
% Current number of equations to process: 22
% Current number of ordered equations: 2333
% Current number of rules: 148
% New rule produced : [478] quotient(i(A),i(i(A))) -> j(quotient(A,j(A)))
% Current number of equations to process: 29
% Current number of ordered equations: 2319
% Current number of rules: 149
% New rule produced :
% [479] difference(A,quotient(A,quotient(B,A))) -> quotient(A,B)
% Rule [369] difference(A,quotient(A,quotient(difference(B,A),A))) -> B
% collapsed.
% Current number of equations to process: 29
% Current number of ordered equations: 2283
% Current number of rules: 149
% New rule produced : [480] quotient(eta(A),j(j(j(A)))) -> j(j(A))
% Current number of equations to process: 30
% Current number of ordered equations: 2279
% Current number of rules: 150
% Rule [366] product(A,B) -> quotient(A,quotient(difference(B,A),A)) is composed into 
% [366] product(A,B) -> quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))
% Rule [107]
% a(A,B,C) ->
% difference(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),
% quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))) is composed into 
% [107]
% a(A,B,C) ->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(quotient(B,quotient(
% i(i(quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))),j(i(i(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% i(i(quotient(
% j(C),
% j(quotient(A,
% quotient(
% i(i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,
% quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))))))))))))
% Rule [61]
% c(B,A) ->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(B,quotient(
% difference(A,B),B))) is composed into 
% [61]
% c(B,A) ->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),j(quotient(B,
% quotient(
% i(
% i(
% quotient(
% j(A),
% j(B)))),B))))))
% New rule produced : [481] difference(A,B) -> i(i(quotient(j(A),j(B))))
% Rule [4] difference(A,one) -> i(A) collapsed.
% Rule [31] difference(A,A) -> one collapsed.
% Rule [32] difference(one,A) -> A collapsed.
% Rule [39] difference(A,eta(A)) -> j(A) collapsed.
% Rule [40] difference(i(A),eta(A)) -> A collapsed.
% Rule [41] quotient(A,difference(B,A)) -> B collapsed.
% Rule [42] difference(quotient(A,B),A) -> B collapsed.
% Rule [50] t(B,difference(B,A)) -> quotient(A,B) collapsed.
% Rule [192] difference(A,j(j(A))) -> eta(A) collapsed.
% Rule [209] difference(t(quotient(A,B),B),A) -> quotient(A,B) collapsed.
% Rule [228] difference(i(i(A)),eta(A)) -> i(A) collapsed.
% Rule
% [234]
% difference(i(A),j(j(A))) -> difference(A,j(quotient(j(quotient(A,j(A))),A)))
% collapsed.
% Rule [273] difference(j(j(A)),A) -> j(eta(A)) collapsed.
% Rule
% [304] quotient(i(i(B)),quotient(difference(difference(i(i(B)),A),B),B)) -> A
% collapsed.
% Rule [331] difference(i(A),j(A)) -> eta(A) collapsed.
% Rule [336] difference(j(eta(A)),A) -> i(i(A)) collapsed.
% Rule [342] difference(eta(A),j(A)) -> j(j(j(A))) collapsed.
% Rule
% [346]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% i(i(i(A))))),quotient(i(
% i(
% quotient(
% j(B),
% i(A)))),
% i(i(A)))))
% collapsed.
% Rule
% [347]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% quotient(j(j(j(A))),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A))))) collapsed.
% Rule [351] difference(A,quotient(A,i(A))) -> i(i(A)) collapsed.
% Rule [355] quotient(difference(eta(A),B),B) -> j(eta(A)) collapsed.
% Rule [357] difference(A,quotient(A,eta(B))) -> j(eta(B)) collapsed.
% Rule [359] difference(j(A),A) -> j(quotient(j(A),j(j(A)))) collapsed.
% Rule [360] difference(eta(A),A) -> quotient(j(quotient(j(A),j(j(A)))),A)
% collapsed.
% Rule [363] quotient(difference(j(eta(A)),B),B) -> eta(A) collapsed.
% Rule
% [365]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x3)),
% difference(eta(A),x3)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule [370] quotient(quotient(A,quotient(difference(B,A),A)),B) -> A
% collapsed.
% Rule [371] quotient(quotient(A,quotient(difference(B,A),A)),A) -> t(A,B)
% collapsed.
% Rule
% [372]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A)))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% collapsed.
% Rule
% [375]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% collapsed.
% Rule
% [376]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [377]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% collapsed.
% Rule
% [378]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% collapsed.
% Rule
% [379]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% collapsed.
% Rule
% [380]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% difference(
% eta(A),x3)),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% collapsed.
% Rule [386] difference(i(i(A)),A) -> eta(A) collapsed.
% Rule
% [389]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% i(i(A)))),j(A))) -> eta(A)
% collapsed.
% Rule [390] difference(j(A),eta(A)) -> j(j(A)) collapsed.
% Rule
% [391]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),A)),A))
% -> j(quotient(A,j(A))) collapsed.
% Rule [396] difference(A,quotient(A,j(A))) -> A collapsed.
% Rule [399] difference(j(eta(A)),j(A)) -> i(A) collapsed.
% Rule [416] difference(A,i(B)) -> i(i(quotient(j(A),B))) collapsed.
% Rule [419] difference(A,quotient(A,j(eta(B)))) -> eta(B) collapsed.
% Rule [421] difference(j(eta(A)),j(j(A))) -> A collapsed.
% Rule [422] difference(i(i(i(A))),eta(A)) -> i(i(A)) collapsed.
% Rule [426] difference(j(j(A)),eta(A)) -> j(j(j(A))) collapsed.
% Rule [429] difference(eta(A),j(j(A))) -> j(j(j(j(A)))) collapsed.
% Rule [430] difference(j(j(A)),quotient(A,i(A))) -> A collapsed.
% Rule [431] i(difference(eta(B),A)) -> quotient(i(A),j(eta(B))) collapsed.
% Rule [432] difference(j(eta(A)),difference(eta(A),B)) -> B collapsed.
% Rule [435] difference(B,j(eta(A))) -> i(quotient(eta(A),i(B))) collapsed.
% Rule [436] i(difference(j(eta(B)),A)) -> quotient(i(A),eta(B)) collapsed.
% Rule [437] difference(eta(A),difference(j(eta(A)),B)) -> B collapsed.
% Rule [438] quotient(difference(difference(B,A),B),B) -> difference(A,B)
% collapsed.
% Rule [458] difference(i(A),A) -> quotient(A,j(A)) collapsed.
% Rule [460] difference(A,j(A)) -> j(quotient(A,i(A))) collapsed.
% Rule
% [470]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))))))))
% collapsed.
% Rule
% [471]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(eta(A),x3)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A))))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% difference(
% eta(A),x3)),
% quotient(
% difference(
% j(quotient(A,
% j(A))),
% eta(A)),
% eta(A)))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))
% collapsed.
% Rule [479] difference(A,quotient(A,quotient(B,A))) -> quotient(A,B)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% i(i(quotient(j(eta(x3)),j(quotient(quotient(i(i(x3)),i(i(quotient(j(x0),
% j(x3))))),quotient(
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% i(
% i(x3)),
% i(
% i(
% quotient(
% j(x1),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% i(
% i(x3)),
% quotient(
% j(
% quotient(
% j(x3),
% j(
% j(x3)))),x3)),
% quotient(
% i(
% i(
% quotient(
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% quotient(
% i(
% i(
% quotient(
% j(x2),
% j(x3)))),x3))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% i(
% i(
% quotient(
% j(x3),
% j(x2)))),x2))))))),
% j(
% eta(x3))))),
% eta(x3))))))),
% quotient(
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% quotient(
% i(
% i(
% quotient(
% j(x2),
% j(x3)))),x3))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% i(
% i(
% quotient(
% j(x3),
% j(x2)))),x2))))))),
% i(
% i(
% t(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% quotient(
% i(
% i(
% quotient(
% j(x2),
% j(x3)))),x3))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% i(
% i(
% quotient(
% j(x3),
% j(x2)))),x2)))))),
% i(
% quotient(
% j(x0),
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% quotient(
% i(
% i(
% quotient(
% j(x2),
% j(x3)))),x3))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% i(
% i(
% quotient(
% j(x3),
% j(x2)))),x2))))))))))))))))),
% j(x1)))),x1)))))),x0)),
% j(x0)))),x0)))))) = 
% i(i(quotient(j(eta(x3)),j(quotient(quotient(eta(x3),i(x0)),quotient(i(
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x1)),
% quotient(
% i(
% i(
% quotient(
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% quotient(
% i(
% i(
% quotient(
% j(x2),
% j(x3)))),x3))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% quotient(
% i(
% i(
% quotient(
% j(x3),
% j(x2)))),x2))))))),
% j(x1)))),x1))))),
% j(x0)))),x0))))))
% 
% Current number of equations to process: 1361
% Current number of ordered equations: 158
% Current number of rules: 92
% New rule produced :
% [482] quotient(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A)),B) -> A
% Current number of equations to process: 1348
% Current number of ordered equations: 176
% Current number of rules: 93
% New rule produced :
% [483] quotient(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A)),A) -> t(A,B)
% Current number of equations to process: 1348
% Current number of ordered equations: 175
% Current number of rules: 94
% New rule produced :
% [484]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),A))))),A)))))
% -> j(quotient(A,j(A)))
% Current number of equations to process: 1348
% Current number of ordered equations: 174
% Current number of rules: 95
% New rule produced :
% [485]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(A))))))),
% j(A)))))) -> eta(A)
% Current number of equations to process: 1348
% Current number of ordered equations: 173
% Current number of rules: 96
% New rule produced :
% [486]
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),j(quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(B,
% quotient(
% i(
% i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))))))
% <->
% quotient(quotient(quotient(C,quotient(i(i(quotient(j(quotient(A,quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))),
% j(C)))),C)),B),A)
% Current number of equations to process: 664
% Current number of ordered equations: 1030
% Current number of rules: 97
% New rule produced :
% [487]
% quotient(quotient(quotient(C,quotient(i(i(quotient(j(quotient(A,quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))),
% j(C)))),C)),B),A) <->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),j(quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(B,
% quotient(
% i(
% i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))))))
% Current number of equations to process: 664
% Current number of ordered equations: 1029
% Current number of rules: 98
% New rule produced :
% [488]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(
% i(
% quotient(
% j(
% quotient(A,B)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(B),j(quotient(A,B))))),
% quotient(A,B))))))) -> A
% Current number of equations to process: 664
% Current number of ordered equations: 1028
% Current number of rules: 99
% New rule produced :
% [489]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(i(A)))))))),
% quotient(i(A),i(i(t(A,i(quotient(j(B),i(A))))))))))))
% <->
% quotient(quotient(eta(A),i(B)),i(i(quotient(i(quotient(j(eta(A)),j(quotient(
% i(
% i(A)),
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))))),
% j(B)))))
% Current number of equations to process: 593
% Current number of ordered equations: 1297
% Current number of rules: 100
% New rule produced :
% [490]
% quotient(quotient(eta(A),i(B)),i(i(quotient(i(quotient(j(eta(A)),j(quotient(
% i(
% i(A)),
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))))),
% j(B))))) <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(i(A)))))))),
% quotient(i(A),i(i(t(A,i(quotient(j(B),i(A))))))))))))
% Current number of equations to process: 593
% Current number of ordered equations: 1296
% Current number of rules: 101
% New rule produced :
% [491]
% i(i(quotient(j(eta(A)),j(quotient(i(i(A)),quotient(i(i(quotient(j(quotient(
% eta(A),
% i(B))),
% j(A)))),A)))))) <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% j(A)))))),
% quotient(i(i(quotient(j(B),j(j(j(A)))))),j(j(A))))))))
% Current number of equations to process: 629
% Current number of ordered equations: 1342
% Current number of rules: 102
% New rule produced :
% [492]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% j(A)))))),
% quotient(i(i(quotient(j(B),j(j(j(A)))))),j(j(A))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(A)),quotient(i(i(quotient(j(quotient(
% eta(A),
% i(B))),
% j(A)))),A))))))
% Current number of equations to process: 629
% Current number of ordered equations: 1341
% Current number of rules: 103
% New rule produced :
% [493]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(quotient(
% i(
% i(
% quotient(
% j(B),
% j(
% eta(A))))),
% eta(A)),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(quotient(eta(A),i(B)))))),
% quotient(eta(A),i(B)))))))) ->
% quotient(quotient(eta(A),i(B)),quotient(i(i(quotient(j(C),j(B)))),B))
% Current number of equations to process: 629
% Current number of ordered equations: 1340
% Current number of rules: 104
% New rule produced :
% [494]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(
% i(
% quotient(
% j(
% t(
% eta(A),B)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(t(eta(A),C)),j(t(eta(A),B))))),
% t(eta(A),B))))))) ->
% t(eta(A),quotient(B,quotient(i(i(quotient(j(C),j(B)))),B)))
% Current number of equations to process: 629
% Current number of ordered equations: 1339
% Current number of rules: 105
% New rule produced :
% [495]
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% eta(A),
% j(eta(A))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% <->
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A)
% Current number of equations to process: 458
% Current number of ordered equations: 1781
% Current number of rules: 106
% New rule produced :
% [496]
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A) <->
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% eta(A),
% j(eta(A))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% Current number of equations to process: 458
% Current number of ordered equations: 1780
% Current number of rules: 107
% New rule produced :
% [497]
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% <->
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A)
% Current number of equations to process: 404
% Current number of ordered equations: 1971
% Current number of rules: 108
% New rule produced :
% [498]
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A) <->
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% Current number of equations to process: 404
% Current number of ordered equations: 1970
% Current number of rules: 109
% New rule produced :
% [499]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))))))))))))
% Current number of equations to process: 16
% Current number of ordered equations: 2625
% Current number of rules: 110
% New rule produced :
% [500]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))))))))))))))
% Current number of equations to process: 16
% Current number of ordered equations: 2624
% Current number of rules: 111
% New rule produced : [501] t(j(eta(A)),A) -> j(j(j(j(A))))
% Current number of equations to process: 20
% Current number of ordered equations: 2619
% Current number of rules: 112
% New rule produced : [502] t(A,i(i(i(A)))) -> j(j(j(A)))
% Current number of equations to process: 21
% Current number of ordered equations: 2616
% Current number of rules: 113
% New rule produced : [503] t(j(j(j(A))),eta(A)) -> j(eta(A))
% Current number of equations to process: 21
% Current number of ordered equations: 2615
% Current number of rules: 114
% New rule produced : [504] quotient(j(eta(A)),j(A)) -> j(j(j(j(A))))
% Current number of equations to process: 38
% Current number of ordered equations: 2597
% Current number of rules: 115
% New rule produced : [505] t(j(quotient(A,i(A))),A) -> i(i(A))
% Current number of equations to process: 40
% Current number of ordered equations: 2594
% Current number of rules: 116
% New rule produced : [506] quotient(j(quotient(A,j(A))),i(A)) -> j(A)
% Current number of equations to process: 40
% Current number of ordered equations: 2591
% Current number of rules: 117
% New rule produced : [507] i(i(quotient(j(j(A)),quotient(A,j(A))))) -> i(A)
% Current number of equations to process: 40
% Current number of ordered equations: 2588
% Current number of rules: 118
% New rule produced : [508] quotient(A,i(i(quotient(B,j(A))))) -> i(B)
% Current number of equations to process: 47
% Current number of ordered equations: 2579
% Current number of rules: 119
% New rule produced : [509] quotient(j(quotient(A,i(A))),j(A)) -> j(A)
% Current number of equations to process: 47
% Current number of ordered equations: 2578
% Current number of rules: 120
% New rule produced : [510] i(t(eta(A),eta(B))) -> j(t(eta(A),eta(B)))
% Current number of equations to process: 47
% Current number of ordered equations: 2577
% Current number of rules: 121
% New rule produced : [511] quotient(quotient(A,j(eta(B))),A) -> t(A,eta(B))
% Current number of equations to process: 47
% Current number of ordered equations: 2575
% Current number of rules: 122
% New rule produced : [512] quotient(j(quotient(A,i(A))),i(A)) -> i(A)
% Current number of equations to process: 47
% Current number of ordered equations: 2574
% Current number of rules: 123
% New rule produced : [513] t(j(eta(A)),i(i(i(A)))) -> j(A)
% Current number of equations to process: 47
% Current number of ordered equations: 2572
% Current number of rules: 124
% New rule produced : [514] quotient(i(i(i(A))),j(eta(A))) -> i(A)
% Current number of equations to process: 54
% Current number of ordered equations: 2563
% Current number of rules: 125
% New rule produced : [515] quotient(i(i(A)),quotient(A,i(A))) -> i(A)
% Current number of equations to process: 54
% Current number of ordered equations: 2562
% Current number of rules: 126
% New rule produced : [516] t(j(j(j(A))),j(eta(A))) -> eta(A)
% Current number of equations to process: 54
% Current number of ordered equations: 2557
% Current number of rules: 127
% New rule produced : [517] t(j(A),i(i(A))) -> j(j(j(j(A))))
% Current number of equations to process: 54
% Current number of ordered equations: 2556
% Current number of rules: 128
% New rule produced : [518] t(i(i(i(A))),j(eta(A))) -> eta(A)
% Current number of equations to process: 54
% Current number of ordered equations: 2555
% Current number of rules: 129
% Rule [403] quotient(i(A),A) -> j(quotient(A,i(A))) is composed into [403]
% quotient(
% i(A),A)
% ->
% j(
% t(
% i(A),
% quotient(A,
% j(A))))
% Rule [107]
% a(A,B,C) ->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(quotient(B,quotient(
% i(i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))),j(i(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% eta(A),
% i(
% eta(A))),
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% i(i(
% quotient(
% j(C),
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,
% quotient(
% i(i(
% quotient(
% j(B),
% j(A)))),A)))))))))))) is composed into 
% [107]
% a(A,B,C) ->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(quotient(B,quotient(
% i(i(quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))),j(i(i(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% t(i(eta(A)),
% quotient(
% eta(A),
% j(eta(A)))),
% quotient(
% i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% i(i(quotient(
% j(C),
% j(quotient(A,
% quotient(
% i(i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,
% quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))))))))))))
% New rule produced : [519] quotient(A,i(A)) -> t(i(A),quotient(A,j(A)))
% Rule [350] quotient(quotient(A,i(A)),A) -> j(j(A)) collapsed.
% Rule [385] eta(quotient(A,i(A))) -> one collapsed.
% Rule [407] i(quotient(A,i(A))) -> j(quotient(A,i(A))) collapsed.
% Rule [420] quotient(quotient(A,i(A)),i(i(A))) -> A collapsed.
% Rule [472] j(j(quotient(A,i(A)))) -> quotient(A,i(A)) collapsed.
% Rule [478] quotient(i(A),i(i(A))) -> j(quotient(A,j(A))) collapsed.
% Rule [505] t(j(quotient(A,i(A))),A) -> i(i(A)) collapsed.
% Rule [509] quotient(j(quotient(A,i(A))),j(A)) -> j(A) collapsed.
% Rule [512] quotient(j(quotient(A,i(A))),i(A)) -> i(A) collapsed.
% Rule [515] quotient(i(i(A)),quotient(A,i(A))) -> i(A) collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 2424
% Current number of rules: 120
% New rule produced : [520] eta(t(i(A),quotient(A,j(A)))) -> one
% Current number of equations to process: 74
% Current number of ordered equations: 2424
% Current number of rules: 121
% New rule produced : [521] i(i(quotient(j(quotient(A,B)),j(A)))) -> B
% Current number of equations to process: 78
% Current number of ordered equations: 2419
% Current number of rules: 122
% New rule produced :
% [522]
% quotient(A,quotient(quotient(j(quotient(j(A),j(j(A)))),A),A)) -> j(j(A))
% Current number of equations to process: 78
% Current number of ordered equations: 2418
% Current number of rules: 123
% New rule produced :
% [523]
% quotient(quotient(A,quotient(i(i(quotient(B,j(A)))),A)),j(B)) ->
% quotient(A,j(eta(B)))
% Current number of equations to process: 78
% Current number of ordered equations: 2415
% Current number of rules: 124
% New rule produced : [524] quotient(eta(A),i(i(i(A)))) -> i(i(i(i(A))))
% Current number of equations to process: 81
% Current number of ordered equations: 2409
% Current number of rules: 125
% New rule produced : [525] quotient(i(i(i(A))),eta(A)) -> i(i(i(i(i(A)))))
% Current number of equations to process: 82
% Current number of ordered equations: 2407
% Current number of rules: 126
% New rule produced :
% [526] quotient(i(A),j(t(i(A),quotient(A,j(A))))) -> i(i(A))
% Current number of equations to process: 81
% Current number of ordered equations: 2407
% Current number of rules: 127
% New rule produced : [527] quotient(j(j(j(j(A)))),eta(A)) -> j(j(A))
% Current number of equations to process: 81
% Current number of ordered equations: 2406
% Current number of rules: 128
% New rule produced : [528] quotient(j(j(A)),j(eta(A))) -> j(j(j(j(A))))
% Current number of equations to process: 83
% Current number of ordered equations: 2402
% Current number of rules: 129
% New rule produced : [529] t(i(i(i(i(A)))),eta(A)) -> j(eta(A))
% Current number of equations to process: 84
% Current number of ordered equations: 2398
% Current number of rules: 130
% New rule produced : [530] j(j(t(eta(A),eta(B)))) -> t(eta(A),eta(B))
% Current number of equations to process: 84
% Current number of ordered equations: 2397
% Current number of rules: 131
% New rule produced : [531] quotient(j(quotient(A,j(A))),j(A)) -> j(j(j(A)))
% Rule
% [499]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))))))))))))
% collapsed.
% Rule
% [500]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A))))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,j(A)))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A)))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),j(
% quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% j(quotient(A,
% j(A))))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% j(
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% j(
% quotient(A,
% j(A)))))))))))))))))))))))))))))
% collapsed.
% Current number of equations to process: 86
% Current number of ordered equations: 2390
% Current number of rules: 130
% New rule produced :
% [532]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
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% eta(A)))),
% i(
% i(
% quotient(
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% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
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% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
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% quotient(
% t(
% eta(A),
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% eta(A)))),
% i(
% i(
% quotient(
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% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
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% eta(A))))))),
% j(quotient(A,j(A))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
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% i(
% i(
% quotient(
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% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A)))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
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% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
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% i(
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% i(i(quotient(
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% i(
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% i(
% i(
% quotient(
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% i(
% i(
% quotient(
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% i(
% i(
% quotient(
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% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
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% eta(A))))))),
% j(
% quotient(A,
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% j(
% eta(A)))))))))),
% quotient(
% i(quotient(
% j(
% eta(A)),
% j(
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% i(
% i(
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% j(
% eta(A)),
% j(
% quotient(
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% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
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% i(i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
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% i(
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% j(
% eta(A)),
% j(
% quotient(
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% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
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% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A)))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
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% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
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% i(
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% j(
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% j(
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% eta(A)))),
% i(
% i(
% quotient(
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% eta(A)),
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% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
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% eta(A)))),
% i(
% i(
% quotient(
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% quotient(
% i(
% i(
% quotient(
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% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
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% quotient(
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% eta(A)))),
% i(
% i(
% quotient(
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% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
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% eta(A))))))),
% j(quotient(A,
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% i(quotient(
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% quotient(
% j(
% eta(A)),
% j(
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% j(
% quotient(
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% eta(A),
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% eta(A)))),
% i(
% i(
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% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
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% i(
% i(
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% i(
% i(
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% i(
% i(
% quotient(
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% eta(A)),
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% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
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% t(
% eta(A),
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% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
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% i(
% i(
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% eta(A)),
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% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
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% eta(A))))))),
% j(quotient(A,
% j(A)))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
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% j(
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% eta(A)))),
% i(
% i(
% quotient(
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% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
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% j(
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% t(
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% eta(A)))),
% i(
% i(
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% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
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% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
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% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
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% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A)))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))))))))))))))
% Current number of equations to process: 5
% Current number of ordered equations: 2978
% Current number of rules: 131
% New rule produced :
% [533]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
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% quotient(
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% j(
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% i(
% i(
% quotient(
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% i(
% i(
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% j(
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% i(
% i(
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% j(
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% t(
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% i(
% i(
% quotient(
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% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
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% eta(A))))))),
% j(
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% quotient(
% i(quotient(
% j(
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% j(
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% i(
% i(
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% quotient(
% i(
% i(
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% eta(A))))))),
% j(
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% i(i(
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% i(
% i(
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% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
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% eta(A))))))),
% j(
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% i(
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% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
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% eta(A)),
% j(
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% j(
% eta(A)))),
% i(
% i(
% quotient(
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% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
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% eta(A))))),
% eta(A))))))),
% j(
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% j(A))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
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% j(
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% eta(A)))),
% i(
% i(
% quotient(
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% eta(A)),
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% i(
% i(
% quotient(
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% i(
% i(
% quotient(
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% quotient(
% i(
% i(
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% eta(A))))))),
% j(
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% eta(A)))))))))),
% quotient(i(quotient(
% j(
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% j(
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% i(
% i(
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% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
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% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
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% j(
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% i(
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% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))),
% i(quotient(
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% quotient(
% j(
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% j(
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% i(
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% quotient(
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% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A)))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A)))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A))))))))))))))))))
% Current number of equations to process: 5
% Current number of ordered equations: 2977
% Current number of rules: 132
% New rule produced : [534] eta(t(eta(A),eta(B))) -> one
% Current number of equations to process: 11
% Current number of ordered equations: 2957
% Current number of rules: 133
% New rule produced : [535] i(quotient(B,eta(A))) <-> quotient(eta(A),i(i(B)))
% Current number of equations to process: 14
% Current number of ordered equations: 2953
% Current number of rules: 134
% New rule produced : [536] quotient(eta(A),i(i(B))) <-> i(quotient(B,eta(A)))
% Rule [229] quotient(eta(A),i(i(A))) -> i(i(i(A))) collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 2928
% Current number of rules: 134
% New rule produced : [537] t(j(eta(A)),j(A)) -> j(j(j(j(j(A)))))
% Current number of equations to process: 16
% Current number of ordered equations: 2926
% Current number of rules: 135
% New rule produced : [538] t(j(j(A)),i(A)) -> j(j(j(j(j(A)))))
% Current number of equations to process: 18
% Current number of ordered equations: 2923
% Current number of rules: 136
% New rule produced : [539] eta(quotient(j(quotient(B,A)),j(B))) -> eta(A)
% Current number of equations to process: 33
% Current number of ordered equations: 2899
% Current number of rules: 137
% New rule produced : [540] i(quotient(j(quotient(B,A)),j(B))) -> j(A)
% Rule [521] i(i(quotient(j(quotient(A,B)),j(A)))) -> B collapsed.
% Current number of equations to process: 33
% Current number of ordered equations: 2826
% Current number of rules: 137
% New rule produced : [541] t(j(j(j(j(A)))),eta(A)) -> j(eta(A))
% Current number of equations to process: 33
% Current number of ordered equations: 2825
% Current number of rules: 138
% New rule produced : [542] i(quotient(j(j(A)),quotient(A,j(A)))) -> A
% Rule [507] i(i(quotient(j(j(A)),quotient(A,j(A))))) -> i(A) collapsed.
% Current number of equations to process: 33
% Current number of ordered equations: 2776
% Current number of rules: 138
% New rule produced : [543] t(j(eta(A)),i(i(i(i(A))))) -> A
% Current number of equations to process: 33
% Current number of ordered equations: 2774
% Current number of rules: 139
% New rule produced : [544] eta(t(A,quotient(j(A),j(j(A))))) -> one
% Current number of equations to process: 33
% Current number of ordered equations: 2773
% Current number of rules: 140
% New rule produced : [545] quotient(quotient(A,j(A)),j(j(A))) -> j(j(A))
% Current number of equations to process: 33
% Current number of ordered equations: 2772
% Current number of rules: 141
% New rule produced : [546] quotient(j(eta(A)),i(i(i(i(A))))) -> i(A)
% Current number of equations to process: 33
% Current number of ordered equations: 2769
% Current number of rules: 142
% New rule produced : [547] quotient(j(eta(A)),j(j(A))) -> j(j(j(j(j(A)))))
% Current number of equations to process: 33
% Current number of ordered equations: 2766
% Current number of rules: 143
% New rule produced : [548] quotient(eta(A),j(j(j(j(A))))) -> j(j(j(A)))
% Current number of equations to process: 34
% Current number of ordered equations: 2764
% Current number of rules: 144
% New rule produced : [549] quotient(A,j(quotient(j(A),j(j(A))))) -> j(A)
% Current number of equations to process: 34
% Current number of ordered equations: 2763
% Current number of rules: 145
% New rule produced : [550] t(j(j(j(j(A)))),j(eta(A))) -> eta(A)
% Current number of equations to process: 34
% Current number of ordered equations: 2758
% Current number of rules: 146
% New rule produced : [551] t(i(i(i(i(A)))),j(eta(A))) -> eta(A)
% Current number of equations to process: 34
% Current number of ordered equations: 2757
% Current number of rules: 147
% New rule produced :
% [552] quotient(i(i(A)),j(j(A))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 43
% Current number of ordered equations: 2745
% Current number of rules: 148
% New rule produced :
% [553] quotient(i(i(i(i(A)))),A) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 43
% Current number of ordered equations: 2744
% Current number of rules: 149
% New rule produced :
% [554] quotient(i(i(i(A))),j(A)) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 45
% Current number of ordered equations: 2741
% Current number of rules: 150
% New rule produced :
% [555] quotient(i(A),j(j(j(A)))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 45
% Current number of ordered equations: 2740
% Current number of rules: 151
% New rule produced : [556] t(B,i(i(quotient(j(B),j(A))))) <-> quotient(A,B)
% Current number of equations to process: 45
% Current number of ordered equations: 2739
% Current number of rules: 152
% Rule [366] product(A,B) -> quotient(A,quotient(i(i(quotient(j(B),j(A)))),A)) is composed into 
% [366]
% product(A,B) ->
% quotient(A,t(A,i(i(quotient(j(A),j(i(i(quotient(j(B),j(A))))))))))
% Rule [107]
% a(A,B,C) ->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(quotient(B,quotient(
% i(i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))),j(i(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% t(
% i(
% eta(A)),
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(
% i(i(
% quotient(
% j(C),
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,
% quotient(
% i(i(
% quotient(
% j(B),
% j(A)))),A)))))))))))) is composed into 
% [107]
% a(A,B,C) ->
% i(i(quotient(j(quotient(A,t(A,i(i(quotient(j(A),j(i(i(quotient(j(quotient(B,
% t(B,
% i(i(
% quotient(
% j(B),
% j(
% i(
% i(
% quotient(
% j(C),
% j(B))))))))))),
% j(A))))))))))),
% j(i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(
% t(i(eta(A)),
% quotient(
% eta(A),
% j(eta(A)))),
% t(eta(A),
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% j(
% j(
% eta(A))),
% j(
% j(
% quotient(A,
% t(A,
% i(
% i(
% quotient(
% j(A),
% j(
% i(
% i(
% quotient(
% j(B),
% j(A)))))))))))))))))))))))))))),
% t(quotient(A,t(A,i(i(quotient(j(A),j(i(
% i(
% quotient(
% j(B),
% j(A)))))))))),
% i(i(quotient(j(quotient(A,t(A,i(i(quotient(
% j(A),
% j(i(
% i(
% quotient(
% j(B),
% j(A))))))))))),
% j(i(i(quotient(j(C),j(quotient(A,t(A,
% i(
% i(
% quotient(
% j(A),
% j(
% i(
% i(
% quotient(
% j(B),
% j(A))))))))))))))))))))))))))))
% Rule [61]
% c(B,A) ->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),
% j(quotient(B,quotient(i(i(quotient(j(A),j(B)))),B)))))) is composed into 
% [61]
% c(B,A) ->
% i(i(quotient(j(quotient(A,t(A,i(i(quotient(j(A),j(i(i(quotient(j(B),j(A))))))))))),
% j(quotient(B,t(B,i(i(quotient(j(B),j(i(i(quotient(j(A),j(B))))))))))))))
% New rule produced : [557] quotient(A,B) <-> t(B,i(i(quotient(j(B),j(A)))))
% Rule [193] quotient(j(j(A)),eta(A)) -> A collapsed.
% Rule [194] quotient(j(j(A)),A) -> j(eta(A)) collapsed.
% Rule [263] quotient(i(i(A)),A) -> eta(A) collapsed.
% Rule [293] quotient(t(eta(A),B),eta(A)) -> t(eta(A),quotient(B,eta(A)))
% collapsed.
% Rule [338] quotient(i(A),j(A)) -> eta(A) collapsed.
% Rule [344] quotient(i(A),j(eta(A))) -> j(A) collapsed.
% Rule [362] quotient(i(i(A)),eta(A)) -> i(i(i(i(A)))) collapsed.
% Rule [364] quotient(quotient(A,j(eta(B))),eta(B)) -> A collapsed.
% Rule [397] quotient(quotient(A,j(A)),A) -> A collapsed.
% Rule [400] quotient(i(A),eta(A)) -> i(i(i(A))) collapsed.
% Rule [403] quotient(i(A),A) -> j(t(i(A),quotient(A,j(A)))) collapsed.
% Rule [405] quotient(i(i(A)),j(eta(A))) -> A collapsed.
% Rule [409] quotient(j(j(j(A))),eta(A)) -> j(A) collapsed.
% Rule [433] quotient(quotient(A,eta(B)),A) -> t(A,j(eta(B))) collapsed.
% Rule [434] quotient(quotient(A,eta(B)),j(eta(B))) -> A collapsed.
% Rule [467] quotient(j(eta(A)),A) -> j(j(j(A))) collapsed.
% Rule [469] quotient(A,quotient(j(quotient(j(A),j(j(A)))),A)) -> eta(A)
% collapsed.
% Rule [482] quotient(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A)),B) -> A
% collapsed.
% Rule
% [483] quotient(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A)),A) -> t(A,B)
% collapsed.
% Rule
% [484]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),A))))),A)))))
% -> j(quotient(A,j(A))) collapsed.
% Rule
% [485]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(A))))))),
% j(A)))))) -> eta(A) collapsed.
% Rule
% [486]
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),j(quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(B,
% quotient(
% i(
% i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))))))
% <->
% quotient(quotient(quotient(C,quotient(i(i(quotient(j(quotient(A,quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))),
% j(C)))),C)),B),A) collapsed.
% Rule
% [487]
% quotient(quotient(quotient(C,quotient(i(i(quotient(j(quotient(A,quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))),
% j(C)))),C)),B),A) <->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),j(quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(B,
% quotient(
% i(
% i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))))))
% collapsed.
% Rule
% [488]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(
% i(
% quotient(
% j(
% quotient(A,B)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(B),j(quotient(A,B))))),
% quotient(A,B))))))) -> A collapsed.
% Rule
% [489]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(i(A)))))))),
% quotient(i(A),i(i(t(A,i(quotient(j(B),i(A))))))))))))
% <->
% quotient(quotient(eta(A),i(B)),i(i(quotient(i(quotient(j(eta(A)),j(quotient(
% i(
% i(A)),
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))))),
% j(B))))) collapsed.
% Rule
% [490]
% quotient(quotient(eta(A),i(B)),i(i(quotient(i(quotient(j(eta(A)),j(quotient(
% i(
% i(A)),
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))))),
% j(B))))) <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(i(A)))))))),
% quotient(i(A),i(i(t(A,i(quotient(j(B),i(A))))))))))))
% collapsed.
% Rule
% [491]
% i(i(quotient(j(eta(A)),j(quotient(i(i(A)),quotient(i(i(quotient(j(quotient(
% eta(A),
% i(B))),
% j(A)))),A)))))) <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% j(A)))))),
% quotient(i(i(quotient(j(B),j(j(j(A)))))),j(j(A))))))))
% collapsed.
% Rule
% [492]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% j(A)))))),
% quotient(i(i(quotient(j(B),j(j(j(A)))))),j(j(A))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(A)),quotient(i(i(quotient(j(quotient(
% eta(A),
% i(B))),
% j(A)))),A))))))
% collapsed.
% Rule
% [493]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(quotient(
% i(
% i(
% quotient(
% j(B),
% j(
% eta(A))))),
% eta(A)),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(quotient(eta(A),i(B)))))),
% quotient(eta(A),i(B)))))))) ->
% quotient(quotient(eta(A),i(B)),quotient(i(i(quotient(j(C),j(B)))),B))
% collapsed.
% Rule
% [494]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(
% i(
% quotient(
% j(
% t(
% eta(A),B)),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(t(eta(A),C)),j(t(eta(A),B))))),
% t(eta(A),B))))))) ->
% t(eta(A),quotient(B,quotient(i(i(quotient(j(C),j(B)))),B))) collapsed.
% Rule
% [495]
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% eta(A),
% j(eta(A))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% <->
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A) collapsed.
% Rule
% [496]
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A) <->
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% eta(A),
% j(eta(A))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% collapsed.
% Rule
% [497]
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% <->
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A) collapsed.
% Rule
% [498]
% quotient(quotient(B,quotient(i(i(quotient(j(quotient(C,quotient(i(i(quotient(
% j(A),
% j(C)))),C))),
% j(B)))),B)),A) <->
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(i(i(
% quotient(
% j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A))),
% j(
% eta(A))))),
% eta(A))))))),
% quotient(i(i(quotient(j(C),j(
% quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(B),
% j(A)))),A)))))),
% quotient(A,quotient(i(i(quotient(
% j(B),
% j(A)))),A))))))))))
% collapsed.
% Rule [506] quotient(j(quotient(A,j(A))),i(A)) -> j(A) collapsed.
% Rule [511] quotient(quotient(A,j(eta(B))),A) -> t(A,eta(B)) collapsed.
% Rule [514] quotient(i(i(i(A))),j(eta(A))) -> i(A) collapsed.
% Rule
% [522]
% quotient(A,quotient(quotient(j(quotient(j(A),j(j(A)))),A),A)) -> j(j(A))
% collapsed.
% Rule
% [523]
% quotient(quotient(A,quotient(i(i(quotient(B,j(A)))),A)),j(B)) ->
% quotient(A,j(eta(B))) collapsed.
% Rule [525] quotient(i(i(i(A))),eta(A)) -> i(i(i(i(i(A))))) collapsed.
% Rule [527] quotient(j(j(j(j(A)))),eta(A)) -> j(j(A)) collapsed.
% Rule [531] quotient(j(quotient(A,j(A))),j(A)) -> j(j(j(A))) collapsed.
% Rule
% [532]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A)))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(
% i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A)))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A)))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))))))))))))))
% collapsed.
% Rule
% [533]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(
% i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A)))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))))),
% i(i(t(quotient(j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(quotient(
% i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A)))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A)))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A)))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(
% quotient(A,
% j(A))))))))))))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(quotient(
% j(quotient(
% i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,
% j(A))))),
% j(eta(A)))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A)))))),
% i(quotient(j(quotient(B,quotient(i(i(quotient(
% j(C),
% j(B)))),B))),
% i(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% quotient(
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% j(
% eta(A))))),
% eta(A))))))),
% j(quotient(A,j(A))))))))))))))))))
% collapsed.
% Rule [539] eta(quotient(j(quotient(B,A)),j(B))) -> eta(A) collapsed.
% Rule [540] i(quotient(j(quotient(B,A)),j(B))) -> j(A) collapsed.
% Rule [545] quotient(quotient(A,j(A)),j(j(A))) -> j(j(A)) collapsed.
% Rule [552] quotient(i(i(A)),j(j(A))) -> quotient(eta(A),j(eta(A))) collapsed.
% Rule [553] quotient(i(i(i(i(A)))),A) -> quotient(eta(A),j(eta(A))) collapsed.
% Rule [554] quotient(i(i(i(A))),j(A)) -> quotient(eta(A),j(eta(A))) collapsed.
% Rule [555] quotient(i(A),j(j(j(A)))) -> quotient(eta(A),j(eta(A))) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% i(i(quotient(j(eta(x3)),j(quotient(quotient(i(i(x3)),i(i(quotient(j(x0),
% j(x3))))),t(x0,
% i(
% i(
% quotient(
% j(x0),
% i(
% t(
% j(x0),
% i(
% i(
% quotient(
% j(
% j(x0)),
% j(
% j(
% t(x0,
% i(
% i(
% quotient(
% j(x0),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% i(
% i(x3)),
% i(
% i(
% quotient(
% j(x1),
% j(x3))))),
% t(x1,
% i(
% i(
% quotient(
% j(x1),
% i(
% t(
% j(x1),
% i(
% i(
% quotient(
% j(
% j(x1)),
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% t(
% j(j(x3)),
% i(
% i(
% quotient(
% j(
% j(j(x3))),
% i(x3))))),
% i(
% i(
% t(
% eta(x3),
% quotient(
% j(
% eta(x3)),
% i(
% t(
% j(
% eta(x3)),
% i(
% i(
% quotient(
% eta(x3),
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% t(x3,
% i(
% i(
% quotient(
% j(x3),
% i(
% quotient(
% j(x2),
% j(x3))))))))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% t(x2,
% i(
% i(
% quotient(
% j(x2),
% i(
% quotient(
% j(x3),
% j(x2)))))))))))))))))))))))))),
% quotient(
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% t(x3,
% i(
% i(
% quotient(
% j(x3),
% i(
% quotient(
% j(x2),
% j(x3))))))))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% t(x2,
% i(
% i(
% quotient(
% j(x2),
% i(
% quotient(
% j(x3),
% j(x2))))))))))))),
% i(
% i(
% t(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% t(x3,
% i(
% i(
% quotient(
% j(x3),
% i(
% quotient(
% j(x2),
% j(x3))))))))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% t(x2,
% i(
% i(
% quotient(
% j(x2),
% i(
% quotient(
% j(x3),
% j(x2)))))))))))),
% i(
% quotient(
% j(x0),
% i(
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% t(x3,
% i(
% i(
% quotient(
% j(x3),
% i(
% quotient(
% j(x2),
% j(x3))))))))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% t(x2,
% i(
% i(
% quotient(
% j(x2),
% i(
% quotient(
% j(x3),
% j(x2))))))))))))))))))))))))))))))))))))))))))))))))))))))) = 
% i(i(quotient(j(eta(x3)),j(quotient(quotient(eta(x3),i(x0)),t(x0,i(i(quotient(
% j(x0),
% i(
% t(
% j(x0),
% i(
% i(
% quotient(
% j(
% j(x0)),
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x1)),
% t(x1,
% i(
% i(
% quotient(
% j(x1),
% i(
% t(
% j(x1),
% i(
% i(
% quotient(
% j(
% j(x1)),
% quotient(
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% i(
% i(x3)),
% t(x3,
% i(
% i(
% quotient(
% j(x3),
% i(
% quotient(
% j(x2),
% j(x3))))))))))),
% i(
% quotient(
% j(
% eta(x3)),
% j(
% quotient(
% quotient(
% eta(x3),
% i(x2)),
% t(x2,
% i(
% i(
% quotient(
% j(x2),
% i(
% quotient(
% j(x3),
% j(x2))))))))))))))))))))))))))))))))))))))
% 
% Current number of equations to process: 1453
% Current number of ordered equations: 148
% Current number of rules: 102
% New rule produced :
% [558]
% t(B,i(i(quotient(j(B),j(quotient(A,t(A,i(i(quotient(j(A),i(quotient(j(B),
% j(A)))))))))))))
% -> A
% Current number of equations to process: 1440
% Current number of ordered equations: 165
% Current number of rules: 103
% New rule produced :
% [559]
% t(A,i(i(quotient(j(A),j(quotient(A,t(A,i(i(quotient(j(A),i(quotient(j(B),
% j(A)))))))))))))
% -> t(A,B)
% Current number of equations to process: 1440
% Current number of ordered equations: 164
% Current number of rules: 104
% New rule produced :
% [560]
% i(i(quotient(j(eta(A)),j(t(A,i(i(quotient(j(A),i(quotient(j(eta(A)),j(
% t(A,
% i(
% i(
% quotient(
% j(A),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))
% -> j(quotient(A,j(A)))
% Current number of equations to process: 1440
% Current number of ordered equations: 163
% Current number of rules: 105
% New rule produced :
% [561]
% i(i(quotient(j(eta(A)),j(t(j(A),i(i(quotient(j(j(A)),i(quotient(j(eta(A)),
% j(t(i(i(A)),i(
% i(
% quotient(
% i(A),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))
% -> eta(A)
% Current number of equations to process: 1440
% Current number of ordered equations: 162
% Current number of rules: 106
% New rule produced :
% [562]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(t(i(i(i(A))),
% i(i(quotient(
% i(i(A)),
% j(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))),
% quotient(i(A),i(i(t(A,i(quotient(j(B),i(A))))))))))))
% <->
% quotient(quotient(eta(A),i(B)),i(i(t(j(B),i(i(quotient(j(j(B)),quotient(
% j(eta(A)),
% j(quotient(
% i(i(A)),
% t(A,
% i(i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A)))))))))))))))))
% Current number of equations to process: 403
% Current number of ordered equations: 1645
% Current number of rules: 107
% New rule produced :
% [563]
% quotient(quotient(eta(A),i(B)),i(i(t(j(B),i(i(quotient(j(j(B)),quotient(
% j(eta(A)),
% j(quotient(
% i(i(A)),
% t(A,
% i(i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A)))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(t(i(i(i(A))),
% i(i(quotient(
% i(i(A)),
% j(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))),
% quotient(i(A),i(i(t(A,i(quotient(j(B),i(A))))))))))))
% Current number of equations to process: 403
% Current number of ordered equations: 1644
% Current number of rules: 108
% New rule produced :
% [564]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(t(j(A),i(i(
% quotient(
% j(
% j(A)),
% j(
% quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))),
% t(j(j(A)),i(i(quotient(j(j(j(A))),i(quotient(
% j(B),j(j(j(A))))))))))))))
% ->
% i(i(quotient(j(eta(A)),j(quotient(i(i(A)),t(A,i(i(quotient(j(A),i(t(j(A),
% i(i(
% quotient(
% j(
% j(A)),
% j(
% j(
% quotient(
% eta(A),
% i(B))))))))))))))))))
% Current number of equations to process: 405
% Current number of ordered equations: 1641
% Current number of rules: 109
% New rule produced :
% [565]
% i(i(quotient(j(quotient(A,t(A,i(i(quotient(j(A),i(quotient(j(B),j(A))))))))),
% j(quotient(A,t(A,i(i(quotient(j(A),i(quotient(j(quotient(B,t(B,i(
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(C),
% j(B))))))))),
% j(A)))))))))))) <->
% t(A,i(i(quotient(j(A),j(t(B,i(i(quotient(j(B),j(quotient(C,t(C,i(i(quotient(
% j(C),
% i(
% quotient(
% j(
% quotient(A,
% t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))),
% j(C))))))))))))))))))
% Current number of equations to process: 494
% Current number of ordered equations: 1772
% Current number of rules: 110
% New rule produced :
% [566]
% t(A,i(i(quotient(j(A),j(t(B,i(i(quotient(j(B),j(quotient(C,t(C,i(i(quotient(
% j(C),
% i(
% quotient(
% j(
% quotient(A,
% t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))),
% j(C))))))))))))))))))
% <->
% i(i(quotient(j(quotient(A,t(A,i(i(quotient(j(A),i(quotient(j(B),j(A))))))))),
% j(quotient(A,t(A,i(i(quotient(j(A),i(quotient(j(quotient(B,t(B,i(
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(C),
% j(B))))))))),
% j(A))))))))))))
% Current number of equations to process: 494
% Current number of ordered equations: 1771
% Current number of rules: 111
% New rule produced :
% [567]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(j(eta(A)),
% i(i(
% quotient(
% eta(A),
% j(
% j(
% quotient(A,B))))))))))))))))),
% t(quotient(A,B),i(i(quotient(j(quotient(A,B)),
% i(quotient(j(B),j(quotient(A,B)))))))))))))
% -> A
% Current number of equations to process: 494
% Current number of ordered equations: 1770
% Current number of rules: 112
% New rule produced :
% [568]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x3)),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(eta(A),
% quotient(
% j(eta(A)),
% i(quotient(
% j(B),
% j(
% eta(A)))))))))))))))),
% t(quotient(eta(A),i(B)),i(i(quotient(j(quotient(
% eta(A),
% i(B))),
% i(quotient(j(C),
% j(quotient(eta(A),
% i(B)))))))))))))) ->
% quotient(quotient(eta(A),i(B)),t(B,i(i(quotient(j(B),i(quotient(j(C),j(B))))))))
% Current number of equations to process: 494
% Current number of ordered equations: 1769
% Current number of rules: 113
% New rule produced :
% [569]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(j(eta(A)),
% i(i(
% quotient(
% eta(A),
% j(
% j(
% t(
% eta(A),B))))))))))))))))),
% t(t(eta(A),B),i(i(quotient(j(t(eta(A),B)),i(
% quotient(
% j(
% t(
% eta(A),C)),
% j(
% t(
% eta(A),B)))))))))))))
% -> t(eta(A),quotient(B,t(B,i(i(quotient(j(B),i(quotient(j(C),j(B)))))))))
% Current number of equations to process: 494
% Current number of ordered equations: 1768
% Current number of rules: 114
% New rule produced :
% [570]
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% eta(A),
% j(eta(A))),
% i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(j(
% quotient(A,
% t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A)))))))))))))))))))))))),
% t(quotient(A,t(A,i(i(quotient(
% j(A),i(
% quotient(
% j(B),
% j(A)))))))),
% i(i(quotient(j(quotient(A,t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))),
% i(quotient(j(C),j(quotient(A,
% t(A,i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))))))))))))))))
% <->
% t(A,i(i(quotient(j(A),j(quotient(B,t(B,i(i(quotient(j(B),i(quotient(j(
% quotient(C,
% t(C,
% i(
% i(
% quotient(
% j(C),
% i(
% quotient(
% j(A),
% j(C))))))))),
% j(B)))))))))))))
% Current number of equations to process: 142
% Current number of ordered equations: 2592
% Current number of rules: 115
% New rule produced :
% [571]
% t(A,i(i(quotient(j(A),j(quotient(B,t(B,i(i(quotient(j(B),i(quotient(j(
% quotient(C,
% t(C,
% i(
% i(
% quotient(
% j(C),
% i(
% quotient(
% j(A),
% j(C))))))))),
% j(B)))))))))))))
% <->
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% eta(A),
% j(eta(A))),
% i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(j(
% quotient(A,
% t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A)))))))))))))))))))))))),
% t(quotient(A,t(A,i(i(quotient(
% j(A),i(
% quotient(
% j(B),
% j(A)))))))),
% i(i(quotient(j(quotient(A,t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))),
% i(quotient(j(C),j(quotient(A,
% t(A,i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))))))))))))))))
% Current number of equations to process: 141
% Current number of ordered equations: 2592
% Current number of rules: 116
% New rule produced :
% [572]
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(j(
% quotient(A,
% t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A)))))))))))))))))))))))),
% t(quotient(A,t(A,i(i(quotient(
% j(A),i(
% quotient(
% j(B),
% j(A)))))))),
% i(i(quotient(j(quotient(A,t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))),
% i(quotient(j(C),j(quotient(A,
% t(A,i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))))))))))))))))
% <->
% t(A,i(i(quotient(j(A),j(quotient(B,t(B,i(i(quotient(j(B),i(quotient(j(
% quotient(C,
% t(C,
% i(
% i(
% quotient(
% j(C),
% i(
% quotient(
% j(A),
% j(C))))))))),
% j(B)))))))))))))
% Current number of equations to process: 159
% Current number of ordered equations: 2752
% Current number of rules: 117
% New rule produced :
% [573]
% t(A,i(i(quotient(j(A),j(quotient(B,t(B,i(i(quotient(j(B),i(quotient(j(
% quotient(C,
% t(C,
% i(
% i(
% quotient(
% j(C),
% i(
% quotient(
% j(A),
% j(C))))))))),
% j(B)))))))))))))
% <->
% i(i(quotient(j(A),i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),
% j(quotient(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(j(
% quotient(A,
% t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A)))))))))))))))))))))))),
% t(quotient(A,t(A,i(i(quotient(
% j(A),i(
% quotient(
% j(B),
% j(A)))))))),
% i(i(quotient(j(quotient(A,t(A,
% i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))),
% i(quotient(j(C),j(quotient(A,
% t(A,i(
% i(
% quotient(
% j(A),
% i(
% quotient(
% j(B),
% j(A))))))))))))))))))))))
% Current number of equations to process: 158
% Current number of ordered equations: 2752
% Current number of rules: 118
% New rule produced :
% [574]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))))))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(t(j(
% quotient(A,
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% i(i(
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% i(
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% j(
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% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
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% i(
% t(
% eta(A),
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% j(
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% i(
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% j(
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% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
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% j(
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% i(
% i(
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% i(
% i(
% t(
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% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
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% eta(A)))),
% i(
% i(
% quotient(
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% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
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% i(
% i(
% quotient(
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% i(
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% j(
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% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
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% j(A))))))))))),
% j(
% quotient(
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% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(t(j(
% quotient(A,
% j(A))),
% i(i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
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% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(i(t(quotient(j(eta(A)),
% j(t(j(quotient(A,
% j(A))),
% i(i(quotient(
% quotient(A,
% j(A)),
% i(quotient(
% j(eta(A)),
% j(t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(t(j(quotient(A,
% j(A))),
% i(i(quotient(
% quotient(A,
% j(A)),
% i(quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
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% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(i(quotient(j(eta(A)),j(t(j(quotient(A,j(A))),
% i(i(quotient(
% quotient(A,
% j(A)),i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(t(j(quotient(A,j(A))),
% i(i(quotient(quotient(A,
% j(A)),
% i(quotient(j(eta(A)),
% j(t(i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(i(quotient(
% i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(quotient(j(quotient(B,t(B,i(i(quotient(
% j(B),i(quotient(
% j(C),
% j(B))))))))),
% i(quotient(j(eta(A)),j(t(j(quotient(A,j(A))),
% i(i(quotient(quotient(A,
% j(A)),
% i(quotient(
% j(eta(A)),
% j(t(i(i(t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(i(quotient(
% i(t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))))
% Current number of equations to process: 0
% Current number of ordered equations: 3142
% Current number of rules: 119
% New rule produced :
% [575]
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(i(quotient(j(eta(A)),j(t(j(quotient(A,j(A))),
% i(i(quotient(
% quotient(A,
% j(A)),i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(t(j(quotient(A,j(A))),
% i(i(quotient(quotient(A,
% j(A)),
% i(quotient(j(eta(A)),
% j(t(i(i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(i(quotient(
% i(t(eta(A),
% quotient(
% j(eta(A)),
% i(t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(quotient(
% t(eta(A),
% quotient(x3,
% j(eta(A)))),
% i(i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(quotient(j(quotient(B,t(B,i(i(quotient(
% j(B),i(quotient(
% j(C),
% j(B))))))))),
% i(quotient(j(eta(A)),j(t(j(quotient(A,j(A))),
% i(i(quotient(quotient(A,
% j(A)),
% i(quotient(
% j(eta(A)),
% j(t(i(i(t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(i(quotient(
% i(t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))))
% <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(i(t(j(eta(A)),
% i(i(quotient(
% eta(A),
% j(
% j(
% quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))))))))))))),
% quotient(i(quotient(j(eta(A)),j(quotient(i(i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(i(quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(i(t(quotient(
% j(eta(A)),
% j(t(j(
% quotient(A,
% j(A))),
% i(i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(quotient(
% j(B),i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% i(i(t(quotient(j(eta(A)),j(quotient(i(i(quotient(
% j(eta(A)),
% j(quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(i(quotient(
% j(eta(A)),
% j(t(j(
% quotient(A,
% j(A))),
% i(i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(i(t(quotient(j(eta(A)),
% j(t(j(quotient(A,
% j(A))),
% i(i(quotient(
% quotient(A,
% j(A)),
% i(quotient(
% j(eta(A)),
% j(t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(quotient(j(B),
% i(quotient(
% j(eta(A)),
% j(t(j(quotient(A,
% j(A))),
% i(i(quotient(
% quotient(A,
% j(A)),
% i(quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))))))))))))),
% i(quotient(j(C),i(quotient(j(eta(A)),j(quotient(
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))),
% i(
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))),
% quotient(
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))),
% i(
% i(
% t(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3))))))))))))))))))),
% i(
% quotient(
% j(B),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% j(
% quotient(A,
% j(A))),
% i(
% i(
% quotient(
% quotient(A,
% j(A)),
% i(
% quotient(
% j(
% eta(A)),
% j(
% t(
% i(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A)))))))))))),
% i(
% i(
% quotient(
% i(
% t(
% eta(A),
% quotient(
% j(
% eta(A)),
% i(
% t(
% j(
% eta(A)),
% i(
% i(
% quotient(
% eta(A),
% j(
% quotient(A,
% j(A))))))))))),
% j(
% quotient(
% t(
% eta(A),
% quotient(x3,
% j(
% eta(A)))),
% i(
% i(
% quotient(
% j(
% eta(A)),
% j(x3)))))))))))))))))))))))))))))))))))))))))
% Current number of equations to process: 0
% Current number of ordered equations: 3141
% Current number of rules: 120
% New rule produced : [576] i(quotient(j(B),eta(A))) <-> quotient(eta(A),i(B))
% Current number of equations to process: 0
% Current number of ordered equations: 3139
% Current number of rules: 121
% New rule produced : [577] quotient(eta(A),i(B)) <-> i(quotient(j(B),eta(A)))
% Current number of equations to process: 0
% Current number of ordered equations: 3137
% Current number of rules: 122
% New rule produced :
% [578] i(quotient(eta(B),eta(A))) <-> quotient(eta(A),eta(B))
% Current number of equations to process: 0
% Current number of ordered equations: 3136
% Current number of rules: 123
% New rule produced :
% [579] quotient(eta(A),eta(B)) <-> i(quotient(eta(B),eta(A)))
% Current number of equations to process: 0
% Current number of ordered equations: 3135
% Current number of rules: 124
% New rule produced : [580] quotient(i(A),j(quotient(A,j(A)))) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 3133
% Current number of rules: 125
% New rule produced : [581] j(quotient(eta(A),i(i(B)))) <-> quotient(B,eta(A))
% Current number of equations to process: 0
% Current number of ordered equations: 3132
% Current number of rules: 126
% New rule produced : [582] quotient(B,eta(A)) <-> j(quotient(eta(A),i(i(B))))
% RuCputime limit exceeded (core dumped)
% 
% EOF
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